Answer:
800 x 1.033^4 = 910.94 (result is rounded)
Step-by-step explanation:
The simplification of rational expressions is explained
<u>Solution:</u>
Rational expressions are fractions that have a polynomial in the numerator, denominator, or both.
Rational expressions contain variables, they can be simplified in the same way that numerical fractions are simplified.
<em><u>Steps to simplify rational expressions:</u></em>
Let us see it with an example:
1) Look for factors that are common to the numerator & denominator
2) 3x is a common factor to the numerator & denominator. Note that it is clear that x ≠0
3) Cancel the common factor
4) If possible, look for other factors that are common to the numerator and denominator
5) After cancelling, you are left with
6) The final simplified rational expression is valid for all values of "x" except 0 and 1
We have to follow the same procedure for any rational expression.
Answer:
Step-by-step explanation:
Let the price is x.
<u>Set the equation and solve for x:</u>
- (x + 5%) + 15 = 141
- 1.05x + 15 = 141
- 1.05x = 126
- x = 126/1.05
- x = 120
Answer:
a. 1/16 which is 6.2500%
b. 15/16 which is 93.7500%
Step-by-step explanation:
a. For each 'coin toss' the probability of getting tails is 1/2. If you toss the coin 4 times, the probability of getting tails all times is 1/2 * 1/2 * 1/2 * 1/2 = 1/16.
b. This one is a bit trickier.
When flipping four coins, you either could get all four heads or you could get at least one tail. Both events cannot happen at the same time. This means the two events are complementary.
Complementary events occur when there are only two outcomes, for example passing an exam or passing an exam. The complement means the exact opposite of an event.
Complementary probabilities always add to 1.
We saw in part (a) that the probability you get all tails is 6.25% or 1/16.
0.0625 was the probability of getting all four heads, so 0.9375 is the probability of anything else (getting one or more tails).
The decimal 0.9375 converts to the fraction 15/16.
The probability is 93.75%.
Answer: x < 1/3
Step-by-step explanation: