The registration fee for a used car is 0.8% of the sale price of $5,700. How much is the fee?
The registration fee for a used car is 0.8% of the sale price of $5,700 as a result the registration fee is $ 45.60.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.
It is given that the registration fee for a used car is 0.8% of the sale price of $5,700,
The value of the registration fee is found as,
Registration fee = 0.8% of $5,700
Registration fee = (0.8/100) × $5,700
Registration fee = $ 45.6
Thus, the registration fee for a used car is 0.8% of the sale price of $5,700 as a result the registration fee is $ 45.60.
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4th grade homework.
Write an equation that represents this comparison sentence..
32 is 8 times as many as 4
how do I answer this?
Gary is buying a $1,250 computer on the installment plan you makes a down payment on of $150 she has to make monthly payments of $48.25 for two and a half years what is the finance change
Answer:
$347.6
Step-by-step explanation:
The computer cost $1250. If Gary made a down paymnet of $150, $1100 is left to be paid. The financial cost per month is $48.25. For two and a half years this amount must be multiplied by the number of months. In two and a half years there is:
[tex]=12+12g+6=30[/tex]
30 months. Gary pays
[tex]=30\cdot{48.25}=1447.5[/tex]
$1447.5 for 30 months. The original amount was $1250. Cary pays a total of:
[tex]=150+1447.6=1597.6[/tex]
The financial change is:
[tex]1597.6-1250=347.6[/tex]
What is the answer to 6= a/4 + 2
G verify that the divergence theorem is true for the vector field f on the region
e. f(x, y, z) = z, y, x , e is the solid ball x2 + y2 + z2 ≤ 36
completely factor the expression 16t^3 - 50t^2 + 36t
NEED HELP FAST!!!!
Solve the equation.
3x/5 - 0.5 = 1.9
A. 2.3
B. 0.16
C. 4
D. 16
Please explain your answer.
The function h(t) = 210 – 15t models the altitude of a hot air balloon over time t, in minutes. Explain what h(10) means in the context of the real-world scenario, and how to find its value.
1)The range of the following relation: R {(3, -5), (1, 2), (-1, -4), (-1, 2)} is
{-1, 1, 3}
{-5, -4, 2}
{-1, -1, 1, 3}
{-4, -5, 2, 2}
2) The domain of the following relation: R {(3, -2), (1, 2), (-1, -4), (-1, 2)} is
{-1, 1, 3}
{-1, -1, 1, 3}
{-4, -2, 2, 2}
{-4, -2, 2}
The range of the first relation is {-5, -4, 2}, and the domain of the second relation is {-1, 1, 3}.
The range of a relation is the set of all second elements in each ordered pair. For the relation R = {(3, -5), (1, 2), (-1, -4), (-1, 2)}, the range is the set of second elements {-5, 2, -4, 2}. When we list the unique values, we get the range as {-5,-4, 2}.
The domain of a relation consists of all the first elements in each ordered pair. Given the relation R = {(3, -2), (1, 2), (-1, -4), (-1, 2)}, the domain is the set of first elements {3, 1, -1, -1}. The domain with unique values is {-1, 1, 3}.
A researcher sends out a survey to 740 subjects by mail and receives completed surveys from 65% of the subjects. How many surveys did the researcher receive?
When "P" Dollars is invested at interest rate "i", compounded annually, for "t" tears, the investment grows to "A" dollars, where A=P(1+i)^t. When Sara enters 11th grade, her grandparents deposit $10,000 in a college savings account. Find the interest rate "i", if the $10,000 grows to $11,193.64 in two years.
Final answer:
The annual interest rate compounded annually that grows $10,000 to $11,193.64 in two years is approximately 5.882%.
Explanation:
To find the interest rate i if the $10,000 grows to $11,193.64 in two years, we can rearrange the compound interest formula to solve for i:
[tex]A = P(1 + i)^t[/tex]
Given:
A = $11,193.64
P = $10,000
t = 2
Rearranging the formula to solve for i, we get:
[tex](A / P) = (1 + i)^t[/tex] → (11,193.64 / 10,000) = (1 + i)²
Now we must solve for i:
1.119364 = (1 + i)² → i = [tex]\sqrt{(1.119364)}[/tex] - 1
Calculating the square root of 1.119364 and subtracting 1 gives us:
i ≈ 0.05882 or 5.882%
Therefore, the annual interest rate compounded is approximately 5.882%.
what is 5-2y=3x in standard form?
To write 5 - 2y = 3x in standard form, you rearrange it to Ax + By = C, resulting in the equation 3x - 2y = -5, which is in standard form as requested.
To write the equation 5 - 2y = 3x in standard form, you want to arrange it to Ax + By = C, where A, B, and C are integers, and A should not be negative. Here's how you can do it:
First, we will move the term involving x to the left side of the equation by subtracting 3x from both sides:3x - (5 - 2y) = 3x - 3xThis simplifies to:-3x + 2y = 5Finally, to keep A positive, if necessary, multiply the entire equation by -1:3x - 2y = -5Thus, the standard form of the equation is 3x - 2y = -5.
Your high school freshman class consists of 760 students. In recent years only 4 out 7 students actually graduated in four years. Approximately how many of your classmates are expected to graduate in four years
To find out how many of the 760 students in the freshman class are expected to graduate in four years, we use the rate of 4 out of 7 students graduating. This calculation yields approximately 434 students expected to graduate.
To calculate the approximate number of students expected to graduate in four years from a freshman class of 760 students, given a historical graduation rate of 4 out of 7, we use a simple proportion calculation. We set up a proportion where 4 out of 7 students graduate, which can be written as 4/7 = x/760, where x represents the number of graduating students.
Calculating this, we get x = (4/7) times 760. To solve for x, multiply both sides of the equation by 760 to isolate x.
x = 760 imes (4/7) = 760 imes 0.57142857
Approximately x = 434
Therefore, we can expect that approximately 434 students in the freshman class will graduate in four years, based on the provided rate.
A 3-foot piece of wire costs $0.76. What is the unit price, rounded to the nearest cent?
divide total cost by length:
0.76 / 3ft = 0.2533 cents per foot
rounded to nearest cent = 0.25 cents per foot
G find the probability that (a) more than 5, (b) between 1 and 3, (c) less than or equal to 2, bulbs will be defective
What is green and famous for running away from jail?
Escape peas. It is a joke (cause someone to laugh/cause amusement), an example of a joke in English. Jokes are popular because children learn them. Jokes can be an element of mood change for adults. The peas mean the "green" and the escape is related to the "famous for running away from jail" part.
Describe t-test and explain how to interpret its results ?
The t-test is a statistical test used to compare the means of two samples. The t-score, which represents the standardised difference between group means, and the p-value, which gives the probability of observing the data given the null hypothesis, are key components of the t-test result interpretation. A small p-value (typically less than 0.05) typically leads to rejection of the null hypothesis.
Explanation:The t-test is a statistical measure used in hypothesis testing to analyze the difference between two sample means. Key to proper interpretation of its results is understanding the test statistic, otherwise known as the t-score, and the p-value.
The t-score is calculated by subtracting one measure from the other and dividing by the standard error to standardize the difference. A large absolute value of the t-score indicates a larger difference between the groups being compared. The t-distribution, which the t-score follows, depends on the sample size (n) and has n - 1 degrees of freedom.
The p-value, usually calculated using technology, is the probability that you would observe the given t-score (or one more extreme) if the null hypothesis was true. It corresponds to the combined area in both tails of the t-distribution. If the p-value is small (typically less than 0.05), this suggests the differences you observed are statistically significant, and you would reject the null hypothesis.
When comparing the results, note that 95 percent of all confidence intervals constructed in this way contain the true value of the population mean statistic.
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what is the value of x in the equation -6/7= -×/84?
Answer:
x=7.
Step-by-step explanation:
To solve this you just hace to clear x from the equation and multipliead the other part of the equation by -84:
[tex]\frac{-6}{7} =\frac{-x}{84} \\x=\frac{6*-84}{7} \\x=\frac{504}{7}\\ x= 72[/tex]
So we know that the value of x in the equation will be 72,
Charlie, who is 6 feet tall, walks away from a streetlight that is 16 feet high at a rate of 6 feet per second, as shown in the figure. Express the length s of Charlie's shadow as a function of time.
The detailed answer provides a step-by-step explanation of how to express the length of Charlie's shadow as a function of time based on his movement away from a streetlight.
