Answer:
B is correct.
Step-by-step explanation:
Compound Interest Formula:
Tasha invests in two ways
Case 1:
- Principal P=$5,000
- Rate of Interest r=0.06
- Time t=t
- n=1
Case 2:
- Principal P=$5,000
- Rate of Interest r=0.08
- Time t=1
- n=1
Total amount yield by Tasha =
Thomas Investment
- Principal P=$10,000
- Rate r= 0.07
- t=t
- n=1
Total amount yield by Thomas =
Now we make table for Tasha and Thomas different value of t
t Tasha Thomas
1 $10,700 $10,700
2 $11,450 $11,449
3 $12,254 $12,250
4 $13,115 $13,108
In table we can see Tasha investment will yield more from Thomas.
Thus, Tasha’s investment will yield more over many years because the amount invested at 8% causes the overall total to increase faster.
<u>Given</u>:
The given expression is
We need to determine the equivalent expression.
<u>Equivalent expression:</u>
Let us determine the equivalent expression.
The equivalent expression can be determined by simplifying the given expression.
Hence, let us apply the exponent rule to simplify the given expression.
Thus, applying the exponent rule, , we get;
Rewriting the expression, we get;
Simplifying, we get;
Thus, the equivalent expression is
Hence, Option C is the correct answer.
B. Carl's answer is correct but he incorrectly labeled the leg lengths in step 2.