The subtotal of your computer purchase was $398.50. If the sales tax rate is 7.25%, how much will you pay in tax for the computer? *

We will conclude that:

Let's study the two functions.

The exponential function is given by:

f(x) = A*e^x

You can input any value of x in that function, so the domain is the set of all real numbers. And the value of x can't change the sign of the function, so, for example, if A is positive, the range will be:

y > 0.

For the logarithmic function we have:

g(x) = A*ln(x).

As you may know, only positive values can be used as arguments for the logarithmic function, while we know that:

[tex]\lim_{x \to \infty} ln(x) = \infty \\\\ \lim_{x \to0} ln(x) = -\infty[/tex]

So the range of the logarithmic function is the set of all real numbers.

If you want to learn more about domains and ranges, you can read:

https://brainly.com/question/10197594

Answer:

34% more A+ donations because it is the most common type of blood type more than ab

Answer:

4985.5

Step-by-step explanation:

To start, lets show what we know

160x = 584        where x is the amount paid per stock investment

Find: 270x

Now lets find x

160x = 584

160x/160 = 574/160

x = 3.65

270x = 270(3.65) = 985.5

Here, we have our answer of $985.5 for 270 shares of stock.

Feel free to ask me any questions you may have in the comments section! :D

Answer:

25/9 or 2 7/9

Step-by-step explanation:

5-2 2/9

5-20/9

45/9-20/9

25/9

2 7/9

Answer:

25/9 or.. 2 7/9

Step-by-step explanation:

hope this helped!!<3

3²+2 = 11

hope it helps

Answer:

11

Step-by-step explanation:

3 squared is 9

squared just means multiplied by itself

which would be 3×3

and then add 2

which is 11

[tex]\tt (\dfrac{x}{x+1}.\dfrac{1+x}{2x-1})+\dfrac{1+x}{2x-1}\\\\\dfrac{x}{2x-1}+\dfrac{1+x}{2x-1}=\dfrac{2x+1}{2x-1}[/tex]

Answer:

HOPE IT'S HELP

Step-by-step explanation:

ILY

Follow me plsss

thank you

Answer:

x = 20

Step-by-step explanation:

The two angles inside the triangle added together equals the one other angle that's outside the triangle. Its called an exterior angle.

42° + 5x + 4 = 7x + 6

combine like terms

5x + 46 = 7x + 6

subtract 5x

46 = 2x + 6

subtract 6

40 = 2x

divide by 2

20 = x

Answer:

no, all of the parts aren't even.

Step-by-step explanation:

the parts must be even to make a fraction so it could also be said as out of 8 equal  parts, 3 are shaded but the parts arent equal so you can't.

Hope this helps! :)

Answer: 67.94 cm^2

Step-by-step explanation:

The volume of a cylinder equals the base area multiplied by the height.

Therefore, the volume would be equal to 21.23cm*3.2cm = 67.936 cm^2

Rounded to the nearest hunderedth, the volume would be 67.94 cm^2

Answer:

C

Step-by-step explanation:

12^2+5^2=c^2

144+25=c^2

169=c^2

Square root 169 and you get 13

The number of different sets of coins that she can have is; Two sets which are;  (0, 7, 4, 2) or (1, 3, 7, 2)

Let the numbers of coins be;

We have:

Q + D + N + P = 13

We know that;

25 quarters make 1 cent

10 dimes makes one cent

5 nickels make one cent

1 penny makes one cent

Thus;

25Q + 10D + 5N + P = 92

P will have to be 2 because the others will give a value with the unit digit as 0. Thus;

Q + D + N = 11  ----(1)

25Q + 10D + 5N + 2 = 92

25Q + 10D + 5N = 90

Divide through by 5 to get;

5Q + 2D + N = 18      (2)

Subtract eq (1) from eq (2) to get;

4Q + D = 7

Let us put D = 7 and Q = 0, and so from eq (1), N = 4

The set here is now; (Q, D, N, P) = (0, 7, 4, 2)

Let us put D = 3, Q = 1, and from eq (1), N = 7

The set here is now; (Q, D, N, P) = (1, 3, 7, 2)

If D = 6, 5, 4, 2, 1, 0, then Q is not an integer, these can be ignored.

