Joe is putting money into a savings account. He starts with $ 750 in the savings account, and each week he adds $60.Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Joe has been adding money. Write an equation relating S to W. Then use this equation to find the total amount of money in the savings account after 16 weeks.

4 units tο the right and 6 units dοwn, withοut changing its size οr οrientatiοn describes the mοvement οf a figure that is translated accοrding tο the rule belοw.

In geοmetry, a mοtiοn is an isοmetry οf a metric space. Fοr instance, a plane equipped with the Euclidean distance metric is a metric space in which a mapping assοciating cοngruent figures is a mοtiοn.

The rule \($\rm (x,y) \to (x+4,y-6)$\) defines a translatiοn οf a figure in the plane. Specifically, each pοint in the οriginal figure is mοved 4 units tο the right and 6 units dοwn tο οbtain the cοrrespοnding pοint in the translated figure.

Fοr example, cοnsider the pοint (2, 3) in the οriginal figure. Applying the translatiοn rule, we οbtain (2+4 ,3-6) = (6,-3) as the cοrrespοnding pοint in the translated figure.

Similarly, any οther pοint (6, 4) in the οriginal figure is translated tο the pοint (6+4 ,4-6) = (10,-2)  in the translated figure.

Geοmetrically, we can think οf the translatiοn as sliding the entire figure 4 units tο the right and 6 units dοwn, withοut changing its size οr οrientatiοn.

To learn more about  translated figure click on the link:

https://brainly.com/question/23961993

#SPJ1

Answer:

1,200

Step-by-step explanation:

The correct equation that matches the given graph is y = cos(x) + 1.

To determine the equation that matches the given graph, we can observe the key features and points provided.

The waveform starts from the y-axis at 1 unit: This suggests that the function has a vertical shift of 1 unit upwards.

The waveform passes through (π, -1), (2π, 1), and (3π, -1): This indicates that the function oscillates between the values of -1 and 1 as x increases.

The waveform intercepts the x-axis at π/2, 3π/2, 5π/2, and 7π/2: This suggests that the function has zeros or x-intercepts at these values.

Based on these observations, the function can be represented as a cosine function.

The cosine function with a vertical shift of 1, oscillating between -1 and 1, and having zeros at π/2, 3π/2, 5π/2, and 7π/2 is:

y = cos(x) + 1

For similar questions on equation

https://brainly.com/question/17145398

#SPJ11

The graph of the translated function is g ( x ) = ( x + 5 )² + 2

Given data ,

Let the parent function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x²

On simplifying , we get

The function is translated 5 units to the horizontal left direction:

And , when the function is translated 2 units in the vertical upward direction:

So , the translated function is

g ( x ) = ( x + 5 )² + 2

Now , the vertex of the function g ( x ) = ( x + 5 )² + 2 is (-5, 2)

Hence , the graph of the function is plotted and g ( x ) = ( x + 5 )² + 2

To learn more about translations click :

https://brainly.com/question/19007400

#SPJ1

Answer: 3N+6

Step-by-step explanation:

\( {7}^{2( \frac{1}{2}) } \\ \)

Cancel the common factor of 2.

\( {7}^{1} \)

Evaluate the exponent\( \:= 7\)

The contrapositive of the statement "If x is a multiple of \(10\), it is an even number" is "If \(x\) is not a multiple of \(10\), then it is not an even number."

To complete the contrapositive of the statement "If \(x\) is a multiple of \(10\), it is an even number," we need to negate and reverse the original statement.

The original statement can be represented as:

\(\[P: \text{If } x \text{ is a multiple of 10, then } x \text{ is an even number.}\]\)

The negation of this statement is:

\(\[\neg P: \text{If } x \text{ is not an even number, then } x \text{ is not a multiple of 10.}\]\)

To form the contrapositive, we reverse the implications:

\(\[\text{Contrapositive: If } x \text{ is not a multiple of 10, then } x \text{ is not an even number.}\]\)

In symbolic notation, the contrapositive would be:

\(\[\text{Contrapositive: } \neg P: \text{If } \neg(x \text{ is a multiple of 10}), \text{ then } \neg(x \text{ is an even number}).\]\)

Therefore, the contrapositive of the statement "If x is a multiple of \(10\), it is an even number" is "If \(x\) is not a multiple of \(10\), then it is not an even number."

For more such questions on contrapositive: https://brainly.com/question/30045217

#SPJ11

Given the equation

Notice that it is a linear equation

The change per day in the road's length is given by the slope of the line which is the constant that accompanies the x-term.

Therefore, the answer to part 1) is 2 miles.

On the other hand, set x=0 (zero days since the crew started working); then,

Thus, the initial length of the road is 51 miles.

Answer:

x = 100

Step-by-step explanation:

\(Log_{10} x =2 \\ \\ x = {10}^{2} \\ \\ x = 100\)

The percent mark up on the cost is 30.26%.

JCPenney sells jeans for $49.50 that cost $38.00.

The percent mark up can be calculated as follows:

Mark up percentage is calculated by dividing the gross profit of a unit by the cost of that unit.

In other words, Mark-up percentage is the difference between a product's selling price and cost as a percentage of the cost.

Hence,

selling price = $49.50

cost price = $38.00

mark up = 49.50 - 38 = 11.5

Therefore,

percent mark up = 11.5 / 38 × 100

percent mark up = 1150 / 38

percent mark up = 30.2631578947

Therefore,

percent mark up = 30.26%

learn more on percent mark up here: brainly.com/question/12284542

#SPJ1

Answer:

C

Step-by-step explanation:

Answer:

141

Step-by-step explanation:

The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

Learn more about population:https://brainly.com/question/30324262

#SPJ1

Answer:

The digit that fit into the blank space is 6

Step-by-step explanation:

Here, we want to enter digits into the blank space that can make the expression valid.

Let’s try 6;

6583 < 6612 < 6687

This is actually correct.

Can we have any other digit here?

No, i don’t think so.

Putting in a 5 will make the first number greater than the middle

Putting in a 7 will make the middle number greater than the last and thus render the expression invalid

Answer:

x = 12

Step-by-step explanation:

4x - 5 = 2x + 19

First subtract the 2x from 4x.

2x - 5 = + 19

Then add the 5 to the 19.

2x = 24

Divide 24 by 2 in order to get x by itself.

x = 12

Given:

We have given so many values for line

Required:

To find the line for data

Explanation:

(-7,1) ,(2,9), (0,7), (-3,5) ,(-8,-2) , (-1,2)

(-6,-1), (-5,0), (0,5), (1,7), (-4,2), (3,7)

Using the online regression calculator:

slope

Y- is the predictor variable

X- is the independent variable

5.613 =slope of gradient

0.5837= intercept (b) where the line best fit cross the y-axis

Required answer:

Above calculation

Answer:

D) I hope this helps you out :)

Answer:

Cylinder A: 3.58 m^3,  cylinder B: 8.72 m^3, cylinder B has the greater volume

Step-by-step explanation:

Volume of a cylinder  \(V=\pi r^2h\)  r is the radius, h is the height.

Cylinder A:  The circumference is given,  C = 3.  Circumference is found by the formula \(C=2 \pi r\).  Replace C with 3 and solve for r so it can be used in the volume formula.

\(3=2\pi r\\3=2(3.14)r\\3=6.28r\\r=3 \div 6.28 \approx .4777\)

Volume:  \(V=(3.14)(.4777)^2(5) \approx 3.58\)  cubic meters

Cylinder B:

\(C=2\pi r\\5=2(3.14)r\\r=5 \div 6.28 \approx .7962\\\\V=\pi r^2h\\ V=(3.14)(.7962)^2(3) \approx 8.72\)  cubic meters

Please upload an image or give a question.

According to the image  the x-axis, there is a reflection (- 4, 2 ).

An image that has been flipped has no points that are closer to the mirror line than the original shape. The point's coordinate must be multiplied by -1 in order to reflect it over the axis. Simply add -1 to the coordinate of the point to reflect it over the axis.

