The area of the circle is 201.06 ft^2. The circumference is 50.27 ft
Anya's parents will have $44,440.71 after 6 years if they invested in a bank.
The interest rate given is an annual rate yet will be compounded quarterly. You therefore need to convert the interest rate to a quarterly rate.
= 4% / 4 quarters
= 1% per quarter
Number of periods:
= Number of years x Number of quarters in year
= 6 x 4
= 24 quarters
The amount they will have in their account is:
<em>= Amount x ( 1 + rate) ^ number of periods </em>
= 35,000 x ( 1 + 1%)²⁴
= $44,440.71
In conclusion, they will have $44,440.71 if they invested their money in a bank for 6 years.
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Answer:
part A) The scale factor of the sides (small to large) is 1/2
part B) Te ratio of the areas (small to large) is 1/4
part C) see the explanation
Step-by-step explanation:
Part A) Determine the scale factor of the sides (small to large).
we know that
The dilation is a non rigid transformation that produce similar figures
If two figures are similar, then the ratio of its corresponding sides is proportional
so
Let
z ----> the scale factor

The scale factor is equal to

substitute

simplify

Part B) What is the ratio of the areas (small to large)?
<em>Area of the small triangle</em>

<em>Area of the large triangle</em>

ratio of the areas (small to large)

Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures
In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In similar figures the ratio of its areas is equal to the scale factor squared
Answer: -1r = 6 then divide 6 by -1 which your answer would be r= -6
Step-by-step explanation: