Brian invested his savings in two investment funds. The $8000 that he invested in Fund A returned a 4% profit. The amount that he invested in Fund B returned a 1% profit. How much did he invest in Fund B, if both funds together returned a 2% profit?

Answers

Answer 1

Answer:

Answer: Brian invested $16000 in Fund B .

Step-by-step explanation:

Let x be the amount Brian invested in Fund B.

Given, The $8000 that he invested in Fund A returned a 4% profit. The amount that he invested in Fund B returned a 1% profit.

i.e. profit on Fund A = 4% of 8000 = 0.04 ×8000 = $320

Profit on Fund B = 1% of x = 0.01x

Together they earn 1% profit, i.e. Combined profit = 2% of (8000+x)

= 0.02(8000+x)

As per question,

Combined profit=Profit on Fund A+Profit on Fund B

$\Rightarrow\ 0.02(8000+x) =320+0.01x\n\n\Rightarrow\ 0.02(8000) +0.02x=320+0.01x\n\n\Rightarrow\ 160+0.02x=320+0.01x\n\n\Rightarrow\ 0.02x-0.01x=320-160\n\n\Rightarrow\ 0.01x=160\n\n\Rightarrow\ x=(160)/(0.01)\n\n\Rightarrow\ x=16000$

Hence, Brian invested $16000 in Fund B .

Related Questions

Walt made an extra $7000 last year from a part-time job. He invested part of the money at 3% and the rest at 3.25%. He made a total of $220.00 in interest. How much was invested at 3.25%?A $4000B $3000C $5000D $3500
Charlotte measured the temperature at 7:00 A.M. and again at 3:00 P.M. She placed both measurements on a number line.How did the temperature change between 7:00 A.M. and 3:00 P.M.?A.It increased by °C.B.It decreased by °C.C.It increased by °C.D.It decreased by °C.
V=kfovern what does n=
An air balloon begins it's decent to the ground at 1000 ft above the ground and falls at a rate of 50 ft per minute. Select all that apply to this situation. The slope is 1000 ft per minute. The balloon is falling at 1000 ft per minute. The y-intercept is 50 ft. The balloon falls at a rate of 50 ft per minute. The y-intercept is 1000 ft. The balloon begins to from an initial height of 1000 ft. The slope is -50 ft per minute. The balloon is falling at 50 ft per minute. It will take the balloon 20 minutes to reach the ground.
2x+3=-7 what does x equal

Good evening guys

I nee your help , can you ?

Answers

5h^3: 5 * h * h * h
20h^2: 2 * 2 * 5 * h * h
GCF(5h^3, 20h^2) = 5h^2

4h: 2 * 2 * h
16: 2 * 2 * 2 * 2
GCF(4h, 16) = 4

The answer is C.

Mariah ran 4.8 miles. jaliyah ran 2.75 miles. How much farther did mariah run than janiyah.

Answers

Answer:

2.05

Step-by-step explanation:

The two lines represent the distance traveled by Noah and Diego. Which person is running more quickly? Explain how you know.

Answers

Answer: It Diego i think please don’t be mad at me if you get it wrong

Solve for X.

A. 168
B. 180
C. 21
D. 42

Answers

Answer:

Answer = C

Angle x = 21

Property = Angle sum of Triangle

Find the value of x RT=4x+10 SW= 5x-20

Answers

Well, as you can see from the rectangle RT and SW should have equal lengths. So to find the value of x, we need to do.....

4x + 10 = 5x - 20
-x + 10 = -20 (Subtraction property of equality)
-x = -30 (Subtraction property of equality)
x = 30 (Division property of equality)

To check our work:

4(30)+10 = 130
5(30)-20 = 130

So, the value of x is 30!

Brine is a solution of salt and water. If a tub contains 50 gallons of a 5% solution of brine, how much water must evaporate to change it to an 8% solution?

Answers

Let x = amt of water evaporated :.05(50) = .08(50-x) 2.5 = 4 - .08x .08x = 4 - 2.5 .08x = 1.5 x = 18.75 lb of water evaporated : ; Check; amt of salt remains the same, only the percentage is different, right? .05(50) = .08(50-18.75) .05(50) = .08(31.25) 2.5 = 2.5

Other Questions

Determine if the rates $24 for 6 hours of work and $36 for 8 hours of work are equivalent. Explain your reasoning

Based on the graph, which statement is correct about the solution to the system of equations for lines K and J?(1, 1) is the solution to both lines K and J. (−1, 0) is the solution to line K but not to line J. (1, 1) is the solution to line K but not to line J. (0, 4) is the solution to both lines K and J.

Is 1/4 less than or greater than 1/8

Can someone please help me??