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3 years ago

7

Your goal is to have $200,000 in a 401K that is compounded continuously in order to retire. If you invest $9,500 for fifty years

at a rate of 7%, will you reach your goal?

1 answer:

ExtremeBDS [4]3 years ago

5 0

Answer:

Yes

Step-by-step explanation:

You will get $279,841.74 in that 50 years.

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Newjet, Inc. manufactures inkjet printers and laser printers. The company has the capacity to make 70 printers per day, and it h

Nuetrik [128]

Answer:

45 inkjet printers and 25 laser printers should be made to give maximum profit.

The maximum profit is $3750

Step-by-step explanation:

Let x be the no. of inkjet printers

Let y be the no. of laser printers

The company has the capacity to make 70 printers per day

So, $x+y\leq 70$ ---1

Time taken to make 1 inkjet printer = 1 hour

So, Time taken to make x inkjet printer = x hour

Time taken to make 1 laser printer = 3 hours

So, time taken to make y laser printers = 3y hours

It has 120 hours of labor per day available

So, $x+3y\leq 120$ ---2

The profits are $50 per inkjet printer and $60 per laser printer.

So, P=50x+60y

Where P is the profit function

Plot the lines 1 and 2 on the graph

$x+y\leq 70$

$x+3y\leq 120$

Such that the $x\geq 0 , y\geq 0$

Now the boundary points of feasible region are (0,40),(45,25) and (70,0)

Substitute the points in the profit function

At (0,40)

P=50x+60y

P=50(0)+60(40)

P=2400

At (45,25)

P=50x+60y

P=50(45)+60(25)

P=3750

At (70,0)

P=50x+60y

P=50(70)+60(0)

P=3500

So, we got the maximum profit at (45,25)

So, 45 inkjet printers and 25 laser printers should be made to give maximum profit.

The maximum profit is $3750

6 0

3 years ago

According to records from the last 50 years, there is a 2/3 chance of June temperatures being above 80 F. Azul needs to find the

umka21 [38]

I think the answer is 52% because I got it correct on i-Ready. I really hope this helps because I hate that when you fail you have to redo a lesson.

Have a great day and let me know if this is the right answer.

6 0

3 years ago

Read 2 more answers

A textbook search committee is considering

lora16 [44]

Number of ways to select 3 books from 13 books for adoption is 286 .

<u>Step-by-step explanation:</u>

A Permutation is an ordered Combination. When the order does matter it is a Permutation. There are basically two types of permutation:

Repetition is Allowed: such as the lock above. It could be "333".

No Repetition: for example the first three people in a running race. You can't be first and second.

Formula is given by:

$nC_r= \frac{n!}{r! (n-r)!}$ , where n is the number of things to choose from, and we choose r of them, no repetitions, order matters. Here , n=13 , r=3.

⇒ $13C_3 = \frac{13!}{3!(13-3)!}$

⇒ $13C_3 = \frac{13!}{3!(10)!}$

⇒ $13C_3 = \frac{13(12)(11)10!}{3(2)(1)(10)!}$

⇒ $13C_3 = 13(2)(11)$

⇒ $13 C_3 = 286$

∴ Number of ways to select 3 books from 13 books for adoption is 286 .

3 0

3 years ago

Jamey took a picture to use as a logo for his company. The picture is 24 in. wide × 36 in. high. The logo is 6 in. wide.

ikadub [295]

I believe it would be 9 inches in height.
(1/4)*36=9
hope this helps!

6 0

3 years ago

)A mule deer can run one over four of a mile in 25 seconds. At this rate, which expression can be used to determine how fast a m

makvit [3.9K]

Well, if you take x to be 25 seconds, there are 2.4x in 1min. So, that multiplied by 60, would be 144x. Therefore, 1/4 multiplied by 144x should be the answer.

6 0

3 years ago

Read 2 more answers