I assume you mean:
P=m/(1+rt) multiply both sides by (1+rt)
P(1+rt)=m perform indicated multiplication on left side
P+Prt=m subtract P from both sides
Prt=m-P divide both sides by Pr
t=(m-P)/(Pr)
well, x-intercept means for a graphed funciton where the x-axis gets touched/intercepted, Check the picture below, when that occurs, y = 0, so if we want to know what "x" is at that point we can simply set y = 0 and solve for "x".
![-3x-5y=12\implies \stackrel{\textit{setting y = 0}}{-3x-5(0) =12}\implies -3x-0=12 \\\\\\ -3x=12\implies x=\cfrac{12}{-3}\implies x = -4 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{coordinates}}{(-4~~,~~0)}~\hfill](https://tex.z-dn.net/?f=-3x-5y%3D12%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bsetting%20y%20%3D%200%7D%7D%7B-3x-5%280%29%20%3D12%7D%5Cimplies%20-3x-0%3D12%20%5C%5C%5C%5C%5C%5C%20-3x%3D12%5Cimplies%20x%3D%5Ccfrac%7B12%7D%7B-3%7D%5Cimplies%20x%20%3D%20-4%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20~%5Chfill%20%5Cstackrel%7B%5Ctextit%7Bcoordinates%7D%7D%7B%28-4~~%2C~~0%29%7D~%5Chfill)
Step-by-step explanation:
the sequence is arithmetic due to the common difference that is equal
d=11-15=7-11=-4
a(n) = a1 +(n-1)d
a1=15
Then :
a(n) = 15+(n-1)-4
hope this helps
Answer:
The correct answer is first option 60%
Step-by-step explanation:
The radius of a circle is inscribed in an equilateral triangle with side a = a/2√3
<u>To find the area of equilateral triangle</u>
Here side be 'a'
Area of equilateral = √3a²/4
<u>To find the area of circle</u>
Here radius = a/2√3
Area = πr²
= π(a/2√3)
= 3.14a²/12
<u>To find the probability</u>
probability = area of circle/area of triangle
= 3.14a²/12/ √3a²/4
= 3.14/3√3
= 0.6043 ≈ 60.43 % 60 %
The correct answer is first option 60%
