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maw [93]
3 years ago
14

Prove: The difference of the reciprocals

Mathematics
1 answer:
murzikaleks [220]3 years ago
7 0

Step-by-step explanation:

let two successive integers n, n+1

difference of the reciprocals:

\frac{1}{n}-\frac{1}{n+1} \\=\frac{(n+1)-n}{(n)(n+1)}\\=\frac{1}{(n)(n+1)}\\=\frac{1}{(n)}\frac{1}{(n+1)}\\

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Caroline won $205000 in a lottery. After paying $96000 in taxes, she placed the remaining amount in a savings account at a 2% in
natka813 [3]

Answer: $1090

Step-by-step explanation:

Since Caroline won $205000 in a lottery and then paid $96000 in taxes, the remaining amount will be:

= $205000 - $96000

= $109000

The interest that the account will earn after just 6 months will be:

Interest = PRT

= 109000 × 2% × 6/12

= 109000 × 0.02 × 0.5

= $1090

6 0
3 years ago
What is the slope of a line perpendicular to the line y = −14x – 1?
mash [69]

Answer:

<h2>         m = ¹/₁₄</h2>

Step-by-step explanation:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

{Two lines are perpendicular if the product of theirs slopes is equal -1}

y = -14x - 1   ⇒   m₁ = -14

-14×m₂ = -1        ⇒    m₂ = ¹/₁₄

So, the slope of a line perpendicular to the line y = -14x - 1 is m = ¹/₁₄

5 0
3 years ago
Which situation can be represented by the equation 4d + 5 = 29?
lys-0071 [83]

Answer:

d=6

Step-by-step explanation:

subtract 5 from both sides

then simplify what you get

then divide both sides by 4

then simplify to get answer

4 0
3 years ago
Which equation is graphed here?
lyudmila [28]
Y = (-3/2)x + 1 is the equatjon
3 0
3 years ago
(7y is supposed to be 7x)
Andrei [34K]

Answer:

Step-by-step explanation:

Angle E is (7x+27) because it is corresponding.

So, 7x+27+15x-5=180 (angle on a straight line is 180 degrees

22x+22=180

22x=158

x= 158/22 = 7.18'

7 0
2 years ago
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