solve the equations
​

The value of the car to be, to the nearest cent, after 11 years is $7641.

Given data;

A brand-new car is bought for $20300. The car's value decreases by 9.5% annually.

To know the value of the car to be, to the nearest cent, after 11 years;

[tex]S(t) = 20300*(0.915)^t[/tex]

[tex]S(11) = 20300*(0.915)^1^1[/tex]

[tex]S(11) = 20300*0.376[/tex]

[tex]S(11) = 7640.61[/tex]

Hence, the value of the car after 11 years is $7641.

To learn more about Cent click here:

brainly.com/question/25713229

#SPJ4

The probability of choosing the biased coin if you win a prize is 0.3056

To answer this query, we employ the conditional probability formula. It is, where

P(B|A) is the likelihood that event B will occur in the absence of event A.

is the likelihood that both A and B will occur.

P(A) denotes the likelihood that A will occur.

The following probability applies:

50% chance of winning a prize with the fair coin.

There is a 100-78 = 22% chance of winning a reward with the biased coin.

50% chance of selecting each coin.

What is the likelihood that you would choose the biased coin if you were to win a prize?

Event A: Receiving the award

Choosing the skewed coin is event B.

the likelihood of selecting the skewed coin and obtaining the reward.

p(A∩B) = 0.5 * 0.22 = 0.11

probability of winning the prize:

p(A) = 0.5*0.22 + 0.5 *0.5 = 0.36

conditional probability:

p(B/A) = 0.11/0.36= 0.3056

the probability of choosing the biased coin if you win a prize is 0.3056

To learn more about Conditional Probability:

https://brainly.com/question/8284622

#SPJ4

Answer: 10

Step-by-step explanation: it’s 10 because 2 is a multiple of 10 and 10 is 10 so no change required.

Answer:

LCD = 10

Step-by-step explanation:

7/2 = 35/10

3/10 = 3/10

Answer:

42

Step-by-step explanation:

1.25x = 52.5  Divide both sides by 1.25

x = 42

The students' Landry and Erika was the name used and the image is attached

A linear function consists of functions where the variables has exponents of 1.

The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

y = output variable

m = slope

x = input variable

c = y intercept

The two graphs shown the first from the left represents a positive slope while the second is a negative slope

Cole and Erika are both positive slopes while Landry has a negative slope. This makes Landry to be sure of the second graph

Considering c (y intercept)

In Cole's equation c = -1 and in Erika's equation c = +4

Erika's equation coincides with the graph with positive slope and Landry matches with second graph.

Learn more about graphs of linear functions at:

https://brainly.com/question/29244324

#SPJ1

Answer:

i can't see the pic

Step-by-step explanation:

The values of x and y are not in a linear relationship.

Given,

x y

1 4.3

2 8.6

3 12.9

4 16.3

The linear relationship between x and y can be determined by using,

[tex]y=kx\\k=\frac{y}{x}[/tex]

Where, k=constant rate of change

If k is same for all values of x and y then the given data are said to be in linear relationship.

At first row,

[tex]k=\frac{4.3}{1} =4.3[/tex]

At second row,

[tex]k=\frac{8.6}{2}=4.3[/tex]

At third row,

[tex]k=\frac{12.9}{3}=4.3[/tex]

At fourth row,

[tex]k=\frac{16.3}{4} =4.075[/tex]

So, the k is not same for all values for x and y. Hence, the given data is non linear

To learn more about linear relationship refer here

https://brainly.com/question/4356396

#SPJ9

The equation that can be used to find the side length of the shape is 14s - 7s/2 = 84

From the information, the two sides of the rectangle are 14 and s.

Area of a rectangle = length × width

The triangle is cut from the rectangle, the height is s/2 and the base is 14.

The area will be: = 1/2 × base × height

= 1/2 × 14 × s/2

= 7s/2

The area of shaded part will be;

= Area of rectangle - Area of triangle

= 14s - 7s/2

Since area is 84, the equation is 14s - 7s/2 = 84.

Learn more about length on:

brainly.com/question/9555451

#SPJ1

Answer:   p = 9 - 0.5s

Optionally you can replace 0.5 with the fraction 1/2

===================================================

Explanation:

s = number of slices

0.5s = total width of all of those slices mentioned

9-0.5s = amount left over.

For example, if he eats s = 4 slices then he has eaten 0.5s = 0.5*4 = 2 inches of bread, and there are 9-2 = 7 inches left.

Notice how 9-0.5s=9-0.5*4 = 9-2 = 7.

The equation p = 9 - 0.5s is not an inverse variation because it's not in the form p = k/s, where k is some constant.

The value of variable x is 16.5 using the cross-multiplication method.

The denominator of the first term is multiplied by the numerator of the second term when utilizing the cross-multiplication method.

In mathematics, more specifically in elementary arithmetic and elementary algebra, one could cross-multiply an equation between two fractions or rational expressions to make the equation easier or to determine the value of a variable.

So, the value of x will be:

Use the cross-multiplication method as follows:

2x-7/4 = x+3/3

3(2x-7) = 4(x+3)

6x - 21 = 4x + 12

2x = 12 + 21

2x = 33

x = 33/2

x = 16.5

Therefore, the value of variable x is 16.5 using the cross-multiplication method.

Know more about the cross-multiplication method here:

https://brainly.com/question/28839233

#SPJ1

Correct question:
Obtain the value of x.

Answer:

x = 4

Step-by-step Explanation:

[tex]\triangle LMO \sim \triangle NMO \ \rm{(AA \ Similarity)} \\ \\ \rm \implies 12x - 5 = 43 \\ \\ \rm \implies 12x = 43 + 5 \\ \\ \rm \implies 12x = 48 \\ \\ \rm \implies x = \frac{48}{12} \\ \\ \rm \implies x = 4[/tex]

Answer:

simplify - 3x^2xy-(-3x^2) x 2x ^3y^2^z: -3x^3y+6x^2+3y2z

For the given function 4xy-4x+4y³ = -36 , value of dy/dt for the condition dx/dt = -16 , x= 4, y= -1 is equal to dy/dt = -32/7.

As given in the question,

Given function is equal to :

4xy-4x+4y³ = -36

Let us consider x and y are function of t.

Now , evaluate the derivative of function with respect to t we get,

4x(dy/dt) + 4y(dx/dt) -4(dx/dt) + 12y²(dy/dt) = 0

⇒( 4x + 12y² ) (dy/dt) + ( 4y -4 ) (dx/dt) = 0

Substitute the value of dx/dt = -16, x = 4 , y = -1 we get,

[ 4(4) + 12(-1)² ](dy/dt) + [ 4(-1) - 4 ] (-16) =0

⇒(16 +12) (dy/dt) + (-8)(-16) = 0

⇒ dy/dt = - ( 8× 16)/ 28

⇒ dy/dt = -32/7

Therefore, for the given function 4xy-4x+4y³ = -36 , value of dy/dt for the condition dx/dt = -16 , x= 4, y= -1 is equal to dy/dt = -32/7.

The complete question is:

Assume x and y are functions of t. Evaluate dy/dt , for 4xy-4x+4y³ = -36, with the conditions dx/dt = -16 , x = 4 , y = -1.

(Type an exact answer in simplified form.)

Learn more about function here

brainly.com/question/5975436

#SPJ1

Answer: 9x + 16

Simplify the expression

Answer:

A. 63.

Step-by-step explanation:

There is no null hypothesis in this situation there is no differences in the opinions about marriage between men and women

In the field of science, hypothesis testing is an effective method of determining whether or not there is a relationship between two or more variables. A null hypothesis is a default position or a general statement that no relationship or connection exists between the given variables.

The hypothesis is then tested, and based on the results of the tests, a conclusion is drawn either approving or rejecting the null hypothesis.

In the given situation, where the researcher predicted that women would have different opinions about marriage than men, the null hypothesis could be formulated because there is no difference in the opinions of men and women about marriage.

To learn more about null hypothesis:

https://brainly.com/question/28920252

#SPJ4

To rewrite the expression 12x+8 to find an equivalent expression.

The answer is

 12 x + 8 is equivalent to 4(3x + 2) is equivalent to  

 3x + 3x+3x+3x + 2 +2+2+2 is  equivalent to (x+x+x)+(x+x+x)+(x+x+x)+(x+x+x)+2+2+2+2

Therefore these are the possible expressions

Step: 1

Here given that,

Rewrite the expression 12x + 8 to find an equivalent expression. Show three possible expressions. What do the rewritten expressions tell you about the relationships among the quantities.

Step: 2

When you rewrite an expression, you are writing an equivalent expression. 

