Match each pair of angles to their angle pair name.
<2&<7
<5 & <8
<9 & <16
<1 & <3
<4 & <3
<14 & <15

Carmen invested her saving in fund B as $11,000.

For the given question;

Let 'x' be the amount invested by Carmen in fund B.

The, the amount invested in fund A is x - 5000.

The profit on fund A is 2% = 2%(x - 5000).

the profit on fund B is 5% = 5%(x).

Then, the total profit is $670.

The equation will be .

2%(x - 5000) +  5%(x) = 670

2(x - 5000)/100 +  5(x)/100 = 670

2x - 10,000 + 5x = 67,000.

Further simplifying.

7x = 67,000 + 10,000

7x = 77,0000

x = 11,000

Thus, amount invested in fund B is $11,000.

To know more about the investment, here

https://brainly.com/question/3729664

#SPJ13

Answer:660 in

Step-by-step explanation: Just add 6 sides, 9 ft= 108 in, + 2 in = 110, 110x6 = 660

This is an invalid statement. The law of syllogism is what was used to draw the conclusion in the statement here.

This is the law that is used in logic in the form of

The law of Syllogism can be interpreted as if a person is at least at the age of 25 then they rae able to rent a car. Now given that Anna has fulfilled this condition because she is at the age of 28, then she would be able to rent a car.

Therefore the second option ios correct

Read more on law of syllogism here:

https://brainly.com/question/361872

#SPJ1

The number (3×100)+(1×110)+(4×11,000) in standard form will be 4.4410 × 10⁴

It should be noted that standard form simply means a way of presenting numbers as a mathematical expression.

The number given is illustrated as:

= (3×100)+(1×110)+(4×11,000)

= 300 + 110 + 44000

= 44410

This will be expressed in standard form as:

= 4410

= 4.4410 × 10⁴

Learn more about standard form on

brainly.com/question/19169731

#SPJ1

The plane left Bristol airport at 16:55.

This is a problem from time and distance. We can solve this problem by following a few steps.

We have to know the relation between time, speed, and distance. The relation is denoted as,

t = s/v; t is denoted as time interval, v is denoted as velocity or speed in this case and s is denoted as displacement or distance.

We have to find the time. Here velocity is 162 mph and the total distance between  Bristol airport to Leeds Bradford airport is 216 miles.

t = 216 miles/ 162 mph = 1.33 hour = 80 minutes.

Therefore the plane left Bristol airport is, ( 18 hours 15 minutes - 80 minutes) = 16 hour 55 minutes = 16:55

To learn more about time and distance visit,

https://brainly.com/question/13269893?referrer=searchResults

#SPJ9

Answer:

7(u+2)=42

7u+14=42

-14 -14

7u=28

u=4

Carlita has $25.17 in her checking account.

A deposit account held at a bank or other financial institution is known as a transaction account.

The amount of money in her checking account = -$ 15

She earned $87.99

Now money in her checking account = -15+87.99 = $ 72.99

She paid her phone bill worth $47.82

money in her checking account = $ ( 72.99 - 47.82 ) = $25.17

Therefore she has $25.17 in her checking account.

To learn more about checking account visit:

https://brainly.com/question/20984186

#SPJ1

write an equation of the line in slope intercept format (-3,3) (0,-1)​

the equation of the line is

y=mx+b

so

step 1

Find the slope

m=(-1-3)/(0+3)

m=-4/3

step 2

Find the equation

we have

m=-4/3

b=-1 ----> is given

substitute

The graph of the first linear equation:

y = x + 3

Can be seen in the image at the end.

Let's graph the first line, which is:

y = x + 3.

To graph it, we need to find two points on the line, to find these, we can evaluate the linear equation in two values of x.

Using x = 0 we get:

y = 0 + 3

y = 3

So we have the point (0, 3).

Using x = 1, we get:

y = 1 + 3

y = 4

So we have the point (1, 4)

Now we can graph these two points on the same coordinate axis and connect them with a line. Like in the example below.

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

V'(t) = -250(1-(1/40)t)

If we know the time, we can plug in the value for "t" in the above derivative and find how much water drained for the given point of t.

Given:

V =2000( 1- (1/40)t)^2   , where 0≤t≤40.

Here we have to find the derivative with respect to "t"

We have to use the chain rule to find the derivative.

V'(t) = 2 (2000)(1- (1/40)t)d/dt(1- (1/40)t)

V'(t) = 2(2000)(1-(1/40)t(-1/40)

When we simplify the above, we get

V'(t) = -250(1-(1/40)t)

If we know the time, we can plug in the value for "t" and find how much water drained for the given point of t.

learn more about of volume here

https://brainly.com/question/14020302

#SPJ4

Answer: false

Step-by-step explanation:

Use 1/4 cup per square foot

The Solution:

Given the fractions below:

We are asked to find the sum of the above two fractions.

The Lowest Common Multiple (LCM) of 5 and 10 is 10

Thus, the correct answer is

Answer:

I think its 180

Step-by-step explanation:

The actual height of the building is 739.2 feet.

Given the height of a building estimated by Charlie is 924 feet.

His father said that there is 20% error in the estimation.

we should determine 20% of the estimated height.

⇒ height = 924 feet

⇒ error = 20%

⇒ 924 × 20/100

⇒ 924/5

= 184.8 feet

Subtract the error in height with the height given.

⇒ estimated height - error in height

⇒ 924 - 184.8

= 739.2 feet.

hence the actual height is 739.2 feet.