Read more about combination of coins at; https://brainly.com/question/6810598

Answer:

The answer is C

Step-by-step explanation:

Its correct

The answer is Cl = (21.20%, 28.80%)

The correct answer is option C.

Problem-solving is the act of defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.

Problem-solving starts with identifying the issue. As an example, a trainer may need to parent out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.

Learn more about Problem-solving here: brainly.com/question/13818690

#SPJ2

Answer: Choose the equation of the vertical line passing through the point (-2, 3). A vertical line goes up and down through point (-2, 3), so every point on the line will have the same x coordinate. For example, (-2, 0) and (-2, 1) and (-2, -1) all fall on that vertical line. Therefore, the equation for the line is x = -2 Choose the equation of the horizontal line that passes through the point (-5, 1). A horizontal line goes left and right through point (-5, 1), so every point on the line will have the same y coordinate. For example, (-1, 1) and (0, 1) and (1, 1) all fall on that horizontal line. Therefore, the equation for the line is y = 1.

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

The coordinate point is in the format (x, y)

Therefore, the x-value of (3, -10) is 3

So the equation of the vertical line is therefore x = 3

As far as I understand A)

Answer:

Your answer is B

Step-by-step explanation:

24/3 = 8

20/4 = 5

8-5 = 3

So, its 24 miles in 3 hours

Answer:

AB would equal 15

Step-by-step explanation:

since 22 is 7 away from 29, you just have to subtract 7 from 22. since MD and AM are equal, so is the distance in-between

Answer:

13/16

Step-by-step explanation:

A sample space is a collection or a set of possible outcomes of a random experiment.

I have created the sample space for these data and attached it.  As you can see there are 16 possible outcomes.

To find the probability that the total showing is greater than 3, simply identify the number of values in the sample space that are greater than 3.

(I have highlighted these in yellow).

Therefore, P(X>3) = 13/16

Answer:

See Picture. I made a 100.

Step-by-step explanation:

Weekly- $17253.46

Daily- $17254.01

Continuously- $17254.11

Monthly- $17251.29

Semi-annually- $17237.36

Quarterly- $17245.69

Compound interest is the addition of interest on the interest of the principal amount.

Compound interest is the addition of interest on the interest of the principal amount. It is given by the formula,

[tex]A = P(1+ \dfrac{r}{n})^{nt}[/tex]

As it is given that the principal amount is $15,000; while the rate of interest is 2.8%, and the amount is invested for a period of 5 years.

A.) When the interest is charged weekly,

As we know that there are 52 weeks in a year, therefore, n = 52, substitute the values,

[tex]A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{52})^{52 \times 5}\\\\A = \$17,253.46[/tex]

B.) When the interest is charged daily,

As we know that there are 365 days in a year, therefore, n = 365, substitute the values,

[tex]A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{365})^{365 \times 5}\\\\A = \$19,554.55[/tex]

C.) When the interest is charged Continuously,

As we know that the formula for continuous compounding is given as,

[tex]A = Pe^{rt}[/tex]

Substitute the values, we will get,

[tex]A = 15000 \times (e^{0.024 \times 5})\\\\A= \$16,912.45[/tex]

D.) When the interest is charged Monthly,

As we know that there are 12 months in a year, therefore, n = 12, substitute the values,

[tex]A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{12})^{12\times 5}\\\\A = \$15211.23[/tex]

E.) When the interest is charged Semi-annually,

As we know that the interest is charged Semi-annually, therefore, n = 2, substitute the values,

[tex]A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{2})^{2\times 5}\\\\A = \$17,237.36[/tex]

F.) When the interest is charged Quarterly,

As we know that the interest is charged Quarterly, therefore, n = 4, substitute the values,

