A = P( 1 + r/n)^(nt)
A = 100(1 + .04/4)^12
A = 100(1.01)^12
A = 112.68
Answer:
5) 126
6) 116
Step-by-step explanation:
5) m∠NLM is equal to the arc MN, or 63x.
To find x, use the inscribed angle theorem.
32x − 1 = ½ (63x)
64x − 2 = 63x
x = 2
Therefore:
m∠NLM = 63(2)
m∠NLM = 126
6) Using the same logic:
9x + 4 = ½ (19x + 2)
18x + 8 = 19x + 2
x = 6
Therefore:
mYX = 19(6) + 2
mYX = 116
Answer:
6:5
Step-by-step explanation:
c = number of cats
d = number of dogs
d = c+6
Set up a ratio:
4/3 = d/c
Then replace d with c+6, so your equation only has one variable.
Cross multiply
4c = 3(c+6)
Multiply everything in the parentheses by 3.
4c = 3c + 18
Subtract 3c from both sides
4c - 3c = 18
c = 18
d = c + 6 = 18 + 6 = 24
If 2 more cats join, then you will have 20 cats and 24 dogs, so the ratio of dogs to cats will now be 24:20. Divide each side by 4 for a ratio of 6:5.
Answer:
13
Step-by-step explanation:
Answer:
Its True
Step-by-step explanation: