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lucypackham9
02.02.2020 •
Mathematics
Jill starts to save at age 25 for a vacation home that she wants to buy for her 50th birthday. she will contribute $2500 each year to an account, which earns 1.3% annual interest, compounded quarterly. what is the future value of this investment, rounded to the nearest dollar, when jill is ready to purchase the vacation home?
a. $73,712
b. $73,951
c. $294,847
d. $295,806
Solved
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Ответ:
r=1.013^.25
F=2500(1-(1.013^.25)^n)/(1-1.013^.25)
F=2500(1-(1.013^.25^100))/(1-1.013^.25)
F=294606.19
So the answer is C. $294847, (they must have done intermediate rounding which leads to the slight discrepancy)
Ответ:
Step-by-step explanation:
First term = a =4
Common difference = d = 2nd term - first term
d = 8 - 4 = 4
Last term = l = 400
First we have to fin the number of terms 'n'
l = a + (n-1)d
4 + (n-1)*4 = 400
4 + 4n- 4 = 400
4n = 400 {Divide both sides by 4}
n = 400/4
n = 100