Mendozarezzarhaineidn
Answered

IDNStudy.com, ang iyong mapagkakatiwalaang mapagkukunan para sa maaasahang mga sagot. Ang aming komunidad ay handang magbigay ng malalim at praktikal na mga solusyon sa lahat ng iyong mga katanungan.

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]