What lump sum should be deposited in an account that will earn at an annual rate of 9%, compounded quarterly, to grow to $150,000 for retirement in 20 years? Round your answer to the nearest cent.
A. $147,330.10
B. $18,292.68
C. $53,571.43
D. $24,961.93
E. $25,294.49
Answer: E
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Provide an appropriate response.Given that we know the Fundamental Theorem of Calculus, why would we want to develop numerical methods for definite integrals?i) Antiderivatives are not always expressible in closed form.ii)Numerical methods are a good excuse to use our graphics calculator.iii) The function f(x) may not be continuous on [a,b].
A. Both i and iii are correct. B. Only ii is correct. C. Only iii is correct. D. Only i is correct.
Solve the problem.Two cars start from the same point and travel in the same direction. If one car is traveling 60 miles per hour and the other car is traveling at 47 miles per hour, how far apart will they be after 7.3 hours?
A. 438 mi B. 343.1 mi C. 781.1 mi D. 94.9 mi
Solve the problem.Production of television sets is given by P(x,y) = 100
-3, where x is work hours and y is the amount of capital. If 64 work hours and 8 units of capital are used, what is the production output?
A. 7085 B. 252 C. 71 D. 3
Express the number in scientific notation.8,196,000
A. 8.196 × 10-6 B. 8.196 × 105 C. 8.196 × 106 D. 8.196 × 10-5