We're told that
a. We want to find 
. By definition of conditional probability,
By the law of total probability,
Then
(the first equality is Bayes' theorem)
b. We want to find 
.
since 
.
Answer:
<em><u>14</u></em> is the largest integer that can be divided into 14, 28 and 42.
Step-by-step explanation:
1/2 becuase they are in between i think hope this helps
Answer:
7% and 5%
Step-by-step explanation:
The computation of the two rates of interest is shown below;
The interest rate for $3,000 be x%
And, for $4,500 the interest rate is (x -2%)
The total interest earned is
= x% of $4,500 + (x - 2)% of $4,500
So, the two rates of interest is
x% of $4,500 + (x - 2)% of $4,500 = $435
30x + 45(x - 2) = $435
30x + 45x - 90 = $43
75x = $25
x = 7%
x - 2 = 7 - 2
= 5%
Answer:
$1950
Step-by-step explanation:
Simple interest amount payable is given by
A=P(1+rt) where p is principal amount, A is final amount paid, t is time and r is rate of interest. For the first case
A=15000(1+0.03*4)=$16800
For second case
A=15000(1+0.05*5)=$18750
Difference will be 18750-16800=$1950
