Answer:
PB = 15
Step-by-step explanation:
A midpoint is a point in the center of a line. Since P is the midpoint of AB, the length of AP = PB. Therefore, if AP = 15, PB = 15.
Answer: Boat cost $ 3200
Trailer cost $ 800
Step-by-step explanation: From the statement , the coat of Trailer (t) = 1/4 of the coat of the boat ( b)
i.e t = 1/4b
multiply through by 4
4t = b
both cost 4,000
i.e t + b = 4000
recall: b = 4t
therefore
t + 4t = 4000
5t = 4000
t = 4000/5
t = 800
b = 4000 - 800
b = 3200
I really don't understand what your saying but.....
1/3 = 0.3333333...... and 3/4 = 0.75 = 75%
Hope this helps:)
Answer:
1.) Yes
2.) Yes
Step-by-step explanation:
Given that
n = k(k + 7)
If k is a positive integer and n = k(k + 7), is n divisible by 6 ?
(1) k is odd. Yes.
Let assume that k = 3
Then, n = 3(3 + 7)
n = 3 × 10
n = 30.
30 is divisible by 6.
(2) When k is divided by 3, the remainder is 2. That is,
Let k = 5
Then,
5/3 = 1 remainder 2
Substitute k into the equation
n = k(k + 7)
n = 5(5 + 7)
n = 5 × 12
n = 60
And 60 is divisible by 6.
Therefore, the answer to both questions is Yes.
Answer:
$7.62 per hour
Step-by-step explanation:
Since, Heather gets a raise every 3 months, in 2 years, she will get a raise 8 times (2years = 24 months, 24 divided by 3 is 8).
Now it becomes a compound growth problem. We can use the formula shown below to solve these type of problems.
Where,
- F is the future value (what we want to find)
- P is the present rate ($6.5)
- r is the rate of growth, in decimal (2% growth means 0.02)
- t is the time frame, number of times compounding occurs (for our case we have figured it to be 8)
<u>Now plugging in all the info, we get the value of F:</u>
Thus, after 2 years, Heather's hourly rate will be $7.62
