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Marrrta [24]
3 years ago
15

Find the amount (future value) of the ordinary annuity. (round your answer to the nearest cent.) $1500/semiannual period for 8 y

ears at 2.5%/year compounded semiannually
Mathematics
1 answer:
mixer [17]3 years ago
6 0
The formula of the future value of an annuity ordinary is
Fv=pmt [((1+r/k)^(kn)-1)÷(r/k)]
Fv future value?
PMT semiannual payment 1500
R interest rate 0.025
K compounded semiannual 2
N time 8 years
Fv=1,500×(((1+0.025÷2)^(2×8)
−1)÷(0.025÷2))
=26,386.75

Hope it helps!
You might be interested in
Which scale factors produce an expansion under a dilation of the original image?
alina1380 [7]

Answer:  The correct options are (A) 8 and (D) 7.

Step-by-step explanation:  We are given to select the correct scale factors that produces an expansion under a dilation of the original image.

The SCALE FACTOR of a dilation is defined as follows:

\textup{Scale factor}=\dfrac{\textup{length of a side of the dilated image}}{\textup{length of the corresponding side of the original image}}.

The dilation will be an expansion is the scale factor is greater than 1 (> 1),

and it will be a reduction if the scale factor is less than 1 (< 1).

Option (A) is

Scale factor = 8.

Since 8 > 1, so the scale factor of the dilation is greater than 1. This implies that the dilation is an expansion.

Option (B) is

Scale factor = 0.7.

Since 0.7 < 1, so the scale factor of the dilation is less than 1. This implies that the dilation is a reduction.

Option (C) is

Scale factor = 0.8.

Since 0.8 < 1, so the scale factor of the dilation is less than 1. This implies that the dilation is a reduction.

Option (D) is

Scale factor = 7.

Since 8 > 1, so the scale factor of the dilation is greater than 1. This implies that the dilation is an expansion.

Thus, the correct options are (A) 8 and (D) 7.

7 0
3 years ago
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Hello free plonts have a good day
sergejj [24]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
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Which quantity is proportional to 16⁄4?
Aleks [24]
4.

This is because 4 goes into 16 4 times, hence 4 x 4 being 16.

Therefore, the answer would be four.

Hope this helps!
6 0
3 years ago
Read 2 more answers
Helpppp me please!!!!
harina [27]
Hey there, again! :D

Since the angle measuring 38 degrees is adjacent to m<1, it will equal 180 degrees. 

180-38= 142

m<1= 142 degrees 

I hope this helps!
~kaikers
5 0
3 years ago
Can somebody help? Tysm
alukav5142 [94]
X is equal to 8. The work for that is on the attached picture.

5 0
3 years ago
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