# Pre-Calculus

An investor has \$100,000 to invest in three types of
bonds: short-term, intermediate-term, and
long-term.How much should she invest in each type
to satisfy the given conditions?
Short-term bonds pay 4% annually,
intermediate-term bonds pay 5%, and long-term
bonds pay 6%. The investor wishes to realize a total
annual income of 5.1%, with equal amounts
invested in short- and intermediate-term bonds.
I don't understand the question at all, this is just an example problem for the chapter. Please help!

1. 👍
2. 👎
3. 👁
1. Important info at the end:
"with equal amounts
invested in short- and intermediate-term bonds. "
So let each of those amounts be x
then the amount invested at long-term be
100,000 - 2x

He wants to end up with a 5.1% profit on the total 100,000 or \$5100

Now it is easy....

.04x + .05x + .06(100000-2x) = 5100
.09x + 6000 - .12x = 5100
-.03x = -900
x = 30,000

so .....

I will the substitutions up to you.
Also check the answers to see if they satisfy the original conditions.

1. 👍
2. 👎

## Similar Questions

1. ### Social studies

What will happen in an area where large deposits of a desired mineral are found? Select the two correct answers. The area will experience a short term economic boom.*** Tourism in the area will increase in the short term People in

2. ### Even more health...

1. The health continuum is a representation of where your current health says falls--somewhere between illness and wellness. Identify the health status that might cause a decline in health and move you toward a state of illness.

3. ### Arithmetic Sequence

Given the third term of an arithmetic sequence less than the fourth term by three. The seventh term is two times the fifth term. Find the common difference and the first term.

4. ### Math

The sixth term of an A.P. is 5 times the first term and the eleventh term exceeds twice the fifth term by 3 . Find the 8th term ?

1. ### Health

1). Which three kinds of direct pressure do you experience most often? A: Persuasion, explanations, and put-downs are the three kinds of direct pressure I experience most often. 2). Which three kinds of indirect pressure do you

2. ### Economics

Questions: Are the following workers more likely to experience short-term or long-term unemployment? Explain. a. A construction worker laid off because of bad weather. b. A manufacturing worker who loses her job at a plant in an

3. ### Math

The fifth term of an arithmetic progression is three times the second term,and the third term is 10.a)What is the first term,b)the common difference and c)the 15th term?

4. ### math

The 3rd term of an Arithmetic Progression is 10 more than the first term while the fifth term is 15 more than the second term. Find the sum of the 8th and 15th terms of the Arithmetic Progression if the 7th term is seven times the

1. ### Maths

The sixth term of GP is 16 and the third term is 2.Find the first term and common ratio. 6th term =16 3rd term=2 So ar^5=16 and ar^2=2, then divide. So r^3=8, and r^3 =2^3. Therefore r =2 and a=1/2

2. ### algebra

The fifth term of an A.P exceeds twice the second term by 1.The tenth term exceeds twice the fourth term by 3. Find:1.the first term. 2.the common difference. 3.the sum of first twenty five terms.

3. ### mathematics

A goemetric progression is such that the 3rd term is 9times the first term ,while the 2nd term is one-twenty fourth of the 5th term.Find the 4th term

4. ### geometric progression

the 3rd term of a gpis 10 and the 6th term is 80 find the common ratio No2 if the 2nd term of a gp is 4 and the 5th term is 1over 16,the7th term is_