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Volgvan
3 years ago
12

Can u guys PLEASE answer this question ASAP.

Mathematics
1 answer:
Andrej [43]3 years ago
8 0

Answer:

  • 1. Interest: $166.67

           Principal: $6,166.67

  • 2. Interest: $200.00

            Principal: $5,200.00

Explanation:

<u><em>1. $6000 for 50 days at 20% p.a</em></u>

<u><em></em></u>

In 20% pa, pa means "per annum", i.e. "per year".

Assume simple interest:

  • Principal: $6,000
  • interest: 20% pa
  • time = 50 days

Interest:

  • Interest = Principal × number of days × annual rate / 360

  • Interest = $6,000 × 50 × 20% / 360 = $166.67

Principal = principal + interest = $6,000 + $166.67 = $6,166.67

<u><em></em></u>

<u><em>2. $5000 for 5 months at 0.8% per month</em></u>

Assume, again, simple interest.

  • Principal: $5,000
  • interest: 0.80% per month
  • time = 5 months

Interest:

  • Interest = Principal × number of months × montly rate

  • Interest = $5,000 × 5 × 0.80%  = $200.00

Principal = principal + interest = $5,000 + $200.00 = $5,200

You can see that the accrued interests depend on the principal, the interest rate, and the time.

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