A truck is bought at the price of $67,000. The price decreases at the rate of .30 every year (t). Which equation matches this exponential model?
Question 3 options:

A)

f(t) = 67(.70)t

B)

f(t) = 70(67,000)t

C)

f(t) = t(.70)67,000

D)

f(t) = 67,000(.70)t

Answer:

16.50 dollars

Step-by-step explanation:

We can use proportion

8 euros --- 11 dollars

12 euros --- x dollars

x = 12 * 11/8 = 16.5= 16.50 dollars

Answer:

16.5 dollars

Step-by-step explanation:

Let's make a proportion using the following setup.

dollars/euros=dollars/euros

Tommy can get 11 dollars for 8 euros.  We don't know how many dollars he can get with 12 euros. Therefore, we can say that he can get x dollars with 12 euros.

11 dollars/8 euros=x dollars/12 euros

11/8=x/12

We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

x is being divided by 12. The opposite of division is multiplication. Multiply both sides by 12.

12*(11/8)=(x/12)*12

12*11/8=x

12*1.375=x

16.5=x

Tommy can get $16.50 with 12 euros.

Answer:

-1 -60p

hope it helps

Step-by-step explanation:

6 (1-10p) -7

First solve 6(1-10p) using distributive property of subtraction

(6*1)-(6*10p) -7

= 6-60p -7

Add the constants of the equation

= (6-7) -60p

= -1 - 60p

Answer:

-60p-1

Step-by-step explanation:

Well in simplyfying it we can determine that 6*1 is 6 and 6*-10p is -60p

So then the answer is -60p-1.

Answer:

30 days

Step-by-step explanation:

There are 6 * 7 = 42 days in 6 weeks.

There are 2 * 6 = 12 weekends in 6 weeks.

42 - 12 = 30

Answer:

30 days

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

You take the fractions and turn them into mixed numbers. You do that by multiplying the whole number with the denominator and adding the numerator for the new numerator and the denominator stays the same. Now, you'd get -45/8 + 7/2. Change the denominator of the second one to 8 so you can add them, do this by multiplying the numerator and denominator by 4. Now you get -45/8 + 28/8. -45 +28 is -17 so your answer is -17/8. If you need it In mixed form, 8 goes into -17 2 times so you get -2 and the remainder 1/8 so -2 1/8.

Answer:

The sequence is an arithmetic sequence.

Common difference = 0.6

Step-by-step explanation:

Given

-2.8, -2.2, -1.6, -1.0

Required

State if it's an arithmetic progression

Also state its common difference

To know if a sequence is arithmetic or not, we simply check for common difference

Common difference is calculated by subtracting a lower term with its immediate higher time;

In other words

[tex]Common difference = T_2 - T_1 = T_3 - T_2 = T_4 - T_3 = ......[/tex]

Where T represent Term and the number represent their positions;

So, from the given above

[tex]T_1 = -2.8\\T_2 = -2.2\\T_3 = -1.6\\T_4 = -1.0[/tex]

Calculating [tex]T_2 - T_1[/tex]

[tex]T2 - T1 = -2.2 - (-2.8)\\T2 - T1 = -2.2 + 2.8\\T2 - T1 = 0.6\\[/tex]

Calculating [tex]T_3 - T_2[/tex]

[tex]T_3 - T_2 = -1.6 - (-2.2)\\T_3 - T_2 = -1.6 + 2.2\\T_3 - T_2 = 0.6[/tex]

Calculating [tex]T_4 - T_3[/tex]

[tex]T_4 - T_3 = -1.0 - (-1.6)\\T_4 - T_3 = -1.0 + 1.6\\T_4 - T_3 = 0.6[/tex]

Notice that all the above workings gave the same result;

This shows that the sequence is an arithmetic sequence.

The result of each workings above is the common difference

Common difference = 0.6

Answer:

610 cm²

Step-by-step explanation:

This is an irregular figure. We can split it up by the triangle and the rectangle on the bottom.

To find the area of the triangle, we must determine the base length. As we can see, the bottom of the arrow has the measure 15 cm, and you can see that the missing section in the base of the triangle is the same measure. Now we find the measure of the base by adding 15 + 8 + 8, which equals 31 cm.

Now we multiply and divide by 2 to find the area of the triangle:

20*31 * 1/2

= 310 cm²

Now, we find the area of the rectangle. We can see that its dimensions are 15 by 20. We can plug these values into the rectangle formula:

A = 15*20

A = 300 cm²

Now we add these values to find the total area:

310 cm² + 300 cm²

= 610 cm²

Answer:

The elevation is a nonlinear function.

Step-by-step explanation:

Answer:

It's (B) The elevation is a nonlinear function.

Step-by-step explanation:

Answer: 1 squealer apart if on a square grid

Step-by-step explanation:

Answer:

The distance is 1

Step-by-step explanation:

Since the x coordinates are the same, we only need to look at the y coordinates

-3 - -4

-3 +4

1

Answer:

3

Step-by-step explanation:

Answer:

1

From -2 to 0 there is 2, but from  1 to 3 there is also 2, so 2/2=1

Answer:

7x4

28

Step-by-step explanation:

Answer:

The correct answer is D. 28 miles

Step-by-step explanation:

Because 7 miles in 2 hrs so in 8 hrs it will be 28 miles.

4 1/2 times 2 3/4 does not equals to 11 11/48.

