Provide an appropriate response.A company repays a $40,000 loan by paying 20% of the outstanding loan every four months for five years and then pays off the rest. How much was the company's final payment?

Fill in the blank(s) with the appropriate word(s).


$1407.37

Mathematics

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Answer the question.How can the graph of f(x) = 0.8(x + 11)2 - 12 be obtained from the graph of y = x2?

A. Shift it horizontally 12 units to the left. Stretch it vertically by a factor of 16. Shift it 11 units down. B. Shift it horizontally 11 units to the left. Shrink it horizontally by a factor of 0.8. Shift it 12 units down. C. Shift it horizontally 11 units to the left. Shrink it vertically by a factor of 0.8. Shift it 12 units down. D. Shift it horizontally 11 units to the right. Shrink it vertically by a factor of 0.8. Shift it 12 units up.

Mathematics

Use the rules for exponents to rewrite the expression and then evaluate the new expression. (2-2)0 

A. 1
B.
C. 0
D. -4 

Mathematics

The graph of a function f is given. Use the graph to answer the question.Is f(20) positive or negative?

A. positive B. negative

Mathematics

Solve the problem.Between 7:00 AM and 8:00 AM, trains arrive at a subway station at a rate of 10 trains per hour  per minute). The following formula from statistics can be used to determine the probability that a train will arrive within t minutes of 7:00 AM. F(t) = 1 - e-0.17tDetermine how many minutes are needed for the probability to reach 30%.

A. 2.10 min B. 7.85 min C. 5.96 min D. 3.18 min

Mathematics