Your allowance of $190 got 11% compounded monthly for 1 2/3 years. What’s it worth after the 1 and 2/3 years?
Answer:
$228.036
Step-by-step explanation:
p = $190
r = 11% or 0.11
n = 12
t = \(1\frac{2}{3}\) years or \(\frac{5}{3}\) years
Compound interest formula is :
\(A=p(1+\frac{r}{n} )^{nt}\)
Putting the values in formula we get;
\(A=190(1+\frac{0.11}{12} )^{20}\)
\(A=190(1.009166)^{20}\)
= $228.036
The compound interest of allowance $190 got 11% compound monthly for 1 2/3 years is $228.036.
The allowance of $190 got 11% compounded monthly for 1 2/3 years.
p = $190
r = 11% or 0.11
n = 12
t = 1 2/3
Compound interest is the addition of the interest on the principal and compound interest at regular intervals.
Also, the formula of compound interest is as follows
CI = \(\rm P \times (1 + r/n)^{nt}\)
Here, CI = \(\rm P \times (1 + r/n)^{nt}\)
CI = 190 \((1 + \frac{0.11}{12})^{20}\)
= \(190( 1 + 0.009166)^{20}\)
= 190(1.009166)
= 228.036
Therefore, the compound interest of allowance $190 got 11% compound monthly for 1 2/3 years is $228.036.
Learn about Compound interest here;
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