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3 years ago

Find the final price of a $149.99 smart watch with 8.5 sales tax

Mathematics

1 answer:

Talja [164]3 years ago

6 0

Answer:

167.64

Step-by-step explanation:

To evaluate the tax add on, divide 149.99 by 8.5 which divided and rounded is 17.65
add 17.65 and 149.99

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For the equation ae^ct=d, solve for the variable t in terms of a,c, and d. Express your answer in terms of the natural logarithm

saveliy_v [14]

We have been given an equation $ae^{ct}=d$ . We are asked to solve the equation for t.

First of all, we will divide both sides of equation by a.

$\frac{ae^{ct}}{a}=\frac{d}{a}$

$e^{ct}=\frac{d}{a}$

Now we will take natural log on both sides.

$\text{ln}(e^{ct})=\text{ln}(\frac{d}{a})$

Using natural log property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$ct\cdot \text{ln}(e)=\text{ln}(\frac{d}{a})$

We know that $\text{ln}(e)=1$ , so we will get:

$ct\cdot 1=\text{ln}(\frac{d}{a})$

$ct=\text{ln}(\frac{d}{a})$

Now we will divide both sides by c as:

$\frac{ct}{c}=\frac{\text{ln}(\frac{d}{a})}{c}$

$t=\frac{\text{ln}(\frac{d}{a})}{c}$

Therefore, our solution would be $t=\frac{\text{ln}(\frac{d}{a})}{c}$ .

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3 years ago

Factorize 12x² + 15xy

kolezko [41]

Answer:

3x(4x+5y)

Step-by-step explanation:

and yh.........

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3 years ago

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Plz help!<br> Which table shows a linear function?

Nikitich [7]

The second table. A linear function is a function where adding the same amount to x should add the same amount to y.

In table 2, you can see that adding 1 to x adds 2 to y. All the other tables describe non-linear functions.

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3 years ago

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Convert 3/5 to a decimal using long division

NISA [10]

Step-by-step explanation:

5✓3

0.6

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3 years ago

The point given is on the terminal side of an angle theta. Find the exact values of the six trig functions of theta.. (-3,2)

Dima020 [189]

We can use SOH, CAH and TOA, but first we must find the length of a hypotenuse:
h = $\sqrt{(-3) ^{2}+2^{2} } = \sqrt{9+4}= \sqrt{13}$
sin (theta)= 2/√13
cos ( theta) = -3/√13
tan (theta) = -2/3
cot (theta ) = -3/2
sec (theta) = 1/cos(theta ) = -√13/3
csc(theta ) = 1/ sin (theta) = √13/2

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3 years ago