Your car insurance comes due annually and generally costs about
$1,500. You decide that you would like to set aside a monthly amount,
beginning in January, to be prepared for when this bill comes at the
end of the year. How much should you set aside each month?
Answers
You should set aside $125 per month starting in January to be prepared for when this bill comes at the end of the year.
Definition of insurance?
In general, an insurance policy is referred to as a contract. An insurance policy is a contract that provides financial protection and compensation for any damages from the insurer of the insurance company to a person or an organisation. An insurance policy can be defined as a means of protection against any unforeseen loss or injury, to put it another way. One may clearly understand the definition of insurance from this line.
If you want to set aside a monthly amount to pay for your annual car insurance bill of $1,500, you can divide the total amount by 12 months.
Define annual pay?
The total amount of money you make from a job each year is your annual pay. Typically, this amount is determined per calendar year, which runs from January to December.
So,
$1,500 / 12 = $125 per month.
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Related Questions
You invested $4000 between two accounts paying 3% and 4% annual interest. If the total interest earned for the year was $130, how much was invested at each rate?
Answers
You invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.
Let's assume you invested an amount, x, at 3% annual interest rate. This means the amount invested at 4% annual interest rate would be $4000 - x.
To calculate the interest earned from the investment at 3%, we multiply x by 3% (0.03). Similarly, the interest earned from the investment at 4% is calculated by multiplying ($4000 - x) by 4% (0.04).
According to the given information, the total interest earned from both investments is $130. So we can set up the equation:
0.03x + 0.04($4000 - x) = $130
Simplifying the equation:
0.03x + 0.04($4000 - x) = $130
0.03x + $160 - 0.04x = $130
-0.01x = $130 - $160
-0.01x = -$30
x = -$30 / -0.01
x = $3000
Therefore, you invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.
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Write a ratio in two ways to describe the relationship of the number of forks to the number of spoons.
The ratio that describes the relationship of the number of forms to the number of spoons is …….. to …….. or ………. ………
Answers
Answer:
Here is a example they gave these numbers 6.9 and they say find 2 ways to describe it you will have this 6.9 or 6 to9
plz help me to solve stepwise
Answers
Answer:
14 cm by 34m
Step-by-step explanation:
A fair 10 sided dice numbered 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 is rolled once. What is the PERCENTAGE probability that it lands on a number that is prime? *
Answers
Answer:
40% probability that it lands on a number that is prime.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
10 sided dice
So 10 total outcomes.
Prime numbers:
Of those, 2, 3, 5 and 7 are prime, so 4 of the outcomes.
4*100/10 = 40%
40% probability that it lands on a number that is prime.
How do I solve this?
Answers
14.87
Step-by-step explanation:
use the Pythagorean theorem
a^2+b^2=c^2
C being the longest side of the triangle
14^2+5^2=C^2
196+25=C^2
221=C^
find the square root of 221
C=14.866
rounded to nearest tenth
C=14.87
Answer:
15
Step-by-step explanation:
5^2 +14^2=C^2
25+196=C^2
221=C^2
√221=√C^2
14.86=C
appr 15 =C
For each pair of functions f, g below, find f(g(x)) and g(f(x))
Then, determine whether and are inverses of each other.
Simplify your answers as much as possible.
(Assume that your expressions are defined for all in the domain of the composition.
You do not have to indicate the domain.)
Answers
Answer:
See below
Step-by-step explanation:
Part A
\(f(g(x))=f(\frac{x}{3})=3(\frac{x}{3})=x\\g(f(x))=g(3x)=\frac{3x}{3}=x\)
Since BOTH \(f(g(x))=x\) and \(g(f(x))=x\), then \(f\) and \(g\) are inverses of each other
Part B
\(f(g(x))=f(\frac{x+1}{2})=2(\frac{x+1}{2})+1=x+1+1=x+2\\g(f(x))=g(2x+1)=\frac{(2x+1)+1}{2}=\frac{2x+2}{2}=x+1\)
Since BOTH \(f(g(x))\neq x\) and \(g(f(x))\neq x\), then \(f\) and \(g\) are NOT inverses of each other
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.Polygon is shown in the coordinate grid. Match the dilations of to the images showing the result of the dilation.
Answers
Looking at the first figure, the coordinates of point D' are the same of point D, and all other points are closer to point D'.
Analyzing the horizontal and vertical distance of all points to point D', the distances decreased by half. That means we have a dilation with center at D by a scale factor of 0.5.
In the second figure, the coordinates of point C' are the same of point C, and all other points are farther from point C'.
