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
AfilCa [17]
3 years ago
10

Ask Your Teacher Equal amounts are invested at 2%, 7%, and 9% annual interest. If the three investments yield a total of $828 an

nual interest, find the total investment.
Mathematics
1 answer:
Nookie1986 [14]3 years ago
5 0

Answer:

$4600

Step-by-step explanation:

Write an equation to represent the problem.

Interest is calculated by multiplying the interest rate with the investment. <u>Multiplying each of the rates</u> (2%, 7% and 9%) <u>in decimal form with the investment amount is equal to the annual interest</u>, (828).

Convert a percentage to decimal form by dividing by 100:

2% ÷ 100 => 0.02

7% ÷ 100 => 0.07

9% ÷ 100 => 0.09

let "P" represent the amount of money for the total investment

0.02P + 0.07P + 0.09P = 828

Use the equation to solve for "P". Simplify by collecting like terms (numbers that have the same variable) then isolate "P" by moving the other numbers to the right side. To move a number to the other side, do it's reverse operation to both sides of the equation. (The reverse of multiplying is dividing).

0.02P + 0.07P + 0.09P = 828        Collect like terms

0.18P = 828        Isolate "P"

0.18P/0.18 = 828/0.18        Divide both sides by 0.18

P = 828/0.18         "P" is isolated because 0.18 cancelled out. Simplify.

P = 4600        Total investment

Therefore the total investment is $4600.

You might be interested in
Can someone please help me with this square root problem?
vovikov84 [41]

Answer:

Rational, Rational, Rational, Irrational, Irrational

Step-by-step explanation:

The first question:

  • -√49
  • -7

This number is rational

Second:

  • -70.8888....

This number is rational. It wouldn't be rational if the digits won't repeat.

Third:

  • 15.91

This number is rational

Fourth:

  • 17π

This is irrational. The digits of pi do not repeat, making it irrational.

Fifth:

  • -√14

Irrational. The square root of a non-perfect square is irrational.

<h3 />

-Chetan K

5 0
2 years ago
Subsubstitution solving for x ​
yuradex [85]

y = 8x - 18

2x - 8(8x - 18) = 20

2x + -64x + 144 = 20

-62x + 144 = 20

-62x = -124

x = 2

6 0
3 years ago
What is the least common multiple of the numbers 8 and 12?
faltersainse [42]
The least common multiple is 24

8*3 gets you 24
12*2 gets you 24 as well

Hope this helps
7 0
3 years ago
Read 2 more answers
If instead of randomly selecting two people there were five, what is the probability that all five are right-handed
lozanna [386]

Answer:

1/32

Step-by-step explanation:

We can break this question down. If we had 1 person and they are right-handed, the probability is 1/2 because they are either left-handed or right-handed. Knowing that, we can multiply the probability of having 1 person being right-handed 5 times because there are 5 people in the question.

1/2 × 1/2 × 1/2 × 1/2 × 1/2 = 1/(2⁵) = 1/32

Therefore, the probability of randomly selecting 5 people who are right-handed is 1/32.

I hope this helps and please mark me as brainliest!

5 0
2 years ago
These are the weekly wages paid to staff in a hotel.
Marianna [84]
If I’m not mistaken 174 is your median
5 0
3 years ago
Other questions:
  • The area of a square garden is 1/144mi^2. How long is each side
    5·1 answer
  • Triangle FGH is an equilateral triangle with sides measuring units. What is the height of the triangle? GR= units
    14·2 answers
  • Use the drawing tools to form the correct answer on the grid.
    9·1 answer
  • Simplify the expression: x2+x(x-5)-x+7
    9·1 answer
  • What's does 2 alternate interior angle equals?
    8·1 answer
  • Plz help me with number2 plz show work thanks
    8·1 answer
  • consider the equation k over x equals 12 where k is any number between 20 and 65 and X is a positive integer what are the possib
    14·1 answer
  • Pls answer me this all question correctly pls I beg you pls friends pls pls pls pls pls pls pls pls​
    5·1 answer
  • A shipping container will be used to transport several 100-kilogram crates across the country by rail. The greatest weight that
    15·1 answer
  • Solve | x - 5 | = 3 solve​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!