Solve the problem using the previous balance method.

The account balance on April 1st is $60.15.
On April 15th a payment of $51.00 is made.
On April 25th a purchase of $91.27 is made.
What is the finance charge if the annual rate is 18%?
What is the new account balance?

Finance charge = $ ____

New balance = $ ____

Answers

Answer 1

Annual Percent Rate (APR) = 18%

Rate during the current billing cycle = 18/12 = 1.5%

Balance at the beginning of the billing cycle = 60.15

Payment   51.00

Balance                                                                 10.15

Purchase 91.27        

Balance                                                                - 81.12

Finance Charge 60.15 * 0.015 =                             0.90

New Balance                                                       - 82.02


Related Questions

Pls help two geometry questions attached.

Answers

Answer:

the answer is D and A hope this helps



B and D

under a counterclockwise rotation about the origin of 270°

a point (x, y ) → (y, - x )

A(5, 4 ) → A'(4, - 5 )

B(6, 9 ) → B'(9, - 6 )

C(2, 8 ) → C'(8, - 2 )

These points correspond to the coordinates in the diagram → B

under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x )

A(- 1, 2 ) → A'(- 2, - 1 )

B(-1, 5 ) → B'(- 5, - 1 )

C(- 3, 5 ) → C'(- 5, - 3 )

D(- 3, 2 ) → D'(- 2, - 3 )

These points correspond to the coordinates in the diagram → D



Simplify the expression where possible. (-4x 2) 2

Answers

Answer: 16x^4

Step-by-step explanation:

With this diagram, what could be the values of m and n (Picture)?

Answers

Answer:

m=-3/8, n=12

Step-by-step explanation:

Answer: m=-3/8, n=12

Step-by-step explanation: Got it right on TTM

Q#..12 anybody help me?

Answers

Answer: First option. x-intercept is -5; y-intercept is -7/4

Solution:

1) To find the x-intercept we replace y by 0, and solve for x:

-(7/5)x-4y=7

-(7/5)x-4(0)=7

-(7/5)x-0=7

-(7/5)x=7

Multiplying both sides of the equation by -(5/7)

-( 5/7)[-(7/5)]x=-(5/7)(7)

x=-(5*7)/7

x=-35/7

x=-5

The x-intercept is -5

2) To find the y-intercept we replace x by 0, and solve for y:

-(7/5)x-4y=7

-(7/5)(0)-4y=7

-0-4y=7

-4y=7

Dividing both sides of the equation by -4:

-4y/(-4)=7/(-4)

y=-(7/4)

The y-intercept is -(7/4)

HELP PLEASE! EASY POINTS!

For which pair of lines are ∠1 and ∠2 alternate interior angles if d is the transversal?
a and b
b and c
c and d
d and a

Answers

Angles 1 and 2 involve lines a, b, and d. If d is the transversal, then the only pair left out of those three lines is a and b.

_____

Angles 1 and 2 are between lines a and b (interior), and either side of line d (alternate), so meet the requirements to be called alternate interior angles.

Answer:

ITS A AND B

Step-by-step explanation:

Mr. Marquis had a metal pipe that was 1,000 cm in length. He cut the pipe into 16 shorter pieces of equal length. How long was each piece?

Answers

This would mean 1000cm of pipe is distributed across 16 cuts, or 1000/16. This equals 62.5, or that each piece would be 62.5 centimeters long.

To answer this, divide 1000 cm by 16:

1000 cm

------------------ = 66 2/3 cm per piece

  16 pieces

given sin theta = 2/5 and 0 theta 90 find sin 2 theta

Answers

Given:  sin theta = 2/5.  This tells us that the lengths of the opp side and the hyp are 2 and 5 respectively.  The adj side is found using the Pyth. Thm.:  5^2-2^2= 25-4 = 21, so that the adj side is sqrt(21).

The double angle formula for the sine is sin 2theta = 2 sin theta *cos theta.

