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
SOVA2 [1]
1 year ago
5

A bank loaned out $8200, part of it at a rate of 7.9% per year and the rest of it at a rate of 7.4% per year. The total amount o

f interest owed to the bank at the end of one year was $614.67.
Find the amount of money that the bank loaned out at 7.9%.
Mathematics
1 answer:
Lady bird [3.3K]1 year ago
3 0

The amount that the bank loaned out at 7.9% is $1,574.00

How do represent the amounts lent at different rates?

On the assumption that x amount was loaned at 7.9% and that the remaining amount, (8,200-x) was loan out at 7.4%, we can determine the interest charged on each loan as the loan multiplied by the interest rate

interest on 7.9% loan=7.9%*x=0.079x

interest on 7.4% loan=7.4%*(8200-x)

interest on 7.4% loan=606.80-0.074x

total interest=0.079x+606.80-0.074x

total interest=0.005x+606.80

total interest on loans=614.67

614.67=0.005x+606.80

614.67-606.80=0.005x

7.87=0.005x

x=7.87/0.005

x=amount loaned at 7.9%=$1,574.00

y=$8200-$1574

y=$6,626.00

Find out more about bank loan interest rate on:brainly.com/question/20796174

#SPJ1

You might be interested in
The record low temp in Fargo, ND is -37*F. The record high is 109*F. What is the difference in the record high and the record lo
yuradex [85]

Answer:

109 - -37 = 146

Step-by-step explanation:

since you are subtracting a negative, the negative number and the sign cancel each other out. So all you have to do is add.

6 0
2 years ago
In a shipment of 22 smartphones, 2 are defective. How many ways can a quality control inspector randomly test 4 smartphones, of
Eddi Din [679]

Answer:

Therefore the required ways are =190

Step-by-step explanation:

Combination: Combination is the number of selection of items from a collection of items where the order of selection does not matter.

Total number of smartphones =22

Defective phone = 2

Non defective phone = (22-2) =20

The control inspector randomly test 4 smartphones of which 2 are defective.

Non defective phone = 2

The ways to select 2 non defective phone is

^{20}C_2=\frac{20!}{2!(20-2)!} =\frac{20!}{2!18!}=\frac{19\times 20}{2} =190

The ways to select 2 defective phone is= ^2C_2=1

Therefore the required ways are = (190×1) =190

5 0
3 years ago
Substitution method <br><br> x-7y=-9<br> -x+8y=10
max2010maxim [7]

Answer:

x = -2, y=1

Step-by-step explanation:

x-7y=-9---------------------equation 1

-x+8y=10-------------------equation 2

From equation 1, make x the subject of formula

x=7y-9----------------------equation 3

substituting x=7y-9 in equation 2,

-(7y-9)+8y=10

Expanding bracket

-7y+9+8y=10

Collecting like terms

8y-7y=10-9

y=1

substituting y=1 in 3

x=7(1)-9

x=7-9

x=-2

7 0
2 years ago
What is the linear factor
Effectus [21]

Answer:

The linear factors of a polynomial are the first-degree equations that are the building blocks of more complex and higher-order polynomials

Step-by-step explanation:

4 0
3 years ago
How do you know a radical is like a radical?
Ilia_Sergeevich [38]
1.No denominator  contains a radical.
2.no radicand  contains a fraction
6 0
3 years ago
Other questions:
  • Use synthetic division to solve (3x^4+6x^3+2x^2+9x+10)/ (x+2)
    13·2 answers
  • How do I find the derivative of 2(f(x)+g(x))?
    7·2 answers
  • The area of a square game board is 144 sq.in.whats the lenght of the sides of the board
    11·1 answer
  • How do you take notes in math? I am struggling on math and I don't know how to take notes in math. ASAP! Please! I know how to t
    14·1 answer
  • Which interval is the solution set to 0.35x – 4.8 &lt; 5.2 – 0.9x?
    7·1 answer
  • Which of the following lines is perpendicular to a line with a slope of 5?
    13·1 answer
  • You have an ant farm with 31 ants. The population of ants in your farm will double every 3 months. The table shows the populatio
    12·1 answer
  • 9. What is the solution to this equation? 2x + 10 = 28 help​
    6·2 answers
  • Which of the following expressions represents the addition of 7² and 7³?
    15·2 answers
  • Find the area of the parallelogram. *
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!