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
goldfiish [28.3K]
3 years ago
11

A college student earned $5100 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 8% and the rest at 9%. If the student received a total of $445 in interest at the end of the year, how much was invested at 9%?
Mathematics
1 answer:
Mama L [17]3 years ago
6 0
<h3>Answer:</h3>

$3700

<h3>Step-by-step explanation:</h3>

Let x represent the amount invested at 9%. Then 5100-x is the amount invested at 8%. The total interest earned is ...

... 0.08(5100-x) +0.09x = 445

... 0.01x = 445 -0.08·5100 . . . . . collect terms, subtract .08·5100

... x = (445 -408)/0.01 = 3700 . . . divide by the coefficient of x.

The student invested $3700 at 9%.

You might be interested in
Y varies directly with x, and y = 120 ib when x = 50 ib. Find y if x = 40 ib
Llana [10]
Y = kx is the direct variation equation.
Use the x and y given to find k. After finding k use it to write a new equation.
120=k*50
Divide by 50 on both sides
120/50=k 12/5=k
y = (12/5)(40) y=96
8 0
3 years ago
How do you simplify a fraction?
Irina-Kira [14]
If its an improper fraction thet u will put the numerator in the house and the denominator outside. for an example 11/5.... the problem would now be 5 divided by 11. once you find the quotient of the problem you will also find the mixed number which is the simplest form of a fraction
 <span />
7 0
3 years ago
Solve the formula for the indicated variable<br><br> rx + ry = 4 for r
pishuonlain [190]

Answer:

r =   4/(x+y)

Step-by-step explanation:

rx + ry = 4

Factor out r

r ( x+y) = 4

Divide each side by (x+y)

r ( x+y) /(x+y) = 4/(x+y)

r =   4/(x+y)

3 0
3 years ago
Jake and Hannah wash windows Jake charges $50 plus $2 per window hannah charges $20 plus $5 per window for how many windows wash
AnnZ [28]
10.
50+(2x)=20+(5x)
-20 -20
-2x -2x
30=3x
divide both sides by 3
10=x
8 0
3 years ago
The difference between 3 times a number x and 2 is 19. What is the value of x?
Ber [7]

Answer:

the value of x is 7.

Step-by-step explanation:

2+19=21

21÷3=7

Check:

3×7=21

21-2=19

Therefore, 7 is the answer.

6 0
3 years ago
Other questions:
  • Help me find the value of the missing variable
    11·2 answers
  • Sarah serves at a restaurant and makes 20% of what she sells as tips. Her base salary is $10.20an hour. Each hour she sells an a
    14·1 answer
  • What is 345,000 in expanded form
    10·1 answer
  • Working​ together, two people can cut a large lawn in 44 hr. One person can do the job alone in 1 hr less than the other. How lo
    15·1 answer
  • In how money ways can a five-letter license plate be made with the letters from April if none of the letters are repeated ?
    5·1 answer
  • The flower shop has 40 times as many flowersin one cooler as Julia has in her banquet. The cooler has 120 flowers.how many flowe
    11·2 answers
  • Z%3 = -3.6 helpppp!!!
    6·1 answer
  • Please help asap! xoxo
    9·1 answer
  • Divide using a common factor of 5 to find an equivalent fraction for ten tenths
    13·1 answer
  • Use the Distributive Property to find $(n-6)(n-4)$ .
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!