Answer:
x =12
Step-by-step explanation:
We can use the Pythagorean theorem to solve for x
a^2 + b^2 = c^2
16^2 + x^2 = 20^2
256 +x^2 = 400
Subtract 256 from each side
256-256 +x^2 = 400-256
x^2 =144
Take the square root of each side
sqrt(x^2) =sqrt(144)
x = 12
Answer:
13.86
Step-by-step explanation:
formula for cont. compounding interest is
Amount = Principal * e^rt
in this case the principal is 5000, and the amount is 10000 (double). the rate is 5% or 0.05. and t is what we are solving for.
sub in to get:
10000 = 5000e^0.05t
2 = e^0.05t
now convert to log form.
ln 2 = 0.05t
ln 2 / 0.05 = t
punch that into your calculator and you get 13.86 years
-4 is the first consecutive even integer following -6<span />
Answer:
Step-by-step explanation:
When 
, we have 
.
Combining like terms on the right side, we have 
.
Finally, dividing by 
we get 
.
We note that 
and 
, so 
.
So, 
and we're done!
Distribute
-2(x+6)+3
-2x-12+3
-2x-12+3=-11x+4(x+4)
Distribute
4(x+4)
4x+16
-2x-12+3=-11x+4x+16
Combine Numbers && Variables
-2x-9=-7x+16
Add The 7 Over To The -2x
5x-9=16
Add 9 Over To 16
5x=25
x=5
So 5 Is Your Answer
~Hope This Helps :)
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