In this particular problem, the sine of 2theta is 2*(2/5)*[sqrt(21) / 5], or:

                                                                              (4/25)*sqrt(21).

Answer:

The value of [tex]\sin^2 \theta=\frac{4}{25}[/tex]                                                                            

Step-by-step explanation:

Given : [tex]\sin \thet=\frac{2}{5}[/tex] and  [tex]0<\theta<90[/tex]

To find : The value of [tex]\sin^2\theta[/tex] ?

Solution :

We have given the value of [tex]\sin \thet=\frac{2}{5}[/tex] and  [tex]0<\theta<90[/tex]

To find [tex]\sin^2\theta[/tex] we just have to square [tex]\sin\theta[/tex]

[tex]\sin \theta=\frac{2}{5}[/tex]

Squaring both sides,

[tex](\sin \theta)^2=(\frac{2}{5})^2[/tex]

[tex]\sin^2 \theta=\frac{4}{25}[/tex]

Therefore, The value of [tex]\sin^2 \theta=\frac{4}{25}[/tex]

One number is 11 more than twice another number. If the sum of the numbers is twice their difference, find the numbers.

Answers

Answer: 33 and 11

Step-by-step explanation: Both 11 and 33 would be the answr because 11 by the 2wice would be 33, and also 11 it's self would be the answer.


The numbers are x = 33 and y = 11 respectively.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is that one number is 11 more than twice another number and the sum of the numbers is twice their difference

Assume that the numbers are (x) and (y). Then, we can the model the equation as follows -

x = 2y + 11

x + y = 2(x - y)

Simplifying the equations, we can write -

x + y = 2(x - y)

x + y = 2x - 2y

2x - x - 2y - y = 0

x - 3y = 0

y = x/3

Put y = x/3 in x = 2y + 11, we get -

x = 2x/3 + 11

x - 2x/3 = 11

x/3 = 11

x = 33

then y = 33/3 = 11

Therefore, the numbers are x = 33 and y = 11 respectively.

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Helpppppppppppppppp pleaseeeeeeeeeeeee
Factor. 9x^2+27x+45

Answers

9x^2 + 27x + 18 . hope i helped

The factors of the quadratic equation are (-3 - √11i) and (-3 + √11i).

What is a quadratic equation?

A quadratic equation is an algebraic equation of degree 2.

Given a quadratic equation 9x² + 27x + 45 = 0.

We know simplifying a quadratic equation doesn't change the roots of the equation.

∴ We can divide each of the terms by 9 which makes the quadratic equation x² + 3x + 5 = 0.

Now two numbers which multiplied to 5 and add to 3 are not possible for  real numbers, therefore, the roots must be imaginary.

We know Sridhar Acharya's formula which is [tex]\frac{ - b \pm\sqrt{b^2 - 4ac}}{2a}[/tex].

[tex]= \frac{ - 3 \pm\sqrt{3^2 - 4.1.5}}{2.1}[/tex].

[tex]= \frac{ - 3 \pm\sqrt{9 - 20}}{2}[/tex].

[tex]= \frac{ - 3 \pm\sqrt{-11}}{2}[/tex].

[tex]= \frac{ - 3 \pm\sqrt{11}i}{2}[/tex].

Therefore the factors of the quadratic equation are

(-3 - √11i) and (-3 + √11i).

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The fair market rental rate for Fort Wayne was $611 in 2011 and $567 in 2005. Find the unit rate of change for rent in Fort Wayne during this period

Answers

If you assume the rental cost changes in a linear fashion, the change over 6 years was $44. The "unit rate of change" is then $44/(6 years) ≈ $7.33/year.

Which expression is equivalent to 2^ 2 x 2/2^ 4

a:2^ -2
b: 2^ -1
c: 2^ 6
d: 2^ 7

(Please show work!! (: )

Answers

(b)

using the 'laws of exponents '

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]

2² × [tex]\frac{2}{2^{4} }[/tex] = [tex]\frac{2^{3} }{2^{4} }[/tex] = [tex]2^{(3-4)}[/tex] = [tex]2^{-1}[/tex]




Lena is making two dishes for an event. Each batch of her and cheese recipe calls for 6 ounces of cheese and 2 tablespoons of basil. For every two pizzas she needs 16 ounces of cheese and 5 tablespoons of basil. Lena buys 32 oz package of cheese. Does she have enough to make 2 batches of Mac and cheese and 3 pizzas

Answers

Answer: No, it is not enough to make 2 batches of Mac and cheese and 3 pizzas.

Step-by-step explanation:

Since we have given that

She needed 6 ounces of cheese and 2 tablespoons of basil for each batch of her Mac and cheese.

Now,

For every two pizzas she needed 16 ounces of cheese and 5 tablespoons of basil.

So, for 2 batches of Mac and cheese she needed = 12 ounces of cheese

and if for 2 pizzas she needed = 16 ounces of cheese

For 1 pizza she needed = 8 ounces of cheese

For 3 pizza she needed = 8× 3=24 ounces of cheese

Total requirement of cheese = 24+ 12=36 ounces

But she only buys 32 ounces package of cheese .

So, it is not enough to make 2 batches of Mac and cheese and 3 pizzas and 4 ounces is still needed i.e.

36-32 =4 ounces .


Lena bought a 32 oz package of cheese, and since 60 ounces is greater than 32 ounces, she does not have enough cheese to make 2 batches of Mac and cheese and 3 pizzas with her current supply.

What is the cheese recipe

If Lena has enough cheese to make 2 batches of Mac and cheese and 3 pizzas.

Each batch of Mac and cheese requires 6 ounces of cheese, and she wants to make 2 batches,

so that's 6 ounces * 2

= 12

Each pizza requires 16 ounces of cheese, and she wants to make 3 pizzas,

so that's 16 ounces * 3

= 48

In total, for the Mac and cheese and the pizzas,

Lena needs 12 ounces + 48 ounces

= 60 ounces of cheese.

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1. What is the algebraic expression for the following word phrase: the product of 6 and n

A. 6 - N
B. 6 + N
C. 6N
D. N/6

2. What is the algebraic expression for the following word phrase: the quotient of 6 and the sum of x and y

A. 6/x-y
B. 6/x+y
C. 6(x+y)
D. 6/x + 6y

3. What is the algebraic expression for the following word phrase: the quotient of z and 3?

A. Z/3
B. Z+3
C. 3z
D. 3-Z

Will mark brainliest for correct answers :D

Answers

Answer:

The answers would be

1. C

2. B

3. A

Step-by-step explanation:

The term product refers to multiplication. So in question 1, when we see the term quotient, we are looking to multiply.

The term quotient refers to division. So in questions 2 and 3, when we see this term, we look to divide.

Answer:

C. [tex]6n[/tex]

B. [tex]\frac{6}{(x+y)}[/tex]

A. [tex]\frac{Z}{3}[/tex]

Step-by-step explanation:

1. This expression refers to the product operation between real numbers, therefore the correct algebraic form is [tex]6n[/tex]

2. This expression refers to the operation division between real numbers, therefore the correct algebraic form is [tex]\frac{6}{(x+y)}[/tex]

3. This expression refers to the operation division between real numbers, therefore the correct algebraic form is [tex]\frac{Z}{3}[/tex]

Please Help ASAP 20 points Find the slope of the line through the given points. (−1, 2) and (−5,10) (1,3) and (0,−9) (18, 6) and (−7, 7) (−7, 10 ) and (1, 10)

Answers

The slope we can get from using this y1-y2/x1-x2

so

10-3/-5-1=7/-6=-1 1/6

There's your slope


I need help on this one please and thank you

Answers

you buy ten packs of hot dogs. you buy six packs of buns. you buy sixty hot dogs. and now you've got diabetes

What is the definition where of additive inverse?

