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goblinko [34]
3 years ago
15

A stock's price fluctuations are approximately normally distributed with a mean of $104.50 and a standard deviation of $23.62. Y

ou decide to purchase whenever the price reaches its lowest 10% of values. What is the most you would be willing to pay for the stock?
Business
1 answer:
denpristay [2]3 years ago
6 0

Answer:

$ 74.23

Explanation:

We are given the following:

mean, μ = $ 104.50

standard deviation, σ = $ 23.62

Using the z-score table, we have

P(Z < z) = 10%  (since we are evaluating lowest 10% of values)

hence P(Z < z) = 0.10

P(Z < -1.282 ) = 0.10

z = -1.282  (this evaluates to 0.1 on the z-score table)

Using z-score formula,

x = z *σ + μ

substituting the values,

x =- - 1.282 * 23.62 + 104.50

= 74.23

The most for the stock is $ 74.23

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· Hope's contribution to her RETIREMENT plan...
Verizon [17]

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3 0
2 years ago
The high-low method calculates the total fixed cost as the: Group of answer choices
MaRussiya [10]

Answer:

c. difference between total variable costs and total costs at a particular activity level

Explanation:

The high low method consists of calculating costs on the basis of highest & lowest activity & comparing their corresponding total costs.

Variable cost per unit is found by : change in cost divided by the change in activity level for two points

Variable Cost per unit = <u>Highest activity cost - Lowest activity cost </u>

                                      Highest activity units - lowest activity units

Fixed Cost is thereafter calculated by subtracting Total Variable Costs from Total Cost

Fixed Cost = Highest Activity Total Cost - [ (Variable cost per unit) x (highest activity units)

Fixed Cost = Lowest Activity Cost - [ (Variable cost per unit) x (lowest activity units)]

4 0
2 years ago
You found your dream vacation cottage in the mountains and your offer of $78,000 was accepted. You plan to put 20% down and will
zepelin [54]

Answer:

financing 62,400 dollars

Monthly Payment   $ 465.48

Total Interest  21,386.4  

Rounding to nearest $ 100

Additional $$  34.52

We save up to 16 payments and $2,136.4 in interest.

By-weekly payment  $232.60

Total Interest saved $ 194.4

Explanation:

78,000 less 20% down-payment: 62,400

Monthly  Payment

PV \div \frac{1-(1+r)^{-time} }{rate} = C\\

PV  $62,400.00

time 180

rate 0.0034375

62400 \div \frac{1-(1+0.0034375)^{-180} }{0.0034375} = C\\

C  $ 465.484

Total Interest

quota times time less principal

$ 465.48 x 180 - 62,400 = 21,386.4

$  500  -  $  465.48  =   $  34.52

C \times \frac{1-(1+r)^{-time} }{rate} = PV\\

C  $500.00

time n

rate 0.0034375

PV $62,400.0000

500 \times \frac{1-(1+0.0034375)^{-n} }{0.0034375} = 62400\\

(1+0.0034375)^{-n}= 1-\frac{62400\times0.0034375}{500}

(1+0.0034375)^{-n}= 0.571

We now use logaritmics properties to solve for n

-n= \frac{log0.571}{log(1+0.0034375)

-163.2956066

180 - 164 = 16 payments

Total Interst 500 x 163.30 - 62,400 = 19,250

Interest savings 21,386.4 - 19,250 = 2,136.4

If payment are bi-weekly:

then payments will be:

PV \div \frac{1-(1+r)^{-time} }{rate} = C\\

PV  $62,400.00

time 360

rate 0.00171875

62400 \div \frac{1-(1+0.00171875)^{-360} }{0.00171875} = C\\

C  $ 232.598

And total Interest:

232.2 x 360 - 62,400 = 21,192

Difference 21,386.4 - 21,192 = $ 194.4

6 0
3 years ago
Breakin Away Company has three employees—a consultant, a computer programmer, and an administrator. The following payroll inform
alekssr [168]

Answer:

Gross pay:

  • consultant $4,000
  • computer programmer $3,300
  • administrator $2,800

Net pay:

  • consultant $2,767.98
  • computer programmer $2,295.48
  • administrator $1,993.98

Explanation:

                                           regular earnings     overtime    withholding  

                                                                                              allowances

Consultant                        $4,000 per week       N/A                2

Computer programmer          $60 per hour        1.5                  1

Administrator                          $50 per hour          2                  2

computer programmer worked 50 hours = ($60 x 40) + ($60 x 10 x 1.5) = $3,300

administrator worked 48 hours = ($50 x 40) + ($50 x 8 x 2) = $2,800

Social security taxes:

  • Consultant = 6% x $4,000 = $240                        
  • Computer programmer = 6% x $3,300 = $198        
  • Administrator = 6% x $2,800 = $168

Medicare taxes:

  • Consultant = 1.5% x $4,000 = $60                        
  • Computer programmer = 1.5% x $3,300 = $49.50        
  • Administrator = 1.5% x $2,800 = $42

Federal income taxes:

  • Consultant: amount subject to withholding = $4,000 - (2 x $75) = $3,850. Federal income taxes = $356.90 + [28% x ($3,850 - $1,796) = $932.02                        
  • Computer programmer = amount subject to withholding = $3,300 - (1 x $75) = $3,225. Federal income taxes = $356.90 + [28% x ($3,225 - $1,796) = $757.02            
  • Administrator = amount subject to withholding = $2,800 - (2 x $75) = $2,650. Federal income taxes = $356.90 + [28% x ($2,650 - $1,796) = $596.02  

Gross pay:

  • consultant $4,000
  • computer programmer $3,300
  • administrator $2,800

Net pay:

  • consultant $4,000 - ($240 + $60 + $932.02) = $2,767.98
  • computer programmer $3,300 - ($198 + $49.50 + $757.02) = $2,295.48
  • administrator $2,800 - ($168 + $42 + $596.02) = $1,993.98
6 0
3 years ago
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