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

ii) calculate the interest rate for a 12 years investment of $600,000 to gained $180,000 interest.

solve the following pairs of simultaneous equations 3x + y = 7 and 2x - 2y = 2

a)$ 324,000

ii) 2.5%

x=2, y=1

Step-by-step explanation:

(a)Simple interest is calculated by the formula

I= Interest received

P=Principal

r= interest rate (per year)

t=time (in years)

I= ($900,000)(12)(3%)

I=$324,000

(ii)From the formula above, we find r

r=2.5%

_______________________________

3x+y=7

2x-2y=2

Let's take 2x-2y=2

we divide by 2 both sides and we get

x-y = 1

so x = 1+y

and replace it in the other formula:

3(1+y) + y = 7

3+3y+y = 7

3 + 4y = 7

4y = 7-3

4y= 4

y = 1

x = 1+y

x = 1+1

x = 2

3-4

step-by-step explanation:

the answer is 3-4 because both 45 and 60 has a multiple of 15.

45/3=15

60/4=15

therefore the odds against selecting a red is 4-3

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.