Learn more about Percentage here:

brainly.com/question/843074

#SPJ1

Answer:

f(-2) = -8

Step-by-step explanation:

We are given a function:

[tex]f(x)=2x-4[/tex]

We are told to find f(-2).

First, substitute -2 as x in f(x):

[tex]f(x) = 2x-4\\\\f(-2) = 2x-4[/tex]

Then, substitute -2 as x in the equation itself:

[tex]f(-2) = 2(-2) - 4[/tex]

Then, simplify by multiplying 2(-2):

[tex]f(-2) = 2(-2) - 4\\\\f(-2) = -4 - 4[/tex]

Finally, simplify by performing the final arithmetic:

[tex]f(-2) = -4 - 4\\\\f(-2) = -8[/tex]

Therefore, f(-2) = -8.

Answer:

x ≈ 3.9810717

Step-by-step explanation:

Mr musa since the servant to the market to buy orange is 15 naira the servants have eaten three oranges on the way ,mr musa a 25 cover orange more than the market price. Hence 12 be number of oranges mr musa received.

Two or more expressions with an equal sign is called as equation.

Let market price be M

(M+0.25)x=15

Oranges brought=15M

Servent ate 15M-3=x

15M=x+3

Divide both sides by 15.

M=(x+3)/15

((x+3)/15+1/4)x=15

Calculate the LCM and solve

(4x+12+15)x/60=15

Apply cross multiplication

4x²+27x=900

4x²+27x-900=0

By solving it we get x=12

Hence 12  be number of oranges mr musa received.

To learn more on Equation click:

https://brainly.com/question/10413253

#SPJ1

Answer:

Not a function

Step-by-step explanation:

It is not a function because it doesn't pass the vertical line test.

the inequality is

x> 12

all real numbers greater than 12

interval (12, infinite)

Answer:

His gain is 3.50$ which is also 50% of 7

Step-by-step explanation:

for next time so you dont gotta waste points all you have to do is go 10.50 -7.00 =3.50 and then just ask go ogle if you are able what percentage is 3.50 of 7.00 because 7.00$ is what he had to pay for so he is making a 50% gain

Answer:

w is -3

Step-by-step explanation:

A line with a perpendicular slope with have a slope that is the negative inverse of the reference line.  If the reference line is -(2/3), the perpendicular line will have a slope of (3/2).

The line formed by ab:  y = (3/2)x + b

We have one given point on line ab with one coordinate known, (3,4), so let's use it to find b:

y = (3/2)x + b

4 = (3/2)*3 + b for (3,4)

4 = (9/2) + b

b = 4 - (9/2)

b = - 0.5

The equation is y = (3/2)x - 0.5

The slope of (3/2) is equal to the Rise/Run of two points on the line:  (3,4) and (w,-5):

    Rise = (4 - (-5)) = 9

    Run = (3 - w)

Slope =  9/(3-w)

(3/2) =  9/(3-w)

(3/2)(3-w) =  9

(9/2) - (3/2)w = 9

9 - 3w = 18

-3w = 9

w = -3

Point b is (-3, -5)

See attached graph.

Answer:

its still missing

Step-by-step explanation:

U changed it for yourself, not other peoples

Answer: it will say “assigned” but it wouldn’t come up like that for your teacher. I’ve tried it before and it doesn’t work

Step-by-step explanation:

Answer:

The population after x years will be P = 29000 + 700x

Let the population after the years be represented by P

Population of the town in 2003 = 29000

Annual increase in growth = 700

Then, the population after x years will be:

P = 29000 + 700(x)

P = 29000 + 700x

Therefore, the population will be P = 29000 + 700x.

Answer: Last Digit Method: If the last digit in 6095 is 0, 2, 4, 6, or 8, then 6095 is divisible by 2. The last digit in 6095 is 5, thus 6095 is not divisible by 2.

Step-by-step explanation:

The area of the square with a side length of 13 units is 169 square units.

A square is simply a regular quadrilateral having all four sides and angles equal.

The area of a square is expressed as;

A = a²

Where a is the side length.

Given the data in the question;

To determine the area of the square, plug the given value into the area of square formula and solve for A.

A = a²

A = ( 13 )²

Area A = 169 square units.

Therefore, the area of the square is 169 square units.

Option D) is the correct answer.

Learn more about area of square here: https://brainly.com/question/27776258

#SPJ1

Answer: -27

Step-by-step explanation: -3 raised to the power of 3 is written (-3) 3 = -27. Note that in this case the answer is the same for both -3 3 and (-3) 3 however they are still calculated differently. -3 3 = -1 * 3 * 3 * 3 = (-3) 3 = -3 * -3 * -3 = -27. For 0 raised to the 0 power the answer is 1 however this is considered a definition and not an actual calculation.

The probability that at least one of the expectant mothers will have a cesarean delivery is 0.9394.

Probability is the likelihood that something will happen. Based on the information, about 33% of u.s. births are cesarean deliveries.

The number (n) is also given as 7.

p = 33% = 0.33

n! / (n – r)!

N is the number of things you are choosing from,

r is the number of items.

P(x:n,p) = ⁿCˣ x pˣ(1-p)ⁿ⁻ˣ

n is the number of trials (occurrences)

X is the number of successful trials

p is probability of success in a single trial

ⁿCₓ is the combination of n and x

Therefore, the probability will be:

= 1 - P(no mother will have a Caesarean section)

= 1 - P(X = 0)

= 1 - ⁷C₀ (0.33)^0(0.67)^7

= 1 - 0.0606

= 0.9394

Learn more about probability on:

brainly.com/question/25870256

#SPJ1