Answers

The number that is added to a ,yields zero

I got this one wrong please help I don't understand must so work...

Answers

I believe the answer would be D because it's telling u that item p weighs 2kg and that the box itself weighs 1 kg but the amount she can carry is 10kg so that means that the item p and the box weight together is less than the amount she can carry

If each item Kathy puts in the box weighs 2 kg, then the weight of p items will be 2p kilograms. Since the box weighs 1 kg, the total weight in kilograms will be ...

... 2p + 1

Kathy wants that value to be less than or equal to 10 kg, so her inequality will be

... 2p + 1 ≤ 10 . . . . . corresponds to selection D

An expression is shown. 6 x (2.6 + 12.1) - 7 What value is equivalent to the expression? A) 81.2 B) 875 C) 87.5 D) 812

Answers

A 81.2 is the answer

Hello!

Answer:⇒⇒⇒⇒⇒⇒⇒⇒A. 81.2

Step-by-step explanation:

[tex]6(2.6+12.1)[/tex]

Add the numbers.

[tex]2.6+12.1=14.7[/tex]

[tex]6*14.7[/tex]

Multiply the numbers.

[tex]6*14.7=88.2[/tex]

[tex]=88.2[/tex]

[tex]88.2-7[/tex]

Subtract the numbers.

[tex]88.2-7=81.2[/tex]

[tex]=81.2[/tex]

Hope this helps!

Thank you for posting your question at here on brainly.

-Charlie

x/2 + 3 = -5 please help me

Answers

Hey there!!

Given equation :

... [tex]\frac{x}{2} + 3 = -5[/tex]

Subtracting 3 on both sides :

... [tex]\frac{x}{2} = -8[/tex]

Multiplying 2 on both sides :

... [tex]x = -16[/tex]

Hope my answer helps!!

the answer for x would be -16

Consider the trigonometric function f(x)=4cos(2x pi/2) +9

How do you determine the minimum and maximum values of this function?

Answers

Answer:

Make use of your knowledge of the maximum and minimum of the cosine function. Then scale and translate according to the way that function is scaled and translated to make f(x).

Step-by-step explanation:

f(x) is the cosine function, multplied by 4 and with 9 added to the result.

The minimum of the cosine function is -1. Multiplying that by 4 gives -4, and adding 9 gives 5.

The maximum of the cosine function is +1. Multiplying that by 4 gives +4, and adding 9 gives 13.

The minimum and maximum of f(x) are 5 and 13, respectively.

Max and Min:

Max = 13

Min = 5

COS Standard Period

[tex]2\pi[/tex]

COS Period with a multiplier of 2 on x

[tex]\pi[/tex]

COS Period with a multiplier of 2 on x and a Phase Shift

Answer to period

[tex]\frac{5}{4}\pi[/tex]


Step-By-Step Explanation:

Please view the image I have provided.


Find the coordinates of the points of intersection of the graphs with coordinate axes: y=−2x+4

Answers

You must get two equation to find point of intersections

Answer:

x = (2,0)

y = (0,4)

Step-by-step explanation:

Solve For x:

Lets take y as 0 so the equation is 0 = -2x + 4, and if we simplify the expression we get x = 4/2 which s x = 2 so the answer for x is (2,0)

Solve for y:

Lets take x as 0 so the equation is y = -2 · 0 + 4 which simplyfied to y = 4, so the answer for y is (0,4)

Determine the solution to the following system of linear equations.

5x - 5y = 20
-2x + 2y = -4

no solution
infinitely many solutions
(5, 1)
(2, -2)

Answers

Answer:

no solution

Step-by-step explanation:

To put the first equation into standard form, with the coefficients mutually prime, divide it by 5:

... x - y = 4

To put the second equation into standard form, with the coefficients mutually prime and the leading coefficient positive, divide by -2:

... x - y = 2

These are inconsistent equations, hence have no solution.

