Marcus invested $2000 in a bank account earning simple interest. The interest, I, he has after t years at an interest rate r is given by this equation.



l = 2000 rt



After 2 years, the total amount in the account was $2160. What was the annual interest rate?

Answer:

1. Negative

2. Undefined

3. Positive

4. Zero

Step-by-step explanation:

just took notes on subject and know answer. 100% sure its right

The slope of a line is determined by its steepness.

The formula for calculating slope is expressed as;

[tex]\frac{\triangle y}{\triangle x} = \frac{y_2-y_1}{x_2-x_1}[/tex]

For the first graph, we can assume the coordinates (-1, 0) and (0, -2), the [tex]\frac{\triangle y}{\triangle x} = \frac{-2-0_1}{0-(-1)}\\\frac{\triangle y}{\triangle x} = \frac{-2}{1}\\\frac{\triangle y}{\triangle x} = -2\\\\[/tex]

Since the slope is -2 which is a negative value, hence the slope of LlNE 1 is negative

For the vertical line, since the line is parallel to the y axis and the change in the x-value is zero, hence the slope of  LINE  2 will be UNDEFINED

For the THIRD graph, we can assume the coordinates (2, 0) and (0, -2), the [tex]\frac{\triangle y}{\triangle x} = \frac{-2-0}{0-2}\\\frac{\triangle y}{\triangle x} = \frac{-2}{-2}\\\frac{\triangle y}{\triangle x} = 1\\\\[/tex]

Since the slope is 1 which is a negative value, hence the slope of LlNE 3 is positive

For the horizontal line (fourth graph), since the line is parallel to the x-axis and the change in the y-value is zero, hence the slope of LINE  4 will be ZERO

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Answer:

2/11

Step-by-step explanation:

10 1/2 is the same as 11/2. The reciprocal of 11/2 is 2/11

Answer:

B. (-2,-4)

Explanation

Given equations:

   y = 3x + 2

   y = -2x - 8

Solving both equations will yield the values of x and y;

Solution:

   y = 3x + 2    ----- (i)

   y = -2x - 8   ------ (ii)

Using substitution method, input equation i, into ii

    3x + 2 = -2x - 8

Collect like terms and solve;

     3x + 2x = -8 -2

         5x  = -10

            x  = -2

Then put x = -2 into i, to find y

      y = (-2 x 3) + 2

       y = -6 + 2 = -4

So, the solution of the equation is B. (-2,-4)

Answer:

_20

Step-by-step explanation:

that is my answer I just use calculator and I get that answer

Answer:

d

Step-by-step explanation:

Answer:

i think its a

Step-by-step explanation:

The ratio of the change in the y and x values, in the table gives the slope

graph of the linear function.

Correct response:

The slope of the linear function is -6

The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx. So the change in y coordinate with respect to the change in x coordinate can be written as, dx/dy.

here, we have,

Method used for finding the slope

From the given table, we have;

The first difference of the y-values = 2 - 8 = -6 = Constant

The rate of change of the x-values = 1 = Constant

Therefore;

The function is a linear function;

The slope, m, is given by the formula;

m = y2 - y1/x2-x1

Taking a pair of points as follows;

(0, -4) = (x₁, y₁)

(2, -16) = (x₂, y₂)

We have;

m = -6

The slope of the linear function, m = -6

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Complete question:

The table represents a linear function.

What is the slope of the function?

0-6

O 4

х

-2

-1

0

1

2

у

8

2

-4

-10

-16

04

O 6

Mark this and retum

Save and Exit

Next

Submit

Answer: 26 Minutes

Step-by-step explanation:

3 mi * 1.609 km/1 mi = 4.82 km

4.82 km/ 18 minutes = 7 km/ x minutes

4.82x=18*7

x=126/4.82

x=26.14 ~ 26 Minutes

One mile contains  1 mile = 1.690KM.

According to the if we convert 7km into miles 4.3496 miles. Thus the correct answer for the question is 26 minutes  

Explanation:

That its taken the when john runs 18 minutes for 3 miles that is km4.82 than if we consider 1.34 miles is required to be covered more when subtract the value 4.3496-3.0000-1.34miles it should be 13is half of it multiply by 2 minutes more is required to cover the left distance is carried by Dividing 18by 1.34 and multiplying by 2

Thus we conclude that above answer to the Question is correct

To know more about the miles and kilometers

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Answer:d=12

Step-by-step explanation:

Answer:

the distance will be 21 whatever feet and so on. :)

hope this helps

Answer:

10

Step-by-step explanation:

Plug in 5 for x, and 10 for y in the expression:

5 + 7(5) - 3(10)

Remember to follow PEMDAS. PEMDAS is the order of operation, and stands for:

Parenthesis

Exponent (& Roots)

Multiplication

Division

Addition

Subtraction

First, Multiply:

7 * 5 = 35

-3 * 10 = -30

5 + 35 -  30

Combine like terms:

(5 + 35) - 30

40 - 30 = 10

10 is your answer.

~

Answer:

x=-8

Step-by-step explanation:

i took the quiz

Answerd

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let y represent type 2 truck and x represent type 1 truck. The painting can be represented by the inequality:

[tex]\frac{x}{800}+\frac{y}{700}\leq 1[/tex]                  (1)

The assembling can be represented by the inequality:

[tex]\frac{x}{1500}+\frac{y}{1200} \leq 1[/tex]                (2)

Also, x, y ≥ 0

The objective function is given as:

max z = 300x + 500y

Plotting 1 and 2 using online geogebra

From the graph, the optimal value is at (0,700). Hence:

max z = 300(0) + 500(700) = $350000

Answer:

Kindly check explanation

Step-by-step explanation:

Experiment of tossing a coin twice :

A.) Experimental outcome:

Head = H ; Tail = T ;

Head and Head = HH

Tail and Tail = TT

Head and Tail = HT

Tail and Head = TH

Number of head(s) on toss = z

C)

Experimental outcome ___number of heads(z)

HH _____________________2

TT _____________________ 0

TH _____________________ 1

HT _____________________ 1

D) the random variables defined are discrete because they are only take up integer values within a specified range

The following conclusions of the random variable will be

a. Total outcome = 4 {HH, HT, TH, TT}

b. The experimental outcomes = 2 {TH, HH}

c. The experimental outcomes = 1 {HH}

d. Random variable is discrete.

Random variables are rules relating the sample space's elements to real numbers.

Those random variables, which take only distinct values, are called discrete random variables.

Those random variables, which take any value from a given continuous interval of real numbers are called continuous variables.

The experiment of tossing a coin twice.

The total number of outcomes will be

Total outcome = 4 {HH, HT, TH, TT}

a. List the experimental outcomes.

Total outcome = 4 {HH, HT, TH, TT}

b. The number of heads occurring on two coin tosses.

The experimental outcomes = 2 {TH, HH}

c. A random variable that represents the number of heads occurring on the two tosses.

The experimental outcomes = 1 {HH}

d. Random variable is discrete.

More about the random variable link is given below.

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Answer:

74, 30, 13

Step-by-step explanation:

Answer: 74, 28 and 13

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

4x-9=-1

+9  =  +9

4x=9+(-1)

4x=8

divided by 2

x=2

Hope this helps :)

Answer and Step-by-step explanation:

Let

P = this computer program has a logical error in the first ten lines.

q = it is being run with an incomplete data set.

Not p = ¬p

P or q = p ∨ q

P and q = p ∧ q

If p then q = p → q

P if and only if q = p ↔ q

a)  Computer program does not have a logical error in the first ten lines or is not being run with an incomplete data set.

     ¬p ∨ ¬q

b)  Computer program has a logical error in the first ten lines, or it is not being run with an incomplete data set

p v ¬q

c) Computer program does not have a logical error in the first ten lines, and it is not being run with an incomplete data set

¬p v ¬q

d)  Computer program has a logical error in the first ten lines, and it is not being run with an incomplete data set.

P v ¬q

e)  Computer program does not have a logical error in the first ten lines, and it is being run with an incomplete data set

¬p v q

Answer:

(-5,2); opens up

Step-by-step explanation:

In the equation y = a(x − h)² + k, if a is positive it opens up

The vertex is: (h, k)

Since in the equation h is multiplied by a negative one, you have to flip the sign of h in the equation.

(x-(-5)) = (x+5)

Answer:

She spent $5.25

Step-by-step explanation:

The total cost of the apples is $5.25 if Zoe bought 1.5 pounds of apples for $3.50 per pound.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Zoe bought 1.5 pounds of apples for $3.50 per pound.

Let x be the total cost of the product:

x = 3.50x1.5

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.

x = $5.25

Thus, the total cost of the apples is $5.25 if Zoe bought 1.5 pounds of apples for $3.50 per pound.

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Answer:

12 unit squared....................

Answer:5.68x10^5

Step-by-step explanation:

Step-by-step explanation:

(b) x is at 2 twice, and -2 twice.

y is at 2 three times, and -2 three times.

The graph that fits is I.

(c) x is at 2 twice, and -2 twice.

y is at 2 once, and is never negative.

The graph that fits is IV.

(d) x is at 2 and stays there for a period of time.

y is at -2 and stays there for a period of time.

The graph that fits is II.

Answer:

The answer is below

Step-by-step explanation:

The z score is a score used to determine the number of standard deviations by which the raw score is above or below the mean, it is given by the equation:

[tex]z=\frac{x-\mu}{\sigma} \\\\\mu=mean, \sigma=standard\ deviation,x=raw\ score\\\\for\ a\ sample\ n:\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]

Given that μ = 650, σ = 50. To find the probability that 5 students who have a mean of 490, we use:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{490-650}{50/\sqrt{5} } =-7.16[/tex]

From the normal distribution table, P(x < 490) = P(Z < -7.16) = 0.0001 = 0.01%

Since only a small percentage of people score about 490, hence the local newspaper editor should write a scathing editorial about favoritism

Answer:

Step-by-step explanation:

You have to divide both numbers.