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Dylan invested some money in his bank.
He agreed a simple interest rate of 3% per annum for a period of 2 years.
At the end of the 2-year period the value of his investment increased by £84.
Work out the value of Dylan's initial investment.
Optional working
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Răspuns :

Răspuns:

To find the initial investment, we can use the formula for simple interest:

Simple Interest=P×R×T100Simple Interest=100P×R×T​

Where:

   PP is the principal amount (the initial investment)

   RR is the rate of interest per annum

   TT is the time the money is invested for in years

Given:

   R=3%=0.03R=3%=0.03 (expressed as a decimal)

   T=2T=2 years

   The interest earned is £84

We can rearrange the formula to solve for PP:

P=100×InterestR×TP=R×T100×Interest​

Substituting the given values:

P=100×840.03×2P=0.03×2100×84​

P=84000.06P=0.068400​

P=140000P=140000

So, Dylan's initial investment was £1400.

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