Money Birute deposited in a savings account = $500
Rate of simple interest per annum = 1.3%
▪︎We need to find the interest she will earn in 4 years.
We know that :

In this case :
Principal = $500
Rate = 1.3%
Time = 4 years
Which means :
The simple interest she will earn in 4 years :



Thus, the simple interest she will earn in 4 years = $26
Amount = Principal + Interest
Amount she will gain after 4 years :


Thus, the amount she will gain after 4 years = $526
Amount change in her account = 526 - 500 = 26
We know that :

Which means :
Percentage of change in her savings account :




<h2>○=> Therefore :</h2>
▪︎Simple interest after 4 years = $26
▪︎Money she will earn after 4 years = $526
▪︎Percentage of change in her savings account = 5.2%
Answer:
12.5% increase OR 112.5% Percentage of Change
Step-by-step explanation:
For this problem consider that our original maximum value is 96 square feet, but our new maximum value is 108 square feet. So to find the change as a percentage (in this case the increase) use the following formula:
Percentage of Change = ( New Maximum / Old Maximum ) * 100
So, let's use this formula to find the percentage change of the room.
Percentage of Change = ( 108 / 96 ) * 100
Percentage of Change = (1.125) * 100
Percentage of Change = 112.5
So the percentage of Change is 112.5%. Note, the old maximum is the point of comparison which is 100%.
So to find the increase, we will do 112.5% - 100% to get 12.5%. Hence, we have a 12.5% increase of a 108 square foot room compared to a room of 96 square feet.
Cheers.
The correct answer is C. The interquartile range shows us how the middle 50% (from the 25th to the 75% percentile) of the data is spread out.
Step-by-step explanation:
well, the starting equation and the target format have been given.
let's do the multiplications and compare the target with the starting information.
from there we see what is different or missing.
x² + 14x + 13 = 0
and
(x - p)² = q
x² - 2px + p² = q
x² - 2px + (p² - q) = 0
now let's compare the different parts :
x² = x²
-2px = 14x
-2p = 14
p = -7
p² - q = 13
-7² - q = 13
49 - q = 13
36 - q = 0
q = 36
so, the square (x - p)² = (x + 7)² is completed when
x² + 14x + 49 = 0
but we have only "+ 13". so we need to add 36 to get 49. but we need to do it on both sides, to keep the equation true :
x² + 14x + 13 + 36 = 36
x² + 14x + 49 = 36
(x + 7)² = 36
just as we calculated already above.
and now this can be solved by pulling the square root on both sides (a quadratic equation has always 2 solutions)
x + 7 = ±6
x1 = 6 - 7 = -1
x2 = -6 - 7 = -13
Let us convert this equation from standard to slope intercept form first.
5x+4y=8
4y=-5x+8
y=-5/4x+2
For the other line to be perpendicular it has to have an opposite reciprocal slope. That would be 4/5. This will make the equation for the new line "y=4/5x+b". We just need to find the y-intercept. Using the point given...
5=4/5(10)+b
5=8+b
b=-3
Answer: y=4/5x-3