Provide an appropriate response.Given an interest rate of 4.6% compounded semiannually, find the present value of the following annuity: $2100 at the end of every six months for six years and $3000 at the end of every six months for four more years.
Fill in the blank(s) with the appropriate word(s).
$38,318.51
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Write the decimal as a percent.0.27
A. 0.027% B. 2.7% C. 270% D. 27%
The demand equation for a certain brand of metal alloy audiocassette tape is , where x represents the number (in thousands) of ten-packs demanded each week when the unit price is $p. How fast is the quantity demanded increasing when the unit price/ten-pack is $10 and the selling price is dropping at the rate of $.13/ten-pack/week? Round the answer to the nearest integer.
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Hint: To find the value of x when p = 10, solve the equation for x when p = 10.
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Increasing at the rate of __________ ten packs/wk.
Fill in the blank(s) with the appropriate word(s).
Translate to an equation and solve.What is 84% of 104?
A. n = 0.84 × 104; 87.36 B. n = 84 × 104; 8736 C. 104 = 0.84 × n; 873.6 D. n = 0.084 × 104; 8.74
Solve the problem.In the formula A(t) = A0ekt, A is the amount of radioactive material remaining from an initial amount A0 at a given time t, and k is a negative constant determined by the nature of the material. A certain radioactive isotope decays at a rate of 0.275% annually. Determine the half-life of this isotope, to the nearest year.
A. 109 yr B. 3 yr C. 252 yr D. 182 yr