The total interest Brady will pay when his debt is paid off is $ 2020.00
Given data ,
To calculate the total interest Brady will pay when his debt is paid off, we can use the following steps:
Calculate the total amount Brady will pay towards the credit card debt over 39 months by multiplying the monthly payment of $180 by 39:
Total payments = Monthly payment * Number of months
Total payments = $180 * 39
Total payments = $7020.00
Subtract the original debt amount from the total payments to find the total interest paid:
Total interest = Total payments - Original debt amount
Total interest = $7020.00 - $5000.00
Total interest = $2020.00
Hence , the correct answer is option C: $2020.00, which represents the total interest Brady will pay when his debt is paid off.
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How much 8% saline solution should Kent mix with 60 cubic centimeters (cc) of an 18% saline solution to produce an 11% saline solution?
cubic centimeters of an 8% saline solution is needed.
X
5
Based on the concentration of the saline solution and the cubic centimeters of the saline solution, the amount that should be mixed is 140 cubic centimeters
How to find out the cubic centimeters for mixing?Assuming that the quantity of the saline solution that Kent should mix is denoted by x, the formula would be:
0.08x + (0.18 x 60) = 0.11 (x + 60)
Solving gives:
0.08x + 10.8 = 0.11x + 6.6
10.8 - 6.6 = 0.11x - 0.08x
4.2 = 0.03x
x = 4.2 / 0.03
x = 140 cubic centimeters
In conclusion, 140 cubic centimeters of the saline solution is needed.
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You have 30 sandwich and 42 granola bars basket what is the greatest number of picnic basket you can make
Answer:
The greatest ammount of picnic baskets you could make is 30 with an extra 12 granola bars left over, but it depends on how many people are going to eat from one picnic pasket. For example..say there were two people sharing each basket, you would make 15 picnic baskets with 12 leftover. The number would be 15 baskets because each person sharing the picnic basket together would each get 1 sandwich and 1 granola bar.
According to the graph, when would have been the
best time for an American to buy a piece of machinery
manufactured in Canada?
Explain your answer in at least two complete
sentences.
The best time for an American to buy a piece of machinery manufactured in Canada is March(3/13) and the reason is explained below.
A graph representing the Canadian dollar with respect to US dollar is given.
We have to found the best time to buy machinery built in Canada.
(i) We know that the best time to buy an imported machinery manufactured in Canada, is when we can buy most Canadian dollars for US dollars.
(ii) When trying to make a purchase from another currency, we must consider; Value of your currency against the foreign currency and chances of the future change in exchange rate.
So, from the graph we conclude that; "best time for American to buy a piece of machinery manufactured in Canada" is (03/13) that is march 2013.
Therefore , the best time to buy is March 2013, (3/13).
-- The given question is incomplete, the complete question is
"According to the graph (given below) , when would have been the best time for an American to buy a piece of machinery manufactured in Canada? Explain your answer in at least two complete sentences." --
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the difference of 17 and 22/t
Answer:
17 is a whole number,
while
22/t is a fraction.
One interior angle and one exterior angle are marked on the 7-sided shape
below.
Calculate the size of the exterior angle x.
Т
134°
The size of the exterior angle in the given 7-sided shape, as shown in the image attached below is: x = 46°.
How to Calculate the Size of the Exterior Angle of a Polygon?To calculate the size of the exterior angle in a polygon when the interior angle is known, we can use the following relationship:
Interior angle + Exterior angle = 180°
Given that the interior angle measures 134°, as shown in the image below, we can substitute it into the equation:
134° + Exterior angle = 180°
To isolate the exterior angle, we subtract 134° from both sides of the equation:
Exterior angle = 180° - 134°
Simplifying further:
Exterior angle = 46°
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)The mean voltage of a battery is 15 and S.D 0.2.Find the probability that four such batteries connected in series will have combined voltage of 60.8 or more volts
The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.
To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.
In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.
The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.
The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.
Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.
First, we need to standardize the value of 60.8 using the formula:
Z = (X - μ) / σ
Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.
In this case, the standardized value is:
Z = (60.8 - 60) / sqrt(0.16)
Z = 0.8 / 0.4
Z = 2
Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.
Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.
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I’ve been trying to figure this out
As a result, it is discovered that the answer to the given function problem is slant sample points of y = x -4.