Analyzing the horizontal and vertical distance of all points to point C', the distances increased by 50%. That means we have a dilation with center at C by a scale factor of 1.5.
In the third figure, we can see that all distances doubled. The only option with a scale factor of 2 is: center at (6, 3) by a scale factor of 2.
(That means all distances
2 m² = 200 cm²
is this statement correct?
Answers
Answer:
Yes
Step-by-step explanation:
1m=100cm
2m=200cm
Given the function f(x) = 0.5|x - 41-3, for what values of x is f(x) = 7?
x = -24, x = 16
x= -16, x = 24
x=-1, x = 9
x = 1, x = -9
Answers
The values of x for which f(x) = 7 are x = 61 and x = 21.
To find the values of x for which f(x) = 7, we can set up the equation and solve for x.
The given function is f(x) = 0.5|x - 41| - 3.
Setting f(x) equal to 7, we have:
0.5|x - 41| - 3 = 7.
First, let's isolate the absolute value term:
0.5|x - 41| = 7 + 3.
0.5|x - 41| = 10.
To remove the absolute value, we can consider two cases:
Case: (x - 41) is positive or zero:
0.5(x - 41) = 10.
Multiplying both sides by 2 to get rid of the fraction:
x - 41 = 20.
Adding 41 to both sides:
x = 61.
So x = 61 is a solution for this case.
Case: (x - 41) is negative:
0.5(-x + 41) = 10.
Multiplying both sides by 2:
-x + 41 = 20.
Subtracting 41 from both sides:
-x = -21.
Multiplying both sides by -1 to solve for x:
x = 21.
So x = 21 is a solution for this case.
Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.
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Una sala de cine de New York vende las entradas para niños a 3 dólares y las de los adultos a 5 dólares. Si para ver una película pueden ingresar tanto niños como adultos y en un día
ingresan 345 espectadores, recaudando por concepto de venta de boletas 1365 dólares. Se
puede afirmar que el número de niños y adultos que ingresaron fue:
Answers
A la sala de cine ingresaron 180 niños y 165 adultos.
¿Cuántos niños y adultos ingresaron a una sala de cine?
De acuerdo con el enunciado, la sala de cine tiene capacidad para 345 espectadores y cobra 3 dólares por cada niño y 5 dólares por cada adulto. Asimismo, esta sala tiene un recaudo diario de 1365 dólares. La situación puede ser sintetizada en la siguiente ecuación algebraica:
3 · x + 5 · (345 - x) = 1365
Donde x es el número de niños que asistieron a la sala de cine.
Ahora despejamos la variable correspondiente mediante propiedades algebraicas:
3 · x + 1725 - 5 · x = 1365
1725 - 2 · x = 1365
2 · x = 1725 - 1365
2 · x = 360
x = 180
Ahora, el número de adultos es:
y = 345 - 180
y = 165
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you have to try to find m
Answers
The measure of angle V is,
⇒ ∠ V = 53°
We have to given that,
A parallelogram VWXY are shown in image.
Since, We know that,
Opposite angles of a parallelogram is equal.
Hence, We get;
⇒ ∠W = ∠Y
Substitute all the values, we get;
⇒ (2x + 29) = (10x - 27)
Solve for x,
⇒ 2x + 29 = 10x - 27
⇒ 29 + 27 = 10x - 2x
⇒ 56 = 8x
⇒ x = 56 / 8
⇒ x = 7
So, Measure of Angle Y is,
⇒ ∠ Y = (10x - 27)
⇒ ∠ Y = 10 x 7 - 17
⇒ ∠ Y = 70 - 17
⇒ ∠ Y = 53°
We know that,
In a parallelogram, alternate angle are equal.
⇒ ∠Y = ∠ V
⇒ ∠ V = 53°
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2. Six months after John William becomes a shareholder, Peixotto Media announces
its first shareholder meeting. Because the co-presidents will be making some very
important announcements about decisions that will be voted upon by the
shareholders, John William attends. He finds that of the 20,000 shares that have
been offered so far, the shareholders who attend the meeting own 6,000 of them.
a. The co-presidents propose adding a new member to the company's board of
directors. The shareholders are allowed to vote on this matter. What percentage of
the total vote will John William control? (2 points)
b. The company's co-presidents announce that Peixotto Media will be issuing
another offering of stock, this time in the amount of 50,000 shares. Given his
preemptive rights as an existing shareholder, how many shares of this stock is John
William entitled to purchase before the offering is made to the public? (3 points)
Answers
John William is entitled to purchase 15,000 shares before the offering is made to the public.
a. To calculate the percentage of the total vote John William will control, we need to find the proportion of shares he owns out of the total shares represented at the meeting.
John William owns 6,000 shares out of the 20,000 shares offered so far. Therefore, the proportion of shares he owns is 6,000/20,000, which simplifies to 3/10 or 0.3.
To convert this proportion to a percentage, we multiply by 100:
Percentage of the total vote = 0.3 * 100 = 30%
Thus, John William will control 30% of the total vote at the. shareholder meeting.
b. Preemptive rights allow existing shareholders to purchase new shares before they are offered to the public. To determine the number of shares John William is entitled to purchase, we need to calculate the proportion of his current ownership.
John William owns 6,000 shares out of the total shares offered so far, which is 20,000. Therefore, his ownership proportion is 6,000/20,000, or 3/10.
If Peixotto Media plans to issue 50,000 new shares, John William's entitlement would be:
Entitlement = (3/10) * 50,000 = 15,000 shares.
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Which of the scenarios below would a t-test of the difference between means for dependent samples be appropriate?
a) Comparing the mean mathe 2G pfa sample of Grade 8 students in a peer instruction program and a sample of Grade 8 students receiving traditional instruction.
b) Comparing the mean perception of company morale of a sample of managers and a sample of subordinates of each manager.
c) Comparing the mean bullying awareness scores of a sample of Grade 6 boys and a sample of Grade 6 girls at a particular school.
d) Comparing the mean amount of time spent studying of a sample of adult learners and a sample of traditional students in an online course.
Answers
Answer:
4g
Step-by-step explanation:
scatter
Determine if the equations are parallel, perpendicular or neither y = -3x + 6 and y = 1/3 x -8
Answers
Answer:
Perpendicular
Step-by-step explanation:Because the slopes are negative reciprocals of each other.
The radius of a sector is 1 m
a. Find the area of a 1° sector of the circle.
b. What is the area of the circle containing the sector?
c. If 360 of the 1° sectors of the circle are placed side by side to approximate a parallelogram, what is the approximate area of the parallelogram?
d. What is the difference of the areas in parts (b) and (c) as a percentage of the entire circle?
Answers
A coin is tossed 4 times. Let E1 be the event "the first toss shows heads" and E2 the event "the second toss shows heads" and so on. That is, Ei is the event that the "i"th toss shows up heads.
A. Are the events e e and f f independent?
B. Find the probability of showing heads on both toss.
Answers
Answer:
The events are independent.
The probability of showing heads on both toss is equal to 1/2
Step-by-step explanation:
The sample space for this experiment consists of 2⁴= 16 sample points, as each toss can result in two outcomes we assume that the events are equally likely.
Two events are independent in the sample space if the probability of one event occurs, is not affected by whether the other event has or has not occurred.
In general the k events are defined to be mutually independent if and only if the probability of the intersection of any 2,3,--------, k equals the product of their respective probabilities.
P (A∩B) = P(A). P(B)
P (A∩B) = 1/2. 1/2= 1/4
Head Tail
P(E1)= 1/2 ---------- Coin 1 H,H T,H
1/4 1/4
P(E2)= 1/2 --------------- Coin 2 H, H H,T
1/4 1/4
So the events are independent.
The probability of showing heads on both toss is equal to 1/2
The sample space for this experiment consists of 2⁴= 16 sample points, out of which eight will have heads on both toss.
Or in other words ( 1/4* 1/4) = 2/4 = 1/2
solve question 5 please
Answers
The value of all the expression which have x = 5 asymptotes are,
⇒ g (x) = 3 log (x - 5)
⇒ g (x) = log₁₀ (- x + 5) - 4
⇒ f (x) = (3x + 20) / (x - 5)
We have to given that,
All the expressions are,
⇒ g (x) = 3 log (x - 5)
⇒ f (x) = √(x - 5) + 2
⇒ h (x)= eˣ⁻⁵
⇒ g (x) = log₁₀ (- x + 5) - 4
⇒ h (x) = - ∛(x - 5) + 1
⇒ f (x) = (3x + 20) / (x - 5)
Now, We can check all the expressions for which have x = 5 asymptotes.
Hence, We can substitute x = 5 in each expression and check all expression as which are not defined at x = 5,
⇒ g (x) = 3 log (x - 5)
Substitute x = 5;
⇒ g (x) = 3 log (5 - 5)
⇒ g (x) = 3 log (0)
Which is undefined.
⇒ f (x) = √(x - 5) + 2
Substitute x = 5;
⇒ f (x) = √(5 - 5) + 2
⇒ f (x) = 2
Which is defined.
⇒ h (x)= eˣ⁻⁵
Substitute x = 5;
⇒ h (x)= e⁻⁵
Which is defined.
⇒ g (x) = log₁₀ (- x + 5) - 4
Substitute x = 5;
⇒ g (x) = log₁₀ (- 5 + 5) - 4
⇒ g (x) = log₁₀ (0) - 4
Which is undefined.
⇒ h (x) = - ∛(x - 5) + 1
Substitute x = 5;
⇒ h (x) = - ∛(5 - 5) + 1
⇒ h (x) = 1
Which is defined.
⇒ f (x) = (3x + 20) / (x - 5)
Substitute x = 5;
⇒ f (x) = (3x + 20) / (5 - 5)
⇒ f (x) = (15 + 20) / (0)
Which is undefined.
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What is the quotient of 3.496x10^9 x 3.8 x 10^5 In scientific nation ? Please help
Answers
3496000000
380000
2Step-by-step explanation:
Let S be the universal set, where:
S= {1, 2, 3,..., 18, 19, 20}
Let sets A and B be subsets of S, where:
Answers
Answer:
Step-by-step explanation:
Therefore, the height of the tower is approximately 121.4 meters.
F(x)=1/2x+4 and g(x)=−8f(x). What equation shows the correct rule for the function g? A. g(x)=−8x−32. B. g(x)=−4x+4. C. g(x)=−4x−32
Answers
Answer:
f(x)=1/2x+4.
Step-by-step explanation:
Sam had 2/3 of a pie and gave Joe 1/2 of what he had. What fraction of the whole pie does Joe have?
Answers
Answer:
1/6
Step-by-step explanation:
He has 2/3 of a pie, and half of that is gonna be 1/3. If he gives away 1/3, 2/3-1/3=1/6 left because its not a fraction of his original piece that the question is asking for, but the whole pie
Question is in photo
Answers
Answer:
Initial temp is 20 degrees C
Function shows decay
Temp changes by 97% every minute
Step-by-step explanation:
The temperature as a function of time is:
C(t)=20(0.97)\(t^{2}\)
when t = 0, C(0) = 20(0.97)0, or -20(1) = 20C
The temperature changes by 0.97, or 97% every minute.
Help if anyone can mathematics 10th grade
Answers
Answer:
The answer is sin inverse 3/4
Step-by-step explanation:
sinx⁰=BC/AB
sinx⁰=30/40
sinx⁰=3/4
x⁰ = sin^-1(3/4)
It is common knowledge that a fair penny will land heads up 50% of the time and tails up 50% of the time. It is very unlikely for a penny to land on its edge when flipped, so a probability of 0 is assigned to this outcome. A curious student suspects that 5 pennies glued together will land on their edge 50% of the time. To investigate this claim, the student securely glues together 5 pennies and flips the penny stack 100 times. Of the 100 flips, the penny stack lands on its edge 46 times. The student would like to know if the data provide convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5. The student tests the hypotheses H0: p = 0.50 versus Ha: p ≠ 0.50, where p = the true proportion of all flips for which the penny stack will land on its edge. The conditions for inference are met. The standardized test statistic is z = –0.80 and the P-value is 0.2119. What conclusion should the student make using the α = 0.10 significance level?
A) Because the test statistic is less than α = 0.10, there is convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5.
B) Because the P-value is greater than α = 0.10, there is convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5.
C) Because the P-value is greater than α = 0.10, there is not convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5.
D) Because the test statistic is less than α = 0.10, there is not convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5.
Answers
The correct answer is:
C) Because the P-value is greater than α = 0.10, there is not convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5.
The student set up a hypothesis test to investigate whether there is evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5. The null hypothesis is that the proportion is 0.5, and the alternative hypothesis is that it differs from 0.5.
The student obtained a standardized test statistic of z = -0.80 and a P-value of 0.2119.
To make a conclusion, the student needs to compare the P-value to the significance level α.
The significance level is given as 0.10, which means that the student is willing to accept a 10% chance of making a Type I error (rejecting the null hypothesis when it is actually true).
Since the P-value of 0.2119 is greater than α = 0.10, there is not convincing evidence to reject the null hypothesis. Therefore, the student cannot conclude that the true proportion of flips for which the penny stack will land on its edge differs from 0.5.
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according to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570what was the number of number of female population
Answers
According to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570 the number of female population is 43,11,50,122.
