$9000 was borrowed from two sources, one that charges 20% simple interest and the other that charges 5% simple interest. If the total interest at the end of 1 year was $1500, how much money was borrowed from each source?

Answers

Answer 1

Answer:

The amount borrowed at 20% simple interest was $7,000, while the amount borrowed at 5% simple interest was $2,000.

Step-by-step explanation:

Let x represents the amount borrowed at 20% simple interest.

Let y represents the amount borrowed at 5% simple interest.

Therefore, the amount borrowed at 5% simple interest will be:

y = 9000 - x ........................... (1)

As a result, we will have:

20%x =  interest at the end of 1 year from the amount borrowed at 20% simple interest

5% * (9000 - x) = 450 - 5%x = interest at the end of 1 year from the amount borrowed at 5% simple interest

Since the total interest at the end of 1 year was $1500, we have:

20%x + 450 - 5%x = 1500

We can now solve for x as follows:

20%x - 5%x = 1500 - 450

15%x = 1050

x = 1050 / 15%

x = 7000

Substituting x = 7000 into equation (1), we have:

y = 9000 - 7000

y = 2000

Therefore, the amount borrowed at 20% simple interest was $7,000, while the amount borrowed at 5% simple interest was $2,000.


Related Questions

Susie’s bakery is having a sale on all cookies.The bakery is offering a sale pack 4 cookies

Answers

Is there any more to the question? I cant give an answer based off of that!!

q(x)=2 −2+? please solve this huhu

Answers

Answer:

I mean it would just be q(x) = 0

Step-by-step explanation:

Answer: q=0

Step-by-step explanation: Let's solve for q.

qx=2−2

Step 1: Divide both sides by x.

qx

x

=

0

x

q=0

Answer:

q=0

Easy 6th grade question for 25 points.
Reed uses 8 pieces of glass per square foot to make a stained glass window.

How many pieces of glass will he need to make a window that is 864 square inches?

Answers

Answer:

Answer is 576. divide 864 by 12 because 12 inches is a foot and then you'll get 72 and then you multiple that by 8.

giving brainliest it’s due asap pls help

Answers

Answer:

AB is parallel to CD - the reasoning looks right aswell although I don't know exactly what I'm answering here.. are you asking to check it?

Graph the system of equations on your graph paper to answer the question. y = - x + 4, \qquad y = x - 2 What is the solution for the system of equations? Enter your answer by filling in the boxes.

Answers

Answer:

y=x+2

y=-x+8

Step-by-step explanation:

At the start of the month, the value of an investment was $53.92. By the end of the month, the value of the investment changed by a loss of $17.40. What was the value, in dollars, of the investment at the end of the month​

Answers

Answer:

$36.52

you're welcome :)

An element with a mass of 650 grams decays by 13.2% per minute. To the nearest minute, how long will it be until there are 220 grams of the element remaining?

Answers

Answer: 8

Step-by-step explanation:

The time taken where there is 220 grams of the element remaining should be considered as the 5 minutes.

Calculation of the time taken:

Since An element with a mass of 650 grams decays by 13.2% per minute.  and there is 220 grams of the element remaining.

So, the mass decays be

= 650 - 220

= 430

Now the total percentage be like

[tex]= 430 \div 650[/tex]

= 66.15%

Now the time taken should be

= [tex]66.15\div 13.2[/tex]

= 5 minutes

The time taken where there is 220 grams of the element remaining should be considered as the 5 minutes.

Learn more about time here: https://brainly.com/question/21207761

1.45
--
Decimal as fraction

Answers

Answer:

1.45 as a fraction is 29/20

Step-by-step explanation:

1.45 equivale a 29/20 en fracción

Sara hired her brother James to help her sell
lemonade. Sara agreed to pay James $1.00, plus
$0.10 for each glass of lemonade that he sold.
Sara paid James $3.60. How many glasses of
lemonade did James sell?

