PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Mathematics

1 answer:

ikadub [295]3 years ago

7 0

Answer: 4095

<u>Step-by-step explanation:</u>

He sold 1 car on the first day so the first term (a) is 1. The amount doubles each month so the ratio (r) is 2.

Input those values into the Sum formula:

$S_n=\dfrac{a(1-r^n)}{1-r}\\\\S_{12}=\dfrac{1(1-2^{12})}{1-2}\\\\.\quad=\dfrac{1-4096}{-1}\\\\.\quad=\dfrac{-4095}{-1}\\\\.\quad=4095$

You might be interested in

Raymond was asked to solve for the length of the hypotenuse in a right triangle with legs that have side lengths of 4 and 5. His

ohaa [14]

Answer:

Raymond's mistake was on the last step, since he didn't square root both sides

The correct answer should be

$c = \sqrt{41}$

Step-by-step explanation:

$a^2 + b^2 = c^2\\4^2 + 5^2 = c^2\\16 + 25 = c^2\\c^2 = 41\\c = \sqrt{41}$

Good luck!

3 0

2 years ago

3 (x-k)/w = 4 solve for x

Trava [24]

<span>Actually the above equation can be solved by following the below steps to fins the value of x Step1: 3(x-k)/w=4 Step 2: (3x-3k)/w=4 Step 3: (3x-3k)=4w Step 4: 3x=4w+3k So hence therefore by following the above steps we can conclude that the value of x is Step 5: x=(4w+3k)/3</span>

3 0

3 years ago

find the angle between the vectors. (first find the exact expression and then approximate to the nearest degree. ) a=[1,2,-2]. B

SashulF [63]

Answer:

$\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190$

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately $\theta \approx 48$

Step-by-step explanation:

For this case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.

a=[1,2,-2], b=[4,0,-3,]

The dot product on this case is:

$a b= (1)*(4) + (2)*(0)+ (-2)*(-3)=10$