Answer
Slope: -2
Step-by-step explanation:
Perpendicular slope is the negative reciprocal of the original slope.
The original slope was 1/2. Flip it. 2/1=2. Now change the sign to -2.
The equivalent expression for the expression that represents the amount Carmen would earn is 5000(1.0005^12)^t.
<h3>What is the equivalent expression?</h3>
Based on the expression given, Carmen's investment is compounded monthly.
The formula for calculating future value:
FV = P (1 + r)^nm
- FV = Future value
- P = Present value
- R = interest rate
- m = number of compounding
- N = number of years
5000(1.0005)^12t
= 5000(1.0005^12)^t
50002.5^12t
Please find attached the complete question.To learn more about future value, please check: brainly.com/question/18760477
Answer:
81.8%
Step-by-step explanation:
Mean = 
Standard deviation = 
Now we are supposed to find out what percent of the numbers fall between 35 and 50

Substitute the values

Now for P(35<x<50)
Substitute x = 35


Substitute x = 50


So, P(-1<z<2)
P(z<2)-P(z<-1)
=0.9772-0.1587
=0.8185
= 
=81.8%
Hence 81.8% percent of the numbers fall between 35 and 50
Answer:
D
Step-by-step explanation:
For it to be a function, every x value must have 1 unique y value ONLY.
In option A, you can see that the x value of 1 has 2 y values, 1 & 5. So it's not a function.
In option B, you can see that the x value of 0 has 2 y values, 0 & -4. Moreover, the x value of 4 also has 2 y values, 2 & -2. So it's not a function.
In option C, you can see that the x value of -2 has 2 y values, 4 & -4. This is not a function as well.
In option D, each x value has a unique y value that are different. So this is a function.
Answer is option D.
Answer:
The square root of 10 is 3.16227766017
Step-by-step explanation: