Fran is going to transfer her credit card balance over to a new card. she has an existing balance of $752.69. her current card charges her a transfer fee of 12.5%, added to her balance, for transferring her debt. the new card has an opening fee of $50, which is also added to her balance. she will also have to make an immediate minimum payment, which is 3.35% of her total balance. how much will her balance be after she makes this payment, assuming that she pays the minimum amount? round all dollar values to the nearest cent. a. $866.74 b. $868.40 c. $818.41 d. $926.82 please select the best answer from the choices provided a b c d

Answer:

$8.5

Step-by-step explanation:

Oki, so you have your info laid out. Find out the payment of each material with how much of each material then add it up and subtract from 20. For an easier way, I'll show you.

Two 3-ring binders, each 3-ring binder costs 2.75 so you'll have 2.75 x 2, which equals up to 5.5

Three packages of pencils, each package costs 1.50, therefore it's 1.50 x 3, which is 4.5

Next, two erasers, each one being .75 cents, .75 x 2 is 1.5

Now, add them all. 5.5 + 4.5 + 1.5 = 11.5

Subtract that from $20, 20 - 11.5 = 8.5

Ashton will get $8.5 back.

Answer:

answer is 55/2 which is 27.5 degree

Step-by-step explanation:

angle subtended at center is double the angle subtended on aby other part of the circle...

Answer:

6 quarters and 9 nickels

Step-by-step explanation:

alright so this took me like an hour or two to figure out cause I'm stubborn. but I wanted to give an in depth answer

..

1) first we need to know how to write it.

___=___+___

1.95 is the full value of all of the coins so it goes here. (___)=___+___

1.95=___+___

We will use q for number of quarters and n for number of nickels. the value of a quarter .25 and the value of a nickel is .05. put the value of a quarter here. ___=(___)+___

1.95=.25q+___

we will put the value of the nickel here ___=___+(___)

1.95=.25q+.05n

now that we know how to write it, we can move onto step two.

2) figuring out what variable n is

n=___

Since we know that there are three more nickels than quarters, we can start to solve this equation.

n=q+3

3) change (n) to (q+3). dont forget to use parenthesis!

1.95=.25q+.05(q+3)

4) i forget what its called but multiply .05 throughout your parenthesis. ill show you.

1.95=.25q+.05(q+3)

                  .05*q= .05q and .05*3=.15

1.95=.25q+.05q+.15

5) add variables together.

1.95=.30q+.15

6) subtract .15 from both sides to get rid of it.

1.95=.30q+.15

-.15            -.15

1.80=.30q

7) divide .30 from both sides to isolate the q and get the answer of quarters

1.80=.30q

/.30 /.30

6=q

8) add three to the number of quarters to get the number of nickels.

6+3=9 nickels

Here we need to create and solve a system of equations to find the number of coins in the piggy bank.

We will see that there are 6 quarters and 9 nickels.

let's define the variables:

x = number of nickels in the piggy bank

y = number of quarters in the piggy bank.

Knowing that the total value of the coins in the piggy bank is $1.95, then we have:

x*$0.05 + y*$0.25 = $1.95

We also know that there are 3 more nickels than quarters, then we also have:

x = y + 3

Then the system of equations is:

x*$0.05 + y*$0.25 = $1.95

x = y + 3

To solve this, we can see that x is isolated in the second equation, so we can replace it in the other equation to get:

(y + 3)*$0.05 + y*$0.25 = $1.95

Now we can solve this for y:

y*$0.05 + 3*$0.05 + y*$0.25 = $1.95

y*$0.30 + $0.15 = $1.95

y*$0.30 = $1.95 - $0.15 = $1.80

y = ($1.80)/($0.30) = 6

So we have 6 quarters.

Then the number of nickels is given by:

x = y + 3 = 6 + 3 = 9

x = 9

There are 9 nickels.

If you want to learn more, you can read:

https://brainly.com/question/20067450

6.5 can be translated to 6 1/2 times 5 3/4 or 5 3/4 can be translated to 5.75 times 6.5 which equals 37.375

Answer:

50

Step-by-step explanation:

when u add all the angles of a triangle the sum should be 180.. so 65+65 is 130... then u have to subtract 130 from 180 which gives the final answer as 50

hope my ans helps

pls give brainlist

be sure to follow me

stay safe

Answer:

y ≈ 242.4 ft

Step-by-step explanation:

The angle on the right of the triangle = 29° ( alternate angle )

Using the sine ratio in the right triangle

sin29° = \(\frac{opposite}{hypotenuse}\) = \(\frac{y}{500}\) ( multiply both sides by 500 )

500 × sin29° = y , then

y ≈ 242.4 ft ( to the nearest tenth )

Answer:

Step-by-step explanation:

The value of the digit "3" in "156.32" is 3/10 (3 tenths). 10 times that value would be 3 (3/10 * 10 = 3). So now we need a number that has the digit "3" in it and the value of that digit is "3".

How about 143.26? The digit "3" is in the ones place and so its value is 3*1 or 3. The rest of the number is just made up, nothing special about any of the other numbers.

The value of digit 3 in 156.32 is 3/10 (3 tenths).

10 times that value would be 3 (3/10 * 10 = 3).

The face value of a digit is the magnitude that it possesses naturally. It is independent of the digit's position in the number.

The place value of a digit depends on its position in the number.

So now we need a number that has the digit 3 in it and the value of that digit is 3.

How about 143.26. The digit 3 is in the one place and so its value is 3*1 or 3.

The rest of the number is just made up, nothing special about any of the other numbers.

To learn more about the value of digits visit:

https://brainly.com/question/1656293

#SPJ2

The probability of winning $3,899 is 0.0001, which is a very small probability, but still possible.

To write the probability distribution for a player's winnings in the Pick 4 game, we need to consider all the possible outcomes and their probabilities.

There are a total of 10,000 possible four-digit numbers that can be drawn in the game. Since the player has to match the numbers in the exact order, there is only one winning combination for each four-digit number. Therefore, the probability of winning is 1/10,000.

To calculate the player's winnings, we need to subtract the $1 cost of playing from the $3,900 prize. Thus, the player's net winnings can be calculated as follows:

Net Winnings = $3,900 - $1 = $3,899

The probability distribution for the player's winnings can be summarized in the following table:

| Winnings (x) | Probability (P) |
|--------------|-----------------|
| $0           | 0.9999          |
| $3,899       | 0.0001          |

Note that the table shows the possible winnings (x) in ascending order, as requested. The probability of winning $0 is 0.9999, which means that the player is most likely to lose their $1 bet.

Know more about probability here:

https://brainly.com/question/30034780

#SPJ11

The given equation 3x^2 - y^2 + z^2 = 0 represents a surface known as an elliptic paraboloid. To sketch this surface using traces, we can fix one variable (either x, y, or z) and vary the other two to observe the resulting curve.

Let's fix x at a constant value of 0. Substituting x = 0 into the equation, we get -y^2 + z^2 = 0. This equation represents a pair of intersecting lines, forming a trace. By varying x and fixing y or z, we can obtain additional traces, which are also pairs of intersecting lines.

Thus, by considering multiple traces, we can sketch the elliptic paraboloid surface, which resembles a bowl or a saddle. The traces consist of intersecting lines that form a grid-like pattern on the surface.

Now, moving on to the second question, we are given two skew lines with parametric equations. To find the distance between these lines, we can use the closest distance formula.

First, we need to find a point on each line. By setting t = 0 in the first line's equations, we find a point (2, 3, 0). Similarly, setting s = 0 in the second line's equations gives us a point (1, 6, -2).

Next, we find the direction vectors for both lines. The direction vector for the first line is <1, 6, 2>, and for the second line is <2, 14, 5>.

Using the closest distance formula, we can calculate the distance between the two lines as follows:

distance = |(2-1, 3-6, 0+2) · (1, 6, 2) x (2, 14, 5)| / |(1, 6, 2) x (2, 14, 5)|

Simplifying this expression will give us the distance between the skew lines.

Please note that the exact calculations are omitted here, but following the steps outlined above will provide the desired distance.

To learn more about elliptic paraboloid, here

brainly.com/question/10992563

#SPJ11

Xavier earns 5.625 dollars per hour to walk the neighbor's dog during the week.

To calculate Xavier's earnings per hour, we divide the total amount earned by the number of hours worked. In this case, Xavier earns $45 for 8 hours of work.

Earnings per hour = Total earnings / Number of hours

Earnings per hour = $45 / 8 hours

By performing the calculation, we find that Xavier earns $5.625 per hour.

This means that for every hour Xavier spends walking the neighbor's dog, he earns approximately $5.625. This calculation allows us to determine Xavier's hourly rate for this particular job.

Earnings per hour is a useful measure as it helps us understand the value of Xavier's time and the compensation he receives for his work. It also provides a benchmark for comparing hourly rates with other jobs or tasks. It's important to note that this calculation assumes Xavier's earnings are consistent and that there are no additional factors, such as taxes or deductions, affecting his overall income.

You can learn more about earnings at:brainly.com/question/4346653

#SPJ11

The value of x on solving the inequality 3/5x + 1/3 < 4/5x - 1/3 is x > 10 / 3.

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. It is most frequently used to compare the sizes of two numbers on the number line.

Given:

3/5x + 1/3 < 4/5x - 1/3

Solve the above inequality as shown below,

Take the variable on the left side and the constant on the right side,

3 / 5x  - 4 / 5x <  - 1/3 -1/3

-1 / 5x < -2 / 3

Multiply both sides by -1,

-1 × -1 / 5 x < -2 / 3 × (-1)

1 / 5 x > 2 / 3  (Inequality sign changes as multiplied by negative terms)

x > 2 / 3 × 5

x > 10 / 3

To know more about inequality:

https://brainly.com/question/2038369

#SPJ1

This is because when both pipes are open, the net rate of filling is the difference between the rate of filling and the rate of emptying, which is V/10 - V/20 = V/20. Therefore, it will take 20 hours to fill the vat.

Let the volume of the vat be V. Then, the rate of filling is V/10 per hour, and the rate of emptying is V/20 per hour. When both pipes are open, the net rate of filling is the difference between the rate of filling and the rate of emptying, which is V/10 - V/20 = V/20. Therefore, the time required to fill the vat is V/(V/20) = 20 hours.

In summary, if a vat can be filled by in 10 hours and it takes 20 hours to empty, the time required to fill the vat with both pipes open is 20 hours. This is because when both pipes are open, the net rate of filling is the difference between the rate of filling and the rate of emptying, which is V/10 - V/20 = V/20. Therefore, it will take 20 hours to fill the vat.

To learn more about volume : brainly.com/question/28058531

#S[PJ11

Finding the factors of a number is important because it gives us information about the number itself and the other numbers it can be divided by evenly. The factors of 216 are 1, 2, 3, 4, 6, 9, 18, 27, 54, and 216.

Factors are numbers that divide into another number evenly, without leaving a remainder. The factors of a number give us information about the number itself and what other numbers it can be divided by. In this case, we'll find the factors of 216.

To find the factors of a number, we divide the number by other numbers until we can't divide any further. The numbers we used to divide are the factors of the original number. For example, to find the factors of 216, we could start with 2, which divides into 216 evenly. We then divide 216 by 2, giving us 108. We can then continue dividing by 2, which will give us 54, 27, and so on. We can stop when we reach a number that can't be divided evenly anymore. In this case, the factors of 216 are 1, 2, 3, 4, 6, 9, 18, 27, 54, and 216. These are all the numbers that can divide into 216 evenly, without leaving a remainder. It's important to note that factors come in pairs. For example, if 9 is a factor of 216, then its pair is 216 divided by 9, which is 24. If we list the factors in order, we can see that they come in pairs like this: (1, 216), (2, 108), (3, 72), (4, 54), (6, 36), (9, 24), and so on. This pattern is true for all numbers, not just 216.

For more such questions on Factors.

https://brainly.com/question/2058395#

#SPJ11

Answer:

1 PM

Step-by-step explanation:

Find the least common multiple of 36 and 45 to get the next time they are equal

Factorize

36 = 2 * 2 * 3 * 3

45 = 3 * 3 * 5

Multiply for LCM

LCM(36, 45) = 2 * 2 * 3 * 3 * 5 = 180 minutes = 3 hours

Add 3 hours to 10 AM

10 AM + 3 hours =  1 PM

The key underlying assumption of the single index model is that the return of a security can be explained by the return of a broad market index.

This assumption forms the basis of the single index model, also known as the market model or the capital asset pricing model (CAPM).

In this model, the return of a security is expressed as a function of the return of the market index. The single index model assumes that the relationship between the returns of a security and the market index is linear.

It suggests that the risk and return of a security can be explained by its exposure to systematic risk, which is represented by the market index.

The single index model assumes that the return of a security can be decomposed into two components: systematic risk and idiosyncratic risk.

Systematic risk refers to the risk that cannot be diversified away, as it affects the entire market. Idiosyncratic risk, on the other hand, is the risk that is specific to a particular security and can be diversified away by holding a well-diversified portfolio.

The single index model assumes that the systematic risk is the only risk that investors should be compensated for, as idiosyncratic risk can be eliminated through diversification.

It suggests that the expected return of a security is determined by its beta, which measures its sensitivity to the market index. A security with a higher beta is expected to have a higher return, as it is more sensitive to market movements.

To know more about capital asset pricing model click on below link:

https://brainly.com/question/33539143#

#SPJ11

Answer:

Look below.

Step-by-step explanation:

As 3/2 is the multiplicative inverse (reciprocal) of 2/3, multiply 3/2 to both sides.

6 = 2/3p                            Write the original equation.

6 · 3/2 = 2/3 · 3/2 · p       Multiply the reciprocal of 2/3 (3/2) to both sides.

18/2 = p                            Simplify.

p = 9                                 Simplify.

Answer:

Your Answer is w =3

Step-by-step explanation:

Hope this helps

It will take the town 21 years 4 months to reach 4600 in population

a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.

initial population = 3000

population increase every year = 2.5% of 3000

which is 2.5/100 x 3000 = 75

let the time taken to reach 4600 be d

increment for d number of years = 75d

Total population after d years is 75d + 3000

so 75d + 3000 = 4600

75d = 4600  - 3000

75d = 1600

d = 1600/75

d = 21.33 years which is 21 years 4 months

In conclusion 21 years 4 months is the time taken for the ton tto get tto 4600

Learn more about rate: https://brainly.com/question/24304697

#SPJ1

Assuming a roughly even distribution of birthdays throughout the year, we can estimate that approximately 1/365th of students (or 0.27%) were born on January 1st.

For more such question on distribution

https://brainly.com/question/4079902

#SPJ11

Joan should run 13 times around the park to complete her goal.

Given that, Joan wants to jog in a circular track which 1/4 mile in diameter.

We need to find the circumference of the track and the number of rounds she needs run to complete her goal.

So,

Circumference = π × diameter

= 3.14 × 1/4 = 0.785 miles

Let she runs x rounds to complete her goal,

So,

0.785x = 10

x = 12.73

x ≈ 13

Hence, Joan should run 13 times around the park to complete her goal.

Learn more about circles, click;

https://brainly.com/question/29142813

#SPJ1

Answer:

2x-2

Step-by-step explanation:

please lmk if im wrong or not

Answer:

y = -½x + 4

Step-by-step explanation:

Equation of any line in slope-intercept form is y = mx + b, where,

m = slope = change in y/change in x

b = y-intercept = the point on the y-axis intercepted by the line.

