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
Marianna [84]
3 years ago
11

Suppose you invested $10,000 part at 6% annual interest and the rest at 9% annual interest. If you received $684 in interest aft

er one year, how much did you invest at each rate?
Mathematics
1 answer:
victus00 [196]3 years ago
5 0
Assuming simple interest (i.e. no compounding within first year), then
At 6%, interest = 10000*0.06=$600
At 9% interest = 10000*0.09 = $900

Two ways to find the ratio
method A. let x=proportion at 6%
then
600x+900(1-x)=684
Expand and solve
300x=900-684=216
x=216/300=0.72 or 72%
So 10000*0.72=7200 were invested at 6%
10000-7200=2800 were invested at 9%

method B: by proportions
Ratio of investments at 6% and 9%
= 900-684 : 684-600
=216 : 84
= 18 : 7
Amount invested at 6% = 18/(18+7) * 10000 = 0.72*10000 = 7200
Amount invested at 8% = 7/(18+7)*10000=0.28*10000=2800
You might be interested in
What are the coordinates of the origin?<br> A) (0, 1) <br> B) (x, y) <br> C) (0, 0) <br> D) (1, 0)
ratelena [41]

Answer:

i believe it's c

Step-by-step explanation:

hope this helps :)

4 0
3 years ago
What is an equation of the line that passes through the points (-1, 6) and<br> (-1, -5)?
kobusy [5.1K]

Answer:

x = -1

Step-by-step explanation:

(-1 , 6)  ; (-1 , -5)

There is no change in x-coordinate values.

So, the is parallel to y-axis

x = -1

         

4 0
3 years ago
On a test of 80 problems, Bill got 75% of the problems correct. How many question did he get correct?​
Pavel [41]

Answer: 60

Step-by-step explanation:

75% of 80 is 60.

Multiply 80 by .75 to get the answer.

6 0
3 years ago
The probability that a student chosen at random from your class is a psychology major is .18. What is the probability that a stu
devlian [24]

Answer:  0.82

Step-by-step explanation:

We know that :

For any event A , the probability of not getting A is given by :-

P(not A)= 1- P(A)

Given : The probability that a student chosen at random from your class is a psychology major is P( psychology major) =0.18.

Then, the probability that a student chosen at random from your class is not a psychology major will be :

P(not psychology major)= 1 - P(psychology major)

= 1-0.18=0.82

Hence, the probability that a student chosen at random from your class is not a psychology major= 0.82

5 0
3 years ago
What are the domain and range of the function
atroni [7]

Answer:

Domain (-∞,∞)

Range (0, ∞)

Step-by-step explanation:

The domain of a function is always the set of all real numbers therefore the domain is going to be (-∞,∞). The range is (0, ∞) because 0 is one of the outputs for the function

3 0
3 years ago
Other questions:
  • For the function f(1) = Pere, if P = 7 and r= 0.07, then what is the value of f(7)
    13·2 answers
  • The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with a
    7·1 answer
  • I need help pleaseee asap​
    10·2 answers
  • What is 45 mi/h=__ ft/s
    15·1 answer
  • Find coordinates for x+5y=10 and 3x+5y=0. I need to know how to do this plz explain.
    9·2 answers
  • Which two statements are true according to the law of supply? A decrease in demand leads to an increase in supply. A decrease in
    13·1 answer
  • A truck can be rented from company A for $100 a day plus $0.20 per mile. Company b charges $80 a day plus $0.30 per mile to rent
    11·1 answer
  • 15x&gt;-60 help me please
    6·1 answer
  • Which comparisons are true? Select all that apply.
    9·2 answers
  • Solve for x: 5x + one third(3x + 6) &gt; 14 x &gt; twelve fifths x &gt; 2 x &lt; twelve fifths x &lt; 2
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!