Answer:
21 projects each
Step-by-step explanation:
3150 ÷150
40 feet or 13 yards and 1 foot
using the conversion
1 yard = 3 feet then 1 yard 2 feet = 5 feet ← material for 1 pillow, hence
8 pillows require 8 × 5 = 40 feet
Answer:
The answer is the second one 687p + 920 = -705.6
Step-by-step explanation:
The decimal place in each number was shifted right 2 spots
Answer:
$1,577.74
Step-by-step explanation:
You are going to want to use the continuous compound interest formula, which is shown below.
![A = Pe^{rt}](https://tex.z-dn.net/?f=A%20%3D%20Pe%5E%7Brt%7D)
<em>A = total
</em>
<em>P = principal amount
</em>
<em>r = interest rate (decimal)
</em>
<em>t = time (years)
</em>
<em />
First change 3% to its decimal form:
3% ->
-> 0.03
Next, we can plug in the values into the equation:
![A=8,000e^{0.03(6)}](https://tex.z-dn.net/?f=A%3D8%2C000e%5E%7B0.03%286%29%7D)
![A=9,577.74](https://tex.z-dn.net/?f=A%3D9%2C577.74)
The last step is to subtract 8,000 from 9,577.74:
![9,577.74-8,000=1,577.74](https://tex.z-dn.net/?f=9%2C577.74-8%2C000%3D1%2C577.74)
The total interest earned is $1,577.74
Using the definitions of the mean and of the standard deviation of a data-set, we have that:
- The standard deviation would remain constant.
<h3>What are the mean and the standard deviation of a data-set?</h3>
- The mean of a data-set is given by the <u>sum of all values in the data-set, divided by the number of values</u>.
- The standard deviation of a data-set is given by the <u>square root of the sum of the differences squared between each observation and the mean, divided by the number of values</u>.
When the measure of 84 is added to the data-set, we have that:
- A measure greater than the mean is added, hence the mean would increase.
- The difference squared between 84 and the mean of 81 is of 9, which is the same as the standard deviation, which would remain constant.
More can be learned about the mean and the standard deviation of a data-set at brainly.com/question/26941429
#SPJ1