Answer:
t=In(37/20)/0.046
Step-by-step explanation:
p=2000
r=0.046
A=3700
t=?
3700=2000e^0.046t
switch sides
2000e^0.046t=3700
Divide both sides by 2000
$2000e^0.046t/2000=$3700/2000
Simplify
e^0.046=37/20
Apply exponent rules
0.046=37/20
Solve 0.046t = ln(37/20)
t=In(37/20)/0.046
Answer: 10 2/3
Step-by-step explanation:
8/ 3/4 is the same as 8 / .75 the answer is 10.66666 which is the same as
10 2/3
The line y = x + 3 has slope 1, so we look for points on the curve where the tangent line, whose slope is dy/dx, is equal to 1.
y² = x
Take the derivative of both sides with respect to x, assuming y = y(x) :
2y dy/dx = 1
dy/dx = 1/(2y)
Solve for y when dy/dx = 1 :
1 = 1/(2y)
2y = 1
y = 1/2
When y = 1/2, we have x = y² = (1/2)² = 1/4. However, for the given line, when y = 1/2, we have x = y - 3 = 1/2 - 3 = -5/2.
This means the line y = x + 3 is not a tangent to the curve y² = x. In fact, the line never even touches y² = x :
x = y² ⇒ y = y² + 3 ⇒ y² - y + 3 = 0
has no real solution for y.
Answer:
x= (-2, 0) y=(0, -5)
Step-by-step explanation:
or you could say -2 and -5
Answer:
87 scorpions do not live in Arizona
Step-by-step explanation: