Answer:
Dale will reach his goal at an annual rate of 11.83%.
Step-by-step explanation:
The formula for continuos compounding is given by:
![A(t) = Pe^{rt}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20Pe%5E%7Brt%7D)
In which A is the amount after t years, P is the principal(initial amount) and r is the annual rate.
Dale has 2000 dollars to invest.
This means that ![P = 2000](https://tex.z-dn.net/?f=P%20%3D%202000)
He has a goal to have 5800 in this invest ment in 9 years.
So ![A(9) = 5800](https://tex.z-dn.net/?f=A%289%29%20%3D%205800)
At what annual rate compounded continuously will Dale reach his goal?
This is r.
![A(t) = Pe^{rt}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20Pe%5E%7Brt%7D)
![5800 = 2000e^{9r}](https://tex.z-dn.net/?f=5800%20%3D%202000e%5E%7B9r%7D)
![e^{9r} = \frac{58}{20}](https://tex.z-dn.net/?f=e%5E%7B9r%7D%20%3D%20%5Cfrac%7B58%7D%7B20%7D)
![e^{9r} = 2.9](https://tex.z-dn.net/?f=e%5E%7B9r%7D%20%3D%202.9)
![\ln{e^{9r}} = \ln{2.9}](https://tex.z-dn.net/?f=%5Cln%7Be%5E%7B9r%7D%7D%20%3D%20%5Cln%7B2.9%7D)
![9r = \ln{2.9}](https://tex.z-dn.net/?f=9r%20%3D%20%5Cln%7B2.9%7D)
![r = \frac{\ln{2.9}}{9}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B%5Cln%7B2.9%7D%7D%7B9%7D)
![r = 0.1183](https://tex.z-dn.net/?f=r%20%3D%200.1183)
Dale will reach his goal at an annual rate of 11.83%.
Answer:
Look down!!
Step-by-step explanation:
Since two points determine any line, we can graph lines using the x- and y-intercepts. To find the x-intercept, set y = 0 and solve for x. To find the y-intercept, set x = 0 and solve for y. This method of finding x- and y-intercepts will be used throughout our study of algebra because it works for any equation.
Ex.
4=2+2
y=4
x=2
Hope this helps!!
What we know:
- number of meeting rooms = m
- chairs in each meeting room = 325
Since we need an equation to represent the number of chairs in m meeting rooms, we would multiply the amount of chairs per meeting room (325) by m. This amount is c. So the equation becomes:
c = 325m
Now the question asks for the amount of chairs if there are 7 meeting rooms in the hotel. To find this, substitute 7 for m into c = 325m.
c = 325m
c = 325(7)
c = 2275
Answer:
The equation is c = 325m, and the amount of chairs if m equals 7 is 2,275.
While fire clay bricks have a density of 2400 kg/m3, for common red bricks it is 1900 kg/m3 . [
15
Step-by-step explanation: