<h3>
Answer: Choice B) 122%</h3>
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Work Shown:
A = 1250 is the initial amount
B = 2780 is the new amount
C = percent change = unknown for now
The formula to use is
C = [ (B-A)/A ] * 100
to calculate the percent change.
Basically we calculate the change (B-A) first and then divide that over the original amount A to compute the decimal form of the answer, which is then converted over to percentage form. The "100" tacked on at the end is what converts from decimal to percent form.
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C = [ (B-A)/A ] * 100
C = [ (2780 - 1250)/1250 ] * 100
C = (1530/1250)*100
C = 1.224 * 100
C = 122.4%
C = 122%
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The positive C value indicates we have a percent increase. If C were negative, then we'd have a percent decrease.
The amount needed such that when it comes time for retirement is $2,296,305. This problem solved using the future value of an annuity formula by calculating the sum of a series payment through a specific amount of time. The formula of the future value of an annuity is FV = C*(((1+i)^n - 1)/i), where FV is the future value, C is the payment for each period, n is the period of time, and i is the interest rate. The interest rate used in the calculation is 4.1%/12 and the period of time used in the calculation is 30*12 because the basis of the return is a monthly payment.
FV = $3,250*(((1+(4.1%/12)^(30*12)-1)/(4.1%/12))
If that helps, but I'm pretty sure the answer is -1 that is what I have found in Google that is what all the answers are that in finding.
Answer:
$52.03
Step-by-step explanation:
1. Approach
To solve this problem, first one needs to calculate the sales tax, then one must add that to the amount spent on the purchase. To calculate sales tax, one must convert the percent to decimal form, this can be done by dividing the percent by 100. Then one will multiply the decimal by the amount spent.
2. Find the tax
As states above; to calculate sales tax, one must convert the percent to decimal form, this can be done by dividing the percent by 100. Then one will multiply the decimal by the amount spent.
<u>a. convert percent to decimal</u>
8.4 / 100 = 0.084
<u>b. multiply the decimal by the amount spent</u>
48 * 0.084 = 4.032
The amount spent on sales tax is, $4.032
3. Find the total amount spent
Now all one has to do is add the amount spent in tax by the amount spent on the purchase.
48 + 4.032 = 52.032
Since money is only spent rounded to the second decimal point, one has to round the number;
52.03
Answer:
I think it is option 4, because it has the same scale. The height is 3 times as much as the radius.
