<u><em>Answer:</em></u>
5%
<u><em>Explanation:</em></u>
% she earned in interest can be calculated by calculating the % of increase in the balance
<u>We have:</u>
Original balance = $12,450
Amount of interest = $622.5
<u>This means that:</u>
new balance = 12,450 + 622.5 = $13,072.5
<u>Now, we can get the percentage of increase:</u>
% of increase = 
<u>Substitute with the values we have to get the percentage of interest earned as follows:</u>
% of interest earned = 
= 5%
Hope this helps :)
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
Answer:
<u>The initial deposit that Terry made was $ 150</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Future Value of the account = $ 156
Interest rate = 4% simple interest = 0.04
Terry did not make any withdrawal or deposits
2. What was the beginnings amount of money in Terry's account?
Let's recall the simple interest formula for answer this question:
FV = P * (1 + rt)
Replacing with the values we have:
156 = P * (1 + 0.04)
156 = 1.04p
P = 156/1.04
P = 150
<u>The initial deposit that Terry made was $ 150</u>
Answer:
no diagram attached, please attach
Answer:
-0.37
Step-by-step explanation:
