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MakcuM [25]
3 years ago
5

Heather paid $2,022.30 for a computer. If the price paid includes a 7% sales tax, which if the following equation can be used to

determine the price of the computer after tax?
(Let x represent the cost of the computer and y represent the total cost after tax.)

Mathematics
2 answers:
Yuliya22 [10]3 years ago
4 0

Answer:

D)y=1.07x

Step-by-step explanation:

The Total cost, price plus taxes, will given by

1) Dividing the tax 7 by 100, and write it in its decimal form:

\frac{7}{100}=0.07

2) Add the number 1, and make it a constant

0.07+1=1.07 \Rightarrow y=1.07x

This function fits to calculate the total cost after a 7% tax. In this case just plug $2,022.30 for x, then solve for y to have the total cost.

y=1.07(2,022.30)=\$2,163.86

andrey2020 [161]3 years ago
3 0

Answer:

B

Step-by-step explanation:

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Mohamed decided to track the number of leaves on the tree in his backyard each year The first year there were 500 leaves Each ye
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Answer:

The required recursive formula is

f(n)= 500\times(1.4)^{n-1}\\

Step-by-step explanation:

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Year \: 1 = 500

Each year thereafter the number of leaves was 40% more than the year before so that means

Year \: 2 = 500(1+0.40) = 500\times 1.4\\

For the third year the number of leaves increase 40% than the year before so that means

Year \: 3 = 500\times 1.4(1+0.40) = 500 \times 1.4^{2}\\

Similarly for fourth year,

Year \: 4 = 500\times 1.4^{2}(1+0.40) = 500\times 1.4^{3}\\

So we can clearly see the pattern here

Let f(n) be the number of leaves on the tree in Mohameds back yard in the nth year since he started tracking it then general recursive formula is

f(n)= 500\times(1.4)^{n-1}\\

This is the required recursive formula to find the number of leaves for the nth year.

Bonus:

Lets find out the number of leaves in the 10th year,

f(10)= 500\times(1.4)^{10-1}\\\\f(10)= 500\times(1.4)^{9}\\\\f(10)= 500\times20.66\\\\f(10)= 10330

So there will be 10330 leaves in the 10th year.

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