The graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y.


What is the slope of the line?

- 1 / 4

- 8 / 17

- 4

- 6

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Work Shown:

P = 1000 is the amount deposited

We want this value to double to A = 2000 which is the amount in the account at time t (in years).

r = 0.03 represents the interest rate in decimal form.

The value of t is unknown but we can solve for it like so

[tex]A = Pe^{rt}\\\\2000 = 1000e^{0.03t}\\\\2 = e^{0.03t}\\\\\ln(2) = \ln\left(e^{0.03t}\right)\\\\\ln(2) = 0.03t\ln\left(e\right)\\\\\ln(2) = 0.03t*1\\\\\ln(2) = 0.03t\\\\[/tex]

[tex]0.03t = \ln(2)\\\\t = \frac{\ln(2)}{0.03}\\\\t \approx 23.1049060186649\\\\t \approx 23\\\\[/tex]

It will take about 23 years for the amount to double.

As a check,

[tex]A = 1000e^{0.03t}\\\\A \approx 1000e^{0.03*23.104906}\\\\A \approx 1,999.9999988806\\\\A \approx 2000\\\\[/tex]

which helps show that after roughly 23 years, we'll have about 2000 dollars in the account.

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Side note: Use of the rule of 72 leads to 72/3 = 24. The '3' is from the 3% interest rate. So the rule of 72 says it will take about 24 years for the amount to double. This isn't too far off from the 23 answer we got.

Answer:

the slope is 1/2 :)

Step-by-step explanation:

Answer:

1/3 or 1/-2

Step-by-step explanation:

Answer:

12,16,20

Step-by-step explanation:

First list the multiples of 4

4,8,12,16,20,24,28

We want the ones that are greater than 10

12,16,20

Answer:

B (2,0)

Step-by-step explanation:

The solution of the system is (2, 0).

Simultaneous equations are any one or more equations that can have the same number of unknowns and be solved concurrently. The system of equations is the simultaneous equation.

Given information:

The system of equations,

y = -2x + 4

y = x- 2.

To find the solution to the system of equations, find the intersection points of the equations.

As per the graph given in the attachment below.

So, the intersection point is (2, 0).

Therefore, the point is (2, 0).

To learn more about the system of equations;

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Answer:

[tex] \frac{63}{65} [/tex]

Step-by-step explanation:

We have to find the value of sinB & cosA . So to find the value of sinB , let's use the identity

[tex] { \sin }^{2} b + { \cos }^{2} b = 1[/tex]

By using the identity above gives

[tex] { \sin}^{2} b + ( { \frac{5 }{13} })^{2} = 1[/tex]

[tex] = > { \sin}^{2} b = 1 - \frac{25}{169} = \frac{144}{169} [/tex]

[tex] = > \sin(b) = \sqrt{ \frac{144}{169} } = \frac{12}{13} [/tex]

Now to find the value of cosA , we'll use the same identity.

[tex] {( \frac{3}{5} })^{2} + { \cos}^{2} a = 1[/tex]

[tex] = > { \cos }^{2} a = 1 - \frac{9}{25} = \frac{16}{25} [/tex]

[tex] = > \cos(a) = \sqrt{ \frac{16}{25} } = \frac{4}{5} [/tex]

Now we know that

[tex] \sin(a + b)=\sin(a)\cos(b)+\sin(b) \cos(a) [/tex]

So value of sin(a+b) =

[tex] \frac{3}{5} \times \frac{5}{13} + \frac{12}{13} \times \frac{4}{5} [/tex]

[tex] = \frac{3}{13} + \frac{48}{65} [/tex]

[tex] = \frac{63}{65} [/tex]

Answer:

−

3

(

1

+

4

)

=

3

3

Step-by-step explanation:

Answer:

1: -3

2: 24

3: 10

4: 5

5: -7

6: 8

7: 2

Step-by-step explanation:

hope this helps:)

Answer:

A.

Step-by-step explanation:

If the results are similar (A) should be your answer!

Option A is correct.

Generalization is a process which leads to something more general and whose product consequently refers refers to an actual or potential manifold  in a certain way.

According to the given question

"At the end of the first day, the store found that twice as many shoppers select an apple"

So, the generalization can be made from the above result is " from the given choice of a banana or an apple, twice as many shoppers will select an apple".

Hence, option A is correct.

Learn more about generalization here:  

https://brainly.in/question/10736010

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Answer:

2t+b=8.00

e+t+b=8.50

2e+2t=10.00

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

30x2=60

Answer:

The value of μ will be "0.82".

Step-by-step explanation:

The given question is incomplete. Please find attachment of the complete question below.

The given three random samples are 0.8, 0.95 and 0.7.

Now,

⇒ [tex]\mu=\frac{\bar{x_1}+\bar{x_2}+\bar{x_3}}{3}[/tex]

On substituting the estimated values, we get

⇒    [tex]=\frac{0.8+0.95+0.7}{3}[/tex]

⇒    [tex]=\frac{2.45}{3}[/tex]

⇒    [tex]=0.82[/tex]

It will not rational here, considering the equivalent significance, since the sampling amount for sample 3 becomes somewhat big 200.

Answer:

11

Step-by-step explanation:

32.50-7.50=25

225/25=11

Answer:

Everyone should get president every month simple

Answer:

D the 4th one that starts with-13.

Answer:

14720$ he will make and there are 7360 tomatoes

Step-by-step explanation:

Answer:

show the graph then we can fingerite out

Step-by-step explanation:

we will have to see the graph then we can see what we are working with

Answer:

11

Step-by-step explanation:

Let a= times he hit 4 par

Let b = times he hit 5 par

a+b=18 => 4a+4b = 72

4a+5b=79

b=79-72=7

So a = 11

answer:

18 = 4a + 5b = 79, b = 79 - 72 = 7 → 11 holes

i hope this helps ♡♡♡

Answer:

83 adults visited the museum on february...

Step-by-step explanation:

hope this helps

9514 1404 393

Answer:

  162°

Step-by-step explanation:

The measure of inscribed angle ADC is half the measure of the intercepted arc AC. That arc has a measure that is the same as the central angle it subtends, angle ABC.

So, central angle ABC is twice the measure of inscribed angle ADC:

  m∠ABC = 2·81° = 162°

Answer:

The answer is A,B,D

Step-by-step explanation:

I got it right on EDGE

The required key features of the given [tex]y\ =\ \frac{\left[18-3x-x^{2}\right]}{x^{2}-9}[/tex] area as follows,
(A) The graph has a y-intercept at –2.
(B) The graph has an x-intercept at –6.
(D) The graph has a vertical asymptote at x = –3.

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Given function
[tex]y\ =\ \frac{\left[18-3x-x^{2}\right]}{x^{2}-9}[/tex]

Draw the graph of the above function,
From the graph, we can conclude the points that,
The Y-intercept of the function is y = -2, the X=intercept of the function is x = -6, and the vertical asymptote at x = –3.

Learn more about function here:

brainly.com/question/21145944

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Answer: 14$

Step-by-step explanation:

let x = number of games, let y = cost of shoe rental

then        Total cost = x•$4 + y

In this case, TC = 3•$4 + $2

TC = $14

Answer:

70%

Step-by-step explanation:

21/30      p/100

30/30=2,100/30=70

Answer:

$48

Step-by-step explanation:

you would first need to find what the cost of 1 book is so

16 divided by 4 is 4

so 1 book is $4

then you would need multiply the cost of one book by 12

so 4 times 12 is 48

so the cost would be $48

Answer:

192

Step-by-step explanation:

times