The new total after the 13% discount has been applied to a bill of £39 is £33.93.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
To calculate the new total after the discount, we need to first find the amount of discount applied to the original bill.
We can do this by multiplying the original bill by the discount rate (as a decimal):
Discount = 0.13 * £39 = £5.07
Therefore, the amount of the discount is £5.07.
To find the new total, we need to subtract the discount from the original bill:
New total = £39 - £5.07 = £33.93
Therefore, the new total after the 13% discount has been applied to a bill of £39 is £33.93.
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Please help (brainless). A coffee cup holds 0.385 Liters. How many milliliters will 6 cups of coffee hold.
Answer:
Below
Step-by-step explanation:
.385 liters = 385 milliliters
SIX of these would be 385 ml * 6 = 2310 ml
A house is purchased at a price of $340,000. The bank requires a 10% down payment. The current mortgage rate is 5.3%. What is the monthly payment for a 30 year mortgage in this scenario? a $1572 b $1826 c $1699 d $1043
The monthly payment for a 30-year mortgage in this scenario is $1,713.78.
What are Percentages?
Percentages are a way of expressing a proportion or ratio in terms of a fraction of 100.
To solve this problem, we can use the formula for calculating the monthly payment for a mortgage:
[tex]M = P[r(1+r)^n/((1+r)^n)-1][/tex]
where M is the monthly payment, P is the principal (the amount borrowed), r is the monthly interest rate, and n is the number of monthly payments (the term of the loan in months).
First, we need to calculate the down payment, which is 10% of the purchase price:
Down payment = 0.1 x $340,000 = $34,000
The principal is the purchase price minus the down payment:
Principal = $340,000 - $34,000 = $306,000
Next, we need to calculate the monthly interest rate. The annual interest rate is 5.3%, so the monthly interest rate is:
r = 0.053/12 = 0.00441667
Finally, we need to calculate the number of monthly payments. A 30-year mortgage has 360 monthly payments (30 years x 12 months per year).
n = 360
Now we can plug in these values into the formula and solve for M:
[tex]M = \$306,000[0.00441667(1+0.00441667)^360/((1+0.00441667)^360)-1][/tex]
M = $1,713.78
Therefore, the monthly payment for a 30-year mortgage in this scenario is $1,713.78.
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A recipe for a lemonade punch calls for 6 cups of lemonade for every 24 cups a punch circle the name of the student who wrote an equation that can be used to find X the percentage of lemonade in the recipe
Answer:
Elizabeth
Step-by-step explanation:
Her answer shows the ratio of 6:24- lemonade to punch.
As a landscaper, you are treating a client’s lawn with fertilizer. To prepare the correct amount of fertilizer, you need to know the area of the lawn. You measure the length of the rectangular lawn to be 37 feet and the width to be 21 feet.
What is the area of the lawn to the nearest square foot?
58
116
389
777
800
*4 EASY GEOMETRY TRIG QUESTIONS FOR 50 POINTS*
I need help :'(
Someone give me the answer please i have been stuck on these for forever!
Very appreciated <3
A technology salesperson earned $4008 commission on the sale of video equipment. If he earns 6% on all sales, what amount of video equipment did he sell?
Answer: We can start by using the formula for calculating commission:
Commission = Rate x Sales
where Rate is the commission rate and Sales is the amount of sales.
In this case, we know the commission earned ($4008) and the commission rate (6%), but we don't know the amount of sales. We can set up an equation and solve for Sales:
$4008 = 0.06 x Sales
Dividing both sides by 0.06, we get:
Sales = $4008 ÷ 0.06 = $66,800
Therefore, the salesperson sold $66,800 worth of video equipment.
Step-by-step explanation:
When rolling a 6-sided die twice, determine P(sum of 6).
12
36
7
36
LO
5
36
2|6
The probability of getting sum of 6 is C)5/36.
What is probability?
Probability is a way of calculating how likely something is to happen. It is difficult to provide a complete prediction for many events. Using it, we can only forecast the probability, or likelihood, of an event occurring. The probability might be between 0 and 1, where 0 denotes an impossibility and 1 denotes a certainty.
