Answer:
w > -1
Step-by-step explanation:
53w + 13 < 56w + 16
Get w to one side.
Subtract 53w from both sides.
13 < 3w + 16
Get 3w by itself.
Subtract 16 from both sides.
-3 < 3w
Divide both sides by 3 to solve for w.
-1 < w
or
w > -1
I hope this helps!
The value you should get is 34. I'm assuming n is variable we should use. "the square of a number increased by 9" = "n^2+9" in an algebraic expression. then you plug in. 5^2+9 and then solve. 5^2=25. 25+9=34
Given that this is a right triangle, we can use the Pythagorean Theorem which is expressed as:
a^2 + b^2 = c^2
where c is the hypotenuse and a, b are the other two legs.
c = sqrt ( 5^2 + 12^2 ) = 13
Hope this answers the question. Have a nice day.
Answer: the interest rate is 6%
Step-by-step explanation:
The formula for continuously compounded interest is
A = P x e (r x t)
Where
A represents the future value of the investment after t years.
P represents the present value or initial amount invested
r represents the interest rate
t represents the time in years for which the investment was made.
e is the mathematical constant approximated as 2.7183.
From the information given,
A = $4482
P = 1000
t = 25 years
Therefore,
4482 = 1000 x 2.7183^(r x 25)
4482/1000 = 2.7183^25r
4.482 = 2.7183^25r
Taking ln of both sides, it becomes
Ln 4.482 = 25rLn2.7183
1.5 = 25r
r = 1.5/25 = 0.06
r = 0.06 × 100 = 6%
Answer:
About 48 gallons so B
Step-by-step explanation:
440/20=22 miles per gallon
1054/22=47.90909091...
