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cluponka [151]
3 years ago
12

Dylan invested $4200 into a continuously compounded account with an interest rate of 2.4%. How much will she have in the account

after 11 years
Business
2 answers:
yanalaym [24]3 years ago
8 0

Answer:

$47,322.21

Explanation:

the formula for calculating future value when there is continuous compounding is : A x e^r x N

A= amount

e = 2.7182818

N = number of years

r = interest rate

42,000xe^0.024 x 11 = $47,322.21

Serga [27]3 years ago
4 0

Answer:

A≈5469

Explanation:

Use the formula for calculating compound interest A=P0ert where P0=4200, r=0.024, and t=11. Substitute the values into the formula and simplify.

A=4200e0.024⋅11

A=4200e0.264

A=4200(1.302)

A=5468.94

After 11 years, the balance in the account is A≈5469, rounded to the nearest dollar.  

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According to the law of increasing opportunity cost,
Alenkinab [10]

Answer:

The correct answer is a. production points outside the production possibility frontier are unattainable

Explanation:

Production possibility frontier graph is attached.

The production possibility frontier shows the possibilities of trade off between two products. The trade off in this frontier use all the resources available. So it is impossible to  reach a point outside the frontier, there are not enough resources.

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7 0
4 years ago
The following budget data pertain to the Machining Department of Yolkenverst Co.: Maximum capacity 62,000 units Machine hours pe
Marysya12 [62]

Answer:

Yolkenverst Co.

Machining Department

For the current year the department has a fixed overhead production volume variance, rounded to the nearest whole dollar, of:

= $7,148.

Explanation:

a) Data and Calculations:

Maximum capacity 62,000 units

Machine hours per unit 2.50

Variable factory overhead $ 4.20 per machine hour

Fixed factory overhead $ 432,500

Planned capacity units to be produced = 50,840 units (62,000 * 82%)

Actual capacity units produced = 50,000 units

Production volume variance = 840 units (50,840 - 50,000)

Fixed factory overhead rate of maximum capacity = $6.96 ($432,500/62,000)

Standard fixed overhead rate based on planned capacity = $8.51 ($432,500/50,840)

Fixed overhead production volume variance = production volume variance * standard fixed overhead rate based on planned capacity

= 840 * $8.51

= $7,148.4

= $7,148

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%283%20%5Csqrt%7B2%20-%209%7D%20%29%283%20%5Csqrt%7B2%20%2B%209%7D%20%29" id="TexFormula1" tit
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(3 \sqrt{2  - 9} )(3 \sqrt{2 + 9} ) \\ 3 \sqrt{2 - 9}   \:  \: \times  \:  \: 3 \sqrt{2 + 9}  \\ 3( \sqrt{2 - 9}  \times  \sqrt{2 + 9} ) \\ 3( \sqrt{(2 - 9)(2 + 9)}  \:  \: )  \\ by \: using \: identity \:  \:  {x}^{2}  -  {y}^{2}  = (x + y)(x - y) \\ 3( \sqrt{ {2}^{2} -  {9}^{2}  } ) \\ 3( \sqrt{4 - 81} ) \\ 3 \sqrt{77}

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7 0
4 years ago
Which of the following is true if the volume of sales increases​ (within a relevant​ range)? A. total fixed cost increases B. to
Firdavs [7]

Answer:

C. total variable cost increases

Explanation:

Fixed cost, as the name states, do not change with a variation on production output, therefore an increase in the sales volume does not change the fixed cost. Meanwhile, variable cost is the cost associated with the production of each unit, and thus depends on the sales volume. An increase in the volume of sales leads to an increase in total variable cost.

Therefore, the answer is C.

4 0
3 years ago
Jose and Maria work at a restaurant. Jose can make either 10 pancakes or 4 waffles; Maria can make either 8 pancakes or 2 waffle
masya89 [10]

Answer:

The cost of opportunity is 4 pancakes.

Explanation:

The cost of opportunity is by definition the amount of things you don't do or buy, because of choosing doing or buying something else. In this case, Maria can make:

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  • 2 waffles

This means that at every moment, she can choose to make or 8 pancakes or 2 waffles, but not both. If we continue with this logic, in the time she could make 1 waffle, she could have chosen to make 4 pancakes. This is her cost of opportunity.

3 0
3 years ago
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