<h3>Answer:</h3>
$808.38
<h3>Explanation:</h3>
The formula for the payment amount (A) on principal P at interest rate r compounded monthly for a loan period of t years is ...
... A = P(r/12)/(1 -(1 +r/12)^(-12t))
For the main loan, the payment is ...
... A = 0.80·145000·(.0475/12)/(1 -(1 +.0475/12)^(-12·30)) = 605.11
For the piggyback loan, the payment is ...
... A = 0.20·145000·(.07525/12)/(1 -(1 +.07525/12)^(-12·30)) = 203.27
So, the total of monthly payments for the two loans is ...
... $605.11 +203.27 = $808.38
For any distribution, the sum of the probabilities of all possible outcomes must be 1. In this case, we have to have
We're told that 
, and we're given other probabilities, so we have
The expected number of calls would be
![E[X]=\displaystyle\sum_xx\,P(X=x)](https://tex.z-dn.net/?f=E%5BX%5D%3D%5Cdisplaystyle%5Csum_xx%5C%2CP%28X%3Dx%29)
![E[X]=0\,P(X=0)+1\,P(X=1)+\cdots+4\,P(X=4)](https://tex.z-dn.net/?f=E%5BX%5D%3D0%5C%2CP%28X%3D0%29%2B1%5C%2CP%28X%3D1%29%2B%5Ccdots%2B4%5C%2CP%28X%3D4%29)
![E[X]=1.4](https://tex.z-dn.net/?f=E%5BX%5D%3D1.4)
Hey there!
Three points to keep in mind!
- The given options are in standard form: ax+by=c
- The line is a solid line, hence, the possible outcomes would be ≤ or ≥
- The shaded part is above the line, hence, the symbol would be ≥
First, let's find the slope:
Slope : (y2-y1)/(x2-x1)
Slope : (0-3)/(2-0)
Slope : -3/2
Looking at line, we know that the y-intercept is 3 b=3
Slope intercept form:
<em>y≥(-3/2)x+3 </em>
Let's now convert this into a standard form:
<em>(3/2)x+y≥3 </em>
<em>Multiplying all the sides with 2: </em>
<em>Remember that the coefficient of 'x' shall not be negative or a fraction!</em>
<em>3x+2y≥6 </em><em>is the final answer!</em>
Answer:
4 protein bars
Step-by-step explanation:
if we divide the 15 water bottles by 5 we get 3 water bottles. This is how many she took so following the same scale factor we would then divide 20 by 5 and get 4.
