Peter has collision insurance with $1000 deductible. He backs his car into a lamppost and causes $4300 worth of damage to the car. How much will his insurance company have to pay (assuming he is covered).

Answers

Answer 1
In this situation, Peter's insurance company will pay for the damages to the car, minus the deductible. The deductible is the amount of money that the insured party (in this case, Peter) is responsible for paying before the insurance company will cover the rest of the damages.

Since Peter has a $1000 deductible and the damages to the car are $4300, the insurance company will pay $4300 - $1000 = $3300 for the damages.

So, in this case, the insurance company will have to pay $3300 to cover the damages to Peter's car.

Related Questions

In a video game, Clare scored 50% more points than Tyler. If c is the number of points that Clare scored and t is the number of points Tyler scored, which equations, are correct?

Answers

Answer:

c= 1.5t, c=t+0.5t and c=(1+0.5)t

Step-by-step explanation:

Given that, Clare scored 50% more points than Tyler, c is the number of points that Clare scored and t is the number of points that Tyler scored,According to question,c = 150% of tc = 1.5tHence, the correct options are c = 1.5t, c = t+0.5t and c = (1+0.5)t

5400 dollars is placed in an account with an annual interest rate of 6.75%. To the nearest tenth of a year, how long will it take for the account value to reach 11200 dollars?

Answers

The time needed for the account value to reach 11200 dollars is approximately 15.9 years.

What is the time required to reach the accrued amount?

Simple interest formula is expressed as;

A = P( 1 + rt )

Where A is accrued amount, P is principal, r is interest rate and t is time.

Given the data in the question;

Accrued amount A = $11200 Principal P = $5400Interest I = 6.75%Time r = ?

Plug the given values into the above formula and solve for time t.

A = P( 1 + rt )

A/P = 1 + rt

( A/P - 1 ) = rt

t = ( A/P - 1 ) / r

t = ( $11200/$5400 - 1 ) / 6.75%

t = ( $11200/$5400 - 1 ) / 6.75/100

t = ( 56/27 - 1 ) / 0.0675

t = ( 29/27 ) / 0.0675

t = 15.9 years.

Therefore, the required time to reach the accrued amount is 15.9 years.

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Which expression is equivalent to 5–√3⋅4–√5
5
3

4
5
?

Answers

The expression that is equivalent to  ∛ 5 * [tex]\sqrt[5]{4}[/tex] is [tex]5^{1/3}*4^{2/5}[/tex]

What are radicals in math?

A radical in mathematics is the opposite of an exponent, which is symbolized by the sign "n√" also known as root.

The number before the symbol or radical is regarded as an index number or degree, and it can either be a square root or a cube root and so on.

How to find the equivalent expression

This equation represents exponents in fraction form and the basics for the calculation is from

x^(b/n)

[tex]\sqrt[n]{x}^{b}[/tex]

Rewriting the expression is done as below

∛ 5

= [tex]5^{1/3}[/tex]

and

[tex]\sqrt[5]{4}[/tex]

[tex]= 4^{2/5}[/tex]

combining both gives

∛ 5 * [tex]\sqrt[5]{4}[/tex]

[tex]5^{1/3}*4^{2/5}[/tex]

[tex]5^{1/3}*4^{2/5}[/tex] is the equivalent expression

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What is the value of p in the equation p3=−0.027 ?

Answers

Answer:I hope this helpful mark me brainlist if correct then no if wrong

Step-by-step explanation:

P times 3 =-0.0027

Use the commutative property to reorder the terms

3p=-0.0027

Divide both sides of the equation by 3

p=-0.009 or p=-9/1000

Margo borrows $1000, agreeing to pay it back with 7% annual interest after 9 months. How much interest will she pay?

Answers

The interest over 18 months will be $105.00 if Margo borrows $1000, agreeing to pay it back with 7% annual interest.

What is simple interest?

It is defined as the interest on the based on the principal amount, it does not include the compounded amount. The interest calculate on the initial amount or borrowed amount.

It is given that:

Margo borrows $1000, agreeing to pay it back with 7% annual interest after 9 months

I = Prt

= 1.5 x 7%

= 1.5 x .07

= 0.105

= $1000 x .105

= $105.00

Thus, the interest over 18 months will be $105.00 if Margo borrows $1000, agreeing to pay it back with 7% annual interest.

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Solve the system of equations by graphing.
1. y = x - 1
y = 2x - 2
2. y = 4x
y = x + 3
3. y - x = 1
y = x - 2 + 3

Answers

Answer:

Step-by-step explanation:

1) x - 1 = 2x - 2

-x = -1

x = 1

2) 4x = x + 3

3x = 3

x = 1

3) x + 1 = x + 1

infinite solutions (parallel lines)

For graphing, just look at the y-intercept, in the equation y = mx + b.

b is the y-intercept, so, for you plot the y-intercpet on the y-axis. You look at m, which is the slope. For positive, you go up how many ever it says in the numerator and then to the right how many ever it says in the denominator. For a negative you do the same thing except you go down and then to the right, or up and to the left. For positive there is only up and then to the right. I hope this answers your question.

The owner of a factory wants to determine a confidence interval for the average wages at his factory. The population average wages is unknown. However, the owner was able to take a random sample of 64 workers. He found that the average salary for this sample of workers is $50,000. The population standard deviation is $3000. He calculated a 99% confidence interval for the population average wages at the factory. Which of the following choices is correct? Assume the distribution of wages is normally distributed.

Answers

4,034.06 ,5,965.94 are confidence interval for the population average wages at the factory.

What is confidence interval estimation?

Your estimate's mean plus and minus the range of that estimate's fluctuation is called a confidence interval.

                                              If you repeat your test, you can expect your estimate to fall between these numbers with a reasonable degree of certainty.  Another term for probability in statistics is confidence.

The formula for confidence interval estimation is:

μ = M ± Z(sM)

where:

M = sample mean

Z = Z statistic determined by confidence level

sM = standard error = √(s2/n)

M = 50000

Z = 2.58

sM = √(30002/64) = 375

μ = M ± Z(sM)

μ = 50000 ± 2.58*375

μ = 50000 ± 965.94

μ = 4,034.06 ,5,965.94

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Interest obtained on a sum of Rs. 5000 for 3 years is Rs. 1500. Find the rate percent

Answers

Rate percent is 10%

What is rate percent ?

A coefficient that is a quotient of two values, where the denominator is written in percentage points and has the same units as the numerator when it is multiplied by a unit of time.

According to the given information

Sum of money ( principal ) P = 5000 rupees

Interest obtained in money = 1500 rupees

Time duration T = 3 years

According to the given information

I = P × T × [tex]\frac{R}{100}[/tex]

1500 = 500 × 3 × R/100

Rate percent is 10%

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(a) The diameter of Mars at its equator is approximately 6.79*10^3 kilometers. Write this number in standard notation.

Answers

Answer:

6790 km

Step-by-step explanation:

move the decimal 3 places to the right.

a hemispherical tank is filled with water and has a diameter of 10 feet. if the water weighs 62.4 pounds per cubic foot. what is the total weight of the water in a filled tank

Answers

The total weight of the water in a filled tank will be equal to 16,336 Pounds.

What is Volume?

Every three-dimensional item takes up space in some way. The volume of this area is what is used to describe it. The area covered within an entity's three-dimensional bounds is referred to as its volume. The object's size is another name for it.

As per the given data in the question,

Radius, r = 10/2 = 5 ft.

Use the equation of the volume of a sphere,

V = 4/3πr³

We only require half of it then,

V =  2/3πr³

V = 261.8 ft³

So, the total weight will be,

W = 261.8 × 62.4

W = 16,336 Pounds.

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If the ratio of hotels to office buildings with 4 to 9 find the ratio of office buildings to hotels

Answers

The ratio shows how many times one value is contained in another value.

The ratio of office buildings to hotels will be 9 : 4.

What is a ratio?

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

The ratio of hotels to office buildings = 4 : 9

Now,

The ratio of office buildings to hotels will be 9 : 4.

Thus,

The ratio of office buildings to hotels will be 9 : 4.

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The vertices of a rectangle are W(1, 2) X(4, 2) Y(4, 23) and Z(1, 23) Find the perimeter of the rectangle. Use words, numbers, or models to justify your answer.

Answers

The vertices of a rectangle are W(1, 2) X(4, 2) Y(4, 23) and Z(1, 23) Find the perimeter of the rectangle is 16.

Step-by-step explanation:

We could use the distance formula to find the distance between the points in this problem, but when we look we see that the sides of the rectangle are parallel to the x and y-axis for each pair of sides. The first two points have a distance of 3 because 4-1=3. Since it is a rectangle, the opposite side will have the same length. For the sides perpendicular, we look at the points with the same x coordinate. Using (4,2) and (4,-3), we can calculate the length of the side by finding the distance by adding the absolute values of the y coordinate. 2+3=5. This means that the triangle has two sides with a length of 5 and two sides with a length of 3. Adding these together, 5+5+3+3 = 16.

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Breaking strengths of a random sample of 28 molded plastic housing were measured, and a sample standard deviation of S=19.52 was obtained. A confidence interval (439.23, 460.77) for the average strength of molded plastic housings were constructed from these results. What is the confidence level of this confidence interval?

Answers

The confidence interval of this confidence level as calculate from the given data is 3.68 and 99% respectively.

Number of random sample (n)=28

Sample Standard deviation (S)=19.52

Confidence interval = 439.23 -  460.77 =  21.54

t = s/root of n

=19.52 /5.29

=3.68

v = n -1 = 27

now, confidence level

= 1 - alpha

= 99%

Confidence Interval, put simply, is a range within which we are confident that the genuine value exists. The probability that a confidence interval will contain the real parameter value depends on the confidence level that is chosen for the interval.

The phrase "Confidence Interval" refers to the range of values that is typically used to handle population-based data, extracting precise, important information with a given level of confidence.

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A rectangle is 5 inches long and 2x inches wide. The value of the perimeter in inches) is equal to the value of the area (in square inches). Find x.

Answers

Answer:

the width of the rectangle is -5/3 inches.

Step-by-step explanation:

To find the perimeter of the rectangle, we add together the lengths of all four sides. Since the rectangle is 5 inches long and 2x inches wide, the perimeter is given by:

Perimeter = 5 + 2x + 5 + 2x = 10 + 4x

To find the area of the rectangle, we multiply the length by the width. The area is given by:

Area = 5 * 2x = 10x

Setting the perimeter equal to the area, we have:

10 + 4x = 10x

Subtracting 10 from both sides, we have:

4x = 10x - 10

Combining like terms, we have:

-6x = -10

Dividing both sides by -6, we have:

x = 10 / -6

Simplifying, we have:

x = -5/3

M < a = ?
M < d = ?

please help!!

Answers

Answer:

m∠A = 60

m∠D = 60

Step-by-step explanation:

∆ABC and ∆DEF are congruent triangles

So,

m∠A = m∠D

x + 30 = 2x

2x - x = 30

x = 30

So,

m∠A = x + 30 = 30 + 30 = 60

m∠D = 2x = 2(30) = 60

Thus, m∠A and m∠D are 60°

Find m in equation, W=1/2*m*v squared?

Answers

Answer: To find the value of m in the equation W = 1/2 * m * v^2, you need to know the values of W and v. The variable m represents the mass of the object, and W represents the kinetic energy of the object. The equation states that the kinetic energy of an object is equal to 1/2 of its mass multiplied by its velocity squared.

If you are given the values of W and v, you can solve for m by rearranging the equation as follows:

m = 2 * W / v^2

Plugging in the values of W and v will give you the value of m.

For example, if W = 100 joules and v = 10 meters per second, the equation would be:

m = 2 * 100 joules / 10 m/s^2 = 20 kilograms

This is the mass of the object.

Answer:

[tex]m=\frac{2W}{v^{2} }[/tex].

Step-by-step explanation:

1. Write the expression.

[tex]W=\frac{1}{2} mv^{2}[/tex]

2. Divide both sides of the equation by [tex]\frac{1}{2}[/tex] and [tex]v^{2}[/tex].

[tex]\frac{W}{\frac{1}{2} v^{2} }=m\\ \\[/tex]

3. Rewrite and simplify.

[tex]m=\frac{W}{\frac{1}{2} v^{2} }\\ \\m=\frac{2W}{v^{2} }[/tex].

-6x+3y=24 in slope intercept form

Answers

Answer:

y=2x+8

Step-by-step explanation:

-6x+3y=24

-6x+6x+3y=24+6x  ==> isolate the y variable

3y=6x+24  ==> simplify

(3y=6x+24)/3

y=2x+8  <== y=mx+b  <== slope intercept form


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After going to your favorite restaurant for dinner and buying food for everybody the bill came to $145. You decide to leave 30% tip and the tax came to 10%.
How much was your total bill?

