We must find time by using the simple interest formula:
I = P x i x t
I is the interest
P is the total principal
i is the rate of interest per year
t is the total time in years
In this example, when we plug our known values in, our formula looks like this:
t =
t =
t = 4
So time (in years) would be 4 years.
In order to begin we must start off with the formula for the area of a triangle, which is a=1/2b(h) where a is area, b is base, and h is height.
In this scenario, we know that the area is 45cm^2 and the base is 2h+12 (since it is twice it’s height plus twelve). We can plug this into the area equation and then proceed to solve out accordingly.
a=1/2b(h)
45=1/2(2h+12)(h)
90=(2h+12)(h)
90=2h^2 + 12h
0= 2h^2 + 12h - 90
Simplify by dividing the two out.
h^2 + 6h - 45 = 0.
Now plug into the quadratic formula (with a=1, b=6, and c=-45) as shown in the image below.
After plugging the equation in and solving, we come to the idea that h is roughly equal to 4.34. We can now plug this back into the triangle area formula to solve out for b.
a=1/2b(h)
45=1/2(2h + 12)(h)
45=1/2(20.69)(4.34)
45=45.
In conclusion;
The height is ≈ 4.34
The base is ≈ 8.68
Hope this helps :)
Answer:
-20 gallons per minute
Step-by-step explanation:
42 (1- 25/100) = 63/2 = 31.5 dollars
answer is $31.50
hope it helps
Answer:
1
Step-by-step explanation:
10³/10³
10³-³
10⁰=1
Formula a¹÷a¹=a¹-¹=a⁰. (Exponents and Powers)
And
a⁰=1
hope it helps..
