SOMEONE PLEASE HELP AND SHOW WORK i will give you brainliest!
Katy invests a total of $26,500 in two accounts. The first account earned a rate of return of 15% (after a year). However, the second account suffered a 8% loss in the same time period. At the end of one year, the total amount of money gained was $985.00. How much was invested into each account?

Answers

Answer 1

Answer:

Step-by-step explanation:

0.15x-0.08(26,500-x)=98.00

15x-212000+8x=98,500

23x+212000=98,500+212000

23x/23= 310500/23

x = 13500 (was invested in the account that gained 15% )

26500-13500=13000 (was invested in the account that lost 8%.)


Related Questions

What is the slope of this line?

Answers

Step-by-step explanation:

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

Answer:

slope = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (7, 5) and (x₂, y₂ ) = (3, 2) ← points on graph

m = [tex]\frac{2-5}{3-7}[/tex] = [tex]\frac{-3}{-4}[/tex] = [tex]\frac{3}{4}[/tex]

1. Vinay applied the distributive property to the equation -5(m - 2) - 25. His equation then became --5m + 10 = -125. Did he apply the distributive property correctly?
Explain
Yes. When using the distributive property you need to multiply all the terms in the equation by the number that is in front of the parentheses.
No. The product of -5 and 25 is 125, not - 125.
No. Vinay also multiplied the right-hand side of the equation by --5, which is incorrect.
Yes. Vinay multiplied the terms on the left-hand side of the equation by -5, which is what you are supposed to do.

Answers

Answer:

C. No. Vinay also multiplied the right-hand side of the equation by --5, which is incorrect.

Step-by-step explanation:

Proper application of the property:

- 5(m - 2) - 25 = -5m - 5(-2) - 25 = -5m + 10 - 25 = -5m - 15

Vinay multiplied 5 and 25 as well, which is incorrect.

Correct answer choice is C.

pls answer quick!!! i'll give brainliest if right!

Answers

Answer:

Step-by-step explanation:

$0.11

per ounce

1.32/12=0.11!!

Answer:   1.21

Since we know that $1.32 is 12 ounces all we need to do is figure out how much is in each ounce which is "0.11", so this means for each unit equals to "0.11" so

0.11 x 11=1.21 ounces            Good luck!

The volume of the above cylinder is 21m find the radius of the circular end

Answers

Answer:

0.75m

Step-by-step explanation:

The volume of a prism is:

the area of the cross section × length

In this case the cross section is the circle so the formula is

v = πr²h

volume = 21m³

height or length = 12m

Sub in the values:

21 = πr² × 12

1.75 = πr² (I divided both sides by 12)

0.5570423008 = r² (I divided both sides by π)

r = 0.74635... (I square rooted both sides)

r ≈ 0.75m (to 2 d.p)

Janine's mom purchases six umbrellas for a total cost of $37. She has a coupon, which will save her 25 percent. In
order to determine her new fotal, she needs to take 0.25 of 37 to find her savings. How much will she save with her
coupon? What will her new total be?

Answers

Answer:

27.75$

Step-by-step explanation:

37-----100%

x-------25%

x=(25×37)÷100

x=9.25

total = 37-9.25=27.75

her new total will be 27.75$

jada has $20 to spend on games and rides at a carnival. Games cost $1 each and rides are $2 each.

which equation represents the relationship between the number of games, x , and the number of rides, y,
that Jada could do if she spends all her money?
A: x + y =20
B: 22 + 4 = 20
C: 0+2y=20

Answers

Answer:

I believe its A

Step-by-step explanation:

Hope it helps

The answer is a :)) hope this helps

Shannon swam 100 meters in 56.24 seconds. Rick swam 100 meters
in 59.48 seconds. Rick took how many seconds longer to swim
100 meters than Shannon?


I’m kinda in a rush anyone mind helping?

Answers

Answer:

find the difference between the two times by subtracting them;

59.48-56.24= 3.24 seconds

Step-by-step explanation:

Andy is hanging wallpaper in his kitchen. He is able to cover 2/2 fifths of the walls in the room using 6 rolls of wallpaper. What is the number of rolls of paper used per wall?
The number of rolls per wall is????

Answers

Answer:

8

Step-by-step explanation:

to be honest tho I don't even know

Do u think temperature and pressure have any effect on gasses ​

Answers

Answer:

Gay Lussac's Law - states that the pressure of a given amount of gas held at constant volume is directly proportional to the Kelvin temperature. If you heat a gas you give the molecules more energy so they move faster. This means more impacts on the walls of the container and an increase in the pressure.

