Two investments totaling $37,500 produce an annual income of $2210. One investment yields 6% per year, while the other yields 5% per year. How much is invested at each rate?

Answers

Answer 1

Answer:

a = $33,500 at 6%

b = $4,000 at 5%

Detailed Answer:

37,500 = a + b

b = 37,500 - a

a = 37,500 - b

2,210 = a*6% + b*5%

2,210 = a*6% + 5%*(37,500 - a)

2,210 = a*6% - a*5% + 37,500*5%

2,210 = a*(6% - 5%) + 1,875

335 = a*( 6/100 - 5/100)

335 = a*( 1/100)

a = (335*100)/1

a = $33,500

b = 37500 - a

b = 37500 - 33500

b = 4000

Plug back in to check if the amounts invested at each rate equal $2210:

$2210 = a*6% + b*5%

$2210 = 33500*6% + 4000*5%

$2210 = $2010 + $200

$2210 = $2210


Related Questions

Can someone give me the answers I will mark u brilliant

Answers

Answer: 4+x=11

Step-by-step explanation:

4+7=11

Answer:

b

Step-by-step explanation:

Find y if the line through (5, 2) and (7, y) has a slope of 4.

Y=___

Answers

Slope =y2-y1/x2-x1=y-2/7-5=y-2/2=4
Y=(4*2)+2=10
Ans.10

a right retangular prism is 10 1/2 m wide 15 1/2 m long and 3 m tall what is the volume of the prism

Answers

Answer:

V = 488.25

Step-by-step explanation:

Formula:

V = whl

V = 10.5(15.5)(3)

V = 162.75(3)

V = 488.25

A recipe requires 1 cup of flour for every batch of cookies. How many full batches of cookies can be
made with 52 cups of flour?

Answers

The answer would be 52 batches of cookies.

Solve for a: a + 6 - 2 x 6 + 4 – 8 + 3 x 2 = 0

Answers

Step-by-step explanation:

[tex]a + 6 - 12 + 4 - 8 + 6 = 0 \\ a - 4 = 0 \\ a = 4[/tex]

Can someone help me on this one

Answers

Answer:

same as last because it is a circle

Step-by-step explanation:

Answer: diameter = 16 area = 201.06

Step-by-step explanation:

May I please get help on this

Answers

Do not click on his link it is a virus

Help please? (61 + 5) ÷ 6 − 22

Answers

Answer:

-11

Step-by-step explanation:

61 + 5 = 66

66 / 6 = 11

11 - 22 = -11

Answer:

the answer is....

Step-by-step explanation:

-10.8333333

Use the Pythagorean Theorem to find l. 1 l l = 7 [?] ft 13 ft 1 2 ft a C с Pythagorean Theorem: a2 + b2 = c2 b Enter​

Answers

Answer:

l = √10 ft

Step-by-step explanation:

Using Pythagorean Theorem, a² + b² = c², where,

a = ½(2) = 1 ft

b = 3 ft

c = l

Plug in the values

1² + 3² = l²

1 + 9 = l²

10 = l²

√10 = l

l = √10 ft

Dwayne purchased a computer from Techtronic's, Inc. for $2,600 in 2007. The rate of

depreciation is 7%. Which would be the best estimate for the value of the computer in

2010?

Answers

Answer:

[tex]\$2091.3[/tex]

Step-by-step explanation:

Let P denotes initial value of the product, r% is the annual depreciation rate and t denotes time period.

Depreciation (d) = [tex]P(1-\frac{r}{100})^t[/tex]

Put [tex]P=\$2,600,\,r\%=7\%,\,t=3[/tex] years

Therefore,

 [tex]d=P(1-\frac{r}{100})^t\\\\=2600(1-\frac{7}{100})^3 \\\\=2600(\frac{93}{100})^3\\\\=\$2091.3[/tex]

why couldn't klog hear music through his phone

Answers

The reason why Klog could not hear music through his phone was that it was chordless.

What is a Pun?

This refers to the use of words to show their double meaning and how one meaning can sound the same and mean a different thing.

Hence, we can see that from the knowledge of chords, we can see that music is written in chords and Klog's phone did not have a cord and this was the meaning of the pun to show that Klog could not listen to music because his phone did not have a cord.

