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iren2701 [21]
3 years ago
15

Assume your goal in life is to retire with $2,500,000. How much would you need to save at the end of each year if interest rates

average 7% and you have a 20-year work life?
Business
1 answer:
LUCKY_DIMON [66]3 years ago
4 0

Answer:

Annual deposit= $60,982.31

Explanation:

Giving the following information:

Future Value= $2,500,000

Number  of periods= 20 years

Interest rate= 0.07

<u>To calculate the annual deposit, we need to use the following formula:</u>

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (2,500,000*0.07) / [(1.07^20) - 1]

A= 60,982.31

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What is the expected value when a $1 lottery ticket is bought in which the purchaser wins exactly $10 million if the ticket cont
Nadusha1986 [10]

We expect to lose $0.37 per lottery ticket

<u>Explanation:</u>

six winning numbers from = { 1, 2, 3, ....., 50}

So, the probability of winning:

P(win) = \frac{ no of favorable outcomes}{no of possible outcomes}

P(win) = \frac{1}{^5^0C_6} \\\\P (win) = \frac{6! X (50 - 6)!}{50!} \\\\P(win) = \frac{6! X 44!}{50!} \\\\P(win) = \frac{1}{15,890,700}

The probability of losing would be:

P(loss) = 1 - P(win)

P(loss) = 1 - \frac{1}{15,890,700} \\\\P(loss) = \frac{15,890,699}{15,890,700}

According to the question,

When we win, then we gain $10 million and lose the cost of the lottery ticket.

So,

$10,000,000 - 1 = $9,999,999

When we lose, then we lose the cost of the lottery ticket = $1

The expected value is the sum of the product of each possibility x with its probability P(x):

E(x) = ∑ xP(x)

= 9,999,999 X \frac{1}{15,890,700}  + ( -1 ) X \frac{15,890,699}{15,890,700} \\\\=- \frac{5,890,700}{15,890,700} \\\\= - \frac{58,907}{158,907} \\\\= - 0.37

Thus, we expect to lose $0.37 per lottery ticket

7 0
3 years ago
The owner of Grandma's Applesauce is planning to retire after the coming year. She has to repay a loan of $50,000 plus 8 percent
Aleks04 [339]

Answer:

Option (B) $5,000

Explanation:

Data provided in the question:

Repayment of Loan = $50,000

Interest = 8%

Cash flow             Probability

$65,000                    70%

$45,000                    30%

Tax rate = 0%

Now,

Interest on loan = 8% of $50,000

= $4,000

Expected value of cash flow = ∑[cash flow × Probability ]

= ( 0.7 × $65,000 ) + ( 0.3 × $45,000 )

= $45,500 + $13,500

= $59,000

The owner's expected cash flow after debt service

= Expected value of cash flow - Interest on loan - Repayment of Loan

= $59,000 - $4,000 - $50,000

= $5,000

Hence,

Option (B) $5,000

3 0
3 years ago
On October 1, 2018, Chief Corporation declared and issued a 10% stock dividend. Before this date, Chief had 80,000 shares of $5
iris [78.8K]

Answer:

correct option is a. decrease by $80,000

Explanation:

given data

stock dividend = 10%

common stock = $5

Chief = 80,000 shares

market value = $10

to find out

Chief's retained earnings will

solution

here retaining earning will be decrease by the maount of stock dividend that is

retaining earning = $80,000 × 10 % × $10

retaining earning = $80,000 × 0.10 × $10

retaining earning = $80000

so here correct option is a. decrease by $80,000

4 0
3 years ago
Seahorse Incorporated, which only has one product, has provided the following data concerning its most recent month of operation
ra1l [238]

Answer:

Unit product cost = $107

Explanation:

<em>Absorption costing is a method of costing where production units and inventories are value at the full cost per unit. Here, fixed overheads are charged to all units produced using an overhead absorption rate</em>

The full cost per unit = D.mat cost + D.labour cost + Variable overheads+ Fixed overheads

Fixed production overhead cost per unit

=Fixed manufacturing overhead/units produced

=  $43,700/ 1,900 Units

=$23 per unit

Full cost per unit

= $42  + $31 + $11 + 23

= $107

7 0
3 years ago
Payton, Inc.'s charter authorized 100,000 shares of stock with a par value of $1 per share. Payton issues 100 shares at a market
hoa [83]

Answer:

Common stock and $100

Explanation:

The journal entry is shown below:

Cash Dr $500   (100 shares × $5)

     To Common stock $100  (100 shares × $1)

     To Additional paid in capital in excess of par value - common stock  (100 shares × $4)

(Being the issuance of the common stock is recorded)

For recording this we debited the cash as it increased the assets and credited the common stock and additional paid in capital as it increased the stockholder equity    

6 0
3 years ago
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