Question
upstudy study bank question image url

B. To find the loan period \( t \), solve \( I=\operatorname{Prt} \) for \( t \). (3) \[ \begin{aligned} I=P \times r \times t & =7,500 \times \\ & =450 \times t \\ & =t \end{aligned} \] The loan period was \( \qquad \) years.

Ask by Burgess Estrada. in the United States
Jan 26,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

The loan period is approximately 16.67 years.

Solution

Solve the equation \( I=Prt \). Solve the equation by following steps: - step0: Solve for \(t\): \(I=Prt\) - step1: Swap the sides: \(Prt=I\) - step2: Divide both sides: \(\frac{Prt}{Pr}=\frac{I}{Pr}\) - step3: Divide the numbers: \(t=\frac{I}{Pr}\) The equation \( I=Prt \) can be solved for \( t \) as follows: \[ t = \frac{I}{Pr} \] Substitute the given values into the equation: \[ t = \frac{7500}{450} \] \[ t = 16.67 \] Therefore, the loan period is approximately 16.67 years.

Reviewed and approved by the UpStudy tutoring team

error msg
Explain
Simplify this solution

The Deep Dive

To solve for \( t \) in the equation \( I = Prt \), you need to rearrange the formula to isolate \( t \). This means you divide both sides by \( Pr \): \[ t = \frac{I}{Pr} \] In this scenario, if you plug in the numbers with \( I = 450 \), \( P = 7500 \), and \( r = 0.06 \) (assuming 6% as the interest rate), you can calculate \( t \) and find that the loan period is \( 1 \) year. In real-world scenarios, understanding the loan period is crucial in making informed financial decisions. Shorter loan periods often mean higher monthly payments but less interest paid overall, while longer periods can ease monthly expenses but result in more interest paid over time. So be strategic when choosing your loan term!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy