Solve the following exponential equations.

Choose the quadratic equation that has a leading coefficient of 1 and solutions of 3 + square root of 2 and 3 - square root of 2

A population is initially 50 and is known to decline at a continuous rate of 2.95% per year. Estimate the half life of the population

A video game is marked down from the original price $50 to the sale price $43. What is the percent of decrease for this item?

Julio has a house worth $220,000. He has a $175,000 mortgage. Julio says that in this situation, his asset is really only $45,000.

Consider the function f (x) = -23x+5. What is f (5/2) ? Enter your answer, as a simplified fraction, in the box. f (5/2) =

What is the value of k in the product of powers below? 10 Superscript negative 3 Baseline times 10 times 10 Superscript k Baseline = 10 Superscript negative 3 Baseline = StartFraction 1 Over 10 cubed EndFraction

There are 15 marbles in a bag. 7 are red, the rest are a variety of colors. You want the chance of getting red to be at least 50%. How many red do you need to add?

Write 450 miles per 18 gallons as a unit rate (miles per gallon)

If 15 hats cost $120 and all the hats all cost the same amount, what is the price of each hat?

Questions 6 to 10 are related. based on a random sample of n=15 observations, we have obtained a sample mean of x (bar) = 1050. the goal is to test: h (0) : μ≤1000 and h (a) : μ>1000 assume that x is normally distributed with σ=150.