What does the term function mean?Mathematical studies cover the areas and prospective applications of geometry as well as numbers and their variants, equations, and related structures. A group of inputs that collectively produce a similar result is referred to as a "function." Each input contributes to a single, distinguishable consequence in an output-input connection known as a function. Each activity has a scope, which is also known as a region or city or municipality. Commonly, functions are denoted by the letter f. (x). The origin is X. Across operations, one-to-one action, many-to-one activity, on activity, and on
Here,
Every one of the three asymptotes can be used to construct a rational function because rational functions can take any form.
This is depicted in both the linked graph and the graph of the function f(x that serves as a representation. The function's asymptotes are as follows.
The asymptotes for the vertical slope are x = -4,
The horizontal asymptotes are Y = 0 and.
Slant has an asymptote of Y = x -4.
An exponential function is used in our example function. That isn't generally perceived of as a polynomial, but it may be expressed as an endless degree polynomial. A rational function is typically described in publications as the percentage of polynomials.
As a consequence, the solution to the given function problem is slant sampling points, which are y.
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A shoe manufacturer spends $2.50 to make sandals and $4 to make running shoes. During a typical month, they spend $2500 manufacturing sandals and running shoes. During the month of April, they double the pairs of sandals manufactured and spend a total of $3000.
How many pairs of sandals and running shoes does the company make during a typical month?
Step-by-step explanation:
are you having problems with something if so message this guy
Select all expressions equivalent to
532
20
202
124
55
51.43
5.43
Which equation is a linear function?
y = \(x^{2}\) + 7
, y = \(\frac{2}{x}\) + 3
, y + \(x^{2}\) - 1
, y = \(\frac{x}{2}\) - 5
I need help ASAP pls! I hate geometry
X-3y=-3; ( ,4), (12, ) complete each ordered pair
Answer:
(9,4) and (12,5)
Step-by-step explanation:
x-3y=-3
y=4, x-3*4=-3, x=9. (9,4)x=12, 12-3y=-3, y=5. (12,5)You and your family go camping.
Your campsite is square. The area
of your campsite is 900 square
feet. What is the perimeter of the
campsite?
Answer:
The campsite would be 65 m by 65 m. 65 x 65 = 4,225. Another way to put it (and the way to figure it out) is that the square root of 4,225 is 65.
Step-by-step explanation:
-8x+y=6
-8x+3y=-14
How would you solve this using the elimination method? Thanks!
Answer:
x = -1,375
y = -5
Step-by-step explanation:
{-8x + y = 6, / : (-1)
{-8x + 3y = -14;
Multiply the first equation by -1, so that we could eliminate 8x:
+ {8x - y = -6,
{-8x + 3y = -14;
----------------------
4y = - 20 / : 4
y = -5
Now, make x the subject from the first equation (you can do it from the 2nd one instead):
8x = -6 + y / : 8
x = -0,75 + 0,125y
x = -0,75 + 0,125 × (-5) = -0,75 - 0,625 = -1,375
If I can buy 4 calculators for $190, how much does one cost?
I would really appreciate if someone answered.
Answer:
47.50 per calculator
Step-by-step explanation:
Take the total cost and divide by the number of calculators to get the cost of one calculator
190/4 =47.50
what is The greatest common factor of 42 and 96? I need it to be broken down for me to understand. thanks
Answer:
GCF is 6
Step-by-step explanation:
42 :
2 | 42
3 | 21
7 | 7
| 1
; 42 = 2 x 3 x 7
96 :
2 | 48
2 | 24
2 | 12
2 | 6
3 | 3
| 1
; 96 = 2 x 2 x 2 x 2 x 2 x 3
here, common factors are 2 x 3 = 6
Hence, the GCF of 42 and 96 is 6.
Floyd builds rectangles using matches, as shown below. When the length of the rectangle is 3 matches, he used 8 matches. When the length of the rectangle is 7 matches, he used 16 matches. How many matches does Floyd need to make a rectangle with length 20 matches? [Type in only o numeric digit as your answer with no spaces Answer: Search Q
Floyd needs 33 matches to make a rectangle with a length of 20 matches.
To find out how many matches Floyd needs to make a rectangle with a length of 20 matches, we can observe a pattern in the given information.
From the given data, we can see that as the length of the rectangle increases by 4 matches, the number of matches used increases by 8. This means that for every additional 4 matches in length, Floyd requires 8 more matches.
Using this pattern, we can calculate the number of matches needed for a rectangle with a length of 20 matches.
First, we need to determine the number of 4-match increments in the length of 20 matches. We can do this by subtracting the starting length of 3 matches from the target length of 20 matches, which gives us 20 - 3 = 17.
Next, we divide the number of 4-match increments by 4 to determine how many times Floyd needs to add 4 matches. In this case, 17 ÷ 4 = 4 with a remainder of 1.
Since Floyd requires 8 matches for each 4-match increment, we multiply the number of increments by 8, which gives us 4 × 8 = 32 matches.
Finally, we add the remaining matches (1 match in this case) to the total, resulting in 32 + 1 = 33 matches needed to reach a length of 20 matches.
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simplify 2(x + 10)
Answer:
2x + 20
Step-by-step explanation:
2(x) + 2(10)
2x + 20
c. Numbers Find the number of yards in 63 feet.
Answer:
21 yards
Step-by-step explanation:
fly to horse, divide of course
horse to fly, multiply
1 yard is 3 ft
The number is getting bigger, so you divide.
63 divided by 3 is 21
Answer:
21
Step-by-step explanation:
there are 3 feet in every yard,
63/3=21
Given the function f(x) = 6x + 1 and the linear function g(x), which function has a greater slope?
image shows : positive linear function increasing through 2 comma 3 and 3 comma 7
f(x) has a greater slope.
g(x) has a greater slope.
The slopes of f(x) and g(x) are the same.
The slope of g(x) is undefined.
Answer:
f(x) has a greater slope.
Step-by-step explanation:
The slope of the image line
= difference in y coordinates / difference in x coordinates
= (7-3) / (3-2)
= 4.
The slope of f(x) = 6x + 1 is 6.
The function f(x) has a greater slope because the slope of the f(x) is 6, and g(x) is 4.
What is mean by straight line?
A straight line is a combination of endless points joined on both sides of the point.
Given that;
The function, f(x) = 6x + 1
And the function g(x) is a linear function which passes through the points (2 , 3) and (3, 7).
Since, The slope 'm' of any straight line is given by:
m = (y₂ - y₁) / (x₂ - x₁)
And, m = d/dx (f(x))
So, The slope of function f (x) will be;
f(x) = 6x + 1
M = d/dx (f(x))
M = d/dx (6x + 1)
M = 6
And, Slope of linear function which passes through the points (2 , 3) and (3, 7) is;
m = (7 - 3) / (3 - 2)
m = 4/1
m = 4
Thus, The function f(x) has a greater slope because the slope of the f(x) is 6, and g(x) is 4.
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Music students and art students at a middle school were surveyed to choose a cardiovascular activity: playing sports or dancing.
Do you prefer dancing or playing sports?
Playing sports Dancing Row totals
Music students 32 15 47
Art students 31 22 53
Column totals 63 37 100
What is the marginal frequency of students who chose dancing?
15
22
37
53
The marginal frequency of students who chose dancing is 37.
The correct answer to the given question is option 3.
The marginal frequency of students who chose dancing can be calculated by adding up the number of students who chose dancing in each row or column. In this case, we need to add up the number of art students who chose dancing (22) and the number of music students who chose dancing (15), which gives us a total of 37. This is the marginal frequency of students who chose dancing.
Based on the survey results, it appears that a slightly higher percentage of art students prefer dancing (41.5%) compared to music students (31.9%). However, both groups of students seem to be fairly evenly split between dancing and playing sports, with a slight preference for playing sports overall.
It's worth noting that cardiovascular activity is important for overall health and well-being, and both dancing and playing sports can provide great opportunities for exercise and physical activity. Additionally, both activities can also be enjoyable and provide a sense of community and social connection, which is important for middle school students who are still developing their social skills and relationships. Ultimately, the choice between dancing and playing sports will depend on individual interests, preferences, and abilities.
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Which of the following is the domain and range of the ellipse with equation x2 + 4y2 – 2x + 16y – 19 = 0?
D: [–1, 5]; R: [–7, 5]
D: [–5, 7]; R: [–5, 1]
D: [–5, 1]; R: [–5, 7]
D: [–7, 5]; R: [–1, 5]
The option second D: [–5, 7]; R: [–5, 1] is correct the domain is D: [–5, 7], and the range is R: [–5, 1]
What is an ellipse?An ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called focus adds up to a constant. It is taken from the cone by cutting it at an angle.
