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KengaRu [80]
3 years ago
10

scarlet is buying a watch that costs $49. if sales tax is 6%, how much will be added to the cost of the watch

Mathematics
1 answer:
pychu [463]3 years ago
8 0

Answer:

2.94

Step-by-step explanation:

the total will be 51.49

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If f(x)=3x+2and g(x)=x^2-9 find (f-g)(x)
mel-nik [20]

Step-by-step explanation:

If f(x)=3x+2and g(x)=x^2-9

find (f-g)(x)

f(x)- g(x) = [3x + 2] - [x^2 - 9]

= -x^2 + 3x + 11

5 0
3 years ago
What is the area of a circle whose radius is 10 m
kramer

Answer:

A≈314.16m²

I hope that this works for you!

7 0
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When 31 times a number is increased by 40 the answer is the same as two 200 is decreased by the number
storchak [24]
x-\ number\\\\
31x+40=200-x\ \ \ | add\ x\\\\
32x+40=200\ \ \ | subtract\ 40\\\\
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4 0
3 years ago
Consider the following series. 1 9 1 18 1 27 1 36 1 45 Determine whether the series is convergent or divergent. Justify your ans
Vedmedyk [2.9K]

Answer:

<em>Diverges; the limit of the terms, an, is not 0 as n goes to infinity</em>

Step-by-step explanation:

<u>Convergence of Infinite Series</u>

The series is given as the terms

1 , 9 , 1 , 18 , 27 , 1 , 36 , 1 , 45 ...

For a series to be convergent, the limit of the general term an when n goes to infinity must be 0. In such cases, the sum of all terms tends to a fixed value.

Our series has two clearly different sequences, which define it as a piecewise general term:

If n is odd, then

a_n=1

Otherwise, an is an arithmetic series starting from 9 with a common difference of 9, that is

a_n=9+9(n/2-1)=4.5n

if n is even.

If we take the limit as n goes to infinity, we don't know which one should be selected, thus we must assume that any of them is a correct option, therefore both of them should converge.

The limit of the function

a_n=1

is 1 when n goes to infinity. Since it's not 0, this piece is not convergent and the entire series isn't either.

But it goes worse because of the limit of the second piece

a_n=4.5n

when n goes to infinity is infinite.

The answer is

<em>Diverges; the limit of the terms, an, is not 0 as n goes to infinity</em>

8 0
3 years ago
Jacob wanted to know what the most popular sneakers brand was for his classmates. His class had 30students. To save time he aske
Galina-37 [17]
No. This is not random sampling as the students chose are not chosen at random. Random sampling would be something done where each sample has equal probability of being chosen. Clearly this is not random sampling.
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3 years ago
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