ATC The Initial Deposit or Principal Amount of The Annual Growth Rate Question

3121/22, 8:35 PMSection 6.1 Exponential Functions – Math 1111_2022_SPR_HYB and ONL, section CRN 42360 Page, Spring 2022 | WebA.,
1
For the following exercise, use the compound interest formula, A(t) = P(1 +
, where money is measured in dollars.
n
) (3)”.
After a certain number of years, the value of an investment account is represented by the expression 10,300( 1 + 0:05) “20.
,
What was the initial deposit made to the account?
12
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• Compound Interest
Evaluate the function. (Round your answer to four decimal places.)
f(x
AX) = -2(3)+* +
9
2
for f(2)
f(2)
=
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.
• eBook
Example Video
The fox population in a certain region has an annual growth rate of 7% per year. In the year 2012, there were 23,800 foxes
counted in the area. What is the fox population predicted to be in the year 2020? (Round your answer to the nearest whole
number.)
foxes
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eBook
Exponential Growth Function
In the year 1985, a house was valued at $110,000. By the year 2005, the value had appreciated exponentially to $160,000.
What was the annual growth rate between 1985 and 2005? (Round your answer to two decimal places.)
%
Assume that the value continued to grow by the same percentage. What was the value of the house in the year 2010? (Round
your answer to the nearest dollar.)
$
1
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eBook
Exponential Growth Function
8:35 PM
Section 6.1 Exponential Functions – Math 1111_2022_SPR_HYB and ONL, section CRN 42360 Page, Spring 2022 | WebAssign
Rochelle deposits $5,000 in an IRA. What will be the value in dollars) of her investment in 25 years if the investment is earning
7% per year and is compounded continuously? (Simplify your answer completely. Round your answer to the nearest cent.)
$ t
The graph shown represents the number of bacteria in a dish after a certain number of minutes. It is a function in the form
f(x) = a.04.
AxNumber of
bacteria
81
6t
(3, 4)
2)
(1.1)
2 3 4 5
Time (minutes)
How many bacteria are in the dish after 9.3 minutes? (Round your answer to the nearest whole number.)
bacteria Tutorial
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Solve the equation. (Enter your answers as a comma-separated list.)
gx + 7 = 81
=
X =
t
Solve for x.
100% = 10,000
Tutorial
X =
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3/21/22, 8:35 PM
Section 6.1 Exponential Functions – Math 1111_2022_SPR_HYB and ONL, section CRN 42360 Page, Spring 2022 | WebAssign
Solve the equation. (Enter your answers as a comma-separated list.)
e3x.e? = e16
=
x =
1+
Edgar accumulated $6,000 in credit card debt. If the interest rate is 30% per year, and he does not make any payments for 3 years,
how much will he owe (in dollars) on this debt in 3 years by each method of compounding? (Simplify your answers completely.
Round your answers to the nearest cent.)
(a) compound quarterly
(b) compound monthly
$
(c) compound continuously
$
1+
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