John is going to start saving $20 every month to buy a new IPod. His parents gave him $10 for his birthday to open his savings account. The equation y = 20x + 10 represents John’s savings account balance x months after be began saving.a) How many months will it take John to save enough money for the $300 IPod? Explain.
b) If John saved $40 per month instead of $20, how would you expect the slope of the graph to change? Explain.
Answers
a) The number of months for the saving of $300 will be 14¹/₂.
b) The slope of the saving of $40 will be y = 40 x + 10
What is an equation of the line?
An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that John is going to start saving $20 every month to buy a new iPod. His parents gave him $10 for his birthday to open his savings account. The equation y = 20x + 10 represents John’s savings account balance x months after he began saving.
Part (a),
The number of the months will be calculated as,
y = 20x + 10
300 = ( 20 x + 10 )
290 = 20x
x = 14¹/₂ months
Part(b),
The slope will be 40 for the saving of $40.
To know more about an equation of the line follow
#SPJ2
Answer A: It would take fifteen months, or one year and three months, to get three hundred dollars.
Answer B: It would take seven and a half months to get three hundred dollars at this rate. It would also change the slope by making it go down more.
Step-by-step explanation:
Three hundred divided by twenty equals fifteen, which represents the amount of months.
If you do the same thing with the other ratio, but change twenty to forty, you get seven and a half.
Have a nice day!
Related Questions
What is the combined version of the equations 5.2*10^6 and 2.47*10^8
Find the surface area of a bar of soap if the diameter is 5 cm and the height is 2cm .
If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).PLZZ HELPPP
PLS HELP ASAP((attachment))
Answers
Convert everything to exponential form, and then use the rules for working with exponents.
cube root of 5 = 5^⅓
²√5 = 5^½
cube root of 5 to the power of 5 =5^(5/3)
Therefore, cube root of 5 multiplied by square root of 5 over cube root of 5 to the power of 5 = 5^(⅓ + ½ - (5/3)) = 5^{(2 + 3 - 10)/6} = 5^(-5/6)
The answer should be 5 to the power of negative 5 over 6
Answer:
5^-5/6 d
Step-by-step explanation:
Answers
Answer: 1 solution at (2.8, 7)
Answer:
All real numbers
Step-by-step explanation:
Take 2y=10x-14 and divide both sides by 2. Once you do that, you get y=5x-7. Use substitution and plug that into 5x-y=7. You get 5x-(5x-7)=7 which eventually simplifies to 7=7 which shows that you can plug in an infinite number of solutions so the answer is all real numbers.
Answers
Answer: 3x2 + 51x
Step-by-step explanation:
The formula of the sum of the arithmetic sequence:
calculate:
substitute
Your answer is:
extra-large popcorn that costs $5. If Ms. Cassidy has $395 to spend on tickets,
will she have any leftover money to buy the extra-large popcorn? Explain why or
why not on the lines below.
Answers
Answer: 64 tickets with $5 left for the extra-large popcorn.
Explanation:
To solve this, we can divide $395 by 6. If the remainder is greater than or equal to 5, she can afford the popcorn. If not, she won't be able to. See attached for the long division. This shows she can buy 65 tickets with $5 left for the popcorn.
Answer:
To determine whether Ms. Cassidy will have any leftover money to buy the extra-large popcorn, we need to calculate the total cost of the movie tickets and compare it to the amount of money she has.
Let's assume Ms. Cassidy buys 'x' tickets. Each ticket costs $6, so the total cost of the tickets can be calculated as 6x.
Given that Ms. Cassidy has $395 to spend on tickets, we can set up an equation:
6x = 395
Now let's solve for 'x':
x = 395 / 6 ≈ 65.83
Since we cannot have a fraction of a ticket, we can round down to the nearest whole number:
x = 65
So Ms. Cassidy can buy a maximum of 65 tickets with $395.
Now, let's calculate the total cost of 65 tickets:
Total cost = 6 * 65 = $390
Since the total cost of the tickets is $390, which is less than the $395 Ms. Cassidy has, she will have some money leftover.
The question states that if she has any extra money left after buying tickets, Ms. Cassidy will buy an extra-large popcorn that costs $5. Since she has $5 left after buying the tickets, she will be able to buy the extra-large popcorn.
Therefore, Ms. Cassidy will have enough money ($5) to buy the extra-large popcorn after purchasing the tickets.
Step-by-step explanation:
Answers
The function graphed here is an exponential decay function.
Becasue an exponential decay function is characterized by a curve that starts in quadrant 2 and decreases as it moves into quadrant 1. It crosses the y-axis at a positive value and approaches y = 0 as it continues into quadrant 1. This behavior matches the description given in the question, so we can conclude that the function graphed is an exponential decay function.
Answers
1. Write the formula
tan(a) = y ÷ x
2. Rewrite to include the known values.
tan(79.9) = y ÷ 100
3. Solve for the unknown variable, y.
tan(79.9) × 100 = y ÷ 100 × 100
tan(79.9) × 100 = y
4. A fancy step that I call the "flip flop."
y = tan(79.9) × 100
5. Use a calculator to find the value (make sure the calculator is in "degree" and not "radians" mode).
y = 561.3968
6. Round the number as is appropriate for this problem.
Have a great day!
so you have a right triangle
base=100 ft
from wher you are standing, it is a 79.9 angle to the top
we want to find the height of the tower or the opposite side
the base is the adjacent side so you are looking for o/a or tan(79.9) since you know one of the sides so therefor
tan(79.9)=h/100
evaluate tan(79.9)
tan(79.9)=5.61396
5.61396=h/100
multiply both sides by 100
561.396=h
round to tenths place
561.4
the height=561.4 ft