Answer:
$89,472.58
Step-by-step explanation:
P = $82100
r = 4.3% = 4.3/100 = 0.043
T = 2 years
V = P × e^rt
V = 82100 × e^(0.043 × 2)
V = 82100 × e^(0.086)
V = 82100 × 1.0898
V = 89,472.58
The interest after 2 years is $89,472.58
Answer is D) take 5 blocks away from the left side.
There are 8 blocks on the left and only 3 on the right, 8 - 3 = 5
Answer:
-22.4+12.8
Step-by-step explanation:
If the temperature started at 22.4 below zero you would write that as -22.4 because it had risen 12.8 degrees you would add those 12.8 degrees to -22.4
Answer:
(4,-1), (3,-1),(2,-1) or (1,-1)
if you draw a horizontal line through the point (5,-1) you will notice it crosses through every point ending with -1
Answer:
V(x,y,z) ≈ 61.2 in
Step-by-step explanation:
for the function f
f(X)=x³
then the volume will be
V(x,y,z)= f(X+h) - f(X) , where h= 0.2 (thickness)
doing a Taylor series approximation to f(x+h) from f(x)
f(X+h) - f(X) = ∑fⁿ(X)*(X-h)ⁿ/n!
that can be approximated through the first term and second
f(X+h) - f(X) ≈ f'(x)*(-h)+f''(x)*(-h)²/2 = 3*x²*(-h)+6*x*(-h)²/2
since x=L=10 in (cube)
f(X+h) - f(X) ≈ 3*x²*(-h)+6*x*(-h)²/2 = 3*L²*h+6*L*h²/2 = 3*L*h*(h+L)
then
f(X+h) - f(X) ≈ 3*L*h*(h+L) = 3* 10 in * 0.2 in * ( 0.2 in + 10 in ) = 61.2 in
then
V(x,y,z) ≈ 61.2 in
V real = (10.2 in)³-(10 in)³ = 61 in
