Answer:
(a) Deposit ($) 100 <u>400</u> 50 300
Interest ($) <u>3</u> 12 <u>1.50</u> <u>___</u>
(b) If you deposited 200, the interest would be $6, while if you deposited $150, the interest would be $4.50. So, you would have $1.50 more interest if you deposited $200 than if you deposited $150, or 33.33% more.
Step-by-step explanation:
(a)
100 × 0.03 = 3
0.03 × 100 is 0.03 moved 2 place values to the left, which would move the 3 to the ones place. This would make 3% of 100 equal to 3.
x × 0.03 = 12
3% of what is 12
Divide 12 by 3 to get 1% of the number, which is 4.
Now we can multiply this by 100 to get 400, which is the amount of money that was deposited.
50 × 0.03 = 1.50
3% of 100 is 3
100 ÷ 2 = 50
(3% of 100) ÷ 2 = 3% of 50
So, 3 ÷ 2 = 1.50
300 × 0.03 = 9
3% of 100 is 3
100 × 3 = 300
(3% of 100) × 3 = 3% of 300
So, 3 × 3 = 9
(b)
100 × 1.5 = 150
(3% of 100) × 1.5 = 3% of 150
So, 3 × 1.5 = 4.50
100 × 2 = 200
(3% of 100) × 2 = 3% of 200
So, 3 × 2 = 6
Now, to find how much more interest you would have if you deposited $200 than if you deposited $150, then you subtract 6 by 4.50 to get 1.50.
If you're looking for a percentage, you do 4.50 divided by 1.50 to get 3, which means that 1.50 is 1/3 of 4.50. So, the percentage of that is 33.33% with a line over the two 3's past the decimal point to indicate that the decimal repeats.
