Question

1. the simple interest i earned on a principal amount p at a rate r over time t can be determined using the formula i = prt.

solve for i in terms of p, r, and t.
a. i = p - rt
b. i = \\(\frac{p}{rt}\\)
c. p = \\(\frac{i}{rt}\\)
d. p = \\(\frac{rt}{i}\\)

1. the circumference c of a circle with radius r can be determined using the formula c = 2πr.

solve for r in terms of c and π.

Explanation:

Problem 2

Step1: Recall the formula

The formula for simple interest is given as \( I = Prt \). We need to solve for \( P \) (wait, the question says "Solve for \( I \)" but the options are solving for \( P \)? Wait, maybe a typo, but let's check the options. Wait, the question says "Solve for \( I \)" but the options are solving for \( P \). Wait, maybe the question is miswritten, and it's "Solve for \( P \)". Let's proceed. The formula is \( I = Prt \). To solve for \( P \), we divide both sides by \( rt \).

Step2: Solve for \( P \)

Starting with \( I = Prt \), divide both sides by \( rt \) (assuming \( rt
eq 0 \)): \( \frac{I}{rt}=P \), which can be written as \( P = \frac{I}{rt} \), which is option C.

Step1: Recall the formula

The formula for the circumference of a circle is \( C = 2\pi r \). We need to solve for \( r \) in terms of \( C \) and \( \pi \).

Step2: Solve for \( r \)

Starting with \( C = 2\pi r \), divide both sides by \( 2\pi \) (assuming \( 2\pi
eq 0 \), which it isn't): \( r=\frac{C}{2\pi} \).

Answer:

C. \( P = \frac{I}{rt} \)

Problem 3