Ryan invested \$4,800$4,800 in an account in the year 1990, and the value has been growing exponentially at a constant rate. The value of the account reached \$6,300$6,300 in the year 1998. Determine the value of the account, to the nearest dollar, in the year 2007.

Answer:

To find the value of y when x is 1, we can substitute 1 for x in the equation and solve for y:

y = -3(1) + 2.5

y = -3 + 2.5

y = -0.5

Therefore, when x is 1, y is -0.5.

is the answer is correct? correct me if im wrong

Answer:

a)y=x+6

b)y=42

c)

Step-by-step explanation:

if x=8 ,y=14that means that y=x +a thus y=14,x=8 14=8+a hence a=14-8. a=6 thus y=x+6

using the equation in a above y =x+6 ,x=36 thus y=36+6 hence y=42

Answer:

73,700

Step-by-step explanation:

You round up on the hundreds place. 73,653

Hope this helps! :)

73,653 rounded to the nearest hundred is: 73,700.

Answer:

x = (-10 + sqrt(180)) / 8

= -1.25 + 0.75 * sqrt(5)

x = (-10 - sqrt(180)) / 8

= -1.25 - 0.75 * sqrt(5)

Step-by-step explanation:

To solve the given equation, we need to combine like terms and isolate the variable on one side of the equation. The given equation is:

2x(x+4)+7=(x+8)+2x(x+1)+12

We can start by expanding the parentheses on the left-hand side to obtain:

2x^2 + 8x + 7 = x + 8 + 2x^2 + 2x + 12

We can then combine like terms on both sides of the equation to get:

4x^2 + 10x - 5 = 0

To solve for x, we can use the quadratic formula, which states that the solutions of the equation ax^2 + bx + c = 0 are given by:

x = (-b +/- sqrt(b^2 - 4ac)) / 2a

In the given equation, we have a = 4, b = 10, and c = -5, so the solutions are:

x = (-10 +/- sqrt(10^2 - 4 * 4 * (-5))) / 2 * 4

= (-10 +/- sqrt(100 + 80)) / 8

= (-10 +/- sqrt(180)) / 8

This gives us two solutions:

x = (-10 + sqrt(180)) / 8

= -1.25 + 0.75 * sqrt(5)

x = (-10 - sqrt(180)) / 8

= -1.25 - 0.75 * sqrt(5)

These are the two solutions of the given equation. Note that we could also write the solutions in a simplified form by factoring the quadratic and using the zero product property, but the quadratic formula is generally more reliable and easier to use.

Answer:

166 meters/minute

Step-by-step explanation:

get speed in m/sec by multiplying 10 with 5/18

=

2.7m/sec

multiply it by 60 to get meters/minute

=

166 meters/minutes

Answer: 10/60, so 1/6 of a km of km per minute

Step-by-step explanation:

When a sample of size 25 is taken from a population with a mean of 120 and a standard deviation of 10,The expected distance between the sample mean and the population mean is 2.5.

The mean of a population is the average value of all the data points, while the standard deviation is a measure of how spread out the data points are. When a sample of size 25 is taken from a population with a mean of 120 and a standard deviation of 10, the expected distance between the sample mean and the population mean is 2.5. This is because the standard deviation of the sample mean is equal to the population standard deviation divided by the square root of the sample size. In this case, the standard deviation of the sample mean would be 10/5 = 2, and the expected distance between the sample mean and the population mean would be 2 x 2.5 = 2.5.

Standard deviation of the sample mean = Population standard deviation / √ Sample size

= 10 / √25

= 10 / 5

= 2

Expected distance between the sample mean and the population mean = 2 x 2.5

= 2.5

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Answer:

for the first question it would be 7.5

The second one would we 28

The third one would be A

Step-by-step explanation:

The height of the ball after x seconds is given by the quadratic function presented as follows:

y = -16t² + 8t + 4.

This is a concave down parabola, hence the vertex of the function is the maximum point.

The coefficients of the quadratic function are given as follows:

a = -16, b = 8, c = 4.

Then the x-coordinate of the vertex is given as follows:

x = -b/2a = -8/-32 = 0.25.

The maximum height of the ball is given as follows:

y = -16(0.25)² + 8(0.25) + 4 = -1 + 2 + 4 = 5 feet.

