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Crazy boy [7]
3 years ago
11

Your family plans to start a small business in your neighborhood. Your father borrows $10,000 from the bank at an annual interes

t rate of 8% rate for 36 months. What is the amount of interest he will pay on this loan? (use Interest = Principal × Rate × Time)
Mathematics
1 answer:
valkas [14]3 years ago
8 0

Answer:

$2400

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 8%/100 = 0.08 per year,

putting time into years for simplicity,

36 months ÷ 12 months/year = 3 years,

then, solving our equation

I = 10000 × 0.08 × 3 = 2400

I = $ 2,400.00

The simple interest accumulated

on a principal of $ 10,000.00

at a rate of 8% per year

for 3 years (36 months) is $ 2,400.00.

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Exponential growth/decay problem 1
RUDIKE [14]

Answer:

a) growth

b) $500

c) 6% = 0.06

d) f(x)=500(1.06)^x

e) $595.51

Step-by-step explanation:

<u />

<u>Part (a)</u>

Exponential GROWTH, since interest is applied to the account each year.

<u>Part (b)</u>

Initial amount = $500

<u>Part (c)</u>

Growth factor = 6% = 0.06 (in decimal form)

<u>Part (d)</u>

General form of exponential growth function:

f(x)=a(1+r)^x

where:

  • a = initial amount
  • r = rate of growth (in decimal form)
  • x = time (in years)

Given:

  • a = 500
  • r = 0.06

\implies f(x)=500(1+0.06)^x

\implies f(x)=500(1.06)^x

<u>Part (e)</u>

when x = 3

\begin{aligned}\implies f(3) & =500(1.06)^3\\ & = 595.51\: \sf(nearest\:hundredth)\end{aligned}

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