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lana [24]
1 year ago
14

How much money will you have in 8 years if you invest $4000 at 2% compounded quarterly

Mathematics
2 answers:
laiz [17]1 year ago
6 0

Answer:

$4686.64

Step-by-step explanation:

here is the function 4000(1+0.02)^8

Mumz [18]1 year ago
5 0

Answer:

If you invest $4000 at 2% compounded quarterly you will make 4,694$.

Step-by-step explanation:

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The sum of the squares of 3 consecutive positive integers is 116. What are the numbers?
Elza [17]
You are supposed to use the third option: 3n2 + 6n + 5 = 116.
Take a look at the attachment to see how I got that solution. 
Hope it helps! :)

5 0
3 years ago
A store has been selling 300 Blu-ray disc players a week at $600 each. A market survey indicates that for each $40 rebate offere
timurjin [86]

Answer:

75 $

Step-by-step explanation:

According to problem statement p(300) = 600

And we know that with a rebate of 40 $, numbers of units sold will increase by 80 then if x is number of units sold, the increase in units is

(  x  - 300 )  , and the price decrease

(1/80)*40  =  0,5

Then the demand function is:

D(x)  =  600  - 0,5* ( x - 300 )  (1)

And revenue function is:

R(x) =  x * (D(x)   ⇒   R(x) =  x* [  600  - 0,5* ( x - 300 )]

R(x) = 600*x  - 0,5*x * ( x - 300 )

R(x) = 600*x - 0,5*x² - 150*x

R(x) = 450*x  - (1/2)*x²

Now taking derivatives on both sides of the equation we get

R´(x) =  450  - x

R´(x) =  0       ⇒   450  - x = 0

x = 450 units

We can observe that for   0 < x  < 450  R(x) > 0 then R(x) has a maximum for x = 450

Plugging this value in demand equation, we get the rebate for maximize revenue

D(450)  =  600  - 0,5* ( x - 300 )

D(450)  =  600 - 225 + 150

D(450)  =

D(450)  =  600 - 0,5*( 150)

D(450)  =  600 - 75

D(450)  = 525

And the rebate must be

600 - 525  = 75 $

5 0
3 years ago
Type your number answer in decimal form. do not round . ? millimeters = 9.2 cenimeters
adell [148]

Answer:

10 centimeter=92 milimeter

Step-by-step explanation:

we know that

one centimeter contains 10 milimeter or

1 centimeter is equal to 10 milimeter

1 centimeter=10 milimeter

we have to find

how many milimetersare there in 9.2 milimeters

9.2 centimeter=? milimeter

for this we will multiply by 9.2 on both sides

1 centimeter=10 milimeter

9.2 centimeter=10*(9.2)=92 milimeter

10 centimeter=92 milimeter



3 0
2 years ago
Read 2 more answers
Which of the following is a factor of (x+y)³-(x+y)³
IgorC [24]

▬▬▬▬▬▬▬▬▬▬▬▬▬▬

<h3>Answer :</h3>

The factor of (x + y)³- (x³ + y³) is <u>3xy</u>

<h3>Step By Step Solution :</h3>

→ (x + y)³- (x³ + y³)

→ (x + y) - (x + y)(x² - xy + y²) [Using identity a³ + b³ = (a + b)(a²- ab+ b²)]

→ (x + y)(x² + y² + 2xy - x² + xy - y²)[Using identity, (a + b)² = (a² + b²+ 2ab)]

→ (x + y) (3xy)

→ 3xy

∴ Option d. 3xy is correct!

▬▬▬▬▬▬▬▬▬▬▬▬▬▬

6 0
2 years ago
Read 2 more answers
A store is selling two mixtures of coffee beans in one-pound bags. The first mixture has 12 ounces of Sumatra combined with 4 ou
ololo11 [35]
We let x as the cost of one ounce of Sumatra and y as the cost of one ounce of Celebes Kalossi. For mixture 1, we have 12x + 4y = 32 and for mixture b, we have 4x + 12y = 40

First, Multiply eq. 1 by 4
4(12x + 4y = 32)4        ⇒    36x + 12y = 96

We now have 
(36x + 12y = 96) – (4x + 12y = 40)
<span>X = 1.75     ⇒ cost of one ounce of Sumatra 
</span>
Substitute x to either equation to get the value of y
12(1.75) + 4y = 324
y = 32-21
4y = 11
Y = 2.75     ⇒ cost of one ounce of Celebes Kalossi
8 0
3 years ago
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