<span>Dorothea Lange had influenced the Farmer Security Administration with her art. They were able to contribute to society by setting up a Photography program, in showcasing the life of a farmer during the Great Depression. This program was able to move a lot of people with their pictures and documentations of the farmers. </span>
Answer:
Amount at the end of twentieth year is $12,300
Explanation:
Annuity means a set of fixed amount of payments either made to you or paid by you , at a fixed number of times over a course of defined period.
The case given in the question is of ordinary annuity , where fixed amount of payment are required at the end of each period.
FORMULA FOR FUTURE VALUE ORDINARY ANNUITY =
Where, C(cash flow) = $300,
I(interest rate) = 7%
N(number of period) = 20
FV ( Future value)
![FUTURE\ VALUE(FV)\ OF\ ORDINARY\ ANNUITY= CASH\ FLOW(C)\times \left [ \frac{1+I^{N}-1}{I} \right ])](https://tex.z-dn.net/?f=FUTURE%5C%20VALUE%28FV%29%5C%20OF%5C%20ORDINARY%5C%20ANNUITY%3D%20CASH%5C%20FLOW%28C%29%5Ctimes%20%5Cleft%20%5B%20%5Cfrac%7B1%2BI%5E%7BN%7D-1%7D%7BI%7D%20%5Cright%20%5D%29)
![FUTURE\ VALUE(FV)\ OF\ ORDINARY\ ANNUITY= \$300\times \left [ \frac{1+7\%^{20}-1}{7\%} \right ])](https://tex.z-dn.net/?f=FUTURE%5C%20VALUE%28FV%29%5C%20OF%5C%20ORDINARY%5C%20ANNUITY%3D%20%5C%24300%5Ctimes%20%5Cleft%20%5B%20%5Cfrac%7B1%2B7%5C%25%5E%7B20%7D-1%7D%7B7%5C%25%7D%20%5Cright%20%5D%29)
![FUTURE\ VALUE(FV)\ OF\ ORDINARY\ ANNUITY= \$300\times \left [ \frac{\ 1.07\ ^{20}-1}{7\%} \right ])](https://tex.z-dn.net/?f=FUTURE%5C%20VALUE%28FV%29%5C%20OF%5C%20ORDINARY%5C%20ANNUITY%3D%20%5C%24300%5Ctimes%20%5Cleft%20%5B%20%5Cfrac%7B%5C%201.07%5C%20%5E%7B20%7D-1%7D%7B7%5C%25%7D%20%5Cright%20%5D%29)
![FUTURE\ VALUE(FV)\ OF\ ORDINARY\ ANNUITY= \$300\times \left [ \frac{\ 3.87\ -1}{7\%} \right ])](https://tex.z-dn.net/?f=FUTURE%5C%20VALUE%28FV%29%5C%20OF%5C%20ORDINARY%5C%20ANNUITY%3D%20%5C%24300%5Ctimes%20%5Cleft%20%5B%20%5Cfrac%7B%5C%203.87%5C%20-1%7D%7B7%5C%25%7D%20%5Cright%20%5D%29)
![FUTURE\ VALUE(FV)\ OF\ ORDINARY\ ANNUITY= \$300\times \left [ \frac{\ 2.87}{7\%} \right ])](https://tex.z-dn.net/?f=FUTURE%5C%20VALUE%28FV%29%5C%20OF%5C%20ORDINARY%5C%20ANNUITY%3D%20%5C%24300%5Ctimes%20%5Cleft%20%5B%20%5Cfrac%7B%5C%202.87%7D%7B7%5C%25%7D%20%5Cright%20%5D%29)
= 861/7%
= $12,300
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Answer: B.) Product Association
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Answer:
$9,542
Explanation:
A loan is amortized by the equal annual payment, each payment is sum of the two payment made against the principal and interest for the period on due balance.
The Equal Payment of $15,142 includes the payment of interest for the period and Principal.
The Principal Payment is the net of Payment made and Interest expenses in the period.
Principal portion = $15,142 - $5,600 = $9,542
The principal will be reduced by $9,542.
Times interest earned ratio is calculated with the help of following formula:
Times interest earned ratio = Income before interest and tax / Interest
Income before interest and tax is calculated with the help of following formula:
Income before interest and tax = Sales – Cost of Goods Sold- Depreciation
Income before interest and tax = 438000-369000-37400 = 31,600
Hence, Times interest earned ratio = Income before interest and tax / Interest = 31600 / 13800 =<u> 2.29 times</u>
