Investing An investor wants to place a total of$700,000 in two or more of three investments withdifferent degrees of risk. One investment pays 4%,one pays 8%, and one pays 12%, and the investorwants to earn $42,000 from the investments.a. Write a system of two equations to representthe problem, representing the amount in the 4%investment by x, the amount in the 8% investmentby y, and the amount in the 12% investment by z.b. Solve the system.c. If the investor wants to put the maximum amountin the 4% investment because of lower risk, howmuch should he put in each investment?
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
Investing An investor wants to place a total of
$700,000 in two or more of three investments with
different degrees of risk. One investment pays 4%,
one pays 8%, and one pays 12%, and the investor
wants to earn $42,000 from the investments.
a. Write a system of two equations to represent
the problem, representing the amount in the 4%
investment by x, the amount in the 8% investment
by y, and the amount in the 12% investment by z.
b. Solve the system.
c. If the investor wants to put the maximum amount
in the 4% investment because of lower risk, how
much should he put in each investment?
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