Answer:
<u>After a 75% increase, it would become</u>
x + 75%x = x + 0.75x = x(1 + 0.75) = 1.75x
<u>After a 50% decrease, it would become</u>
1.75x - 50%(1.75x) = 1.75x - 0.5(1.75x) = 1.75x - 0.875x = 0.875x = ![\frac{7}{8} x](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B8%7D%20x)
Because
is less than x, the new amount would be less than the original.
Answer:
Right
Step-by-step explanation:
The amount of interest Molly will earn after 5 years on a deposit of
compounded annually over 5 years is ![\$27.63](https://tex.z-dn.net/?f=%5C%2427.63)
First, we need to find the future value of her investment, then we subtract the original deposit from it to get the amount of interest she will get at the end of 5 years.
The future value of an investment that is compounded annually is given by
![A=P(1+r)^t](https://tex.z-dn.net/?f=A%3DP%281%2Br%29%5Et)
where
![A=\text{Amount of money in Molly's account after 5 years}\\P=\text{Molly's initial deposit into her account}=\$500\\r=\text{The annual interest rate as a decimal}=0.05\\t=\text{The time the money is invested (in years)}=5](https://tex.z-dn.net/?f=A%3D%5Ctext%7BAmount%20of%20money%20in%20Molly%27s%20account%20after%205%20years%7D%5C%5CP%3D%5Ctext%7BMolly%27s%20initial%20deposit%20into%20her%20account%7D%3D%5C%24500%5C%5Cr%3D%5Ctext%7BThe%20annual%20interest%20rate%20as%20a%20decimal%7D%3D0.05%5C%5Ct%3D%5Ctext%7BThe%20time%20the%20money%20is%20invested%20%28in%20years%29%7D%3D5)
Substituting the available values into the formula and solving
![A=100(1+0.05)^5=100(1.05)^5 \approx \$ 127.63](https://tex.z-dn.net/?f=A%3D100%281%2B0.05%29%5E5%3D100%281.05%29%5E5%20%5Capprox%20%5C%24%20127.63)
The interest Molly will earn after 5 years is
![A-P=\$127.63-\$100=\$27.63](https://tex.z-dn.net/?f=A-P%3D%5C%24127.63-%5C%24100%3D%5C%2427.63)
Therefore, the amount of interest Molly will earn after 5 years on a deposit of
compounded annually over 5 years is ![\$27.63](https://tex.z-dn.net/?f=%5C%2427.63)
Learn more about compound interest here: brainly.com/question/21270833
The tape diagram should have one box for $5, 121 as the total. And some more boxes where the value is 14.50. Hope this helps!