A mother earned ​$8750 from royalties on her cookbook. She set aside​ 20% of this for a down payment on a new home. The balance will be used for her​ son's future education. She invests a portion of the money in a bank certificate of deposit​ (CD account) that earns​ 4% and the remainder in a savings bond that earns​ 7%. If the total interest earned after one year is ​$420​, how much money was invested at each​ rate?

Answers

Answer 1

Answer:

Step-by-step explanation:

The problem statement is not clear regarding which money is invested. We will assume it is the 80% of $8750 that is set aside for future education. That amount is

... 0.80 × $8750 = $7000

If x represents the amount invested at 7%, then the total interest earned is

... (7000 -x)×4% + (x)×7% = 420

... 280 +0.03x = 420

... x = 140/0.03 ≈ 4666.67

$4666.67 was invested at 7%.

$2333.33 was invested at 4%.


Related Questions

find the answer pleasere

Answers

Answer:

b is the answer f(e) gives us b

Maplewood Furniture Store is having a sale on dining room furniture. When a customer purchases a set of dining chairs, a one-time discount of $55 is applied to the total. During the sale, Rhianna buys a set of 6 chairs that match the table she inherited from her grandmother. Rhianna pays $455 in all. Which equation can you use to find the regular cost, c, of each chair? ( ANSWERS 6c - 55 = 455, 55(c - 6) = 455, 55c - 6 = 455, 6(c - 55) = 455,) What is the regular cost of the chair

Answers

The equation used to model the regular cost of each chair at Maplewood Furniture store is given by 6c - 55 = 455

A linear equation is in the form:

y = mx + b;

where y, x are variables, m is the rate of change and b is the y intercept.

Let c represent the regular cost for x chairs. Hence:

c = mx + b

Given that a discount of $55 is applied to the total, hence, b = -55.

Rhianna buys a set of 6 chairs and pays 455, hence:

6c - 55 = 455

6c = 510

c = 85

The equation is given by 6c - 55 = 455 and the regular cost of each chair is $85

Find out more at: https://brainly.com/question/25737132

13,22,31,...
Find the 31st term.
Find the 31st term.

Answers

Answer:

The 31st term is 283

Step-by-step explanation:

The sequence has a common difference therefore, it is an arithmetic sequence

[tex]an = a1 + (n - 1)d[/tex]

a31 = 13 + ( 31-1 ) 9

a31 = 13 + 270

a31 = 283

Last year, a gardening store ordered 8,910 potted plants. This year, they ordered 9,801 potted plants. What is the percent of increase in the number of potted plants ordered annually?

Answers

Answer:

Step-by-step explanation:

100(9801 - 8910)/8910 = 10%

Find the volume in cubic centimeters of a cube with a side length of 5 cm

Answers

Answer:

125 cm3

Step-by-step explanation:

V = l * w * h

V = 5 * 5 * 5

V = 125 cm3

Answer:

125 cm^3

Step-by-step explanation:

To calculate the area of a cube, just do the side length to the power of 3.

5^3=125

At the end of the Crimson Comet's soccer season, Coach Jackson hosted a party for the players. He had 20 players on his team and ordered enough extra large pizzas for each player to eat 3 slices. Extra large pizzas have 10 slices each and cost $17. How much did all the pizzas cost?

Answers

Answer:

correct answer is explained in the picture attached (tap on the image to view it fully)

What is the product of 3.4 × 10−14 and 1.8 × 1028? (5 points)

Answers

Answer:

1874.4

Step-by-step explanation:

First multiply 3.4 and 10

34

Then subtract 14 from 34

24

Then multiply 1.8 by 1028

1850.4

Lastly add 1850.4 and 24

1874.4

Answer:

7.987

Step-by-step explanation:

Just use your head man

Write an equation of the line that passes through a pair of points:
(-5-2). (4,5)

a. y=7/9x-17/9
b. y=7/9x-9/17
c. y=7/9x+17/9
d. y=-7/9x +17/9

Answers

Answer:

y=7/9x+17/9

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-(-2))/(4-(-5))

m=(5+2)/(4+5)

m=7/9

y-y1=m(x-x1)

y-(-2)=7/9(x-(-5))

y+2=7/9(x+5)

y=7/9x+35/9-2

y=7/9x+35/9-18/9

y=7/9x+17/9

What is the area of a rectangle that has side lengths of 7 yard and yard?
10 square yard
18
20
square yard
15
24 square yard
8
square yard

My Progress
Copyright 2021 by Curriculum Associates. All rights reserved. These materials, or any portion thereol, may not be reproduced or shared in any manner without express written consent of Curriculum Associates

Answers

is it like mutiplying and dividing

The area of the rectangle that has side lengths of 7 yards and 3 yards is 21 square yards.

What is the rectangular shape?

Rectangles are quadrilaterals having four equal vertices and parallel sides that are equal to one another.

To find the area of the rectangle that has side lengths of 7 yards and 3 yards, use the formula as described below,

the area of the rectangle = length x width of the rectangle.

Substituting the value of the side lengths to the formula,

The area of the rectangle = 7 x 3

The area of the rectangle = 21 square yards.

Therefore, the area is 21 square yards.

To learn more about the rectangular;

brainly.com/question/21416050

#SPJ7

8/9 write simplified​

Answers

The fraction is already simplified.

Victor buys5/8 kg of prawns each week. How many kilograms of prawns does he buy in 4 weeks?

Answers

Answer:

37/8

Step-by-step explanation:

5/8+32/8

5+32/8

37/8

(–5) + [(–3) + (–2)] = [(–5) + (–2)] + (–3) answer it fast as you can ​

Answers

Ok done. Thank to me :>

Elise works for a company that provides short-term loans to working people
who promise to pay back the loan from their next paycheck. Elise works for a
A. payday lender
B. mortgage bank
C. title company
D. credit union

Answers

The answer to your question is "payday lender"

Elise works for a  payday lender.

What is loans?

A loan is when money is given to another party in exchange for repayment of the loan principal amount plus interest.

As, Elise works for a company that provides short-term loans to working people who promise to pay back the loan from their next paycheck.

So, the pay lender is an  organization that lends money to customers who must pay it back when they receive their next pay.

Hence, Elise works for a  payday lender.

Learn more about this concept here:

https://brainly.com/question/26106234

#SPJ2

A parallelogram is transformed according to the rule (x,y) - (x,y). Which is another way to state the transformation?
A. Ro.90
B. RO, 180
C. R0,270
D. RO,360°

Answers

I think it’s c because R0,270 makes sense

Help me plz it’s number 11 I need this urgent

Answers

Answer:

f = -9

Step-by-step explanation:

3(x)

3(-9)

-27

What is the total holiday debt (no less than $500) that you are trying to pay off and what did you purchase
to accrue (accumulate) that debt?

Answers

Step-by-step explanation:

What is the total holiday debt (no less than $500) that you are trying to pay off and what did you purchase

to accrue (accumulate) that debt?

A nature preserve worker calculates there are 6,000 deer in Sharon Woods Park. She also estimates that 75 more deer die than are born each year.
a. Write a linear function to estimate how many deer will be in the park in x years.
b. Use the linear function to predict how many deer will be in the park in 3 years.
c. In how many years will there be 5,325 deer left in Sharon Woods Park?

Answers

The linear equation used to represent this situation is y = -75x + 6000

A linear equation is in the form:

y = mx + b;

where y, x are variable, m is the slope of the line and b is the y intercept.

Let y represent the amount of deer present in x years. There are 6000 deer presently, hence a = 6000. Also 75 more deer die than are born each year. Hence m = -75.

The linear equation is given by:

y = -75x + 6000

In 3 years:

y = -75(3) + 6000

y = 5775

For there to be 5325 deer:

5325 = -75x + 6000

x = 9 years

Find out more at: https://brainly.com/question/21105092

there are 4 girls who play ping pong after school each girl played exactly three games of ping Pong with each of the other girls how many games of ping Pong with plate altogether

Answers

I’ll assume the question is asking how many games of ping pong the girls played together.

There’s 4 girls who play ping pong after school, each girl played exactly three games.

Each girl played the same amount of ping pong games. 1 girl played three games, 2 girls played six games and so on.
You multiply the number of girls with the amount of ping pong games that each girl played.

4x3=12

It should be 12

There are total 12 games of ping pong with play altogether by girls.

What is mean by Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Total number of girls who play ping pong game after school = 4

And, Each girl play 3 games of ping Pong with each of the other girls.

Now,

Since, Total number of girls = 4

And, Each girl play 3 games of ping Pong with each of the other girls after school.

Hence, Total number of games of ping pong game with play altogether by girls is;

= 4 x 3

= 12

Therefore,

There are total 12 games of ping pong game with play altogether by girls.

Learn more about the multiplication visit:

https://brainly.com/question/2811940

#SPJ5

HELP PLEASE FASTTT !! ANYONE??!

Answers

Answer: The angled line on graphs!

Step-by-step explanation: :)

if you roll a fair 6-sided die 9 times, what is the probability that at least 2 of the rolls come up as a 3 or a 4?

Answers

Using the binomial distribution, it is found that there is a 0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For each die, there are only two possible outcomes, either a 3 or a 4 is rolled, or it is not. The result of a roll is independent of any other roll, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.

In this problem:

There are 9 rolls, hence [tex]n = 9[/tex].Of the six sides, 2 are 3 or 4, hence [tex]p = \frac{2}{6} = 0.3333[/tex]

The desired probability is:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which:

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

Then

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{9,0}.(0.3333)^{0}.(0.6667)^{9} = 0.026[/tex]

[tex]P(X = 1) = C_{9,1}.(0.3333)^{1}.(0.6667)^{8} = 0.117[/tex]

Then:

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.026 + 0.117 = 0.143[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.143 = 0.857[/tex]

0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For more on the binomial distribution, you can check https://brainly.com/question/24863377

How do you solve multistep equations with variables on both sides
of the equals sign?

Answers

5x - 8 = 3x + 12

- 3x -3x

You have to subtract them both.

2x - 8 = 12

Hello hello helppppppppppppp

Answers

Answer:
5 units left and 2 units down

Answer:

the person anove is correct

Step-by-step explanation:

Find three consecutive even integers such that the
sum of the smallest and the largest is 36.

Answers

n= smallest integer

n+2= middle integer

n+4= largest integer

n + n + 4 = 36

2n+ 4 = 36

2n=32

n= 16 which means that the smallest integer is 16

then you substitute it into the equation for the largest integer

n+4=20

16, 18, 20 is the answer

Evaluate 7+4b when b= 3

Answers

Answer:

19

Step-by-step explanation:

7+ 4(3)

7+12= 19

Mark me brainliest!!

The penalty box on a soccer field extends
54 ft from the goal line. The line where a
player gets to take a penalty kick is 12 yards
from the goal line. What is the ratio of the
distance from the goal line and where a
player takes a penalty kick?

Answers

Answer:

I dont know sorry

next time

This shape is broken up into rectangles. What is the area of the
entire shape?

Answers

Answer:

38inch2

Step-by-step explanation:

3inch*2inch+8inch*4inch

=6inch2+32inch2

=38inch2

What happens to the median of the data set
{10, 2, 8, 9, 5, 2, 6} if the number 12 is added to the data set?
A. The median increases by 2.
B. The median decreases by 1.
C. The median does not change.
D. The median increases by 1.

Answers

Answer:

D

Step-by-step explanation:

Median- The average

The average can be found by adding the numbers together and dividing by the amount of numbers, in this case that would be 7. 10+2+8+9+5+2+6=42. 42÷7= 6. So the average before 12 is 6. 42+12 is the total adding that 12 and would equal 54. 54÷8=6.75, averaging out to 7. The average increased by about 1. So, the answer is D.