Answers

Answer:

203 dollars

Step-by-step explanation:

100 percent = 145

10 percent = 14.5

30 percent = 43.5

43.5 + 14.5 + 145 = 203

Devaughn's age is three times Sydney's age. The sum of their ages is 116. What is Sydney's age?

Answers

Hello,

I hope you and your family are doing well!

Let's call Sydney's age x and Devaughn's age y. We know that y = 3x and x + y = 116.

Substituting the first equation into the second equation gives:

3x + x = 116

4x = 116

x = 29

So Sydney's age is 29.

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Happy Holidays!

What is the area of a semicircle with a diameter of 20?

Answers

Answer:

[tex]\huge\boxed{\sf 157.1 \ units^2}[/tex]

Step-by-step explanation:

Diameter = 20

Radius = Diameter/2 = 20/2 = 10

Area of semicircle:

[tex]\displaystyle =\frac{\pi r^2}{2} \\\\r = 10\\\\= \frac{\pi (10)^2}{2} \\\\= \frac{100 \pi}{2} \\\\= \frac{314.2}{2} \\\\= 157.1 \ units^2\\\\\rule[225]{225}{2}[/tex]

3. The diameter of an atom is 0.0000000001 inches. Which of these is an appropriate
estimate for the diameter of an atom?
1×10-10
A.
B.
1×10-9
C. 1×10¹0
D. 1×1019
in.
in.
in.
in.

Answers

Answer:

a. [tex]1 * 10^{-10}[/tex]

Explanation:

A converted to standard notation is the same number.

the manager of a theater wants to know whether the majority of its patrons are adults or children. One​ day, 5100 tickets were sold and the receipts totaled ​$29,484. The adult admission is ​$7.50, and the​ children's admission is ​$4.50. How many adult patrons were​ there

Answers

We can estimate the number of adult partons at 2187 by solving equations.

What do we mean by equations?

The equals sign is a symbol used in mathematical formulas to denote the equality of two expressions.

A function is an equation that has only one answer for y for every possible value of x.

When utilizing a function, each input of a specific type receives exactly one output.

A function is commonly referred to as f(x) or g instead of y. (x).

Because f(2) instructs us to do so, we should figure out the value of our function when x is equal to 2.

So, the total number of adults present was thus:

Let a be an adult, and b and c be kids.

Ticket totals:

a + c = 5200

c = (5200-a)

Total amount:

7.50a + 4.50c = 29961

In the first equation, swap out c with (5200-a).

7.5a + 4.5(5200-a) = 29961

7.5a + 23400 - 4.5a = 29961

7.5a - 4.5a = 29961 - 23400

3a = 6561

a = 6561/3

a = 2187

Therefore, we can estimate the number of adult partons at 2187 by solving equations.

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PLS HELP! 70 POINTS!!
Mr. Mudd gives each of his children $2000 to invest as part of a friendly family competition. The competition will last 10 years. The rules of the competition are simple. Each child can split up his or her $2000 into as many separate investments as they please. The children are encouraged to do their research on types of investments. The initial investments made may not be changed at any point during the 10 years; no money may be added and no money may be moved. Whichever child has made the most money after 10 years will be awarded an additional $10,000.
The table shows the investment made by each of Mr. Mudd’s children, and what happened to their investment over the decade long friendly competition.
Child Performance of investments over the course of the competition
Albert $1000 earned 1.3% annual interest compounded monthly
$500 lost 3% over the course of the 10 years
$500 grew compounded continuously at rate of 0.7% annually
Marie $1500 earned 1.3% annual interest compounded quarterly
$500 gained 3% over the course of 10 years
Hans $2000 grew compounded continuously at rate of 0.8% annually
Max $1000 decreased in value exponentially at a rate of 0.6% annually
$1000 earned 1.9% annual interest compounded biannually (twice a year)
Make sure to show your work
1. What is the balance of Albert’s $2000 after 10 years?
2. What is the balance of Marie’s $2000 after 10 years?
3. What is the balance of Hans’ $2000 after 10 years?
4. What is the balance of Max’s $2000 after 10 years?
5. Who is $10,000 richer at the end of the competition?

Answers

Answer:

Albert = $2159.07; Marie = $2244.99; Hans = $2188.35; Max = $2147.40

Marie is $10 000 richer

Step-by-step explanation:

Albert

(a) $1000 at 1.2 % compounded monthly

A = P (1 + r/n )^nt

A = 1000(1 + 0.001)¹²⁰ = $1127.43

(b) $500 losing 2%

0.98 × 500 = $490

(c) $500 compounded continuously at 0.8%

A = Pe^rt

  = 500e^0.008 * 10

 =  $541.64

(d) Balance

Total = 1127.43 + 490.00+ 541.64 = $2159.07

Marie

(a) 1500 at 1.4 % compounded quarterly

A = 1500(1 + 0.0035)⁴⁰ = $1724.99

(b) $500 gaining 4 %

1.04 × 500 = $520.00

(c) Balance

Total = 1724.99 + 520.00 = $2244.99

Hans

$2000 compounded continuously at 0.9 %

A = 2000e^0.009 * 10

  = $ 2188.35

Max

(a) $1000 decreasing exponentially at 0.5 % annually

A = 1000(1 - 0.005)¹⁰= $951.11

(b) $1000 at 1.8 % compounded biannually

A = 1000(1 + 0.009)²⁰ = $1196.29

(c) Balance

Total = 951.11 + 1196.29 = $2147.40

Marie is $10,000 richer at the end of the competition.

Hope this helps!!! :)

can someone help me with this circle question asap

Answers

The point which satisfies equation is (-2,4)

What is circle?

A circle could be a form consisting of all purposes during a plane that are at a given distance from a given point, the centre.

Main body:

The center of circle formula is also known as the general equation of a circle. In a circle, if the coordinates of the center are (h,k), r is the radius, and (x,y) is any point on the circle, then the center of circle formula is given below:

Formula of circle =

(x - h)² + (y - k)² = r²

According to question:

center of circle = (2,1)

diameter of circle = 10 units

radius = 5 units

equation of circle ⇒

(x - 2)² + (y - 1)² = 25

for a point to lie on circle , it need to satisfy the equation of circle:

A) (1,-3)

⇒(1 - 2)² + (3 - 1)²

⇒(-1)² +2²

⇒5

so it does not lie on circle.

B) (-2,4)

⇒(-2 - 2)² + (4 - 1)²

⇒-4²+3²

⇒ 25

so, it satisfies the equation.

hence, the point which satisfies equation is (-2,4)

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In a recent year 365 days a hospital had 5814 births. find the mean number of births per day

Answers

Answer:

ANS:- 15.9

Step-by-step explanation:

5814/365 = 15.9

The appropriate answer is

would 0 births in a single day be a significantly low number of births? a. the mean number of births per day is 15.7 .

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given the graph of f(x)on the right,determine the type of the function help for number 2

Answers

The type of the function for the given graph f(x) on the right is odd function.

What is meant by a function?

An exact one of each element of Y is assigned to each element of X via a mathematical function from a set X to a set Y. The sets X and Y are denoted by the terms "domain" and "codomain," respectively.

The link between varying amounts and other variables was the foundational idea behind functions. The effect of time on a planet's position serves as an example of this. The infinitesimal calculus was used to develop the concept in the past, beginning at the end of the 17th century and continuing through the 19th century.

An odd function's graph possesses rotational symmetry with respect to the origin, which means that it doesn't change after being rotated by 180 degrees around the origin.

Therefore, The type of the function for the given graph f(x) on the right is odd function.

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After Becca's half-marathon, her pedometer showed 23, 580 steps, while Alex recorded

2.42 x 104 steps after the same race. What is the combined amount of their steps?

A
4.778 x 103 ; 4,778

B
2.3822 x 104 ; 23,822

C
4.778 x 104 ; 47, 780

D
4.808 x 104 ; 48,080

Answers

Answer:

Below

Step-by-step explanation:

2.42 x 10^4  = 24200

 24200

+ 23580

 47 780    or   4.778 x 10^4

Maximize: Profit = 20x + 30y


Constraints:

x + y <12
x + 2y<12
2x + y<12
x>0
y>0

Answers

Answer:

x> -10

Step-by-step explanation:

In a lottery game, a player picks six numbers from 1 to 28. If the player matches all six numbers, they win 50,000 dollars. Otherwise, they lose $1.

What is the expected value of this game?

Answers

The expected value of this game will be 1,784.75.

What is the expected value?

In parameter estimation, the expected value is an application of the weighted sum. Informally, the expected value is the simple average of a considerable number of individually determined outcomes of a randomly picked variable.

The expected value is given below.

E(x) = np

Where n is the number of samples and p is the probability.

In a lottery game, a player picks six numbers from 1 to 28. Assuming the player matches each of the six numbers, they win 50,000 bucks. In any case, they lose $1.

Then the probability of winning (p) and losing (q) is given as,

p = 1 / 28

q = 27 / 28

Then the expected value is given as,

E(x) = 50,000 (1 / 28) - 1 (27 / 28)

E(x) = 1785.714 - 0.964

E(x) = 1,784.75

The expected value of this game will be 1,784.75.

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Question 5 (1 point)
Dev has a monthly food budget of $182. He maps the amount of money, x, he spends each month to the number of food items he buys.
What are the constrains on the domain?
O a
domain:x>182
Ob
domain: x20
Oc domain: x ≤182
Od domain: 0≤x≤182

Answers

For the function in the given case the constraint on domain can be written as  x ≥ 182. The correct option is (a).

What is a function?

A function y = f(x) is a one to one relationship between two sets X and Y where the set X is called the domain and Y the range of function f(x) ans x ∈ X and y ∈ Y.

Suppose the amount of money spent be x.

And, the number of food items be y.

Now, as per the question the function can be written as follows,

y = x/182

As the number of food items can only be positive integers, the values of x must be the multiples of 182.

Thus, the expression for the domain can be written as x ≥ 182.

Hence, the constraint on the domain is given as x ≥ 182.

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porous, water-saturated layers of underground bedrock, sand, and gravel that can yield economically significant amounts of water are referred to as: which sentence is expressed correctly? question 12 options: a) will you please send the latest budget figures when you get a chance? b) could you please send me the latest budget figures when you get a chance? c) will you please send the latest budget figures when you get a chance. What is the equation of the line that passes through the point (2, 6) and has a slopeof-1/2 What, according to Washington's address, is the relationship between freedom and the union? Answer both questions pls brainliest a rectangle is 19 feet long and 3 feet wide find the area A newborn is protected against certain digestive and respiratory infections thanks to IgA from the mother's. Select one: a. milk. b. blood. c. intestine. two of the steps in the oxidative decarboxylation of pyruvate (steps 4 and 5 in the figure) do not involve any of the three carbons of pyruvate, yet are essential to the operation of the pyruvate dehydrogenase (pdh) complex. Why are steps 4 and 5 essential to the operation of the PDH complex? They transfer a thiol group from coenzyme A to acetyl lipoyllysine. They reduce the disulfide bond in oxidized lipoyllysine. They reoxidize the reduced lipoamide cofactor. They catalyze the synthesis of hydroxyethyl thiamine pyrophosphate (TPP). Please Help need ASAP :(( Question 134 Bessie is doing her laundry. She originally put 9 shirts, 6 pairs of pants, and 12 pairs of socks in the dryer, and now she is pulling out clothes at random. So far, she has pulled out 4 shirts, 3 pairs of socks, and 2 pairs of pants. What is the probability that she will pull out pants next?Answer choices are belowA 2/3 .B 1/9. C 2/9 . D 3/18. Use the table below to calculate the atomic mass of element X. Then use the periodic table to identify the element. Show all your work. What was the benefit of following the Eightfold Path for people who believed in reincarnation? Round off to 3 decimal places.55.7796 = Consider a circle whose equation is x2 + y2 2x 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x 1) + y = 3. The radius of this circle is the same as the radius of the circle whose equation is x + y = 9. As part of an ongoing service project, the students at Allenville High School recently spent an afternoon planting trees. They planted an average of 8 trees per participant. Soon they plan to do some more planting, averaging 12 trees per participant. If everything goes as planned, what will be the percent of increase in the average number of trees planted? Find the sum.(4x + x 4) + (2x + 4x + 5) =20 POINTS PEASE the enzymes that catalyze cellular reactions are macromolecules made of organic compounds composed of carbon, hydrogen, oxygen, and nitrogen. these types of macromolecules are known as In class of students, the following data table summarizes how many students play and instrument or a sport. What is the probability that a student who plays a sport also plays an instrument? b) Look at the graphs with correlation coefficients of r= 0.9 and r=-0.5, What kind ofrelationship does each of these values indicate? (2 points) Find the point of intersection for the pair of linear equations.x+y= -8.5y = 2x + 4.4A. (-4.3, -4.2)B. (-4.1, 4.4)C. (1.9, -3.7)D. (-3.1, 2.4) maria, age 68, has difficulty managing simple everyday tasks because of the painful swelling of the joints in her hands. what condition is maria likely to be diagnosed with?