Mu=80, sigma=39, X=85
Z=(X-mu)/sigma = 5/39=0.128=0.13
P(X<=85)= 0.5517 (from Z-table)
so, P(X>85)=1-0.5517=0.4483 approx. thats 44.8% probability.
The formula for midpoint is
(
, 
)
Look at the image below to see the line segment of Estefani's (A), Jasmin's (M), and Preston's (B) houses. Keep in mind that the segment shown below is not accurate in regards to how the line segment formed by Estefani's, Jasmin's, and Preston's houses. It is simply there so you can picture the segment better.
In this case:
^^^Plug in these number into the formula given above...
(
, 
)
To find what x is (a coordinate of Preston's house) you must take the x-value part of the midpoint equation () and set it equal to the x-value of the midpoint (-5). Then you must solve for x:
= -5
3 + x = -5 * 2
3 + x = -10
x = -10 - 3
x = -13
To find what y is (a coordinate of Preston's house) you must take the y-value part of the midpoint equation() and set it equal to the y-value of the midpoint (3). Then you must solve for y:
= 3
-2 + y = 3 * 2
-2 + y = 6
y = 6 + 2
y = 8
The coordinate of Preston's house is:
(-13, 8)
Hope this helped!
~Just a girl in love with Shawn Mendes
Because 1023.68 is 112% of the loan, you can divide by 1.12 to get 914, which is the answer
Answer:
Interest earned = 2713.8
Explanation:
We will solve this problem on two steps:
1- get the final amount after three years
2- get the interest earned by subtracting the initial amount from the final one.
1- getting the final amount after 3 years:
The formula that we will use is as follows:
A = P (1 + r/n)^(nt)
where:
A is the final amount we want to calculate
P is the initial amount = 6300
r is the interest = 0.12
n is the number of compounds per year =12
t is time in years = 3
Substitute to get the final amount:
A = P (1 + r/n)^(nt)
A = 6300 (1 + 0.12/12) ^ (12*3)
A = 9013.8
2- getting the interest earned:
Interest earned = final amount - initial amount
Interest earned = 9013.8 - 6300
Interest earned = 2713.8
Hope this helps :)
