Bristol's credit card has a 30.99% APR, a minimum monthly payment of 3.5%, and a current statement balance of $4,186.19. She spends $750.00 in purchases and makes the current minimum monthly payment of $146.52. What will be Bristol's next minimum monthly payment?
a)$123.69
b)$145.50
c)$167.64
d)$171.97

Answers

Answer 1

Bristol's next minimum monthly payment is $171.97

How was the minimum monthly payment of $146.52 computed?

The minimum monthly payment of $146.52 was computed from the current statement balance as 3.5% of $4,186.19

minimum monthly payment=$4,186.19*3.5%

minimum monthly payment=$146.52

The balance at the beginning next month is current statement balance minus the minimum monthly payment plus purchases of $750.00 and the interest for the month

beginning balance next month before interest=($4,186.19-$146.52)+ $750.00

beginning balance next month before interest=$4,789.67

beginning balance next month after interest=$4,789.67*(1+30.99%/12)

beginning balance next month after interest=$4,913.36

Bristol's next minimum monthly payment=3.5%*$4,913.36

Bristol's next minimum monthly payment=$ 171.97

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Related Questions

A (-2,y) B (4,-6), gradient: -1/6
Find y using the cross-multiply method

Answers

Key IdeasFinding a coordinate point given the gradient/slopeCross multiplicationSlope equation

We use the slope equation to solve for the slope/gradient of a line:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

m = the slope[tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are two points that fall on the line

Solving the Question

We're given:

A (-2,y)B (4,-6)Gradient = [tex]-\dfrac{1}{6}[/tex]

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Plug in the given information:

[tex]-\dfrac{1}{6}=\dfrac{-6-y}{4-(-2)}\\\\-\dfrac{1}{6}=\dfrac{-6-y}{4+2}\\\\-\dfrac{1}{6}=\dfrac{-6-y}{6}[/tex]

Cross multiply (by multiplying the numerators by the opposite denominators):

[tex]-\dfrac{1}{6}=\dfrac{-6-y}{6}\\\\-1\times 6=6(-6-y)\\-6=-36-6y\\30=-6y\\y=-5[/tex]

Answer

y = -5

How do i do this? ive been working on it for a long time

Answers

Answer is 157.5 degrees

Step by step

First find the dilation or rate of change from pre image to image

3/8 to 9/16 = rate of change

Image / pre image

9/16 divided by 3/8

To divide fractions flip the divisor and multiply

9/16 x 8/3 = 72/48 = simplified = 3/2


So the same rate will apply to the angle pre image to image

3/2 x 105 = 157.5 degrees

suppose you won $15 on a lotto ticket at the local 7-eleven and decided to spend all the winnings on candy bars and bags of peanuts. candy bars cost $0.75 each while bags of peanuts cost $1.50 each.

Answers

The slope of a line is defined as the ratio of the difference between the y-coordinate and x-coordinate of the two points m= y₂-y₁/x₂-x₁

We have total spending = $15

So the equation of the budget line will be

PсQс+ PрQр = 15

Where, Pс and Qс is the price of unit candy and quantity of candy respectively. Pр and Qр is the price of unit peanuts and quantity of peanuts respectively.

Part A:Goods A B C D E F Candy Bars 0 4 8 12 16 20Bag of peanuts 10 8 6 4 2 0

Part B :Graph of Budget line

Budget line The slope of a budget is -2 i.e ratio of the prices.

Opportunity costs remain constant as each additional unit of the product is purchased.

The opportunity cost of one more candy bar is 0.5 bags of peanuts.

The opportunity costs of one more bag of peanuts are 2 candy bars.

Part C: No, it tells only what is possible.

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what number has 7 in tens and thousandths places,2 in the hundredths ,tenths and ones places , and 6 in the hundredths place? ​

Answers

The correct answer for the following question is [tex]672.227[/tex]

As per the question statement, we have to find a number that has 7 in tens and thousandths places, 2 in the hundredths, tenths and ones places and 6 in the hundreds place.

