Answer:
1/3(0.3333333333%)
Step-by-step explanation:
There are six sides, and you can only land on one at a time on each die, so there is a one-in-three chance of landing on a three.
The annual interest rate is 3.5%.
Solution:
Given Interest (I) = $26.25
Principal (P) = $500
Time (t) = 18 months
Rate of interest (r) = ?
Time must be in years to find the rate per annum.
1 year = 12 months
Divide the time by 12.
Time (t) =
years
Now, find the rate of interest using simple interest formula.
<u>Simple interest formula:</u>
![$I=\frac{Prt}{100}](https://tex.z-dn.net/?f=%24I%3D%5Cfrac%7BPrt%7D%7B100%7D)
![$26.25=\frac{500\times r\times \frac{3}{2} }{100}](https://tex.z-dn.net/?f=%2426.25%3D%5Cfrac%7B500%5Ctimes%20r%5Ctimes%20%5Cfrac%7B3%7D%7B2%7D%20%7D%7B100%7D)
![$26.25\times 100 =500\times r\times \frac{3}{2}](https://tex.z-dn.net/?f=%2426.25%5Ctimes%20100%20%3D500%5Ctimes%20r%5Ctimes%20%5Cfrac%7B3%7D%7B2%7D)
![$2625 =250\times r\times 3](https://tex.z-dn.net/?f=%242625%20%3D250%5Ctimes%20r%5Ctimes%203)
![$2625 =750\times r](https://tex.z-dn.net/?f=%242625%20%3D750%5Ctimes%20r)
![$\Rightarrow r=\frac{2625}{750}](https://tex.z-dn.net/?f=%24%5CRightarrow%20r%3D%5Cfrac%7B2625%7D%7B750%7D)
⇒ r = 3.5%
Hence the annual interest rate is 3.5%.
Functions can be used to model real life situations.
The hose is 3.2 feet above the ground, at a horizontal distance of 4 fee
The function is given as:
![f(x) =-0.3x^2 + 2x](https://tex.z-dn.net/?f=f%28x%29%20%3D-0.3x%5E2%20%2B%202x)
At a horizontal distance of 4 feet, the value of x is 4
i.e. ![x = 4](https://tex.z-dn.net/?f=x%20%3D%204)
Substitute 4 for x in f(x).
So, we have:
![f(4) =-0.3(4)^2 + 2(4)](https://tex.z-dn.net/?f=f%284%29%20%3D-0.3%284%29%5E2%20%2B%202%284%29)
Evaluate the exponent
![f(4) =-0.3(16) + 2(4)](https://tex.z-dn.net/?f=f%284%29%20%3D-0.3%2816%29%20%2B%202%284%29)
Open both brackets
![f(4) =-4.8 + 8](https://tex.z-dn.net/?f=f%284%29%20%3D-4.8%20%2B%208)
Add -4.8 and 8
![f(4) =3.2](https://tex.z-dn.net/?f=f%284%29%20%3D3.2)
Hence, the hose is 3.2 feet above the ground
Read more about functions at:
brainly.com/question/10837575
Answer:
Step-by-step explanation:
5y + 3 + 2y - 7
=7y - 4
Answer:
GH = 4
Step-by-step explanation:
Since G is between F and H then
FG + GH = FH , that is
8 + GH = 12 ( subtract 8 from both sides )
GH = 4