To find the number of hours, the expression has to be solved.

asked 2021-06-07

I have $10,000 to invest for my daughter's car. I earned $215.04 when splitting the money into a 3% interest account and a 1.2% interest account. How much did I invest at each?

asked 2021-06-24

Explain how you determine the best polynomial function to use when modeling data.

asked 2021-09-22

Radical expression by factoring out largest perfect n-th power

Given: \(\sqrt[4]{64}\)

asked 2021-09-06

A dolphin jumps out of the water, as shown in the diagram. The function \(\displaystyle{h}=-{16}{t}^{{{2}}}+{26}{t}\) models the height h (in feet) of the dolphin after t seconds.

Time to reach 5 feet height.

Time to reach 5 feet height.

asked 2021-08-14

Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station. The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task. \(\displaystyle{\left({1},\ {3}\right)},\ {\left({2},\ {6}\right)},\ {\left({3},\ {12}\right)},\ {\left({4},\ {24}\right)}\)

Part A: Is this data modeling an algebraic sequence or a geometric sequence? Explain your answer.

Part B: Use a recursive formula to determine the time she will complete station 5. Show your work.

Part C: Use an explicit formula to find the time she will complete the 9th station. Show your work.

Part A: Is this data modeling an algebraic sequence or a geometric sequence? Explain your answer.

Part B: Use a recursive formula to determine the time she will complete station 5. Show your work.

Part C: Use an explicit formula to find the time she will complete the 9th station. Show your work.

asked 2021-05-18

Use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality. Parts for an automobile repair cost $175. The mechanic charges $34 per hour. If you receive an estimate for at least $226 and at most $294 for fixing the car, what is the time interval that the mechanic will be working on the job?

asked 2021-09-22

Planetary orbits. The formula \(\displaystyle{T}{\left({x}\right)}={x}^{{{\frac{{{3}}}{{{2}}}}}}\) calculates the time in years that it takes a planet to orbit the sun if the planet is x times farther from the sun than earth is.

a) Find the inverse of T

b) What does the inverse of T calculate?

Given:

The time in years that it takes a planet to orbit the sun if the planet is x times farther from the sun than earth is given by \(\displaystyle{T}{\left({x}\right)}={x}^{{{\frac{{{3}}}{{{2}}}}}}\)

a) Find the inverse of T

b) What does the inverse of T calculate?

Given:

The time in years that it takes a planet to orbit the sun if the planet is x times farther from the sun than earth is given by \(\displaystyle{T}{\left({x}\right)}={x}^{{{\frac{{{3}}}{{{2}}}}}}\)