Shelley wants to purchase a cell phone package, which includes a free phone. The cost of the package is $0.10 per minute, for the number of minutes she uses the phone, plus a base rate of $89.00.
Answers
Answer:
The function would be linear because the rate of change is constant.
Step-by-step explanation:
Given
[tex]Base= \$89.00[/tex]
[tex]Rate = \$0.10[/tex] per minute
See attachment for complete question and options
First, we write the function that calculates the cost (C(t)) for t minutes.
This is calculated as:
[tex]Cost = Base + Rate * t[/tex]
[tex]C(t) = 89.00 + 0.10 * t[/tex]
[tex]C(t) = 89.00 + 0.10t[/tex]
Rewrite as:
[tex]C(t) = 0.10t + 89.00[/tex]
A function that has the above format is referred to as a linear function which has the general format
[tex]f(x) = mx + b[/tex]
Where
m represents the slope/rate and it is constant
From the list of given options, (a) is correct.
Related Questions
The cost of every college is expected to increase 3.5%
next year.
The cost to attend Faber College is currently $24000.
If the percentage increase stays constant, what will the
cost be in TWO years?
Answers
Answer:
25,709.4
Step-by-step explanation:
First you would multiply 3.5 x 24,000, and then divide by 100, to get 840, and then add that to the original amount to get 24,840, and that is the cost for one year. And then you would multiply 24,840 by 3.5 and then divide by 100 to get 869.4. Finally just add that to 24,840 to get 25,709.4, and that is the cost for 2 years. I hope this helps :)
The cost of college in two years is $25709.4.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Cost of Faber college = $24000
Rate of increase = 3.5%
The cost of college after one year.
= 103.5% of 24,000
= 103.5/100 x 24000
= $24,840
The cost of their college after two years.
= 103.5% of 24,000
= 103.5/100 x 24,840
= $25709.4
Thus,
The cost of college in two years is $25709.4.
Learn more about percentages here:
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1. Elijah's puppy weighs 35 ounces. If he weighed 20 ounces at the last visit to the veterinarian's office, what is the percent increase in the
puppy's weight?
The percent increase is type your answer...
Answers
Answer:
75 percent
Step-by-step explanation:
percent increase = increase/original ×100
= (35-20)/20 ×100 =15/20 ×100= 15×5= 75
I have to find slope-intercept equation
Answers
Answer:
y = 4x - 9
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
the y-intercept is when the line crosses the y axis, and in this case we can see it at "-9"
The slope we can do rise over run "r/r" ot "y/x"
r/r = 4/1 = 4
The line is positive since its going up
y = 4x - 9
Hope this helped!
Have a supercalifragilisticexpialidocious day!
2/3 times what equals 3
Answers
Answer:
Should be 5 or 6
Step-by-step explanation:
I wanna cry Joseph pls answer this
Answers
I ain't Joseph but what's wrong?
which number has a square root between 3 and 4
Answers
Answer:
12.25 is one possible number but any number between 9 and 16 works (although the square root may not always be a whole number)
Step-by-step explanation:
A number between 3 and 4 is 3.5.
3.5² = 12.25
If I was doing -3n - 24
Answers
Find the product (4x -3y)^3
Answers
Answer:
babooshka
Step-by-step explanation:
What is the x value in the follow system?
3x - y = 7
2x + y = 3
Answers
Answer:
x=2
Step-by-step explanation:
Multiple Choice
A car travels 172 miles using 7 gallons of gas. At that rate, how far can the car travel using 42 gallons of gas?
A. 1,032 miles
B. 1,548 miles
C. 1,204 miles
D. 1,376 miles
Answers
PLEASE HELP ITS DUE SOON
Answers
2) T
3) U
4) V
5) TU
6) MJ
7) 5
Sophia is paid $12 per hour to babysit. Which equation represents how much money Sophia earns, d, when she babysits for h hours?
Answers
Answer:
D=12h
Step-by-step explanation:
HELP NEED THIS NOW
A laptop has a listed price of $804.99 before tax. If the sales tax rate is 7.75%, find the total cost of the laptop with sales tax included.
Round your answer to the nearest cent, as necessary.
Answers
Answer:
$867.37Step-by-step explanation:
tax rate = 7.75%sale prize = $804.99tax = (804.99 × 7.75) / 100 = 62.38amount with tax = $804.99 + $62.38 = $867.37MARK ME AS BRAINLISTExpress 432 as a product of powers of its prime factors.
Answers
We can see easily this is an even number, so let's first divide by 2.
432=2*216
We can see the remaining 216 is still even so we continue.
432=2*2*108
And continue
432=2*2*2*54
and continue
432=2*2*2*2*27
Now we can see that 27 is a multiple of 3 in fact its 3^3.
So we can conclude that 432=[tex]2^4*3^3[/tex]
Nathan buys coffee and hot chocolate for his co-workers. Each cup of coffee costs $1.75 and each cup of hot chocolate costs $1.00. If he pays a total of $14.50 for 10 cups, how many of each does he buy?
Answers
Answer:
6 cups of coffee
4 cups of hot chocolate
Step-by-step explanation:
x=number of cups of coffee
y=number of cups of hot chocolate
1.75x+1y=14.5
x+y=10 y=10-x
substitute for y
1.75x+10-x=14.5
0.75x=4.5
x=6
y=10-6=4
Yo can somebody help??
Answers
1/4
I hope this helped! please mark brainliest and vote 5 stars >:)
it is 1/4 because the patten is minus 1
Appreciate it if someone could answer and explain. I’ll give brainliest. Thanks :)
Answers
Answer:
47 . 9 cm
Step-by-step explanation:
c = 22cm
22 pie ( their is no pie symbol on my so I said pie ) / 360
X = 8.25 pie cm
p = 22 + 8.25 pie
47.9 cm
WE SCORED 17/22 on the test BOIS LES GOOOOOOOOOOOOOO TY FOR EVERYONE THTA HELPED YSTERDAY!!
Answers
Answer:
Good job
Step-by-step explanation:
Solve this problem, and identify the percent, amount, and base.
What percent of 60 is 45?
Answers
The percentage is 75%, the amount is 45 and the base is 60 so option (D) will be correct.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
The percentage is just like the amount of that value but between 1 to 100 and it is very useful to predict for example if you say 678 then we have to know about the full number also but if you say 80% then it becomes clear.
Given that 45 is some percentage of 60
So, 60 will be the base because we are calculating the percentage of it and the amount will be 45.
Let's say 45 is x percentage of 60
Then,
60 × x/100 = 45
x = 4500/60
x = 75%
Percentage will be 75
Hence "The percentage is 75%, the amount is 45 and the base is 60".
For more about the percentage,
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18 increased by twice a number
Answers
Answer:
18+2x
Step-by-step explanation:
Let the number be x.
Translate: 2x + 18 = x - 4.
Subtract x from each side: x + 18 = -4.
Subtract 18: x = -22.
Check: 2(-22) + 18 = -44 + 18 = -26; -22 - 4 = -26.
8 increased by twice a number = 18+2x
What is a linear equation?A linear equation has one or two variables.
No variable in a linear equation is raised to a power greater than 1.No variable is used as the denominator of a fraction. A linear equation is defined as an equation that is written in the form of ax+by=c. When solving the system of linear equations, we will get the values of the variable, which is called the solution of a linear equation.solving this we will get the valve of Y if x is given.
Learn more about linear equations here:-https://brainly.com/question/14323743
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I need help pls
What is angle 3
Answers
Answer:
Step-by-step explanation:
4x + 6 + 3x + 21 = 8x + 7
7x + 27 = 8x + 7
-x + 27 = 7
-x = -20
x = 20
m<3= 8(20) + 7
160 + 7 = 167
m<1= 4(20) + 6 = 80 + 6 = 86
m<2= 3(20) + 21 = 60 + 21 = 81
0.8 divided by 62 please help asap pls
Answers
Answer:
77.5
Step-by-step explanation:
Answer:
77.5
Step-by-step explanation:
Five friends share 3 pizzas equally.How much pizza does each friend get?
Answers
Answer:
Each friend gets 3 slices each.
Step-by-step explanation:
the exponent form of 3 root 7
Answers
Answer:
The exponent form of 3 root 7 is 7.94
a number plus 6 is greater than 1
Answers
Answer:
x>-5
Step-by-step explanation:
First, you have to write the equation: x+6>1
Then you just subtract 6 on both sides: x>-5
I need a real and explained answer.
Answers
180-115=65
X=65 degrees
21) your given 34 and 56 = 100
180-100
X=80 degrees
22) the pink square is a right angle. Right angles are 90 degrees. So 90+53=143
180-143
X=37 degrees
23) the two angles you’re given are 25 and 102 = 127
180-127
Measure of angle Q is 53 degrees
does anyone know the answer
Answers
Answer:
(1,2)
Step-by-step explanation:
easy lol
brainliest??
What are you trying to find?
Answer: (1,2)
2 + 1 = 3
2 - 1 = 1
Pls help this is my last problem and I need to pass this class?!?
Answers
Answer:
A = 50°
Step-by-step explanation:
[tex](2x - 10) + (x + 30) + 70 = 180 \\ 2x + x = 180 + 10 - 30 - 70 \\ 3x = 90 \\ x = \frac{90}{3} \\ x = 30[/tex]
Then
[tex]a = 2x - 10 \\ a = 2(30) - 10 \\ a = 60 - 10 \\ a = 50[/tex]
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Triangles.
Since we know that, the Angle sum property of a triangle is equal to 180°.
means that, <A + <B + <C = 180°
so we can write as,
==> 2x-10 + x + 30 +70 = 180°
===>3x +90 = 180
==> 3x = 90
hence, x = 30°
so now, substitute angle x,
So angle A is => 2(30)-10 => 60-10 = 50°
hence Angle A = 50°.
The number of people who voted for the Green Party in an election was 1500
The number of people who voted for the Blue Party was 9000.
Write the ratio of Green Party voters to Blue Party voters in its simplest form
Answers
Answer:
1:6
Step-by-step explanation:
1500:9000
=150:900 (divide by ten)
=15:90 (divide by ten)
= 1:6. (divide each number by 15)
If it takes a person 2 hours to drive 100 km, how fast (what speed) were they driving?
Answers
Answer: 50km/hour
Step-by-step explanation:
Answer:
50 km an hour
Step-by-step explanation:
if the person is traveling 100 km an hour, we can divide the distance by the time, to find out how fast they were traveling
100 divided by 2 = 50
the person was traveling 50 km an hour
