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levacccp [35]
3 years ago
8

What is the rate of decay for the function f(x) =2(0.95)^x ( x is on top of the parentheses)

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
7 0

Answer:

The decay rate is 5%.

Step-by-step explanation:

Let a substance is decaying at the rate of r% per hour from the initial value of P for t hours, then the final value of the substance is given by the function  

f(t) = P(1 - \frac{r}{100})^{t} ........... (1)

Comparing this equation with the original equation given as

f(x) = 2(0.95)^{x} ............ (2) we get,

(1 - \frac{r}{100}) = 0.95

⇒ \frac{r}{100} = 0.05

⇒ r = 5%.

Therefore, the decay rate is 5%. (Answer)

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2 years ago
Q is the midpoint of line segment PR. PR=9x-31 and QR=43 ; find x
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notice that, if Q is the midpoint of PR, that simply means that PQ = QR = 43.


\bf \boxed{P}\underset{\leftarrow 9x-31 \to }{\stackrel{\stackrel{\downarrow }{43}}{\rule[0.35em]{10em}{0.25pt}}Q\stackrel{43}{\rule[0.35em]{10em}{0.25pt}}}\boxed{R}
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5 0
3 years ago
Find the image of P(–2, –1) after two reflections; first Ry=−5(P), and then Rx=1(P1).
alexdok [17]
Answer: third choice (4 - 9).

Explanation:

1) The first reflection, Ry = - 5, means a reflection is across the line y = - 5

2) Since the point P has y-coordinate  - 1, its discance to the line y = - 5 is 4 units (P is located 4 units upper the line y = - 5).

Then, the reflection of the y-coordinate will be 4 units below the line y = - 5, which is -5 - 4 = - 9,

Therefore, the y-coordinate of the image is - 9.

3) The second reflection, Rx = 1, means a reflection across the line x = 1.

4) Since the point P has x-coordinate - 2, its distance to the line x = 1 is 3 units (P is located 3 units to the left of the line x = 1).

Then, the reflection of P will be 3 units to the right of the line x = 1.

That is 1 + 3 = 4.

Therefore, the x-coordinate of the image is 4.

5) You have obtained the x and y - coordinates of the image, x = 4 and y = -9, that is (4, - 9) which is the third choice.
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3 years ago
12.A T.V. is sold for Rs. 17,280 at a profit of 20%. Find the cost price of the T.V.
GaryK [48]

Answer:

Rs. 13,824

Step-by-step explanation:

20% of Rs. 17,280

= Rs.3456

Rs.17,280- Rs.3456

=Rs.13,824

7 0
3 years ago
Read 2 more answers
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