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notsponge [240]
3 years ago
14

Maria invested $2,000 in an account that earns 4.5% interest compounded annually the formula for compounded interest isA(t)=P(1+

i)/\t. How much did Maria have in the account after 5 years. A.12,816.47 B.10,450.00 C.2,450.00 D.2,492.36
Mathematics
1 answer:
ankoles [38]3 years ago
4 0
In the formula, P is the initial amount, i is the rate, and t is the time that has passed.  Simply plug in the values you know:

A(5) = 2000(1 + .045)^5 \\  \\ A(5) = 2000(1 .045)^5 \\  \\ A(5) = 2492.36387531 \\  \\ A(5) \approx 2492.36

Rounded to the nearest cent, Maria had $2492.36 in her account after 5 years (D).
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Allan borrows 1870 dollars from his uncle. Two years later, he borrows another 1240 dollars. If his uncle charges him 8 percent
Anna11 [10]
For t=0
<span>Allan borrows--------------------------- > 1870 dollars

for t=6 years
</span>F1 = P*(1 +(r/m))^n
i=r/m
n=m*t---------- >1*6=6
we have
P1=1870
r=8%
m=1
t=6 years
F1 = 1870*(1 +(0.08/1))^6------------------ >2967.45 dollars

for t=2
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for t=6 years
F2 = P2*(1 +(r/m))^n
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n=m*t---------- >1*4=4
we have
P2=1240
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m=1
t=4 years------------> (6-2)=4 years
F2 = 1240*(1 +(0.08/1))^4------------------ >1687 dollars

F1+F2=2967.45+1687=4654.45 dollars
the answer is 4654.45 dollars


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MNOP is similar to QRST with ratio of 5:4<span>. That means the MP:QT ratio would also be 5:4

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