Answer:
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Step-by-step explanation:
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Answer:
The sum is 493.4
Step-by-step explanation:
In order to find the value of the sum, you have to apply the geometric series formula, which is:

where i is the starting point, n is the number of terms, a is the first term and r is the common ratio.
The finite geometric series converges to the expression in the right side of the equation. Therefore, you don't need to calculate all the terms. You can use the expression directly.
In this case:
a=40
b= 1.005
n=12 (because the first term is 40 and the last term is 40(1.005)^11 )
Replacing in the formula:

Solving it:
The sum is 493.4
Answer:
The answer is 675.75 square Inches
Step-by-step explanation:
<h3><u>Given</u>;</h3>
<h3>
<u>To </u><u>Find</u>;</h3>
<h3>
<u>Formula</u>;</h3>
Now,
Radius (r) = diameter ÷ 2
r = 14/2 in.
r = 7 in.
Now,
A = 4πr²
A = 4 × 22/7 × (7)² in.
A = 4 × 22 × 7 in.
A = 615.75 square in.
Thus, The area of the beach ball with a diameter of 14 in. is 615.75 square in.
Answer:
11 years.
Step-by-step explanation:
Given that Carter invested $ 16,000 in an account paying an interest rate of 5.6% compounded monthly, to determine, assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $ 29,600, the following calculation must be performed:
16,000 x (1 + 0.056 / 12) ^ Yx12 = 29,600
Y = 11
16,000 x 1.4666 ^ 132 = X
29,581.70 = X
Thus, rounded to the nearest year, it would take 11 years for the account to reach $ 29,600.