3 years ago

Kim places £500 in a bank account the pays 3% simple interest each year

Mathematics

1 answer:

IgorLugansk [536]3 years ago

8 0

She will gain 3% each year and after one year she will gain £15 leaving her total at £515

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What are two different ways you could find the value of a? Explain these methods.

Ulleksa [173]

See the attached figure to better understand the problem

we know that

1) First way to find the value of a
in the triangle ABC
<span>applying the Pythagorean theorem
AC</span>²=AB²+BC²--------> BC²=AC²-AB²-----> BC²=25²-15²-----> BC²=625-225
BC²=400--------> BC=20 units
a=BC
a=20 units

2) Second way to find the value of a

in the triangle ABD

AB²=AD²+BD²--------> BD²=AB²-AD²-----> BD²=15²-9²---> BD²=144
BD=12 units

in the triangle BDC
a=BC
BC²=BD²+DC²-----> 12²+16²----> 144+256------> BC²=400
BC=20 units
a=20 units