We know that,
Probability of event = number of favorable outcome/ Total outcome
When a 6 sided dice die twice then
Total number of outcome = 6*6=36
Favorable outcome is a sum of 6, Ways of obtaining a sum of 6
(1,5), (5,1), (2,4),(4,2) and (3,3). Thus, there are 5 ways in which 6 can be obtained using rolling dice twice, Then
=> P(sum of 6 )=5/36
Hence the correct option is C)5/36.
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if tempio can squirt 4 times more than zacarias and zacarias only can squirt 20 meters how far can mrs tempio squirt
Mrs. Tempio can squirt 4 times as far as Zacarias can, therefore if Zacarias can only squirt 20 metres, Mrs. Tempio can squirt 4 * 20 = 80 metres.
How was who can squirt longer determined?Let's break down the issue to see why. We are aware of Zacarias' 20-meter squirt distance as well as Mrs. Tempio's 4-times-greater squirt distance. Thus, if we write up the following equation and assume that x is the that Mrs. Tempio may squirt:
x = 4 * 20
When we simplify this equation, we obtain:
x = 80
Mrs. Tempio can squirt 80 metres as a result.
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Lines m and n are parallel. Which list of angles are all congruent to angle 1?
A. 3, 5, 7
B. 2, 4, 6
C. 4, 5, 6
D. 8, 4, 1
23. ECONOMICS In 2000, the demand for nurses was 2,000,000, while the supply was only
1,890,000. The projected demand for nurses in 2020 is 2,810,414, while the supply is
only projected to be 2,001,998.
a. Define the variables, and write equations to represent these situations.
b. Use substitution to determine during which year the supply of nurses was equal to
the demand.
Answer:
Step-by-step explanation:
a. Variables:
D0 = Demand for nurses in 2000 = 2,000,000
S0 = Supply of nurses in 2000 = 1,890,000
D2020 = Projected demand for nurses in 2020 = 2,810,414
S2020 = Projected supply of nurses in 2020 = 2,001,998
Equations:
For 2000: D0 = S0
For 2020: D2020 = S2020
b. Using substitution, we can set the two equations equal to each other:
D0 = S0
2,000,000 = 1,890,000 + m(S0 - 1,890,000) (where m is the rate of increase in supply)
m = 0.063
Now we can use this value of m to find out during which year the supply of nurses was equal to the demand:
2,000,000 = 1,890,000 + 0.063(S - 1,890,000)
S = 2,013,008
Therefore, the supply of nurses was equal to the demand in the year 2013.
A principal is ordering pizzas for a school pizza party. He knows that 9 pizzas will feed 25 students. If there are 300 students in the school, how many pizzas will he need to order?
SHOW THE WORK AND HOW YOU GOT THIS ANSWER!!!!
The principal will need to order 108 pizzas to feed 300 students.
We may set up a proportion to determine how many pizzas are required to feed 300 students if 9 pizzas feed 25 students:
25 pupils × 9 pizzas = x pizzas / 300 students
where x is how many pizzas are required to feed 300 kids.
We can cross-multiply and simplify to find x's value:
300 kids times 9 pizzas equals 25 students (x pizzas)
2700 = 25x
x = 2700 / 25
x = 108
In order to serve 300 pupils, the principal will have to order 108 pizzas.
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Your friend Susie goes into the same car dealership and tells them she has a budget of $300/month. She is interested in the same Chevy Cruze that is on sale for $16,000. She has a poor credit score and only qualifies for a 72-month 10% APR loan with No Down Payment. What is her monthly payment? Did she stay within budget?
How much would the car cost Susie after the loan has been paid in full?
Given the linear equation y = 2 x + 5 , evaluate y when x = 9 .
A business sets up a sinking fund so they will have a $61,000.00 to pay for a replacement piece of equipment in 9 years when the current equipment will be sold for scrap. If they make deposits at the end of every 2 months for 9 years in the investment that pays 5.9% compounded every 2 months, what size should each payment be?
The every 2 months payments are $
.
