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2 years ago

The sales-tax rate was 8%.Benito bought a model train for $8.29. How much was the tax on the train?

Mathematics

1 answer:

astraxan [27]2 years ago

6 0

T= 8/100 × $8.29

t= $66.32/100

t= $0.66 rounded to the nearest penny

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How do you tell Side-side-side, Side-Angle-Side, Angle-Angle-Side apart?

Rainbow [258]

They all have abbreviations: Side-Side-Side (SSS), Side-Angle-Side (SAS) and Angle-Angle-Side (AAS).

7 0

3 years ago

Please help, I'm stuck on this question

vesna_86 [32]

Answer: Option C

$a> 0$

Step-by-step explanation:

The graph shows a radical function of the form $f(x)=a(x+k)^{\frac{1}{n}}+c$

Where n is a positive number.

For this type of function, if the coefficient $a> 0$ then then when x tends to $\infty$ f(x) tends to $\infty$ and when x tends to $-\infty$ then f(x) tends to $-\infty$ .

Notice in the graph that as x increases then f(x) also increases and as x decreases f(x) also decreases.

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3 years ago

12% of what number is 42?

Andreyy89

Answer:

350

Step-by-step explanation:

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3 years ago

A water tank in the shape of an inverted circular cone has a base radius of 3 m and height of 7 m . If water is being pumped int

Wittaler [7]

The water level increases by 0.608 meters per minute when the water is 3.5 m deep

<h3>How to determine the rate?</h3>

The given parameters are:

Radius, r = 3
Height, h = 7
Rate in, V' = 4.3m^3/min

The relationship between the radius and height is:

r/h = 3/7

Make r the subject

r = 3h/7

The volume of a cone is;

$V = \frac 13\pi r^2h$

This gives

$V = \frac 13\pi (\frac{3h}{7})^2h$

Expand

$V = \frac{3h^3}{49}\pi$

Differentiate

$V' = \frac{9h^2}{49}\pi h'$

Make h' the subject

$h' = \frac{49}{9\pi h^2}V'$

When the water level is 3.5.

We have:

$h' = \frac{49}{9\pi * 3.5^2}V'$

Also, we have:

V' = 4.3

So, the equation becomes

$h' = \frac{49}{9\pi * 3.5^2} * 4.3$

Evaluate the products

$h' = \frac{210.7}{346.36}$

Evaluate the quotient

h' = 0.608

Hence, the water level increases by 0.608 meters per minute