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julia-pushkina [17]
4 years ago
9

A) i) Calculate the simple interest earned if a deposit of $ 900,000 is left for 12 years at an interest rate of 3% .

Mathematics
1 answer:
Bingel [31]4 years ago
7 0

Answer:

a)$ 324,000

ii) 2.5%

x=2, y=1

Step-by-step explanation:

(a)Simple interest is calculated by the formula

<em />

<em>I=Prt</em>

<em> I= Interest received</em>

<em>P=Principal</em>

<em>r= interest rate (per year)</em>

<em>t=time (in years)</em>

<em />

<em>I= ($900,000)(12)(3%)</em>

<em>I=$324,000</em>

<em />

(ii)From the formula above, we find r

I=Prt\\\\r=\frac{I}{Pt}\\ \\r=\frac{(180,000)}{(600,000)(12)}\\\\\\r=0.025\\\\

<em>r=2.5%</em>

<em />

<em>_______________________________</em>

<em>3x+y=7</em>

<em>2x-2y=2</em>

<em />

<em>Let's take 2x-2y=2</em>

we divide by 2 both sides and we get

<em>x-y = 1</em>

so <em>x = 1+y</em>

and replace it in the other formula:

<em />

<em>3(1+y) + y = 7</em>

<em>3+3y+y = 7</em>

<em>3 + 4y = 7</em>

<em>4y = 7-3</em>

<em>4y= 4</em>

<em>y = 1</em>

<em>x = 1+y</em>

<em>x = 1+1</em>

<em>x = 2</em>

<em />

<em />

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