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san4es73 [151]
4 years ago
10

Ian participates in a 401(k) plan at work. For every $1 Ian contributes to the plan, his employer adds 50 cents. Employer contri

butions end after employees contribute $2,500 to the plan. Last year, Ian contributed $75 to his plan each week. What was the total amount of contribution (employee + employer) to his plan last year?
Business
1 answer:
Inessa [10]4 years ago
6 0

Answer: $5,150

Explanation:using the information given above,

For every $1 contributed by the employee, employer adds 50cent.

Employer contribution ends after employee contributes $2500 to the 401(k) plan.

Last year:

Ian's weekly contribution = $75

Number of weeks in a year = 52

Ian's total contribution ($75 × 52) = $3,900

Ian's Employer's total contribution:

$0.5 × $2500 = $1,250

Therefore total contribution last year :

$3900 + $1250 = $5,150

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Orlov [11]
If Jenny was twice Miki's age, and also, she is 4 years old, it means that Jenny was 8 years old and Miki was 4 years old. As this happened five years ago, then currently: Jenny = 8 + 5 = 13 years and Miki = 4 + 5 = 9 years.
Finally, Jenny is 13 years old and Miki is 9 years old.
5 0
4 years ago
Read 2 more answers
If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) = C(x)/x. Consider the cost func
ANTONII [103]

Answer:

Following are the solution to the question:

Explanation:

Calculating the total cost:

C(x) = 2,000 + 140x + \frac{4x^3}{2}

Calculating the marginal cost:

M(x) = C'(x) = 140 + 6 \times \frac{1}{2}

Calculating the average cost:

A( x ) =\frac{ C( x )}{x} = 2,000x-1 + 140 + 4\times \frac{1}{2}

Calculating the marginal average cost:

m( x ) = A'( x ) = -2,000x-2 + 2x-\frac{1}{2}

In point  (a)

C( 1,000 )

              = 2,000 + 140( 1,000 ) + 4( 1,000)^{\frac{3}{2}}\\\\=  \$ \ 268,491.106  \\\\ = \$ \ 268,491.11

In point(b)

A( 1,000 )

               = 2,000( 1,000 )-1 + 140 + 4( 1,000 )^{\frac{1 }{2}}\\\\= \frac{\$ \ 268.491106} {unit}\\\\= \frac{\$ \ 268.49}{ unit}

In point (c)

M( 1,000)

              = 140 + 6( 1,000 )^{\frac{1}{2}}\\\\= \frac{\$ \ 329.73666}{unit}\\\\= \frac{ \$ \  329.74}{ unit}

In point (d)  

Calculating the average cost:

A'( x ) = m( x ) = -2,000x-2 + 2x- \frac{1}{2}\\\\A'( x ) = 0 = -2,000x-2 + 2x-\frac{1}{2}= 0\\\\multiply \ by \ 2\\\\\to -2,000 + 2 \times \frac{x^3}{2}= 0 \\\\\to 2\times \frac{x^3}{2} = 2,000 \\\\\to \frac{x^3}{2} = \frac{2,000}{2} \\\\ \to \frac{x^3}{2}= 1,000 \\\\\to x = ( 1,000 )^{\frac{2}{3}}\\\\ \to  100 \ units

In point (e)

A( 100 )

            = 2,000( 100 )-1 + 140 + 4( 100 )^{\frac{1}{2}}\\\\= \frac{ \$ \ 200}{unit}

6 0
3 years ago
You have just closed the door when a customer arrives and pleads to allow them to come in to make a purchase. do you open back u
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I would kindly apologize to them, but reassure them them when the shop will be opening up again.

Who may be a customer examples?

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How important may be a customer?

Regardless of what industry you're in or what kinds of products and services you sell, your customer is that the most important part of your business. Without the customer, you do not see any sales. As a result, they're a critical factor when developing your marketing messaging and strategy.

Learn more about customer:

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When the federal reserve announces that it is implementing a new interest rate policy?
Slav-nsk [51]
The federal funds rate will be affected!
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Alina [70]

Answer:

you should have 2 apple trees

Explanation:

<u>you can have</u>                           <u>savings</u>            <u>costs</u>            <u>net payoff</u>

no tree at all                                0                      0                     0

1 apple tree                               $130                $100                $30

1 orange tree                            $90                  $70                 $20

1 pear tree                                $145                 $120                $25

<u>2 apple trees                           $260               $200                $60</u>

2 orange trees                         $180                $140                 $40

2 pear trees                             $290               $240                $50

1 apple + 1 pear tree                $275               $220                $55

1 apple + 1 orange tree            $220               $170                 $50

1 orange + 1 pear tree              $235               $190                 $45

8 0
3 years ago
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