<h3>
Answer: 270.58 dollars</h3>
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Work Shown:
- A = account value after t years
- P = principal or amount deposited = 800
- r = interest rate in decimal form = 0.06
- n = number of times we compound per year = 1
- t = number of years = 5
So,
A = P*(1+r/n)^(n*t)
A = 800*(1+0.06/1)^(1*5)
A = 1070.58046208
A = 1070.58
After five years, the account will have $1,070.58 in it.
The amount of interest earned is A-P = 1070.58 - 800 = 270.58 dollars.
Answer:
C
Step-by-step explanation:
6:4=8:12
6x3=8
4x3=12
Answer:


Step-by-step explanation:
Given two points on the line (0, 16) and (3, 40), an equation for the line can be written using the slope-intercept line equation which takes the format
.
Where,

b = y-intercept or the point at which the line cuts the y-axis.
Let's find slope (m) using the slope formula:
Let,





Find b. Substitute the values of x = 0, y = 16, and m = 8 in the slope-intercept formula to find b.





Plug in the values of m and b into the slope-intercept formula to get the equation of the line.


Let's use the equation to find x when y = 112.

Substitute y = 112 in the equation



Divide both sides by 8


Converting observations from original values to standard deviation units is known as standardizing the data values. This is done in order to get values in such a form where we can compare them. For example, if we have the test scores of two different school and we want to compare the result of the students we have to first convert them into standard deviation units.
Converting the values to standard deviation units is also known as converting the values to z scores.
The formula for the z score is:
[tex]z= \frac{x-u}{s} [/tex]
where x is the data value, which is to be standardized.
u is the average of the entire data.
s is the standard deviation of the data.