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Marizza181 [45]
3 years ago
7

Last month, Carter earned $165 for his after-school job. If he was paid $8.25 per hour, how many hours did Carter work?

Mathematics
2 answers:
azamat3 years ago
6 0

Answer:

20

Step-by-step explanation:

165 divided by 8.25 is 20.

densk [106]3 years ago
6 0

Answer:

20 hrs

Step-by-step explanation:

Just divide $165 by $8.25

Hope this helps!

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Installment Buying TV Town sells a big screen smart HDTV for $600 down and monthly payments of $30 for the next 3 years. If the
VikaD [51]

Answer:

(a). $1465.42

(b). $214.58

Step-by-step explanation:

We have been given that installment Buying TV Town sells a big screen smart HDTV for $600 down and monthly payments of $30 for the next 3 years. The interest rate is 1.25% per month on the unpaid balance.

(a) To find the cost of the TV, we will use monthly payment formula.

R=\frac{Pi}{1-(1+i)^{-n}}, where,

R = Periodic payment,

P = Loan amount,

i = Monthly interest rate in decimal form,

n = Number of total payments.

n=3\times 12=36

1.25\%=\frac{1.25}{100}=0.0125

30=\frac{P*0.0125}{1-(1+0.0125)^{-36}}

30=\frac{0.0125P}{1-(1.0125)^{-36}}

30=\frac{0.0125P}{1-0.6394091578134724264}

30=\frac{0.0125P}{0.3605908421865275736}

10.817725265595827208=0.0125P

0.0125P=10.817725265595827208

P=\frac{10.817725265595827208}{0.0125}

P=865.41802124766617664

P\approx 865.42

We know that total cost of TV would be equal to down payment plus amount of loan that is:

865.42+600=1465.42

Therefore, the total cost of the TV would be $1465.42.

(b). First of all, we need to find total amount paid in 3 years by multiplying amount of each monthly payment by 36 (3 years equal to 36 months).

\$30\times 36=\$1080

To find the total amount of interest paid, we will subtract amount of loan from total payment.

\$1080-\$865.42=\$214.58

Therefore, the total amount paid in interest would be $214.58.

8 0
3 years ago
Sub 2 my channel: Siah Fiah
Nataly_w [17]

Answer:

no

Step-by-step explanation:

From left to right, follow the dots in line 1 with your finger. Count a steady beat out loud, and time your motion so your finger crosses a dot at the end of each beat. Don’t pause at the dots, and move as smoothly as you can. A good way to count is to say or think “1 Mississippi, 2 Mississippi,” and so on. Is your finger moving at a constant rate, or is the rate changing?

7 0
2 years ago
Read 2 more answers
write an equation of the line containing the specified point and perpendicular to indicated line. (-5,6) 4x-y=3
Radda [10]
<h2>Greetings!</h2>

Answer:

y = \frac{1}{2}x + \frac{29}{4}

Step-by-step explanation:

First, we need to rearrange the equation to make it y = mx + c

4x - y = 3

y + 3 = 4x

y = 4x -3

So the slope of the line is 4.

The slope of a line perpendicular to an equation is:

\frac{-1}{gradient}

So the slope of the perpendicular line is:

\frac{-1}{4} = -0.25

Now to find the equation of a line you can use the following equation:

y - y₁ = m(x - x₁)

Where y₁ is the y-coordinate, x₁ is the x-coordinate and m is the gradient. Plug the values in:

y₁ = 6

x₁ = -5

m = \frac{-1}{4}

y - 6 = \frac{-1}{4}(x - - 5)

To get rid of the fraction we need to multiply the whole equation by 4:

4y - 24 = -1(x - - 5)

The two negatives cancel out:

4y - 24 = -1(x + 5)

Multiply the brackets out:

4y - 24 = -x + 5

Now, to rearrange the formula back into y = mx + c

Move the -24 over to the other side making it a +24:

4y = 2x + 5 + 24

4y = 2x + 29

Divide everything by 4:

y = \frac{2}{4}x + \frac{29}{4}

y = \frac{1}{2}x + \frac{29}{4}


<h2>Hope this helps!</h2>
8 0
3 years ago
A curve has the slope 2x+3 at each point (x,y) on the curve. What is an equation for this curve if it passes through the point (
yawa3891 [41]
Therefore, f(x) = 2x + 3 is your derivative function, and you need to find the original curve. So find the antiderivative using the given conditions... 

∫f(x) = ∫2x + 3 dx 
F(x) = x^2 + 3x + C 
2 = (1)^2 + 3(1) + C 
2 = 4 + C 
C= -2 

Therefore, the curve is F(x) = x^2 + 3x - 2 

Proof: The derivative is the slope at every (x, y) point. The derivative of F(x) comes out to be 2x + 3, so we have found the curve. Plug in x = 1, and y = 2, so the conditions have been met. 

<span>Hope I helped.</span>
5 0
3 years ago
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. What is the volume of t
katen-ka-za [31]

Answer/Step-by-step explanation:

Volume = L*W*H

L = 10.4

W = 5

H = 8

10.4* 5 = 52

L*W = 52

52* 8 = 416

L*W*H = 416

Therefore,

ANSWER: 416

if needed in volume form 416^3

3 0
3 years ago
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