All categories

3 years ago

Brandon buys a radio for $45.85 In a state where the sales tax is 7%.

Mathematics

2 answers:

Andreyy893 years ago

8 0

Answer:

Step-by-step explanation:

45.85*7%= 3.21 tax

45.85+3.21=49.06 total

rosijanka [135]3 years ago

7 0

$45.85 + 7% = $49.06
One state that has a 7% sales tax is Texas.

You might be interested in

Find the center of mass of the wire that lies along the curve r and has density =4(1 sin4tcos4t)

dolphi86 [110]

The mass of the wire is found to be 40π√2 units.

To calculate the mass of the wire which runs along the curve r ( t ) with the density function δ=5.

The general formula is,

Mass = $\int_a^b \delta\left|r^{\prime}(t)\right| d t$

To find, we must differentiate this same given curve r ( t ) with respect to t to estimate |r'(t)|.

The given integration limits in this case are a = 0, b = 2π.

Now, as per the question;

The equation of the curve is given as;

r(t) = (4cost)i + (4sint)j + 4tk

Now, differentiate this same given curve r ( t ) with respect to t.

$\begin{aligned}\left|r^{\prime}(t)\right| &=\sqrt{(-4 \sin t)^2+(4 \cos t)^2+4^2} \\&=\sqrt{16 \sin ^2 t+16 \cos ^2 t+16} \\&=\sqrt{16\left(\sin t^2+\cos ^2 t\right)+16}\end{aligned}$

Further simplifying;

$\begin{aligned}&=\sqrt{16(1)+16} \\&=\sqrt{16+16} \\&=\sqrt{32} \\\left|r^{\prime}(t)\right| &=4 \sqrt{2}\end{aligned}$

Now, use integration to find the mass of the wire;

$\begin{aligned}&=\int_a^b \delta\left|r^{\prime}(t)\right| d t \\&=\int_0^{2 \pi} 54 \sqrt{2} d t \\&=20 \sqrt{2} \int_0^{2 \pi} d t \\&=20 \sqrt{2}[t]_0^{2 \pi} \\&=20 \sqrt{2}[2 \pi-0] \\&=40 \pi \sqrt{2}\end{aligned}$

Therefore, the mass of the wire is estimated as 40π√2 units.

To know more about density function, here

brainly.com/question/27846146

#SPJ4

The complete question is-

Find the mass of the wire that lies along the curve r and has density δ.

r(t) = (4cost)i + (4sint)j + 4tk, 0≤t≤2π; δ=5

5 0

1 year ago

Given the equation f(x) = (x + 3)2 – 8, fill in the blanks: Axis of symmetry: x = _______a0 Vertex: ( _______a1, _______a2) Numb

frutty [35]

We have been given an equation $f(x)=(x+3)^2-8$ . We are asked to fill in the blanks using our given equation.

The axis of symmetry will be the vertical line passing through vertex.

First of all, we will convert our given equation in standard vertex form of parabola as:

Standard vertex form of parabola: $y=(x-h)^2+k$ , where (h,k) is vertex of parabola.

$f(x)=(x-(-3))^2-8$

Upon comparing our function with standard vertex form, we can see that vertex of parabola is at $(-3,-8)$ .

The axis of symmetry will be vertical line passing through point $(-3,-8)$ . The vertical line will pass through $x=-3$ , therefore, the axis of symmetry is $x=-3$ .

Since our given parabola is an upward opening parabola, so it has a minimum at $(-3,-8)$ . This means that parabola will intersect the x-axis at two points. Therefore, there are two real solutions for the given function.

8 0

3 years ago

Microsoft wanted to increase the average length of time consumers spend playing their games during a gaming session. They found

Alecsey [184]

Answer:

The answer is "Yes".

Step-by-step explanation:

In this question, the answer is "yes" because as the sample group of 50, it is now under the population size of 10 percent, and Often the random sample is less than 30. It doesn't require the standard deviation, and for each of the samples it was selected randomly, therefore randomization becomes achieved.

5 0

3 years ago

a fishbowl shaped like a sphere is filled with water. The fishbowl has a diameter of 16 inches. Which measurement is closest to

gregori [183]

Answer:

The volume of the water in the fishbowl is equal to

$(682\frac{2}{3})\pi\ in^{3}$ or $2,144.6\ in^{3}$