Formula of the sum of the 1st nth term in a Geometric Progression:
Sum = a₁(1-rⁿ)/(1-r), where a₁ = 1st term, r = common ratio and n= rank nth of term (r≠1)
Sum = (-11)[1-(-5⁸)] /[(1-(-5)]
Sum = (-11)(1- 390625)/(6)
SUM = 716,144
Answer:
x=18
Step-by-step explanation:
We need to find the areas of the rectangles
1st rectangle
A= l*w
A = (2x+4)*9
= 18x+36
2nd rectangle
A = l*w
= 15*(3x-30)
= 45x-450
Since the area of the rectangles are equal, we set these two equations equal
18x+36 = 45x-450
Subtract 18x from each side
18x-18x+36 = 45x-18x-450
36 = 27x-450
Add 450 to each side
36+450 =27x
486 = 27x
Divide by 27 on each side
486/27 = 27x/27
18=x
Answer:
2,250,000 km
Step-by-step explanation:
From the above question our scale is given as:
1 m : 250000km
We are trying to find the distance between two villages which is 9m apart in kilometers
Hence
1 m : 250000km
= 1 m = 250000km
9m = x km
Cross Multiply
x km = 9 × 250,000km
x km = 2,250,000 km
Answer:
a) $259.54 b) 317.21
Step-by-step explanation:
45% of $576.75 is $259.54
$576.75 - $259.54 = $317.21
