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Liono4ka [1.6K]
3 years ago
7

Monica paid sales tax of $1.50 when she bought a new bike helmet. The sales tax rate was 5%, how much did the store charge?

Mathematics
2 answers:
dmitriy555 [2]3 years ago
8 0

Answer:

$30

Step-by-step explanation:

$30x0.05=$1.50

grin007 [14]3 years ago
7 0

Answer

1.50 cents for 5% sales tax on 30 dollars

Step-by-step explanation:

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A gas can is filled at the rate of 320 cubic inches per minute. The can is 10 inches long, 8 inches wide, and 12 inches high. Ho
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Solution:

The gas can is filled at the rate of 320 cubic inches per minute.

The can is 10 inches long, 8 inches wide, and 12 inches high.

So volume of the can=10 in*8 in *12 in

\text{Volume of can }=960  \ in^3\\

Time required to fill the can=\frac{960}{320}=3  \ minutes\\

Hence Time required to fill the can =3 minutes.

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Step-by-step explanation:

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3 years ago
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Given g(x)=-2x-1g(x)=−2x−1, find g(-4)g(−4)
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4 0
3 years ago
Find the nth taylor polynomial for the function, centered at c. f(x) = ln(x), n = 4, c = 5
masha68 [24]

The nth taylor polynomial for the given function is

P₄(x) = ln5 + 1/5 (x-5) - 1/25*2! (x-5)² + 2/125*3! (x-5)³ - 6/625*4! (x - 5)⁴

Given:

f(x) = ln(x)

n = 4

c = 3

nth Taylor polynomial for the function, centered at c

The Taylor series for f(x) = ln x centered at 5 is:

P_{n}(x)=f(c)+\frac{f^{'} (c)}{1!}(x-c)+  \frac{f^{''} (c)}{2!}(x-c)^{2} +\frac{f^{'''} (c)}{3!}(x-c)^{3}+.....+\frac{f^{n} (c)}{n!}(x-c)^{n}

Since, c = 5 so,

P_{4}(x)=f(5)+\frac{f^{'} (5)}{1!}(x-5)+  \frac{f^{''} (5)}{2!}(x-5)^{2} +\frac{f^{'''} (5)}{3!}(x-5)^{3}+.....+\frac{f^{n} (5)}{n!}(x-5)^{n}

Now

f(5) = ln 5

f'(x) = 1/x ⇒ f'(5) = 1/5

f''(x) = -1/x² ⇒ f''(5) = -1/5² = -1/25

f'''(x) = 2/x³  ⇒ f'''(5) = 2/5³ = 2/125

f''''(x) = -6/x⁴ ⇒ f (5) = -6/5⁴ = -6/625

So Taylor polynomial for n = 4 is:

P₄(x) = ln5 + 1/5 (x-5) - 1/25*2! (x-5)² + 2/125*3! (x-5)³ - 6/625*4! (x - 5)⁴

Hence,

The nth taylor polynomial for the given function is

P₄(x) = ln5 + 1/5 (x-5) - 1/25*2! (x-5)² + 2/125*3! (x-5)³ - 6/625*4! (x - 5)⁴

Find out more information about nth taylor polynomial here

brainly.com/question/28196765

#SPJ4

3 0
2 years ago
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