Respuesta :

Answer:

[tex]\boxed {\boxed {\sf \$300.00}}[/tex]

Step-by-step explanation:

The formula for simple interest is:

[tex]I=P*R*T[/tex]

where P is the principal amount of money, R is the interest rate as a decimal, T is the time.

We know the principal amount is $2500, the interest rate is 6%, and the time is 2 years.

We must convert the interest rate to a decimal.

  • Divide by 100 or move the decimal place two spots to the left.
  • 6/100=0.06      or       6.0 --> 0.6 --> 0.06

Now we know all the values.

[tex]P= 2500 \\R= 0.06 \\T= 2[/tex]

Substitute the values into the simple interest formula.

[tex]I= (2500)(0.06)(2)[/tex]

Multiply.

[tex]I=(2500)(0.12)\\I=300= \$ 300[/tex]

The simple interest is $300.00

[tex] \bf \underline{Given :-}[/tex]

[tex] \sf• \: Principle (p) = \$ \: 5200[/tex]

[tex] \sf• \: Rate \: of \: interest (r) = 6 \: \% = \frac{6}{100} [/tex]

[tex] \sf• \: Time \: (t) = 2 \: years[/tex]

[tex] \\[/tex]

[tex] \bf \underline{To \: Find :-}[/tex]

[tex] \sf• \: The \: Simple \: Interest \: (I)[/tex]

[tex] \\ [/tex]

[tex] \bf \underline{Solution :-}[/tex]

[tex] \sf We \: know \: that, [/tex]

[tex] \red {\bigstar\bf { \: I = prt}}[/tex]

[tex]⟹I = 2500 \times \frac{6}{100} \times 2[/tex]

[tex]⟹I = 300[/tex]

[tex] \\ [/tex]

[tex] \bf \blue{Hence, \: the \: \: Simple \: \: Interest \: \: is \: \: \$ \: 300. }[/tex]