Question

Solve the following problems with a complete solution. How much money should be invested in a financial institution that pays 3.25% simple interest if the amount at the end of 5 years is P450,000.00? What is the accumulated value of P50,000 for 5 years and 3 months at 6.5% simple interest? How long will it take P200,000 to amount to half a million pesos if the simple interest rate is 8.25% per annum? Determine the rate compounded semi-annually at which P10,000 will accumulate to P18,000 in 5 years. Find the amount due on P200,000 in 4 years and 3 months at a. 4 1/4% compounded semi-annually b. 5 1/2% compounded quarterly c. 6% compounded annually d. 7% simple interest 

          Solve the following problems with a complete solution.
How much money should be invested in a financial institution that pays 3.25% simple interest if the amount at the end of 5 years is P450,000.00?
What is the accumulated value of P50,000 for 5 years and 3 months at 6.5% simple interest?
How long will it take P200,000 to amount to half a million pesos if the simple interest rate is 8.25% per annum?
Determine the rate compounded semi-annually at which P10,000 will accumulate to P18,000 in 5 years.
Find the amount due on P200,000 in 4 years and 3 months at 
a. 4 1/4% compounded semi-annually
b. 5 1/2% compounded quarterly
c. 6% compounded annually
d. 7% simple interest
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Added by David W.

Elementary and Intermediate Algebra
Elementary and Intermediate Algebra
Alan S. Tussy, R. David Gustafson 5th Edition
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Solve the following problems with a complete solution. How much money should be invested in a financial institution that pays 3.25% simple interest if the amount at the end of 5 years is P450,000.00? What is the accumulated value of P50,000 for 5 years and 3 months at 6.5% simple interest? How long will it take P200,000 to amount to half a million pesos if the simple interest rate is 8.25% per annum? Determine the rate compounded semi-annually at which P10,000 will accumulate to P18,000 in 5 years. Find the amount due on P200,000 in 4 years and 3 months at a. 4 1/4% compounded semi-annually b. 5 1/2% compounded quarterly c. 6% compounded annually d. 7% simple interest
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Transcript

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00:01 For this problem, we're asked to use the compound interest formula, a equals p times 1 plus r over n to the power of nt, and a equals p -e to the power of rt to solve the given problem.
00:13 So before jumping right into the question, i'll note that essentially this problem is just a matter of understanding how to use those given equations.
00:22 So we have a equals p times 1 plus r over n to the power of n times t.
00:27 So a is, we can think of it as the amount at time t.
00:35 So it's the amount at t.
00:36 P is the principal or the initial investment.
00:42 R is the interest rate.
00:50 N is number of compounds or number of compound periods per time unit, i .e.
01:09 Per year, etc.
01:10 Etc.
01:12 And then t is number of time units.
01:24 So for part a, we're asked, what is the accumulated value if the money is compounded semi -annually? all we need to do is plug in the numbers.
01:33 So we have 25 ,000 is the principal...
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