## Fifty Thousand Pesos Split into Two Simple Interest Investment

Problem
A man wants to invest a sum of P50,000 in two investments. The first investment earns a rate of interest 4 times that of the second investment. In 3 years the first investment grows to P37,200. For 10 years, the second investment grows to P24,000.

1. Find the sum invested in each rate of interest.
A.   P35,000 and P15,000
B.   P35,500 and P14,500
C.   P30,000 and P20,000
D.   P32,000 and P18,000

2. Find the rate of interest of each.
A.   8% and 2%
B.   6% and 4%
C.   7% and 3%
D.   5% and 1%

Problem 05 | Inverse Laplace Transform Jhun Vert Mon, 05/11/2020 - 09:54 pm

Problem 05
Find the inverse transform of   $\dfrac{2s^2 + 5s - 6}{s^3 - 3s^2 - 13s + 15}$

Problem 04 | Inverse Laplace Transform Jhun Vert Mon, 05/11/2020 - 09:52 pm

Problem 04
Perform the indicated operation:   $\mathcal{L}^{-1} \left[ \dfrac{s - 5}{s^2 + s - 6} \right]$

Problem 03 | Inverse Laplace Transform Jhun Vert Mon, 05/11/2020 - 09:51 pm

Problem 03
Find the inverse transform of   $\dfrac{7}{s^2 + 6}$.

Problem 02 | Inverse Laplace Transform Jhun Vert Mon, 05/11/2020 - 09:50 pm

Problem 02
Find the inverse transform of   $\dfrac{5}{s - 2} - \dfrac{4s}{s^2 + 9}$.

Problem 01 | Inverse Laplace Transform Jhun Vert Mon, 05/11/2020 - 09:45 pm

Problem 01
Find the inverse transform of   $\dfrac{8 - 3s + s^2}{s^3}$.