Answer:
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Step-by-step explanation:
B
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 = ![5000[(1.06)^t+(1.08)^t]](https://tex.z-dn.net/?f=5000%5B%281.06%29%5Et%2B%281.08%29%5Et%5D)
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.
Factoring completely you get: 3(3x-1)(2x+3)
Answer:

Step-by-step explanation:
![\text{Geometric mean:}\\\\\underbrace{\sqrt[n]{a_1\cdot a_2\cdot a_3\cdot...\cdot a_n}}_n\\\\\sqrt{7\cdot9}=\sqrt{9}\cdot\sqty7=3\sqrt7](https://tex.z-dn.net/?f=%5Ctext%7BGeometric%20mean%3A%7D%5C%5C%5C%5C%5Cunderbrace%7B%5Csqrt%5Bn%5D%7Ba_1%5Ccdot%20a_2%5Ccdot%20a_3%5Ccdot...%5Ccdot%20a_n%7D%7D_n%5C%5C%5C%5C%5Csqrt%7B7%5Ccdot9%7D%3D%5Csqrt%7B9%7D%5Ccdot%5Csqty7%3D3%5Csqrt7)
AC=2AE ( because diagonal of rhombus bisect each others)
AE=8 cot 53°
AE=6
AC=2 x 6 = 12
Hence, The length of AC is 12