The answer is -1/3 ..............
Answer:
Step-by-step explanation:
<em>Speed = distance/time</em>
- Distance = 20.4 miles
- Time = 17 minutes = 17*1/60 hours = 17/60 hours
<u>Speed is:</u>
- 20.4 : 17/60 =
- 20.4*60/17 =
- 72 mph
<u>Alyn exceeded the limit by:</u>
To present clearly, these are the following expressions:
Expression 1: <span>5+2×(3+3)×(3−1)
Expression 2: 5+2×3+3×3−1
The numbers and operations are just the same, but the first expression involves parentheses. In mathematics, when you are presented with multiple operations in one equation, you follow the PEMDAS rule. This rule assigns which operation should be the first priority. The P means parenthesis. So, any expression inside the parenthesis should be calculated first. This is followed by Exponent(E), Multiplication (M), Division (D), Addition (A) and lastly, Subtraction (S).
</span>Expression 1: 5+2×(3+3)×(3−1)
Do the operations inside the two parentheses first:
5 + 2 × 6 × 2
Then, the next priority is multiplication:
5 + 24 = 29
Expression 2: 5+2×3+3×3−1
Prioritize multiplication:
5 + 6 + 9 -1
Prioritize the addition next.
20 - 1 = 19
The difference of the 2 expressions is: 29 - 19 = 10.
Answer: 3/5
Step-by-step explanation:
There are 20 balls, numbered 1 through 20.
Of these, 10 are even, 4 are less than five, and 2 are both even and less than 5.
So the probability is:
P(even or <5) = P(even) + P(<5) − P(even and <5)
P(even or <5) = 10/20 + 4/20 − 2/20
P(even or <5) = 12/20
P(even or <5) = 3/5
The formula for figuring the monthly payments on such a loan is
... A = P(r/12)/(1 -(1 +r/12)^(-12t))
where r is the annual interest rate (.065), P is the principal amount (we want to find), t is the number of years (30), and A is the monthly payment.
Filling in the given values, we have
... 821.69 = P(.065/12)/(1 - (1 +.065/12)^(-12*30)) = 0.00632068·P
Then the principal amount is
... P = 821.69/0.00632068 = 130,000.25
The most appropriate choice is ...
... 4. $130,000