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Charles invested $15,000 in stocks and bonds. He made a 12% profit on his stock investments and a 5% profit on his bond investments. If Charles's combined profits on both types of investments were $1,450, how much did he invest in stocks?​

Answers

Answer:When you leave the interest in your

account or reinvest the money you earn on your

investments, the money you earn starts to earn

money too. Over time, the magic of

compounding works, allowing your money to

grow with dramatic results. The more time you

have to save, the less money you need to save

because of compounding. And the longer you

wait to start saving, the more you have to spend

to reach your goal. For example, let’s assume

that Maria’s savings grow by 5% a year. If she

starts to save $243 a month now, it will cost her

$58,320 to have $100,000 in twenty years. If

she waits 10 years to start saving, she will have to

save $644 a month for 10 years, and it will cost

her $77,280 to reach $100,000 in twenty years.

Step-by-step explanation:Hope this helps!!!!

Answer:

$10,000 invested into stocks

Step-by-step explanation:

pls help mee help help help help

Answers

Area of circle: pi * r^2
r = 4.8
4.8^2 * 3.14 = 23.04 * 3.14
= 72.3456

Which is the quotient of 15 divided 4? 4/15, 2 2/3, 3 3/4, 4 4/15

Answers

Answer:

its 3 3/4 or in decimal form 3.75

Step-by-step explanation:

15 divided by 4 gives you that answer

Find the surface area of the figure

Answers

Answer:

2400 square feet

Step-by-step explanation:

20 x 20 = 400

400 x 6 = 2400

Hope that helps!

Molly emailed her clients offering a free 30-minute massage for referrals. In the following validation set of 100, class 1 reflects the clients predicted to provide referrals and class 0 reflects the clients predicted to not provide referrals. Based on the confusion matrix, what was the False Negative (FN) of current clients who provided referrals for a free message?Actual Class Predicted Class 1 Predicted Class 0Class 1 18 11Class 0 11 60a. 29b. 18c. 11d. 60

Answers

Answer:

b 18

Step-by-step explanation:

From the given data: the right table arrangement is:  

 [tex]Actual \ Class[/tex]         [tex]\text{ Predicted Class 1}[/tex]                [tex]\text{Predicted Class 0}[/tex]

[tex]Class \ 1[/tex]                          18                                    11

[tex]Class \ 0[/tex]                           11                                   60

The True Positive is the number of current customers who were predicted to give references to a free back rub and who actually gave references to a free back rub.  

This number is given by the section in the segment relating to Predicted Class 1 and the line comparing to A[tex]Class \ 1[/tex]tual Class 1 which is 18.

You are sending a package in the mail. The box is a cube
measuring 14 inches on all sides. How many cubic inches
is the package?

Answers

Answer: 2744

:)

Hope it’s right

The volume of a cube with a side length of 14 inches is 2744 cubic inches.

Side of the cube = 14 inches

What is the volume of a cube?

The volume of a cube with side length a is .

So, the volume of a cube with a side length of 14=14³

The volume of a cube with a side length of 14=2744 cubic inches.

Hence, the volume of a cube with a side length of 14 inches is 2744 cubic inches.

To get more about cubes visit:

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What's the missing value2x+3y=12

Answers

Answer:

x = 3 and y = 2

Step-by-step explanation:

We can plug in the numbers. 2 x 3 is 6, and 3 x 2 is 6. 6 + 6 is 12. So, x is 3 and y is 2.

What is the probability that a student who has no curfew has no chores

Answers

Answer:

C) [tex]\frac{7}{20}[/tex]

Step-by-step explanation:

You are going to look at the number that is both no curfew and no chores. This number will be your numerator. Your denomiantor will be the no curfew total as it is asking you how much of the no curfew students don't have chores. Once you get this number, you will simplify it and get the answer above.

30 POINTS PLUS BRAINLIEST. ANSWER ALL QUESTIONS IN DETAILS,FORMULA AND STEP BY STEP.EXPLANATION FOR EACH ONE. NEEDS TO BE DONE IN 1HR OR LESS. ALL TROLL ANSWERS WILL BE REPORTED​

Answers

Answer: I think the answers below are all correct! :)

Step-by-step explanation: --> (that sign means I simplified the equation)

9-7r=-5 --> (9+5)-7r=0 --> 14-7r=0 --> 14=7r --> r=2

6x-5=4x+9 --> 6x=4x+(9+5) --> 6x=4x+14 --> 6x-4x=14 --> 2x=14 --> x=7

3(2d-1)=7d --> *multiply the parenthesis* 6d-3=7d --> -3=7d-6d -->d=-3

2(p-3)=4(3p+1) --> *multiply the parenthesis* 2p-6=12p+4 --> -10p=10 --> p=-1

___________________________________________________________

Don't know how to do the others below the boxes.

