Answer:
1.55%
Step-by-step explanation:
Fill in the values and solve for the rate using the future value formula.
FV = P(1 +r/n)^(nt)
4720 = 4300(1 +r/12)^(12·6)
(4720/4300)^(1/72) = 1 +r/12
r = 12(4720/4300)^(1/72) -1) ≈ 0.015542
The annual interest rate is about 1.55%.
1.75 + 0.65m < = 10
0.65m < = 10 - 1.75
0.65m < = 8.25
m < = 8.25 / 0.65
m < = 12.69 miles <==
Answer:
g and g
Step-by-step explanation:
just did
Answer:
65 yd
Step-by-step explanation:
The diagonal of a rectangle can be found using
Pythagoras' Theorem a² + b² = c²
(where a and b are the legs, and c is the hypotenuse of a right triangle)
Given:
⇒ 25² + 60² = c²
⇒ c² = 4225
⇒ c = √4225
⇒ c = 65
Therefore, the length of the diagonal is 65 yd
The first time I solved this problem, I did it in a way that I had to
mess with changing fractions to common denominators and all that.
Suddenly, however, the clean and easy way to do it dawned on me.
Here it is:
-- There are 56 marble in the bag.
-- The probability of pulling a red marble is 5/8, so
5/8 of the 56 marbles must be red.
5/8 of 56 = 35 red marbles.
-- The probability of pulling a green marble is 1/7,
so 1/7 of the 56 marbles must be green.
1/7 of 56 = 8 green marbles.
-- The red and green marbles make up (35 + 8) = 43
of the 56 marbles in the bag.
-- The rest of them are yellow.
There are (56 - 43) = 13 yellow marbles in the bag.
-- The probability of pulling a yellow marble is 13/56 . (about 23.2%)
No messy fractions at all !
That's the way I like it !