Answer:
14,850
Step-by-step explanation:
You need the sum of
3 + 6 + 9 + 12 + ... + 294 + 297
Factor out a 3 from the sum
3 + 6 + 9 + 12 + ... + 294 + 297 = 3(1 + 2 + 3 + 4 + ... + 98 + 99)
You need to add all integers from 1 to 99 and multiply by 3.
The sum of all consecutive integers from 1 to n is:
[n(n + 1)]/2
The sum of all consecutive integers from 1 to 99 is
[99(99 + 1)]/2
The sum you need is 3 * [99(99 + 1)]/2
3 + 6 + 9 + 12 + ... + 294 + 297 =
= 3 * [99(99 + 1)]/2
= 3 * [99(100)]/2
= 3 * 9900/2
= 14,850
The amount he had to pay if he have to purchase a laptop today that is the same value as the one he saw in the ad is $ 390.24.
Given that:-
Price of the laptop after 1 year = $ 400.
Inflation rate = 2.5 %
We have to find the amount he had to pay if he have to purchase a laptop today that is the same value as the one he saw in the ad.
Let the price he had to pay be x.
Hence, we can write,
x + (x*(2.5)*1)/100 = 400
x(1 + 1/40) = 400
x(41/40) = 400
x = 400*40/41 = $ 16000/41 = $ 390.24.
To learn more about amount, here:-
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-6 +8x = -38
8x = -32
x = -4
I did this by first adding 6 to both sides to get 8x by itself. I then divided by 8 to get x by itself. I remembered to use the - - + rule (Two negatives make a positive, a positive and a negative make a negative). Hope this helps!
<span>The correct answer is option C. i.e. When a a parallelogram rotates about its center., then taking 180 degrees as the angle of rotation, the image of the parallelogram coincide with its preimage. Thus 180 degree rotation is the answer.</span>
Answer:
Step-by-step explanation:
Let
x ----> the number of 1/3 in that are in 5/6 in
To find out the number of 1/3 in that are in 5/6 in, divide 5/6 by 1/3
so
Multiply in cross
Convert to mixed number
