Last year, Amy had $20000 to invest. She invested some of it in an account that paid 8% simple interest per year, and she invested the rest in an account that paid 9% simple interest per year. After one year, she received a total of $1690 in interest. How much did she invest in each account?

Answers

Answer 1

Answer:

Amount invested at 8% rate of interest = $11000

Amount invested at 9% rate of interest = $9000

Step-by-step explanation:

Let Amy invested amount in a account with 8% simple interest = $a

Then the interest gained after one year = [tex]\frac{\text{Principal amount}\times \text{Rate of interest}\times \text{Time}}{100}[/tex]

                                                                  = [tex]\frac{a\times 8\times 1}{100}[/tex]

                                                                  = 0.08a

Remaining amount for the investment = $(20000 - a)

Interest earned after one year with rate of interest 9%

= [tex]\frac{(20000-a)\times 9\times 1}{100}[/tex]

= $(1800 - 0.09a)

Total interest earned after 1 year = $1690

0.08a + (1800 - 0.09a) = 1690

1800 - 0.01a = 1690

0.01a = 110

a = $11000

Amount invested at 8% rate of interest = $11000

Amount invested at 9% rate of interest = $(20000 - 11000) = $9000


Related Questions

Help, right answer please :)

Answers

Answer:

d

Step-by-step explanation:

hope this helps

Answer: The answer would be D) x²-12

explanation: Values mentioned in the form of table b are not a function. Option D is correct. Given that, Four functions in the tabulated options are given we have to find the one that is not a function. What are functions? Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable. Here, From observation Function mentioned in Tables A, C and D are proper functions because each of them has a relative and corresponding value of ordinate with respect to the abscissa. While in option B one of the abscissae gives two values of the ordinates but another abscissa relates to a single value. That is why Table in B does not represent the functions. Thus, values mentioned in the form of table b is not a function. Option D is correct.

11/44 as a equivalent fraction

Answers

Answer:

1/4

Step-by-step explanation:

11/44 = 1/4

Divide the numerator and the denominator by 11

11 ÷ 11 / 44 ÷ 11

1/4

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

1/4

Step-by-step explanation:

11/11= 1, 44/11= 4

hey guys I need help for this math problem is about function thanks if you can have a good day

Answers

With my knowledge
C and e are function
Function can have x value repeat
But only one y value

the marked price of a shirt was sh 150 a customer paid sh 135 after being allowed a discount how much was the percentage discount​

Answers

Answer:

The discount is 10%

The difference between the original price and the discounted price is $15

150-135 = 15

[tex]\frac{150}{15} = 10%[/tex]

                                      (Original price)

Discount =   ------------------------------------------------------

                       (Original Price - Discounted Price)

Check your answer:

1) 150 (0.10) = 15

2) 150- 15 = 135

Hope this helps (:

Please rate thanks!

If you answer I’ll make you the brainiest

Answers

Answer:

the second one

Step-by-step explanation:

if it is right pls mark brainliest thanks :)

Find the lateral surface area of prism when the bases are 6 and 2 and the height is 10

Answers

Answer:

160 [tex]cm^{2}[/tex]

Step-by-step explanation:

The lateral surface area is the area of the considered plane side of a given figure or shape. To calculate that of a prism, it is the product of the base of a prism and its height.

Thus for the given prism;

lateral surface area = (perimeter of its base) x height

perimeter of the base = 6 + 6 + 2 + 2

                                     = 16

Lateral surface area of the prism = 16 x 10

                                     = 160 [tex]cm^{2}[/tex]

Therefore, the lateral surface area of the prism is 160 [tex]cm^{2}[/tex].

During her first 6 moths, Susie gained 25% more than her birth weight. If she gained 2 1/2 pounds during this period, how much did she weigh at birth?

Answers

25% = 2.5 pounds
25 x 4 = 100%
2.5 x 4 = 10 pounds :)

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

What is the measure of angle ABD in trapezoid ABCD?

24°
40°
64°
92°

Answers

The answer is 24!!!!!!

the grocery store clerk​

Answers

Answer:

. . .cussed out the customer for being . . . du mb?