Good Luck!


What is the equation of the line that passes through (4, -1) and (-2, 3)?

Answers

Answer:

-2/3

Step-by-step explanation:

(4, -1) and (-2, 3)

-1 +4 =3

4 - 6 = -2

-4/6 divided by 2/2 equals -2/3

Baka borrows $3,000 to buy a piano. The simple
interest owed at the end of 2 years is $540. what is the annual interest rate on Bakas loan for the piano?

a. 4.5%
b. 9%
c. 11.11%
d. 18%

please answer asap!

Answers

B. Annually 2 years would equal 9%. 540/2=270.
3,000x9%=270.
Altogether would be 18%. But, if we’re solving it for each separate year, then it would be 9%.

The required interest rate on the Bakas loan for the piano is 9%.

Given that,
Baka borrows $3,000 to buy a piano. The simple interest owed at the end of 2 years is $540. what is the annual interest rate on Baka loan for the piano is to be determined.

What is the investment?

When some apply for their money on something so that they can get higher value in returns of their money.

Here,
Simple interest = principal × rate × time / 100
Substitute value in the above equation,
540 = 3000  × rate × 2 / 100
Rate = 540 × 100 / 3000 × 2
Rate = 9%.

Thus, the required interest rate on the Bakas loan for the piano is 9%.

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Auto saved at 08.27.45
What is the volume of the triangular prism?
35 cm
21 cm
14 cm
28 cm
o 8,2332 cm
o 4,116 cm
o 6,860 cm3
• 10,290 cm

Answers

Answer:

the answer is 4116 cm^3

area is (1/2)xbh x 14, b =27, h=21.

Answer:

4116 cm^3

Step-by-step explanation:

giving 100 pts after its answered correctly

Answers

Answer:

I think he just wanted the answer so there isnt free 100 pts :/

Step-by-step explanation:

Answer:

just got robed out of 10 pts tho

Step-by-step explanation:

Apples cost $2 each, while bananas cost $3 each. Maria purchased 10 fruits in total and spent $22. How many apples did she buy?

Answers

mary bought 8 apples
8 apples Mary purchased

Solve the equation using the method of factorisation-
x2 - 4x - 45 = 0

x² + 4x -9= (x + a)^2 + b
Find the value of a and the value of b.

Answers

Answer:

X = 9,X= -5, a =  2, b = -13

Step-by-step explanation:

For (1),

Using Cross-factorization,

it can be reduced to (X - 9)(X + 5) = 0

Equate each factor to 0:

we have X = 9 and X = -5

For (2),

It is the case of completing the Square,

add 4 so we get the completed square ( we want the form X^2 + 2a + a^2)

(X^2 + 4X + 4) - 9

can be simplified to (X+2)^2 -9

However since we added 4 it means we have to subtract 4

So it becomes (X+2)^2 -9 -4

= (X+2)^2 -13

-3/4(4f - 2g)
Please answer as soon as you can!

Answers

Answer:

1

2

+

6

4

Step-by-step explanation:

3

4

(

4

2

)

Simplify

1

Combine multiplied terms into a single fraction

3

4

(

4

2

)

3

(

4

2

)

4

2

Distribute

Solution

1

2

+

6

The local park has a circular pond with a radius of 9 feet. What is the pond's circumference?

Answers

Answer:

Using 3.14 as pi, the answer would be 56.52, and using just pi (as in the input on a calculator) would be 56.54867.

Step-by-step explanation:

The equation for circumference of a circle is C = πd, C representing the circumference and d representing the diameter. Since the equation shows the radius, the equation can also be C = 2πr, since the radius is half of the diameter. Multiply nine by two to get eighteen. 18 times 3.14 = 56.52.

Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. •
• 1/5of the caramel apples are covered with peanuts.
• 1/3are covered with chocolate chips
• 3/10 are covered with coconut.
• The rest are covered with sprinkles.
How many caramel apples are covered with sprinkles?

A 100

B 33

C 25

D 20

Answers

Step-by-step explanation: D. 20

I need help ASAP ! I’ll give anyone 5 stars for the correct answer

Answers

Step-by-step explanation:

[tex]f(x) = {x}^{2} + 2x - 10 \\ f( - 2) = { (- 2)}^{2} + 2( - 2) - 10 = \\ = 4 - 4 - 10 = - 10[/tex]

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