PSC The Annual Income from The Investments Equations Question

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1. Country Day’s scholarship fund receives a gift of $ 145000. The money is invested in stocks, bonds, and CDs. CDs pay 4.5 % interest, bonds pay 5.5 % interest, and stocks pay 10.2 % interest. Country day invests $ 50000 more in bonds than in CDs. If the annual income from the investments is $ 10360 , how much was invested in each vehicle?
Country Day invested $ in stock.
Country Day invested $ in bonds.

Country Day invested $ in CDs.

2. Objective 2.14 or 2.17

Edmonds Community College’s (EDCC) scholarship fund received a gift of $ 150,000.
The money is invested in stocks, bonds, and CDs.
CDs pay 5% interest, bonds pay 5.3% interest, and stocks pay 10.5% simple interest.
EDCC invests $ 25,000 more in bonds than in CDs.

If the annual income from the investments is $9,100 , how much was invested in each vehicle?
solve by the method of your choice either using reduced row echelon form or the matrix equation

EDCC invested

$ in stocks.

$ in bonds.

$ in CDs.

3. Objective 2.14 or 2.17

Edmonds Community College’s (EDCC) scholarship fund received a gift of $ 320,000.
The money is invested in stocks, bonds, and CDs.
CDs pay 3.5% interest, bonds pay 4.3% interest, and stocks pay 9.3% simple interest.
To better secure the total investment EDCC invests 3 times more in CDs than the sum of the stocks and bonds investments

If the annual income from the investments is $13,340 , how much was invested in each vehicle?
solve by the method of your choice either using reduced row echelon form or the matrix equation. Round answers to the nearest thousand. EDCC invested

$ in stocks.

$ in bonds.

$ in CDs.

4. Objective 2.14 or 2.17

At Edmonds Community College freshman need to take a 100 level Math and English plus optional Philosophy course.

In any quarter the college needs to make available 8 less English sections than Math sections.
In any quarter student demand for the optional Philosophy course is half as many sections as English sections.
Available classrooms limit the total sections of all three courses to 68

Given these constraints how many sections of each course should the college make available each quarter to meet demand?

Math sections

English sections

Philosophy sections

5. Kevin is 7 years older than Vivian. In 4 years the sum of their ages will be 83. How old is Kevin now?

6.You are offered two different sales jobs. The first company offers a straight commission of 6% of the sales. The second company offers a salary of $ 260 per week plus 3% of the sales. How much would you have to sell in a week in order for the straight commission offer to be at least as good?

7. A man has 29 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 470 cents, how many dimes and how many quarters does he have?
Your answer is

number of dimes equals

number of quarters equals

8.The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. On a certain day, 280 people entered the park, and the admission fees collected totaled 870 dollars. How many children and how many adults were admitted?

Your answer is

number of children equals

number of adult equals

9. A man flies a small airplane from Fargo to Bismarck, North Dakota — a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1 hour 12 minutes. What is his speed in still air, and how fast is the wind blowing?

Your answer is
his speed equals

the wind speed equals

10. A man invests his savings in two accounts, one paying 6 percent and the other paying 10 percent simple interest per year. He puts twice as much in the lower-yielding account because it is less risky. His annual interest is 10384 dollars. How much did he invest at each rate?
Your answer is
total in the account paying 6 percent interest is

total in the account paying 10 percent interest is

11. You are choosing between two different cell phone plans. The first plan charges a rate of 23 cents per minute. The second plan charges a monthly fee of $44.95 plus 8 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable?

12. The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 304 people entered the park, and the admission fees collected totaled 806.00 dollars. How many children and how many adults were admitted?

Your answer is
number of children equals

number of adults equals

13. Jolene invests her savings in two bank accounts, one paying 6 percent and the other paying 10 percent simple interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual interest is 10758 dollars. How much did she invest at each rate?

Amount invested at 6 percent interest is $

Amount invested at 10 percent interest is $

14. The admission fee at an amusement park is $4.25 for children and $4.80 for adults. On a certain day, 276 people entered the park, and the admission fees collected totaled 1250 dollars. How many children and how many adults were admitted?

number of children equals

number of adults equals

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