Maricopa's Success scholarship fund receives a gift of $ 75000. The money is invested in stocks,
bonds, and CDs. CDs pay 2.25 % interest, bonds pay 4.4 % interest, and stocks pay 6.5 % interest.
Maricopa Success invests $ 30000 more in bonds than in CDs. If the annual income from the
investments is $ 3610, how much was invested in each account?
Maricopa Success invested $___in stocks.
in bonds.
Maricopa Success invested $___ in bonds.
Maricopa Success invested $____in CDs.

Answers

Answer 1

Answer:

Maricopa's Success invests $25,000 in stocks, $40,000 in bonds, and $10,000 in CDs.

Step-by-step explanation:

a = Stocks

b = Bonds

c = CDs

a + b + c = 75000

b = 30000 + c

a = 75000 - c - 30000 - c = 45000 - 2c

0.065(45000 - 2c) + 0.044(30000 + c) + 0.0225c = 3610

2925 - 0.13c + 1320 + 0.044c + 0.0225c = 3610

0.0635c = 635

c = 10000

So b = 40000 and a = 25000


Related Questions

Lisa has collected data to find that the number of pages per book on a book shelf has a normal distribution. What is the probability that a randomly selected book has less than 168 pages if the mean is 192 pages and the standard deviation is 24 pages? Use the empirical rule. Enter your answer as a percent rounded to two decimal places if necessary.

Answers

Answer:

The answer is "Thus a chosen random book has a 15.87% chance of fewer than 170 pages".

Step-by-step explanation:

[tex]Mean = 190\\\\\text{Standard devaition} \ \sigma= 20\\\\\to P(\bar{x}<70)\\\\Z = \frac{(170-190)}{20}[/tex]

   [tex]= \frac{-20}{20} \\\\=-1[/tex]

It found a p-value from its empirical rule:

[tex]\to P(\bar{x}<170) = 0.1587[/tex]

Andre performs a 90-degree counterclockwise rotation of Polygon P and gets Polygon P', but he does not say what the center of the rotation is. Can you find the center? Explain how you know.

Answers

Answer:

eefhhdfbhvfhfajfdhjk,nm?sorry dont knwo

Step-by-step explanation:

1+1+2+2+8+19+1234385993 hehe i will brainlest

Answers

Answer: 1234386026

Step-by-step explanation:

Answer:

1,234,386,030

Step-by-step explanation:

Find the lcm of 300,400 and 500

Answers

1. Decompose all numbers into prime factors
300 2 150 2 75 3 25 5 5 5 1 400 2 200 2 100 2 50 2 25 5 5 5 1 500 2 250 2 125 5 25 5 5 5 1
2. Write all numbers as the product of its prime factors
Prime factors of 300 = 22 . 3 . 52
Prime factors of 400 = 24 . 52
Prime factors of 500 = 22 . 53
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 2 , 5
Common prime factors with the greatest exponent: 24, 53
Uncommon prime factors: 3
Uncommon prime factors with the greatest exponent: 31
4. Calculate the Least Common Multiple or LCM
Remember, to find the LCM of several numbers you must multiply the common and uncommon prime factors with the greatest exponent of those numbers.
LCM = 24. 53. 31 = 6000

A person on a moving sidewalk travels 56 feet in 8 seconds. The moving sidewalk has a length of 210 feet. How long will it take to move from one end to the other?

PLEASE HELP ME WILL REPORT IF TROLL

Answers

Answer:

The answer is 1470 seconds.

Step-by-step explanation:

A bicycle is traveling at 21 miles per hour. How many feet will it cover in 35 second?

Answers

The answer is an estimate of about 943.36 feet.

4x + 16y = -19
-2x - 8y = 10

Answers

Answer:

No solution.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

4x + 16y = -19

-2x - 8y = 10

Step 2: Rewrite systems

-2x - 8y = 10

Add 8y to both sides:                    -2x = 8y + 10Divide -2 on both sides:                x = -4y - 5

Step 3: Redefine systems

4x + 16y = -19

x = -4y - 5

Step 4: Solve for y

Substitution

Substitute in x:                         4(-4y - 5) + 16y = -19Distribute 4:                              -16y - 20 + 16y = -19Combine like terms:                -20 ≠ -19

Here we see that -20 does not equal -19.

∴ This systems of equations has no solution

Step 5: Graph

Check the systems.

Hard to see, but they are parallel lines.

Please I really need help
For both questions please

Answers

Answer:

2 is A, 3 is C

Step-by-step explanation:

2 is A, and 3 is C. Hope this helps!

The slope of the line through -9,6 and -6,-9

Answers

Answer:

-5

Step-by-step explanation:

plz mark brainliest :)

what is the expanded notations for 232,913,805​

Answers

Answer:

200,000,000 + 30,000,000 + 2,000,000 + 900,000 + 10,000 + 3,000 + 800 + 5

Step-by-step explanation:

2. What number is equal to five units + three tenths? Circle the correct answer.
0.53
0.35
5.3
3.5
53
35

Answers

Answer:

35

Step-by-step explanation:

5*1+3*10

5+30 = 35

solve this question 15+18/4​

Answers

Answer:

the answer is

Step-by-step explanation:

15+8/4=8

15+8=32

32÷4=8

Answer:

15+18/4=8.25

Step-by-step explanation:

if u divide 33 by 4

A taxi cab charges a flat fee of $1.75 plus $0.30 for each half-mile or fraction of a half-mile.

a) Fill in the chart.

b)write and equation for the function.

Answers

Answer:

a) there is no chart but we can elaborate one:

taxi fee            half-miles driven

$1.75                      0

$2.05                     1

$2.35                     2

$2.65                     3

$2.95                     4

$3.25                     5

$3.55                     6

b) y = 0.3x + 1.75

where:

y = taxi fee

x = half miles driven

The sides of a triangle are 5 cm, 5 cm and 6 cm. The altitude of the longest side is​

Answers

Answer:

Hi... U should do like this

what type of angle is 1​

Answers

Answer:

Step-by-step explanation:

A right angle

1.5.3

6x+7

To solve for the lengths of the right triangle sides, which equation is correct?

A. x² = (4x - 1)² + (6x + 7)?

B. x2 +(6x + 7)2 = (4x - 1)2

c. x² = (4x - 1)² – (6x + 772

D.x² + (4x - 1)2 = (6x + 7)?

4x-1

To solve for the lengths of the right triangle sides, equation is correct.

(Type A, B, C, or D.)

Answers

Answer:

A. [tex]x^2 = (4x - 1)^2 + (6x + 7)^2[/tex]

Step-by-step explanation:

The question seems to be incomplete. However, we'll make the following assumption.

[tex]Opposite = 6x + 7[/tex]

[tex]Adjacent = 4x - 1[/tex]

[tex]Hypothenuse = x[/tex]

Pythagoras theorem states that:

[tex]Hypothenuse^2 = Opposite^2 + Adjacent^2[/tex]

Substitute values for Hypothenuse, Opposite and Adjacent.

This gives

[tex]x^2 = (6x + 7)^2 + (4x - 1)^2[/tex]

or

[tex]x^2 = (4x - 1)^2 + (6x + 7)^2[/tex]

From the list of given options.

A answers the question

4+4
[tex]4 + 4[/tex]

Answers

Answer:

4+4 = 8.

Step-by-step explanation:

Or 44, depends on whether you're trolling. XD

Hope this helped...

[tex] \huge \: Your \: answer \: is \: 8[/tex]

The length of a rectangle exceeds its width by 1
inch and the area is 132 square inches. What
are the length and width of the rectangle?

Answers

Answer:

Width equals 11, and length equals 12.

Step-by-step explanation: It is helpful to memorize your multiplication tables up to 12. I personally couldn't figure out a formula for this, but I knew that 12 x 11 equals 132, and the length is greater than the width, so length is 12 and width is 11. Hopefully somebody else can figure it out. P.S. I meant the formula, not the answer, my answer is correct.

Answer:

[tex]l(l - 1) = 132[/tex]

[tex] {l }^{2} - l - 132 = 0 [/tex]

[tex](l - 12)(l + 11) = 0[/tex]

[tex]l = 12 \: or \: l = - 11[/tex]

[tex]length \: must \: be \: postive[/tex]

[tex]integers[/tex]

[tex]l = 12 \: and \: w = l - 1 = 11[/tex]

plato

please help and thanks in advance :)

Which of the expressions below has a 5 in the thousandths place of the
product? Select all that apply.
A) 23.45 x 3.5
B) 12.5 x 4.5
C) 19.5 x 2.55
D) 8.65 x 4.5

Answers

Answer:

A,C, and D

Step-by-step explanation:

Thousandths place is this the third place behind the decimal.

A = 82.075

B = 56.250

C = 49.725

D = 38.925

Hope this helps ya!!

guys help plz What is the coefficient of y^2 in the expression 2x^2y – 10xy^2 + 5y^2?

Answers

the coefficient of y^2 is 5.
the coefficient is basically like the value of the unknown term, y^2.

Please Help! WILL GIVE BRAINLIEST​

Answers

Answer:

{-1, 0, 1, 2}

Step-by-step explanation:

PLZ Help Urgent. 15 POINTS, BRAINLY Guaranteed.
Plz Answer honestly or you will be reported.

