Write the sentence as an equation containing parentheses. Solve the equation.

Skate World charges $90 for 10 children and $8 for each additional child. How many children can be invited on a $170 budget? Let the number of children be x.


Mathematics

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Find the exponential function that satisfies the given conditions.Initial mass = 7 g, decreasing at a rate of 3.7% per day

A. m(t) = 7 ? 0.963t B. m(t) = 3.7 ? 0.93t C. m(t) = 7 ? 1.037t D. m(t) = 7 ? 1.37t

Mathematics

Estimate the present value of an annuity if payments are $1,500 monthly for 15 years and the account earns interest at the rate of 10% per year compounded continuously. Round your answer to the nearest dollar. ?

A. $124,516 B. $124,708 C. $131,206 D. $126,483 E. $139,837

Mathematics

Find the fundamental matrix F for the absorbing Markov chain with the given matrix.

A.

B.

C.

D.

Mathematics

Use a Pythagorean identity to find the exact value of the expression.Given cot t = -7 and csc t < 0, find csc t.

A. csc t = -48 B. csc t = -6 C. csc t = -50 D. csc t = -8

Mathematics