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.
Learn more about payment on loan here:
https://brainly.com/question/13522402
Related Questions
The square root of a certain number is 9.5671 . The certain number is between which 2 integers?
Answers
Answer:
91 & 92
Step-by-step explanation:
Answer:
9.5671*9.5671=91.52940241
between 91 and 92
Hope This Helps!!!
Andrew is painting a wall on the side of his house. He has a 20 foot ladder wich makes a 79 degree angle with the ground. Standing on the second to past rung of the ladder, Andrew can reach 5 feet above the point where the ladder rests against the wall. How high up the wall can Andrew paint
Answers
Andrew can reach a maximum of [tex]24.6ft[/tex] high up the wall.
The right-angled triangle formed can be solved using the [tex]sine[/tex] ratio. that is
[tex]sin(72^\circ})=\dfrac{h}{20}[/tex]
where [tex]h[/tex] is the distance from the foot of the wall to the tip of the ladder where it rests on the wall. Substituting, and solving for [tex]h[/tex], we get
[tex]0.9816=\dfrac{h}{20}\\\\h=20\times0.9816\\\\h=19.632ft[/tex]
Since Andrew can reach an extra [tex]5ft[/tex] above the point where the ladder rests against the wall, the maximum height Andrew can paint is
[tex](19.632+5)ft=24.632ft\\\\\approx24.6ft[/tex]
Another solved word problem on trigonometry can be found here: https://brainly.com/question/12146092
How do you factor x³-9?
Answers
Answer:
(x² + 3)(x-3)
Step-by-step explanation:
Since the exponent is uneven you can take 2 and 1 and add them to the x's multiply to get 3 and since 9 is a perfect square you can square root it and get 3 which you put on both sides. Since the 9 is negative one of the symbols have to be negative, usually put in the second parenthesis.
Hope this helps!
(X-3)(x^2+3x+9)
The formula is (a+b)(a^2+ab+b^2) but the pluses and minuses follow SOAP
If y varies inversely with x and y = 5 when x = 4, which equation that relates x and y?
Select one:
Answers
Jack is 3 times as old as Lisa. If their ages together is 24, how old are they both?
Answers
Two shops, Waitroze and Budgins sell the same brand of cans of soup but with different offers.
Calculate the price for 24 tins at each shop.
Waitroze = 8 for £3.35
Budgins = 6 for £2.89
Answers
Answer:
24 cans at Waitrose would be £10.05.
24 cans at Budgins would be £11.56.
Step-by-step explanation:
Times the waitrose offer by 3
Times the budgins offer by 4
Hope that helped. x
2/10 = 20%= 0.2
True or false
Answers
Answer:
True
Step-by-step explanation:
PLEASE NO LINKS AND NO NEGATIVITY
Answers
multiply using the distributive property
Evaluate P(3, 3)
A. 1
B. 9
C. 6
Answers
Answer:
6
Step-by-Step explanation:
P (n,k) where n=k is equal to n!
So, P (3,3) = 3! = 6
Generally, P (n,k) = n!/(n-k)!
What is 1 4/5 times 2 1/3
Answers
Answer:
4.2
Step-by-step explanation:
4 1/2
Explanation:1 4/5 = 9/5
2 1/3 = 7/3
---------------------------
9/5 · 7/3 = 21/5 OR 4 1/2
Please Help Quickly I Need Help ASAP
Answers
Answer:
the first question is 2,0 and the second answer is 2,5
Step-by-step explanation:
The standard configuration for a Colorado license plate is 3 letters followed by 3 digits. How many different license plates are possible if letters and digits can be repeated?
Answers
Answer:
17,576,000 different combinations possible.
Step-by-step explanation:
Write the following expression as a sum and/or difference of logarithms. Express powers as factors.
log_b (u^9v^4) u>0, v> 0
Answers
Answer:
9log_b(u)+4log_b(v)
should be like that. let me know if iam wrong
What is the full length of the segment?
