Mendozarezzarhaineidn
Answered

IDNStudy.com, kung saan ang iyong mga tanong ay natutugunan ng mga eksperto. Magtanong ng anumang bagay at makatanggap ng detalyadong sagot mula sa aming komunidad ng mga eksperto.

what is the principal amount of the interest rate is 3.5% a year and the amount of interest is 183.75 for 21 months?

(pls need ko na talaga)​

Sagot :

JuliaSlodavaidn

[tex]\large\underline{\rm\color {black}{PROBLEM}:}[/tex]

  • What is the principal amount of the interest rate is 3.5% a year and the amount of interest is 183.75 for 21 months?

[tex]\tt\color{maroon}{===========================================}[/tex]

[tex]\large\underline{\rm\color {black}{ANSWER}:}[/tex]

  • [tex]\small\underline\bold\color {white}{P \: = \: 89.223653}[/tex]

[tex]\tt\color{maroon}{===========================================}[/tex]

[tex]\sf\underline\color {black}{GIVEN:}[/tex]

  • [tex]\small\underline\bold\color {white}{r \: = \: 3.5\% \: = \: 0.035}[/tex]

  • [tex]\small\underline\bold\color {white}{k \: = \: 1}[/tex]

  • [tex]\small\underline\bold\color {white}{f \: = \: 183.75}[/tex]

  • [tex]\small\underline\bold\color {white}{t \: = \: 21}[/tex]

[tex]\tt\color{maroon}{===========================================}[/tex]

[tex]\sf\underline\color {black}{FORMULA:}[/tex]

  • [tex]P \: = \: \frac{F}{(1 \: + \: \frac{r}{k}) {}^{kt} } \\ [/tex]

[tex]\tt\color{maroon}{===========================================}[/tex]

[tex]\large\underline{\rm\color {black}{SOLUTION}:}[/tex]

  • [tex]P \: = \: \frac{183.75}{(1 \: + \: \frac{0.035}{1}) {}^{1(21)} } \\ [/tex]

  • [tex]P \: = \:89.223653[/tex]

⟹ Hence, the principal amount is 89.223653.

[tex]\tt\color{maroon}{===========================================}[/tex]

[tex]\tiny\color{darkorange} {{\tt{CarryOnLearning:)}}}[/tex]