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
lidiya [134]
3 years ago
5

An investment of ​$100 comma 000 was made by a business club. The investment was split into three parts and lasted for one year.

The first part of the investment earned​ 8% interest, the second​ 6%, and the third​ 9%. Total interest from the investments was $ 7380. The interest from the first investment was 2 times the interest from the second. Find the amounts of the three parts of the investment.
Mathematics
1 answer:
Artist 52 [7]3 years ago
3 0

Answer:

  • $54000 was invested at​ 8% interest
  • $36000 was invested at​ 6% interest
  • $10000 was invested at​ 9% interest

Step-by-step explanation:

Total Investment = ​$100,000

The investment was split into three parts (say x, y and z)

  • x+y+z=100000

Simple Interest = Principal X Rate/100 X Time

The first part of the investment earned​ 8% interest

Interest on the first part = 0.08x

The second part of the investment earned​ 6% interest

Interest on the second  part = 0.06y

The third part of the investment earned​ 9% interest

Interest on the third part = 0.09z

Total interest from the investments = $ 7380.

Therefore:

0.08x+0.06y+0.09z=7380

The interest from the first investment was 2 times the interest from the second.

0.08x=2 X 0.06y

0.08x=0.12y

Substituting we have:

0.12y+0.06y+0.09z=7380

0.18y+0.09z=7380

From 0.08x=0.12y

x=1.5y

Substituting x=1.5y into x+y+z=100000

1.5y+y+z=100000

2.5y+z=100000

z=100000-2.5y

Substituting z=100000-2.5y into 0.18y+0.09z=7380

0.18y+0.09(100000-2.5y)=7380

0.18y+9000-0.225y=7380

-0.045y=-1620

Divide both sides by -0.045

y=36000

Recall: x=1.5y

x=1.5 X 36000

x =54000

x+y+z=100000

54000+36000+z=100000

z=100000-(54000+36000)

z=10,000

Therefore:

  • $54000 was invested at​ 8% interest
  • $36000 was invested at​ 6% interest
  • $10000 was invested at​ 9% interest
You might be interested in
bella and camila are gathering leaves for their nature collection. bella has 18 leaves. camilla has twice as many leaves as bell
vaieri [72.5K]

Answer:

9

Step-by-step explanation:

18 + 18 is like 36 divied by 2 is 18 then dvide that by two is 9 so 9

8 0
2 years ago
Kendra was asked to find the number of students who planned to attend the evening symphony performance. She was told that 40 per
asambeis [7]

Answer:

Kendra should of divided by 2

Step-by-step explanation:

3 0
3 years ago
The area of the Pacific Ocean is 63,780,000 square miles. The Atlantic Ocean is 2.27 cross times 10 to the power of 7 square mil
olganol [36]

Answer:

4.11 * 10⁷ square miles

Step-by-step explanation:

Let P = pacific ocean

A = Atlantic ocean

P = 63,780,000 = 6.38 * 10⁷

Since A is 2.27 * 10⁷ square miles smaller than the pacific ocean,

The area of A = 6.38 * 10⁷ - 2.27 * 10⁷

The area of the atlantic ocean = 4.11 * 10⁷ square miles

4 0
3 years ago
Read 2 more answers
Select three ratios that are equivalent to<br> 4:3<br><br> Choose 3 answers:
VARVARA [1.3K]

Answer: 8:6, 12:9, and 16:12

6 0
3 years ago
Read 2 more answers
The graphs of three functions are shown.
satela [25.4K]

Answer:

  • The square root and quadratic function share a y-intercept.
  • The range of the square root and absolute value function are the same.

Step-by-step explanation:

Y-intercepts are the same when the curves meet the y-axis at the same point. That is true of the root and quadratic functions.

X-intercepts are the same when the curves meet the x-axis at the same point. None of these functions share an x-intercept.

The ranges of the functions are the same when they have the same vertical extent. The range of the quadratic is different from the range of the other two functions.

The absolute value and root functions have the same minimum (lower end of their range). That is the same as the maximum of the quadratic function.

__

The statements that match the graphs are ...

  • The square root and quadratic function share a y-intercept.
  • The range of the square root and absolute value function are the same.
7 0
3 years ago
Read 2 more answers
Other questions:
  • The family size bottle of sunscreen holds 12 oz of sunscreen. The regular bottle holds 75% less. How many fewer fluid ounces doe
    6·2 answers
  • Of 70 tosses of a dime, 55 results are heads. Find the empirical probability of tossing heads with this coin. ______ Is this a f
    8·1 answer
  • Use the substitution method to solve this system. y = x − 4 and -2x + y = − 7
    14·1 answer
  • Identifying Geometric Sequences Which sequences are geometric? Check all that apply. 10, 7.5, 5.625, 4.21875, … 160, 40, 10, 2.5
    7·2 answers
  • Where do I plot the points based on this graph​
    10·1 answer
  • What’s the answer to this
    11·2 answers
  • How do you put pictures in this?
    14·1 answer
  • Where is the function increasing? A) 1 &lt; x &lt; ∞ B) 3 &lt; x &lt; ∞ C) -∞ &lt; x &lt; 1 D) -∞ &lt; x &lt; 3
    10·1 answer
  • Question in image attached
    13·1 answer
  • 3 3/4 acres in 1 1/8 days<br><br> unit rate in acres per day
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!