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lys-0071 [83]
1 year ago
15

An executive invests $27,000, some at 5% and the rest at 4% annual interest. If he receives an annual return of $1,220, how much

is invested at each rate?
Mathematics
1 answer:
Shtirlitz [24]1 year ago
6 0

The amount invested at 5% is $12,000 whereas the remaining $15,000 was invested at 4%

What is the amount of annual return for each investment?

The amount of annual return for each investment is determined as the amount invested multiplied by the rate of return

Let us assume that y was invested at 5% and the 27000-y, the remainder was invested at 4%

Total annual return=(y*5%)+(27000-y)*4%

Total annual return=0.05y+1080-0.04y

total annual return=0.01y+1080

total annual return=1220

1220=0.01y+1080

1200-1080=0.01y

120=0.01y

y=120/0.01

y=$12,000(invested at 5%)

amount invested at 4%=27000-12000

amount invested at 4%=$15,000

Find out more about investment on: brainly.com/question/14214349

#SPJ1

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Anarel [89]
Here is the problem.....√(15x + 10) = 2x+3

to remove the square root, we do the opposite which is to square everything.

(√(15x + 10))² = (2x + 3)²      (the square negates the square root)
15x + 10 = (2x +3)(2x + 3)    (use the distributive property to continue)
15x + 10 = 4x² + 6x + 6x + 9  (combine like terms)
15x + 10 = 4x² + 12x + 9      (subtract 15x and 10 from each side)
-15x - 10          -15x - 10
0 = 4x² - 3x - 1                      (factor completely)
(x - 1) (4x + 1)                    (set each to equal 0)

x - 1 = 0                4x + 1 = 0
x = 1                      4x = -1
                               x = -1/4

place both into the equation to check for reasonableness...we see the negative number is not reasonable, but the x value of 1 is a solution.

answer is 1
4 0
3 years ago
Please find the area of the figure!!
Murrr4er [49]

The figure consists of a rectangle and a circle.

first lets find the sides of the triangle

sides of the triangle are 4+4=8 and 3+1=4

therefore area of the rectangle is 8*4=32

now area of semicircle =πr^2/2 = π2^2/2=2π=6.3

we have to add the area of rectangle with the area of semicircle

this is because it the given figure no part of area of circle and rectangle are in common.

therefore total area of given figure = 32+6.3=38.3

4 0
3 years ago
Suppose there are three types of consumers who attend concerts at your university’s performing arts center: students, staff, and
Alchen [17]

Answer: i. There are 140 students willing to pay $20.

ii. There are 200 staff members willing to pay $35.

iii. There are 100 faculty members willing to pay $50.

Step-by-step explanation: Suppose there are three types of consumers who attend concerts at Marshall university's performing arts center: students, staff, and faculty. Each of these groups has a different willingness to pay for tickets; within each group, willingness to pay is identical. There is a fixed cost of $1,000 to put on a concert, but there are essentially no variable costs.

For each concert:

A) If the performing arts center can charge only one price, what price should it charge? What are profits at this price? B) If the performing arts center can price discriminate and charge two prices, one for students and another for faculty/staff, what are its profits?

C) If the performing arts center can perfectly price discriminate and charge students, staff, and faculty three separate prices, what are its profits?

8 0
3 years ago
(05.08)Solve for x: 7 over 8 minus 1 over x equals 3 over 4.
NemiM [27]

If you are asking 7/8 - 1/x= 3/4,

first put 3/4 to 6/8 to make it easier.

Move the 7/8 over to the right. You will get 1/x=-1/8.

Simplify, it is x=-8.

Check=7/8 - 1/8=6/8

It checks out.

8 0
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Read 2 more answers
John's parents purchased their first home in the 1980s with a 30-year
slega [8]

Answer:

Option A,$ 1,832.91   is correct

Step-by-step explanation:

The monthly payment can be computed using the below pmt formula i excel shown below:

=pmt(rate,nper,-pv,fv)

rate is the monthly rate on the mortgage which is 17.5%/12=0.014583333

nper is the number of months of payment i.e 30*12=360

pv is the amount of the loan which is $125,000

fv is the total amount of repayment which is unknown

=pmt(0.014583333 ,360,-125000,0)=$ 1,832.91  

The correct option is A,$ 1,832.91  which is the amount of money they need to pay back on the mortgage for 360 months

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