Analytic geometry, often known as coordinate geometry, is the study of geometry using coordinate points. It is possible to determine distances between points using coordinate geometry, as well as divide lines into m:n segments, locate a line's midpoint, determine the area of a triangle in the Cartesian plane, and perform other operations.

Under the x-axis reflection.

A point (x, y) → (x, -y), so

(- 4, - 2 ) → (- 4, 2 )

To know more about reflection of a coordinate visit:

https://brainly.com/question/24215981

#SPJ9

Answer: -2

Step-by-step explanation:

The slope of the line perpendicular to another slope is the opposite sign and flipped(reciprocal)

The slope of the line = 1/2

So the perpendicular slope = -2

Answer: To find the absolute value of the expression 1 1/2 - 2/31, we first need to convert the mixed number 1 1/2 into an improper fraction.

1 1/2 can be written as (2 * 1 + 1) / 2, which is equal to 3/2.

Now we can subtract 2/31 from 3/2:

3/2 - 2/31 = (3 * 31 - 2 * 2) / (2 * 31) = (93 - 4) / 62 = 89/62.

The absolute value of a fraction is the positive value without considering its sign. So, the absolute value of 89/62 is 89/62.

Therefore, the absolute value of 1 1/2 - 2/31 is 89/62.

Answer:

 0

Explanation:

Given expression:

\(\sf 6 - (1 \times 4) -2\)

Use BODMAS method:

brackets, order, division, multiplication, addition, subtraction

First simplify variables inside brackets

\(\sf 6 - (4) -2\)

Then simply use subtract integers

\(\sf 0\)

\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

Let's get it done using Bodmas Rule ~

\(\qquad \sf  \dashrightarrow \: 6 - (1 \times 4) - 2\)

\(\qquad \sf  \dashrightarrow \: 6 - (4) - 2\)

\(\qquad \sf  \dashrightarrow \: 6 - ( 4 + 2)\)

\(\qquad \sf  \dashrightarrow \: 6 - 6\)

\(\qquad \sf  \dashrightarrow \: 0\)

We will get the end result 0, on simplification ~

Answer:

97

Step-by-step explanation:

4^2+3(37-(2*5))

4^2+3(37-10)

4^2+3(27)

16+3(27)

16+81

=97

Answer:

Step-by-step explanation:

(2*5)=10, 37-10=27, 4^2=16, 3(27)=81, 16+81= 97

Answer:

the answer is a, as many girls as boys play sports

ANSWER :

The answer is :

EXPLANATION :

Recall that 1 mm is 10^-3 m

From the problem, we have :

well, Diego is 4 now, so by his 18th birthday that'll be 14 years later.

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$1600\\ r=rate\to 8.25\%\to \frac{8.25}{100}\dotfill &0.0825\\ t=years\dotfill &14 \end{cases} \\\\\\ A=1600[1+(0.0825)(14)]\implies A=1600(2.155)\implies A=3448\)

The simplified value of (2x - 4)² is 4x² - 16x + 16.

First, let us understand the algebraic identities;

Algebraic identities are equations in which the left hand side of the equation is identically equal to the right hand side of the equation.

Some of the identities are:

We are given (2x - 4)².

Use the identity (a - b)² = a² - 2ab + b² to expand to the given expression.

So, a = 2x and b = 4.

Put it into the identity, we will get;

Therefore,

(2x - 4)² = (2x)² - 2 * 2x * 4 + (4)² = 4x² - 16x + 16

Thus, the simplified value of (2x - 4)² is 4x² - 16x + 16.

To learn more about the algebraic identities visit:

https://brainly.com/question/16857438

#SPJ1

a. Using the ratio of the sides 12 cm and 16 cm

x/20 = 12/16

x = (12(20)) / 16 = 15

b. Using the ratio of the sides 6 cm and 8 cm

x/20 = 6/8

x = (6(20)) / 8 = 15

c. The answer is the same since the ratio 12/16 and 6/8 is both equal to ¾.

Hope this answer will be a good help for you.

Answer:

Step-by-step explanation:

answer b

Answer: Its C not B

Step-by-step explanation: