Answer:
$36.75
Step-by-step explanation:
The amount of interest payable is given by ...
I = Prt = $2100·0.07·(3/12) . . . . . . . . t is in years
I = $36.75
The bank earned $36.75 on the loan.
The correct equation that represents the expression "The number 24 is what percent of the number 40?" is as shown below;
The the unknown number in percent be 'x'
x percent of number 40 is expressed as;
x% of 40
x/100 of 40
If 24 is equal to the expression above, then the final equation will be expressed as;
24 = x/100 of 40
24 = 40x/100
24 = 0.4x
Rearrange
0.4x = 24
Hence the correct equation used to solve the problem is 0.4x = 24
Answer:
z = 188
Step-by-step explanation:
1. 10/13 = 8 - 2z/52 (simplify - 2z/52)
10/13 = 8 (- 1/26)*z
2. 10/13 = (- 1/26)*z + 8 (flip for ease in solving)
(- 1/26)*z + 8 = 10/13
3. (- 1/26)*z + 8 = 10/13 (inverse: subtract 8 from each side to isolate variable <em>z</em>)
(- 1/26)*z = 10/13 - (8*13)/(1*13) (common denominator needed for add/subtract)
(- 1/26)*z = - 94/13 (simplify)
4. (- 1/26)*z = - 94/13 (inverse: multiply both sides by -26/1 to isolate variable <em>z</em>)
<h2>z = 188</h2>
The probability that you will guess the first answer correctly = 1/2 = 0.5
The probability that you will guess the second answer correctly = 1/2 = 0.5
The probability that you will guess the third answer correctly = 1/2 = 0.5
The probability that you will guess all three answers correctly is
(0.5) x (0.5) x (0.5) = 0.125 = 12.5% .
============================
Here are all the ways your answer sheet could wind up:
(R = a right answer. W = a wrong answer.)
W W W
W W R
W R W
W R R
R W W
R W R
R R W
R R R
Number of possible ways to score 0 right out of 3 questions: 1 way
Number of possible ways to score 1 right out of 3 questions: 3 ways
Number of possible ways to score 2 right out of 3 questions: 3 ways
Number of possible ways to score 3 right out of 3 questions: 1 way
Statistically, if your answers are all pure guesses,
then on the average, the score you expect is
(0 + 33-1/3 + 33-1/3 + 33-1/3 + 66-2/3 + 66-2/3 + 66-2/3 + 100) / 8
= 400 / 8
= 50% .
If you're happy with that score, great !
Go to the movies the night before the test,
and start guessing.
