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
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
I need help on this, thank you in advance
Answer:
65
50
Step-by-step explanation:
yeah-ya........ right?
What’s the an and the a10
Answer:
an = -6 + n
a10 = -6+ 10 =4
Step-by-step explanation:
an should start at one behind the first number so it should be -6. Then we add whatever the sequence is increasing by, which is 1 in this case, multiplied by n.
an = -6 + n
a10 = -6+ 10 =4
A print shop charges $20 to set up the graphic for printing t-shirts. The store then charges $12 per shirt for purchasing up to 10 shirts. The charge decreases to $10 if a customer purchases 10-20 shirts. If a customer purchases more than 20 shirts, each shirt will cost $7. What will it cost a soccer team to have 15 shirts printed?right and grab a piecewise function that models the situation answer the question
Answer:
see below for the piecewise function$170 for 15 shirtsStep-by-step explanation:
The cost function c(n) for n T-shirts can be written according to the problem statement:
[tex]c(n)=\begin{cases}20+12n&\text{for }n<10\\20+10n&\text{for }10\le n\le20\\20+7n&\text{for }n>20\end{cases}[/tex]
For an order of 15 shirts, the cost will be ...
c(15) = 20 +10(15) = 170
The soccer team's 15 shirts will cost $170.
What is the opposite number of -5.23
Answer:
5.23
Step-by-step explanation:
The opposite of a number is the opposite signs,
the opposite of negative is positive and the opposite of positive is negative,
so the opposite of negative 5.23 is positive 5.23.
Arrange in descending order: 101.121, 111.101, 101.112, 110.111
Answer:
111.101, 110.111, 101.121, 101.112
Step-by-step explanation:
Descending order means values starting with big ones and ending with the small ones.
So, in this case,
111.101, 110.111, 101.121, 101.112Hope it helps :)
Can someone please help me with this and I’ll give you a lot of points
Answer:
C
Step-by-step explanation:
6x² = 7xy + 20y² where x ˃ 0 and y ˃ 0
Find the ratio x : y
Complete the table for this equation.
y=x−3
Enter your answers by filling in the boxes.
x y
5
6
7
8
9
Answer:
5 => 2
6 => 3
7 => 4
8 => 5
9 => 6
Answer:
2,3,4,5,6
Step-by-step explanation:
y = 5 - 3 = 2
y = 6 - 3 = 3
y = 7 - 3 = 4
y = 8 - 3 = 5
y = 9 - 3 = 6
Add the following: (i) 2a+b+c, a - b -c, 3a + b
The extended warranty on a $885 washer is 15% of the purchase price and lasts for five years. What is the effective cost per year of the extended warranty?
(use a dollar sign and 2 decimal places)
Answer:
8.85
Step-by-step explanation:
Kayla was asked to rewrite the polynomial expression x ^ 2 + 5x + 9 she rewrite the polynomial ? How could she rewrite with the polynomial?
Answer:
x²+6x+9
x²+3x+3x+9
x(x+3)+3(x+3)
=(x+3)(x+3)
(a) The area of a rectangular garden is 5658 m?.
If the width of the garden is 69 m, what is its length?
(b) The perimeter of a rectangular window is 262 cm.
If the length of the window is 73 cm, what is its width?
A) Length is 82 m
B) Width is 58 cm
Hope this is helpful!
what are the next three terms in the sequence below? 2, 5, 10, 50, ___, ___, ___
Answer:
2, 5, 10, 50, 55, 275, 280
Step-by-step explanation:
hope this heled you.. :)
-7ab + 6b - 3ab - 4b - 3ab
Please help!!!! :) thank you!
Answer:x-3
Step-by-step explanation:
Which is the sum of two or more different monomials?
Answer: Polynomial
Step-by-step explanation:
Glven the function f(x) = (x-2)2 + 13, what is the equation of the new
function if it is translated to the left 5 units and moved down 7 units.
Q. If the graph of the parent function f(x) = x is shifted 7 units down, which of the following equations would the new graphed line represent?
I don’t get this at all ♂️
Sarah is 2 inches taller than the quotient of billy’s height and 5. Let b represent Billy’s height. write an expression that represents Sarah’s height
So, this has many steps to it.
This part is to let us know what symbols we should use (VERY IMPORTANT)
1. Since you know that Sarah is two inches taller, we would use a + sigh in our expression
2.Then you look for the key word which is quotient and that means to divide
All of our symbols are in now. Time for the next step
This part us know what we are dividing and adding.