Using compound interest, each payment should be $948.86, rounded to two decimal places.
What is compound interest?The interest on savings that is computed on both the initial principal and the interest accrued over time is known as compound interest. Compound interest is computed by multiplying the starting principal amount by one and the annual interest rate raised to the number of compound periods minus one. The final step is to deduct the initial loan principal from the calculated value.
When the amount compounds quarterly, it means that the amount compounds 4 times in a year. i.e., n = 4. We use this fact to derive the quarterly compound interest formula. Thus, the quarterly compound interest formula is:
[tex]A = P (1 + r/4)^t[/tex]
To determine the size of each payment that needs to be made at the end of every 2 months, we can use the formula for the future value of an annuity:
[tex]FV = Pmt x [(1 + r)^{n - 1}] / r[/tex]
When we enter these values into the formula, we obtain:
In this instance, we know that the sinking fund's future value should be $61,000, the interest rate each 2-month period is 5.9%/6 = 0.983%, and there are a total of 54 periods (9 years x 12 months/year / 2 months/period = 54 periods) in the sinking fund's life.
[tex]$61,000 = Pmt x [(1 + 0.00983)^{54 - 1}] / 0.00983[/tex]
Solving for Pmt, we get:
[tex]Pmt = $61,000 x 0.00983 / [(1 + 0.00983)^{54 - 1}][/tex]
= $61,000 x 0.00983 / 0.6346
= $948.86
Therefore, each payment should be $948.86, rounded to two decimal places.
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River C is 400 miles longer than River D. If the sum of their lengths is 5,530 miles, what is the length of each river
Answer:
river c is 2965 miles long while river d is 2565 miles long
Step-by-step explanation:
c+d=5530
400+d+d=5530
400+2d=5530
2d=5530-400
2d=5130 /:2
d=2565
c=d+400
c=2565+400
c=2965
i need help on number 8 :(
The number of large pieces of fabric that Lola should buy to be able to make 7 scarves is 7 larger pieces of fabric.
How to find the pieces of fabric ?The number of small fabrics needed for one scarf is 8 pieces. The area of these pieces is:
= 8 pieces x ( 1 / 4 x 1 / 4 )
= 0. 5 foot ²
This means that 1 scarf needs 0. 5 foot ² of fabric.
The area of a single large piece of fabric is :
= 1 / 4 x 2
= 0. 5 foot ²
This means that 1 large piece can make 1 scarf. If 7 scarves need to be made therefore, then Lola needs 7 large pieces.
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Equation in slope intercept form for the line parallel to y= 4x-1 containing (-3,2).
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
[tex]y=\stackrel{\stackrel{m}{\downarrow }}{4}x-1\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
so we're really looking fo the equation of a line whose slope is 4 and it passes through (-3 , 2)
[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-3)}) \implies y -2= 4 (x +3) \\\\\\ y-2=4x+12\implies {\Large \begin{array}{llll} y=4x+14 \end{array}}[/tex]
Find the amplitude and period of the function fx=-2sin x .
We can state this by responding to the provided question As a result, the function's amplitude is 2 and its period is.
what is function?Mathematicians research numbers, their variants, equations, associated structures, forms, and possible configurations of these. The word "function" describes the connection between a group of inputs, each of which has a corresponding output. A function is a connection between inputs and outputs where each input results in a single, distinct outcome. Each function has a domain, codomain, or scope assigned to it. Functions are usually denoted by the letter f. (x). An x is entered. On functions, one-to-one capabilities, so multiple capabilities, in capabilities, and on functions are the four main categories of accessible functions.
The sine function of the form f(x) = -2sin(x) is an amplitude-scaled sine function.
The sine function's amplitude is represented by the coefficient, which in this example is -2. Hence, the function's amplitude is 2.
The equation T = 2/, where is the angular frequency, yields the period of the function. The angular frequency of a sine function is given by = 2/T.
With the function f(x) = -2sin(x) substituted, we get:
ω = 2π/T
Sin(x + ) = -2sin(x)
To solve for T, we obtain:
T = 2π/ω = 2π/(-2) = -π
We use T's absolute value as the period cannot be negative, making the function's period T =.
As a result, the function's amplitude is 2 and its period is.
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Please help!! Ill give the brainliest thing! :)
Answer: the second one
Step-by-step explanation:
0.2; for each additional day after the kitten is born, its weight is predicted to increase by 0.2 ounces.
helppp need aswer soon
A cylinder has a radius of 3 cm and a height of 6 cm. Use the formula V cylinder. Round your answer to the nearest whole number (cubic centimeter). = Tr² h and Show 3.14 all work for to estimate the volume of the for credit.
Answer:
170 cm³
Step-by-step explanation:
V = πr²h
= 3.14 * (3)² * 6
= 3.14 * 9 * 6
= 169.56 cm³
= 170 cm³
In art class students are mixing black and white paint to make gray paint. Sophia mixes 3 cups of black paint and 4 cups of white paint. Jeriel mixes 9 cups of black paint and 10 cups of white paint. Use Sophia and jeriels percent of white paint to determine whose gray paint will be lighter
Answer:
Sophia's paint is lighter.
Step-by-step explanation:
percent = part/whole × 100%
Sophia:
3 cups black, 4 cups white
total: 7 cups
white percent = 4/7 × 100% = 57%
Jeriel:
9 cups black, 10 cups white
total: 19 cups
white percent = 10/19 × 100% = 53%
Sophia's paint is lighter.
Which of the sets of side lengths below can be used to build a triangle?
1) 5 cm, 3 cm, and 10 cm (2) 4 cm, 12 cm, and 9 cm (3) 5 cm, 2 cm, and 4 cm (4) 3 cm, 5 cm, and 8 cm
Therefore, sets (2), (3), and (4) can be used to build a triangle, while set (1) cannot.
How are triangles determined by length of sides?Any two sides must add up to more than the third side's length in order to form a triangle. Let's use this principle to compare each pair of side lengths:
5 + 3 = 8 + 10 cm, 3 cm, and 5 cm.
3 + 10 = 13 > 5
5 + 10 = 15 > 3
As the total of the lengths of the two shorter sides is not larger than the length of the longest side, a triangle cannot be constructed with this set of side lengths.
3 measurements: 4 cm, 12 cm, and 9 cm 4 + 12 = 16 > 9 4 + 9 = 13 > 12\s12 + 9 = 21 > 4
Given that the total of any two sides is more than the length of the third side, a triangle can be constructed using this set of side lengths.
3, 2, and 5 centimetres
5 + 2 = 7 > 4
2 + 4 = 6 > 5
5 + 4 = 9 > 2
Given that the total of any two sides is more than the length of the third side, a triangle can be constructed using this set of side lengths.
3, 5, and 8 centimetres
3 + 5 = 8 > 8
3 + 8 = 11 > 5
5 + 8 = 13 > 3
Due to the fact that the sum of any two side lengths is bigger, a triangle can be constructed with this combination of side lengths.
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if x=4 what is the value of 9x 22
Answer:
58
Step-by-step explanation:
9x + 22 x = 4
9(4) + 22
36 + 22
58
a small rug is 1/2 gard wide and 7/6 yards long write and solve an equation to find the area of the rug?
Answer:
Below
Step-by-step explanation:
Area = w X l = 1/2 yd X 7/6 yd = (1*7) / (2*6) = 7/12 yd^2
Answer:
7/12 sq yd
Step-by-step explanation:
The area of a rectangle (which includes a rug) is given by the formula:
Area = Length x Width
We are given that the rug is 1/2 yard wide and 7/6 yards long. So, we can substitute these values into the formula:
Area = (7/6) x (1/2)
To multiply these fractions, we need to find a common denominator. The least common multiple of 6 and 2 is 6, so we can convert both fractions to have a denominator of 6:
Area = (7/6) x (1/2) = (7/6) x (3/3) x (1/2) = 21/36
We can simplify this fraction by dividing the numerator and denominator by their greatest common factor, which is 3:
Area = 21/36 = (21 ÷ 3) / (36 ÷ 3) = 7/12
Therefore, the area of the rug is 7/12 square yards.
