Answer:
5
Explanation:
Let the number equal x. Half the number is then
x
2
and the reciprocal of that is
2
x
The reciprocal of the number is
1
x
and half that is
1
2
x
then
2
x
+
1
2
x
=
1
2
4
x
+
x
2
x
2
=
1
2
10
x
=
2
x
2
2
x
2
−
10
x
=
0
2
x
(
x
−
5
)
=
0
Zero is not viable solution as its reciprocal is infinity. The answer is therefore
x
=
5
<h3>
Answer:</h3><h3 /><h3>Amount = Rs 13891.50</h3><h3>Compound interest = Rs 1891.50</h3>
Step-by-step explanation:
C = Amount (A) - Principal (P)
Where
C is the compound interest
To find the amount we use the formula
![A = P ({1 + \frac{r}{100} })^{n}](https://tex.z-dn.net/?f=A%20%3D%20P%20%28%7B1%20%2B%20%20%5Cfrac%7Br%7D%7B100%7D%20%7D%29%5E%7Bn%7D%20)
where
P is the principal
r is the rate
n is the period / time
From the question
P = Rs 12, 000
r = 5%
n = 3 years
Substitute the values into the above formula
That's
![A = 12000 ({1 + \frac{5}{100} })^{3} \\ A = 12000(1 + 0.05)^{3} \\ A = 12000 ({1.05})^{3}](https://tex.z-dn.net/?f=A%20%3D%2012000%20%28%7B1%20%2B%20%20%5Cfrac%7B5%7D%7B100%7D%20%7D%29%5E%7B3%7D%20%20%5C%5C%20A%20%3D%2012000%281%20%2B%200.05%29%5E%7B3%7D%20%20%5C%5C%20A%20%3D%2012000%20%28%7B1.05%7D%29%5E%7B3%7D%20)
We have the answer as
<h3>Amount = Rs 13891.50</h3>
Compound interest = 13891.50 - 12000
<h3>Compound interest = Rs 1891.50</h3>
Hope this helps you
Answer: Yes it is a function
Step-by-step explanation:
Answer:
The correct answer is a) 0 and 1.
Step-by-step explanation:
By converting the fractions into decimals, we can see that -1/4 is equivalent to -0.25 and 3/2 equals 1.5. Therefore, anything with a value outside of -0.25 < x < 1 should be marked out. So, anything containing anything less than -0.25 cannot be considered (i.e., -1) and anything above one cannot be considered (i.e., 2). Therefore, the only option left is a) 0 and 1.
If a rational function is not continuous, it'll be due to one of two reasons. Either it has a hole, or it has an asymptote. Plug in -5 for x in the denominator of the rational function. What do you get? You get zero in the denominator, meaning the function is undefined at x=-5.