You want to study at the Hogwarts School of Witchcraft and Wizardry after three years. You need 910910 pieces of muggle-money to study there. You decide to deposit some pieces in the bank at an annual interest rate of 10\%10%.
How many pieces should you deposit today if you want to use the total amount to pay the fees?

Respuesta :

Answer:

You should deposit 700 pieces today if you want to use the total amount to pay the fees.

Step-by-step explanation:

Suppose, you should deposit [tex]P[/tex] number of pieces today.

Formula for simple interest:    [tex]I= P*r*t[/tex] , where I = Amount of interest, P= Initial deposit amount, r= rate of interest in decimal form and t= time duration.

Here, the [tex]P[/tex] number of pieces is deposited at an annual interest rate of  10% for three years. That means,  [tex]r= 10\%= 0.10[/tex] and [tex]t= 3[/tex]

Using the above formula, we will get.......

[tex]I= P*0.10*3 = 0.3P[/tex]

Given that, you need total 910 pieces of muggle-money to study after three years. So, the equation will be......

[tex]P+I= 910\\ \\ P+0.3P=910\\ \\ 1.3P=910\\ \\ P=\frac{910}{1.3}=700[/tex]

So, you should deposit 700 pieces today if you want to use the total amount to pay the fees.

Answer:

You should deposit 700 pieces today if you want to use the total amount to pay the fees.

Step-by-step explanation: