To solve this we are going to use the formula for compounded interest:

where

is the final amount after

years

is the initial amount

is the interest rate in decimal form

is the number of times the interest is compounded per year

is the time in years
We know for our problem that

,

, and

. Since the interest is compounded daily, it is compounded 365 times in year; therefore,

. Lets replace those values in our formula to find

:



We can conclude the amount in Diane's after 3 years will be <span>
$1,603.31</span>
Answer:
x= 2√37
Step-by-step explanation:
First thing you want to do is find the length of the missing side where the the right angle is at. You can find that with the pythagorean theorem of the other triangle, since you are already given 2 sides.
Pythagorean Theorem

a=2
b=?
c=2√2
Plug in and solve for b.
2^2+b^2=(2√2)^2
4+b^2=8
b^2=4
b=2
Now use the pythagorean theorem again to find your x side.
a=2
b=12
c=?
2^2+12^2=c^2
4+144=c^2
148=c^2
c=√148
c=2√37
Answer:
the first one
Step-by-step explanation:
Answer:
=−12x+4
Step-by-step explanation:
−6(
−2
/3
+2x)
=(−6)(
−2
/3
+2x)
=(−6)(
−2
/3
)+(−6)(2x)
=4−12x
=−12x+4