Translate this phrase into an algebraic expression.

expeople1 [14]

Answer:

D. $16.42

Step-by-step explanation:

In order to find the sales tax of a product, you need to multiply the product's price by the sales tax in decimal form.

To find the decimal form of a percentage, you simply move the decimal paint two spaces to the left. So, 8.25% in decimal form is 0.0825.

199.99 * 0.0825 = 16.499175

This number is closest to $16.42, so D is the correct answer.

4 0

2 years ago

Evaluate the integral. (sec2(t) i t(t2 1)8 j t7 ln(t) k) dt

polet [3.4K]

If you're just integrating a vector-valued function, you just integrate each component:

$\displaystyle\int(\sec^2t\,\hat\imath+t(t^2-1)^8\,\hat\jmath+t^7\ln t\,\hat k)\,\mathrm dt$

$=\displaystyle\left(\int\sec^2t\,\mathrm dt\right)\hat\imath+\left(\int t(t^2-1)^8\,\mathrm dt\right)\hat\jmath+\left(\int t^7\ln t\,\mathrm dt\right)\hat k$

The first integral is trivial since $(\tan t)'=\sec^2t$ .

The second can be done by substituting $u=t^2-1$ :

$u=t^2-1\implies\mathrm du=2t\,\mathrm dt\implies\displaystyle\frac12\int u^8\,\mathrm du=\frac1{18}(t^2-1)^9+C$

The third can be found by integrating by parts:

$u=\ln t\implies\mathrm du=\dfrac{\mathrm dt}t$

$\mathrm dv=t^7\,\mathrm dt\implies v=\dfrac18t^8$

$\displaystyle\int t^7\ln t\,\mathrm dt=\frac18t^8\ln t-\frac18\int t^7\,\mathrm dt=\frac18t^8\ln t-\frac1{64}t^8+C$

8 0

3 years ago

How do I graph this. I need to find the solution

Sergio039 [100]

To graph y=-7x-3, you're going to make your first coordinate at (-3,0) b/c that is your y-intercept and you will continuously move down 7 and right one.

To graph y=4, you will simply make a horizontal line through the to coordinate (4,0).

Hope that helped.

4 0

3 years ago

Whats -4 1/5 times 1/3 ?

tamaranim1 [39]

Answer: -7/5

Step-by-step explanation:

-4(1/5)⋅(1/3)

Convert -4(1/5) to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

− (4 +1/5) ⋅(1/3)

Add 4 and 1/5

-21/5 ⋅ 1/3

Cancel the common factor of 3.

Move the leading negative in − 21 /5 into the numerator.

−21/5 ⋅ 1/3

Factor 3 out of −21.

3 (−7)/5 ⋅ 3 /1

Cancel the common factor.

Rewrite the expression.

−7 /5

5 0

3 years ago

Read 2 more answers

Find the height of a square pyramid that has a volume of 75 cubic feet and a base length of 5 feet.

kodGreya [7K]

Volume of the pyramid = (1/3) x Area of the base x Height ---------- (1)

As the base length = 5 feet

So Area of the base = 5 x 5 = 25 square feet

While volume of the pyramid = 75 cubic feet

Putting values in equation (1);

75 = (1/3) x 25 x Height

Height = (75 x 3) / 25

Height = 9feet

<span>So 2nd option is correct.</span>

4 0

3 years ago