1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
aliya0001 [1]
3 years ago
12

Matthew invested $3,000 into two accounts. One account paid 3% interest and the other paid 8% interest. He earned 4% interest on

the total investment. How much money did he put in each account?
Mathematics
2 answers:
Ad libitum [116K]3 years ago
8 0

Answer:

3%=600

8%=2400

Step-by-step explanation:

boyakko [2]3 years ago
3 0

<u>Answer:</u>

<em>Mathew invested</em><em> $600 and $2400</em><em> in each account.</em>

<u>Solution:</u>

From question, the total amount invested by Mathew is $3000. Let p = $3000.

Mathew has invested the total amount $3000 in two accounts. Let us consider the amount invested in first account as ‘P’

So, the amount invested in second account = 3000 – P

Step 1:

Given that Mathew has paid 3% interest in first account .Let us calculate the simple interest (I_1) earned in first account for one year,

\text {simple interest}=\frac{\text {pnr}}{100}

Where  

p = amount invested in first account

n = number of years  

r = rate of interest

hence, by using above equation we get (I_1) as,  

I_{1}=\frac{P \times 1 \times 3}{100} ----- eqn 1

Step 2:

Mathew has paid 8% interest in second account. Let us calculate the simple interest (I_2) earned in second account,

I_{2} = \frac{(3000-P) \times 1 \times 8}{100} \text { ------ eqn } 2

Step 3:

Mathew has earned 4% interest on total investment of $3000. Let us calculate the total simple interest (I)

I = \frac{3000 \times 1 \times 4}{100} ----- eqn 3

Step 4:

Total simple interest = simple interest on first account + simple interest on second account.

Hence we get,

I = I_1+ I_2 ---- eqn 4

By substituting eqn 1 , 2, 3 in eqn 4

\frac{3000 \times 1 \times 4}{100} = \frac{P \times 1 \times 3}{100} + \frac{(3000-P) \times 1 \times 8}{100}

\frac{12000}{100} = \frac{3 P}{100} + \frac{(24000-8 P)}{100}

12000=3P + 24000 - 8P

5P = 12000

P = 2400

Thus, the value of the variable ‘P’ is 2400  

Hence, the amount invested in first account = p = 2400

The amount invested in second account = 3000 – p = 3000 – 2400 = 600  

Hence, Mathew invested $600 and $2400 in each account.

You might be interested in
Help asap plsssssss ​
balu736 [363]

Answer:

B.) Associative Property of Addition

Step-by-step explanation:

This is because none of the numbers change places the only things that move are the parenthesis which correspond with the associative property.

4 0
3 years ago
A function f(x) s defined as f(x)=-8x^2. What is f(-3)?
Semenov [28]
f(-3)=-8\cdot(-3)^2\\&#10;f(-3)=-8\cdot9\\&#10;f(-3)=-72&#10;
5 0
3 years ago
Read 2 more answers
Find the surface area of the rectangular prism
frutty [35]

Answer:82

Step-by-step explanation:

surface area=pxh + 2xb

p=perimeter of base

h=height

b=area of base

Perimeter of base=7+7+2+2=18

height=3

base area=7x2=14

surface area=18x3+2x14

Surface area=82

7 0
3 years ago
james was diving in the ocean. he decided to ascend 11 feet to be able to see the coral better. he was then at -13 feet from the
vesna_86 [32]

Answer: -1 because - 13 - 11 will = -1

5 0
2 years ago
Use the data in the table to write a multiplication story for the number fact. Solve 2x6=
Afina-wow [57]
6*2=12.
You have not included a table so I assume this is the answer you want.
4 0
3 years ago
Other questions:
  • Miss wilson has 32 students in her classroom, and all of them completed their reading assignments in january. each read 20 pages
    8·1 answer
  • The rate StartFraction 450 pounds Over 25 buckets EndFraction describes the relationship between the number of buckets and the w
    9·2 answers
  • Marcus receives an inheritance of $12,000. He decides to invest this money in a 13-year certificate of deposit (CD) that pays 4.
    13·1 answer
  • What is least from greatest 5.08,5.8,8.05,5,8.5
    14·2 answers
  • WILL GIVE BRAINLIEST!! Please check my answer
    9·1 answer
  • A train travels 2 1/2 miles in 1/3 of an hour. How many miles per hour does the train go?
    8·1 answer
  • Write the equation of the line in slope-intercept form with slope m=4 through the point (-2,5)
    12·1 answer
  • A comic costs $3 and a mystery series costs $5 each.If Ken spend all his money on the comics, he has $6 left. If he wants to buy
    6·1 answer
  • Sandra buys 70 pencils with fuzzy tops. she gives 4 to each of her 15 classmates. The expression for the number of pencils she h
    5·1 answer
  • The expression has exactly 2 terms terms true or false 7f + 15 - 2g
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!