Answer:

a

Step-by-step explanation:

Line segments JK and JL in the xy-coordinate plane both have a common endpoint J(-4,11) and midpoints at M, (2, 16) and M2 (-3,5), respectively. What is the distance between M, and M2? Round to the nearest tenth.

Answers

Answer:

12.1

Step-by-step explanation:

We use the formula for the distance between two arbitrary points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the xy-coordinate plane, that is:

[tex]d=\sqrt{(x_1-x_2)^2 + (y_1-y_2)^2}[/tex]

So, replacing the points [tex]M=(2,16)[/tex] and [tex]M_2=(-3,5)[/tex], we obtain:

[tex]d=\sqrt{(2-(-3))^2 + (16-5)^2}\\d=\sqrt{(2+3)^2 + (16-5)^2}\\d=\sqrt{5^2 + 11^2}\\d=\sqrt{146 }=12.083045... \simeq 12.1[/tex]

that is the answer.

note: observe that we only use the coordinates between the two midpoints and not the point J.

758x93= What is the answer and how to solve it

Answers

The answer is 70494.

I organized an ocean cleanup and we collected a total of 25 pounds of garbage 16 pounds of the garbage consisted of plastic what percent of the garbage was plastic

Answers

64%. You would divide 16 from 25 because you're trying to find the amount of garbage that was plastic.

Hope this helped! :)

14% of the garbage was plastic

please help! square root

Answers

7) 11
8) 7
9) 19
10) 5
11) 17
12) 6

NEED HELP NOW!
The values in the table define the function f(x) . The value of f ^-1(3) is , and the value of f^-1(8) is .

Answers

f^-1 is found by reading the table from right to left, so find the f(x) number in the right hand column and f^-1 would be the number in the left hand column.


When f(x) = 3, x = 2

f^-1(3) would be 2


When f(x) = 8, x = 7

f^-1(8) = 7


As per the given value of the function , value of [tex]f^{-1}(3) = 2[/tex] and [tex]f^{-1}(8) = 7[/tex].

What is function?

" Function is defined as the for each input value there is one and only one output."

According to the question,

From the given table value of function [tex]f(x)[/tex]defined for [tex]x[/tex]

Consider,

[tex]f(x) = y\\\\\implies x = f^{-1}(y)[/tex]

Value of required function we get,

[tex]y= 3\\\\\implies f^{-1}(3)= 2[/tex]

[tex]y= 8\\\\\implies f^{-1}(8)= 7[/tex]

Hence, as per the given value of the function , value of [tex]f^{-1}(3) = 2[/tex] and [tex]f^{-1}(8) = 7[/tex].

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what is 15/1/20 as a improper fraction

Answers

I'm not sure what you mean, but if you mean 15 and 1/20th, you just multiply 15 by 20 and add one which is 301 and keep the denominator

simplify 35x^3y^5/7x^2y^4 show work mark brainliest only answer if you know how to do laws of exponents

Answers

When you write expressions like this, you need to pay attention to the Order of Operations. As this is written, the only factor in the denominator is the one immediately after the division symbol: 7. This simplifies to

... (35/7)·x^(3+2)·y^(5+4) = 5x^5y^9

_____

We suspect you might intend ...

... (35x^3y^5)/(7x^2y^4) = (35/7)x^(3-2)y^(5-4) = 5xy

I need help with this one please d÷12=1/6

Answers

Answer

d = 2

Step-by-step explanation:

d divided by 12 is the same as d/12?

d/12 = 1/6

cross multiply and get 12 = 6d.

6(2) = 12.

Divide 12 by 2 and you get 2/12 which simplifies to 1/6.

Hope I helped. ^-^

d = 2

given [tex]\frac{d}{12}[/tex] = [tex]\frac{1}{6}[/tex]

multiply both sides by 12

d = 12 × [tex]\frac{1}{6}[/tex] = 2


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