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Bess [88]
2 years ago
10

Find the present value of a loan with a maturity value of $15,000 for 9 months at 6%.

Mathematics
1 answer:
masya89 [10]2 years ago
6 0

Present value of the loan amount is $27 with a maturity value of $15000 for 9 months at 6%

How to find the present value of loan amount ?

We know that

Maturity value of loan amount = 15000

Time period is =9 months

Rate (r)=6 %

Present value of loan amount=?

So we can use the formula of maturity level

MV=PV*(1+r*t)

Substitute the values

15000=PV *(1+6*9)\\15000=PV(55)\\\frac{15000}{55} =PV\\27.27=PV

So present value of the loan amount is $27 in round figure.

Learn more about the maturity level and loan here:

brainly.com/question/28048713

#SPJ4

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Write an expression for the 12th partial sum of the series 3/2+7/3+19/6+... using summation notation
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Answer:

S_{12}=\sum_{i=1}^{12} [\frac{3}{2}+(i-1)\times \frac{5}{6}]

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Step-by-step explanation:

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a_1=\frac{3}{2}+0\times \frac{5}{6}\\\\a_2=\frac{3}{2}+1\times \frac{5}{6}\\\\a_3=\frac{3}{2}+2\times \frac{5}{6}\\\\.\\.\\.\\a_n=\frac{3}{2}+(n-1)\times \frac{5}{6}\\\\S_n=a_1+a_2+a_3+......+a_n\\\\S_n=(\frac{3}{2}+0\times \frac{5}{6})+(\frac{3}{2}+1\times \frac{5}{6})+(\frac{3}{2}+2\times \frac{5}{6})+....+(\frac{3}{2}+[n-1]\times \frac{5}{6})\\\\S_n=\sum_{i=1}^n [\frac{3}{2}+(i-1)\times \frac{5}{6}]\\\\S_n=(\frac{3}{2}+\frac{3}{2}+\frac{3}{2}+...n\ times)+\frac{5}{6}(1+2+3+4+...+(n-1))\\\\

S_n=\frac{3}{2}\times n+\frac{5}{6}\times \frac{n(n-1)}{2}\\\\

S_{12}=\sum_{i=1}^{12} [\frac{3}{2}+(i-1)\times \frac{5}{6}]

S_{12}=\frac{3}{2}\times 12+\frac{5}{6}\times \frac{(12)(12-1)}{2}\\\\S_{12}=18+55\\\\S_{12}=73

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