Use the formula for the sum of the first n terms of a geometric sequence to solve.Find the sum of the first 13 terms of the geometric sequence: 8, 24, 72, 216, 648, . . . .

A. 6,377,290
B. 6,377,325
C. 6,377,268
D. 6,377,288


Answer: D

Mathematics

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Solve by using addition, subtraction, multiplication, or division as needed.At the beginning of the year, Miss Tokarsky put $3003 in the bank. At the end of the year $623 in interest had been earned. How much money was in the account at the end of the year?

A. $2380 B. $3626 C. $1,870,869 D. $3615

Mathematics

Graph the quadratic function using its vertex, axis of symmetry, and intercepts.f(x) = -3x2 - 2x - 10

A. vertex 
intercept (0, -10)

B. vertex 
intercept (0, 10) 

C. vertex 
intercept (0, 10) 

D. vertex 
intercept (0, -10)  

Mathematics

Use the payoff matrix to determine the best strategy.A clothing manufacturer must decide which of two clothing lines to emphasize for the spring season, her usual line or a budget line. Her success with each line depends on the state of the economy next year. She estimates the payoff matrix to be as follows:StrongIn-betweenWeakEconomyEconomyEconomyEconomists believe that there is a 5% chance of a strong economy next year, a 75% chance of a weak economy, and a 20% chance of an in-between economy. What is the manufacturer's best strategy?

A. Wait and see B. Emphasize the usual line C. Emphasize the budget line

Mathematics

Sketch the region bounded by the graphs of the given equations and find the area of their region.



Mathematics