Given:
Annual salary average: $22,040
Annual Social security benefit: 42% of salary average
Monthly bill: $1,375
$22,040 x 42% = $9,256.80 per annum
$9,256.80 / 12 mos = $771.40 per month
$1,375 – 771.40 = $603.60
Since, Christina only receives $771.40 per month from her Social Security benefit, she has to take $603.60 from her savings each month to help pay her monthly bill of $1,375.
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Given:
Pyramid A: Base is rectangle with length of 10 meters and width of 20 meters.
Pyramid B: Base is square with 10 meter sides.
Heights are the same.
Volume of rectangular pyramid = (L * W * H) / 3
Volume of square pyramid = a² * h/3
Let us assume that the height is 10 meters.
V of rectangular pyramid = (10m * 20m * 10m)/3 = 2000/3 = 666.67 m³
V of square pyramid = (10m)² * 10/3 = 100m² * 3.33 = 333.33 m³
The volume of pyramid A is TWICE the volume of pyramid B.
If the height of pyramid B increases to twice the of pyramid A, (from 10m to 20m),
V of square pyramid = (10m)² * (10*2)/3 = 100m² * 20m/3 = 100m² * 6.67m = 666.67 m³
The new volume of pyramid B is EQUAL to the volume of pyramid A.
Translation of 7 units to the right ⇒ subtract 7 units to the argument ⇒ f(x-7)
Translation of 5 units up ⇒ add 5 units to the function ⇒ f(x) + 5
g(x) = f (x-7) + 5 = (x-7)^2 + 5
The subtraction of 7 units to the argument of the function (this is x) translates the function 7 units to the right.
Adding 5 units to the function f, translates the graph 5 units up.
Answer:
400%
Step-by-step explanation:
Let the sales be "100" in 1994
Since, it decreased 80%, the sales was:
80% = 80/100 = 0.8
0.8 * 100 = 80 (decreased by 80)
So, it was
Sales in 1995: 100 - 80 = 20
Sales in 1996 was same as in 1994, so that's 100
Thus,
Sales in 1994: 100
Sales in 1995: 20
Sales in 1996: 100
We need to find percentage increase form 1995 to 1996, that is what percentage increase is from 20 to 100?
We will use the formula:

Where
New is 100
Old is 20
SO, we have:

So, it increased by 400%
Answer:
See below
Step-by-step explanation:
<h3>Continuation of the question</h3>
<u>Data in the table:</u>
<u>PH 4 5 6 7 8 9 10 11 </u>
<u>Bacteria 116 120 131 136 141 151 148 163</u>
- <em>Create a scatter plot to represent the data: Based on the data and your scatter plot, what do you think a good linear function would be to represent the data?</em>
<h3>Solution</h3>
<em>See attached for scatter plot</em>
We can see the chart is close to linear function. Let's build one based on data in the table
<u>The line will be in the form of:</u>
<u>If we use two points and get the equation</u>
<u>Finding the slope:</u>
- m = (141-116)/(8-4) = 25/4 = 6.25
<u>Then, finding y-intercept:</u>
- 116 = 6.25*4 + b
- b = 116 - 25 = 91
<u>So the line is:</u>
<em>Note: This is approximate best fit graph and it is attached as well. Exact formula for the line is built by using different method and is very close to the one above</em>