Answer:
[tex]\large\boxed{C)\ 2}[/tex]
Step-by-step explanation:
[tex]2.5(6x-4)=10+4(1.5+0.5x)\qquad\text{use the distributive property}\\\\(2.5)(6x)+(2.5)(-4)=10+(4)(1.5)+(4)(0.5x)\\\\15x-10=10+6+2x\qquad\text{subtract 2x from both sides}\\\\13x-10=16\qquad\text{add 10 to both sides}\\\\13x=26\qquad\text{divide both sides by 13}\\\\x=2[/tex]
Answer:
C)2
Step-by-step explanation:
Trust me here boyzz
If the dimensions of a rectangle are cut in half, then the new area is blank the original area.
1/4
half
four times
twice
[tex]The \: new \: area \: would \: be \: \frac{1}{4} \: of \: the \: original[/tex]
Answer:
1/4
Step-by-step explanation:
Justin Bieber is thrown horizontally at 10.0m/s from the top of a cliff 122.5 m high.
How long does it take to reach the ground?
What is the horizontal displacement?
What is Justin's final velocity?
Answer:
Step-by-step explanation:
How long it takes to reach the ground is a y-dimension thing, and horizontal displacement is an x-dimension thing. So let's set up a table with the info we have in each dimension:
x y
V₀ 10.0 m/s 10.0 m/s
Δx ? -122.5 m
a 0 m/s/s -9.8 m/s/s
v 10.0 m/s ?
t ? ?
That seems like an awful lot of question marks, doesn't it?
The first question asks us for the time, t, it takes for the pathetic and greatly disliked Justin Bieber to hit the ground. We will use the equation:
Δx = V₀t + 1/2at²
Filling in our values using the y-dimension stuff only:
[tex]-122.5 = 10.0t+\frac{1}{2}(-9.8)t^2[/tex] which simplifies to
[tex]-122.5=10.0t-4.9t^2[/tex]
Hmmm...this is beginning to resemble a parabolic equation you probably already studied in Algebra 2!
We can solve for t by getting everything on one side and setting the equation equal to 0. We set it equal to 0 since the height on the ground is 0:
[tex]-4.9t^2+10.0t+122.5=0[/tex]
When you factor that for the 2 values of t, you get
t = -4.1 and 6.1
Of course, since time can't EVER be negative, we use a t value of 6.1. That's how long it takes to hit the ground. That t value can now be filled into the t values in our table above. We need that t value for the next part that asks us the horizontal displacement, Δx. This is x-dimension stuff now. Using the same equation:
Δx =[tex]10.0(6.1)+\frac{1}{2}(0)(6.1)^2[/tex]
Of course since the acceleration in the x-dimension is always 0, the whole portion of the equation after the equals sign is eliminated, leaving us with
Δx = 10.0(6.1)
Δx = 61 m
Poor Justin, upon his demise, hits the ground. Therefore, his final velocity is 0, since his body met the ground and stopped dead.
The rectangle below has an area of 81- x^2 square meters and a width of 9 - x meters
The length of a rectangle with an area of 81 - x² square meters and a width of 9 - x meters is (81 - x²) / (9 - x) .
To find the expression that represents the length of the rectangle, we need to use the formula for the area of a rectangle, which is:
Area = Length × Width
Given that the area of the rectangle is 81 - x² square meters and the width is 9 - x meters, we can set up the equation as:
81 - x² = Length × (9 - x)
To isolate the Length, we divide both sides of the equation by the Width (9 - x):
Length = (81 - x²) / (9 - x)
Therefore, the expression that represents the length of the rectangle is:
Length = (81 - x²) / (9 - x)
Complete Question:
The rectangle below has an area of 81- x² square meters and a width of 9 - x meters. What expression represents the length of the rectangle?
Amazon receives 5% of the cost of all sales made on their website. How much does Amazon make on a shoes sale of $80?
If Amazon gets 5% of each sale they make, find 5% of the $80 sale. You have to convert 5% to a decimal, which is 0.05. → 80 * 0.05 is $4 which means that if they sell something for $80, Amazon will recieve $4.
Answer:
4$
Step-by-step explanation:
Any help? Simplify cos^2x-cos^4x/tanx
[tex]\bf \textit{Pythagorean Identities} \\\\ sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{cos^2(\theta )-cos^4(\theta )}{tan(\theta )}\implies \cfrac{cos^2(\theta )[1-cos^2(\theta )]}{\frac{sin(\theta )}{cos(\theta )}}\implies \cfrac{cos^2(\theta )[sin^2(\theta )]}{\frac{sin(\theta )}{cos(\theta )}} \\\\\\ \cfrac{cos^2(\theta )[sin^2(\theta )]}{1} \cdot \cfrac{cos(\theta )}{sin(\theta )}\implies cos^3(\theta )sin(\theta )[/tex]
What is the area of a triangle (picture provided)
Answer:
C
Step-by-step explanation:
Use the Heron's formula for the area of the triangle:
[tex]A=\sqrt{p(p-a)(p-b)(p-c)},[/tex]
where a, b, c are lengths of triangle's sides and [tex]p=\dfrac{a+b+c}{2}.[/tex]
Since [tex]a=2,\ b=7,\ c=8,[/tex] then
[tex]p=\dfrac{2+7+8}{2}=8.5.[/tex]
Hence,
[tex]A=\sqrt{8.5(8.5-2)(8.5-7)(8.5-8)}=\sqrt{8.5\cdot 6.5\cdot 1.5\cdot 0.5}=\\ \\=\sqrt{41.4375}\approx 6.4\ un^2.[/tex]
Answer:
Area Δ = 6.4 units² ⇒ the answer is (c)
Step-by-step explanation:
* Use the formula of the area:
∵ Area of the triangle = 1/2 (a)(b) sin(C)
∵ We have the length of the 3 sides
∴ Use cos Rule to find the angle C
∵ cos(C) = (a² + b² - c²)/2ab
∵ a = 2 , b = 7 , c = 8
∴ cos(C) = (2² + 7² - 8²)/2(2)(7) = 4 + 49 - 64/28 = -11/28
∴ m∠C = 113.1°
∴ Area Δ = (1/2)(2)(7)sin(113.1) = 6.4 units²
An apple orchard harvested 3,584 apples and separated them evenly into 112 bags. How many apples are in each bag?
Answer: 32
Step-by-step explanation:
3,584 / 112 = 32
A ladder leans against a building, making a 70° angle of elevation with the ground. The top of the ladder reaches a point on the building that is 39 feet above the ground.
To the nearest tenth of a foot, what is the distance between the base of the building and the base of the ladder?
Question 4 options:
13.3 ft
14.2 ft
36.6 ft
41.5 ft
Question 5
A bird fountain is located 6 m from the base of Joey's apartment building. From his window, Joey can see it at a 51° angle of depression.
To the nearest tenth of a meter, how far up the building is Joey's window?
Question 5 options:
4.9 m
7.4 m
7.7 m
9.5 m
➷ It would help if you drew it out as a triangle
You will notice that you need to use tan
tan70 = 39/x
x = 39/tan70
x = 14.194
The correct option would be 14.2 ft
You will need to use tan
tan51 = 6/x
x = 6/tan51
x = 4.8587
The correct option would be 4.9m
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
could someone please just help me out. i’m struggling pleasee
Answer:
NO = 4.5
MO = 3.5
LN = sqrt(44)
Step-by-step explanation:
Since the value of the base of the triangles is 8, and the value of NO is 4.5, the value of MO is MN - NO, which is 8 - 4.5, which comes out to 3.5.
Then, we apply the quadratic formula to triangle MLO to find that the middle line value is sqrt(23.75). Then we use the quadratic formula on traingle OLN to find the LN is sqrt(44).
Eduardo has a red 6-sided number cube and a blue 6-sided number cube. The faces of the cubes are numbered 1 through 6. Eduardo rolls both cubes at the same time. The random variable X is the number on the red cube minus the number on the blue cube. What is P(−2≤X≤1)? Enter your answer, in simplest fraction form, in the box.
Answer: 5/9
Step-by-step explanation: Just took the test
Answer:
P(−2≤X≤1) = 5/9.
Step-by-step explanation:
Given:
P(-2≤X≤1) and he random variable X is the number on the red cube minus the number on the blue cube
x = -2. -1. 0 and 1
Let's take first number as in the red cube and the second number is in blue cube.
We get x = -2 for the following outcomes
(1, 3), (2, 4), (3, 5), and (4, 6). which is 4 favorable outcomes.
We get x = -1, for the following outcomes:
(1, 2), (2, 3), (3, 4), (4, 5), and (5, 6). which is 5 favorable outcomes
We get x = 0, when (1, 1) (2, 2)(3, 3)(4, 4) (5, 5),(6, 6) which is 6
We get x = 1, when (2, 1), (3, 2) (4, 3) (5, 4) (6, 5), which is 5.
The number of favorable outcomes= 4 + 5 + 6 + 5 = 20
The number of possible outcomes = 36 (when we toss the two dices, the possible number of outcomes is 36)
The required probability P(−2≤X≤1) = The total number of favorable outcomes / the total number of possible outcomes
= 20/36
P(−2≤X≤1) = 5/9.
Hope this will helpful.
Thank you.
Which statement below is incorrect? The mean is not affected by the existence of an outlier. The median is not affected by the existence of an outlier. The standard deviation is affected by the existence of an outlier. The interquartile range is unaffected by the existence of an outl
Answer:
https://brainly.com/question/3346907
Step-by-step explanation:
need help filling in the blanks. (selling price and profit.)
Answer:
$7.73
$131,450
$9,500
$9.44
$12.44
$4,590
$107,600
$-1,620
Step-by-step explanation:
Let's take it one at a time. To find the fixed costs per unit, we use the formula.
[tex]FixedCostPerUnit=\dfrac{FixedCosts}{ForecastUnitSales}[/tex]
So our variables are.
Fixed Costs = $85,000
Forecast = 11,000 units
Now we compute.
[tex]FixedCostPerUnit=\dfrac{85,000}{11,000}[/tex]
[tex]FixedCostPerUnit=$7.73[/tex]
Now for the Gross Sales, we simply take the selling price per unit and multiply it to the forecast unit sales.
GrossSales = Selling Price x Forecast Unit Sales
GrossSales = $11.95 x 11,000
GrossSales = $131,450
To compute for the possible net profit, we use the formula:
[tex]NetProfit=(SellingPrice-TotalCostPerUnit)*ForecastUnitSales[/tex]
SellingPrice = $12.45
TotalCostPerUnit = $11.50
ForecastUnitSales = 10,000
NetProfit = (12.45 - 11.50) x 10,000
NetProfit = 0.95 x 10,000
NetProfit = $9,500
[tex]FixedCostPerUnit=\dfrac{FixedCosts}{ForecastUnitSales}[/tex]
FixedCosts = $85,000
ForecastUnitSales = 9,000
[tex]FixedCostPerUnit=\dfrac{85,000}{9,000}[/tex]
FixedCostPerUnit = $9.44
Now that we have our Fixed Cost Per Unit we simply add our Variable Cost to get the Total Cost Per Unit.
TotalCostPerUnit = FixedCostPerUnit + VariableCost
TotalCostPerUnit = $9.44 + $3.00
TotalCostPerUnit = $12.44
Now for the Net Profit.
[tex]NetProfit=(SellingPrice-TotalCostPerUnit)*ForecastUnitSales[/tex]
SellingPrice = $12.95
TotalCostPerUnit = $12.44
ForecastUnitSales = 9,000
NetProfit = (12.95 - 12.44) x 9,000
NetProfit = 0.51 x 9,000
NetProfit = $4,590
Now we're looking for Gross Sales again, so we use:
GrossSales = Selling Price x Forecast Unit Sales
GrossSales = $13.45 x 8,000
GrossSales = $107,600
[tex]NetProfit=(SellingPrice-TotalCostPerUnit)*ForecastUnitSales[/tex]
SellingPrice = $13.45
TotalCostPerUnit = $13.63
ForecastUnitSales = 8,000
NetProfit = (13.45 - 13.63) x 8,000
NetProfit = -0.18 x 9,000
NetProfit = $-1,620
So we can see that we have a profit loss at 8,000 units and a selling price of $13.45
A triangle with one angle larger than 90° is called a(n) triangle.
Answer:
Step-by-step explanation:
Obtuse
Best regards
Answer:
Obtuse triangle.
Step-by-step explanation:
An obtuse angle is an angle that is greater than 90 degrees and fans out. When used in a triangle, it makes all the other angles thin, or acute, and makes a very spread out kind of triangle. This is called an obtuse triangle.
