MATHEMATICS HIGH SCHOOL

Please simplify n-2/n^2-4

Answers

Answer 1
Answer:

Answer:

\frac{1}{ {n} + {2}}

Step-by-step explanation:

\frac{n - 2}{ {n}^(2) - 4} \n \n = \frac{n - 2}{ {n}^(2) - {2}^(2) } \n \n = \frac{n - 2}{ ({n} + {2})({n} - {2})} \n \n = \frac{1}{ {n} + {2}} \n

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Find the value of a−b/c−b if a=32, b=8, c=30. Write your answer as a simplified mixed number.Need soon thanks!

Answers

Answer: 1 1/11 or 12/11

Step-by-step explanation: a-b= 32-8 which equals 24. Then it would be c-b which is 30-8 which equals to 22. Then it would be 24/22. You can divide by two on both sides, which would be 12/11. Then as a mixed number, it would be 1 1/11.

Suppose that a family wants to start a college fund for their child. If they can get a rate of 5.5% , compounded monthly, and want the fund to have a value of $35,450 after 20 years, how much should they deposit monthly? Assume an ordinary annuity and round to the nearest cent.

Answers

Answer:

They should deposit $81.38 monthly.

Step-by-step explanation:

We know that,

\text{FV of annuity}=P\left(((1+r)^n-1)/(r)\right )

where,

FV of annuity = $35,450

P = monthly payment,

r = rate of interest = 5.5% annually = (5.5)/(12)\%

n = number period = 20 years = 240 months

Putting all the values,

\Rightarrow 35450=P\left(((1+(0.055)/(12))^(240)-1)/((0.055)/(12))\right )

\Rightarrow P(35450)/(\left(((1+(0.055)/(12))^(240)-1)/((0.055)/(12))\right ))

\Rightarrow P=\$81.38

Therefore, they should deposit $81.38 monthly.
In 20 years a family will be able to earn 35 450 dollars. The interest that they earned is 5.5% compounded monthly. Now, let's find out how much will they need to save monthly to get this amount in 20 year:
=> 12 * 20 = 240 months
=> 35 450 / 240 months = 147.7 dollars per month is the money with interest
Let's subtract the interest
=> 147.7 * 0.055 = 8.1 dollars.
=> 147.7 - 8.1 = 139.6 dollars per month.

The price of a pair of shoes increases from $51 to$69. what is the percent increase to the nearest percent?

Answers

Answer:

35%

Step-by-step explanation:

Can there be more than one point of intersection between the graphs of two linear equations? Explain

Answers

the only way that 2 lines can intersect more than 1 time is if they are the same line, then they intersect infinitely
if they are differnet lines, then they can only intersect 1 time at max

Add the decimals 64.5 +2.407+ 10+12.95

Answers

The Answer Is 89.857 :D :v
line up the decimal points.

64.5
2.407
10
+12.95=89.857

How to solve which fraction is larger 10/13 or 11/14 or 14/15 or 17/18

Answers

To solve these type of problem you have to make the denominator the same or use the claculator.

let us do this problem by making the denominator the same.

(10)/(13) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (11)/(14) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (14)/(15) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (17)/(18) \n\n (10)/(13)* (3780)/(3780) \ \ \ \ \ \ \ \ \ (11)/(14) * (3510)/(3510) \ \ \ \ \ \ \ \ \ (14)/(15) * (3276)/(3276) \ \ \ \ \ \ \ \ \ (17)/(18) * (2730)/(2730)

(37800)/(49140) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (38610)/(49140) \ \ \ \ \ \ \ \ \ \ \ \ \ \ (45864)/(49140) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (46410)/(49140)

So, now. the one with the largest numerator is the largest fraction

In this case, (46410)/(49140) is the largest which is equal to (17)/(18).

So, the largest fraction is (17)/(18).
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