Answered

Maligayang pagdating sa Imhr.ca, kung saan maaari kang makakuha ng mga sagot mula sa mga eksperto nang mabilis at tumpak. Sumali sa aming platform upang kumonekta sa mga eksperto na handang magbigay ng eksaktong sagot sa iyong mga tanong sa iba't ibang larangan. Tuklasin ang malalim na mga sagot sa iyong mga tanong mula sa isang malawak na network ng mga eksperto sa aming madaling gamitin na Q&A platform.

A savings account in a bank yields 0.25% compound interest annually. If you deposited Php 25,000.00 for 4 years, compute for the following: (a) The future value of the money invested. Answer (b) The interest paid to you by the bank. Answer

Sagot :

UK2019

✏️INTEREST

[tex]\red{••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\underline{\mathbb{PROBLEMS:}}[/tex]

- A savings account in a bank yields 0.25% compound interest annually. If you deposited Php 25,000.00 for 4 years, compute for the following:

  • a. The future value of the money invested.
  • b. The interest paid to you by the bank.

[tex]\red{••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\underline{\mathbb{ANSWERS:}}[/tex]

[tex]\qquad\LARGE\rm»\:\: a. \: \green{Php. \: 25\text,250}[/tex]

[tex]\qquad\LARGE\rm»\:\: b. \: \green{Php. \: 250}[/tex]

[tex]\red{••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\underline{\mathbb{SOLUTIONS:}}[/tex]

- Determine what are the given.

  • [tex]P=25\text,000[/tex]
  • [tex]r = 0.25\% = 0.0025[/tex]
  • [tex]t = 4[/tex]
  • [tex]n = 1[/tex]
  • [tex]FV = \:? [/tex]

a. What is the future value of the money invested?

- We can use the Compound Interest Formula to find the future value of the money invested in the bank.

[tex] \begin{aligned}& \bold{ \color{lightblue}Formula:} \\& \boxed{A = P \bigg(1 + \frac{r}{n} \bigg)^{nt} } \end{aligned}[/tex]

  • [tex] \begin{aligned}{A = 25\text,000 \bigg(1 + \frac{0.0025}{1} \bigg)^{(1)(4)} } \end{aligned}[/tex]

  • [tex] \begin{aligned}{A = 25\text,000 \bigg(1 + \frac{0.0025}{1} \bigg)^{4} } \end{aligned}[/tex]

  • [tex] \begin{aligned}{A = 25\text,000 \big(1 + 0.0025 \big)^{4} } \end{aligned}[/tex]

  • [tex] \begin{aligned}{A = 25\text,000 \big(1.0025 \big)^{4} } \end{aligned}[/tex]

  • [tex] \begin{aligned}{A = 25\text,000 \big(1.01 \big) } \end{aligned}[/tex]

  • [tex] \begin{aligned}{A = 25\text,250} \end{aligned}[/tex]

[tex]\therefore[/tex] Php. 25,250.00 is the future value of the money invested.

[tex]\rm[/tex]

b. What is the interest paid to you by the bank?

- Find the interest paid by the bank by subtracting the Future Value Amount by Principal Amount.

  • [tex]I = FV - P[/tex]

  • [tex]I = 25\text,250 - 25\text,000[/tex]

  • [tex]I = 250[/tex]

[tex]\therefore[/tex] Php. 250 is the interest paid by the bank.

[tex]\red{••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

#CarryOnLearning

Salamat sa paggamit ng aming serbisyo. Layunin naming magbigay ng pinaka-tumpak na mga sagot para sa lahat ng iyong mga katanungan. Bisitahin muli kami para sa higit pang mga kaalaman. Pinahahalagahan namin ang iyong oras. Mangyaring bumalik anumang oras para sa pinakabagong impormasyon at mga sagot sa iyong mga tanong. Ipinagmamalaki naming magbigay ng sagot dito sa Imhr.ca. Bisitahin muli kami para sa mas marami pang impormasyon.