Before solving this question, we need to know about decimal place values and its operations.

Solving as per given statements,

7 in tens place, [tex]7*10=70[/tex]

7 in thousandths place, [tex]7*\frac{1}{1000} =0.007[/tex]

2 in hundredths place, [tex]2*\frac{1}{100} =0.02[/tex]

2 in tenths place, [tex]2*\frac{1}{10} =0.2[/tex]

2 in ones place, [tex]2*1=2[/tex]

6 in hundreds place, [tex]6*100=600[/tex]

Adding the above values and we will get 672.227

Decimal place values: Place value provides the information of the value of each digit in any given number. Like tenths or tens, hundredths, thousands etc.

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The sum of 3 consecutive positive integers is 9 less than the product of the largest and smallest of the same 3 integers.
What is the smallest of these 3 integers?

Answers

The smallest integer is 4.

How to calculate the value?

Let the numbers be x, x+1 and.x + 2.

Therefore, the expression will be:

x + x + 1 + x + 2 = x(x + 2) - 9

3x + 3 = x² + 2x - 9

Collect like terms

x² + 2x - 9 - 3x - 3

x² - x - 12 = 0

x² -4x + 3x - 12

x(x - 4) + 3(x - 4)

x - 4 = 0

x = 0 + 4 = 4

The smallest number is 4.

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Marina mixed almonds and walnuts to take on her camping trip. Almonds cost $3.00 per pound and walnuts cost $4.20 per pound. If she ended up with three pounds of a mixture that costs $3.36 per pound, how many pounds of each kind of nut did she use?

Answers

Out of mixture of 3 pounds with cost $3.36 per pound ,pounds each kind of nuts used by Marina are almonds 2.1 and walnuts 0.9 pounds.

As given,

Cost per pound

Almonds=$3.00

Walnuts=$4.20

Total mixture=3 pounds

Cost of mixture=$ 3.36 per pound

Let x amount of almonds and y walnuts Marina use

According to condition,

x +y=3                           __(1)

3x +4.20y =3 ×3.36     __(2)

Multiply 3 to (1) and subtract from (2)

3x +4.20y=10.08

3x +3y= 9

      1.2y=1.08

⇒y=0.9

Substitute y=0.9 in (1),

x=2.1

Therefore, pounds of each kind of nuts used by Marina are almonds 2.1 and walnuts 0.9 pounds.

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ax + by = 12

2x + 8y = 60


In the system of equations above, a and b are constants. If the system has infinitely many solutions, what is the value of a/b
?

Answers

Answer:

1/4

Step-by-step explanation:

If the system has infinitely many solutions, then

     [tex]\sf \boxed{\bf \dfrac{a_1}{b_1}= \dfrac{a_2}{b_2}= \dfrac{c_1}{c_2}}[/tex]

    ax + by = 12  ⇒ a₁ = a  ; b₁ = b ; c₁ = 12

    2x + 8y =60  ⇒ a₂ = 2  ; b₂ = 8 ; c₂ = 60

[tex]\sf \dfrac{a}{2}= \dfrac{b}{8}= \dfrac{12}{60}\\\\\\ \dfrac{a}{2}= \dfrac{12}{60}\\\\a = \dfrac{12}{60}*2\\\\a = \dfrac{2}{5}[/tex]

                         [tex]\sf \dfrac{b}{8}= \dfrac{12}{60}\\\\ b = \dfrac{12}{60}*8\\\\b = \dfrac{8}{5}\\[/tex]

[tex]\sf \dfrac{a}{b}= \dfrac{ \dfrac{2}{5}}{ \dfrac{8}{5}}\\\\[/tex]

    [tex]\sf = \dfrac{2}{5}* \dfrac{5}{8}\\\\ = \dfrac{1}{4}[/tex]

     

whats an equivalent expression to 3(x+5)

Answers

Answer:

3x+15

Multiply the single term 33 by each term of the polynomial (x+5)

3x+15

The diagram below shows part of the graph of the equation y=[tex]2x^{2}+ax+b.[/tex] the graph intersects the x-axis at the points [tex](-\frac{7}{2}, 0) and (2,0)[/tex]. Find the value of a and the value of b

Answers

The value of a is 3.

The value of b is -14.

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

The function of the graph is,

y = 2x² + ax + b

The graph intersects the x-axis at the points (-7/2, 0) and (2, 0).

Now,

Since, The graph intersects the x-axis at the points (-7/2, 0) and (2, 0).

Hence, The points must satisfy the graph of the function.

So, Points (-7/2, 0) and (2, 0) are satisfy the function y = 2x² + ax + b.

When point (-7/2, 0) satisfy the function y = 2x² + ax + b

Then,

0 = 2 × (-7/2)² + a × (-7/2) + b

0 = 49/2 - 7a/2 + b

7a/2 - b = 49/2 .... (i)

And, When point (2, 0) satisfy the function y = 2x² + ax + b

Then,

0 = 2 × (2)² + a×2 + b

2a + b = -8    .... (ii)

Add equation (i) and (ii) we get;

7a/2 - b + 2a - b = 49/2 + (-8)

11a/2 = 33/2

11a = 33

a = 3

And, 2a + b = -8

2 × 3 + b = -8

b = -8 - 6

b = -14

Hence, The value of a is 3.

The value of b is -14.

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The graph of f(x) = x has been horizontally shrunk by a factor of 4. If no other transformations of the function have occurred, which point lies on the new graph?

(–1, –4)
(–4, –1)
(1, StartFraction one-fourth EndFraction )
(1, negative StartFraction one-fourth EndFraction )

Answers

Using translation concepts, the point that lies on the new graph is given by: (-1, -4).

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The equivalent translation to an horizontal shrink by a factor of a a function f(x) is given by:

f(ax).

Hence, in this problem, for the horizontal shrink by a factor of 4, the function will be given by:

g(x) = f(4x) = 4x.

Then when x = -1, the output is given by:

g(-1) = 4(-1) = -4.

The point that lies on the new graph is given by: (-1, -4).

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Factorize the following completely

1. 4p+2pr+6pz
2. ax + bx + cx

Answers

Answer:

1. 2p(2 + r + 3z)

2. x(a + b + c)

Step-by-step explanation:

1. The greatest common factor is 2p.

4p+2pr+6pz = 2p(2 + r + 3z)

2. The greatest common factor is x.

ax + bx + cx = x(a + b + c)

what would be the cost of renting 2 lawn mowers for 5 hours?

Answers

Answer:

35 dollars

Step-by-step explanation:

thats the answer

The midpoint of \overline{\text{AB}} AB is M(2, -2)M(2,−2). If the coordinates of AA are (-2, 1)(−2,1), what are the coordinates of BB?

Answers

The coordinate of point B from the given coordinates is (6, -9)

Midpoint of a coordinate

The formula for calculating the midpoint of coordinates is expressed according to the formula:

M(x, y) = {(x₁+x₂)/2, (y₁+y₂)/2}

Given the coordinate points M (2, -2) and A (-2, 1)

Substitute

2 = (x₁+x₂)/2

2 = -2+x₂/2

4 = -2 + x₂

x₂ = 6

Similarly;

Substitute

-2 = (1+y₂)/2

-4 = 1+x₂/2

-8 = 1 + y₂

y₂ = -9

Hence the coordinate of point B from the given coordinates is (6, -9)

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Answer:(6,-5)

Step-by-step explanation:deta math

Mia completed the chart by first estimating the measurement around three objects in her house and then finding the actual measurement with her meter strip. What is the difference between the longest and shortest measurement

Answers

Using the subtraction between two amounts, it is found that:

The difference between the longest and shortest measurement is of 33 cm.

What are the measurements?

The measurements are given as follows:

Orange: 36 cm.Mini Basketball: 41 cm.Bottom of a glue bottle: 8 cm.