Let's find m and b.

✔️Using two points on the line, (0, 4) and (2, 3),

Slope (m) = change in y/change in x = (3 - 4)/(2 - 0)

m = -1/2 = -½

✔️The line intercepts the y-axis at y = 4.

Therefore,

b = 4

✔️To write the equation of the line, substitute m = -½ and b = 4 into y = mx + b.

Thus,

y = -½x + 4

When a $189 is decreased by  38%, the result is $117.18.

Percentage is defined as the proportion of a whole as a fraction of 100. It is most commonly used to compare quantities.

38%  can be written as 0.38 in decimals.

New Value = Original Value - (Original Value \(\times\) Percentage)

Given that:

Original Value = $189

Percentage = 38%

New Value = Original Value - (Original Value * Percentage)

Substitute the given value in the given formula:

New Value = $189 - ($189 \(\times\) 0.38)

New Value  = $189 - $71.82

                       = $117.18

The result is $117.18 when rounding to two decimal places.

Learn more about percentage here :

https://brainly.com/question/12948737

#SPJ4

Answer:

C.Tammy’s estimate is right, but the actual product should be 24.78.

Step-by-step explanation:

i took the assessment! thank you for your attention and i hope i helped!!

Answer:

the answer is C which is Tammy’s estimate is right, but the actual product should be 24.78.

Step-by-step explanation:

Answer:

Step-by-step explanation: {  

h=x−  

k

z

​

,  

​

k

=0

z=0 and k=0

​

x

=h

z=0 and x=h

​

z=(x−h)k

z=(x−h)k

Use the distributive property to multiply x−h by k.

z=xk−hk

Swap sides so that all variable terms are on the left hand side.

xk−hk=z

Subtract xk from both sides.

−hk=z−xk

The equation is in standard form.

(−k)h=z−kx

Divide both sides by −k.

−k

(−k)h

​

=  

−k

z−kx

​

Dividing by −k undoes the multiplication by −k.

h=  

−k

z−kx

​

Divide z−xk by −k.

h=x−  

k

z

​

The values of the expressions are P 9, 3 = 504, C 9, 3 = 84, P 8, 8 = 40320 and C 9, 9 = 1

From the question, we have the following parameters that can be used in our computation:

(A) P9, 3. (B) C9, 3. (C) P8, 8. (D) C9, 9.

The above expressions are permutation and combination expressions

Using the above as a guide, we have

Expression (A) P9, 3

Apply the permutation formula

P n, r = n!/(n - r)!r!

So, we have

P 9, 3 = 9!/6!

Evaluate

P 9, 3 = 504

Expression (B) C 9, 3

Apply the combination formula

C n, r = n!/(n - r)!r!

So, we have

C 9, 3 = 9!/(6! * 3!)

Evaluate

C 9, 3 = 84

Expression (C) P8, 8

Apply the permutation formula

P n, r = n!/(n - r)!r!

So, we have

P 8, 8 = 8!/0!

Evaluate

P 8, 8 = 40320

Expression (D) C 9, 9

Apply the combination formula

C n, r = n!/(n - r)!r!

So, we have

C 9, 9 = 9!/(9! * 0!)

Evaluate

C 9, 9 = 1

Read more about permutation and combination at

brainly.com/question/11732255

#SPJ1

Answer:

perp. just switch from -2/5 to positive 5/2

Step-by-step explanation:

Answer:

m2 =5/2

Step-by-step explanation:

m1=-1/m2

m2=-1/m1

y=-2/5x-10

m1=-2/5

m2= -1/-2/5

m2=5/2

y=5/2x-10 ⊥ y=-2/5x-10

Answer:

3 miles

Step-by-step explanation:

Since the x coordinates are the same, we only need to find the distance between the y coordinates

-3 - -6

-3 +6

3 units

Each unit is 1 mile

3 units * 1 miles / 1 unit =  3 miles