Answer:
n= 11.65 years
Step-by-step explanation:
Giving the following information:
Present Value (PV)= $33,000
Future Value (FV)= $15,000
Decrease rate (d)= 7%
<u>To calculate the number of years it will take to reach $15,000; we need to use the following formula:</u>
<u></u>
n= ln(FV/PV) / ln(1+d)
n= ln(15,000/33,000) / ln(1.07)
n= 11.65 years
Using the Law of Sines (sinA/a=sinB/b=sinC/c) and the fact that all triangles have a sum of 180° for their angles.
The third angle is C is 180-53-17=110°
27/sin53=b/sin17=c/sin110
b=27sin17/sin53, c=27sin110/sin53
And the perimeter is a+b+c so
p=27+27sin17/sin53+27sin110/sin53 units
p≈68.65 units (to nearest hundredth of a unit)
Answer: 0.6065
Step-by-step explanation:
Given : The machine's output is normally distributed with
Let x be the random variable that represents the output of machine .
z-score : 
For x= 21 ounces
For x= 28 ounces
Using the standard normal distribution table , we have
The p-value : 
Hence, the probability of filling a cup between 21 and 28 ounces= 0.6065
Your answer is 104 square inches because you have to find the area of the top rectangle by multiplying 12 x 7, then find the area of the bottom square by multiplying 5 x 4, and then add both answers together which equals 104 square centimeters ;)
Step-by-step explanation:
the formula of coordinates (x, y) that reflected across the x-axis : (x, y) => (x, -y)
so,
A(3, -2) => A'(3, 2)
B(5, 5) => B'(5, -5)
C(-4, 2) => C'(-4, -2)