Answers

Answer:

3 Lemonade

Step-by-step explanation:

We add $1.00 with $0.10, then we get $1.10

We then divide $1.10 to the amount Sara paid

$3.60/1.10, we will get the answer 3

Graph the line y=2+1/x

Answers

2+1= 3

So is three ;-;?

Answer:

THERE U GO

Step-by-step explanation:

HOPE THIS HELPS

Consider the rectangle reduction.

What is the missing dimension of the reduced rectangle?

11/5, 11/8, 17/15, 17/20.

Answers

Answer:

11/15

Step-by-step explanation:

17/8 is to 17/20 as 11/6 is to x.

(17/8) / (17/20) = (11/6) / x

(17/8)x = 17/20 * 11/6

(17/8)x = 187/120

(8/17) * (17/8)x = 8/17 * 187/120

x = 11/15

Answer:

11/15

Step-by-step explanation:

just got it right !! :)

Need answer quickly!
Which expression is equivalent to StartFraction b Superscript negative 2 Baseline Over a b Superscript negative 3 Baseline EndFraction? Assume a not-equals 0, b not-equals 0.
StartFraction a Over b Superscript 5 Baseline
StartFraction 1 Over a b Superscript 5 Baseline Endfraction
StartFraction a cubed b Over 1 EndFraction
StartFraction b Over a EndFraction

Answers

Answer:

2

Step-by-step explanation:

Christa wants to put a fence
around her triangular flowerbed.
The sides of the flowerbed are
six feet, eight feet and 10 feet.
How many feet of fencing will
she need to enclose her flowerbed?​

Answers

Answer:

240 feet

Step-by-step explanation:

which value would make the statement true?
Statement- 2/?>4/12

Options- A.4
B. 6
C.12
D.24​

Answers

Answer:

C and D.

Step-by-step explanation:

2/6 = 1/3                                    4/12 = 1/3

2/4 = 1/2

2/12 = 1/6

2/24 = 1/12

In this diagram lines AB and CD are Parallel

Answers

Answer: I need a picture to find out ;-;

Step-by-step explanation:

Answer:

if youre asking for the equation its AB=CD

Step-by-step explanation:

If youre not, you'll need to attach a file or smth :'D

Write the equation of a line that passes through the
points shown in the table.
Which equations represent a line that passes through
the points given in the table? Check all that apply.
х
y
y-2 = -6(x + 10)
Oy-2=-1(x + 10)
-10
2
Oy-1--1(x + 4)
-4
1
y=-6x - 58
8.
-1
y=-3x+
y=-**+5
14
-2

Answers

Answer:

it's b on edge 2020

Step-by-step explanation:

you're welcome :)

The equations of the line that passes throught the point given in the table are as follows;

[tex]y = -\frac{1}{6} x+\frac{1}{3}[/tex]

[tex]y-2=-\frac{1}{6}(x+10)[/tex]

Equation of a straight line

The linear equation of a striaght line is represented as follows:

y = mx + b

where

m = slopeb = y-intercept

Therefore,

m = 1 - 2 / -4 + 10

m = - 1 / 6

Let's find b using (-10, 2)

2 = - 1 / 6(-10) + b

2 = 5 / 3 + b

b = 2 - 5 / 3

b =  6 - 5 / 3

b = 1 / 3

hence,

[tex]y = -\frac{1}{6} x+\frac{1}{3}[/tex]

using y - y₁ = m(x - x₁)

y₁ = 2

x₁ = -10

m = - 1 / 6

Hence,

[tex]y-2=-\frac{1}{6}(x+10)[/tex]

learn  more on equation of a line here: https://brainly.com/question/20897328

#SPJ5

Helpppppp I don’t get it

Answers

Answer:

-3y + 2x - 4

Step-by-step explanation:

Answer:

-3y - 4 + 2x

Step-by-step explanation:

when it says combine like terms, it means combine the terms that have the same variable

-7y, -2y, and 6y all have the same variable: y

so when you combine them, you get -3y (notice that the variable doesn't change, only the number in front of it does)

-2 and -2 are like terms, they don't have a variable

when you combine them, you get -4

-4x and 6x are like terms, their common variable is x

when you combine these, you get 2x

now put your answers together to get -3y - 4 + 2x

D
G
M
C
B В
K
Which points in the graph are in Quadrant II?
A) E, F, H, N
B) A, L
OC) A, L, D, F

Answers

Answer:

A) E, F, H, N

Step-by-step explanation:

I think so......

