Answer:$10.52
Step-by-step explanation:
Answer:
The continuous yearly interest is 22.5% per year.
Step-by-step explanation:
Continuous yearly interest:
Continuous yearly interest is defined as the sum of the interest comes from principle and the interest comes from interest.
The formula for continuous interest yearly is
![A=Pe^{rt}](https://tex.z-dn.net/?f=A%3DPe%5E%7Brt%7D)
where A = The final amount =$110,000
P= principle =$4,700
r= rate of interest
t= time (in year)= 14 years
![\therefore 110,000= 4,700e^{r\times 14}](https://tex.z-dn.net/?f=%5Ctherefore%20110%2C000%3D%204%2C700e%5E%7Br%5Ctimes%2014%7D)
![\Rightarrow e^{14r}= \frac{110,000}{4,700}](https://tex.z-dn.net/?f=%5CRightarrow%20e%5E%7B14r%7D%3D%20%5Cfrac%7B110%2C000%7D%7B4%2C700%7D)
Taking ln both sides
![\Rightarrow ln e^{14r}= ln(\frac{110,000}{4,700})](https://tex.z-dn.net/?f=%5CRightarrow%20ln%20e%5E%7B14r%7D%3D%20ln%28%5Cfrac%7B110%2C000%7D%7B4%2C700%7D%29)
![\Rightarrow {14r}= ln(\frac{1100}{47})](https://tex.z-dn.net/?f=%5CRightarrow%20%7B14r%7D%3D%20ln%28%5Cfrac%7B1100%7D%7B47%7D%29)
![\Rightarrow r=\frac{ln( \frac{1100}{47})}{14}](https://tex.z-dn.net/?f=%5CRightarrow%20r%3D%5Cfrac%7Bln%28%20%5Cfrac%7B1100%7D%7B47%7D%29%7D%7B14%7D)
(approx)
The continuous yearly interest is 0.225 = 22.5% per year.
Answer:
x + -2
Step-by-step explanation:
(editing answer to add how i got it)
3x +6=-3 (2x +4)
-3 (2x +4)
Multiply using the distributive property.
−
6
x
−
12 /2
3(2)(-3x - 4)
divide these by 2 will get you
SO ITS 3(2) +6 = 3(2) (2x +4)
Answer:
The slope would be 1/2.
Step-by-step explanation:
When solving questions like these, make sure to plug in the points into the formula:
. y2 would stand for the y coordinate of the second point, y1 would stand for the y coordinate of the first point. While x2 would stand for the x coordinate of the second point and x1 for the x coordinate of the first point. Once plugged in, it should look like this:
. That should then give you the slope of 1/2. Hope this helps!! :D