Answer: D. The median increases by 1.

Step-by-step explanation: This is correct.

Tomika uses 6 1/9 inches of wire to make a necklace and 3 1/3 inches of wire to make a bracelet. How many necklace and bracelet sets can she make if she uses 28 1/3 inches of wire in all?​

Answers

Answer:

3

Step-by-step explanation:

Is the relationship between x and y proportional? Explain.

x y
5 25
6 30
7 35
8 40

Answers

Answer:

yes

Step-by-step explanation:

because

5/25=1/5

6/30=1/5

7/35=1/5

8/40=1/5

plz tag in brainlist...

If a number has 8 as a factor, then both 2 and 4 are factors

Answers

Yes, that is correct because 2 and 4 can both go into 8 making it a factor of the number you are talking about. ANSWER: That is true

Other Questions
For guinea pigs, the allele for short hair (H) is dominant to the allele for long hair (h) and the allele for white claws (C) is dominant to the allele for black claws (c). A male guinea pig is mated with a female guinea pig that is heterozygous for both aforementioned traits. Of all of the offspring have short hair and around half have black claws, what is the most probable genotype of the father who is the first president of usa We went with Mr. Shimerda back to the dugout, wheregrandmother was waiting for me. Before I got into thewagon, he took a book out of his pocket, opened it,and showed me a page with two alphabets, oneEnglish and the other Bohemian. He placed this bookin my grandmother's hands, looked at her entreatingly,and said, with an earnestness which I shall neverforget, "Te-e-ach, te-e-ach my Antonia!"Which theme is best supported by the descriptivedetails in this passage from My Antonia?Many immigrants have limited education.Education is important to Mr. Shimerda.Education is part of the dream of immigrants.Antonia is not a good student. 155 35 x x = ? what did Ganeshman Singh mean when he said history cannot be bent 2. Find 3 rational number between: 1) -5 and -6 2) ( -1/7) and (1/8)i need steps explanation also pls guys Northberg Company is preparing a cash budget for August. The company has $16,000 cash at the beginning of August and anticipates $126,000 in cash receipts and $134,500 in cash payments during August. Northberg Company wants to maintain a minimum cash balance of $15,000. To maintain the $15,000 required balance, during August the company must: Group of answer choices Borrow $15,000. Repay $7,500. Repay $8,500. Borrow $7,500. Borrow $8,500. Higher customer satisfaction and more efficient use of resources are impacts of businesses that operate with a _______a: cost saving motiveb: customer service motivec: efficiency motived: profit motive what is 13.5/10 simplified Calculate the Standard Deviation of the following set of data. 14, 15, 16, 16, 9, 3, 16, 20, 29, 12 Insert the missing number.46 9 142340?138266 The circumference of a circle is 16w.Derive an expression for the area in terms of pi and w Quels produits se vendent typiquement en France, mais se vendent rarement aux tats-Unis.btises de Cambraiproduits au lait crusDpicessantonsgteauxhuile How can beta particles be dangerous to living cells?A. They move fast and penetrate the skin.B. They are very high in energy and can travel through mostmaterials.C. They move slowly but are very large.D. They are very low in energy but remain in the body for a long time. Has anyone ever done an escape room for Alcatraz they can share with me? Find the intensity of the electromagnetic wave described in each case. (a) an electromagnetic wave with a wavelength of 655 nm and a peak electric field magnitude of 1.5 V/m. 0.002984 W/m2 (b) an electromagnetic wave with an angular frequency of 6.5 1018 rad/s and a peak magnetic field magnitude of 1010 T. 1.19366E-6 W/m2 The absolute value inequality equation |2x 1| > 3 will have what type of solution set? You send a team of observers and station one at each machine in your plant. The machinist believes they are studying productivity, while actually they are measuring social interaction between the machinists in order to determine the natural leader. This is an example of Given the arithmetic sequence 2, -7, -16, -25, ..., determine thegeneral term tn. How can we drop eggs the fewest amount of times without breaking it?