Answers
Answer:
2
Step-by-step explanation:
if the angle of the two triangles are the same,
6 is 2/3 of nine
Therefore,
2/3x3=2
henley needs to calculate the base of a trapezoid, b, given the area, a, in inches. She need to rearrange the formula a=16(b+4). Solve the formula for b in terms of a
Answers
Answer:
b = (a/16) - 4
Step-by-step explanation:
a = 16(b + 4)
a = 16b + 64
16b + 64 = a
16b = a - 64
16b/16 = (a/16) - 64/16
b = (a/16) - 4
Answer:
b = a/16 - 4.
Step-by-step explanation:
a=16(b+4)
b+4 = a/16
b = a/16 - 4.
Please find the surface area of the pyramid... I will mark you brainliest
Answers
Answer:
S.A. = 704 in²
Step-by-step explanation:
Surface area (S.A. ) = 1/2 lp + B where l is the slant height , p is the perimeter of the base, and B is the area of the base .
Given l = 14; The Base figure is a square so the p = 4· side = 4 · 16 = 64 and the area of the Base = s² = 256
S.A = 1/2 · 14 · 64 + 256
S.A. = 448 + 256
S.A. = 704 in²
PLEASE NO LINKS AND NO NEGATIVITY
Answers
Answer: bring the purple column to 5 and then green to 6
Step-by-step explanation: you need to divide which results you with 5/6
Answer: It takes john 1.2 months to read one book
Step-by-step explanation:
In - order to find out the answer we need to do [ months / books ] --> 12 / 10
what is 12 divided by 10 ? 1.2
PLEASE HELP ME
Solve 2x^2-x>15
Show your work
Answers
Answer:
x < -5/2 or 3 < x
Step-by-step explanation:
Subtracting 15 puts the relation into a more standard form:
2x^2 -x -15 > 0
(2x +5)(x -3) > 0 . . . . . factor
The zeros of these factors are x = -5/2 and x = 3.
For values of x between those values (-5/2 ≤ x ≤ 3), the product of these factors will be negative or zero. In order for the product to be positive, x must not be in that range.
The solution is ...
x < -5/2 or 3 < x
_____
Additional comment
Several methods are taught for factoring a quadratic expression. One of my favorite is using a graphing calculator to find the zeros. If p is a zero, then (x-p) is a factor.
Another way to approach the factoring of ax^2 +bx +c is to find factor pairs of the product (ac) that have a total of b. Here, that means finding factors of 2(-15) = -30 that have a sum of -1. Consider ...
-30 = (1)(-30) = 2(-15) = 3(-10) = 5(-6)
The sums of these pairs are -29, -13, -7, -1. With the values 5 and -6, you can rewrite the quadratic expression as 2x^2 +5x -6x -15. This can be factored by grouping pairs of terms:
x(2x +5) -3(2x +5)
(2x +5)(x -3) . . . . . . . the factorization we show above.
__
You can see on the graph that the quadratic is greater than 0 when x < -2.5 or x > 3.
How to derive Universal Law of Gravitation ?
Answers
Answer:
These are the answers
Step-by-step explanation:
The orbit of a planet is an ellipse, with the Sun at one of the two foci.
A line segment joining a planet and the Sun sweeps out equal areas during equal intervals of time.
The square of the orbital period of a planet is proportional to the cube of the semi-major axis of its orbit.
Hope it helped !
Answer:
The universal law of gravitation states that every particle attracts every other particle in the universe with a force that is directly proportional to the ...
Bernoulli formula: define focal length
Si unit of thrust: newton's third law of motion examples
in a class of 55 21 study physics 24 study geography and 23 study economics and physics. if x students study all three subjects and 2x study non of the subjects find
1 the value of x
2 the number of students that study only physics
3 number of students that study only 2 subjects
solve usind venn diagram
Answers
The total number of students who studied only two subjects is 13.
The given parameters:
Total number of students, n = 55 Number of physics students = 21Number of geography students = 24Number of economics students = 23Number of students for the 3 subjects, = xNumber of students who studied non = 2xThe number of students who studied only two subjects can be determined by applying overlapping three sets formula as shown below;
[tex]Total = n(phy) + n(geo) + n(econ) + n(none)- n(double) - 2(all \ subjects)\\\\55 = 21 + 24 + 23 + 2x-n(double) - 2(x)\\\\55 = 68- n(double)\\\\n(double) = 68-55\\\\n(double) = 13[/tex]
Thus, the total number of students who studied only two subjects is 13.
