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
vivado [14]
3 years ago
6

A college student earned $8200 during summer vacation working as a waiter in a restaurant on the boardwalk at the beach. The stu

dent invested part of the money at 7% and the rest at 10%. If the student received a total of $664 in interest at the end of the year, how much was invested at 10%
Mathematics
1 answer:
Lyrx [107]3 years ago
8 0

Answer:

$3000.

Step-by-step explanation:

Suppose the amount invested at 7% is $X and the amount invested at 10% is $Y (assuming that the college student invested all his/her income on the two schemes). Therefore:

X + Y = 8200 (The sum of investments is basically the total income).

0.07X + 0.1Y = 664 (The sum of the interest received from the invested amounts is actually the total return).

Now solving these 2 simultaneous equations:

x + y = 8200 (Equation 1)

7x + 10y = 66400 (Equation 2)

From (Equation 1):

x = 8200 - y (Equation 3)

Put (Equation 3) in (Equation 2):

7(8200 - y) + 10y = 66400.

57400 - 7y + 10y = 66400.

3y = 9000

y = 3000.

$Y is the amount invested at 10%, therefore the final answer is $3000!!!

You might be interested in
How much does 3.25m of lace cost if 0.8m costs $5.60?
lidiya [134]

Answer:

Step-by-step explanation:

3.25/.8=4.0625

multiply that by 5.6

$22.75 is your answer

8 0
3 years ago
T/12 = 4 <br> solve for the solution
mars1129 [50]
T/12=4
Then t=12*4=48
5 0
3 years ago
We would like to estimate the proportion of uf students who owns a scooter to within 1% of the truth, with 95% confidence. We be
Varvara68 [4.7K]

Answer: 3458

i hope this work for you

8 0
2 years ago
The price of an item has dropped to $46 today yesterday was $115 find the percent decrease
Svetach [21]
Using cross multiply and divide the equation looks like so 46/115 next to x/100 to get an answer of 40%
6 0
3 years ago
Read 2 more answers
Start at -3 and add 10 number sequence
galben [10]

Answer:

-3,7,17,27,37,47,57,67,77,87,97,107

Step-by-step explanation:

You add 10 to -3 which gives you 7. You continue adding. This sequence goes on forever. You just keep adding 10.

I hope this helps!

5 0
2 years ago
Other questions:
  • Cole’s age is 3 years less than his sister Tina’s age, t. If Cole is 18, which equation represents this situation, and how old i
    14·2 answers
  • List the numbers from least to gretaest. 3 3/5, -2.2, -5/2 ,3.2 ,3.14
    14·2 answers
  • Choose the answer based on the most efficient method as presented in the lesson. If the first step in the solution of the equati
    11·2 answers
  • Which mathematical expression means seven more than the product of three and x
    7·1 answer
  • Why do all transformation preserve distance
    10·1 answer
  • Elena rode her bike 2 miles in 10 minutes. She rode at a constant speed. Complete the table to show the time it took her to trav
    11·2 answers
  • PLEASE HELP!! I’LL GIVE BRAINLIEST!!
    10·1 answer
  • Three friends in Seattle each told you it’s rainy, and each person has a 1/3 probability of lying. What is the probability that
    7·1 answer
  • Perform the indicated operations/solutions.<br> 1. 12-7+45÷15x11=<br> 2. 16x2+12-18÷9-4=
    8·1 answer
  • In d Mohit deposited 2 12000 be depos would ( money 900. The interest B 800 o O 1800​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!