Answer:
<u>Equation</u>: 
<u>The balance after 5 years is: $1742.43</u>
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Step-by-step explanation:
This is a compound growth problem . THe formula is:
Where
F is future amount
P is present amount
r is rate of interest, annually
n is the number of compounding per year
t is the time in years
Given:
P = 1500
r = 0.03
n = 12 (compounded monthly means 12 times a year)
The compound interest formula modelled by the variables is:
Now, we want balance after 5 years, so t = 5, substituting, we get:
<u>The balance after 5 years is: $1742.43</u>
Answer: 52
Explanation:
You need to replace the x-values with 8 to solve this. So, the equation would look like this. f(8)= 7 x 8 - 5
7 times 8 is 56. 56 minus four is 52 which is your answer.
If you needed to graph this then it would look like this... (8, 52)
The 8 is in the input because it is the x-value (we replace x with 8) and 52 is output/range/y-value because it is the answer.
Answer:
Option (c) is correct.
68% of the data points lie between 10 and 18.
Step-by-step explanation:
Given : a normal distribution with a standard deviation of 4 and a mean of 14
We have to choose the sentence that correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14.
Since, given 68% data.
We know mean of data lies in middle.
And standard deviation is distribute equally about the mean that is 50% of values less than the mean and 50% greater than the mean.
So, 68% of data lies
mean - standard deviation = 14 - 4 = 10
mean + standard deviation = 14 + 4 = 18
So, 68% of the data points lie between 10 and 18.
Answer:
40.84 to nearest hundredth.
Step-by-step explanation:
C = pi * d
= pi * 13
= 40.8407
