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Savatey [412]
3 years ago
9

If an item is 4.75 before tax and after is 5.13 how much is the sales tax rate?

Mathematics
2 answers:
Anestetic [448]3 years ago
5 0

Answer:

8%

Step-by-step explanation:

Let's say the tax percent was x%. Then, we can write the equation:

4.75 + x% * 4.75 = 5.13

Notice that both terms on the left have 4.75 so factor that out:

4.75 * (1 + x%) = 5.13

Divide both sides by 4.75:

1 + x% = 5.13/4.75 = 1.08

Subtract 1 from both sides:

x% = 0.08

Remember that % simply means "out of 100", so x% = x/100:

x/100 = 0.08

Multiply both sides by 100:

x = 8

Thus, the tax rate is 8%.

Hope this helps!

erica [24]3 years ago
4 0

Answer:

8%

Step-by-step explanation:

total price/item price = sales tax

5.13/4.75 = 1.08 = 8%

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Answer: 64in2

Explain:

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8 0
3 years ago
Find the general solution of y''' + 6y'' + y' − 34y = 0 if it is known that y1 = e−4x cos(x) is one solution.
SashulF [63]

Answer:

Step-by-step explanation:

Given is a differential equation of III order,

y''' + 6y'' + y' - 34y = 0

The characteristic equation would be cubic as

m^3+6m^2+m-34=0

By trial and error, we find that

f(2) = 2^3+6(2^2)+2-34 =0\\

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Hence general solution would be

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3 0
3 years ago
The director of student health decides to test every student on campus for tuberculosis. If there are 3000 students out of which
harina [27]

Answer: the probability that a person who tested positive actually has TB is 0.64

Step-by-step explanation:

lets say

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- : test result is -ve

so given that

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P(-ITc) = 0.15

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P(Tc) = 1 - P(T) = 1 - 1/60 = 59/60

Now required probability

= P(TI+)

P(T∩+) / P(+)

=  P(T) × P(+IT) / [[P(T) × P(+IT)] + [(P(Tc) × P(+ITc)]

=  P(T) × {1-P(-IT)] / [[P(T) × [1-P(-IT)] + [(P(Tc) × P(+ITc)]

WE SUBSTITUTE

=  { 1/60 × (1-0.15) } /  [1/60 × (1 - 0.15)] + [(59/60) × 0.008]

= (0.0167 × 0.85) /  [(0.0167 × 0.85) + (0.9833 × 0.008)]

= 0.01417 / 0.02206

= 0.6423 ≈ 0.64

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3 0
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