Answer:
Rate of Decay = 8%
Step-by-step explanation:
The decay formula is:
![F=P(1-r)^t](https://tex.z-dn.net/?f=F%3DP%281-r%29%5Et)
Where F is the final value (here, it is given as "Y")
P is the initial value (here, given as 20,000)
r is the rate of decay (what we need to find)
t is the time (given as 2)
Comparing both the equations:
![F=P(1-r)^t\\Y=20,000(0.92)^2](https://tex.z-dn.net/?f=F%3DP%281-r%29%5Et%5C%5CY%3D20%2C000%280.92%29%5E2)
We see that:
1 - r =0.92
We solve for "r":
1 - 0.92 = r
0.08 = r
The rate of decay is 0.08, as a percentage, we need to multiply by 100, so we have:
0.08 * 100 = 8%
Rate of Decay = 8%
Answer:
Answer 1: <u>$6,289</u>
Answer 2: <u>$198</u>
Step-by-step explanation:
1-
a(10)=10,000(1+.05)^10
=16,288.95 =16,288-10,000=<u>$6,289</u>
2-
A(t)=pe^rt=a(10)=10,000e^(.05)(10)=16,487-10,000=6487
6487-6289=<u>$198</u>
Answer 10:
<em>X </em>= (5,0)
Answer 11:
<em>AB</em> = 11.18
Answer 12:
<em>N/A</em>
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer:
x = 41
y = 65
z = 107
Step-by-step explanation:
y and 65 are vertically opposite angles. Vertically opposite angles are equal.
y = 65
74 + y + x = 180
74 + 65 + x = 180
139 + x = 180
x = 180 - 139
x = 41
z is the exterior angle, whereas 66 and x are interior angles in a triangle.
Formula : -
Exterior angle = Sum of two interior angles
z = 66 + x
= 66 + 41
z = 107