Fatima invests a total of $29,000 in two accounts. The first account earned a rate of return of 11%. However, the second account suffered a 7% loss in the same period. At the end of one year, the total of money gained was $1,570.00. How much was invested into each account?

Answers

Answer 1

Step-by-step explanation:

given data:

gained = $1,570

amount invested = $29,000

0.11x – 0.07( $29,000 – x ) = 1540

0.11x – ( 2030 – 0.07x ) = 1540

0.11x + 0.07 = 1540 +2030

0.18x = 3570

divide both sides by 0.18

x = 19833.33 ( amount invested at 11%.

$29,000 – 19833.33

= $9166.7 ( amount invested at 7%)


Related Questions

Will hand out brainliest to the best answer! (+100 pts)

Answers

Answer:

6

Step-by-step explanation:

If the x is 2 in f(x) the answer should be 6 according to your table.

Answer:

6

Step-by-step explanation:

if the X is to in f(x) answerr will be 6 according to your table

A cubic function is stretched by a factor of 0.4, opening downward and
shifted 10 units down and 5 units left.

Answers

Answer:

the answer is in the link

Step-by-step explanation:

https

      bxaha zshkkkvxxxkvvvvwuqgceuuuegieg   DONT KNO

the height of one mountain is 199 yards. Another mountain is 6 times as tall.
What is the height of the second mountain?

Answers

Answer:

1194

Step-by-step explanation:

because 199 is the height of the first mountain so just times that number by 6 to get the second mountains height.

Answer this problem
-3+(-2)​

Answers

Answer:

-5

Explaination:

Because -3-2 is -5.

The answer is -5, because you are adding two negatives, the sign stays the same.

PLEASE PLEASE HELP!!!!WILL MARK BRAINLIEST

Answers

Ok so it's lemon juice to sugar. I seen one that is 1:1 (1 juice to 1 sugar) do the 2nd lowest juice to sugar after this and keep going till the last ratio.

Please help me solve this problem!! I WILL GIVE YOU BRAINLIEST!
(Algebra 1)
m≥5m-4

Answers

Answer:

m≤1

Step-by-step explanation:

Move the variable to the left,

m-5m≥-4

Collect like terms so you would have,

-4m≥-4

Then divide and switch the sign because you divided,

m≤1

2. Find m 21.
(1 point)
339
579
21
O 147°
123°
90°
57°

Answers

Answer:

90°

Step-by-step explanation:

33+57=90

180-90=90

Aline's

y -intercept

is 10, and its slope is 9

. What

is its equation in

slope -intercept

form?


Write your answer using integers, proper fractions, and improper fractions in simplest form.


y = x +

Answers

10 the m is the slope so 9 and the b is the y intercept (10)

WILL MARK BRAINLIEST
linear equations and systems:
The HHS band sold 250 dinners at a barbeque a child's plate cost $3.50 and a adult plate cost $7.00 a total of $1347.50 was collected how many adult plates are served

Answers

Answer:

There were 135 adults that were served.

Step-by-step explanation:

Let's use c for child's cost and a for adult's cost.

The total amount is 1347.50. With this, we can create an equation to solve for adults.

a + c = 250

3.50c + 7a = 1347.50

Using system of equations, we can plug in values to get our answer.

c = 250 - a

3.50(250 - a) + 7a =

875 - 3.5a + 7a =

3.5a = 472.5

135 = a

115 = c (when you plug a into the equations)

There were 135 adults that were served.

Answer:

135

Step-by-step explanation:

x = number of child's plate

y= number of adult's plate

x+y=250 => 1

3.50x+7y=1347.50 => 2

Multiplying equation 1 by 3.50,

3.50x+3.50y=875 =>

Subtracting equation 3 from equation 2,

3.50x +7y - 3.50x - 3.50y = 1347.50 - 875

3.50y = 472.50

y= 135

I’m not very great a math and I’m a bit rush so yeah

Answers

Answer:

y=1/10x -9

Step-by-step explanation:

slope intercept formula -  y=mx+b

1/10 x i apologize if the answer is wrong but i hope this helped!

