A credit card has a nominal annual interest rate of 18%, and interest is compounded monthly. The cardholder uses the card to make a $30 purchase.

Which expression represents the balance on the card after 5 years, in dollars, assuming no further charges or payments are made?

Answer:

200 vs 230

$30

Step-by-step explanation:

The equation of the red graph is g(x) = 6 - [tex]x^4[/tex].

Thus, option (B) is correct.

Given:

Function 1 : f(x) = 3 - [tex]x^4[/tex]

As, the y-intercept is the point where a line or curve intersects the y-axis.

It is the value of y when the corresponding x-coordinate is zero. It is the point(s) where the graph crosses the y-axis.

Now, from the graph of function f(x) has the intercept 6.

Also, the graph of function g(x) is 3 unit up from the function f(x).

So, the equation of g(x) will be

= f(x)  + 3

= 3 - [tex]x^4[/tex] + 6

= 6 - [tex]x^4[/tex]

Thus, option (B) is correct.

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Answer:

greatest 9776410 smallest 1046779

Step-by-step explanation:

in smallest we cannot write 0 first because 0 has no units

Answers:

Largest possible = 9776410

Smallest possible = 1046779

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

Explanation:

To make the greatest 7-digit number, we start with the largest digit at the left-most end. So we start with 9. Then the next digit is the next largest, which is 7, and so on until we get

9776410

If we swap any two distinct digits, then we'll get something smaller than that value above. For instance, swap the 1 and 0 which leads to 9776401 and this is smaller than 9776410. This is simply because 01 is smaller than 10. Every other digit is kept the same. Try out other digit swaps to see that the result is smaller than the value in bold.

------------------------

To make the smallest 7-digit number, we just take the idea mentioned in the first section and we reverse it. We start with the smallest digit. We can't have 0 as the first value or else it won't be a 7-digit number. So we go for 1 instead. Then we can pick 0 next. For the third digit we pick the third smallest (the digit 4), and we build up to get

1046779

If we swap any distinct two digits, then we'll get something larger than this value. Let's say we swap the second 7 and the 9 at the end. We go from 79 at the end to 97. Since 79 < 97, this means 1046779 < 1046797. That's one example of many.

--------------------------

So in short, the largest number possible has all the largest digits to the left (and we decrease going left to right). The smallest number possible is the reverse of this having the smallest digits to the left (then increasing from left to right). The 0 cannot be at the left-most digit position, or else won't have a seven digit number.

Step-by-step explanation:

the lines on the graph of inequality second option

Answer:

Mean=7.7

Median=7

Mode=10 and 6

Range=7

Answer:

Mean = 7.7

Median = 7

Mode = 6 and 10

Step-by-step explanation:

Arrange the data in ascending order :

4 , 6 , 6 , 7 , 10 , 10 , 11

Mean is the sum of the data by number of data.

[tex]Mean = \frac{ 4 + 6 + 6 + 7 + 10 + 10+ 11}{7} = \frac{54}{7} = 7 . 7[/tex]

Median is the middle number.

[tex]Median = \ 7[/tex]

Mode most frequent value in the data

[tex]Mode = \ 6 \ and \ 10[/tex]

Answer:

x = 10

y = -2

Step-by-step explanation:

Elimination method:

6x -  5y = 70 -----------------(I)

7x + 2y = 66 -----------------(II)

Multiply equation (I) by 2 and equation (II) by 5 and add. So, y will be eliminated and you can now find the value of x

(I)*2           12x - 10y  = 140

(II)*5          35x + 10y = 330     {Now add}

                 47x           = 470

                              x = 470/47

x = 10

Plugin x = 10 in equation (II)

7*10 + 2y = 66

70 + 2y = 66

Subtract 70 from both sides

2y = 66 - 70

2y = -4

Divide both sides by 2

y = -4/2

y = - 2

Answer:

i think the answer is c cuz theres 36 number cards

Answer:

33 blooms

Step-by-step explanation:

This can be set up by an equation. x represents the number of days and y represents the number of corresponding blooms. y = 3x + 12 is the equation, as 3 is the rate of change and 12 is the initial amount. One week is 7 days, so 7 can be plugged in for x. 21 + 12 = 33, so after one week, Debbie has 33 blooms.

Answer:

S'' = ([tex]-\frac{3}{2} , \frac{9}{2}[/tex] )

Step-by-step explanation:

coordinate of x is (-2 , 6)

scale factor to transform the triangle is 3/2

so to find S' use this scale factor

formula :

(x , y) = (kx , ky)    (k means scale factor)

S(-2 , 6) = S'(3/2 *-2 , 3/2 * 6)

S'(-3 , 9)

now to find S'' again use the same formula

(x , y ) = (kx , ky)

this time take S' and to find S'' use 1/2 as scale factor

S'(-3 , 9) = S''(1/2 *-3 , 1/2 * 9)

S''(-3/2 , 9/2)

The transformation is S'' = (-3/2, 9/2). The correct option is A.

Scale factor refers to the ratio of corresponding lengths or measurements between two similar objects or figures. It represents how much one object has been scaled or enlarged/reduced compared to another object.

The scale factor is determined by dividing the length or measurement of a corresponding side or dimension of one object by the length or measurement of the corresponding side or dimension of the other object. It provides a quantitative relationship between the two objects.

The coordinate of x is (-2, 6). The scale factor to transform the triangle is 3/2 so to find S' use this scale factor.

formula :

(x , y) = (kx, ky)    (k means scale factor)

S(-2 , 6) = S'(3/2 x -2 , 3/2 x 6)

S'(-3 , 9)

Now to find S'' again use the same formula:

(x , y ) = (kx, ky)

this time take S' and to find S'' use 1/2 as the scale factor.

S'(-3 , 9) = S''(1/2 x -3 , 1/2 x 9)

S''(-3/2 , 9/2)

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Answer:

C

Step-by-step explanation:

For any point (x, y) on the parabola the focus and directrix are equidistant

Using the distance formula

[tex]\sqrt{x^2+(y-5)^2}[/tex] = | y + 5 | ← square both sides

x² + (y - 5)² = (y + 5)² ← expand parenthesis on both sides

x² + y² - 10y + 25 = y² + 10y + 25 ( subtract y² - 10y + 25 from both sides )

x² = 20y

Answer:

Part A;

$79

Part B;

The amount Stella would have saved in 'w' weeks = 15 + 8·w

Step-by-step explanation:

Part A

The amount of money Stella already has = $15

The amount she can save per week = $8

The total amount of money, 'A', Stella would have after 8 weeks is given as follows;

A = The amount Stella already has + The amount she can save per week × The number of weeks of savings

Therefore;

A = 15 + 8 × 8 = 79

The amount Stella would have after 8 weeks, A = $79

Part B

The expression that represents the amount of money Stella would have saved in w weeks is given as follows;

A = The initial amount Stella has + The amount she can save per week × w (number of weeks)

∴ A = 15 + 8·w.

Answer:

hundredths

Step-by-step explanation:

Numbers after the decimal start with

tenth

hundredth

9514 1404 393

Answer:

  4 and 35

Step-by-step explanation:

Written as 4/7 = 20/35, the extremes are the outside numbers: 4 and 35.

Answer:

250

Step-by-step explanation:

Given

[tex]n =3[/tex] --- digit code

[tex]First = Even[/tex]

[tex]Last=Odd[/tex]

Required

The different combination of codes

The set of even number is:

[tex]Even = \{0,2,4,6,8\}[/tex]

The set of odd is:

[tex]Odd = \{1,3,5,7,9\}[/tex]

This means that:

The first can be any of the 5 even digits

The last can be any of the 5 odd digits

Since there is no restriction in selection;

The [tex]second[/tex] can be [tex]any[/tex] of [tex]the[/tex] 10 digits

So, the possible combination (k) is:

[tex]k =5 * 10 * 5[/tex]

[tex]k =250[/tex]

Answer:

x=1

Step-by-step explanation:

7x-1+2x-1=7

7x+2x-1-1=7

9x-2=7

9x=7+2

9x=9

9x/9=9/9

x=1

This question using the combinations concept, as the order in which the canned goods are displayed is not important. Thus, using the combinations formula, we get 8 ways, which are:

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

7 from a set of 8, so:

[tex]C_{8,7} = \frac{8!}{7!1!} = 8[/tex]

8 possible ways, in which each way we remove one of them, in the list given above.

A similar problem is found at https://brainly.com/question/23302762

Answer:

84pi

Step-by-step explanation:

Sector Area = (pi x r^2 x *angle*)/ 360

(pi x 12^2 x 210)/ 360

= 84pi

= 263.893

Answer:

The beam should be placed 8 feet from the center.

Step-by-step explanation:

According to the Question,

The struts are y = √(x + 8) and y = √(x − 4).  The struts are 2 feet apart at the location of the beam:

thus, √(x + 8) − √(x − 4) = 2  

on Solving we get,

√(x + 8) = 2 + √(x − 4)

x + 8 = 4 + 4√(x − 4) + x − 4

8 = 4√(x − 4)

2 = √(x − 4)

x − 4 = 4

x = 8

The Above triangles are similar, Therefore the corresponding sides would be proportional.

that is : -

[tex]\mathfrak{best \: \: of \: \: luck \: \: for \: \: your \: \: assignment}[/tex]

Answer:

410

Step-by-step explanation:

Inputs are x's

Substitute the 18 where you see the x

y = 23(18) - 4

y= 414 - 4

y = 410

Answer:

option alphabet c is the answer

Option C with h and k

see screenshot for an example

general formula is

r² = (x - x-center)² + (y - y-center)²

Answer:

6f = 24

f = 4

Step-by-step explanation:

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\textsf{24= 2f + 3f + f}\\\text{COMBINE the LIKE TERMS}\\\\\textsf{2f + 3f + f}\\\textsf{2f + 3f = \bf 5f}\\\textsf{5f + f}\\\textsf{= \bf 6f}\\\text{New equation: \textsf{6f = 24}}\\\text{DIVIDE 6 to BOTH SIDES}\\\mathsf{\dfrac{6f}{6}=\dfrac{24}{6}}\\\textsf{CANCEL out: }\mathsf{\dfrac{6}{6}}\textsf{ because that gives you 1}\\\textsf{KEEP: }\mathsf{\dfrac{24}{6}}\textsf{ because that helps solve for the f-value}\\\\\mathsf{\dfrac{24}{6}=\bf f}\\\\\\\mathsf{\dfrac{24}{6}=24\div6=\bf 4}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf f = 4}}}\huge\checkmark[/tex]

~[tex]\large\textsf{Good luck on your assignment and your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

x=50, y=20

Step-by-step explanation:

50-20=30, 50+20=70

Answer:

∠a=∠b

Step-by-step explanation:

Alternate exterior angles are congruent