Step-by-step explanation: An increase in the number of gas molecules in the same volume container increases pressure. A decrease in container volume increases gas pressure. An increase in temperature of a gas in a rigid container increases the pressure

Answer:

yes I think that temperature makes it hotter or

colder depending on the temperature of it or the surroundings and the pressure I don't honestly don't think it effects them

×/2=y/3; y/4=z/4 và x+2y-z=10

Answers

Answer:

Step-by-step explanation:

[tex]\dfrac{x}{2}=\dfrac{y}{3}\\\\[/tex]

Cross multiply,

3x = 2y    ------------(I)

[tex]\dfrac{y}{4}=\dfrac{z}{4}\\\\4*\dfrac{y}{4}=\dfrac{z}{4}*4\\\\y=z[/tex]

y = z --------------(II)

Plugin y =z in (I)

3x = 2z

3x/2 = z  ----------------(III)

x + 2y - z = 10

From (I) and (III)

[tex]x + 3x - \dfrac{3x}{2}=10\\\\4x - \dfrac{3x}{2}=10\\\\Multiply \ the \ entire \ equation \ by \ 2\\\\2*4x - 2*\dfrac{3x}{2}=10*2\\\\8x - 3x = 20\\\\5x = 20[/tex]

Divide both sides by 5

x = 20/5

x = 4

Plugin x = 4 in (I)

3*4=2y

12 = 2y

2y = 12

y = 12/2

y  = 6

z = y

z = 6

Help!! Anyone? Don’t give answer that is gibberish just so you can earn points

Answers

Answer:

I am not sure but this is what I got

Step-by-step explanation:

1/3, 1/4, 2/5are the fractions. when we find the LCM= 60

the fractions become 20/60, 15/60 and 24/60

add all of them we get 59/60

total = 60/60

total -used part of cake = unused part of cake

60/60 - 59/60 = 1/60

hope it helps :) pls check if there are any mistakes

After a 25% discount the price of a T shirt was $12 what was the price before the discount?

Answers

Answer:The price before the discount is $ 16The population last year is 5280Solution:B) After a 25% discount, the price of a T-shirt was $12.

Step-by-step explanation:G

Answer:

$16

Step-by-step explanation:

25% is equal to 1/4.

1/4 of 16 is 4.

so if you subtract 4 from 16, it equals 12.

have a lovely day <3

What is the slope of the line passing through the points (6, 7) and (1, 5)?

Answers

Answer: it’s a fraction and it’s 2/5

Step-by-step explanation:

The slope is 2/5, 5-7 divided by 1-6=2/5

hey can someone please help me with this

Answers

Answer:

no

Step-by-step explanation:

Which statement is true?
A.
0.77 < 0.770
B.
15.04 = 15.40
C.
50.6 = 50.600
D.
1.249 > 1.942

Answers

Answer:

C is the correct answer

Step-by-step explanation:

50.6 and 50.600 are mathematically the same thing. Adding zeros at the end of a decimal does not increase its amount in this case.

Answer:

C

Step-by-step explanation:

50.6 is the same as 50.600

Doug entered a canoe race. He rowed 3 ½ miles in ½ hour. What is his average speed in miles per hour

Answers

Answer:

7 miles per hour

Step-by-step explanation:

3.5 times 2.

please help me, thank you! :)

Answers

Answer:

x=-4

Step-by-step explanation:

2(x+6)=4

2x+12=4

2x=4-12

2x=-8

x=-4

Answer:

x = -4

Step-by-step explanation:

First distribute 2 among everything in the parentheses. So now you'll have 2x + 12 = 4

Next subtract 12 on both sides to get -8.

Lastly divide 2 on both sides to get x = -4

Hope this helps :)

If the probability for an event is 1/6, what would that be as a percent rounded to the nearest tenth?

Answers

Answer:

0.070

Step-by-step explanation:

i think

can someone please help me as soon as possible​

Answers

A. Quadratic B. Linear

The area of a rectangular field is 3400 m² and its length is 68 m. Find-
(i) its breadth.
(ii) the distance covered by a man in going 5 times around the field.​

Answers

here is the answer hope it help you

breadth is 50mDistance covered

If the perimeter of the rectangular field is 236, the distance covered by the man is 236* 5 = 1180

solve for f. f-(-4)=-1

Answers

Answer:

f-(-4)=-1

f+4=-1

f+4-4=-1-4

f=-5

Step-by-step explanation:


All cross-sectional shapes that are parallel or perpendicular to one of the
bases of a?
are also congruent to one another.
A. cube
B. polygon
C. prisma
D. pyramid

Answers

All cross-sectional shapes that are parallel or perpendicular to one of the bases of a Cube.

What is cross-section?

A cross section in mathematics is the illustration of the intersection of an entity by a plane.

In a cube, all the faces which is parallel or perpendicular to one of the faces are congruent to one another.

So, out of all cross-sectional shapes that are parallel or perpendicular to one of the bases of a Cube, are also congruent to one another.

Hence, the cross-sectional shapes that are parallel or perpendicular to one of the bases of a Cube.

Learn more about cross-sections, click;

https://brainly.com/question/15541891

#SPJ5

A container manufacturing company was contracted to design and manufacture cylindrical cans for fruit juice. The volume of each can needs to be 0.946 liters. In order to minimize production costs, the company wishes to design cans that require the smallest amount of material possible. (This means that you need to design a can with volume=.946 liters and the smallest possible surface area. Explain the relationship between the surface area and the amount of material.)

Answers

The volume of the cylinder is the amount of fruit juice it can contain.

The relationship between the volume and the surface area is:

[tex]\mathbf{A = \pi (\sqrt[3]{\frac{V}{2\pi}})^2 + \frac{0.946}{(\sqrt[3]{\frac{V}{2\pi}})}}[/tex]

The given parameter is:

[tex]\mathbf{V = 0.946}[/tex]

The volume of a cylinder is calculated as:

[tex]\mathbf{V = \pi r^2 h}[/tex]

Make h the subject

[tex]\mathbf{h = \frac{V}{ \pi r^2}}[/tex]

The surface area (A) of a cylinder is:

[tex]\mathbf{A = \pi r^2 + \pi rh}[/tex]

Substitute [tex]\mathbf{h = \frac{V}{ \pi r^2}}[/tex]

[tex]\mathbf{A = \pi r^2 + \pi r \times \frac{V}{\pi r^2}}[/tex]

[tex]\mathbf{A = \pi r^2 + \frac{V}{r}}[/tex]

Differentiate

[tex]\mathbf{A' = 2\pi r - Vr^{-2}}[/tex]

Set to 0

[tex]\mathbf{2\pi r - Vr^{-2} = 0}[/tex]

Rewrite as:

[tex]\mathbf{ 2\pi r = Vr^{-2}}[/tex]

Multiply through by r^2

[tex]\mathbf{ 2\pi r^3 = V}[/tex]

Solve for r

[tex]\mathbf{r = \sqrt[3]{\frac{V}{2\pi}}}[/tex]

[tex]\mathbf{A = \pi r^2 + \frac{0.946}{r}}[/tex]

So, we have:

[tex]\mathbf{A = \pi (\sqrt[3]{\frac{V}{2\pi}})^2 + \frac{0.946}{(\sqrt[3]{\frac{V}{2\pi}})}}[/tex]

Hence, the relationship between the volume and the surface area is:

[tex]\mathbf{A = \pi (\sqrt[3]{\frac{V}{2\pi}})^2 + \frac{0.946}{(\sqrt[3]{\frac{V}{2\pi}})}}[/tex]

Read more about surface areas and volumes at:

https://brainly.com/question/3628550

A metal strip is being installed around a rectangular workbench that is 8 feet long and 4 feet wide. If the stripping costs ​$4 per​ foot, find the total cost of the stripping.

Answers

Answer:

$144

Step-by-step explanation:

Length*Width*Price

12*3 = 36

36*4 = 144

$144

asap po please thank you po!

Answers

Answer:

Step-by-step explanation:

2.  Should be 500

8.  Should be 290

The rest are correct

Answer:

1. 100 good job

2. 500 round to the nearest hundred either 400 or 500. 500 is closer.

3. 9,000 good job

4. 7,800 good job

5. 250 good job

6. 4,000 good job

7. 6,800 good job

8. 290 round to the nearest 10 either 290 or 300 290 is closer

9. 400 good job

10. 8,000 good job

Step-by-step explanation:

Rounding to the nearest number is up at 5 and below for 4 and less. The same concept applies to larger numbers.

Two people wrote a book together. They agreed to share the royalties so that the senior author received twice as much as the
junior author. What is each author's share of a $2400 royalty check?

Answers

Answer:

Junior author = $800

Senior author = $1600

Step-by-step explanation:

The check is split between the senior author and junior author in the ratio of 2:1

2:1 = $2400

Add the ratios together:

2 + 1 = 3

3 parts = $2400

Find one part of the total check by dividing both sides by 3:

1 part = $800

The junior author would get $800, and the senior author would get double, $1600

Which of the following systems of inequalities has no solution?

Answers

Answer:

c

Step-by-step explanation:

See the attached graph.  There's no overlap between the two individual solution sets.

What is the function form of:
8x + 2y = -2
y = ?

Answers

Answer:

-4x-1

Step-by-step explanation:

-4x-1

2 root 5 x 5 root 5 sgsvbhmdhmcbjkd jklcdvncbcbxcvzbvk

Answers

Answer:

ummm?

Step-by-step explanation:

Answer:

Something

Step-by-step explanation:

I have no idea what u just asked

Sarah's Volleyball team won 12 out of 14 games if this rate continues, how many games will they win if they play a total of 21 games

Answers

Answer:

18 games

Step-by-step explanation:

If Sarah's Volleyball team won 12 out of 14 games, then their win rate is 12/14. You can simplify this fraction down to 6/7 to make it easier, but you don't have to.

If they keep the same rate of 6/7 (6 wins for every 7 games they win), you multiply the rate by the total games to get the number of wins. wins/games (rate) x total games = total wins, so 6/7 x 21 = 18.

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