The are of the triangle is mathematically given as
a=62.4in^2. This is further explained below.
<h3>What is the area of the
triangle?</h3>
Generally, the equation for the area is mathematically given as
a= 0.5(base X height)
Therefore
a= 0.5 (10.4 x 12)
a=62.4in^2
In conclusion, The area of the triangle is
a=62.4in^2
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Distribute the six: 6y+6x
For maximum security I would advise you to add capital letters
Answer:
It'll take 6.97 minutes to have only 1 package remaining.
Step-by-step explanation:
This problem can be interpreted as a compounded interest problem, where the initial amount is 172 packages the interest is 52% and the final amount is 1 package. The formula for compounded interest is:
M = C*(1 - r)^(t)
Where M is the final amount, C is the initial amount, r is the interest rate and t is time elapsed. So we have:
1 = 172*(1 - 0.52)^(t)
1 = 172*(0.48)^t
1/172 = 0.48^t
0.48^t = 0.006
log(0.48^t) = log(0.006)
t*log(0.48) = log(0.006)
-0.734*t = -5.116
t = 6.97
It'll take 6.97 minutes to have only 1 package remaining.
Answer:
So, our rate of exponential growth is is 6.93 %
Step-by-step explanation:
The formula for exponential growth rate is
A = P
.... (1
Here
P = is the initial investment
A = amount after certain time
As we are given after 10 years (t = 10) the investment doubles
so plugging A=2P and t= 10 into equation (1)
2P = P
cancelling P on both sides
2 =
taking natural log on both sides
ln (2) = ln (
ln(2) = 10r(lne)
as ln(e) = 1
ln (2) = 10r
r = ![\frac{ln(2)}{10}](https://tex.z-dn.net/?f=%5Cfrac%7Bln%282%29%7D%7B10%7D%20%20)
solving the natural log
r = 0.0693
or
r =6.93 %
So, our rate is 6.93 %