Answer: $10.7
Step-by-step explanation:
The following can be deduced from the question:
Total cost of items = $130
Percentage of Sales tax = 8.25%
Sales tax = Sales tax percent × Cost
Sales tax = 8.25% × $130
Sales tax = 8.25/100 × $130
= 0.0825 × $130
= $10.725
= $10.7
A library has an initial late fee of $0.50 cents and charges an additional $0.05 per day. What is the rate of change?
Answer:
$0.05 per day
Step-by-step explanation:
So we know that the initial late fee would be $0.50. For every additional day, the fee increases by $0.05. The rate of change would be the rate at which the cost of the fee changes.
Note, the initial value does not affect the rate of change.
The initial late fee of $0.50 would not affect the rate of change, so we can ignore that piece of information.
Since the fee increases by $0.05 daily, $0.05 per day would be the rate of change.
I hope this helps.
Container I currently contain 4.6 gallons of water and is being filled at a rate of 1.2 gallons per minute. Container II currently has 54.6 gallons of water and is being drained at a rate of 0.8 gallons per minute. After how many minutes will both containers have the same amount of water?
Answer: After 25 minutes both containers will have the same amount of water.
Step-by-step explanation:
Let x = Number of minutes
y= Quantity of water
For container I, Quantity of water will be :
y = 4.6+ 1.2x
For container II, Quantity of water will be :
y = 54.6-0.8x
According to the question, we have
4.6+ 1.2x = 54.6-0.8x
Add 0.8x on both sides and subtract 4.6 on both sides , we get
1.2x+8x = 54.6-4.6
⇒ 2x = 50
Divide both sides by 2, we get
x= 25
So after 25 minutes both containers will have the same amount of water.
Step-by-step explanation:
Which fraction is in simplest form?
2-10
5-12
3-6
4-8
Answer:
5/12
Step-by-step explanation:
All of the other answers share at least one factor they can be divided by (the numerator in all cases). 5/12 however shares no factors and cannot be simplified anymore.
Which equation shows a proportional relationship between x and y?
Answer: y = 4x
Step-by-step explanation:
A proportional relationship is function that is a means of ratio.
Say, x equals 12, then y would equal 48. Or x = 5, then y = 20. Etc
what decimals round to 15 when rounding to the nearest whole number?
Answer:
14.5, 14.6, 14.7, 14.8, 14.8, 14.9, 15.0, 15.1, 15.2, 15.3, 15.4
Step-by-step explanation:
Let U = {q, r, s, t, u, V, W, X, y, z}
A = {q,S, U, W, y}
B = {q, s, y, z)
C = {v, w, x, y, z)
List the elements in the set.
A'UB
Answer:
b
Step-by-step explanation:
because I am good at this
The table shows the number of cups of liquid and the number of smoothies made.
Cups of Liquid 2 6 8 12
Number of Smoothies 5 15 20 30How many smoothies can be made from 1 cup of liquid?
Select one:
5 cups
2.5 cups
2 cups
10 cups
Answer:
2.5 cups
Step-by-step explanation:
Food bank usage in Britain has grown dramatically over the past decade. The number of users, in thousands, of the largest food bank in year t is estimated to be N(t) = 1.3e0.81t , where t is the number of years since 2006.25
(a) What does the 1.3 represent in this context? Give units.
(b) What is the continuous growth rate of users per year?
(c) What is the annual percent growth rate of users per year?
(d) Using only your answer for part (c), decide if the doubling time is more or less than 1 year.
Answer:
A) 1.3 represents the number of foodbank users in thousands in the year 2006
B) 0.81 per year
C) 124.79%
D) the doubling rate is less than a year.
Step-by-step explanation:
A) We are given N(t) = 1.3e^(0.81t) where t in thousands the number of years since 2006. N(t) is in thousands
Thus, in 2006,t = 0.
So, N(0) = 1.3e^(0.81 × 0)
N(0) = 1.3
Thus,1.3 represents the number of foodbank users in thousands in the year 2006
B) From the question, we see that the continuous growth rate is 0.81t.
This is 0.81 per year
C) The exponent of the growth rate is e^(0.81t).
Thus gives; 2.2479^(t)
This means the annual growth factor for each year is 2.2479.
Thus,annual percent growth rate is;
(2.2479 - 1) × 100% = 124.79%
D) From C above we saw that the annual percent growth rate is more than 100%. This means that it takes less than a year for the number of users to be doubled.. Thus, the doubling rate is less than a year.
Choose the equations that are not linear equations.
A. x/2-y^3=1
B. -x-y=2
C. x=5
D. x^2+y=4
Answer:
hello I'm getting free points
A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 4200 seats. The students filled 84% of the seats in the theater. How many 6th graders went on the trip?
You need to find 84% of 4200 to get the amount of students. First change the percent to a decimal, and multiply 0.84 x 4200.
There were 3528 total students at the theater.
Given the formula below, solve for x
Answer:
Step-by-step explanation:
Sorry but please give detailed question
find two consecutive numbers so that 3 times the smaller number is 43 more than 2 times the large number
Answer:
24 AND 48
Step-by-step explanation:
Write an equation in slope-intercept form that goes through the points (4, 4) and (1, 2).
Step-by-step explanation:
Hey there!
The given points are; (4,4) and (1,2) as (x1,y1) and (x2,y2).
Note: Use double point formula for the equation.
Now;
[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]
Put all values.
[tex](y - 4) = \frac{2 - 4}{1 - 4} (x - 4)[/tex]
Simplify it.
