Anthony wants to get a new TV. He has been working hard as a busboy at the local restaurant and wants
to treat himself to something nice. Today is his lucky day as he finds a 60" TV in stock that he has been
looking for. Unfortunately, it costs $700, and he does not have enough money saved up in order to buy it.
He recently received a credit card and is trying to decide what to do. Should he keep saving money buy it
Answers
The credit card provides the opportunity for Anthony to purchase the TV by paying at a rate of $50 a month.
The correct responses are;
1. The final price of the TV is $791.62. Anthony has to work for 70 hours to save enough money to buy the TV3. The number of extra hours of work bussing tables when using his credit card is approximately 9.16 hours.Reasons:
The price of the TV, P = $700
The interest rate is r = 18%
The monthly payment, M = $50
Monthly payment formula is given as follows;
[tex]M = \mathbf{ \dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}}[/tex]
The time it will take to pay using the credit card is therefore;
[tex]\displaystyle 50 = \dfrac{700 \times \left(\dfrac{0.18}{12} \right) \cdot \left(1+\dfrac{0.18}{12} \right)^n }{\left(1+\dfrac{0.18}{12} \right)^n - 1} = \frac{10.5 \cdot 1.015^n}{1.015^n-1}[/tex]
Which gives;
50 × (1.015ⁿ - 1) = 10.5 × 1.015ⁿ
Solving for n gives;
[tex]\displaystyle n = \frac{ln\left(\frac{50}{39.5}\right) }{ln(1.015)} \approx \mathbf{15.832}[/tex]
It will take approximately 15.832 months for Anthony to pay for the TV at $50 per month.
1. The final price of the TV = $50 × 15.832 ≈ $791.6
2. The number of hours of work, t, is given as follows;
[tex]\displaystyle t = \frac{\$700}{\$10 \ per \ hour} = \mathbf{ 70 \ hours}[/tex]
Anthony has to work for 70 hours to save enough money to purchase the TV.
3. The extra hours of work is given by the hours of work needed to pay for the interest amount for the loan on the card
The interest amount on the card = $791.6 - $700 = $91.6
[tex]\displaystyle Extra \ hours \ to \ work = \mathbf{ \frac{\$ 91.6}{\$10 \ per \ hour}} = 9.16 \ hours[/tex]
Anthony has to work for extra 9.16 hours bussing tables using his credit card.
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Related Questions
where does the normal line to the ellipse x2−xy y2=3 at the point (−1,1) intersect the ellipse for the second time?
Answers
Answer:
where does the normal line to the ellipse x2−xy y2=3 at the point (−1,1) intersect the ellipse for the second time?
Step-by-step explanation:
they Juan Carlos y los sigo pliss yyi de bvz
please help me i’m so lost Determine the lengths of AB and AC in the right triangle. You may give your answers in radical
form.
Answers
Answer:
see explanation
Step-by-step explanation:
Using the sine/ cosine ratios in the right triangle and the exact values
sin30° = [tex]\frac{1}{2}[/tex] , cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{6}{AB}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
AB = 12
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{AC}{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2 AC = 12[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
AC = 6[tex]\sqrt{3}[/tex]
In the past month, Raina rented 6 video games and 1 DVD. The rental price for each video game was $2.25 . The rental price for the DVD was $3.80 . What is the total amount that Raina spent on video game and DVD rentals in the past month?
Answers
Answer:
$17.30
Step-by-step explanation:
6 (video games) multiplied by $2.25 equals $13.50
or
(2.25 + 2.25 + 2.25 + 2.25 + 2.25 + 2.25) = 13.50
and
1 (DVD) is $3.80
$13.50 + $3.80 = $17.30
$17.30
Can system of equations be linear and nonlinear
Answers
0.2343217 Is it rational or irrational
Answers
Sheila has 11
1
2
pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 1
1
4
pounds. How many containers does she need? Complete the explanation.
Containers are counted in
mixed
numbers, so she will need containers.
Answers
Answer:
She will need 10 containers
Step-by-step explanation:
Using long division and converting both solutions to decimals we can use the equation 11.50 divided by 1.25. This will equal 9.20, we then know that she would need 9 containers but we would still have a remainder of .20 so in total to fit everything she would need 10.
I hope this helps have a great day :)
check whether the given fraction are equivalent
a) 7 /13 ,5/11
Answers
Answer:
No
Step-by-step explanation:
Not equivalent
7/13 ≠ 5/11
which of the following is would most likely negatively affect a person’s net worth
Answers
Step-by-step explanation:
Net Worth
Your assets are anything of value that you own that can be converted into cash. Examples include investments, bank and brokerage accounts, retirement funds, real estate and personal property (vehicles, jewelry, and collectibles)—and, of course, cash itself. Intangibles such as your personal network are sometimes considered assets as well. Your liabilities, on the other hand, represent your debts, such as loans, mortgages, credit card debt, medical bills, and student loans. The difference between the total value of your assets and liabilities is your net worth.
A company makes 140 bags.
30 of the bags have buttons but no zips.
27 of the bags have zips but no buttons.
20 of the bags have neither zips nor buttons.
A bag is selected at random.
What is the probability that the bag has buttons?
Answers
Answer: 41/75 or 54.67%
Step-by-step explanation:
Buttons --- yes, zips --- yes = 45 (compute as 150 - 37 - 45 - 23)
Buttons --- yes, zips --- no = 37
Buttons --- no, zips --- yes = 45
Buttons --- no, zips --- no = 23
Therefore, 82 out of 150 bags have buttons so probability = 82/150 = 41/75
Will mark brainly!
What is the inverse of [tex]f(x)=\frac{2}{x-1} +6?[/tex]
[tex]f^{-1} (x)=\frac{2}{x-1} +6[/tex]
[tex]f^{-1} (x)=\frac{2}{x} +7[/tex]
[tex]f^{-1} (x)=\frac{2}{y-6} +1[/tex]
[tex]f^{-1} (x)=\frac{2}{x-6} +1[/tex]
Answers
Answer:
[tex] {f}^{ - 1} (x) = \frac{2}{x - 6} + 1[/tex]
Step-by-step explanation:
we will subistitute f(x) by y and solve the equation in order to get the value of x,
then we subistitute x by y and y by x and y=f^-1(x)
Nine cereal bars are shared equally by 4 students. How many does each student receive?
Answers
Answer:
each student gets 2 bars and a quarter of one (2.25 or 2 1/4)
Step-by-step explanation:
I need this points for algebra help please
Answers
Answer:
ur mom
Step-by-step explanation:
lol
An air-conditioning and heating company has a fixed monthly cost of 4,000. Furthermore, each service call costs the company 25 .
Answers
all you need to do is 4000÷25=160
The linear equation in slope-intercept form is: y = 25x + 4000.
The linear equation in slope-intercept form to compute the total cost, y, for 1 month if x service calls are made can be written as:
y = mx + b
m represents the slope of the line, which represents the cost per service call.
Since each service call costs the company $25, the slope (m) is 25.
b represents the y-intercept, which represents the fixed monthly cost. In this case, the fixed monthly cost is $4000.
Therefore, the linear equation in slope-intercept form is: y = 25x + 4000
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find the midpoint of the line segment joining the two points (-1,-1) and (-5,4)
Answers
Answer:
(-3, 1.5)
Step-by-step explanation:
equation: M = (x1+x2)/2 , (y1+y2)/2
So, plug it in.
(-1-5)/2 , (-1+4)/2
-3 , 1.5
so, x = -3 and y = 1.5
solve the following equation and verify your answer.
[tex] \\ [/tex]
[tex] \huge \purple{ \frac{3x - 1}{5} - \frac{x}{7} = 3}[/tex]
Answers
Answer:
x = 7
Step-by-step explanation:
[tex]\frac{3x-1}{5}[/tex] - [tex]\frac{x}{7}[/tex] = 3
Multiply through by 35 ( the LCM of 5 and 7 ) to clear the fractions
7(3x - 1) - 5x = 105 ← distribute parenthesis and simplify left side
21x - 7 - 5x = 105
16x - 7 = 105 ( add 7 to both sides )
16x = 112 ( divide both sides by 16 )
x = 7
To verify the answer substitute x = 7 into the left side of the equation and if equal to the right side then it is the solution
[tex]\frac{3(7)-1}{5}[/tex] - [tex]\frac{7}{7}[/tex]
= [tex]\frac{21-1}{5}[/tex] - 1
= [tex]\frac{20}{5}[/tex] - 1
= 4 - 1
= 3 = right side
Then x = 7 is the solution to the equation
Lena buys candy that costs $7 per pound. She will buy less than 12 pounds of candy. What are the possible amounts she will spend on candy
Answers
Answer:
Lena can buy candy in infinite no of ways with the possible amounts:-
1 pound of candy = $7
1.1 pound of candy = $7.7
2 pounds of candy = $14
3 pounds of candy = $21
4 pounds of candy = $28
5 pounds of candy = $35
6 pounds of candy = $42
7 pounds of candy = $49
8 pounds of candy = $56
9 pounds of candy = $63
10 pounds of candy = $70
11 pounds of candy = $77
11.9 pounds of candy = $83.3
In Lucy's coin collection, 15% of the coins are quarters.
If there are 12 quarters, find the total number of coins in Lucy's coin collection.
Answers
The total number of coins in Lucy's coin collection is equal to 80 coins.
Let the total number of coins be C.Given the following data:
Percentage of quarters = 15%Total number of quarters = 12 quartersTo the total number of coins in Lucy's coin collection:
Since the percentage of the quarters in Lucy's coin collection is equal to fifteen percent (15%) of the total number of coins. Thus, we would multiply the total number of coins by 15% and equate it to 12 quarters.
Total number of coins:
[tex]\frac{15}{100} \times C = 12\\\\15C=12 \times 100\\\\15C =1200\\\\C=\frac{1200}{15}[/tex]
C = 80 coins.
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Answer:
80 coins
Step-by-step explanation:
Let the total number of coins be C.
Given the following data:
Percentage of quarters = 15%
Total number of quarters = 12 quarters
To the total number of coins in Lucy's coin collection:
Since the percentage of the quarters in Lucy's coin collection is equal to fifteen percent (15%) of the total number of coins. Thus, we would multiply the total number of coins by 15% and equate it to 12 quarters.
Total number of coins:
C = 80 coins.
So the total number of coins in Lucy's coin collection is 80 coins.
how to find parallelogram height with angles and side length
Answers
Answer:
h = a * sin α
Step-by-step explanation:
The easiest answer is utilizing Law of Sines: a / Sin A = b / Sin B = c /Sin C
a and ∠α : known
∠AEB = 90°
a / Sin 90° = h / Sin α .. Sin 90° = 1
h = a * sin α
what is the value of y if x = 4
Answers
Answer:
5aaaaaaaaaaaaaaaaaaaaaaaa
Evaluate the numerical expression 24
Enter your answer in the grid below.
Answers
Answer:
what grid below
Step-by-step explanation:
Answer:
what grid below
Step-by-step explanation:
A, E and B lie on a straight line segment.
C, D and B lie on a straight line segment.
BD = 3m, CD = 15m and AB = 21m.
Work out the length of BE.
Give your answer as a decimal.
Answers
The length of line BE on the given line segment is 3.5 m.
The given parameters:
Length BD = 3 mLength CD = 15 mLength AB = 21 mThe sketch of the given line segments is presented in the diagram uploaded.
The length of BE is determined by applying similar triangle theorem as follows;
[tex]\frac{CB}{AB} = \frac{BD}{EB} \\\\\frac{15 + 3}{21} = \frac{3}{EB} \\\\18EB = 63 \\\\EB = \frac{63}{18} \\\\EB = 3.5 \ m[/tex]
Thus, the length of line BE on the given line segment is 3.5 m.
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Please Help!!!!!! Tom says that he needs 6 rolls to obtain each possible outcome on a 6-sided die. On the fourth roll, he rolls his second "3”. Tom says that the die is loaded and that each outcome is not equally likely. Is Tom correct here? If you think Tom is incorrect, how many rolls should Tom make until he sees each number occurring about 1/6 of the time?
Answers
Answer:
I think he is correct.
Step-by-step explanation:
I think he is correct because when you roll a die, it is 10 to 1 for the die to get the number you want.
Tom says that the dices outcome is NOT equally likely. When actually the outcome is equally likely.
On dice no two number repeat twice. So in this case every time he rolls the die he has the same chance of getting 3 than he does any other number.
So Tom is incorrect.
And for how many times it will take Tom for all the numbers to occur is all by luck and chance.
But each number is equally likely to come.
please help, thank you!
Answers
Answer:
x = 6
Step-by-step explanation:
45°+45°+m∆2 = 180°
m∆2 = 90°
; m∆2 = 16x-6
90 = 16x-6
96 = 16x
96/16 = x
6 = x
Help Please !! I Need To Have This Turned In By The Next Hour , Anybody Know It !?
Answers
Answer:
no
Step-by-step explanation:
Step-by-step explanation:
Because lines are parallel you can use certain rules to determine the relationship of angle 1 & 2.
(A1 & A2 for short)
With the C shape within the parallel lines we can guarantee that the sum of A1 and A2 is equal to 180.
We can also assume A2 is less than 90° as the lines are parallel and the opposing, non parallel line is acute. With this knowledge and the C shape rule, A1 is therefore more than 90°.
Hope this helps
Finley is making a pancake recipe
that calls for 3 cups of flour. He uses
13 cups of white flour and the rest will
be wheat flour. How many cups of
wheat flour will Finley need?
Answers
arkadaşım bilemiyorum
what is the solution
3x-1/4 = -5/11
(3x-1)11 = -5(4)
33x-11 = -20
+11 = +11
33x = - 9
33x/33 = -9/33
x = -3/11
Answers
Answer:
3x-1/4=-5/1111 (3x-1)=4 (5)33x-11=2033x=20+1133x=31x=31/33x=?Lisa paint 3/8 of the room and Madison paint 1/5
how much more of the room did Lisa paint
Answers
Answer:
[tex]\huge\boxed{\frac7{40}\ more\ of\ the\ room}[/tex]
Step-by-step explanation:
To solve this problem, you need to find the common denominator.
To do this, simply multiply the first fraction by 5/5, and the second by 8/8 to get:
[tex]\frac15=\frac{1}{5}*\frac{8}{8} = \frac{1*8}{5*8} = \frac{8}{40}[/tex]
[tex]\frac38=\frac38*\frac55=\frac{3*5}{8*5}=\frac{15}{40}[/tex]
Thus, Lisa painted 7/40 more of the room than Madison.
Hope it helps :)
Davina travelled 500 miles in 7 days. What is the average
distance travelled each day?
Answers
71 is the answer
71 miles
Step by step explanation:
500:7 and u will have the average distance travelled each day
Mike earned x dollars the first week of his new job. He earned 5% more the second week than the first week. Which expression represents the total amount of money Mike earned for both weeks?
1.50x
1.50 x
1.05x
1.05 x
2.00x
2.00 x
2.05x
Answers
Answer:
1.05x I think
8) The height of a stack of CD cases is Proportional to the number of CDs in the stack. A stack of 6 CDs is 66mm high.* Find the unit rate**
a) How high is a stack of 10 CDs?
b) Write an equation that relates the height (y) of a stack of CDs and the number of CD cases(x) in the stack.
please help I will mark your answer as brainliest
Answers
Answer:
a) 110 mm
b) y = 11x
Step-by-step explanation:
The unit rate for 6 CD at 66 mm is
66mm / 6 CD = 11 mm per CD
a) 10 CD's
66 mm x mm
--------- = ------------
6 CD 10 CD
Using cross products
66 * 10 = 6x
660 = 6x
Divide by 6
660/6 = x
110 mm for 10 CD's
b) y = 11 x
We use the rate and multiply by the number of cases to get the height