Answer:
r ≈ 9.6%
Step-by-step explanation:
Simple Interest Rate Formula: A = P(1 + r)^t
Simply plug in our known variables <em>a</em>, <em>p</em>, and <em>t</em> and solve for <em>r</em>:
8780 = 3500(1 + r)¹⁰
8780/3500 = (1 + r)¹⁰
![\sqrt[10]{\frac{439}{175} }=1+r](https://tex.z-dn.net/?f=%5Csqrt%5B10%5D%7B%5Cfrac%7B439%7D%7B175%7D%20%7D%3D1%2Br)
![r = \sqrt[10]{\frac{439}{175} }-1](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B10%5D%7B%5Cfrac%7B439%7D%7B175%7D%20%7D-1)
r = 0.096333
Convert <em>r</em> into %:
9.6%
No simple form but is 53.33333333 as a decimal.
Answer:
D: {0≤x≤20}
R: {0≤y≤200}
Step-by-step explanation:
Domain and range are the possible values of x and y, respectively. For continuous graphs in set notation, inequalities can be used to represent the x and y values. As seen on the graph, the lowest possible x value is 0 and the highest is 20. All of the other values in between are also included. So the inequality 0≤x≤20 expresses all of the values. Additionally, because the circles are closed, the limit values, 0 and 20, are included. Next, the range is found in the same way. The lowest y is 0 and the highest is 200, with the limits included. So, the range inequality is 0≤y≤200.
Answer:
P(A/B) is called the CONDITIONAL PROBABILITY of occurring of event A when event B has already taken place.
![P(A/B) = \frac{P(B/A) . P(A)}{P(B)}](https://tex.z-dn.net/?f=P%28A%2FB%29%20%3D%20%5Cfrac%7BP%28B%2FA%29%20.%20P%28A%29%7D%7BP%28B%29%7D)
Step-by-step explanation:
Let us assume there are two given events A and B.
The probability of A when B has occurred is given as P (A/B).
The probability of B when A has occurred is given as P (B/A)
Also, the probability of occurring A independently = P(A)
The probability of occurring B independently = P(B)
Now, the BAYES THEOREM gives us the exact formula to determine the CONDITIONAL PROBABILITY.
By Bayes Formula:
![P(A/B) = \frac{P(B/A) . P(A)}{P(B)}](https://tex.z-dn.net/?f=P%28A%2FB%29%20%3D%20%5Cfrac%7BP%28B%2FA%29%20.%20P%28A%29%7D%7BP%28B%29%7D)
Here, P(A/B) is called the CONDITIONAL PROBABILITY of occurring of event A when event B has already taken place.
Answer:
x=2
Step-by-step explanation:
1/2x+3=5/2x-1
1/2-5/2x=-1-3
-4/2x=-4
-2x=-4
x=-4/-2
x=2