Learn more about overlapping three sets here: https://brainly.com/question/2041029
If F(x) = x - 7 and G(x) = x^3, what is G(F(x))?
=
A. x^3+ x - 7
B. X^3-7
C. (x-7)^3
D. x^3(x - 7)
Answers
Answer:
C
Step-by-step explanation:
6- 1/3 = decimal maths
Answers
Answer:
To get 6 1/3 in decimal form, we basically convert the mixed number to a fraction and then we divide the numerator of the fraction by the denominator of the fraction. Here are the detailed math steps we use to convert 6 1/3 mixed number to decimal form: Step 1:Multiply the whole number by the denominator: 6 × 3 = 18
Step-by-step explanation:
The value of the expression 6 - 1/3 will be 17 / 3.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The numbers are given below.
6 and 1/3
Then the difference between the numbers 6 and 1/3 will be given by putting a minus sign between them. Then we have
⇒ 6 - 1/3
⇒ (18 - 1) / 3
⇒ 17 / 3
The value of the expression 6 - 1/3 will be 17 / 3.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS
Answers
What is the equation please
Answers
Answer:
y = -2/5x - 2
Step-by-step explanation:
Answer:
y = 2/5x -2 or y = 0.4x -2
Explanation:
Step 1: Calculating Slope (m).
m = [tex]\frac{y2-y1}{x2-x1}[/tex]
m = [tex]\frac{0-(-2)}{5-0}[/tex]
m = [tex]\frac{2}{5}[/tex]
m = 0.4
Now putting value of m in equation (i)
y = 0.4x + b -----(ii)
Step 2: Calculating Y-intercept (b).
Lets choose the first point, (0,-2) for calculating y-intercept:
y = mx + b
-2 = 0.4(0) + b
-2 = 0 + b
-2 = b
b = -2
Now put the value of b in equation (ii)
y = 0.4x + -2
The Wilson family invited 100 relatives to their Christmas party. 90 guests had Dutch heritage, 80 had German heritage and 75 had English heritage. What is the minimum number of people who claimed ancestry from all three heritages? What is the formula i use to find out the answer of the question? and how do i find out the answer?
Answers
Answer:
Out off 100
Step-by-step explanation:
10 don't have dutch heritage.
20 don't have German heritage.
25 don't have English heritage.
100 - 55
At minimum, 45 people have all three heritages.
HELP PLZZ! DUE IN 15 MIN!! plz explain your answer to
Answers
Therefore, the chance of getting a 5 or 6 in the next turn is about 40%.
Hoped this helped
[tex]BrainiacUser1357[/tex]
Use the table from a random survey about the preferred service for streaming movies. Out of 750 people, how many would you expect to prefer Company B?
Answers
Answer:
The correct answer option is 192
Step-by-step explanation:
We are given the results of a random survey about the preferred service for streaming movies.
We are to find the number of people we would expect to prefer Company B.
Number of people using service B = 32
Total number of people = 125
Number of people expected to prefer Company B =32/125 x 750 = 192
Can someone help me with this please
Answers
Answer:
C) The difference between the 75th and 25th percentiles is 12 inches.
Step-by-step explanation:
The interquartile range is the length of the "box" in a "box and whisker" plot. One end is the 25th percentile, and the other end is the 75th percentile. It is the difference between the maximum and minimum of the middle 50% of the data.
For the baker's loaf-length data set, the interquartile range being 12 inches means the loaves in the 75th percentile are 12 inches longer than the loaves in the 25th percentile. This could be described by choice C.
What is the slope of the line that passes through the points (-5, -5 ?(−5,5)?
Answers
Answer:
undefined
Step-by-step explanation:
I'm assuming the points are (-5,-5) and (-5,5)
The formula to do slope is: (y2-y1)/x2-x1)
2 points: (x1, y1) (x2, y2)
So then:
(5-(-5))/(-5-(-5))=10/0
This shows that the line is vertical, which means that slope is undefined.
Answer:5/65/6
The slope of the line passing through the point (5,5) is 5/6.
Step-by-step explanation:
if valley middle school has 206 girls and the school has 450 what is the percent of how much girls are there?
Answers
Answer:
45.777777777778%
Step-by-step explanation:
Divide it
Hope this helps! ;)