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
wlad13 [49]
3 years ago
9

A man invests a total of $9,493in two savings accounts. One account yields 9% simple interest and the other 10% simple interest.

He earned a total of $930.80interest for the year. How much was invested in the 9% account?
Mathematics
1 answer:
Tju [1.3M]3 years ago
5 0

$ 1850 was invested in 9% account

<u>Solution:</u>

Given that  

Total amount invested by man in two saving accounts = $9493

Simple interest on one account =9%

Simple interest on second account = 10%

Total interest earned = $930.80

Need to determine amount invested in 9 % account.

Let assume amount invested in account where Simple Interest is 9% = x

And assume amount invested in account where Simple Interest is 10% = y

As total amount invested in two accounts is $9493

=> x + y = 9493      

=> y = 9493 - x                              ------(1)

\text { Simple Interest }=\frac{\text { Amount Invested } \times \text {rate of interest } \times \text {time}}{100}

\begin{array}{l}{\text { Simple interest when rate of interest is } 9 \%=\frac{x \times 9 \times 1}{100}=\frac{9 x}{100}} \\\\ {\text { Simple interest when rate of interest is } 10 \%=\frac{y \times 10 \times 1}{100}=\frac{10 y}{100}}\end{array}

As total interest earned = $930.80

\begin{array}{l}{\Rightarrow \frac{9 x}{100}+\frac{10 y}{100}=930.80} \\\\ {\Rightarrow 9 x+10 y=930.80 \times 100} \\\\ {\Rightarrow 9 x+10 y=93080}\end{array}

On substituting value of y from equation(1) in above equation , we get

9x + 10 (9493 – x) = 93080

=> 9x  + 94930 – 10x = 93080

=> -x = 93080 – 94930

=> -x = -1850

=> x = 1850  

Amount invested in account where Simple Interest is 9% = x  = $1850

Hence $1850 was invested in 9% account.

You might be interested in
What does the "O" stand for in the S.T.O.P. method of refusal?
natima [27]
B.offer another idea hope i helped :)
3 0
3 years ago
Socialization is cultural accumulation.<br><br><br> TrueFalse<br><br> will give brainliest
madam [21]

Answer:

true

Step-by-step explanation:

this is the answer that I think you are looking for.

6 0
2 years ago
Factor the expression.<br><br> 3x + 21
Delicious77 [7]

Answer: 3  ( x + 7 )

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Complete the table of values for y=2x squared + x
Lapatulllka [165]

Answer:

y=2x^2 + 2x - 3 x -2 -1 0 1 2

Step By Step Explanation:

The values can be find by plugging the x values in the equation which gives us the y value ,

x -2 -1 0 1 2

y 1 -3 -3 1 9

(b) Plot the points on the graph and join by a smooth curve.

(c) The line y=1 will be passing through 1 and parallel to x-axis.

(d) solve 2x^2 + 2x - 3 = 1

Subtract 1 from both the sides ,

2x^2 + 2x - 2 = 0

Factoring out the 2 from the equation ,

2(x^2 + x - 1) = 0

x^2 + x - 1 = 0

Apply the quadratic formula

x=(-1-sqrt(5))/2 and x = (-1+sqrt(5))/5

5 0
3 years ago
Find the perimeter of the shape shown below.
sukhopar [10]

perimeter = turn of the figure

P = 6 + 3 + 4 + 4 + 3 + 6 + 3 + 4 + 3 = 36

the triangle has 2 équal sides => isosceles

and 1 angle is 60° so the triangle is equilateral

 

7 0
2 years ago
Other questions:
  • Identify the initial amount a and the growth factor b in the exponential function. F (t)=1.4^t
    7·1 answer
  • A lawyer drives from her​ home, located 2 miles east and 3 miles north of the town​ courthouse, to her​ office, located 5 miles
    7·1 answer
  • Use the formula P=le^kt. A bacterial culture has an initial population of 10,000. If its population declines to 7,000 in 4 hours
    10·1 answer
  • A triangle can have two right angles.<br> a. True<br> b. False
    8·2 answers
  • The wheels on Jason’s dirt bike measure 19 inches in diameter. How many revolutions will the wheels make when Jason rides for 50
    8·1 answer
  • Given the conditional statement "If it is January, then it is winter in the United States," which is true?
    12·1 answer
  • Please help me with this !!
    7·1 answer
  • Whats the square root of 826 also looking for a minecraft girI needs to be 15 or older
    11·2 answers
  • Determined to find the slope<br>(1 7K), and (-3,5K)​
    10·1 answer
  • What are the slope and y-intercept for the graph of y – 3x = -1?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!