Suppose that ln 2 = a and ln 5 = b. Use properties of logarithms to write each logarithm in terms of a and b.ln 

A. (a2 + b)
B. (a - b)
C. (a + b)
D. (2a + b)


Answer: D

Mathematics

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Increasing the down payment on a mortgage reduces both the size of the monthly payments and the total interest paid. Calculate the reduction in the monthly payment by increasing the down payment by the amount specified, and the amount saved on interest over the life of the loan. Assume the mortgage is for 20 years and use the table to find the monthly payments. 

A. $151.80, $36,432.00 B. $164.68, $39,523.20 C. $139.38, $33,451.20 D. $123.51, $29,642.40

Mathematics

Use a ruler, protractor, and compass to construct, when possible, a triangle with the stated properties. Determine whether one triangle can be constructed, two or more noncongruent triangles can be constructed, or no triangle can be constructed.A triangle with sides of length 9 cm, 4 cm and 11 cm.

A. No triangle can be constructed. B. Exactly one triangle can be constructed. C. Two or more noncongruent triangles can be constructed.

Mathematics

Find the average inventory.

A. $76,064.00 B. $63,874.20 C. $79,842.75 D. $319,371.00

Mathematics

Estimate the sum or difference by first rounding each value to the indicated place value.34.78 + 145.1round each to the nearest one

A.  180 B. 175 C. 170 D. 195

Mathematics