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
Answer:
125
Step-by-step explanation:
the are 12 month in a year. so that the cost $1500 divided to 12 to get the amount for each month to set aside.
Related Questions
Given the circle below find the area. Use 3.14 for pi.
Answers
Answer:
50.24 cm²
Step-by-step explanation:
Area = r-squared times pi
3.14x4x4=50.24
Two wires are attached to a pole and create similar triangles with the ground. The longer wire is attached to the ground 32 feet from
the base of the pole and the shorter wire is attached to the ground 16 feet from the base of the pole.
If the cosine of the angle formed by the shorter wire and the ground is 8/41, what is the length of the longer wire?
Please help im so confused!
Answers
The length of the longer wire is 82 feet.
Let's denote the length of the longer wire as L. According to the given information, the shorter wire is attached to the ground 16 feet from the base of the pole, and the longer wire is attached to the ground 32 feet from the base of the pole.
We can form two similar right triangles using the wires. The height of each triangle is the height of the pole, and the base of each triangle is the distance from the base of the pole to where the wire is attached to the ground.
In the first triangle, the shorter wire creates an angle with the ground. Let's denote this angle as θ. Since we are given the cosine of this angle, we can use the cosine function to find the height of the pole in terms of θ and the base of the triangle:
cos(θ) = adjacent/hypotenuse = 16/L
Given that cos(θ) = 8/41, we can substitute this value into the equation:
8/41 = 16/L
To solve for L, we can cross-multiply and solve for L:
8L = 41 * 16
L = (41 * 16)/8
L = 82
Therefore, the length of the longer wire is 82 feet.
In summary, the length of the longer wire is 82 feet, as determined by using the cosine of the angle formed by the shorter wire and the ground, and considering the similarity of the triangles formed by the wires and the pole.
For more such questions on length visit:
https://brainly.com/question/28322552
#SPJ8
Write the rule for the nth term (3,9,15,21,27)
Answers
Answer:
Step-by-step explanation:
nth term = 3*(2n - 1 )
n =1 ; first term = 3*( 2*1 - 1) = 3* (2-1) = 3*1 = 3
n = 2 ; second term = 3*( 2*2 - 1) = 3* (4-1) = 3*3 = 9
n = 3 ; third term = 3*( 2*3 - 1) = 3* (6-1) = 3*5 = 15
find the total amount in Mr.hunter account, if he invests $900 for 2 years at 6% interest rate
Answers
Answer:
To find the total amount in Mr. Hunter's account, we need to use the formula:
A = P(1 + r/n)^(nt)
where:
A = the total amount
P = the principal amount (the initial investment)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the number of years
In this case, P = $900, r = 0.06, n = 1 (compounded annually), and t = 2.
So, plugging in these values, we get:
A = 900(1 + 0.06/1)^(1*2)
A = 900(1.06)^2
A = 900(1.1236)
A = $1,011.24
Therefore, the total amount in Mr. Hunter's account after 2 years is $1,011.24.
What is the sec 132 degrees 15 minutes in degrees
Answers
The sec 132 degrees 15 minutes in degrees is approximately -1.638 degrees.
What is the sec function?The secant function, denoted as sec(x), is a trigonometric function that is defined as the reciprocal of the cosine function, cos(x).
In other words,
sec(x) = 1 / cos(x)
The secant function is defined for all values of x except for those where the cosine function is equal to zero, which corresponds to the values x = (2n+1)π/2 where n is an integer. At these points, the secant function is undefined.
According to the given informationTo convert sec(132 degrees 15 minutes) to degrees, we first need to convert the angle to decimal degrees.
We know that 1 degree is equal to 60 minutes, so 15 minutes is equal to 15/60 = 0.25 degrees.
Therefore, the angle 132 degrees 15 minutes is equal to 132 + 0.25 = 132.25 degrees.
Now we can find the secant of this angle:
sec(132.25 degrees) = 1/cos(132.25 degrees) ≈ -1.638
So the answer is approximately -1.638 degrees.
To know more about the secant function visit:
brainly.com/question/16230804
#SPJ1
4*(5-2+3)+3*(9-4+2)+4*(1+2+4)
Answers
Answer:
73
Step-by-step explanation:
You would use PEMDAS...
Parentheses first:4*6+3*7+4*7 No ExponentsMultiply:24+21+28No Division Add:73No SubtractionHOPE THIS HELPS!!!
Which sentence best contrasts Greg’s father and Lemon Brown, in "The Treasure of Lemon Brown”? Lemon Brown has shown a deep concern for his son, while Greg’s father shows only a nagging concern for Greg. Lemon Brown has lived a more exciting life of a musician, while Greg’s father lives a more stable existence as a postal worker. Lemon Brown lives a tragic life, while Greg’s father does not take the risks that can lead to tragedy. Lemon Brown shows regret for his son’s loss, while Greg’s father does not show remorse for his mistreatment of Greg.
Answers
Answer:
the correct answer will be B i took the test and got a 100%
Step-by-step explanation:
B. Lemon Brown has lived a more exciting life of a musician, while Greg’s father lives a more stable existence as a postal worker.
Zelda makes herbal teas to sell. Her most popular blend is a combination of 2 kinds of mint, 50% spearmint and 50% peppermint, by weight. She buys the mint from a wholesale company.
Answers
Answer:
B. $4.23Step-by-step explanation:
Refer to attachment for full question
Cost of the tea:
80% of spearmint + 20% of peppermint =0.8*$2.25 + 0.2*$2.75 = $2.35Sale price is 1.8 times the cost:
$2.35*1.8 = $4.23Correct option is B
Help me please. You can get 20 points
Answers
a. The marginal profit function Py is Py = -30x + 47y - 915 and
b. Change in profit if price increase by 1 cent is 831 cents.
Understanding Profit FunctionTo find the marginal profit functions Px and Py, we need to find the partial derivatives of the profit function P(x, y) with respect to x and y, respectively.
Given:
P(x, y) = (x - 40)(55 - 4x + 5y) + (y - 45)(70 + 5x - 7y)
a. Marginal profit function Px:
To find Px, we differentiate P(x, y) with respect to x while treating y as a constant:
Px = ∂P/∂x = (∂/∂x) [(x - 40)(55 - 4x + 5y) + (y - 45)(70 + 5x - 7y)]
Expanding the terms and simplifying:
Px = (55 - 4x + 5y) + (x - 40)(-4) + (70 + 5x - 7y)(5)
Simplifying further:
Px = 55 - 4x + 5y - 4x + 40 + 350 + 5x - 7y
Combining like terms:
Px = 355 - 3x - 2y
b. Marginal profit function Py:
Similarly, to find Py, we differentiate P(x, y) with respect to y while treating x as a constant:
Py = ∂P/∂y = (∂/∂y) [(x - 40)(55 - 4x + 5y) + (y - 45)(70 + 5x - 7y)]
Expanding the terms and simplifying:
Py = (x - 40)(5) + (70 + 5x - 7y)(-7) + (y - 45)(5)
Simplifying further:
Py = 5x - 200 - 7y - 490 - 35x + 49y + 5y - 225
Combining like terms:
Py = -30x + 47y - 915
This is the profit function Py.
b. Estimating the daily change in profit:
To estimate the daily change in profit, we need to evaluate Px and Py at the given prices and calculate the change in profit when the prices are increased as specified.
Given initial prices:
First brand price (x) = 70 cents
Second brand price (y) = 73 cents
To estimate the change in profit, we substitute the initial prices into Px and Py and calculate the results:
Px(70, 73) = 355 - 3(70) - 2(73)
= 355 - 210 - 146
= -1
Py(70, 73) = -30(70) + 47(73) - 915
= -2100 + 3431 - 915
= 416
The daily change in profit can be estimated by multiplying the changes in price (1 cent for the first brand and 2 cents for the second brand) with the respective marginal profit functions:
Change in profit = ΔP ≈ Px(70, 73) * 1 + Py(70, 73) * 2
≈ -1 * 1 + 416 * 2
≈ -1 + 832
≈ 831 cents
Therefore, the estimated daily change in profit when the salesperson increases the price of the first label by 1 cent and the price of the second label by 2 cents is 831 cents.
Learn more about profit function here:
https://brainly.com/question/16866047
#SPJ1
If anybody can do these quickly, please answer bothhhhh
Answers
The first answer is messed up at the 3+9 part because they were supposed to multiply 9 and 2 first.
The second answer is messed up at the beginning because they didnt to the parenthesis first.
Follow PEMDAS
Answer:
Weren’t supposed to add until the end
It was supposed to be 81 not 27
Step-by-step explanation:
Determine which conic section is represented based on the given equation: 4x^2+9xy+4y^2-36y-125=0
Answers
The conic section of the equation 4x² + 9x +4y² - 36y - 125 = 0 is a circle
Selecting the conic section of the equationThe given equation is
4x² + 9xy + 4y² - 36y - 125 =0
The above equation is an illustration of a circle equation
The standard form of a circle equation is
(x - a)² + (y - b)² = r²
Where
(a, b) is the center
r is the radius
While the general form of the equation is
ax² + fx + by² + gy + c =0
Where c is a constant
Recall that, we have
4x² + 9x + 4y² - 36y - 125 =0
This is the general form
We can convert to the standard form as follows
Divide through by 4
x² + 2.25x + y² - 9y - 31.25 =0
Next, we complete the square of the x-terms and the y-terms
For the x-terms, we have
x² + 2.25x = x² + 2.25x + (2.25/2)² - (2.25/2)²
x² + 2.25x = (x + 2.25/2)² - (2.25/2)²
For the y-terms, we have
y² - 9y = y² - 9y + (9/2)² - (9/2)²
y² - 9y = (y - 9/2)² - (9/2)²
Substitute the new x and y terms
So, x² + 2.25x + y² - 9y - 31.25 = 0 becomes
(x + 2.25/2)² - (2.25/2)² + (y - 9/2)² - (9/2)²- 31.25 =0
Evaluate the sum of like terms
(x + 2.25/2)² + (y - 9/2)² - 3377/64 = 0
So, we have
(x + 9/8)² + (y - 9/2)² = 3377/64
Using the above as a guide, we can conclude that the conic section of the equation is a circle
Read more about conic section at
brainly.com/question/9702250
#SPJ1
D.
A
B.
A sidewalk in the shape of two triangles, a rectangle, and a square
was built around the edge of a building as shown.
108 ft²
T
6 ft
162 ft²
144 ft²
180 ft²
11
6 ft
What is the area of the sidewalk in square feet?
11
18 ft
30 ft
Answers
The area of the sidewalk is 388 square feet.
How to find the area of the sidewalkTo find the area of the sidewalk you can find the area of each individual shape and add them together.
Area of the first triangle T = (1/2) x 6 ft x 11 ft = 33 sq. ft.
Area of the second triangle = (1/2) x 6 ft x 18 ft = 54 sq. ft.
Area of the rectangle = 6 ft x 30 ft = 180 sq. ft.
Area of the square = 11 ft x 11 ft = 121 sq. ft.
Therefore, the total area of the sidewalk is:
33 sq. ft. + 54 sq. ft. + 180 sq. ft. + 121 sq. ft. = 388 sq. ft.
So, the area of the sidewalk is 388 square feet.
Learn more about area here : brainly.com/question/2607596
#SPJ1
Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
Answers
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
Learn more about the triangle here:
brainly.com/question/25813512
#SPJ1
Answer this with explanation please
Answers
The measure of angle MTU m∠MTU is 114 degree.
What is the measure of angle MTU?From the figure in the diagram:
Measure of angle STU is 145 degrees and measure of angle STM is 31 degree.
m∠STU = 145°m∠STM = 31°m∠MTU = ?Since, angle STU composes or is the sum of angle STM and angle MTU.
To find angle MTU, simply subract angle STM from angle STU.
m∠STU = m∠STM + m∠MTU
Hence:
m∠MTU = m∠STU - m∠STM
Plug in the given values and simplify
m∠MTU = 145° - 31°
Subtract 31 from 145
m∠MTU = 114°
Therefore, angle MTU measure 114°.
Learn about complementary angles here: https://brainly.com/question/4410854
#SPJ1
2 Write 386 in expanded form
Answers
Answer:
300+ 80+6
Step-by-step explanation:
i think i not sure
1) Movie Checkout for the week Days 2 3 4 A. 10 How many movies were checked out on Day 1? Number of Movies 30 45 60 C. 20 B. 15 D. 25
Answers
Subtract day 4 from day 3 and you get 15
Subtract day 3 from day 2 and you get 15
Every day fifteen more movies are sold that the last, so to find the first you would need to subtract day 2 by 15
30 - 15 = 15
This would only work if the graph is proportional, meaning the increase or decrease is the same for every day.
Pls helpppppp meeee
im so confused
Answers
11. u = {0, 1/3}
12. n = {-4, 0}
13. s = {-5, 0}
Please don’t forget to leave a thanks
y
X
-9
-6
3
9
x - 1
x
3
у
Answers
Answer:
see explanation
Step-by-step explanation:
-9x = -3y
-6x = 2 1/5y
3x = 0y
9x = 2y
7.24 × 10^4 - 7.21 × 10^3 in scientific notation
Answers
\(7.24 * 10^4 - 7.21 * 10^3\) in scientific notation is \(6.519 * 10^4\).
What is scientific notation?
Scientific notation is a way of expressing a number as a number between 1 and to multiplied by a power of 10.
To subtract these two numbers, we need to make sure they have the same exponent. We can do this by rewriting \(7.21 * 10^3\) as \(0.721 * 10^4\) (since \(7.21 * 10^3 = 0.721 * 10^4\)).
Now we can perform the subtraction:
\(7.24 * 10^4 - 0.721 * 10^4 = 6.519 * 10^4\)
Therefore, \(7.24 * 10^4 - 7.21 * 10^3\) in scientific notation is \(6.519 * 10^4\).
To know more about scientific notation visit,
https://brainly.com/question/1767229
#SPJ1
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
Answers
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
learn more about word problem from
https://brainly.com/question/21405634
#SPJ1
The product of 5 and another number has the code for E in its one's place. What digit could be in the ones place of the other number?
Answers
The digits that will be in the one's place of the other number are 1, 3, 5, 7, or 9.
What is a number system?A numeral system is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a particular set in a consistent manner using digits or other symbols.
In different numeral systems, the same sequence of symbols might represent different numbers.
Given that the product of 5 and another number has the code for E in its one's place.
The digit could be in the one's place of the other number since the code for E is 5, the product of 5 and the digit in the one place must end in 5. So, the digit is 1, 3, 5, 7, or 9.
Therefore, the digits that will be in the one's place of the other number are 1, 3, 5, 7, or 9.
To know more about the number system follow
https://brainly.com/question/20709723
#SPJ1
Answer:
Step-by-step explanation: 5 is equal to E. In the ones, place digit can only be a 1-digit number, not 10 or 20. For this, we would need to use a Prime Number. Prime Numbers are the opposite of composite numbers, so, a prime number is a number that is a whole greater than 1. They include 2,3,5,7,11,13,17,19 and 23 as well as 29. If you notice these are all odd numbers. So, what number can we multiply by 5 to get the answer of 5 using the one's place? 2x5=10 but 1x5=5 so a digit that could be in the ones place is a prime number 1. So in a nutshell a prime number 1 could be the answer.
The function g is related to one of the parent function g(x)=-(x-2)^3
Answers
Answer:
(2,0)
Step-by-step explanation:
True or false:a. If the proportion of defectives in the sample is less than 12%, it is reasonable to conclude that the new process is better.b. If the proportion of defectives in the sample is only slightly less than 12%, the difference could well be due entirely to sampling variation, and it is not reasonable to conclude that the new process is better.c. If the proportion of defectives in the sample is a lot less than 12%, it is very unlikely that the difference is due entirely to sampling variation, so it is reasonable to conclude that the new process is better.
Answers
Answer:
false
Step-by-step explanation:
In a population, the percentage or fraction which is not conforming to (defeating) is defined as a ratio of the population's figures of non-conforming goods to the sum of goods in the inhabitants, and the further discussion can be defined as follows:
In option A, it is wrong because the proportion of both the sample is simply an approximation. The real percentage could be more than 12%. Furthermore, the conclusion also that the new procedure is better cannot be reasonably concluded.In options (b and c) both are correct because it is based on the explanation of whether, if the fraction of defective differences is bigger, we can only determine that its new procedure is better or not as a minor difference may occur from the variance of samples.Learn more:
brainly.com/question/14467399
A box contains 5 red marbles, 6 white marbles, and 8 blue. If a Marble is randomly selected from the box, what is the likely hood that it is white? Express it in a fraction.
Answers
Likelihood of white: 6/19
5 by 8 of the children in the field are girls. There are 45 boys. How many girls are there?
Answers
Answer:
5+8 = 13
5:8
Girls
8÷5 × 45
== 28
hope it helped
Answer:
75 girls
Step-by-step explanation:
\(\dfrac{5}{8} \ are\ girls\)
\(\dfrac{8-5}{8}=\dfrac{3}{8} \ are \ boys\)
Let the total children = x
\(\dfrac{3}{8} \ of \ x = 45\\\\\dfrac{3}{8}*x = 45\\\\x =45*\dfrac{8}{3}= 15 * 8\\\)
x = 120 children
Number of girls = 120 - 45 = 75
There are 16 tennis balls and 20 golf balls in a box.
What is the ratio of tennis balls to all the balls in the box?
Answers
Answer:
4:9
Step-by-step explanation:
16 tennis balls + 20 golf balls = 36 balls in the box in total
16 tennis balls to 36 balls
16:36 = 4:9
Logan thinks he can bring the baseball bat home in his suitcase. Is he correct? Use your understanding of the Pythagorean Theorem to explain your answer.
Answers
Answer:
Step-by-step explanation:
Explain how you know that RST is a right triangle.
Answers
Answer:
See below ~
Step-by-step explanation:
Finding the lengths of the sides :
a = √(5 - 1)² + (-5 + 5)² = √(4)² = 4b = √(1 - 1)² + (3 + 5)² = √(8)² = 8c = √(5 - 1)² + (-5 - 3)² = √16 + 64 = √80 = 4√5Evaluating if it is right Δ by verifying Pythagorean Theorem :
a² + b² = c²(4)² + (8)² = (4√5)²16 + 64 = 8080 = 80⇒ ΔRST is a right triangleCassandra earns $12.98 an hour working at Key Food. How much money will she
earn this month, if she works 36.7 hours? Round the amount of time to the
nearest hundredth. *
Answers
Answer:
12.98x36.7=476.366
Danny bought 8 rolls of paper towels. He has 204.8 meters of paper towels in all. How many meters of paper towels are on each roll? A) 21.52 B) 25.12 C) 25.60 D) 26.52
Answers
Answer:C) 25.60
Step-by-step explanation:204.8÷8=25.60
Answer:
:C) 25.60
Step-by-step explanation: