Answer:
x = 21°
y = 29°
Step-by-step explanation:
a) Solving for x
Note that:
(3x - 3)° and 60° are Alternate interior angles, and alternate interior angles are equal to each other, hence:
3x - 3 = 60° (Alternate interior angles)
Add 3 to both sides
3x - 3 +3 = 60 + 3
3x = 63°
x = 63°/3
x = 21°
b) Solving for y
Notes that:
(3x - 3)° and (4y + 4)° are Consecutive interior angles and the sum consecutive interior angles is 180°
3x - 3 + 4y + 4 = 180°
3x + 4y - 3 + 4 = 180°
3x + 4y + 1 = 180°
Note that x = 21
Hence
3(21) + 4y + 1 = 180°
63 + 1 + 4y = 180°
64 + 4y = 180°
Subtract 64 from both sides
64 - 64 + 4y = 180° - 64
4y = 116°
y = 116/4
y => 29°
The answer is zero point four three
You could also write this answer as 0.43
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.