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isaiahcannon5709
24.11.2019 •
Mathematics
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Ответ:
To begin, we know that the formula for annual compound interest, including principal sum, is: A = P (1 + r/n)^(nt)
Where:
A = the future value of the investment/loan, including interest
P = the principal investment amount (the initial deposit or loan amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per year
t = the number of years the money is invested or borrowed for
So plugging in the information you have we get this equation:
1000 = P (1 + 0.06/2)^(2)(5)
then the rest is basic math. *make sure to always follow PEMDAS*
divide then add what is in the paranthesis: (0.06/2)+1 = 1.03
then multiply 2*10 to get the exponent to 10
1000=P(1.03)^10
next step we raise 1.03 to the 10th power
1000=P(1.3439)
Last but not least, to isolate the principal, we divide 1.3439 to the other side.
1000/1.3439
since we are finding a dollar amount, round to the hundredths place
The answer is D. $744.09
hope this helps! :)
Ответ:
A = final amount, P= initial amount, i%, the YEARLY interest and n= # years or the PERIOD.
If the interest is reckoned twice a year (every 6 months), then the yearly interest should be divided by 2, but at the same time the period (no longer 1 year) is to be multiplied by 2:
Then A = P(1 + I%/period)^(n x period)
1000 = P(1 + 6%/2)⁵ˣ²
1000 = P(1+3%)¹⁰
1000 = P(1.03.)¹⁰
1000 = P(1.343916) and P = 1000/1.343916
P = $744.09
Ответ:
1- 40 pennies
2- 4 dimes
Step-by-step explanation:
one penny is one cent => 40 pennies is 40 cents
one dime is 10 cents => 4 dimes is 40 cents