Hope this helps!
once again text is for min word req the problem is in the image again
Set the two equations to equal each other and solve:
3x-2 = x+2
Subtract x from each side:
2x -2 = 2
Add 2 to each side:
2x = 4
Divide both sides by 2:
x = 4/2 = 2
Now replace x with 2 in one of the equations and solve for y:
y = 3x -2 = 3(2) - 2 = 6-2 = 4
X = 2, Y = 4
(2,4)
Are there less than 1 million, exactly 1 million, or greater than 1 million milligrams in 1 kilograms?
Answer: There is exactly 1 million in 1 kilogram
Step-by-step explanation:
Answer:
ello mate
Step-by-step explanation:
Find y of this shape.
as shown in figure LN = KN
triangle KLN is right angle triangle so using Pythagoras theorem
KL^2 = LN^2 + KN^2
KL^2 = LN^2 + LN^2 = 2LN^2
KL = √(2LN^2)
y = LN√2
now lets find value of LN
now LMN is also right angle triangle so using trigonometry
MN/LN = sin 30
putting value of MN=5 and sin 30 which is 1/2
5/LN = 1/2
LN = 5×2= 10
putting it back in our first equation
y = LN√2
y = 10√2
does this graph show a function?Explain how you know.
Check the picture below.
Answer:
The correct option is A.
Step-by-step explanation:
A relation is called a function if for each values of x, there exist a unique value of y.
A graph show a function if it passes the vertical line test. It means the function intersect each vertical at most once.
From the given graph it is clear that the graph passes the vertical line test because the the function intersect each vertical at most once and for each values of x, there exist a unique value of y.
Hence the correct option is A.
The measurement of one angle of a right triangle is 42°. What is the measurement of the third angle?
Answer:
48°
Step-by-step explanation:
The sum of the three angles of a right triangle is 180°.
If one angle is 90° and another is 42°, then
90° + 42° + x = 180°
132° + x = 180°
x = 180° - 132° = 48°
The third angle is 48°.
A farmer sells 8.9 kilograms of apples and pears at the farmer's market. 3 /4 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
Answer:
[tex]2.225\ kg[/tex] of pears
Step-by-step explanation:
Let
x----> kilograms of apples
y----> kilograms of pears
we know that
[tex]x+y=8.9[/tex] ----> equation A
[tex]x=(3/4)8.9=6.675\ kg[/tex]
Substitute the value of x in the equation A
[tex]6.675+y=8.9[/tex]
[tex]y=8.9-6.675[/tex]
[tex]y=2.225\ kg[/tex]
Answer: 2.225 kg
Step-by-step explanation:
You know that:
- The total weight the farmer sold was 8.9 kilograms.
- 3/4 of this weight is apples, and the rest is pears.
Therefore, to calculate the amount of kilograms of pears she sold at the farmer's market (which you can call x), you need to apply the following proccedure.
Thefore, you obtain the following result:
[tex]x=8.9kg-(8.9kg*\frac{3}{4})\\x=2.225kg[/tex]
Determine if the function is an even function, an odd function or neither. Y=-6x^6-5x^2- 2
Answer:
Even
Step-by-step explanation:
The function Y=-6x^6-5x^2- 2 is a polynomial. A polynomial function is a function where a whole number exponent greater than 1 is on the variable. All polynomial functions have a degree known as the highest exponent. This degree also determines if the functions is even, odd or neither.
The highest exponent on the polynomial is 6 which is an even number. This polynomial is even.
Answer:even
Step-by-step explanation:
got it right on edg. quiz
If prices increase at a monthly rate of 3.7%, by what percentage do they increase in a year?
An office manager needs to decide between two tables for the conference room. One is rectangular, 5 feet wide by 10 feet long. The other is a circle with an 8-foot diameter.
Which table can seat more people? Explain your answer be sure to support your answer using facts about the tables.
Answer:
Circle table
Step-by-step explanation:
More people will fit around the circle table then the rectangle table. You can find the distance around using the circumference.
C = πr² = π(4)²=16π = 50.24 feet
The perimeter of a rectangle table is P = 2l+2w = 2(10) + 2(5) = 30 feet.
With more than 20 feet more, the circle table will fit more.
