3/4
1/6 of the pot is 2/12
1/12 + 2/12 is 3/12
1 - 3/12 is 9/12 = 3/4
3/4 of the pot is left over
Answer:
(-6, 0) and (3, 0)
Step-by-step explanation:
I think you meant f(x) = (x + 6)(x - 3). This graph intersects the x-axis in two places: (-6, 0) and (3, 0). These are the "x-intercepts."
Answer:
100√65 yds
Step-by-step explanation:
The Pythagorean Theorem is a^2+b^2=c^2. In this case a=700, b=400, and c is the unknown.
- 700^2+400^2=c^2
- 490000+160000=c^2
- 650000=c^2
- c=√650000
√650000=√(100^2•65)=100√65
Answer:
.00363636363
Step-by-step explanation:
25^-1/11 = 1/25^1/11 = 11th root of 1/25 = .00363636363
Answer:it will take 5 years
Step-by-step explanation:
Initial amount deposited into the account is $500 This means that the principal is
P = 500
It was compounded quarterly. This means that it was compounded 4 times in a year. So
n = 1
The rate at which the principal was compounded is 5.6%. So
r = 5.6/100 = 0.056
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. A is already given as $750
Therefore,
750 = 500 (1+0.056/4)^4×t
750 = 500 (1+0.014)^4t
750 = 500 (1.014)^4t
(1.014)^4t = 750/500 = 1.5
Take root 1/4 of both sides
(1.014)^4t ×1/4 = 1.5^1/4
(1.014)^t = 1.107
t = 5 years