It actually equals to 12 3/8

hope it helps

Good luck on your assignment

Answer:

The correct answer is

[tex] = 12 \frac{2}{8} \\ = 12 \frac{1}{4} \\ [/tex]

Step-by-step explanation:

[tex]4 \frac{1}{2} \times 2 \frac{3}{4} \\ \frac{9}{2} \times \frac{11}{4} \\ = \frac{99}{8} \\ = 12 \frac{2}{8} \\ = 12 \frac{1}{4} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

(-4, 2)

Step-by-step explanation:

By looking at the graph, the solution to the system of linear equations will always be where they intercept. If they both are the same line it means that there are infinite solutions, and if they don't intercept at all, that means there are no solutions.

Work Shown:

sec(80) = 1/cos(80) = 5.75877048314363 which rounds to 5.76

Make sure your calculator is in degree mode.

Answer:

it is C. An = 2(2)^n

Step-by-step explanation:

Answer:it is C. An = 2(2)^n

Step-by-step explanation:

Answer: The right answer for the question that is being asked and shown above is that: "Its length is twice the 3rd side." In a triangle, a segment is drawn joining the midpoint of two sides. The statement that is true about this segment is that Its length is twice the 3rd side

Step-by-step explanation:

Answer:    Its length is twice the 3rd side.

Answer:

Number 2 obtuse

Step-by-step explanation:

Answer:

∠COB is obtuse angle

Explanation:

I attached an image showing how to tell the difference between an acute, obtuse, right, and straight angle.

We can clearly see, just by looking at the image. ∠COB is an obtuse angle

Answer:

A

Step-by-step explanation:

The rule is, whenever you plug in g(x) into f(x) or vice versa, they always must equal x. So if you plugged in g(x) into f(x), then the outcome should be x. If the output is not x, then they are not inverses.

Answer:

1/4

Step-by-step explanation:

1/4 on my calculator

The value of log 5 to the base 625 is 1/4 .

From the definition of logarithm , we know that if log a to the base b is equal to x , where a, b are non negative integer and x is an assumed positive integer then we have ,

∴ log a to the base b = x

⇒ [tex]a = b^{x}[/tex]

Thus we can take log 5 to the base 625 = x

∴ [tex]5 = 625^{x}[/tex]

From the above equation, we can get the value of x as 1/4

Thus the value of log 5 to the base 625 is 1/4

To learn more about properties of logarithm, refer -

https://brainly.com/question/12049968

#SPJ2

Answer:

3%

Step-by-step explanation:

Just move the decimal 2 spaces to the right .03 becomes 3% :)

Answer:

The true mean volume of p

aint in each can is greater than or equals to 400ml

Step-by-step explanation:

The symbol of μ represents the mean of a data.

Mean can be defined as the average value of a set of data

Let consider the question.

We know that

μ ≥ 400ml

Where the sign ≥ means "greater than or equals to"

Which means that μ is greater than or equals to 400ml

So the solution is:

1st blank = greater than

2nd blank = equals to

Answer:

x = 12

Step-by-step explanation:

If it is a perpendicular bisector, then the intercepting angles are always 90°.

If that is the case then we simply set the expression 7x + 6 equal to 90 and solve for x. We should get 12 as our answer.

Answer:

There is no explanation so I guess 1 to 1?

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

Height of Planter = H = 20 in²

Step-by-step explanation:

As the planter is not given in the question, the question is incomplete.

First, lets complete the question by attaching the diagram related to this question.

(SEE THE ATTACHMENT)

Lets consider the right angled triangle that is formed at the top of the planter, as shown in the diagram attached.

The right angled triangle has a width of 16 inches and a heights of 16 inches as well.

We know that the Area of a triangle can be calculated by following formula:

[tex]A=\frac{1}{2}\cdot(width)\cdot(height)[/tex]

Substitute the values to find Area:

[tex]Area = \frac{1}{2}\cdot16\cdot16\\Area = 128 in^2[/tex]

We also know that the Volume of a triangular prism is given by:

[tex]Volume=(Area)\cdot(Height)[/tex]

Where

Area = Area of the face = 128 in²

Height = Height of the planter = H

Volume = 2560 in³

Substitute the values and solve for H:

[tex]2560=128\cdot{H}\\H=\frac{2560}{128}\\H=20in^2[/tex]

This Is A Linear Graph Because Quadratic Graphs Are Curved

Answer:

The unknown number is 1.

Step-by-step explanation:

You have to form an expression. So let's make the unknown number as x. Firstly, a number is multiplied by 5 :

[tex]x \times 5[/tex]

[tex] = 5x[/tex]

Secondly, 5 is added to product and you will get 10 :

[tex]5x + 5 = 10[/tex]

Lastly, you have to solve :

[tex]5x + 5 = 10[/tex]

[tex]5x = 10 - 5[/tex]

[tex]5x = 5[/tex]

[tex]x = 5 \div 5[/tex]

[tex]x = 1[/tex]

Answer:

2

Step-by-step explanation:

if you divide

10 by 5

you get two

Answer:

Part A: A  

Part B: A

Step-by-step explanation:

1)

the inequality should be less than or equal to, since we need to find how many are left

now, the answer B is wrong, since there can't be negative 56, since Xander collected some cans, though he still must collect a few

thus, the answer is A

2)

A again is correct, since it represents:c ≤ 56

B represents c ≥ 56

C represents c ≤ –56

D represents c ≥ -56

Answer:

313131 total books

Step By Step Explanation: We can use the equation 9.9%x=31000 and x represents the total number of books.

We could also convert this percent to a decimal by moving it two places to the left (0.99).

Nevertheless, we can divide both sides by 9.9% to find that the total number of books is 313131 books.