Solve. X2 ? 5x = 14 A) x = 0, x = 5 B) x = 0, x = ?5 C) x = 2, x = ?7 D) x = 7, x = ?2
Eleni bought 3 packs of crayons. She then found 3 crayons in her desk Eleni now has 24 crayons. How many crayons were in each pack? Explain how you solved the problem.
Answer:
7 crayons in each pack
Step-by-step explanation:
1. subtract the 3 found crayons from the total (24)
24-3 = 21
2. divide 21 by 3 packs
21/3 = 7
Final answer:
Eleni ended up with 24 crayons after buying 3 packs and finding 3 more in her desk. To find the number of crayons per pack, we subtract the 3 found crayons from the total, giving us 21 crayons that came from the packs. Dividing 21 by the 3 packs she bought, we get 7 crayons per pack.
Explanation:
The subject of this question is mathematics, specifically an arithmetic problem that involves addition and division. Eleni bought 3 packs of crayons and found 3 more crayons in her desk, which resulted in her having a total of 24 crayons. To solve for the number of crayons in each pack, we start by subtracting the 3 crayons she found from the total, leaving us with 21 crayons that came from the packs. We then divide this number by the number of packs to find out how many crayons were in each pack.
Here's a step-by-step solution:
Start with the total number of crayons Eleni has after finding the extra ones in her desk: 24 crayons.
Subtract the 3 crayons found in her desk: 24 crayons - 3 crayons = 21 crayons.
Divide the resulting number of crayons by the number of packs she bought: 21 crayons \/ 3 packs = 7 crayons per pack.
Therefore, there were 7 crayons in each pack.
Julia won the race by one hundredth of a second Write the amount of time she won by as a fraction
Answer:
1/100
Step-by-step explanation:
In your own words, without providing the formulas, describe the difference between simple interest and compound interest. Which type of interest earns money more quickly?
Simple interest is when interest is paid once on money. Compound interest is paid periodically. Compound interest earns money more quickly because you are actually earning interest on interest. For example, if interest is compounded monthly you will received interest on your principal in January, and then in February you will receive interest on the principal and on the interest that was earned in January.
Jamal will slice a right circular cylinder into two congruent pieces. Which two dimensional plane sections could result from the slice Jamal makes?
Answer:
An ellipse and a rectangle.
Step-by-step explanation:
If Jamal cuts the right circular cylinder anywhere but its extremities, the resulting shapes on both pieces will be an ellipse.
If he cuts precisely in a perpendicular way in relation to the ends, he will then form two new right circular cylinders, then the ellipses obtained would be circles.
If Jamal cuts the right circular cylinder lengthwise, going from one end to the other, even if it's not perpendicular to the base, he will obtain a rectangular shape.
A two-dimensional plane section that could result from slicing a right circular cylinder into two congruent pieces is a circle.
When a right circular cylinder is sliced at the center of the vertical height, the surface of either section is a circle.
However, when a right circular cylinder is sliced at the center of the circular surface, the surface of either section is a rectangle.
Hence, the resulting shapes are circles and rectangles
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Solve the problem be using proper methods. Show work.
If you invest $1200 at an interest rate of 1.3% compounded continuously,
a) How much will you have in 5 years?
b) How long will it take for your investment to double?
Answer:
$1280.59
53 years
Step-by-step explanation:
To find how much we will get in 5 years, we use the formula:
[tex]A=Pe^{rt}[/tex]
P = $1200
r = 1.3% or 0.013
t = 5
Now that we have our values, let's plug them into the formula.
[tex]A=1200e^{0.013(5)}[/tex]
[tex]A=1200e^{0.065}[/tex]
[tex]A=1280.59[/tex]
We will have $1280.59 after 5 years.
Now to find how long it will take for our investment to double.
t = ln(A/P)/r
A = 2400
P = 1200
r = 1.3 or 0.013
Let's plug it in.
t = ln(2400/1200)/0.013
t = ln(2)/0.013
t = 53.32 or 53 years
A piece of wire 24 m long is cut into two pieces. One piece is bent into a square and the other is bent into a circle. (a) How much wire should be used for the square in order to maximize the total area? Incorrect: Your answer is incorrect. m (b) How much wire should be used for the square in order to minimize the total area?
