Let x represent the amount of money he invested at 11% and y money he invested at 12%. Now we write system of equations:
x*1.11 + y*1.12 = 70 000 + 7900
x + y = 70 000
We will multiply second equation with 1.11
x*1.11 + y*1.11 = 77700
and subtract if from first:
0.01*y = 200
y = 20000
x = 70000 - 20000 = 50000
Answer:
<h2>19</h2>
Step-by-step explanation:
Given the surdic expression 
, to rationalize the expression, we will have to multiply the numerator and denominator of the expression by the conjugate of the denominator as shown;
Comparing the result 
with the expression 
, it can be seen that A = 6, B = 5, C = -4, D = 11 and E = 1
A+B+C+D+E = 6+5+(-4)+11+1
A+B+C+D+E = 11-4+12
A+B+C+D+E = 19
Hence the value of A+B+C+D+E is 19
<span>Answer:
The two events are independent. In the given scenario, P(M and N) =0.25
Explanation:
1) Independent events are those that do not affect each other. In this case the number that you roll does not change the flip of the coin. So, whatever number you get with the die, the probabilities of landing tail or head when tossing the coin are the same.
2) The probability of the two simultaneous events: getting an odd number and landing a tail, since they are independent, is equal to the product of the two independent events:
P(M and N) = P(M) x P (N) (only because they are independent)
3) The probability of getting and odd number is 0.5 (half of the numbers are odd and half are even => probability = 1/2)
4) The probability of the coin lands tail is 0.5 (1/2).
5) Then the joint probability is 0.5 x 0.5 = 0.25</span>
Assuming that the positive response for program 1 is the first percentage for each city, and the positive response for program 2 is the second percentage, the chance of a positive response for program 2 given that the individual is from LA is 88.1%
The total amount of money that Jeff has is $20
total fraction of his expenses on lunch and movies is:
(2/5+1/8)
=21/40
the remaining fraction is:
1-21/40
=19/40
thus the amount of cash that Jeff was left with will be:
19/40×20
=$ 9.5