Now 2+ b/5
Answer:
[tex]2 + \frac{b}{5} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Evaluate the expression 4(2x + 6) when x = 4.5 *
122
60
42
12
Answer:
The solution to the expression with x = 4.5 is 60.Step-by-step explanation:
Given:
x = 4.5Work:
4(2x + 6)=> 8x + 24=> 8(4.5) + 24=> 36 + 24=> 60Hence, the solution to the expression with x = 4.5 is 60.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Solve: 2sec(x) 5 = 9 Which equation is equivalent to the given equation?.
Answer
9=5 equivalent
Step-by-step explanation:
Answer:
A. cos(x) = 1/2
Step-by-step explanation:
2sec(x) = 9-5 = 4
sec(x) = 4/2 = 2
1/cos(x) = 2
cos(x) = 1/2
What is 2/3 – (-2/3)
Answer:
2/3 - (-2/3)
=0.66 - (-0.66)
=0.66+0.66
= 1.32
In Substitution
3+2x-y=0
-3-7y=10X
Answer:
i think x = -1, y = 1
Step-by-step explanation:
3+2x-y=0
so 3+2x = y
-3-7y=10X
-3-7(3+2x) = 10x
-3-21-14x = 10x
-24-14x = 10x
-14x-10x = 24
-24x = 24
x = -1
3+2x = y
so 3+2(-1) = y
3+(-2) = y
1 = y
SO x = -1 and y = 1
Eva earns $5.50 per hour and time-and-a-half for overtime for all hours over 40 hours. How much did she earn the week she worked 47 hours?
Answer:
$277.75
5.50×40=220
5.50÷2=2.75
5.50+2.75=8.25×7=57.75
57.75+220=277.75
DON'T SEND A LINK AND JUST ANSWER IT PLZ
Answer:
height = 10 , area = 240 units²
Step-by-step explanation:
The diagonal splits the rectangle into 2 right triangles.
Using Pythagoras' identity in the right triangle formed
with hypotenuse h = 26 and legs 24 and height x , then
x² = 26² - 24² = 676 - 576 = 100 ( take square root of both sides )
x = [tex]\sqrt{100}[/tex] = 10
Height = 10 units
area of rectangle = 24 × 10 = 240 units²
Based on the information in the table, how much will Henry earn if he worked 7 hours?
A
$48
+
B
$72
С
$9
D
$63
Answer:
D.
Step-by-step explanation:
Which function is represented by the graph?
The parent absolute value function is translated
3 units and Y 1 unit.
The function that is graphed is f(x) =
The parent absolute value function is translated 3 units left and 1 unit up.
The function that is graphed is [tex]f(x) = |x + 3| +1[/tex]
The parent absolute function is given as:
[tex]y =|x|[/tex]
When a function is translated 3 units left, the rule of transformation is:
[tex](x,y) \to (x + 3,y)[/tex]
So, we have:
[tex]y = |x + 3|[/tex]
When a function is translated 1 unit uo, the rule of transformation is:
[tex](x,y) \to (x,y+1)[/tex]
So, we have:
[tex]y = |x + 3| +1[/tex]
Express as a function
[tex]f(x) = |x + 3| +1[/tex]
Hence, the function that is graphed is [tex]f(x) = |x + 3| +1[/tex]
Read more about transformation at:
https://brainly.com/question/1548871
Answer:
left,up, lx+3l+1
Have fun
The oxygen atoms in the thermosphere absorb high-energy solar radiation and convert it into heat energy.
true
false
Step-by-step explanation:
Nitrogen and oxygen absorb solar radiation and release thermal energy, which causes temperatures in the thermosphere to be 1000 °C or higher. When most people think of an area that has high temperatures, they think of a place that is very hot. Although the thermosphere has very high temperatures, it does not feel hot. The answer is true
Write the equation of the line that is perpendicular to y=3x-6 and passes through the point
x, y
(2,0)
Perpendicular is the negative reciprocal so the slope is -1/3
Need to know b and the full equation
With work please. Thank you!
Answer:
y=-1/3x+2/3 (please mark brainliest)
Step-by-step explanation:
start with y=3x+6
you can get the slope of the perpendicular line by dividing the slope by -1,
so the slope of the new line is -1/3.
using the point and the slope of the new line, we can put it into point-slope form:
y-y₁=m(x-x₁)
y-0=-1/3(x-2)
simplify:
y=-1/3x+2/3
this is the final equation in the form y=mx+b