Questions in mathematics

Questions in mathematics

[Jawaban] A shortstop makes an error by dropping the ball. As the ball drops, its height [tex](h)[/tex] in feet, as a function of time [tex](t)[/tex], is modeled by [tex]h(t) = -16t^2 + 3[/tex]. A slow-motion replay of the error shows the play at half speed. What function describes the height of the ball in the replay? (Hint: The function squares the time, so half the time is also squared in the new function.) A) [tex]h(t) = -16(0.5t)^2 + 1.5[/tex] B) [tex]h(t) = \frac{-16t^2 + 3}{2}[/tex] C) [tex]h(t) = -16\left(\frac{t}{2}\right)^2 + 3[/tex] D) [tex]h(t) = -8t^2 + 3[/tex]

[Jawaban] Jamal is planning to invest up to $24,000 in City Bank or State Bank. He wants to invest at least $3,000 in City Bank but not more than $11,000. Since State Bank does not insure more than $18,000, he wants to invest no more than this amount in State Bank. The interest at City Bank is 6%, and the interest at State Bank is 11%. How much should he invest in each bank to earn the most interest?

[Jawaban] Use the equation [tex]f(s) = 8s + 15[/tex] to evaluate the function at each given value of \( s \). Explain what each result means in terms of the problem.

[Jawaban] Kimmy earns a $200 commission on all sales plus a base salary of $30,000. Her total income last year was $80,000. Write an equation to represent this situation.

[Jawaban] How do you solve the equation \(6x + 3 = 5x + 10\)?

[Jawaban] Rocky's family recipe for macaroni and cheese makes 4 servings of 310 calories each. Rocky decided to make 1.5 times the recipe. How many calories are in Rocky's batch of mac and cheese?

[Jawaban] Complete the sentence to express the same relationship between two quantities.

[Jawaban] 55 is 40% of what number?

[Jawaban] Merry had $20,000 to invest. She invested part of this money in bonds paying 10% annual simple interest and the rest of the money in a savings account giving 5% annual interest. At the end of the year, she received $1,800 as extra income. How much money did Merry place in the savings account?

[Jawaban] Multiplying or dividing two related quantities by the same number is called __________.