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.
For #32,
P=2L+2W
Subtract 2W from both sides, and swap left and right
2L = P-2W
Divide by 2
2L/2=(P-2W)/2
L = P/2 - 2W/2
L=P/2 - W
For #35
Most of the expenses are in fractions (of the original amount, A), so they can be added:
A/4 + A/5 + 2A/5 + 750 = A
add the fractions, with a common denominator of 20,
5A/20 + 4A/20 + 8A/20 +750 = A
(5A+4A+8A)/20 +750 = A
17A/20 + 750 = A
Now subtract 17A/20 from both sides and swap left and right
A - 17A/20 = 750
(3/20)A = 750
Multiply both sides by 20/3 (to make one unit of A on the left)
(3/20)*(20/3) A = 750*20/3
A =250*20=5000
Answer:
10 miles
Step-by-step explanation:
Given: Bike goes 8 miles south and then 6 miles east
To find: distance between the final point and the starting point
Solution:
<u>Pythagoras Theorem</u>
In a right angled triangle, square of hypotenuse is equal to the sum of squares of the two sides.
In ΔOAB,
Put 
Take square root on both sides.
So, distance between the final point and the starting point is 10 miles
C i don’t have a reason it’s just right