Step-by-step explanation:

2.5x - 4 = 41

i do not think it is x=18

Answers

Answer:

x=18

Step-by-step explanation:

you are correct all you do is add the four to 41, which is 44. you then divide 2.5 it equals 18

Answer:

18

Step-by-step explanation:

2.5x - 4 = 41

add 4 to both sides

2.5x = 45

divide both sides by 2.5

x = 18

Hey guys please help if I did this question correct if not can you answer it for me I would give you a Brainliest answer if you answer and that is NO JOKE❤​

Answers

Answer:

Hope this helped :D  Because summation means adding both values. So when we add negative integer, it will be more negative and hence resultant value will be smaller than both the integers.

hat value for the constant, in the equations own below will result in an infinite number ofsolutions?6x+18=h(3x+ 9)A.−2B.−3C. 2D.

Answers

Answer:

The answer is 2.

Step-by-step explanation:

[tex]6x + 18 = h(3x + 9) \\ 2(3x + 9) = h(3x + 9) \\ then \: \\ h = 2[/tex]

Use the graph to fill in the blank with the correct number.

f(0) = ________

Answers

Answer:

55 square feet jsjjjis the answer

please help me with this question

In engineering, equilateral triangles can support the most weight and so are commonly found in the design of bridges and buildings. Equilateral triangles are triangles with three congruent sides and three congruent angles. What are the measures of the angles of an equilateral triangle?​

Answers

Answer:

Hey mate....

Step-by-step explanation:

This is your answer....

Yes, because a equilateral triangle has 3 equal angles. The 3 angles of a triangle equal 180°. So if the angles are all equal in an equilateral triangle, we do 60 times 3 which equals 180°.

hope it helps you,

Mark me as the brainliest.....

Follow me!

Math Is hard please​

Answers

Answer:

60 cubic inches

Step-by-step explanation:

each square is one cubic inch

find the dimensions

height=2 cubic inches

width=5 cubic inches

length=6 cubic inches

finding volume so lenght*width*height, or 2*5*6, which is 60

60 cubic inches

I dont understand what there lookking for i have tried times dividing and adding i just dont know what to do the problem is a word promblem if jo haves 90 cards and june have 40 and then kayla take 30 cards from everyone how much do they have left

Answers

Problem: If Jo has 90 cards and June has 40, then Kayla takes 30 cards from everyone, how many do they have left?

The keyword "takes" or "take away" implies that we are subtracting. If I had 5 cookies, and you took 2 away, I now have 3. Or, 5 - 2 = 3.

Step 1: Subtract 30 cards from Jo and June

Jo = 90 cards

June = 40 cards

90 - 30 = 60 cards (Jo)

40 - 30 = 10 cards (June)

To find how many they have remaining together, you can add the number of cards that Jo has to the number of cards that June has.

Jo = 60 cards

June = 10 cards

In total = 60 + 10 = 70 cards

Hope this helps!! :)

The measure of one angle is thirteen less than five times the measure of another angle. The sum of the measures of the two angles is 140°. Determine the measure of each angle in degrees.

Answers

Answer:

The two angles are 25.5 and 114.5

Step-by-step explanation:

x = measure of one angle

5x - 13 = measure of the other angle {one angle is 13 less than 5 times the other}

x + 5x - 13 = 140 {sum of the two angles is 140}

6x - 13 = 140 {combined like terms}

6x = 153 {added 13 to each side}

x = 25.5 {divided each side by 6}

5x - 13 = 114.5 {substituted 25.5, in for x, into 5x - 13}

The sales revenue goes up from 2018 to 2019 by 5%. The sales revenue in 2018 was $19,800. What was the sales revenue in 2019?

Answers

Answer: $20,790

Step-by-step explanation:

The sales revenue increased by 5% from 2018 to 2019.

The sales revenue that was increased from in 2018 is $19,800 which means that the 2019 sales revenue is 5% more than $19,800.

To find the sales revenue in 2019, do the following:

= 19,800 + (19,800 * 5%)

= 19,800 + 990

= $20,790

Answer:

Yogggurt

Step-by-step explanation:

-54, 432 ÷ (-12) =. I need help:))))

Answers

Answer:

4536

Step-by-step explanation:

yes

Determine the intercepts of the line.
y-intercept:
x-intercept:
y
1
0.8
0.6-
0.44
0.2
x

+
0.2
0.6
2.4
-0.8
0.8
-0.6 -0.4 -0.2
-0.2-
-0.47
-0.6
-0.8

Answers

Answer:

y-intercept= (0, 0.4)

x-intercept = (0.3, 0)

Step-by-step explanation:

The intercept is where the line crosses the axis, and a coordinate is written out as, (x,y).