 12 x + 8 is equivalent to 4(3x + 2) is equivalent to  

 3x + 3x+3x+3x + 2 +2+2+2 is equivalent to  

(x+x+x)+(x+x+x)+(x+x+x)+(x+x+x)+2+2+2+2

Therefore these are the possible expressions

Hence the answer is

 12 x + 8 is equivalent to 4(3x + 2) is equivalent to  

 3x + 3x+3x+3x + 2 +2+2+2 is equivalent to  

(x+x+x)+(x+x+x)+(x+x+x)+(x+x+x)+2+2+2+2

Therefore these are the possible expressions

To learn more about expressions click here https://brainly.com/question/22048677

#SPJ9

If t=1, then d=3:  In 1 minute, the snail traveled 3 inches.

If t=2, then d=6:  In 2 minutes, the snail traveled 6 inches.

If t=3, then d=9:  In 3 minute, the snail traveled 9 inches.

The snails speed is 3 inches per minute.  That's what the 3 represents.  The change in distance (inches) for each minute that passes.

Answer:

(-2.-3)

Step-by-step explanation:    

(-2.-3)

The slope of a line parallel to the line whose equation is 10x + 6y = -96 is;

m = - 5/3

Find the slope fully simplify my answer.

10x + 6y =-96

y = - 5/3 x – 16

y = - 5/3 x + (-16)

y = - 5/3 x + (-16), m = - 5/3

Read more at; brainly.com/question/4193335

#SPJ1

The value of f is 19 and the value of g is 10.5 after solving the simultaneous equation, f-2g+3=2f-39+2=1 ​.

According to the question,

We have the following equation:

f-2g+3=2f-39+2=1 ​

Now, we will equate both these equations to 1:

f-2g+3 = 1

Subtracting 3 from both sides:

f-2g = 1-3

f-2g = -2 ..(1)

2f-39+2 = 1

2f -37 = 1

Adding 37 to both sides:

2f = 1+37

2f = 38

Dividing by 2 on both sides:

f = 38/2

f = 19

Putting this value of f in equation 1:

f-2g = -2

19-2g = -2

-2g = -2-19

-2g = -21

g = 21/2

g = 10.5

Hence, the value of f is 19 and the value of g is 10.5 after solving the simultaneous equation, f-2g+3=2f-39+2=1​.

To know more about simultaneous equation here

https://brainly.com/question/16763389

#SPJ9

The volume of the cube A is 8 cm³ and the volume of the cube B is 64 cm³

A cube is a three-dimensional representation of a square. it has 6 faces 2 on the bottom and top, and 4 on the sides faces.

We have been given that Two larger cubes are made out of unit cubes. Cuba A is 2 by 2 by 2. Cube B is 4 by 4 by 4. then the side length of Cube B is twice that of Cube A.

Then the surface area of Cube B = 6a²

Cube B = 6 x 4² = 96

Surface area of Cube A = 6 x 2² = 24

The volume of the cube A = a³ = 2³ = 8 cm³

The volume of the cube B = a³ = 4³ = 64 cm³

Learn more about cubes;

brainly.com/question/15420947

#SPJ1

Answer: 26

Step-by-step explanation:

1. Make an equation

n+n+2+n+4=78

(You have n+2 because to get to the next even number you'd have to add 2. For example, 2 is even, to get to the next even number, 4, you have you add 2.)

2. Combine like terms

3n+6=78

3. Solve for n

3n=72

n=24

4. Solve for the second number

(The second number would be n+2)\

n+2

24+2

26

ANSWER: 26

Answer: B

Step-by-step explanation:

If n is an integer , the possible values of n in the given inequality are n > 5/2 and  n < 10       .

In the question ,

it is given that ,

the inequality is 5 < 2n < 20 , where n is an integer .

we need to find the all the possible values of n that satisfy the given inequalities .

to find the possible values of n , we solve both sides of the inequality separately ,

that is ,

5 < 2n

dividing both sides in the inequality by 2, we get

5/2 < n

n > 5/2

and

2n < 20

dividing both sides in the inequality by 2 , we get

n < 20/2

n < 10

Therefore , the possible values of n are n > 5/2 and  n < 10   .

The given question is incomplete , the complete question is

Write down all the possible values of n for the inequality 5<2n<20 , where n is an integer ?

Learn more about Inequalities here

https://brainly.com/question/18205533

#SPJ9

Answer: 5^13

Step-by-step explanation:

1. The Exponent out of the parenthesis would be multiplied by the exponent in the parenthesis

(5^2)^4*5^5

5^8*5^5

2. Since the exponents have the same base, when they are multiplied you will keep the same base, and the exponents will add up

5^8*5^5=5^13

Answer:

Step-by-step explanation:

When adding or subtracting, the matrices must be the same size!

Therefore, B-A is not possible.