Splitting investments. Joan had $3,000 to invest. She invested part of it in an investment paying 8% and the remainder in an investment paying 10%. If the total income on three investments was $290, than how much did she invest at each rate?

Answers

Answer 1

Answer:

Step-by-step explanation:

From the given information:

Let assume that the invested amount in the investment paying 8% interest is a

Now, since the total amount invested = $3000.

Then, the amount invested in the investment that will be paying 10% interest can be represented as:

= $(3000-a)

Income earned on $a that is being invested in 8% interest = $a × 8/100 = $0.08a

Income earned from $(3000-a)  in the 10% investment is:

= $(3000-a)× 10/100

= $(300 - 0.1a)

Since total income of the two investment = $290;

Then;

0.08a + (300 - 0.1a) = 290

0.08a + 300 - 0.1a = 20-

300 - 0.02a = 290

-0.02a = -10

a = -10/-0.02

x = 500

Thus;

the amount invested in an investment paying 8% interest = $500

the amount invested in an investment paying 10% interest = $(3000 - 500) = $2500


Related Questions

I had $13.00. My mom gave $10.00 my dad gave $30. My Aunt, My uncle and grandma gave me $100. I had another $7.00. How much did I have?

Answers

$160 (if uncle, granny, aunt, gave $100 in total) $260 if they gave $100 each

Answer:

$360.00

Step-by-step explanation:

$13.00 + $10.00 + $30.00 + $100.00 + $100.00 + $100.00 + $7.00 = $360.00

I hope this helps you :D

A triangle with sides 6, 12, and 18 is similar to another triangle whose longest side is 24. What is the perimeter of the larger triangle?

Answers

Answer:

Possibly 48 because perimeter I believe is found by adding all sides up sorry if I'm wrong friend. -Your friend, Cipher

Step-by-step explanation:

???????????????????????????

Answers

Answer:1/3

Step-by-step explanation:

Aubrey worked at the concession stand during a recent sporting event at her high school. During the first hour of the event, she sold 11 orders of nachos and 18 tacos for a total of 64.95 . During the second hour, she sold 6 orders of nachos and tacos 15 for a total of 43.20.

Answers

Answer:

cost of nachos = $3.45

Cost of tacos = $1.5

Step-by-step explanation:

Let

x = cost of nachos

y = cost of tacos

11x + 18y = 64.95 (1)

6x + 15y = 43.20 (2)

Multiply (1) by 6 and (2) by 11 to eliminate x

66x + 108y = 389.70

66x + 165y = 475.20

Subtract to eliminate x

165y - 108y = 475.20 - 389.70

57y = 85.50

y = 85.50/57

y = 1.5

Substitute y = 1.5 to find x

11x + 18y = 64.95 (1)

11x + 18(1.5) = 64.95

11x + 27 = 64.95

11x = 64.95 - 27

11x = 37.95

x = 37.95/11

x = 3.45

cost of nachos = $3.45

Cost of tacos = $1.5

Can anyone help?

If arcLM = 8x-56 and arcNP = 5x+22, find arcLP.

Answers

Answer:

arcLP = 19

Step-by-step explanation:

Given the following

arcLM = 8x-56

arcNP = 5x+22

Required

arcLP

Given that arcLM = arcNP

8x-56 = 5x+22

8x - 5x  = 22 + 56

3x = 78

x = 78/3

x = 26

Let assume arcLP = x - 7

arcLP = 26 -7

arcLP = 19

Would it be a
B
C
Or d

Answers

Answer:

bb bb bb bb bb BB BBB bb BB BBB

Answer:

b

a>-21 ⅓

Step-by-step explanation:

the second one.

Qual é a raiz quadrática de 87?​

Answers

Answer:

raiz cuadratica de 87 =9.3273790530888

Step-by-step explanation:

Answer:

Xdddddddddddd1 2b2 3 4 4 4

sam has 4 balls and jose has 6 if sam gives jose 1 of her balls how many does shee have

Answers

Answer:

sam has 3 balls left

Step-by-step explanation:

Answer: she has 3 left

Step-by-step explanation:

Determine the domain of the following graph:
Help

Answers

Answer:

Domain: (-3, 7)

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)Interval Notation - [a, b] is inclusive, (a, b) is exclusive

Step-by-step explanation:

According to the graph, our x-values span from -3 to 7. Since both are open dot, they are exclusive from the domain:

Interval Notation (-3, 7)

Inequality Notation -3 < x < 7

Can you please solve this

Answers

Step-by-step explanation:

To get the x intercepts you need to set y = 0.

So you will get:

[tex]x^{2}[/tex] - 4x - 12 = 0

which can then be put in the form of:

(x - 6) (x + 2) = 0

The x intercepts are: (6,0) and (-2,0).

For the vertex you would need to convert the equation to vertex form.

which is : y = a[tex](x-h)^{2}[/tex] =k

[tex]x^{2}[/tex] - 4x - 12 = y

turn it in to square form:

([tex]x^{2}[/tex] - 4x + 4) - 12 - 4 = y

[tex](x-2)^{2}[/tex] - 16 = y

so the vertex is = (2, -16)

Answer for brainliest.

Answers

23.7 inches squared
hope this can help

Write > or < to make each statement true

1.) 9 ____ -11
2.) 17 ____ 23
3.) 8 ____ -8
4.) -32 ____ 4
5.) -10 ____ -12

help help help​

Answers

Answer:

1)>

2)<

3)>

4)<

5)>

Step-by-step explanation:

Answer:

[tex]9 > - 11 \\ 17 < 23 \\ 8 > - 8 \\ - 32 < 4 \\ - 10 > - 12 [/tex]

is it possible to have a regular polygon with measure of each exterior angle as 22

Answers

Answer:

No

Step-by-step explanation:

Number of sides of a polygon = 360°/measure each exterior angle

= 360°/22

= 16.36°

Since, answer is not a whole number, thus, a regular polygon with measure of each exterior angle as 22⁰ is not possible.

Thus the answer is no.

Answer:

No, it is not possible.

Step-by-step explanation:

The sum of the exterior angles = 360

360 divided by 22 = 16.36

As 16.36 is not a whole number an exterior angle of 22 degrees is not possible.

LuAnn is playing a math game. She chooses three cards. The value of each of her cards is shown. First card: -12, Second card: 3, Thirds card: -5. What is the sum of the values of LuAnn's three cards?

Answers

Answer: -14

Step-by-step explanation:

Simplify the expression:
6(2x+4)
————-
3

Answers

Answer:

4x + 8

Step-by-step explanation:

first divide 6 by 3 to get 2:

2(2x+4)

then multiply the 2 with the 2x and 4:

2(2x+4) = 4x + 8

Answer:

Step-by-step explanation:

to simplify you need to divide by 3 first

6(2x+4)/3=2(2x+4)

=4x+8

Hayley picked 2/3 of a pound of

berries. She divided them

evenly among 3 containers.

How many pounds of berries

did Hayley put in each

container?

Answers

the answer the this is 0.23 pounds per container

Determine the equation of a line that passes through the point (3,-2) and is PERPENDICULAR to the equation
y= 3x - 1

Answers

y= -1/3x + 5

If the line is perpendicular, it means the slope is negative reciprocal of 3, which is -1/3.

Equation where b (y-intercept) is unknown:
y= -1/3x + b

Replace x with 3 and y with -2 since the line passes through those points.

-2= -1/3(3) + b
-2= -3 + b

Add 3 to both sides of the equation:
1=b, the y-intercept is 1.

The full equation:
y = -1/3x + 1

You can add ________ without changing either fraction's denominator.

A
1/3 and 1/2

B
3/7 and 4/5

C
2/3 + 2/5

D
2/5 and 3/5

Answers

Answer:

D I believe (so 2/5 and 3/5)

Answer:

D

Step-by-step explanation:

Because D has same dominator and you don’t change dominator when adding fractions

Hope this helps.

Mark brainliest if it help.