Given that
5x:9=7:3
Calculate the value of
x

Answers

Answer:

x = 4.2

Step-by-step explanation:

Given  5x:9=7:3 To findThe value of  xSolution5x:9=7:3 5x = 7*9/35x = 7*35x = 21x = 21/5x = 4.2

Answer:

4.2

Step-by-step explanation:

5x:9=7:3

5x/9=7/3

5X×3=7×9

15x=63

X=63/15

X=4.2

So the value of the X is 4.2

Mr. Evans is paid $10.40 per hour for the first 40 hours he works in a week. He is paid 1.5 times that rate for each hour after that.

Last week, Mr. Evans worked 41.75 hours. He says he earned $434.20 last week. Do you agree? Complete the explanation that supports your answer.

Answers

Answer:

Step-by-step explanation: 16,888 this are the answer

Given that, 1 Chinese yuan = £0.13, convert £314 into Chinese yuan. Give
your answer to the nearest yuan.
Chinese yuan

Answers

Answer:

2415 Chinese yuan (rounded off to nearest yuan)

Step-by-step explanation:

£0.13 = 1 Chinese yuan

£314 = [tex]\frac{314}{0.13}[/tex]×1 Chinese yuan

       = 2415 Chinese yuan (rounded off to nearest yuan)

Esme read 12 pages from her science book last night and it took her 18 minutes how long would it take her to read tonight's homework which is 22 pages long ​

Answers

Answer:

33 minutes

Step-by-step explanation:

It would tale her 1.5 min for each page

Helppp meeee plzzz thanks

Answers

Answer:

500+4=504

Step-by-step explanation:

Hope it helps

which equation is true
A. 0.9 = 90/100
B. 12/10 equal to 1.02
C. 1.9 = 9/100
OR
D. 18/9 = 0.2

Answers

A. All the others are false

A fish makes 480 dives on 10 hours at this rate how many dives did the fish do in 4 hours

Answers

Answer: 1200

Step-by-step explanation:

Answer:

192

Step-by-step explanation:

First, you would divide 480 by 10 to get 48 because you divide by the number of hours.

Then, multiply 48 by 4 to get your answer.

The answer: 192

if sin(x)=2/5 and tan(x)>0 what is sin(2x)

Answers

Answer:

B

Step-by-step explanation:

correct on edge

The answer is, sin (2x)=4√21/25

What is trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Here, given that,

sin(x)=2/5

and tan(x)>0

Then, cos(x)=√21/25

tan(x)=2/√21

Now, sin (2x)=2tan(x)/1+tan²(x)

                    =0.873/1.19

                    =0.733

                    =4√21/25

To learn more trigonometry click:

https://brainly.com/question/26719838

#SPJ2

f(x) = 2x^2 + 6x – 4
g(x) = 5x^3 – 6x^2-3

Find (f +g)(x).

Answers

Answer:

5x^3 - 4x^2 + 6x - 7

Step-by-step explanation:

Given

f(x) = 2x^2 + 6x – 4 g(x) = 5x^3 – 6x^2-3

To find

(f +g)(x)

Solution

(f +g)(x) = f(x) + g(x) =2x^2 + 6x - 4  + 5x^3 - 6x^2 - 3  =5x^3 - 4x^2 + 6x - 7

What is 0.0033 in scientific notation?

