(a) If $2,300 is borrowed at 7.5% interest, find the amounts due at the end of 4 years if the interest is compounded as follows. (Round your answers to the nearest cent.) (i) annually (ii) quarterly $ (iii) monthly

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Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
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(a) If $2,300 is borrowed at 7.5% interest, find the amounts due at the end of 4 years if the interest is compounded as follows. (Round your answers to the nearest cent.)
(i) annually
$
(ii) quarterly
(iii) monthly
(iv) weekly
$
(v) daily
$
(vi) hourly
(vii) continuously
(b) Suppose $2,300 is borrowed and the interest is compounded continuously. If A(t) is the amount due after t years, where 0 < t < 4, graph A(t) for each of the interest rates 6%, 8%, and 10% on
a common screen.
y
y
y
3200
3200
3200
10%
6%
10%
3000
3000
3000
8%
8%
6%
2800
2800
2800
6%
10%
8%
2600
2600
2600
2400
2400
2400
Transcribed Image Text:(a) If $2,300 is borrowed at 7.5% interest, find the amounts due at the end of 4 years if the interest is compounded as follows. (Round your answers to the nearest cent.) (i) annually $ (ii) quarterly (iii) monthly (iv) weekly $ (v) daily $ (vi) hourly (vii) continuously (b) Suppose $2,300 is borrowed and the interest is compounded continuously. If A(t) is the amount due after t years, where 0 < t < 4, graph A(t) for each of the interest rates 6%, 8%, and 10% on a common screen. y y y 3200 3200 3200 10% 6% 10% 3000 3000 3000 8% 8% 6% 2800 2800 2800 6% 10% 8% 2600 2600 2600 2400 2400 2400
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