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sp2606 [1]
3 years ago
12

Sienna decides to buy a car. She has enough money saved up for the down payment on the car. The total cost of the car including

taxes is $4800. She pays $500 down and then agrees to pay the balance over the next two years in 24 equal payments.
Sienna works part time at a bookstore and is paid $12 for each hour she works. Her employer has agreed to let her work extra hours each month over the next two years to earn the additional money she will need for her car payment each month.

What is the approximate number of additional hours per month Sienna will have to work over the next two years in order to earn enough extra money to cover her monthly car payment?
A
180 hours per month

B
179.17 hours per month

C
15 hours per month

D
14.93 hours per month
Mathematics
1 answer:
MAVERICK [17]3 years ago
4 0
The answer will be B 179.17 cuz she will have a lot of money by the time 2 years will be up to pay 24 equal payments
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Please help me in this questions....​
Ivahew [28]

Part (i)

I'm going to use the notation T(n) instead of T_n

To find the first term, we plug in n = 1

T(n) = 2 - 3n

T(1) = 2 - 3(1)

T(1) = -1

The first term is -1

Repeat for n = 2 to find the second term

T(n) = 2 - 3n

T(2) = 2 - 3(2)

T(2) = -4

The second term is -4

<h3>Answers: -1, -4</h3>

==============================================

Part (ii)

Plug in T(n) = -61 and solve for n

T(n) = 2 - 3n

-61 = 2 - 3n

-61-2 = -3n

-63 = -3n

-3n = -63

n = -63/(-3)

n = 21

Note that plugging in n = 21 leads to T(21) = -61, similar to how we computed the items back in part (i).

<h3>Answer:  21st term</h3>

===============================================

Part (iii)

We're given that T(n) = 2 - 3n

Let's compute T(2n). We do so by replacing every copy of n with 2n like so

T(n) = 2 - 3n

T(2n) = 2 - 3(2n)

T(2n) = 2 - 6n

Now subtract T(2n) from T(n)

T(n) - T(2n) = (2-3n) - (2-6n)

T(n) - T(2n) = 2-3n - 2+6n

T(n) - T(2n) = 3n

Then set this equal to 24 and solve for n

T(n) - T(2n) = 24

3n = 24

n = 24/3

n = 8

This means 2n = 2*8 = 16. So subtracting T(8) - T(16) will get us 24.

<h3>Answer: 8</h3>
4 0
3 years ago
Please help me I’ll mark you brainlyest.
Alenkasestr [34]

Answer:

10 and 7

Step-by-step explanation:

I hope this helps you out with your question! Can you plz consider marking me brainliest and thanks! Plz tell me how the answer was! It feel nice to be appreciated! Comment /free for a giveaway entry of 20 thanks and 2 brainliest. Have an awesome day! Let me know if you have any questions!

                                                               -KaraYeaton18

7 0
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Rose writes down all of her math quiz scores. Her math scores are 98,78,84, and 96. What is the mean of her math quiz scores?
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Answer:

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Step-by-step explanation:

Hi, there to find the mean

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Step-by-step explanation:

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Answer:

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