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Phantasy [73]
3 years ago
8

$1950 plus 15% is what

Mathematics
1 answer:
Fudgin [204]3 years ago
6 0
15% of 1950 = 1950 * 0.15 = 292.5
So, sum would be: 1950 + 292.5 = 2242.5

In short, Your Answer would be $2242.5

Hope this helps!
You might be interested in
A firm has a debt to asset ratio of 75%, $264,000 in debt, and net income of $49,280. calculate return on equity
svlad2 [7]
Asset = 264,000 / 0.75 = $352,000
Shareholders equity = $352,000 - $264,000 = 88,000

Return on equity = 49,280 / 88,000 x 100% = 56%
3 0
3 years ago
Find the sum or difference. a. -121 2 + 41 2 b. -0.35 - (-0.25)
s344n2d4d5 [400]

Answer:

2

Step-by-step explanation:

The reason an infinite sum like 1 + 1/2 + 1/4 + · · · can have a definite value is that one is really looking at the sequence of numbers

1

1 + 1/2 = 3/2

1 + 1/2 + 1/4 = 7/4

1 + 1/2 + 1/4 + 1/8 = 15/8

etc.,

and this sequence of numbers (1, 3/2, 7/4, 15/8, . . . ) is converging to a limit. It is this limit which we call the "value" of the infinite sum.

How do we find this value?

If we assume it exists and just want to find what it is, let's call it S. Now

S = 1 + 1/2 + 1/4 + 1/8 + · · ·

so, if we multiply it by 1/2, we get

(1/2) S = 1/2 + 1/4 + 1/8 + 1/16 + · · ·

Now, if we subtract the second equation from the first, the 1/2, 1/4, 1/8, etc. all cancel, and we get S - (1/2)S = 1 which means S/2 = 1 and so S = 2.

This same technique can be used to find the sum of any "geometric series", that it, a series where each term is some number r times the previous term. If the first term is a, then the series is

S = a + a r + a r^2 + a r^3 + · · ·

so, multiplying both sides by r,

r S = a r + a r^2 + a r^3 + a r^4 + · · ·

and, subtracting the second equation from the first, you get S - r S = a which you can solve to get S = a/(1-r). Your example was the case a = 1, r = 1/2.

In using this technique, we have assumed that the infinite sum exists, then found the value. But we can also use it to tell whether the sum exists or not: if you look at the finite sum

S = a + a r + a r^2 + a r^3 + · · · + a r^n

then multiply by r to get

rS = a r + a r^2 + a r^3 + a r^4 + · · · + a r^(n+1)

and subtract the second from the first, the terms a r, a r^2, . . . , a r^n all cancel and you are left with S - r S = a - a r^(n+1), so

(IMAGE)

As long as |r| < 1, the term r^(n+1) will go to zero as n goes to infinity, so the finite sum S will approach a / (1-r) as n goes to infinity. Thus the value of the infinite sum is a / (1-r), and this also proves that the infinite sum exists, as long as |r| < 1.

In your example, the finite sums were

1 = 2 - 1/1

3/2 = 2 - 1/2

7/4 = 2 - 1/4

15/8 = 2 - 1/8

and so on; the nth finite sum is 2 - 1/2^n. This converges to 2 as n goes to infinity, so 2 is the value of the infinite sum.

8 0
3 years ago
I need help and I SUCK at mathematics can yall help me I'm in 5th grade​
nalin [4]

Answer:

C

Step-by-step explanation:

1 1/4 = 1.25

1 4/5 = 1.8

1.8+1.25=3.05=3 1/20

6 0
3 years ago
Read 2 more answers
What is the solution set represented by this number line graph​
Maru [420]

Answer:

x ≥ 2

Step-by-step explanation:

The dot is shaded on the point positive 2 and the arrow is going right so its x ≥ 2.

6 0
3 years ago
the sum of three numbers is 112. the third number is 3 times the first. the second number is 7 more than the first. what are the
natta225 [31]

Answer:

all the would need water becouse water is the main reason to get live

8 0
3 years ago
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