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Answer:
21 roads
Step-by-step explanation:
If each two cities are connected by a direct road, to find the number of roads we just need to solve a combination of 7 choose 2, that is, we need to find all pairs of two cities among the 7 cities:
Combination of 7 choose 2 = 7! / (5! * 2!) = 7*6/2 = 21
So there is a total of 21 roads on the island.
She paid a simple interest of $3,125.00 on the borrowing of $25,000
What is simple interest?
The simple interest on a loan or an investment can be determined as the principal multiplied by interest multiplied by the number of periods.
This is quite different from compound interest where the interest earned previously would earn interest in the future alongside the principal
I=PRT
I=interest on loan=unknown
P=amount borrowed=$25,000
R=interest rate=1% per month
T=12.5 months( from December 2 2011 to December 1 2012 makes one year and from December 1-16 gives 15 days, which is 0.5 of one month)
I=$25,000*1%*12.5
I=$3,125.00
Find out more about simple interest on:brainly.com/question/1115815
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Answer: 6 sqrt2
Step-by-step explanation:
Sqrt = square root shorthand.
In a 45-45-90, the legs can be represented as x and the hypotenuse as x root2.
12 = x (sqrt2)
12/sqrt2 = x
Let’s rationalize this by putting the square root on top:
12sqrt2 / 2
Simplify:
6sqrt2
Answer:
Constant of proportionality = 2
Step-by-step explanation:
F = 2b (given)
This indicates that F is directly proportional to b
That is, F ∞ b
Removing the proportionality sign, F = kb where k is the constant of proportionality.
Comparing this with F = 2b, we have that k = 2
