The formula is
A=p (1+r/k)^kt
A future value 3000
P present value 150
R interest rate 0.025
T time?
3000=150 (1+0.025/12)^12t
Solve for t
3000/150=(1+0.025/12)^12t
Take the log
Log (3000/150)=log (1+0.025/12)×12t
12t=Log (3000/150)÷log (1+0.025/12)
T=(log(3,000÷150)÷log(1+0.025÷12))÷12
T=119.95 years
Answer:
2/(a-4b) is the required ans
check the attachment for help
Answer:
18
Step-by-step explanation:
Answer:
$44.31
Step-by-step explanation:
Regular Price = $42
Sales Tax Rate = 5 1/2% or 5.5%
The total cost would be the regular price PLUS the sales tax. We find the sales tax by finding 42's 5.5%.
First, converting percentage to decimal (dividing by 100):
5.5% = 5.5/100 = 0.055
Now finding 5.5% of $42:
42 * 0.055 = $2.31
Now, the total price is the SUM of regular and this sales tax:
Total Price = 42 + 2.31 = $44.31
Answer:
8.058655822 mins
Step-by-step explanation:
We have a table and to solve for this we might want to find the equation for this
This is a exponential function
To solve for this we need the rate of decay and the x intercept
We know the x intercept is 180 because in 0 mins the temp is 180
To solve for decay we need to know the temp of the cake after 1 min
to get the decay value we can do
125= 180 (x)^5
.69444444444 = x^5
0.929667185 = x
so the equation would be
180 (0.929667185)^x
if we tell this equation to equal 100
we get
100 = 180 (0.929667185)^x
.5556 = (0.929667185)^x
log .5556 = log 0.929667185 *x
log .5556 / log .929667185)
8.058655822= x
After 8.058655822 mins the cake will be 100 degrees