Heather has divided $5600 between two investments, one paying 9% the other paying 5%. If the return investment is $396, how much does she have in each investment?

Answers

Answer 1

Answer:

x = 2700 y=2900

Step-by-step explanation:

x+y = 5600

5/100 x + 9/100 y = 396

x+y=5600

5x+9y=39600

5x+5y = 28000

5x+9y=39600

-4y = -11600

y= 2900

x = 5600-2900 = 2700

Answer 2
0.9x. +0.6(5600-x)=396
9x + 6 (5600-x) =39600
9x + 33,600 - 6 = 39600
3x = 6000
X = $2000




So 2000 invested at 9% and 3000 invested at 5%


09(2000) + .05(3000) = 3300

Related Questions

Monique bought 3 boxes of cereal at the grocery store. Each box of cereal costs c dollars. Which equation represents the total amount of money, t, Monique spent on cereal?

Answers

Answer:

3c = t

Step-by-step explanation:

3 cereal boxes is 3c and the total is t. so 3c = t

Answer:

3c = t

3 is the amount of boxes, c is the money, therefore, it is 3c=t, which means c times the number of boxes equals t

a NYC street vendor spends $75 a day on supplies it cost the vendor $0.50 to make a pretzel the vendor sells each 3 dollars ​

Answers

Answer:

very unclear picture, and unclear question. is that really how it's worded?

Step-by-step explanation:

Measure Math | Welcome, HAILEE KNOTT
What is another way to write 15 divided by 2?
15
O 15+2
O 15 x 2

Answers

Answer: [tex]15\times\frac{1}{2}[/tex]

Explanation:

Multiplying by 1/2 is the same as dividing by 2.

For example, if you have 10 slices of cake and 2 friends, then each friend gets 10/2 = 5 slices. We could also say [tex]10\times \frac{1}{2} = 5[/tex]

The fraction 1/2 converts to the decimal form 0.5, which means [tex]10 \times \frac{1}{2} = 10*0.5[/tex]

Look at the three dimensional solid below

Answers

Answer:

A.

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Marvin went on a shopping trip to Belleville. He purchased a grandfather clock originally
priced at $875 but discounted 60%. If sales tax in Belleville is 10%, what was the total cost?

Answers

Answer:

$385

Step-by-step explanation:

60% of $875 = $525

$875 - $525 = $350

10% of $350 = $35

$350 + $35 = $385

THE COFFICENT OF y in term -y /3 is

Answers

Answer:

-1/3

Step-by-step explanation:

hope it helps thanks

Answer:

-1/3

Step-by-step explanation:

Which planet in the chart is most likely Earth? Yeah
Does somone no the answer

Answers

Answer:

Kepler-452b has a probable mass five times that of Earth, and its surface gravity is nearly twice as Earth's, though calculations of mass for exoplanets are only rough estimates. If it is a terrestrial planet, it is most likely a super-Earth with many active volcanoes due to its higher mass and density.Step-by-step explanation:

To track the reptile population around a lake, researchers marked 36 turtles. A few weeks later, they counted 400 turtles, of which 20 were marked. To the nearest whole number, what is the best estimate for the turtle population?

Answers

Answer: 720

Step-by-step explanation:

From the question, we are informed that cthe researches counted 400 turtles, of which 20 were marked. This implies that 20/400 = 1/20 were marked.

If the researchers wanted to track the reptile population around a lake, and the researchers marked 36 turtles, the estimate of the total population will then be:

1/20 × x = 36

x/20 = 36

x = 20 × 36

x = 720

The turtle population is 720

Seiko takes pottery classes at two different studios. Is there a number of hours for which Seiko’s cost is the same at both studios?

Answers

I hope this helps a little bit.

Ann is using a recipe that serves 20 people. The recipe requires 1/2 of a cup of sugar. How many cups of sugar does Ann need to serve 70 people with this recipe?

Answers

Answer:

Step-by-step explanation:

x/70=0.5/20

x=35/20

x=1.75

Ann will need 1.75 cups of sugar.

If 48% of the students in a certain college are female and there are 2,400 female students, how many students are male?

Answers

Answer:

2,600 male students

Step-by-step explanation:

[tex]\frac{2,400}{0.48} = 5,000[/tex]

There are 5,000 students in total.

Since 2,400 of them are female, the remaining students must be male.

5,000 - 2,400 = 2,600 male students

find the slope between points (3, 1) and 3, -2)​

Answers

Answer:

3

Step-by-step explanation:

Help me plsss

And show identity. Thank you:)

Answers

Answer:

see the formula in book

Step-by-step explanation:

change the first 2 brackets into cos sin like that

then after,change both into another formula

sin theta plus cos theta will come ans

how many inches are in 3 yards​

Answers

Answer:

108

Step-by-step explanation:

36 inches in a yard

12 inches in 1 foot, 3 feet in 1 yard.

12 * 3 = 36, 36 * 3 = 108

108 inches in 3 yards

Hope this helps!

Find the greatest common factor of 12c^3 and 20n^4​

Answers

Answer:

4

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor.

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HELP I NEED HELP ASAP
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Answers

Answer:

the answer  is c

Step-by-step explanation:

if right pls give brainleist

f(x)=x^2 g(x)=x-5
(f of g)(-2)=​

Answers

Step-by-step explanation:

search u po sa math papa dali LNG yan

Can someone explain this to me please will give brainliest
Bill's new porch is rectangular, with an area of 50 square feet. If the length of the porch is two times the width, what is the perimeter of the porch?
A.30
B.40
C.50
D.60

Answers

the answer is A. for this, you have to set up a system of equations. the first one will be the area equation. since you know area=length x width, your equation will be LxW=50. the next equation is L=2W, since the length is two times the width. then, plug in 2W for the L in the other equation and you get 2W^2=50. divide by 2 and get W^2=25. square root both sides and you get W=5. plug back into the other equation to find L=10. Then, add the sides of the rectangle for the perimeter. 10+5+10+5=30.

(50Pts) When using the vertical method to multiply polynomials, your like terms must be lined up in ____________.

descending order
ascending order
columns
rows

Answers

I think you line them up in columns

Answer:

C. Columns

Step-by-step explanation:

It's correct, I took the test and got it right.

I need it please help

Answers

Answer:

2

Step-by-step explanation:

1600/800=2 hope it helps

Answer:

i can't see the picture!!!

Step-by-step explanation:

Work out (4.2×107)÷(7×104)Give your answer in standard form. Work out (4.2×107)÷(7×104)Give your answer in standard form.

Answers

Answer:

6 * 10^2

Step-by-step explanation:

Simplify : (4.2×10^7)÷(7×10^4)

(4.2 × 10^7) / (7 × 10^4)

From indices : 10^a ÷ 10^b = 10^(a - b)

(4.2 / 7) * 10^(7-4)

0.6 * 10^3

= 6 * 10^2

Hence, (4.2×10^7)÷(7×10^4) = 6 * 10^2

PLEASE HELPPPPP!!!!!! Solve each equation. Check your solution. (Please help! I will give brainliest to whoever answers them all!)
1. -1/2 = -6/18h
2. 16 = 3/10 a
3. 3/5 x = 12
4. 15/7y = 3
5. 14/3 = -7/9b

Answers

1) Answer:

[tex]h = \frac{3}{2} [/tex]

2) Answer:

[tex]a = \frac{160}{3} [/tex]

3) if you mean,

[tex] \frac{3}{5} x = 12[/tex]

Then the answer is. x = 20.

but, if you mean

[tex] \frac{3}{5x} = 12[/tex]

then the answer would be, x = 1/20.

4) Answer:

[tex]y = \frac{5}{7} [/tex]

5) If you mean,

[tex] \frac{14}{3} = - \frac{7}{9b} [/tex]

then the answer would be, b = -1/6

but if you mean,

[tex] \frac{14}{3} = - \frac{7}{9} b[/tex]

then the answer would be, b = -6

Braden logged 3 2/3 hours last week in his reading journal and 2 3/6 hours last week how many fewer hours did Brayden log in his reading journal this week then last week​

Answers

Answer:

1 1/6

Step-by-step explanation:

im guessing you need this fast so i wont explain it

Harold is designing a patio with congruent square concrete tiles. He has 72 tiles. Use grid paper to model all the possible rectangular patios Harold could build. Label the dimensions in units. Which patio has the greatest perimeter? The least perimeter?

Answers

Answer:

(a) The possible dimensions are:

1 unit by 72 units;  2 units by 36 units;  3 units  by 24 units; 4 units by 18 units; 6 units by 12 units; 8 units by 9 units

(b): Patio with greatest and the least perimeter

The dimension with the greatest perimeter is: 1 by 72

The dimension with the least perimeter is: 8 by 9

Step-by-step explanation:

Given

[tex]Tiles = 72[/tex]

Solving (a): Possible rectangular models

To do this, we simply list out the possible factor pairs of 72.

So, we have:

1 unit by 72 units;  2 units by 36 units;  3 units  by 24 units; 4 units by 18 units; 6 units by 12 units; 8 units by 9 units

Solving (a): Models with the least and the greatest perimeter

Perimeter (P) is calculated using:

[tex]P = 2 * (L + W)[/tex]

So:

1 unit by 72 units;  

[tex]P = 2 *(1 + 72) = 146 units[/tex]

2 units by 36 units;  

[tex]P = 2 *(2 + 36) = 76 units[/tex]

3 units by 24 units;

[tex]P = 2 *(3 + 24) = 54 units[/tex]

4 units by 18 units;

[tex]P = 2 *(4 + 18) = 44 units[/tex]

6 units by 12 units;

[tex]P = 2 *(6 + 12) = 36 units[/tex]

8 units by 9 units

[tex]P = 2 *(8 + 9) = 34 units[/tex]

From the calculations above:

The dimension with the greatest perimeter is: 1 by 72

The dimension with the least perimeter is: 8 by 9

Fill in the blanks. (With picture) 15 pts

(Simplify your answers. Use integers or fractions for any numbers in the expressions.

Answers

Given:

The expression is:

[tex]\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)=\left(\_\_\_+\dfrac{1}{19}n\right)+\left(-8+\_\_\_\right)[/tex]

                                          [tex]=\_\_\_n+\_\_\_[/tex]

To find:

The missing values.

Solution:

We have,

[tex]\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)[/tex]

It can be written as

[tex]\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)=\left(\dfrac{11}{19}n+\dfrac{1}{19}n\right)+\left(-8+10\right)[/tex]

So, the values for the first two boxes are [tex]\dfrac{11}{19}n[/tex] and 10 respectively.

On simplification, we get

[tex]\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)=\left(\dfrac{11+1}{19}n\right)+\left(2\right)[/tex]

[tex]\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)=\dfrac{12}{19}n+2[/tex]

So, the values for third and fourth boxes are [tex]\dfrac{12}{19}[/tex] and 2 respectively.

Solve for x, rounding to the nearest hundredth.
2^4x = 36

Answers

Answer:

5/4

Step-by-step explanation:

36 is the 5tf power of 2 so we can rewrite the equation as

[tex] {2}^{4x} = {2}^{5} [/tex]

Since the expressions has same base the powers must be equal to

4x = 5 and x = 5/4

If the triangles are similar, what is the value of x? AlternativeText A. x = 16 B. x = 38 C. x = 42 D. x = 54

Answers

Answer: D. x = 54

Step-by-step explanation:

A gym charges an initial fee plus $25 per month. John paid $200 for six months. Assume the relationship is linear.

a.What is the rate of change and what does it mean in context to the situation?
b. What is the initial value and what does it mean and context to the situation?

i will give brainliest!!!!!

Answers

Step-by-step explanation:

a. The rate of change is $33.33 per month

200/6 = approximately $33.33 per month

This means that in addition to the initial fee, Josh has to pay $33.33 per month for the gym membership.

b. The initial value is $25. This is a constant value and a one time fee to open and attain a gym membership.

Which shows 8 × 22 rewritten using the Distributive Property?

Answers

8*22 = 22*8

Hope this helps!

Kiran has $100 saved in a bank account. (The account doesn’t earn interest.) He asked Clare to help him figure out how much he could take out each month if he needs to have at least $25 in the account a year from now.

Answers

the answer would be 650

He could take out $6.25 for each month and at the end $25 also left in his account.

What is an expression?

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the data given in the question,

The total amount Kiran is having in the bank = $100

He needs to have at least $25 in the account at the end of the year.

So, the money he can spend in a year = $100 - $25 = $75

1 year = 12 months

So, the amount of money spent per month will be,

75/12 = $6.25

To know more about expression:

https://brainly.com/question/14083225

#SPJ2

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