Add them, then multiply them by the answer
Answer:
Step-by-step explanation:
The compounding formula for this is
where A(t) is the amount after all the compounding is done, P is the initial investment, r is the interest rate as a decimal, n is the number of times the interest compounds per year, and t is the time in years. For us, our n is 2, since the money compounds every 6 months, and 6 months goes into 1 year 2 times. Our formula then is:
which simplifies a bit to
which simplifies a bit more to
Raise 1.06 to the power of 18 and then multiply the 2 numbers together:
A(t) = 823(2.854339153) so
A(t) = 2349.12
Answer:
24 mph for both 60 miles and 40 miles.
Step-by-step explanation:
We need to find how long it takes to get to college and from it.
Speed x time (x) = Distance (60)
30x = 60
x=2
It takes two hours to get to college
20x = 60
x = 3
It takes 3 hours to get back. It's a total of 5 hours, 2 hours at 30mph and 3 at 20. Now we need to find the average
30+30+20+20+20=120
120/5= 24
The average speed for the round trip is 24.
To do the second part, we follow the same process, but replace 60 with 40 for distance.
30x=40
x= 1.33
20x=40
x=2
We can add the total distance and divide by total time to find the average.
The total distance is 80. Time is 3.33
80/3.33=24
The average speed is still 24.
<h3>
Answer: 6m</h3>
12m can be written as 6m*2
18m^2 can be written as 6m*3m
Both factorizations have '6m' in them, which shows we have a common factor. This is the greatest common factor as we cannot pull anything further out, ie, 2 and 3m have nothing in common other than 1.
Answer:
x>3
Step-by-step explanation:
8x-6>12+2x
Subtract 2x from each side
8x-2x-6>12+2x-2x
6x -6 > 12
Add 6 to each side
6x-6 +6 > 12+6
6x> 18
Divide each side by 6
6x/6 >18/6
x>3