answer.
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
zmey
1 month ago
9

Thomas invested $8,500 for one year. Part of the money was invested at6% and the rest at 9%. The total interest earned was $667.

50. How much did Thomas invest at the 6% rate?
Mathematics
1 answer:
Zina [12.3K]1 month ago
4 0
Let x represent the amount invested at 6% and y the amount at 9%.
The equation x+y=8,500 leads to x=8500-y.
For the interest rates, we know 6%=0.06 and 9%=0.09.
The equation becomes 0.06x + 0.09y=667.5 (substituting for x to use only y).
Expanding yields: 0.06(8500-y)+0.09y=667.5.
Solving this gives us 510-0.06y+0.09y=667.5 (-510).
This simplifies to 0.03y=117.5 (/0.03), yielding y=$3916.67 for the 9% investment.
Thus, X=8500-Y results in x=$4583.33 for the 6% investment.
You might be interested in
Which expression represents the distance between 4.7 and −11.2 on the number line? Drag and drop the correct expression into the
zzz [12365]

Response:

15.9

Detailed explanation:

\text{The formula of a distance between two points on a number line:}\\\\d=|a-b|\\\\\text{for}\ a\geq b:\ d=a-b\\=========================\\\\\text{We have}\ 4.7\ \text{and}\ -11.2.\ \text{Substitute:}\\\\d=4.7-(-11.2)=4.7+11.2=15.9

5 0
29 days ago
Mike is 5 years old and Randy is 8 years old. Select all proportional relationships that have the same ratio to that of Mike and
lawyer [12517]

Response:

Explanatory steps:

I am unsure as well. However, I can state that the first one is

Sarah is 40 years old and her mother is 64 years old.

7 0
1 month ago
A tank contains 24 gallons of water when all of a sudden the water begins draining at a constant rate of 2 gallons per hour. Let
AnnZ [12381]

Response:

a) V(t) = 24 - 2t

b) From t increasing from 3 to 6, v changes from 18 gallons to 12 gallons.

Detailed explanation:

The relationship between the tank’s volume and time is given by:

V(t) = V(0) - at

Where V(0) indicates the starting volume and a denotes the hourly decrease.

a. Create a formula for v in terms of t.

The tank starts with 24 gallons of water, hence V(0) = 24

It drains steadily at 2 gallons each hour, therefore a = 2

Then

V(t) = V(0) - at

V(t) = 24 - 2t

b. When t progresses from 3 to 6, v changes from _________ to _________

V(t) = 24 - 2t

V(3) = 24 - 2*3 = 18

V(6) = 24 - 2*6 = 12

So as t progresses from 3 to 6, v shifts from 18 gallons to 12 gallons.

6 0
1 month ago
Which of the following represents the most accurate estimation of 388 - 212?
Zina [12379]
The correct response is 176
7 0
14 days ago
Which statement is true about the polynomial 3j4k−2jk3+jk3−2j4k+jk3 after it has been fully simplified? in terms and degree
zzz [12365]

I just took this assessment and got it right; the answer is a term with a degree of 5. It’s option 4.

7 0
1 month ago
Other questions:
  • Study the solutions of the three equations on the right. Then, complete the statements below. There are two real solutions if th
    13·1 answer
  • 6a−3b=5b solve for a:b ratio plz help
    7·2 answers
  • Sam receives the following scores on his English tests: 63, 84, and 96. What average score does he need on the last two tests in
    9·1 answer
  • A football quarterback enjoys practicing his long passes over 40 yards. He misses the first pass 40% of the time. When he misses
    12·2 answers
  • 1.4 puzzle time Why was the geometry book so sad? It had
    11·2 answers
  • .04 is 1/10 of what number
    6·2 answers
  • What is the slope-intercept equation for the line below? (0,1) (4,3)
    7·1 answer
  • In the diagram, transversal t cuts across the parallel lines a and b. Match the pairs of angles with the relationship that shows
    6·1 answer
  • You are testing a claim that the standard deviation of time all women spend washing their hair in the morning is 15 seconds. You
    11·1 answer
  • A study was conducted on the effects of long-term marriage (more than 10 years). Researchers gathered data from a random sample
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!