What are the endpoints of the major axis and minor axis of the ellipse?
(x−2)212+(y+3)236=1
Drag coordinates into the boxes to correctly complete the table.
The correct answer is:
Major Axis Endpoints: (6, -3) and (-2, -3)
Minor Axis Endpoints: (2, 3) and (2, -9).
What is a major axis?The major axis of a graph is the line that divides it in two equal parts. It is also known as the x-axis or the y-axis and it is the axis that is perpendicular to both the x and y axes. The major axis is an important part of the graph because it is used to plot the points on the graph. The points on the graph are plotted in relation to the major axis, allowing for easier interpretation of the graph.
The endpoints of the major axis of an ellipse are the points on the ellipse which are farthest away from each other. These points are located on the longest diameter of the ellipse and are the points at which the ellipse changes directions. Similarly, the endpoints of the minor axis of an ellipse are the points on the ellipse which are closest to each other.
In the equation (x−2)212+(y+3)236=1, the equation describes an ellipse which has its center located at the point (2, -3). The major axis of this ellipse has endpoints located at the points (6, -3) and (-2, -3). The minor axis of this ellipse has endpoints located at the points (2, 3) and (2, -9). Therefore, the correct answer for the table is as follows:
Major Axis Endpoints: (6, -3) and (-2, -3)
Minor Axis Endpoints: (2, 3) and (2, -9)
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What is the product of 1.7 and 0.2?
A. 0.34
B. 1.9
C. 0.19
D. 3.4
Answer:
A. 0.34
Step-by-step explanation:
1.7
x 0.2
_____
.14
+ .20
______
.34
A right circular cylinder has the dimensions shown below.
r= 3 cm
h = 5 cm
Find the exact surface area of the cylinder.
Include correct units.
Show all your work.
A 14 sided die is rolled find the possibility of rolling an even number the set of equally like outcomes is shown below 1,2,3,4,5,6,7,8,9,10,11,12,13,14
Answer:
50 % possibility or 1/2 chance
Step-by-step explanation:
2, 4, 6, 8, 10, 12, and 14 are all even and there are seven of them
a motorist covered 90km in the first 1 1/2h and 50km in the next 1/2 find average speed for the second part of the journey
The average speed for the second part of the journey is 100 kilometer per hour.
What is Average Speed?Average Speed is the ratio of the total distance travelled to the total time taken to travel the distance.
Given that,
Distance travelled by motorist in first part = 90 km
Time taken to travel the distance = 1 1/2 hour = 1.5 hours
Distance travelled in second part of the journey = 50 km
Time taken to travel the distance = 1/2 hour = 0.5 hour
Average speed = Distance / Time
= 50 / (1/2)
= 100 km/h
Hence the average speed is 100 kilometer per hour.
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A politician takes an
of 757575 citizens in a county to see what proportion of citizens sampled are satisfied with their standard of living. Suppose that 80\%80%80, percent of the 118{,}000118,000118, comma, 000 citizens in the county are satisfied with their standard of living.
What are the mean and standard deviation of the sampling distribution of the proportion of citizens who are satisfied with their standard of living?
Choose 1 answer:
The mean of the sampling distribution is 606060 and the standard deviation is 871.78.
The central limit theorem is what?As long as the sample size is sufficient (usually, n 30), the central limit theorem implies that if we repeatedly take random samples from a population, the sampling distribution of the sample means will resemble a normal distribution, regardless of the form of the population distribution. This indicates that given the sample mean and standard deviation, we may utilise the normal distribution to draw conclusions about the population mean. Because it enables us to estimate population parameters even when we don't know the population distribution, the central limit theorem is significant.
Given that,
n = 757575
p = 80% = 0.8
q = 1 - 0.8 = 0.2
The mean of the binomial distribution is given as:
Mean: μ = np = (757575)(0.8) = 606060
The standard deviation of the binomial distribution is given as:
σ = √(npq) = √((757575)(0.8)(0.2)) = 871.78
Hence, the mean of the sampling distribution is 606060 and the standard deviation is 871.78.
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