How to find the difference between the longest and shortest measurement?

To find the difference between difference between the longest and shortest measurement, we have to subtracted the longest measurement by the shortest measures.

From the measurements given, we have that:

The longest measurement is of 41 cm, as 41 > 33 and 41 > 8.The shortest measurement is of 8 cm, as 8 < 33 and 8 < 41.

Hence, the subtraction is given as follows:

41 cm - 8 cm = 33 cm.

The difference between the longest and shortest measurement is of 33 cm.

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ou have a tv that is 30 inches tall and 40 inches wide. what is the length of the diagonal of the tv.

Answers

The length of the diagonal of the TV is 50 inches

Given that the TV is 30 inches tall and 40 inches wide.

So length of the TV, l = 30 inches

and Width of the TV = 40 inches

The angle between the length and width of the TV is right angle. So we can use Pythagoras Law here.

That is, square of the hypotenuse is equal to the sum of the squares of the base and altitude of the right triangle.

i.e., If 'd' is the diagonal of the TV, then,

    [tex]d^2 = l^2 +b^2 = 30^2+40^2 = 2500[/tex]

This implies that  [tex]d=\sqrt{2500}=50[/tex] inches.

So the diagonal of the TV is 50 inches long.

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Answer:

50 inches

Step-by-step explanation:

Hope this helps

Find the rule. _____, -9, ______, 3, 9 ...

Answers

The rule of arithmetic progression is -15, -9, - 3, 3, 9, 15.

What do w mean by Arithmetic progression?An arithmetic progression is a sequence of numbers that has a fixed common difference between any two consecutive numbers (A.P.). A.P.'s example is 3,6,9,12,15,18,21,...

So, to find the rule:

Given:  _____, -9, ______, 3, 9Then, 9 - 3 = 6So, the difference is 6.

Therefore, the rule is -15, -9, - 3, 3, 9, 15.

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Solve the equation for x.
2(x+5)+5=6x-4(-5+x)

Answers

Answer:

No solution.

Step-by-step explanation:

Simplify the equation.

2(x + 5) + 5 = 6x - 4(-5 + x)           {Use distributive property}

2*x + 2*5 + 5 = 6x - 4*(-5) + (-4) * x

2x + 10 + 5    = 6x + 20 - 4x      

  2x + 10 + 5 = 6x - 4x + 20  {Combine like terms}

        2x + 15 = 2x  + 20

                This equation has no solution.

4 ten thousand 9 thousands divided by 10

Answers

Answer:

Step-by-step explanation:

49000/ 10 = 4900

3(3x+5)-4x+5= -15 solve for x

Answers

Answer:

x = -7

Step-by-step explanation:

Solve for x:

5 - 4 x + 3 (3 x + 5) = -15

3 (3 x + 5) = 9 x + 15:

(9 x + 15) - 4 x + 5 = -15

Grouping like terms, 9 x - 4 x + 5 + 15 = (-4 x + 9 x) + (5 + 15):

((-4 x + 9 x) + (5 + 15)) = -15

9 x - 4 x = 5 x:

5 x + (5 + 15) = -15

5 + 15 = 20:

5 x + 20 = -15

Subtract 20 from both sides:

5 x + (20 - 20) = -20 - 15

20 - 20 = 0:

5 x = -20 - 15

-20 - 15 = -35:

5 x = -35

Divide both sides of 5 x = -35 by 5:

(5 x)/5 = (-35)/5

5/5 = 1:

x = (-35)/5

The gcd of -35 and 5 is 5, so (-35)/5 = (5 (-7))/(5×1) = 5/5×-7 = -7:

Answer: x = -7

Answer:

x = -7

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

Hope this helps!

