Answer:
The slope for the line is 2
f(x) = 5x²
f(10) = 5(10)² = 5(100) = 500
f'(x) = 10x
f'(10) = 10(10) = 100
Now, find the line that passes through (10, 500) and has a slope of 100
y - y₁ = m(x - x₁)
y - 500 = 100(x - 10)
y - 500 = 100x - 1000
y = 100x - 500
-√5/2+√5+1
-√5/2+2√5/2+1
√5/2+1
(√5+2)/2
Answer:
B. 9.6 %.
Step-by-step explanation:
A = P e^rt
His investment doubles so it comes to 3000 * 2 = $6000.
Substituting in the formula>
6000 = 3000e^7.2r ehere r is the interest rate.
e^7.2r = 2
Taking logs
7.2r = ln 2
r = ln2 / 7.2
r = 0.096
So the rate is 9.6%.
Write equations for both companies:
Company A = 80 + 0.30x
Company B = 20 + 0.50x
X = number of miles.
Set the equations to equal and solve for x:
80 + 0.30x = 20 + 0.50x
Subtract 0.30x from both sides:
80 = 20 + 0.20x
Subtract 20 from both sides:
60 = 0.20x
Divide both sides by 0.20:
x = 60 / 0.20
x = 300
The answer is 300 miles.
