find the periodic payment which will amount to a sum of $18000 if an interest rate 66% is compounded annually at the end of 88 consecutive years.
the periodic payment is $

$ 2898.55

Step-by-step explanation:

The formula to calculate the periodic payment on an annuity is given by :-

, where PV is the present value , r is the rate of interest and n is the time period.

Given : Present value : $18000

Rate of interest = 6%=0.06

Time period = 8 years

Then , the periodic payment will be :-

Hence, the periodic payment is $ 2898.55.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.