Simplify the expression, if possible.10log(1/4)

A.
B. log 
C. 10
D. 101/4


Answer: A

Mathematics

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At age 25 you start to work and are offered two retirement options.

? Retirement option 1: When you retire, you receive a lump sum of $25,000 for each year of service. ? Retirement option 2: When you start to work, the company will deposit $10,000 into an account that pays a yearly compound interest rate of 13%. ? A: Write a formula that gives your retirement payment , in dollars, if you retire after t years of service under retirement option 1. ? B: Write a formula that gives your retirement payment , in dollars, if you retire after t years of service under retirement option 2. ? C: Make a graph that shows the retirement payment for each option over the 40 years of service. ? D: How many years of service will result in the same payment from either option? (You will work more than 1 year.) Round your answer to two decimal places if necessary. ? What will be an ideal response?

Mathematics

Graph. Be sure to label the vertex.y = 2x2 - 2x + 1

A.

B.

C.

D.

Mathematics

Write the equation of a circle with the given center and radius.Center at (0, 0); Radius 7

A. x2 - y2 = 
B. x2 - y2 = 7
C. x2 + y2 = 49
D. x2 + y2 = 7

Mathematics

Find the interval of convergence of the series.

A. x ? 8 B. 6 ? x ? 8 C. -113 ? x ? 127 D. -? < x < ?

Mathematics