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Morgarella [4.7K]
3 years ago
6

Linda Baer has already saved ​$3 comma 978 to buy a used vehicle. Ignoring taxes and assuming her money is invested in a money m

arket account earning 6 percent compounded​ annually, how long will it take to buy a car that costs ​$7 comma 124​?
Business
1 answer:
Mkey [24]3 years ago
7 0

Answer:

Given the currents conditions, it will take 10 years to reach the amount required.

Explanation:

Giving the following information:

Linda Baer has already saved ​$3,978 to buy a used vehicle.

The account earns 6 percent compounded​ annually.

Final value= ​$7,124

To calculate the amount of time required we need to use the following formula:

n=[ln(FV/PV)]/ln(1+r)

n= [ln(7,124/3,978)]/ln(1+0.06)

n= 0.253/0.0253

n= 10

Given the currents conditions, it will take 10 years to reach the amount required.

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Lena and Joe are two of the partners in a business Lena makes $3 in profits for every $4 that Joe makes if Joe makes $60 profit
melomori [17]
Lena makes $45 profit.

Extra information:

The amount of profit Lena makes is 3/4th of the profit Joe makes, seeing as when Joe makes $4 profit, Lena makes $3 and $3 is 3/4th of $4. Therefore, when Joe makes a profit of $60, Lena makes a profit of (60 x 3/4) $45.
7 0
3 years ago
_____ oversee the activities of first-line managers.
natta225 [31]
<span>Mid-level managers oversee the activities of first-line managers. Mid-level managers are responsible for their department and report to top management. Mid-level managers must make sure that resources are allocated correctly and must invest money in training and development, materials, supplies and technology. They communicate the goals and strategies to first-line managers.</span>
6 0
3 years ago
If the world's population increased exponentially from 5.937 billion in 1998 to 6.771 billion in 2008 and continued to increase
Vaselesa [24]

Answer:

The world's population would have been 7.1137 billion in 2012, and this is 0.0437 billion (i.e. 7.1137 - 7.07 = 0.0437) higher compared to the population reference bureau estimate of 7.07 billion in July 2012.

Explanation:

This can be computed using the following exponential formula:

P(t) = P(0)a^t ............................ (1)

Where;

P(t) = World population in year t.

P(0) = World population in year 0 which is 1998 = 5.937 billion

a = base = ?

t = number of years

Substituting the value into equation (1), we have:

P(t) = 5.937 * a^t .......................................... (2)

Since we have 10 years from 1998 to 2008 (i.e. 2008 - 1998 = 10), we have:

P(t) = P(10) = World population in 2008 = 6.771 billion

t = 10

Substituting the value into equation (2) and solve for a, we have:

6.771 = 5.937 * a^10

a^10 = 6.771 / 5.937

a^10 = 1.1405

a = \sqrt[10]{1.405}

a = 1.013

Since we have 14 years from 1998 to 2012 (i.e. 2012 - 1998 = 14), we now have:

P(t) = P(14) = World population in 2012 = ?

P(0) = World population in year 0 which is 1998 = 5.937 billion

a = 1.013 as already calculated above

t = 14

Substituting the value into equation (1), we have:

P(14) = 5.937 * 1.013^14

P(14) = 5.937 * 1.192

P(14) = 7.1137 billion

Therefore, the world's population would have been 7.1137 billion in 2012, and this is 0.0437 billion (i.e. 7.1137 - 7.07 = 0.0437) higher compared to the population reference bureau estimate of 7.07 billion in july 2012.

6 0
4 years ago
The Baldwin Company currently has the following balances on their balance sheet: Total Assets $167,705 Total Liabilities $69,461
Andrews [41]

The common stock next year would be $32546

The total assets (current) =  $167,705

Total assets (next year) = $167,705 +  $55,000 = $222705

The total liabilities (current)=  $69,461

The total liabilities (next year)=  $69,461

The total retained earnings (current) = $88,498

The total retained earnings (next year) = $88,498 + 44,200 - $12000 = $120698

<u>Common stock (current)</u>

=  $167,705 - $69,461-$88,498

= $9746

<u>Common stock (next year)</u>

= $222705 - $69,461 - $120698

= $32546

The common stock next year would be $32546

Read more on common stock:

brainly.com/question/25749153

5 0
3 years ago
Ramort Company reports the following cost data for its single product. The company regularly sells 20,000 units of its product a
kotykmax [81]

Answer:

Contribution margin per unit= $33

Explanation:

Giving the following information:

The company regularly sells 20,000 units of its product for <u>$60 per unit. </u>

<u>Direct materials $ 10 per unit </u>

<u>Direct labor $ 12 per unit</u>

<u>Overhead costs for the year Variable overhead $ 3 per unit </u>

Fixed overhead per year $ 40,000

Selling and administrative costs:

<u>Variable $ 2 per unit </u>

Fixed $ 65,200

Normal production level= 20,000 units

Contribution margin= Selling price - unitary variable costs

Unitary variable cost= direct materials + direct labor + variable manufacturing overhead + variable selling and administrative

Unitary variable cost= 10 + 12 + 3 + 2= $27

Contribution margin per unit= 60 - 27= $33

3 0
3 years ago
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