Please help! I have no clue how to do this problem. Any help would be appreciated:)

Answers

Answer:

13

Step-by-step explanation:

180-96=84

(4x-10)+(4x-10)= 84

X=13

simply the following: (2+5i)^2 - (2+i)​

Answers

Answer:

- 23 + 19i

Step-by-step explanation:

[tex](2 + 5i)^{2} - (2 + i) \\ \\ = {2}^{2} + {(5i)}^{2} + 2.2.5i - 2 - i \\ \\ = 4 + 25 {i}^{2} + 20i - 2 - i \\ \\ = 4 - 25 + 20i - 2 - i \\ ( \because \: {i}^{2} = - 1) \\ \\ 4 - 25 - 2 + 20i - i \\ \\ = - 23 + 19i[/tex]

please help me guys please​

Answers

Step-by-step explanation:

If you need any explanation you can communicate with me

Lena has two coupons for shoes.
Coupon A: 30% off of $63 shoes
Coupon B: S22 rebate on $63 shoes
Choose the coupon that gives the lower price,
Then fill in the blank with the correct value.

Answers

Your answer is A because 30 percent off of $63 is 18 converse to 22 rebate coupons

Find 39.5% of 373. Round to the nearest hundredth

Answers

39.5% of 373. is 147.336

Mr. Jalon owns a book store. He bought 100 books this week. 7 of them were ripped. What percent of this eggs were not ripped?

Answers

Answer:

93 %

Step-by-step explanation:

There are 100 books meaning that the percentage will be out of 100, think of 7 as a percent. 100 - 7 = 93, 93 %

This is probably wrong ;')

simplify 3a x 4, thank youuuu

Answers

Answer:

12a

3 x 4 =12a

one T-shirt is sold for every 5 people who att6a concert what is the ratio of people to T-shirts sold is how much to how much ​

Answers

Answer:

The ratio is 5:1 or also 5/1

Step-by-step explanation:

Ratios

Ratios are usually expressed as a:b or as a fraction a/b. Ratios are used to measure the relative times a is in b. For example, a ratio of 7:3 means there are 7 of something for each 3 of other thing.

We are told one T-shirt is sold for every 5 people wh attends a concert and it's required to find the ratio of people (5) to T-shirts sold (1).

The ratio is 5:1 or also 5/1

PLZ HELP QUICK!!
Maria is playing a video game. She earns 35 points when she completes Level 1. Each time she completes a level, she earns twice
as many points as the previous level.
How many points will Maria earn when she completes Level 6?
Enter your answer in the box.

Answers

Answer:

2205

Step-by-step explanation:

Answer:

its 1,120

Step-by-step explanation:

35 points

35 times 2 =70

70 times 2 =140

140 times 2= 280

280 times 2 =560

560 times 2= 1,120

also i got it right.

Use a percent proportion to find 25% of 350.

Answers

Answer:

7.142857143 or

[tex] \frac{50}{7} [/tex]

Step-by-step explanation:

100 ÷ 350 = .2857142857

.2857142857 × 25 = 7.142857143

x(3x - 5) please and 5x(x - 3y) urgent !

Answers

Answer: 3x^2-5x

5x^2-15xy

Step-by-step explanation:

Answer:

3x² - 5x & 5x² - 15 xy

Step-by-step explanation:

1) x(3x - 5)

x × 3x - x × 5 (take the brackets out)

3x² - 5x.

2) 5x (x - 3y)

5x × x - 5x × 3y (take the brackets out)

5x² - 15 xy

The hockey team had 18 students try out for the team, which was 2 times the number of students who tried out for the soccer team. How many students tried out for the soccer team?

Answers

Answer:

Number of students in the soccer team [tex]=9[/tex]

Step-by-step explanation:

Number of students in the hockey team [tex]=18[/tex]

Let [tex]x[/tex] denotes number of students in the soccer team.

The hockey team had 18 students try out for the team, which was 2 times the number of students who tried out for the soccer team.

[tex]18=2x\\\frac{18}{2}=x\\9=x[/tex]

Therefore,

Number of students in the soccer team [tex]=9[/tex]

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