[tex]A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{4})^{4\times 5}\\\\A = \$17,245.7[/tex]

Learn more about Compound Interest:

https://brainly.com/question/25857212

Answer:

3 students

Step-by-step explanation:

now for RSM Olympiad are 8

math kangaroo are 7

studs that did both are 4

Total number of studs that participated are

(8-4) + 4 + (7-4)

4+ 4 + 3 = 11

those who didn't participate are

14-11 = 13

Answer:24

Step-by-step exfind out what 2 times blank eguals 48

Answer:

83/85

Step-by-step explanation:

85 is being multiplied by something to get to 83

85x = 83

x = 83/85

You cannot simplify this any further because it has no common factors.

-Chetan K

C. 10 years

Here given the average/mean the gaming system can last is 10 years.

Answer:

10yrs

Step-by-step explanation:

And average usually denotes to mean.

So mean is 10years

Hii!

We need to multiply so

3×2.75= 8.25

So she paid $8.25

Brainliest!=

let's put h(x) in vertex form, and then let's see if we can get f(x) from there.

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{vertex}{\stackrel{h}{0}~~,~~\stackrel{k}{-3}}\qquad h(x)=a(x-0)^2-3 \\\\[-0.35em] ~\dotfill[/tex]

[tex]h(x+2)=a[(x+2)-0]^2-3\implies h(x+2)=\underline{a(x+2)^2-3} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{llll} \underline{h(x+2)}-5\implies [a(x+2)^2-3]~~ - ~~5\implies &\boxed{a(x+2)^2-8=f(x)} \\\\ &a[x-\stackrel{h}{(-2)}]^2\stackrel{k}{-8}=f(x)\\\\ &\stackrel{vertex}{-2~~,~~-8} \end{array}[/tex]

Step-by-step explanation:

a parallel line has the same slope (inclination).

the slope is always the factor of x in the line equation, which is 1/2.

the standard form of a line is

y = ax + b

we know a = 1/2.

to get b we use the given point :

-5 = 1/2 × -6 + b

-5 = -3 + b

b = -2

so our line equation is

y = (1/2)x - 2

but if your teacher understands "standard form" as "point-slope" form (I don't, but others do), then we need to use

y - y1 = a(x - x1)

where (x1, y1) is a point on the line.

and that form would then be in our case

y - -5 = (1/2)(x - -6)

y + 5 = (1/2)(x + 6)

Answer:

2(4 + 3i) / 5

Step-by-step explanation:

(6 + 2i) (3 + i) / (3 - i) (3 + i)

=> 18 + 12i + 2i² / 9 - i²

=> 16 + 12i / 10

=> 8 + 6i / 5

=> 2(4 + 3i) / 5

Answer:

(6 +2i) / (3-i) = (6+2i)/(3-i) x (3+i)/(3+i) = (6+2i)(3+i) / (3-i)(3+i) = 6(3+i)+2i(3+i) / (3)^2-(i)^2 = 18+6i+6i+2i^2 / 9-i^2 = 18+12i+2i^2 / 9-i^2 = 6+12i+2i^2 / 3-i^2 = 2+12i+2i^2 / 1-i^2 = 2+12i+2 / 1 = 4+12ianswer.

Hello!

10 km in 2.5h.

2,5h = 150mn

150mn -> 10km

1 mn -> 10/150

60mn -> (10*60)/150

=>4km/h

Jason ran 7.5 km in 2h.

7,5 /2 =3,75

=> 3,75km/h

Olga ran 9.5 km in 2.25h.

2,25h = 120 + 0,25 * 60 =>135mn

135mn -> 9,5km

1mn -> 9,5/ 135

60mn -> (9,5*60)/ 135 =>4,22km/h

Who had the fastest average speed.: Olga

Answer:

3x^3 + 12x^2 +11x +2

Step-by-step explanation:

this is also a cube root expanded If that helps

Answer:

Acute

Step-by-step explanation:

It will always be an acute triangle.