Evaluate.

(2/7)^3

A: 8/343
B: 8/7
C: 3/343
D: 6/7

Answers

Answer:

8/343

so A

Step-by-step explanation:

6. Evaluate f(-1).

7. What value of a will make the equation f(a) = 6 true?

someone please help lol I have a test <3

Answers

Answer:

6. -f         7. f= 6/8

Step-by-step explanation:

Hope dis helps!!

Each big square below represents one whole,
What percent is represented by the shaded area?
%

Answers

The first square is 100% and the second square is 55% filled in

which model represents a fraction greater than 3/5? ​

Answers

Answer:

The last one is your answer :))

Step-by-step explanation:

Answer:

Blue circle.

Step-by-step explanation:

I hope it helps, if my answer is correct, please give BRAINLEST!

1/6 * 3/4
could be answers
3/10
1/6
1/8
4/10

Answers

Answer:

it's a sooooooo it's the first one

Answer:

1/8

Step-by-step explanation:

i used the calculator.

F+G=K+7, K=7 prove: G=7

Answers

Answer
Do I show my work ?
Explanation

Step-by-step explanation:

K=7,

F+G=K+7

F+G=7+7

F=7, G=7 proved

Martina ordered a set of blue and orange pins. She received 96 pins in all. 24 of the pins were
blue. What percentage of the pins were blue?
Write your answer using a percent sign (%).

Answers

Answer:

25%

Step-by-step explanation:

This is like a part over whole problem, where 24 blue pens is the part and 96 pens total is the whole.

24/96 = 0.25 * 100 = 25%

Answer:

Of the 96 pins, 25% of the pins were blue.

Step-by-step explanation:

We are given that Martina ordered 96 pins in total. We are also given that she ordered 24 blue pins.

With this, we can determine how many of the pins were not blue pins by subtracting the amount of blue pins from the number of total pins.

[tex]96 \ \text{total pins} - 24 \ \text{blue pins} = 72 \ \text{orange pins}[/tex]

Now, we can divide the number of blue pins by the number of total pins to determine the fraction of blue pins to total pins.

[tex]\displaystyle \frac{24}{96} = \frac{12}{48} = \frac{6}{24} = \frac{3}{12} = \frac{1}{4}[/tex]

Then, we can convert our fraction to a decimal.

[tex]\displaystyle \frac{1}{4} = 0.25[/tex]

And finally, we can convert our decimal to a percentage by multiplying the determined decimal by 100.

[tex]0.25\times100 = 25\%[/tex]

Therefore, of the 96 pins that Martina ordered, 25% of them were blue.

2+4 i need help right now​

Answers

Answer:

6?

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

2 + 4 =6

just add 2 by 4 than ans 6

PLZZZZ HELP MEEEEE FASTTTTT I GONNNA CRY
At a local garden shop, a customer pays $48 for 5 gerber daisies and 4 lily-of-the-valleys. Another customer pays $58 for 4 gerber daisies and 6 lily-of-the-valleys. Part A: Write a system of equations you can use to find the cost x of one gerber daisy and the cost y of one lily-of-the-valley. Part B: Solve the system of equations. Show your work or explain your steps.

Answers

Answer:

A lily costs $7 and a geranium $4.

Step-by-step explanation:

From the question we can write two equations. let the number of lilies be l and the number of geraniums be g, then:

5

g

+

4

l

=

48

4

g

+

6

l

=

58

Multiply the first equation by 4 and the second by 5, the number of lilies in the other, gives:

20

g

+

16

l

=

192

20

g

+

30

l

=

290

Subtract the first equation from the second gives:

14

l

=

98

which dividing by 14 gives

l

=

7

Substituting the value

l

=

7

in the first equation gives:

5

g

+

28

=

48

Subtract 20 from both side gives:

5

g

=

20

divide by 5 gives

g

=

4

So, a lily costs $7 and a geranium costs $4.

Answer:A lily costs $7 and a geranium $4.

Step-by-step explanation:From the question we can write two equations. let the number of lilies be L and the number of geraniums be g, then:

5g+41=48

4g+6 L=58

Multiply the first equation by 4 and the second by 5, the number of lilies in the other, gives:

20g + 16 L=192

20g + 30 L=290

Subtract the first equation from the second gives:

14 L =98 which dividing by 14 gives L=7

Substituting the value L = 7

in the first equation gives:

5g + 28 = 48

Subtract 20 from both side gives:

5g = 20

divide by 5 gives

g = 4

So, a lily costs $7 and a geranium costs $4.

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