Sum of a Sequence
Exponential Functions
How "interest"ing
Stuff from other catagories
100
Evaluate
300
100
What is the common difference modeld by this graph?
Common difference is 1.8
100
Find the ending balance of $22,000 invested at 9% simple interest for 5 years.
$31900
100
The chess club is running a jackpoint in which the prize will start at $6700 for the first game and then increase by $67 for each game after that if there is no winner. What is the prize for the 7th week?
$7102
200
Given the arithmetic sequence: 4,6,8 find the sum of the first 18 terms.
378
200
For each function decide if it shows growth or decay.
a) y=4(1/4)^x
b) y=67(1.3)^x
A) decay
B)growth
200
Kingston invested $670 that earns an interest rate of 6.7% compounded quarterly. Find the ending balance after 4 years.
$873.98
200
Find the 9th term of this sequence.
{2,4,8,16}
1024
300
An AI has written 200 lines of code in its first week of time. Each week that amont increases by 17. How many total lines of code would it have written after 8 weeks?
2076
300
The population of Summerville High School was 5000 in 2008. The population decreased by 5% each year. Write a formula to model this change.
y=5000(.95)^x
300
Jade borrowed $2000 and is charged an interest rate of 5% compounded semi-annually. What is the total amount in her account after 12 months.
A=2101.25
or $2101.25
300
Solve for x.
4^(x+10)=4^20
x=10
400
You decide to start a fitness challenge to prep for summer. On Day 1, you do 15 squats. Every day after that, you add 2 more squats than you did the day before.
If you keep this "streak" going for 30 days, what is the total number of squats you will have completed by the end of the month?
1320 squats
400
Write an equation for the following situation.
A student posts a video of their "unspoken rizz" on TikTok. It starts with 800 views the moment it hits the For You Page. If the view count increases by 45% every hour, which function models the total views V after h hours?
V(h)=800(1.45)^h
400
Two friends, Alex and Sam, each save \(\$5,000\) from a summer job. They both find accounts with a \(6\%\) interest rate, but the rules are different:
- Alex uses a basic savings account that pays 6% simple interest.
- Sam puts the money into an Index Fund that earns 6% interest compounded annually.
If they both leave the money alone for 10 years until they graduate college, who will have more money and how much more will it be?
Sam - will have $954.24 more than Alex.
400
Write an equation for the following scenario.
You start a custom sneaker-cleaning business. In your first week, you clean 10 pairs of shoes. As word spreads on social media, you find that you can handle 3 more pairs every week than you did the week before.
If this growth continues, how many total pairs of sneakers will you have cleaned by the end of your 10th week?
235
500
You’re selling a pair of rare, deadstock sneakers to a friend who wants to pay you in a weird way. They offer to pay you 1 cent today, and then triple the payment every day for 10 days. How much money would you have after 10 days?
$295.24
500
The values in the table represent an exponential funciton in the form
y=a(b)^x. Based on the table, what is the value of a?
5000
500
Solve for x:
3^(4x+5)*3^(-2x)=3^(x+8)
x=3
500
Solve for x.
5^(4x-30)=25
x=8