💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!
Get the answer to your homework problem.
Try Numerade free for 30 days
Like
Report
The amount of money in an account after $t$ years compounded continuously at 4.25$\%$ interest is given by the formula $A=A_{0} e^{0.0425 t},$ where $A_{0}$ is the initial amount invested. Find the average rate of change of the balance of the account from $t=1$ year to $t=2$ years if the initial amount invested is $\$ 1,000.00$
$\$ 45.3$ per year
Calculus 1 / AB
Chapter 12
Introduction to Calculus
Section 2
Finding Limits: Properties of Limits
Limits
Derivatives
Missouri State University
Campbell University
Idaho State University
Boston College
Lectures
03:09
In mathematics, precalculu…
31:55
In mathematics, a function…
05:21
Interest If $\$ 10,000$ ar…
11:33
00:40
When a deposit of $\$ 1000…
05:15
Interest If $\$ 1000$ is i…
05:12
04:03
Interest Compounded Contin…
05:05
With an initial deposit of…
04:24
A bank account earns $5 \%…
02:24
A sum of $\$ 1000$ is inve…
01:44
When $P$ dollars is invest…
that's what we're gonna do and you go to a not eating a joke. 104 to 5 30 And we know a knot is equal to one Belden and you have, ah, compound interest of 4.25%. Okay, so that's equal to distant over here and were given from T is equal to one in two years with chip. So we have a one is equal to 1000 you need to know 0.425 times one that's equal to 1043.4 two. Okay, 2 to 1000. You did it open to a 4 to 5 times two. That gives me women's Oh, it's 8.72 Now we're asked to find the average rate of change. That's this. A 210 8.72 minus 10 for 3.42 over one, which is itch threats this equal to 45.3 hours for you
View More Answers From This Book
Find Another Textbook
In mathematics, precalculus is the study of functions (as opposed to calculu…
In mathematics, a function (or map) f from a set X to a set Y is a rule whic…
Interest If $\$ 10,000$ are invested in an account that pays 2$\%$ compounde…
When a deposit of $\$ 1000$ is made into an account paying $8 \%$ interest, …
Interest If $\$ 1000$ is invested in an account that pays 5$\%$ compounded c…
Interest If $\$ 1000$ is invested in an account that pays 5$\%$ compounded a…
Interest Compounded Continuously. Suppose that $\$ 10,000$ is invested at an…
With an initial deposit of $\$ 100,$ the balance in a bank account after $t$…
A bank account earns $5 \%$ annual interest, compounded continuously. Money …
A sum of $\$ 1000$ is invested at an interest rate of $5 \frac{1}{2} \%$ com…
When $P$ dollars is invested at interest rate $i,$ compounded annually, for …
00:22
In Exercises 91–94, use the graphs of $f$ and g to evaluate each composite f…
In Exercises $81-94,$ begin by graphing the absolute value function, $f(x)=|…
00:31
In Exercises $107-118,$ begin by graphing the cube root function, $f(x)=\sqr…
04:10
For the following exercises, find the average rate of change $\frac{f(x+h)-f…
00:21
In Exercises $43-54,$ solve each absolute value equation or indicate the equ…
00:42
In Exercises 51–66, find$$ \text { a. } (f \circ g)(x) \quad \text { b. …
03:05
In Exercises $39-50,$ graph the given functions, $f$ and $g,$ in the same re…
03:44
01:08
For the following exercises, evaluate the following limits. $$\lim _…
00:50
Find the distance between each pair of points. If necessary, round answers t…
Create an account to get free access
Join Numerade as a
By clicking Sign up you accept Numerade's Terms of Service and Privacy Policy
or sign in with
Already have an account? Log in
