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krek1111 [17]
3 years ago
15

Find the size of each of 66 payments made at the end of each year into a 88​% rate sinking fund which produces ​$36000 at the en

d of 66 years.
The payment size is $
Mathematics
1 answer:
Assoli18 [71]3 years ago
8 0

Answer: $7787.99

Step-by-step explanation:

We know that the formula to find the periodic payment on an annuity is given by :-

P=\dfrac{r(PV)}{1-(1+r)^{-n}}, where PV is the present value , r is the rate of interest ( in decimal ) and n is the number of payments.

Given : Present value : $36000

Rate of interest = 8%=0.08

Time period = 6 years

Then , the periodic payment will be :-

P=\dfrac{(0.08)(36000)}{1-(1+0.08)^{-6}}\\\\\Rightarrow\ P=\dfrac{2880}{0.3698}\\\\\Rightarrow\ P=\$7787.99

Hence, the payment size is $7787.99.

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In circle J with m/HJK 126 and HJ = 14 units, find the length of arc HK.
Tresset [83]

The length of arc HK is 30.8 units

<h3>What is the length of arc?</h3>

The length of the arc is defined as the distance between two points on the arc on the circumference.

Length of arc = θ/360 x 2πr

where, r is the radius of arc and θ is the angle formed by the arc at the center.

Given, circle J with ∠HJK = 126° and HJ = 14 units'

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Learn more about length of arc.

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