The solution to this problem involves using calculus to model the total area as a function of the lengths of the wire used for the square and the circle. However, without further context or information, a concrete answer cannot be provided.
Explanation:In this given case, you have a wire of length 24m that needs to be bent into two shapes - a square and a circle - and we need to know how much wire should be used for the square to maximize or minimize total area. The problem involves concept of both geometry and calculus.
To find the solution we must determine the lengths for the square and the circle that will maximize or minimize the total area. But the concept of area maximization and minimization comes from calculus, especially derivative application. Specifically, to find the maximum or minimum area, we would model the total area as a function of lengths and use first derivative to find where the area is maximized and minimized. Unfortunately, without more context or information, we cannot provide an accurate answer to this question.
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To maximize the total area, use 192 / (2π + 8) units of wire for the square and 24 - 192 / (2π + 8) units of wire for the circle. To minimize the total area, follow the same wire lengths.
Explanation:To maximize the total area, we need to find the lengths of the wire that will create squares and circles with the largest possible areas. Let's start with part (a).
Part (a)
Let the length of the wire used for the square be x. Then the length of the wire used for the circle would be 24 - x. The perimeter of the square is 4x, so the side length of the square is x/4. The circumference of the circle is 2πr, where r is the radius. Since the wire used for the circle is 24 - x, we have 2πr = 24 - x. Solving for r, we get r = (24 - x) / (2π).
The area of the square is (x/4)^2 = x^2/16. The area of the circle is πr^2 = π((24 - x) / (2π))^2 = (24 - x)^2 / (4π). The total area is the sum of the areas of the square and the circle, so we need to maximize (x^2/16) + (24 - x)^2 / (4π).
Let's find the derivative of this expression with respect to x, set it equal to 0, and solve for x:
(1/8)x - (24 - x) / (2π) = 0
Simplifying, we get (1/8)x = (24 - x) / (2π)
Multiplying both sides by 8 and 2π, we have 2πx = 8(24 - x)
Expanding, we get 2πx = 192 - 8x
Bringing like terms to one side, we have 2πx + 8x = 192
Combining like terms, we get (2π + 8)x = 192
Dividing both sides by (2π + 8), we have x = 192 / (2π + 8)
Now that we have the value of x, we can calculate the lengths of the wire used for the square and the circle. The length of the wire used for the square is x, which is equal to 192 / (2π + 8). The length of the wire used for the circle is 24 - x, which is equal to 24 - 192 / (2π + 8).
So, the solution for part (a) is to use 192 / (2π + 8) units of wire for the square and 24 - 192 / (2π + 8) units of wire for the circle in order to maximize the total area.
Part (b)
To minimize the total area, we follow a similar approach. The area of the square is x^2/16 and the area of the circle is (24 - x)^2 / (4π). We want to minimize (x^2/16) + (24 - x)^2 / (4π).
Again, let's find the derivative of this expression with respect to x, set it equal to 0, and solve for x:
(1/8)x - (24 - x) / (2π) = 0
Expanding and rearranging, we get (2π + 8)x = 192
Dividing both sides by (2π + 8), we have x = 192 / (2π + 8)
As in part (a), the length of the wire used for the square is x, which is equal to 192 / (2π + 8), and the length of the wire used for the circle is 24 - x, which is equal to 24 - 192 / (2π + 8).
Therefore, the solution for part (b) is to use 192 / (2π + 8) units of wire for the square and 24 - 192 / (2π + 8) units of wire for the circle in order to minimize the total area.
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Previous balance = $102.35 Finance charge = $1.24 New purchases = $15.73 Payments/credits = $12.00 New balance = $______
Answer:
$97.38
Step-by-step explanation:
Subtract the finance charge and new purchases from the previous balance.
102.35 - 1.24 - 15.73 = 85.38
Add the payment/credit
85.38 + 12 = 97.38
Answer:
$107.32
Step-by-step explanation:
GivenNew balance = previous balance + finance charge + purchases - payments
Previous balance = $102.35
Finance charge = $1.24
Purchases = $15.73
Payments = $12.00
FindNew balance
SolutionFill in the given information and do the arithmetic.
... New balance = previous balance + finance charge + purchases - payments
... New balance = $102.35 + $1.24 + $15.73 - $12.00
... New balance = $107.32