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Gnom [1K]
4 years ago
10

lois invests 650 every 6 months at 4.6%/a compounded semi-annually for 25 years. How much interest will she earn after the 25th

year
Mathematics
1 answer:
irina [24]4 years ago
4 0
Future value annuity is given by:
FV=P[((1+r)^n-1)/r]
From the information:
P=650
r=0.046/2=0.023
n=25*2=50

Plugging our values in the formula we get:
FV=650[((1+0.023)^50-1)/0.023]
FV=59837.365
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Assembly Department $280,000
DIA [1.3K]
<h2><u>Answer :-</u></h2>

A. Commercial 540

Residential 360

B. Commercial 585

Residential 390

<h2><u>Explanation :-</u></h2>

a) Calculation to Determine the per-unit factory overhead allocated to the commercial and residential motors .

First step is to calculate the Plantwide overhead rate using this formula

Plantwide overhead rate =Estimated overhead /Estimated machine hours

Let plug in the formula

Plantwide overhead rate = 1080000/9000

Plantwide overhead rate = $ 120 per MH

Now let Determine the per-unit factory overhead allocated to the commercial and residential motors

Using this formula

Per -unit factory overhead allocated=Actual MH per unit *Plantwide overhead rate

Let plug in the formula

Per -unit factory overhead allocated to COMMERCIAL=4.5 dmh*120

Per -unit factory overhead allocated to COMMERCIAL=540

Per -unit factory overhead allocated to RESIDENTIAL=3.0 dmh*120

Per -unit factory overhead allocated to RESIDENTIAL=360

Therefore the per-unit factory overhead allocated to the commercial and residential motors under the single plantwide factory overhead rate method will be:

Commercial 540

Residential 360

b. Calculation to Determine the per-unit factory overhead allocated to the commercial and residential motors

First step is to calculate the Departmental overhead rate

ASSEMBLY TESTING

Estimated overhead 280,000 800,000

÷Estimated machine hours each department 4,000 5,000

=Departmental overhead rate 70 160

Now calculation the per-unit factory overhead allocated to the commercial and residential motors

COMMERCIAL RESIDENTIAL

Assembly 1.5 dmh*70=105 1.0 dmh*70=70

Testing 3.0*160= 480 2.0*160= 320

Per -unit factory overhead allocated 585 390

(105+480=585)

(70+320=390)

Therefore the per-unit factory overhead allocated to the commercial and residential motors under the multiple production department factory overhead rate method will be:

Commercial 585

Residential 390

7 0
3 years ago
Write an equation of the line that passes through point (-1, 5) and has the slope m = 4.
PolarNik [594]

Answer:

y=4x+5

Step-by-step explanation:

y=mx+c

gradient =m

y intercept=c

m=4

c=5

so

y=4x+5

4 0
3 years ago
Read 2 more answers
A spiral staircase turns $270^\circ$ as it rises 10 feet. The radius of the staircase is 3 feet. What is the number of feet in t
Anastaziya [24]

The number of feet in the length of the handrail is 17.3 ft.

The easiest way to see this is to imagine that we can "unfold" the spiral to create a rectangle

The bottom side of the rectangle is just the arc length of a circle with a radius of 3 ft  turned through 270°= (3/4) of a whole revolution

(3/4) (2pi) (3)  =  (9/2)pi ft =   4.5 pi ft

The side of the rectangle will be the rise of the staircase = 10ft

And the diagonal of the rectangle will be the length of the handrail

We can use the Pythagorean Theorem to solve this

Handrail length = √ [ (4.5 pi)^2 + 10^2 ]  ≈  17.3 ft

Pythagorean theorem is the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Learn more about the Pythagorean theorem here: brainly.com/question/343682

#SPJ4

3 0
2 years ago
Mark and Jacob share 5 yards of ribbon equally. How much ribbon will each get?
vladimir1956 [14]

Answer:

2.5 each

Step-by-step explanation:

dividing by 2......

5 0
3 years ago
Read 2 more answers
Which expression is equivalent to 30(1/2x-2)+40(3/4y-4)?
Anna11 [10]

Answer:

808935(+57_)/868

628)+6_-674'+7 36;()87&daimatere

Step-by-step explanation:

fish kkgcjojbcryihcxf

8 0
3 years ago
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