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3 years ago

12

Roslyn has decided to purchase a $14,000 car. She plans on putting $2000 down toward the purchase, and financing the rest at a 6

% interest rate for 4 years. Find her monthly payment

2 answers:

just olya [345]3 years ago

8 0

using the payment function, a $12,000 loan for 4 years at a rate of 6%, your payment would be $281.82

Illusion [34]3 years ago

4 0

Answer:

$PMT=\frac{0.005 * 12000}{1-(1+0.005)^{-48}} = 281.82$

And the monthly payment for this case would be $281.82

Option D.

Explanation:

For this case the total for the car is $14000 and she gives a downpayment of $2000 so then we have remaining $14000-2000 = $12000 that needs to be financed.

For this case we have that the $APR = 6\%$ and the total time is given by t=4 years.

We want to calculate the monthly payment and we can use the following formula:

$PMT = \frac{r PV}{1-(1+r)^{-n}}$

For this case our value for r is given by $r = \frac{0.06}{12}=0.005$ since we need the rate monthly

$PV= 12000$

$n = 4*12 = 48 months$ in the 4 years

And if we replace we got:

$PMT= \frac{0.005 * 12000}{1-(1+0.005)^{-48}} = 281.82$

And the monthly payment for this case would be $281.82

Option D.

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2 years ago

A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month is given by upper c equals 0.

Fantom [35]

Answer:

The cost per month is increasing at a rate $365.

Explanation:

Differentiation Formula

$\frac{d}{dx}(x^n)= nx^{n-1}$
$\frac{d}{dx}(a)=0$ [ where a is a constant]
$\frac{d}{dx}(ax^n)=a \frac{d}{dx}(x^n)= anx^{n-1}$

Given that,

A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month is given by

$c=0.2x^2+10,000$ .

Again given that,

the rate of changing production is 13 unit per month

i.e $\frac{dx}{dt}=13$

To find the cost per month, we need to find out the value $\frac{dc}{dt}$ when production is changing at the rate 13 units per month and the production is 70 units.

$c=0.2x^2+10,000$

Differentiating with respect to t

$\frac{d}{dt}(c)=\frac{d}{dt}(0.2x^2)+\frac{d}{dx}(10,000)$

$\Rightarrow \frac{dc}{dt}=0.2\frac{d}{dt}(x^2)+\frac{d}{dx}(10,000)$

$\Rightarrow \frac{dc}{dt}=0.2\times 2x^{2-1}\frac{dx}{dt}+0$

$\Rightarrow \frac{dc}{dt}=0.4x\frac{dx}{dt}$

Plugging $\frac{dx}{dt}=13$

$\Rightarrow \frac{dc}{dt}=0.4x\times 13$

$\Rightarrow \frac{dc}{dt}=5.2x$

$\frac{dc}{dt}|_{x=70}=5.2\times 70$ [ plugging x=70]

=364

[ The unit of c is not given. Assume that the unit of c is dollar.]

The cost per month is increasing at a rate $365.

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3 years ago

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zepelin [54]

True hope this helps!!

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3 years ago

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3 years ago

EcoFabrics has budgeted overhead costs of $1,039,500. It has allocated overhead on a plantwide basis to its two products (wool a

vichka [17]

Answer:

1. Cutting $1.80 per machine hour

Design $390 per setup

2. Wool product line $627,000

Cotton Product line $412,500

3. Overhead rate $2.10

4. Wool Product line $519,750

Cotton Product line $519,750

Explanation:

1. Calculation to determine the overhead rate using activity based costing.

Overhead rate using the activity based costing

Cutting = Overhead / Total Machine hours

= $396,000 / 220,000

= $1.80 per machine hour

Design = Overhead / Number of setups

= $643,500 / 1,650

= $390 per setup

2. Calculation to determine the amount of overhead allocated to the wool product line and the cotton product line using activity-based costing

Overhead allocated to the wool product line and the cotton product line

Wool product line = (110,000 * $1.80) + (1,100 * $390)

Wool product line= $198,000 + $429,000

Wool product line= $627,000

Cotton Product line = (110,000 * $1.80) + (550 * $390)

Cotton Product line= $198,000 + $214,500

Cotton Product line= $412,500

3.Calculation to determine the overhead rate using traditional approach.

Overhead rate using traditional approach

Overhead rate = Total Overhead / Direct labor hours

Overhead rate= $1,039,500 / 495,000

Overhead rate= $2.10

4. Calculation to determine What amount of overhead would be allocated to the wool and cotton product lines using the traditional approach

Overhead allocated using the traditional method

Wool Product line = $1,039,500 / 2

Wool Product line= $519,750

Cotton Product line = $1,039,500 / 2

Cotton Product line= $519,750

4 0

3 years ago