[tex](y - 4) = \frac{ - 2}{ - 3} (x - 4)[/tex]
[tex](y - 4) = \frac{2}{3} (x - 4)[/tex]
[tex](y - 4) = \frac{2}{3} x - \frac{2}{3} \times 4[/tex]
[tex]y = \frac{2}{3}x - \frac{8}{3} + 4 [/tex]
[tex]y = \frac{2}{3} x - \frac{8 + 12}{3} [/tex]
[tex]y = \frac{2}{3} x + \frac{4}{3} [/tex]
Therefore, the equation is; y = 2/3x+4/3.
Hope it helps...
I will give BRAINLIEST
Answer:
B
Step-by-step explanation:
Answer:
I think it is B :D
Step-by-step explanation:
A taxi cab charges a pickup fee of $5.00 and $2.50 for each mile.
If you have $25 to spend on the taxi cab, how far can you ride?
Answer:
12.5
Step-by-step explanation:
4c = d for c
Solve for indicated variable.
Answer:
c=1/4d
Step-by-step explanation:
Answer:
c = d/4
Step-by-step explanation:
solve this literal equation using inverse operations:
4c = d
/4 /4
c = d/4
Mr. Tonroy hired Michael to make balloon animals for the children who visited a carnival. Michael was paid a base fee of $100.00 plus a fee of $1.50 per balloon animal made. If Michael was paid $295.00, how many balloon animals did Michael make?
Answer:
130 balloons
Step-by-step explanation:
295-100= 195
195/1.5=130
The required number of balloons animals Michael made is 130
Given that,
Mr. Tonroy hired Michael to make balloon animals for the children who visited a carnival. Michael was paid a base fee of $100.00 plus a fee of $1.50 per balloon animal made. If Michael was paid $295.00, how many balloon animals did Michael make is to be determined
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Let the number of the balloons be x,
According to the question,
295 = 100 + 1.5x
1.5x = 295 - 100
1.5x = 195
x = 195 / 1.5
x = 130
Thus, the required number of balloons animals Michael made is 130.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
Which equations have infinitely many solutions? select all the correct
A x - 3x =-2x + 4
B x = 1/3 (3x) = 0
C 1/3x - 3 = 4 + 2x
D x = 1/3x + 2=0
Answer:
The answer is A, "x - 3x =-2x + 4"
Step-by-step explanation:
Hope This Helps
Answer:
B and D
Step-by-step explanation:
fill in the missing number in the table for the equation y= -3 + 2
y = -3x + 2?
Plug in the value x = 6.
y = -3(6) + 2
y = -18 + 2
y = -16
Hope this helps
If (8^9)p = 8^18, what is the value of p? (4 points)
2
9
10
18
Answer:
p is 2.
Step-by-step explanation:
Which one of the following words is a pronoun A) Two B) Him C) Boys D) Go
Answer:
I believe it is Him.
Step-by-step explanation:
Answer:
B) Him
Step-by-step explanation:
Him refers to someone else, and that is exactly what a pronoun does!
Given triangle ABC, determine the location of A' after a translation 2 units left and a reflection over the x-axis.
Answer:
(0,-3)
Step-by-step explanation:
left 2 puts you at (0,3) and flipping over x axis makes the y value negative, so it's (0,-3)
Round 7.3065 to 2 decimal places
Answer:
im pretty sure its 7.31
y - 1 = -4 (x + 1)
Please help thanks so much!
Answer:
[tex]y = - 4x - 3[/tex]
Step-by-step explanation:
[tex]y - 1 = - 4(x + 1) \\ y - 1 = - 4x - 4 \\ y = - 4x - 3[/tex]
Examine the operations above.
y=-15+3x
solve for x
Answer:
x=5+1/3y
Step-by-step explanation:
y=-15+3x
-3x=-15+y
Divide both sides of the equation by -3
x=5+1/3y
Gavin likes biking. This week his goal is to bike about 65 total miles over four days. Each day he wants to ride 1.5 times as far as he rode the day before. How far should he ride on each of the four days. Write the expressions for the distance Gavin needs to bike each day. Then relate these expressions to create an equation that represents Gavin's situation.
Step-by-step explanation:
let the first-day ride be x
Then the second-day ride will be =1.5 x
The third-day ride will be=1.5(1.5x)
The Fourth-day ride will be=1.5*1.5(1.5x)
hence for the four days the distance covered is
65=x+1.5x+1.5*1.5x+1.5*1.5*1.5x
65=x+1.5x+2.25x+3.375x
65=8.125x
divide both sides by 8.125 we have
x=65/8.125
x=8mile
the first-day ride be x=8miles
the second-day ride will be =1.5 x =1.5*8= 12miles
The third-day ride will be=1.5(1.5x) = 18miles
The Fourth-day ride will be=1.5*1.5(1.5x) = 27miles
Help pls i don’t wanna get a bad grade :(
Answer:
the answer is d
Step-by-step explanation:
because the time x(sec) is 10 and all the way down and the height y(ft) is 40 and all the way down also because if you keep mulitplying you get the answer for d like 20 X 5 = 40 and 5 X 2= 10
HOPE THIS HELPS :) :) HAVE A NICE DAY
Kasey colloectes 85 out of 120 pokimon cards. Write this as a decimal.
Answer:
About 71%.
Step-by-step explanation:
Divide 85 by 120.
It's .708333333 (3 repeating.)
What is the value of 7×7+23
Answer:
72
Step-by-step explanation:
7x7 = 49
49 + 23 = 72
PEMDAS causes the multiplication to come before the addition.
Given the functions f(x) = 2x2 +5 and g(x) = 8+x find go f(-5)
A. 63
B.3.
C.2
D.23
Answer:
A. 63
Step-by-step explanation:
Given functions:
f(x) = 2x² + 5
g(x) = 8 + x
find:
g o f(-5)
Solution:
Start first by finding f(-5);
f(x) = 2x² + 5
= 2(-5)² + 5
= 50 + 5
= 55
Now
g o f(-5);
g(55) = 8 + 55 = 63