With this knowledge in mind, for the y-intercept, the x coordinate would be 0, and the y coordinate would be 0.4, which is where it crosses the y axis. This would make the y-intercept (0, 0.4).

For the x-intercept, the y coordinate would be 0, and the x coordinate would be where the line crosses the axis, making it 0.3. With these numbers and coordinates in mind, the coordinate for where the line intercept the x axis is (0.3, 0).

Can anybody help me with this question
I’ll mark you as a brainliest

Answers

Answer:

1 over 100

Step-by-step explanation:

Answer:

Step-by-step explanation:

If by what is the measure of angle CBD you mean the degrees then I would say it is 45 degrees.

after a few mathletes join the team, the team is able to solve 40% more problems per session. Of the team can solve 42 problems per session now, how many problem were they able to solve before the new mathletes joined?

Answers

Answer:

30

Step-by-step explanation:

Ur Welcome

The number of problems they were able to solve before the new mathletes joined, 30

What is the percentage?

Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".

Given that,

After a few mathletes join the team, the team is able to solve 40% more problems per session

Let X be the number of problems the team was able to solve before the new mathletes joined.

We know that after the new mathletes joined, they were able to solve 42 problems per session, which is 40% more than before, so:

X x 1.40 = 42

Solving for X:

X = 42 / 1.40 = 30.

To know more about Percentage check:

https://brainly.com/question/29306119

#SPJ6

can someone please help me answer this !!

Answers

Answer:

Step-by-step explanation:

The poster that lists the classroom rules in Mrs. Akin’s classroom has a length of 23 yard and a width of 34 yard. image aa2b159187a4443a9dd36a9dfe9e29b8 What is the area of the poster

Answers

Answer:782

Step-by-step explanation: area equals length x width so your length is 23 and your width is 34 so you have to do 23x34

Answer:

2/3

Step-by-step explanation:

because i said so

3. Jorge used 2 packs of pencils in the first 1/3 of the year. At what rate is Jorge using pencils?​

Answers

Answer:

Jorge is using pencils at a rate of 6 packs a year or a rate of 2 packs every four months.

Step-by-step explanation:

1/3 of a year is four months so that would be 2 packs every four months and if you multiply that by three you’d get 12 month, or one year, and 6 packs of pencils.

What are the scale factor and center of dilation?

Answers

shreks poop that fell on the ground

Medical Marijuana 2015 Sales Tax: The data show the amount of sales tax pald in a county in Colorado. Find the first and third
quartiles for the data.
Month
Sales Tax
Month
Sales Tax
January
363,296
July
518,704
554,227
February
358,567
August
March
418,559
September
506,314
April
266,428
October
341,543
May
399,650
November
349,257
June
453,134
December
532,331
Send data to Excel
Part: 0/2
Part 1 of 2
First quartile Q, is

Answers

Answer:

hippocampus

Step-by-step explanation:

you can see the attached file is scanned image in PDF format is unavailable right now because this video is not available for remote playback is unavailable right now because this was not a lot to get to know what to get a good day I would

What is a dot plot and how do you read it? Check all that apply.
O A dot plot is a simple plot that displays data values as dots above a number line
O Dot plots show the frequency with which a specific item appears in a data set.
O 3 students spent 4 hours on homework.
O 5 students spent 2 hours on homework.
O Dot plots show the distribution of the data.
O Students spent 1 to 6 hours on homework.​

Answers

Answer:

I need help on the same exact question.I'll figure it out for you though

Step-by-step explanation:

So I think it's the first one, the fourth one, and the last one, and the second one.

I hope it helps you!

Plz help will mark brainliest

Answers

Answer: do 8 x 12

Step-by-step explanation:

Answer:

48cm^2

Step-by-step explanation:

(b*h)/2 -> (8*12)/2 -> 96/2 = 48 cm^2

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