We have an ellipse equation:
\(\rm x^{2}+4y^{2}-2x+16y-19=0\)
We can write the above equation as:
\(\rm \dfrac{\left(x-1\right)^{2}}{36}+\dfrac{\left(y+2\right)^{2}}{9}=1\)
The domain will be:
D: [–5, 7]
The range will be:
R: [–5, 1]
Thus, the option second D: [–5, 7]; R: [–5, 1] is correct the domain is D: [–5, 7] and the range is R: [–5, 1]
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If a number is raised to a power of 2, It Is
Answer: a square i think
Step-by-step explanation:
because you multiply the number by itself, you're squaring it.
The ratio 64 to 96 in simplest form is
3
Answer:
nice.
Step-by-step explanation:
Please help me. Thank you.
Answer:
33) BD = 5.36
34) x = 67
* Don't forget to put a degree sign with 34)
Step-by-step explanation:
33)
In this problem, it is given that 2 of the sides are congruent, this means that the given triangle, by definition is isosceles. Yet if one adds up the given angle measures;
m< BAC = m<BAD + m<DAE + m<EAC -> Parts whole postulate
m<BAC = 15 + 30 + 15
m<BAC = 60
An isosceles triangle with a 60 angle is an equilateral triangle, therefore, one can say that all the sides and angles are congruent.
BA = AC -> sides equliateral triangle
m<B = m<C -> angles in an equilateral triangle
m<BAD = m<EAC -> given
ΔBAD ≅ ΔEAC -> side-angle-side
Therefore one can say that;
BD = EC ->corresponding parts of congruent triangles are congruent
Hence;
BD + DE + EC = BC
2BD + 9.28 = 20
2BD = 10.72
BD = 5.36
34)
1) m<PQL = y -> naming
2) m<PQL = m<LQN -> definiton of angle bisector
3) m<PQL + m<QLP + m<LPQ = 180 -> sum angles in a triangle
y + 70 + x = 180
x = 110 - y
4) m<PQL + m<LQM = 2y = m<PQM -> parts-whole-postulate
5) m<QLM = 180 - m<LQN + m<M -> sum of angles in a triangle
m<QLM = 126 - y
6) m<QLM + m<PLQ + m<NLP = 180 -> definition of a straight angle
126 + 70 + m<NLP = 180
m<NLP = y - 16
7) ΔPNL - isosceles -> deinfion of isosceles; Pn = NL
8) m<NPL + m<QPL = m<P -> parts-whole posulate
9) m<PQM + m<P = 180 -> two parralell lines intersected by a transversal
(110 - y) + (y - 16) + 2y = 180
94 + 2y = 180
2y = 86
y = 43
10) 110 - y = x -> substitution
110 - 43 = x
67 = x
The photo is kinda blurry but please help me with it
The perimeter of rectangle M'N'O'P' is given as follows:
54 cm.
What is a dilation?A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.
The ratio between the areas is given as follows:
126/14 = 9.
The area is measure in square units, while the perimeter is measured in units, hence the ratio of the perimeters is the square root of the ratio of the areas, that is:
3.
Hence the perimeter of rectangle M'N'O'P' is given as follows:
3 x 18 = 54 cm.
Missing InformationThe complete problem is:
Rectangle MNOP has a perimeter of 18 cm and an area of 14 cm2. After rectangle MNOP is dilated, rectangle M'N'O'P' has an area of 126 cm2. What is the perimeter of rectangle M'N'O'P'?
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What is the value of the expression 9+4n-1 when n=3
Answer:
20
Step-by-step explanation:
Step 1: Define
9 + 4n - 1
n = 3
Step 2: Simplify
8 + 4n
Step 3: Substitute and Evaluate
8 + 4(3)
8 + 12
20
Math- bbbbbbbbbbbbbbb
Answer:
b
Step-by-step explanation:
Answer:
B is the correct answer
Hope this helps!! :D
I need help ASAP thank you
Answer:
Volume: 1080
Surface area: 654
Step-by-step explanation:
Part A:
How to solve surface Area: 2×(9×15 + 9×8 + 15×8)
How to solve volume: 9x15x8
Part B:
Surface Area
Part C:
Volume
Hope this helps
solve for X
2x + 5 = 33
Answer:
X = 8
28
Step-by-step explanation:
Here Is How I did this problem:
33 - 5 = 28
X = 8
2x = 28
To Check my answer This is what I did:
28 + 5 = 33
Hope this helps! :)