Represent
r=number of rabbits
c=number of chickens
1 rabbit=4 feet and 1 head
1 chicen=2 feet and 1 head
rabbits head+chicen heads=72
1r+1c=72
feet=200
4 times r+2 times c=200
4r+2c=200
divide both sides by 2
2r+c=100
we have
r+c=72
2r+c=100
make first equation negative and add to second equation
-r-c=-72
<u>2r+c=100 +
</u>1r+0c=28
r=28
subsitute
r+c=72
28+c=72
subtract 28
c=44
44 chickens and 28 rabits
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Answer:
Step-by-step explanation:
D
Answer:
8cm
Step-by-step explanation:
Using the properties of a square, we know that a square has 4 sides, which are all of the same lengths.
Perimeter simply means the sum of all the outer lengths, so all we need to do is 32 ÷ 4, which = 8.
Answer:
a. 3641.51
b. 1641.51
Step-by-step explanation:
The future value formula will tell you the amount in the account in 20 years.
<h3>Formula</h3>
FV = P(1 +r/n)^(nt)
Principal P is compounded n times per year at annual rate r for t years.
<h3>Application</h3>
The future value of the account with P=2000, r=0.03, n=12, and t=20 will be ...
FV = 2000(1 +0.03/12)^(12·20) = 2000(1.0025^240) ≈ 3641.50999
<h3>a.</h3>
The account value in 20 years will be 3641.51.
<h3>b.</h3>
The first 2000 of account value is the principal, so the interest is ...
interest = 3641.51 -2000
interest = 1641.51
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<em>Additional comment</em>
Many calculators and all spreadsheets have built-in capability for making this calculation.
Z score = (x -mean) / standard deviation.
For this problem X = 50 cm.
Z-score = (50 - 49.2) / 1.8
Z score = 0.8 / 1.8
Z score = 0.44
Look up 0.44 on a z-score table.
0.44 = 0.6700
0.67 x 100 = 67% will be 50 cm or longer.