Think of the two pieces together as a single cone of height 19, and its volume.
Then think of only the upper piece as a cone, and find its volume.
The volume of the frustum is the total volume minus the volume of the upper piece.
The volume of a cone is:
Total volume:
Volume of upper cone:
Volume of frustum:
Answer:
Step-by-step explanation:
Method 1: Taking the log of both sides...
So take the log of both sides...
5^(2x + 1) = 25
log 5^(2x + 1) = log 25 <-- use property: log (a^x) = x log a...
(2x + 1)log 5 = log 25 <-- distribute log 5 inside the brackets...
(2x)log 5 + log 5 = log 25 <-- subtract log 5 both sides of the equation...
(2x)log 5 + log 5 - log 5 = log 25 - log 5
(2x)log 5 = log (25/5) <-- use property: log a - log b = log (a/b)
(2x)log 5 = log 5 <-- divide both sides by log 5
(2x)log 5 / log 5 = log 5 / log 5 <--- this equals 1..
2x = 1
x=1/2
Method 2
5^(2x+1)=5^2
2x+1=2
2x=1
x=1/2
Answer:
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
substitute in the formula above
Hey!
To solve this problem, we'll first start by creating an equation.
<em>Our Created Equation :
</em>
Now we'll solve it step by step to find the answer.
So we should begin by multiplying the to portion of our fraction.
<em>400 x 60 = 24,000</em>
Next, we divide our answer by 100, since that is the next step to our equation.
<em>24,000 ÷ 100 = 240</em>
So, our answer is...
<em>Paul has already saved</em>
$240.00 <em>of the $400.00 he must pay for a new bike.</em>
Hope this helps!
- Lindsey Frazier ♥
So with the 10% discount, thats 45$, adding tax, that's <span>$47.70.</span>