Answers

3.3 * 10^-3

Moving the decimal right gives a negative power

Answer:

[tex]=3.3*10^{-3}[/tex]

which of the following is a solution to the inequality 4x-5y<10

Answers

Answer:what is the following

Step-by-step explanation:

A game involves drawing a single card from a standard deck. One receives 60 cents for an ace, 30 cents for a king, and 5 cents for a red card that is neither an ace nor a king. If the cost of each draw is 10 cents, what is the expected value?

Answers

Answer:

The expected game value is -1 cent

Step-by-step explanation:

Here, we want to calculate the expected value of the game

We have 4 aces and 4 kings, including 26 red cards

The number of aces is 4

Probability of drawing an ace is 4/52 = 1/13

Probability of drawing a king is also 4/52 = 1/13

There are 26 red cards

The number of red cards that are neither ace nor king

There are 2 red aces and 2 red kings

So the number of cards that are red but are not

aces nor kings are 26-2-2 = 22

The probability of selecting this is 22/52 = 11/26

So the expected value is simply the probability multiplied by the amount

Thus, we have;

(60 * 1/13) + (30 * 1/13) + (5 * 11/26)

= 60/13 + 30/13 + 55/26

= (120 + 60 + 55)/26 = 9.038 cents which is approximately 9 cents

we subtract this from the 10 cents we are playing with, thus we are left with 9-10 = -1 cent

Other Questions
I will give brainliest! Please help!! 3. If a group of people are discussing the details of a hurricane that occurred in their community, are they most likely talking about weather or climate? In Brave New World. Why does john try to kill pope? What is pope's reaction? this shows you where text will appear as you type. How does persistence help Salva survive in a challenging environment? (A Long Walk to water) Write a python program to find factorial, use exception handling and display an appropriate message if the user inputs alphabets instead of the number. Emulate Index error for a list and handle that exception. Find factorial for all numbers in a given list and display the result. Use the following table to determine P(X3). PLZ HELPWhy did the Catholic Church want to end simony?a Priests were not being properly trained.b It prevented priests from leading services.c It led to a widespread criticism over church funds.d Church positions were not held by qualified people. Which of the following would not be descriptive of the outer Coastal Plain? can someone help me in solving this with explanation please.. i really need it and i will be so thankful 2. (Please help)If m29 = 97 and mZ12 = 114, find each measure.a. mZ1 =f. m26 =k. m213=812b. m2 =g. m27 =1. m214 =1 2 3>5611161510c. m3 =h. mZ8 =m. m 15 =91413d. m24 =i. mZ10 =n. m2 16 =e. m25 =j. m211 = How are aquifers connected to the water cycle? In Act III, who does Danforth refer to as a "proper lawyer"?a) John Proctorb) Francis Nursec) Giles Corey I need help ASAP. Will give u brainliest Which European country had the largest impact on Mexican and Central Americanmusic?RussiaItalyPolandGermany What was Teddy Roosevelt's famous phrase?"Ask not what your country can do for you""Speak softly and carry a big stick""Everything's coming up roses""I have a dream"100 POINTS ONCE AGAIN IM RUNNING OUT SO BE QUICK AND BRAINLIEST Elaborate your reason why you think duterte is the best? Which sentence contains an inappropriate shift in verb tense?Medicine made remarkable advances in the 20th century, as technology entered the operating theater, and new antibiotics became available.Medicine continued to make remarkable advances in the 20th century, as technology entered the operating theater and new antibiotics became available.Medicine makes remarkable advances in the 20th century, as technology entered the operating theater and new antibiotics become available.Medicine continues to make remarkable advances as technology enters the operating theater and new antibiotics become available. Amara needs 45kilograms of meat to feed her 2pet dragons each day. Each pet dragon eats the same amount of meat.How many kilograms of meat does Amara need to feed 4 pet dragons each day? giving brainly plz help which structure goes to this Shows one or more events (causes) leading to one or more other event (effects)A. descriptionB. problem/solutionc. cause/effectD. sequenceE. chronologicalF. Compare/contrast