Answer:
$7.94
Step-by-step explanation:
We have been given that on January 4, Janelle Ruskinoff deposited $2192.06 in a savings account that pays 5.5 percent interest compounded daily. We are asked to find the amount of interest earned in 24 days.
We will use compound interest formula to solve our given problem.
, where,
A = Final amount after t years,
r = Annual interest rate in decimal form,
n = Number of times interest is compounded per year,
t = time in years.
24 days in years would be 
.
Upon substituting our given values in above formula, we will get:
To find amount of interest earned, we will subtract principal amount from final amount as:
Therefore, her money will earn approximately $7.94 in 24 days.
Answer:
Prachi was 5 kilometers east of her home when she began driving farther east at 70 kilometers per hour.
Let f(n) be Prachi's distance from her home at the beginning of the nth hour of her drive.
f is an arithmetic sequence.
Write an explicit formula for the sequence.
f(n) = 70n + 5
Step-by-step explanation:
Answer:
answer: 2:2
Step-by-step explanation:
1:2+2:2 to get 3:4
Let r = usual driving rate
let t = usual driving time
We need to figure out t
The distance she covers in her usual time at her usual rate is r*t
The distance she covers in her new time at her new rate is:
(1+t)*((2/3)r)
Set this equal to each other and solve for t.
rt = (2/3)r + (2/3)rt
(1/3)rt = (2/3)r
(1/3)t = (2/3)
t = 2
So her usual time is 2 hours. (There's probably a faster way to do this)
Taking the derivative of both sides with respect to 
gives
![\dfrac{\mathrm d}{\mathrm dx}[x^2]=\dfrac{\mathrm d}{\mathrm dx}[-2+y+5\cos y]](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Bx%5E2%5D%3D%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5B-2%2By%2B5%5Ccos%20y%5D)
When 
, we have two possible values of :
so we have two possible values 
.