The ball hits the ground when:

y = 0.

Hence:

-16t² + 8t + 4 = 0.

Solving the quadratic equation, the positive solution is given as follows:

t = 0.809 seconds.

The graph of the quadratic function is given by the image shown at the end of the answer.

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Using simple mathematical operations we know that Ashok purchased rice and sugar which together weights 18.75kg.

A mathematical function known as just an operation converts zero or more input values into a precisely defined output value.

A quantity of operands affects the operation's arity.

Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction are all referred to as PEMDAS (from left to right).

So, we know that:

Ashok purchased 15.5kg of rice and 3.25 kg of sugar.

Now, the total weight of rice and sugar Ashok purchased is:

15.5 + 3.25

18.75kg

Therefore, using simple mathematical operations we know that Ashok purchased rice and sugar which together weights 18.75kg.

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Answer 8.06 X 10-8 M*4

Step-by-step explanation: No Explanation Just Answer srry could think of a way to say it.

After solving the equation, the value obtained will be equal to negative 11 over 35 times r plus negative 14. Hence, option C is correct.

If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.

The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. To include terms in an expression, a mathematical operation like reduction, addition, multiplication, or division is used.

As per the given statement in the question,

The equation will be,

(-1/5r - 6 - 5/7r) - (-3/5r) - 8

Rearrange the equation with like terms,

-1/5r - 5/7r + 3/5r - 8 - 6

(-7r - 25r + 21r)/35 -14

=-(11/35)r - 14.

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The solution to the inequality algebraically is -9 < x < 12

From the question, we have the following parameters that can be used in our computation:

negative 2 less-than startfraction x over 3 endfraction 1 less-than 5

Express the statement using numbers and expressions

So, we have the following representation

-2 < x/3 + 1 < 5

Subtract 1 from all sides of the inequality

This gives

-3 < x/3 < 4

Multiply through the inequality by 3

So, we have

-9 < x < 12

Hence, the solution is -9 < x < 12

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Answer:

b. Negative 9 less-than x less-than 12

Step-by-step explanation:

In each toss, the expected value is the probability of winning multiplied by the amount won, minus the probability of losing multiplied by the amount lost. The probability of winning is 1/2, or 0.5, and the probability of losing is also 1/2, or 0.5. The amount won is $2, and the amount lost is $0.50. So the expected value of each toss is 0.5 * $2 - 0.5 * $0.50 = $0.75.

Therefore, after 21 tosses, you would expect to gain an amount equal to 21 * $0.75 = $<<21*0.75=15.75>>15.75.

The likelihood or chance that a specific event will occur is represented by a probability. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities.

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a) The equation is: y = 2x + 3. b) The equations are :Point - slope form: y - 5 = -(x - 1).Slope - intercept form: y = -x + 6. c) The systems are consistent independent. d) The point of intersection is (1, 5).

Linear function

A linear function is defined in slope-intercept formula by the rule presented as follows:

y = mx + b.

In which:

m is the constant rate of change of the function, called slope.

b is the value of y when x = 0, called intercept.

For Sidewalk 1, it is found that:

When x increases by 2, y increases by 4, hence the slope is of m = 2.

When x = 0, y = 3, hence the intercept is of b = 3.

Then the rule is:

y = 2x + 3.

For Sidewalk 2, when x changes by 2, y decays by 2, hence the slope is:

m = -2/2 = -1.

The line goes through point (1,5), hence the equation in point-slope form is:

y - 5 = -(x - 1).

Combining the like terms, the slope-intercept form is:

y - 5 = -x + 1

y = -x + 6.

Since the two lines have different slopes, the system is consistent independent.

The x-coordinate of the intersection is:

-x + 6 = 3 + 2x.

3x = 3

x = 1.

The y-coordinate is:

-x + 6 = -1 + 6 = 5.

Hence the intersection point is:

(1, 5).

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The two different quantities Analia thought to measure which school has higher academic performance are :

B. Graduation rate / Budget per student

D. SAT average / Budget per student

In other to define a quantity which measures academic achievement;

We take the ratio of a related metric or parameter which is a measure of the academic performance of the student in each school and the budget per student for each school .

The parameters which could be used to measure academic achievement are;

The graduation rate of each school.

The SAT average of each school.

Hence, the quantity to measure academic achievement relative to budget per student could be expressed as ;

Graduation rate / Budget per student

SAT average / Budget per student

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The changes in the river water level with reference to the normal water level in the 9-day period is analyzed as follows;

Part A: The numerical expression representing the water level after the 9-day period is; -12 + 18 - 8 × 2.6

Part B; -12 + 18 - 8 × 2.6 = -14.8

Part C; The meaning of -14.8 is that the water level after the 9-day period is 14.8 centimeters below the normal water level.

A mathematical expression is a collection of numbers and, or variables and operators combined according to the rules of mathematical operations.

Part A

The water level of the river at the start = 12 centimeters below its normal level

The amount by which the water level increases after a day of rain = 18 centimeters

The amount by which the water level reduces in the next 8 days = 2.6 centimeters per day

The numerical expression that represents the water level in the 9-day period is therefore;

-12 + 18 - 8 × 2.6

Part B

The value of the expression -12 + 18 - 8 × 2.6 is; -12 + 18 - 8 × 2.6 = -14.8

Part C

The meaning of the value -14.8 is that the water level after the 9-day period is 14.8 centimeters below the the normal water level of the river

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The total weight of Mrs. Portillo's cat and the dog is 34 kilograms.  

The mathematical operations known as operators focus on particular activities, such as adding, taking away, adding multiple times and dividing equally, etc.

The four fundamental operations in Maths are

1. Addition

2. Subtracting

3. Multiplications

4. Divisions

Here we use Addition to solve the problem

Here we have

Cat's weight = 6 kilograms

Her dog weighs 22 kilograms more than her cat

Weight of dog = Cat's weight + 22 kilograms

= 6 kilograms + 22 kilograms

= 28 kilograms

Total weight of Mrs. Portillo's cat and dog = 6 + 28 = 34 kilograms

Therefore,

The total weight of Mrs. Portillo's cat and the dog is 34 kilograms.  

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Complete Question:

What is the total weight of her cat and dog? Mrs. Portillo's cat weighs 6 kilograms her dog weighs 22 kilograms more than her cat.

Answer: b=2/5

Step-by-step explanation:

Step 1: Cross-multiply.

2b−1/2 = b−1/6

(2b−1)*(6)=(b−1)*(2)

12b−6=2b−2

Step 2: Subtract 2b from both sides.

12b−6−2b=2b−2−2b

10b−6=−2

Step 3: Add 6 to both sides.

10b−6+6=−2+6

10b=4

Step 4: Divide both sides by 10.

10b/10 = 4/10

b = 2/5

There are 6 different possible outcomes.

What is probability ?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

The party which calls the coin's side wins.

We find it because when we turn a coin very often, humans get half the heads and half the tails.

The chances of swinging the head are 1/2 , and the chances of swinging the tail are 1/2 .

Total outcomes = 2×5×6

                           = 60

So the final answer is 60

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Answer:

150 sequences

Step-by-step explanation:

Let's find the sets of 5 integers less than or equal to 6 that could multiply to 300 (where order doesn't matter for right now):

1, 2, 5, 5, 6

1, 3, 4, 5, 5

2, 2, 3, 5, 5

Now let's find the number of unique ways we could reorder these sets

There are [tex]\frac{5!}{2!} = 60[/tex] ways to order {1, 2, 5, 5, 6}

There are [tex]\frac{5!}{2!} = 60[/tex] ways to order {1, 3, 4, 5, 5}

There are [tex]\frac{5!}{2!2!} = 30[/tex] ways to order {2, 2, 3, 5, 5}

There could have, therefore, been 60 + 60 + 30 = 150 different sequences of rolls

The area of a circle is given by the formula:

area = pi * r^2

where pi is a constant approximately equal to 3.14 and r is the radius of the circle.

To find the area of the circle, we first need to find the radius. The radius is half the diameter, so the radius of the circle is 20/2 = 10 feet.

Plugging this value into the formula, we get:

area = 3.14 * 10^2 = 3.14 * 100 = 314 square feet

So the area of the circle is 314 square feet.

Answer:

100π, or about 312. Could also be 314.16 if it needs to be rounded.

Step-by-step explanation:

First, the area of a circle is πr^2

To find radius, it's diameter/2.

So the radius is 20/2 which is 10.

With this, we plug it in: π(10)^2 = π100 = 100π.

That is an exact answer. For a rounded answer, assume π = 3.14.

3.14*100 = 314 sqr feet.

However, it you want to round the final answer, 100π is around 314.159265359 thus making rounding to the nearest hundredth 314.16.

Answer: It appears to take the same amount of time to serve each customer

It takes 40 minutes to serve  10 customers.

Step-by-step explanation:

It appears to take the same amount of time to serve each customer

To find the number of minutes it takes

Divide the number of times by the number of customers

16/4 = 4

it takes 4 minutes to serve 1 customer

Find the number of time it takes to serve 10 customer

10*4=40

It takes 40 minutes to serve  10 customers.

Answer:

The slope of AB = slope of CD and slope of BC = slope of DA

Hope this helps!

Step-by-step explanation:

The solution for d in the equation v = √64d is d = v²/64

From the question, we have the following parameters that can be used in our computation:

v = √64d

Take the square root of both sides

So, we have the following representation

v² = 64d

Divide both sides of the equation by 64

So, we have the following representation

v²/64 = d

Rewrite as

d = v²/64

Hence, the value of d is d = v²/64

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The number of times that she has filled her 12-fluid-ounce will be 33.307.

Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.

We know that in 1 gallon, there are 133.228 fluid ounces.

The amount of coffee in 3 gallons will be given as,

3 gallons = 3 x 133.228

3 gallons = 399.684 fluid ounces

The number of times that she has filled her 12-fluid-ounce will be given as,

⇒ 399.684 / 12

⇒ 33.307

The number of times that she has filled her 12-fluid-ounce will be 33.307.

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Answer:

a

Step-by-step explanation:

The equivalent of two reflections across intersecting lines is a glide reflection.

A glide reflection is a combination of a translation and a reflection. It involves moving an object along a line, and then reflecting the object across the same line. Since a reflection is an isometry (a transformation that preserves the distance between points), a glide reflection is also an isometry.

In contrast, a rotation is a transformation that involves turning an object around a fixed point, and a reflection is a transformation that involves flipping an object across a mirror line. Neither of these transformations is equivalent to two reflections across intersecting lines.

Therefore, the correct answer is (a) glide reflection.

Answer:

Mabel will pay $91.53 for the television.

Step-by-step explanation:

To calculate the total cost of the television including sales tax, we first need to calculate the amount of sales tax by multiplying the price of the television by the sales tax rate. This gives us $84.75 * 0.08 = $6.78 in sales tax.

To find the total cost of the television, we add the price of the television to the sales tax amount. This gives us $84.75 + $6.78 = $91.53.

Therefore, Mabel will pay $91.53 for the television.

By solving simultaneous linear equation, it can be calculated that

Speed of the current is 5 miles/hour

What is simultaneous linear equation?

At first it is important to know about linear equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.

Here a simultaneous linear equation needs to be solved

Let the speed of boat in still water be x miles/hour and speed of stream be y miles/hour

Speed of the boat downstream = (x  + y) miles/hour

Speed of the boat upstream = (x - y) miles/hour

A boat travels 80 miles downstream in 4 hours

x + y = [tex]\frac{80}{4}[/tex]

x + y = 20 .... (1)

A boat travels 80 miles upstream in 8 hours

x - y = [tex]\frac{80}{8}[/tex]

x - y = 10 .... (2)

Subtracting (2) from (1)

2y = 10

y = [tex]\frac{10}{2}[/tex]

y = 5 miles/hour

Speed of the current is 5 miles/hour

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The distance formula can be used to determine this distance. The formula d = (x 2  x 1 ) 2 + (y 2  y 1 ) 2 can be used to describe the distance that separates the two points (x 1, y 1) and (x 2, y 2).

The y-coordinate comes after the x-coordinate in every case. The coordinate grid below demonstrates that the ordered pairs (3,4) and (4,3) are two distinct points!

Coordinates are written as (x, y), with the x-axis point being written first and the y-axis point following. The expression "along the corridor, up the stairs" may be used to remind some children of this, instructing them to follow the x axis first and then the y.

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