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Inessa05 [86]
3 years ago
8

An item is priced at $14.55. If the sales tax is 6%, what does the item cost including sales tax?

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
4 0

Answer:

$15.43

Step-by-step explanation:

$14.55 x 1.06 = $15.423

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Complete the square x^2+18x+_
kipiarov [429]

Answer:

x^2 + 18x + 81 complete's the square.

Step-by-step explanation:

y = [x^2 + 18x + (18/2)^2 ] - (18/2)^2

y = [x^2 + 18x + 81] - 81

y = (x + 9)^2 - 81 This is just to make the completion of the square accurate.

You can't just add something to an expression. You have to balance it out.


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13

Step-by-step explanation:

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If my cousin gave me $16 ( my real cousins never did T_T) and I am left with $8 while buying a present. The present cost $8...

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2 years ago
If f(x)f(x) is an exponential function where f(-0.5)=27f(−0.5)=27 and f(1.5)=21f(1.5)=21, then find the value of f(0.5)f(0.5), t
vovikov84 [41]

Given:

f(x) is an exponential function.

f(-0.5)=27

f(1.5)=21

To find:

The value of f(0.5), to the nearest hundredth.

Solution:

The general exponential function is

f(x)=ab^x

For, x=-0.5,

f(-0.5)=ab^{-0.5}

27=ab^{-0.5}          ...(i)

For, x=1.5,

f(1.5)=ab^{1.5}

21=ab^{1.5}          ...(ii)

Divide (ii) by (i).

\dfrac{21}{27}=\dfrac{ab^{1.5}}{ab^{-0.5}}

\dfrac{7}{9}=b^2

Taking square root on both sides, we get

\dfrac{\sqrt{7}}{3}=b

b\approx 0.882

Putting b=0.882 in (i), we get

27=a(0.882)^{-0.5}

27=a(1.0648)

\dfrac{27}{1.0648}=a

a\approx 25.357

Now, the required function is

f(x)=25.357(0.882)^x

Putting x=0.5, we get

f(0.5)=25.357(0.882)^{0.5}

f(0.5)=23.81399

f(0.5)\approx 23.81

Therefore, the value of f(0.5) is 23.81.

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3 years ago
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klio [65]

Answer:

7 1/2

Step-by-step explanation:

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