Total amount = Pe^(rt)
where
P=principal
e=2.7182818284...
r=0.035
t=3 (years)
Total amount
= 7565(e^(0.035*3)
=$ 8402.53
At the end of the third year the population of beetles will be 11,576beetles
<h3>Exponential equations</h3>
The standard form of an exponential function is given as:
y = ab^t
Given the following parameters
initial population 'a" = 10,000 beetles
Time = 3 years
rate b = 1.05
Substitute into the formula
y = 10,000(1.05)^3
y = 10,000(1.1576)
y = 11,576 beetles
Hence at the end of the third year the population of beetles will be 11,576beetles
Learn more on exponential function here: brainly.com/question/12940982
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Answer:
option C is correct
Step-by-step explanation:
Please refer to the attachment
This is how you write 5.24 in expanded form 5+0.2+0.04
We have been given that a customer charges a treadmill at Annie's Sport Shop. The price is $4,000 and the financing charge is 6% per annum if the bill is not paid in 30 days. We asked to find the amount of finance charges.
We will use simple interest formula to solve our given problem.
, where
I = Amount of interest,
P = Principal amount,
r = Annual interest rate in decimal form,
t = Time in years.

Since our time if given in days, so we need to convert 30 days into year.
1 year = 365 days,
30 days =
year
Upon substituting our given values in simple interest formula, we will get:



Upon rounding to nearest whole number, we will get:

Therefore, the amount of finance charge will be $20 and option 'b' is the correct choice.