Answer: the value of the account after 10 years is $2606
Step-by-step explanation:
The formula for continuously compounded interest is
A = P x e (r x t)
Where
A represents the future value of the investment after t years.
P represents the present value or initial amount invested
r represents the interest rate
t represents the time in years for which the investment was made.
e is the mathematical constant approximated as 2.7183.
From the information given,
P = 1800
r = 3.7% = 3.7/100 = 0.037
t = 10 years
Therefore,
A = 1800 x 2.7183^(0.037 x 10)
A = 1800 x 2.7183^(0.37)
A = $2606 to the nearest dollar
We find that the function that could be a stretch of the <em>exponential</em> decay is 
. (Correct choice: C)
<h3>What function represents a stretch of a exponential decay function?</h3>
<em>Exponential</em> functions are <em>trascedent</em> functions whose form is described below:
(1)
Where:
- a - Stretch factor
- r - Growth rate
There are two conditions for a <em>stretch</em> factor and <em>exponential</em> decay: (i) a > 1, (ii) 0 < r < 1. Thus, we find that the function that could be a stretch of the <em>exponential</em> decay is . (Correct choice: C)
<h3>Remark</h3>
The picture is missing and it cannot be found, but statement is still solvable as there is only one choice that responds the question.
To learn more on exponential functions: brainly.com/question/11487261
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Answer:
i think is 167
Step-by-step explanation:
We are tasked to solve for the lateral area of a right circular cone given that the base diameter measurement is 4 meters and the slant height measurement is 15 meters. To solve this problem, we need to use the formula below:
Lateral Area = pi*r (√h²+r²)
where r is half of the diameter measurement such as:
radius = r = diameter / 2
r = 4/2
r = 2 meters
Solving for the lateral area, we have it:
Lateral Area = 3.14*2 (√15²+2²)
Lateral Area = 94 m²
The answer is the letter "C".
