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3 years ago

15

Bob wants to attend a four-year college that has an annual tuition of $10,100. Bob has saved $11,300 for college. Bob is going t

o use a student loan to pay for the rest. How much does he need to borrow?

1 answer:

Alinara [238K]3 years ago

5 0

Answer:

29,100

Step-by-step Explanation

Multiply the annual tuition by 4. then subtract that by what he saved

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SOLUTION

We have been given the equation of the decay as

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So we are looking for the time

Plugging the values into the equation, we have

$\begin{gathered} N=N_0e^{-kt} \\ 0.65N_0=N_0e^{-0.0001t} \\ e^{-0.0001t}=\frac{0.65N_0}{N_0} \\ e^{-0.0001t}=0.65 \end{gathered}$

Taking Ln of both sides, we have

$\begin{gathered} ln(e^{-0.000t})=ln(0.65) \\ -0.0001t=ln(0.65) \\ t=\frac{ln(0.65)}{-0.0001} \\ t=4307.82916 \end{gathered}$

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