1. Suppose that a couple invested P50,000 in an account when their child was born, to prepare for the child's college education. If the average interest rate is 4.4% compounded annually, (a) give an exponential model for the situation, and (b) will the money be doubled by the time the child turns 18 years old?

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
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11:13 O d e
Escobar, Marie .
November 18, 2021
What's More
ACTIVITY 2: Problem Set
Directions: Solve what is asked in each item. Write your complete solutions and
answers in a 1 whole sheet of paper.
1. Suppose that a couple invested P50, 000 in an account when their dchild was born, to
prepare for the child's college education. If the average interest rate is 4.4% compounded annually,
(a) give an exponential model for the situation, and (b) will the money be doubled by the time the
child turns 18 years old?
2. You take out a P20,000 loan at a 5% interest rate. If the interest is compounded annually,
(a) give an exponential model for the situation, and (b) how much will you owe after 10 years?
3. Suppose that the half-life of a substance is 250 years. If there were initially 100 g of the
substance, (a) give an exponential model for the situation, and (b) how much will remain after 500
years?
II
4. A population starts with 1,000 individuals and triples every 80 years. (a) Give an exponential
model for the situation. (b) What is the size of the population after 100 years?
5. P10, 000 is invested at 2% compounded annually. (a) Give an exponential model for the situation.
(b) What is the amount after 12 years?
Transcribed Image Text:11:13 O d e Escobar, Marie . November 18, 2021 What's More ACTIVITY 2: Problem Set Directions: Solve what is asked in each item. Write your complete solutions and answers in a 1 whole sheet of paper. 1. Suppose that a couple invested P50, 000 in an account when their dchild was born, to prepare for the child's college education. If the average interest rate is 4.4% compounded annually, (a) give an exponential model for the situation, and (b) will the money be doubled by the time the child turns 18 years old? 2. You take out a P20,000 loan at a 5% interest rate. If the interest is compounded annually, (a) give an exponential model for the situation, and (b) how much will you owe after 10 years? 3. Suppose that the half-life of a substance is 250 years. If there were initially 100 g of the substance, (a) give an exponential model for the situation, and (b) how much will remain after 500 years? II 4. A population starts with 1,000 individuals and triples every 80 years. (a) Give an exponential model for the situation. (b) What is the size of the population after 100 years? 5. P10, 000 is invested at 2% compounded annually. (a) Give an exponential model for the situation. (b) What is the amount after 12 years?
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