7(x−5)−9=334 what is the answer of x

Answers

Answer:

[tex]\boxed {x = 54}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]7(x - 5) - 9 = 334[/tex]

-Use Distributive Property:

[tex]7(x - 5) - 9 = 334[/tex]

[tex]7x - 35 - 9 = 334[/tex]

-Combine like terms:

[tex]7x - 35 - 9 = 334[/tex]

[tex]7x - 44 = 334[/tex]

-Add both sides by [tex]44[/tex]:

[tex]7x - 44 + 44 = 334 + 44[/tex]

[tex]7x = 378[/tex]

-Divide both sides by [tex]7[/tex]:

[tex]\frac{7x}{7}= \frac{378}{7}[/tex]

[tex]\boxed {x = 54}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]54[/tex].

Ella purchased a game that was on sale for 12% off. The sales tax in her county is 6%. Let y represent the original price of the game. Write an expression that can be used to determine the final cost of the game.

A y − 0.12y

B 0.06(0.88y)

C 1.06(0.88y)

D y − 0.88y + 0.06y

Answers

Answer:

The expression that can be used to determine the final cost of the game is

1.06(0.88 y) ⇒ (C)

Step-by-step explanation:

If the price of an item is discounted, that mean its new price will be less its initial priceThe taxes on item, makes its new price greater than the initial price because tax is add

Let us solve the problem

∵ Ella purchased a game that was on sale for 12% off

→ That means the new price will (100% - 12%) of the initial price

∵ y represented the initial price of the game

→ Multiply y by (100% - 12%) to get the new price

∴ The new price = y (100% - 12%)

∴ The new price = y (88%)

→ Change 88% to normal number by divide it by 100

∴ The new price = y ([tex]\frac{88}{100}[/tex])

The new price = 0.88 y

∵ The sales tax in her county is 6%

→ That means the final cost will be (100% + 6%) of 0.88 y

∴ The final cost = (100% + 6%) × (0.88 y)

∴ The final cost = 106% × (0.88 y)

→ Change 106% to normal number by divide it by 100

∴ The final cost = [tex]\frac{106}{100}[/tex] × (0.88 y)

The final cost = 1.06(0.88 y)

The expression that can be used to determine the final cost of the game is 1.06(0.88 y)

Answer:

C. 1.06(0.88y)

Step-by-step explanation:


Find the slope of the line.

The slope of the line is =

(Simplify your answer. Type an integer or a fraction.

Answers

the slope is -2/3

using rise over run it would be -4/6 then simplified to -2/3

cghmfhjvghvjvhjvhjvgnmvgvhvgmvgnmvg i need answer

Answers

1.)17.32 which would round to 17.3(to find mean you add up all the numbers in the data set then divide by how many numbers there are)

2.)22(mode is the number that is repeated the most in a data set)

A box of crayons costs $1.75, including tax. Mr. Valentino wants to purchase boxes of crayons for his class and has a $25 budget. Write an inequality to solve for the number of boxes of crayons Mr. Valentino can purchase.
NEED HELP PLZZZ :( WILL GIVE BRAINIEST IF RIGHT
A $1.75x ≤ $25
B $1.75x ≥ $25
C $25x ≤ $1.75
D $25x ≥ $1.75

Answers

Answer:

A ) $1.75 x  ≤ $25

Step-by-step explanation:

the cost of x boxes of crayons = 1.75x dollars

If there is a budget of only $ 25,

So, the cost of x boxes of crayons ≤ $25

Answer:

Since his budget is 25, it's less than or equal to ( ≤ 25). That means your answer would be A  $1.75x ≤ $25 because 1.75 times the amount of crayons can't go over the $25 budget.

At an opening of a new art gallery, the owner hired a caterer to serve light snacks. The owner created a budget for 150 people to attend the opening, with a per person food cost of $4.25. If the number of guests attending the opening was 56% more than expected, then how much was the final food cost?


$234.00
$357.00
$637.50
$994.50

Answers

Answer: $994.50

Step-by-step explanation:

From the question, we are informed that the owner created a budget for 150 people to attend the opening, with a per person food cost of $4.25. This means that the total cost to cater for the 150 people will be:

= 150 × $4.25

= $637.5

We are further told that the number of guests attending the opening was 56% more than expected, then the final food cost will be represented by:

= $637.5 + (56% × $637.5)

= $637.5 + (0.56 × $637.5)

= $637.5 + $357

= $994.50

5a+12 = 9A-12

Can anybody help me ?

Answers

Answer:

a=6

Step-by-step explanation:

5x+12=9x-12

5x+12-12=9x-12-12

5x=9x-24

5x-9x=9x-24-9x

-4x=-24

-24/-4

x=6

Answer: 12 + 5a = 9a + -12

Reorder the terms:

12 + 5a = -12 + 9a

Solving

12 + 5a = -12 + 9a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-9a' to each side of the equation.

12 + 5a + -9a = -12 + 9a + -9a

Combine like terms: 5a + -9a = -4a

12 + -4a = -12 + 9a + -9a

Combine like terms: 9a + -9a = 0

12 + -4a = -12 + 0

12 + -4a = -12

Add '-12' to each side of the equation.

12 + -12 + -4a = -12 + -12

Combine like terms: 12 + -12 = 0

0 + -4a = -12 + -12

-4a = -12 + -12

Combine like terms: -12 + -12 = -24

-4a = -24

Divide each side by '-4'.

a = 6

Simplifying

a = 6

Step-by-step explanation: found it off of google

Jackson Elementary School ordered 25 pizzas for an awards ceremony. At the end of the day, the principal found 8 1/4 pepperoni pizzas and 7 3/4 sausage pizzas left over. What is a reasonable estimate for the number of pizzas the students ate at the awards ceremony?

Answers

Answer: 9 pizzas

Step-by-step explanation:

From the question, we are informed that Jackson Elementary School ordered 25 pizzas for an awards ceremony and at the end of the day, the principal found 8 1/4 pepperoni pizzas and 7 3/4 sausage pizzas left over.

A reasonable estimate for the number of pizzas the students ate at the awards ceremony will be:

= 25 - (8 1/4 + 7 3/4)

= 25 - 16

= 9 pizzas

Write an expression for: The sum of 5 times a number and twice a number is 42.

Answers

Answer:

42

Step-by-step explanation:

5x5=40  ---->  40+2=42

Use the Distributive Property to simplify 17(2b + 3)​

Answers

the answer is 34b + 51

Answer:

34b+51

Step-by-step explanation:

When you distribute, you multiply the number on the outside of the parentheses by everything inside of the parentheses. So...

17(2b+3)​

34b+51

Because you can't tell what x is, this is the most simplifying you can do.

Hopefully this helped you out...have an amazing day :3

1.which of the following would save more fuel?
a.Replacing a compact car that gets 34 per gallon(mpg)with a hybrid that gets 54 mpg
b.Replacing a sport utility(SUV)that gets 18 mpg with a sedan that gets 28 mpg
c.Both changes would save the same amount of fuel.
2.Explain your reasoning for your choice.

Answers

9514 1404 393

Answer:

  1. b

  2. For each 1000 miles driven, (a) saves 10.9 gallons, while (b) saves 19.8 gallons

Step-by-step explanation:

The fuel savings will depend on the miles driven. If we use 1000 miles as the reference, the various vehicle fuel usages are ...

  gallons = miles/(miles/gallon)

  18 mpg: 1000/18 = 55.6 gallons

  28 mpg: 1000/28 = 35.7 gallons

  34 mpg: 1000/34 = 29.4 gallons

  54 mpg: 1000/54 = 18.5 gallons

So, ...

  replacing 34 mpg with 54 mpg saves 29.4 -18.5 = 10.9 gallons.

  replacing 18 mpg with 28 mpg saves 55.6 -35.7 ≈ 19.8 gallons.

Replacing the SUV with a sedan saves more fuel, assuming all vehicles are driven the same distance.

__

The fuel use reduction from 18 mpg to 28 mpg is about 36%, whereas from 34 mpg to 54 mpg. the reduction is about 37%. The SUV replacement is a better choice because the smaller fraction of a much larger fuel use is still more savings than obtained by replacing the compact car.

Casey bought 3/8 pound of plums and 5/12 pound of bananas. How many pounds of fruit did he buy?

Answers

Answer:

19/24 pounds

Step-by-step explanation:

To find the total number of pounds, we should add 3/8 and 5/12. They both have different denominators, so we have to find the least common multiple between 12 and 8. The least common multiple between 12 and 8 is 24. 12 should be multiplied by 2 to get 24 (5 too) and 8 should be multiplied by 3 to get 24 (3 too).

[tex] \frac{3}{8} + \frac{5}{12} [/tex]

[tex] \frac{3 \times 3}{8 \times 3} + \frac{5 \times 2}{12 \times 2} [/tex]

[tex] \frac{9}{24} + \frac{10}{24} [/tex]

[tex] \frac{19}{24} [/tex]

Min Jee wants to build a small patio. It will be 70 inches long and 49 inches wide. She can't decide whether to use brick or concrete paver stones. Each brick covers an area of 3 1/2inches by 7 1/2 inches and costs $0.59. Each paver covers an area 8.4 inches by 8.4 inches and costs $1.88. Which would be less expensive to use, and by how much?

Answers

Step-by-step explanation:

firstly, let us solve for the area of the patio, from the information given the patio we have a rectangular orientation.

Area of patio

length=70in

width=49in

Area=70x49

Area=3430in^2

Area of brick

length=7.5in

width=3.5in

Area=7.5x3.5

Area=26.25in^2

Amount of brick needed =3430/26.25

Amount of brick needed =130.66

The Total cost of brick=130.66x0.59

The Total cost of brick=$77.09

Area of paver

length=8.4in

width=8.4in

Area=8.4x8.4

Area=70.56in^2

Amount of brick needed =3430/70.56

Amount of brick needed =48.61

The Total cost of brick=48.61x1.88

The Total cost of brick=$91.38

Brick would be less expensive by =91.38-77.09= $14.29

Which values of a, b, and c correctly represent the answer in simplest form? PLEASE HELP I AM BEING TIMED TRYING TO HELP OUT MY LITTLE SISTER, I WILL MARK BRAINLIEST!!!!!!!!!
4 1/2 division sign 1 1/4 = a b/c?

A. a=3, b=6, c=10
B. a=3, b= 3, c=5
C. a= 5, b= 3, c=3
D. a=10, b=6, c=

Answers

[tex]4 \frac{1}{2} \div 1 \frac{1}{4} [/tex]

[tex] \frac{9}{2} \div \frac{5}{4} [/tex]

[tex] \frac{9}{2} \times \frac{4}{5} [/tex]

[tex] \frac{36}{10} [/tex]

[tex] \frac{36}{10} \: as \: a \: mixed \: fraction \ \: : [/tex]

[tex]3 \frac{6}{10} [/tex]

In place of A , 3 is there , in place of B , 6 is there and in place of C , 10 is there .

Therefore , the correct option is :-

[tex]A. a = 3 , b = 6 , c = 10

[/tex]

Determine the distance from point (2,4) to (4,-2) Plz help asap

Answers

Answer:

Step-by-step explanation:

find the value of x (PLEASE HELP THIS IS a 40 point question)

Answers

Answer:

x=40°

Step-by-step explanation:

We have an isosceles triangle RST where the sides RS and ST are congruent, i.e. they have the same length.

One property of isosceles triangles is that the congruent sides form congruent angles with the other side. In other words, the measures of angles R and T are equal.

The sum of the measures of angles R, S, and T is 180°:

[tex]m\angle R+m\angle S+m\angle T =180^\circ[/tex]

Since [tex]m\angle R=2x-10[/tex] , [tex]m\angle T=m\angle R[/tex] and [tex]m\angle S=x[/tex]:

2x-10+x+2x-10 =180

Simplifying:

5x=180+20

Solving:

x=200/5

x=40°

4x - 5y = 10 solve for y=mx+b​

Answers

-5y = 10 - 4x

y = - 10 - 4x over 5

y = - 2(5 - 2x) over 5

hopefully this is correct

The tables given are for the linear functions f(x) and g(x). What is the input value for which f(x)=g(x) is true?

x=____

Answers

-1, it's fairly clear just from the table...

Answer:

-1

Step-by-step explanation:

Bus A and Bus B leave the bus depot at 9 am. Bus A takes 30 minutes to complete its route once and bus B takes 40 minutes to complete its route once. If both buses continue to repeat their route, at what time will they be back at the bus depot together?

Answers

Answer:

11 am

Step-by-step explanation:

Bus A and Bus B leave the bus depot at 9 am.

Bus A takes 30 minutes to complete its route once

Bus B takes 40 minutes to complete its route once.

We solve this finding the Lowest Common Multiple of the minutes each bus uses to complete it's route

30 = 3 × 10

40 = 4 × 10

= 3 × 4 × 10

= 120 minutes

120 minutes after 9 am is

60 minutes = 1 hour

60 minutes = 1 hour

= 2 hours.

9am + 2 hours

= 11 am.

Therefore, they be back at the bus depot together at 11 am

ASAP HELP ASAP HELPPPP

Answers

Answer:

3 or 2 is the answer to the question

Other Questions
What is the function of the blood-brain barrier?preventing blood loss during injuryO regulating blood flow through the brainO keeping brain blood separate from body bloodO keeping foreign particles out of the brain Help me pleaseeeeeeee Helppp asappp pleaseee. What is the slope of a line perpendicular to the line whose equation is2x y = -8. Fully reduce your answer. HURRY! Please!How do the lights in a series circuit behave when one bulb burns out?O The rest of the bulbs continue to shine at maximum brightness.OThe rest of the bulbs continue to shine at a lower brightness. OThe rest of the bulbs continue to shine at a higher brightness OThe rest of the bulbs stop shining and shut off. Police officers:A.must attend college.B.must attend community college.C.must attend a vocational program.D.must attend the job training provided by the police force. Yall pray for me I'm doing a huge math test 3/2 x -9 = 0 hiiiiiiiii please help :) Read the excerpt from "Pakistans Malala." Malala wondered on her blog if she should adopt a pen name Gul Makai. Meaning corn flower in Urdu, the native language of the region, Gul Makai is a name taken from a character in a Pashtun folk story. It's not well known, but Pashtun experts say the story is a kind of Romeo and Juliet tale. It's a sweet love story laced with tragedy. Based on this excerpt, writing a blog about her experiences allowed Malala to share the locations of secret schools. discuss her opinions on literature. limit who could view her writing. keep her identity a secret if she wanted. He Newsela article "Shelter Dog Protects Owner with Epilepsy" describes Toby as "jumping on Parker, nipping at his mother's hands and trying to herd the family into one room." How does this sentence help develop the idea that Toby was a good choice for Parker? Proposed bills go through committees of Congress members (3 points) The busiest sea route in the world. An animal cell with a 30% salt solution is placed in a beaker with a 20% saltsolution. Which is the correct conclusion if the cell remains in the beaker for anextended period of time? how to solve this it says solve 6! water evaporates from plants by a process known as B. Solve the following Polynomials:1. u + 64 Which of the samples pictured is most likely a nonmetal?A moderately shiny grey mineral.A very shiny silvery mineral.A crystalline yellow mineral.A very shiny golden mineral with many small crystals. Davis used a drawing and a scale factor of 4 to design his triangular yard. The area of the yard is 400 ft. He wants to find the area of the scale drawing. A smaller triangle has an area of x. A larger triangle has an area of 400 feet squared. Davis knows that the original area times the square of the scale factor will equal the enlarged area. What is the area of the scale drawing? (Scale drawing)(Scale factor)2 = Enlarged Area (x)(4)2 = 400 16x = 400 x = What causes day and night? Certain bacteria live in the intestinal tract of other organisms. Which of the following statements describes how these microorganisms help maintain the health of other organisms? A) They produce antibiotics which destroy other microorganisms.B) They decrease the amount of vitamins in the large intestine.C) They purify food as it travels through the digestive system and remove contaminants.D) They metabolize substances and break down food during digestion how does the relationship between Dorothy and the tinman shape Dorothy? help pls xd-