Explanation:Length of Shadow as a Function of Time:
Define the variables:Express s as a function of time: s(t) = (h * d) / (d + rt), where r is Charlie's rate of movement away from the streetlight.
Calculate the specific function: In this case, s(t) = (16 * 6) / (d + 6t), where s is the length of the shadow at time t.
Which ordered pair is in the solution set of the following system of inequalities? y>0.5x+4 y≥‒3x+10 A. (2, 6) B. (1, 5) C. (3, 2) D. (4, 5)
how many 1/3 pounds serving in 4 2/3 pound of cheese
There are 8 people fishing at Lake Connor: 5 have fishing licenses, and 3 do not. An inspector chooses two of the people at random. What is the probability that the first person chosen has a license and the second one does not? Write your answer as a fraction in simplest form.
Answer:3/28
Step-by-step explanation:
The probability that the first person chosen has a license and the second one does not is 15/56
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur.
Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.
Given that, there are 8 people fishing at lake 5 have fishing licenses, and 3 do not. An inspector chooses two of the people at random. we need to find the probability that the first person chosen has a license and the second one does not
Let us consider the possibility of the first person not having a license, which is:
3/7
Now, after a person has been chosen, there will be 7 people remaining. Assuming that the first person chosen did not have a license, there will be 2 people left in the group without a license.
So, the probability of choosing a person without a license the second time will be:
3/7
In probability, when two events occur together (the word "and" is used), multiplication is carried out.
Therefore, we multiply the two probabilities to get:
5/8 x 3/7 = 15/56
Hence, The probability of choosing two people without a license is 15/56
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2767545 to the nearest ten
the graph of g(x) is the graph of f(x)=8x+20 stretched horizontally by a factor of 4.
Which equation describes the function g?
1. g(x)= 8x+5
2. g(x)= 2x+5
3. g(x)= 32x+20
4. g(x)= 2x+20
An ounce is 1/16 of a pound. How many ounces are in 8 3/4 pounds?
There are 140 ounces are in 8 3/4 pounds.
Given that,
1 ounce = 1/16 pound
We can also write it as
1/16 pound = 1 ounce
Multiply 16 both sides we get,
1 pound = 16 ounces ......(i)
Therefore,
There are 16 ounces in 1 pound.
Now we can write [tex]8\frac{3}{4}[/tex] in simple fraction as,
= (8x4+3)/4
= 35/4
Now we can say that [tex]8\frac{3}{4}[/tex] pounds as 35/4 pound as both are same quantity
Now, multiply 35/4 both sides in equation (i) we get,
35/4 pound = (35/4)x16 ounces
= 140 ounces.
Hence,
[tex]8\frac{3}{4}[/tex] pounds = 140 ounces.
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Ruth sets out to visit her friend ward, who lives 20 mi north and 100 mi east of her. she starts by driving east, but after 70 mi she comes to a detour that takes her 15 mi south before going east again. she then drives east for 8 mi and runs out of gas, so ward flies there in his small plane to get her.
Solution:
Distance between Ruth House and Ruth Friend House =20 Meter north and 100 meter east of Ruth
Now , Ruth Starts Driving,
but after 70 mi she comes to a detour that takes her 15 mi south before going east again. she then drives east for 8 mi and runs out of gas.
The Diagram of Ruth Driving is depicted below.
Now , when ward flies in small plane to get Ruth,
So, Distance between Ruth and Ward , when Ruth is at Point S=SM
In Right Δ SVM, By Using Pythagoras theorem
SM²=SV² + VM²
DT=VS=15 m
VM=100 - (70+8)
= 100 -78
=22 meter
SM²=(15)² + (22)²
= 225 + 484
= 709
[tex]SM=\sqrt{709}=26.62[/tex]
So, Ward has to travel 26.62 miles east north to reach Ruth.
Explain how you round the weights of fruits?
Carlos wants to add two more bags of apples to his order. What is the new total?
Answer:
Hi! The answer to this question is 9.10
Step-by-step explanation:
All of the Items added up equals 9.10
Answer:I thought it was 4.34 but its 9.10
Step-by-step explanation:
li started a pool cleaning business. She purchased cleaning supplies and charged the same amount for each pool cleaned. The expression −243+24x−243+24x represents the profit Tali has earned from cleaning pools. Which expression represents the total amount Tali earns from pool cleaning?
answer is one of these (x , 24, -243 , 24x )