Have a great day and God bless! :)

Type the expression that results from the following series of steps:
Start with
g
, times by 7, then subtract
f

Answers

G•7-f or (g)7-f should be right

Rent controls are best illustrated by:

Answers

Answer:

E

Step-by-step explanation:

Question 4
Find the values of x, y and z.
100⁰ X
B..
y
N

Answers

Answer:

y=x=70

hope this helps

Step-by-step explanation:

In parallelogram the adjacent angles are supplementary

∠TBE+y=180

110+y=180

y=70

Also, opposite angles of a parallelogram are equal.

z=∠TSE=110

y=x=70

Simplify expressions with distribution
4(5y + 2z) + 8z - 4(5z - 2y)

Answers

Answer:

28y - 4z

Step-by-step explanation:

Hey there!

In order to simplify this, we need to first distribute the numbers outside of the parentheses to the numbers inside the parentheses:

20y + 8z + 8z - 20z + 8y

Now we combine like terms:

28y - 4z

select the correct answer from each drop-down menu. determine the number and type of solutions for the following quadratic equations using the discriminant. equation number and type of solutions

Answers

Equation [tex]y=x^{2} +7x-11[/tex] has two real solutions.

Here are the coefficients:  a=1,b=7,c=11

The discriminating party is: [tex]7^{2}[/tex] -4(1)(-11)=93

Positive, so there are two viable options.

According to the discriminant:

[tex]y=-3x^{2} +x+12[/tex] has two real solutions.

[tex]y=2x^{2} -6x+5[/tex] has zero real solutions.

[tex]y=x^{2} +7x-11[/tex] has two real solutions.

[tex]y=-x^{2} -8x-16[/tex] has one real solution.

What are the benefits of discriminant equation ?

Quadratic functions occupy a special place in the academic curriculum. They are small improvements over linear functions and offer a major break from attachment to straight lines because their values may be readily derived from input values.

The discriminant informs you of the number of quadratic equation solutions or x intercepts for a parabola.

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if -16 is added to a number and the sum is doubled, the result is 1 less than the number. find the number.

Answers

The unknown number will be 31, if -16 is added to it and the sum is doubled, the result is 1 less than the number.

Let the unkown number be x.

Now according to the given question.

If -16 is added to the unknown number and the sum is doubled, the result is 1 less than the number.

⇒  (x + (-16))2 = x - 1

⇒ 2x - 32 = x - 1

⇒ 2x - x = -1 + 32

⇒ x = 31

Hence, the unknown number will be 31, if if -16 is added to it and the sum is doubled, the result is 1 less than the number.

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I need help 15/4+(-4/1/3

Answers

The expression is simplified to -33/4

What are fractions?

Fractions are simply defined as the part of a whole set.

There are different types of fractions, which includes;

Mixed fractionsProper fractionsImproper fractionsSimple fractionsComplex fractions

Given the expression;

15/4+(-4/1/3)

To simply the expression, we need to take the following steps;

First, we need to expand the bracket, we have;

15/ 4 - 4/ 1/ 3

Now, take the inverse of the divisor and multiply

15/ 4 - 4 × 3/ 1

15/ 4 - 12

Find the lowest common multiple

15 -  48/4

-33/4

Thus, the expression is simplified to -33/4

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helpp this is due tomorrow and i don’t understand it

Answers

Answer:

Step-by-step explanation:

Not Sure

Area of PNQ + Area of LPQ = Area of LQM

Area of LQM = 8cm² + 16cm²

Area of LQM = 24cm²

The Difference of twice a number(n) and 7 is 9

Answers

The algebraic expression of the statement is 2n - 7 = 9

How to write as an expression?

The mathematical statement is given as;

The Difference of twice a number(n) and 7 is 9

Twice a number n means 2n

So, we have

The Difference of 2n and 7 is 9

Difference means minus

So, we have

2n - 7 = 9

Hence, the algebraic expression of the statement is 2n - 7 = 9

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g(x)=4x^2-3x+5, g(x) - g(2)

Solve the question.

Answers

f

(

4

x

2

5

)

=

12

x

2

20

Step-by-step explanation:

27040 in scientific notation

Answers

27,040 written in scientific notation is 2.704 × 104
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