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Alenkinab [10]
3 years ago
11

Dylan wants to buy a new guitar. He borrows the money he needs and pays an equal amount back for 11 months. The interest is $3 e

ach month. How much money will he pay in interest?
Mathematics
1 answer:
lukranit [14]3 years ago
8 0

Answer:

Total interest paid= $33

Step-by-step explanation:

Giving the following information:

Number of periods= 11 months

Interest per month= $3

<u>To calculate the total amount of interest paid, we need to use the following formula:</u>

<u></u>

Total interest paid= number of periods*interest per period

Total interest paid= 11*3

Total interest paid= $33

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Answer:

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Step-by-step explanation:

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So,

R(x)= ∫u\ln(u)\,du

Use integration by parts: ∫f g dx = f∫ g dx-∫(∫g dx)f' dx

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R(x)=  \frac{u^2}{2}\ln(u) -  ∫\frac{u^2}{2}\frac{1}{u}\,du

=  \frac{u^2}{2}\ln(u) -  ∫\frac{u}{2}\,du

Put u=x+1

R(x)=   \frac{(x+1)^2}{2}\ln(x+1)-\frac{(x+1)^2}{4}

To find total revenue from the sale of the first 12 calculators, put x=12

R(x)=   \frac{(12+1)^2}{2}\ln(12+1)-\frac{(12+1)^2}{4}\\\\= \frac{(13)^2}{2}\ln(13)-\frac{(13)^2}{4}\\\\=\frac{169}{2}\ln(13)-\frac{169}{4}

Total revenue = \frac{169}{2}\ln(13)-\frac{169}{4}  dollars

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