To find the wide variety of girl population, we will subtract the quantity of male population from the full population.
Total population = 88,51,84,692
Number of male = 45,40,34,570
Number of female = Total population - Number of male
= 88,51,84,692 - 45,40,34,570
= 43,11,50,122
Therefore, the number of female population is 43,11,50,122.
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Solve me this please
X=33500+0,2Y
Y=26500+0,1X
Answers
Answer: X= 108125 and Y = 373125.
Step-by-step explanation:
Given system :
\(X= 33500+0.2Y (i)\\\\ Y=26500+0.1X (ii)\)
Consider (ii)
\(Y=26500+0.1X\\\\\Rightarrow\ Y-0.1X=26500\)
Multiply 10 on both sides , we get
\(10Y-X=265000 (iii)\)
Add (i) and (iii)
\(10Y= 33500+26500+0.2Y\\\\\Rightarrow\ 10Y-0.2Y= 298500\\\\\Rightarrow\ 0.8Y= 298500\\\\\Rightarrrow\ Y=\dfrac{298500}{0.8}\\\\\Rightarrrow\ Y=373125\)
Put this in (i)
\(X= 33500+0.2(373125) =108125\)
Hence, X= 108125 and Y = 373125.
evaluate the expression when c=5 y= -4 -c+2y
Answers
Solution
Given
When c=5 and y= -4
Then -c+2y
-5+2(-4)
Recall
\(+\text{ }\times-=-\)-5 -8= -13
I need help as soon as possible please??
Answers
Answer:
4x² - 11xy - 3y²
Step-by-step explanation:
(4x + y)(x - 3y) =
Multiply each term of the first binomial by each term of the second binomial.
= 4x² - 12xy + xy - 3y²
Now combine like terms.
= 4x² - 11xy - 3y²
I need help please. Trying to get my HS diploma. I did not graduate :(
Find the holes of the function
Answers
Answer:
(a) none
Step-by-step explanation:
A "hole" in the graph of f(x) is located at an x-value where the left limit of the function and the right limit are the same finite value, but the function is undefined at that value of x.
ExampleThe function f(x) = (x -2)/(x -2) can be reduced to the function f(x) = 1, which is defined everywhere. That reduction occurs when the numerator factor (x-2) cancels the same binomial denominator factor. A graph of the original function will be a straight horizontal line with a "hole" at (2, 1).
The attachment shows a graph.
Given FunctionThe given function can be reduced, but the reduced function remains undefined at x=1/2. Not all of the denominator factors are cancelled there. The function is graphed in the second attachment. At x=1/2, there is a vertical asymptote, not a hole.
\(g(x)=\dfrac{(2x-1)(x+4)^2(x-1)(3x+2)}{3x(x-4)(2x-1)^3}\qquad x\notin \left\{0,\dfrac{1}{2},4\right\}\\\\g(x)=\dfrac{(x+4)^2(x-1)(3x+2)}{3x(x-4)(2x-1)^2}\qquad x\notin \left\{0,\dfrac{1}{2},4\right\}\)
There are no holes in the function's graph.
__
Additional comment
A hole can occur for a variety of reasons. In the graph of a rational function, it will generally be found where numerator and denominator zeros cancel each other completely, and the function can be "reduced" to one that is define at the location of those zeros.
It can also occur in piecewise defined functions, where the pieces are defined on adjoining (half) open intervals. For example:
\(f(x)=\begin{cases}-x&\text{for }x < 0\\x&\text{for }x > 0\end{cases}\)
has a hole at (0, 0).
An individual is baking 3 batches of cookies. They used 1.8 oz. of vanilla in one batch of the cookies, 1.25 oz. of vanilla in the second batch and .95 oz. in the third batch. Convert these decimals into fractions, and then put them in ascending order.
Answers
Answer:
19/20 , 1 1/4 , 1 4/5
Step-by-step explanation:
1.8 = 1 4/5 (fraction)
1.8 converts to 18/10. This can be simplified twice, firstly by making it 9/5 since both 18 and 10 are divisible by two, but can be simplified further to 1 4/5
1.25 = 1 1/4 (fraction)
1.25 converts to 125/100. This can be simplified to 5/4 or 1 1/4
0.95 = 19/20 (fraction)
0.95 converts to 95/100. This can be simplified to 19/20
Ascending Order (smallest to largest)
smallest - 19/20
middle - 1 1/4
largest - 1 4/5
I believe this is the right answer, but haven't done fractions in a while so may want to double check to make sure