The major thing that Ryan should be worried about is the C) high annual depreciation.
What financial choice should be made?Normally, when we buy cars they have so much value but when the cars start being used more often, they tend to depreciate in value due to wear and tear and second value of the product. This tells us that when a car is driven for more miles in a year, it will depreciate greatly.
We are told that Ryan plans to drive about 40 miles to work and back everyday which means that in a year he would have driven thousands of miles. This will lead to a high depreciation.
Thus, we can conclude that the most important thing that Ryan should be worried about when purchasing this old hatchback is the high depreciation.
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Two teenagers are standing on a 28-meter-high walking bridge and see a boat coming down the river toward the bridge. The angle of depression formed by the
teenagers' horizontal line of sight and their line of sight to the front of the boat is 21°. If the teenagers' horizontal line of sight is 1.8 meters above the bridge, how far away from the bridge is the front of the boat? Round your answer to the nearest tenth.
Answer:
77.6 m
Step-by-step explanation:
Angle of Depression
If a person stands at a point and looks down at an object, the angle between their horizontal line of sight and the object is called the angle of depression.
To find how far the bridge is from the front of the boat, model as a right triangle and solve using the tan trigonometric ratio.
Tan trigonometric ratio
[tex]\sf \tan(\theta)=\dfrac{O}{A}[/tex]
where:
θ is the angle.O is the side opposite the angle.A is the side adjacent the angle.Given information:
Height of bridge = 28 mPerson height = 1.8 mAngle of depression = 21°As the teenagers' line of sight is 1.8 m above the bridge, the side of the right triangle opposite the angle of depression is:
28 + 1.8 = 29.8 mTherefore:
[tex]\implies \sf \tan21^{\circ}=\dfrac{29.8}{A}[/tex]
[tex]\implies \sf A=\dfrac{29.8}{\tan21^{\circ}}[/tex]
[tex]\implies \sf A=77.6\;m\;\;(nearest\;tenth)[/tex]
What is the absolute deviation at 2?.
It has a median value of 2. The absolute deviations about 2 are 1, 1, 0, 0, 2, 4, 7 which in turn have a median value of 1.
What is median?The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory. It might be referred to as "the middle" value for a data collection. The value that, when a dataset is arranged, falls exactly in the center is the median. It is a measure of central tendency that distinguishes between the values' lowest and maximum 50%. Depending on whether you have an odd or an even number of data points, the processes for calculating the median change.
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In DEF, C is the centroid.
If DM=57, find DC and CM
DC=units
Answer:
DC = 38 ; CM = 19
Step-by-step explanation:
DC = 2/3 DM
DC = 2/3 * 57
DC = 2 * 19
DC = 38
CM = 57 - 38 = 19
During the month of march, hazure services made purchases on account totaling $43,500. Also during the month of march, hazure was paid $8,000 by a customer for services to be provided in the future and paid $36,900 of cash on its accounts payable balance. If the balance in the accounts payable account at the beginning of march was $77,300, what is the balance in accounts payable at the end of march?.
The balance of Accounts Payable at the end of March is $83,900.
According to question;
Balance in the beginning Accounts payable account =$77,300
Add: Purchases made during the month on account = $43,500
Less: Cash already paid on account payable balance =$36,900
Balance at the end of march in Accounts payable = $83,900
Therefore, balance left at the end of march is $83900.
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. A rectangular field is 80 meters long and 40 meters wide. Calculate the area of the field.
Answer:3200 m²
Step-by-step explanation: length times width so 80*40
Answer: 3,200 meters
Step-by-step explanation:
Area of a rectangle = length times width
A=lw
A=80(40)
A=3,200 meters
A basketball player can make 25 free throws in 8 minutes. How
many free throws can he make in 12 minutes?
Answer:
37.5
Step-by-step explanation:
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The team's engagement score was 4.89 this month. The score has been improving at a rate of 12% per month. What was the score 4 months ago?
1.09
2.54
3.11
4.30
4.77​​​​​​​
The engagement score in 4 months ago would be 7.69.
Future worth is the value of an asset in the future. It estimates the nominal amount of money that a certain quantity of money will be "worth" at a specified moment in the future under the assumption of a particular interest rate and is calculated by multiplying the present value by the accumulation function.
In four months, we must determine the future value of the engagement score.
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value
P = Present value = 4.89
R = rate of increase = 12%
N = number of months = 4
4.89 ( 1.12)^4 = 7.69
Therefore the engagement score in 4 months ago would be 7.69.
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Jack's family spends $250 per month on rent. How much will they pay for the whole year?
Answer:
3000 dollars per year
Step-by-step explanation:
hope this helped :)
Unit 4, Lesson 8: Tax and Tip newste
8.1: Notice and Wonder: The Price of Sunglasses
You are on vacation and want to buy a pair of sunglasses for $10 or less. You
find a pair with a price tag of $10. The cashier says the total cost will be
$10.45.
1. The tax is what percent of the original price?
2. An item that costs $20 would have a tax of how much?
3. Ray Bans cost $852.00, how much would the total be after tax?
1. The tax percentage will be 4.5%.
2. An item that cost $20 would have a tax of $9.
3. Ray Bans cost $852.00, the total cost after tax would be $1,223.
Define percentage.
A value or ratio stated as a fraction of 100 is known as a percentage in mathematics. Percent is derived from the Latin word per centum, which means "by the hundred." In the sixteenth century, the Latin expression made its way into English. Although the abbreviations "pct.", "pct.", and occasionally "pc" is also used, the percentage sign, "%," is frequently used to denote it. An amount that is a percentage is dimensionless and has no assigned measurement.
Solution Explained:
Given here,
The original cost of the Sunglasses = $10
Total cost = $10.45
Tax amount = 10.45 - 10 = $0.45
1. Tax % = [tex]\frac{0.45}{10} X 100[/tex] = 4.5%
2. Using the tax percentage from (1),
Tax for an item that costs $20 is
= [tex]\frac{45}{100} X 20[/tex] = $9
3. Ray Bans cost = $852
Tax = [tex]\frac{45}{100} X 852[/tex] = $371.25
Total after-tax = 852 + 371.25 = $1,223
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help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
An amount of $ 23,479.45 after a period of 5 years.
How to determine the final amount of the money deposited in an account
In this problem we find the case of an amount that increases itself by the effect of compound interest, that is, that the money deposited is increased accumulatively. The compound interest model is described below:
C' = C · (1 + r / 100)ⁿ
Where:
C - Initial amount, in monetary units. r - Interest rate, in percentage.C' - Final amount, in monetary units. n - Number of periods, in quarters.Please notice that four quarters equals a year.
If we know that C = 13,000, r = 3 and n = 20, then the final amount of the money deposited in the account after a period of 5 years is:
C' = 13,000 · (1 + 3 / 100)²⁰
C' = 23,479.45
The final amount of the money deposited is $ 23,479.45.
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write the equation of the parabola that has its x-intercepts at (-2 - 2,0) and (-2 2, 0) and passes through the point (-1, 1).
The equation of the parabola is y = -1/3 ([tex]x^2[/tex]+4x).
What is parabola ?
A bowl-shaped object forms a curve when the surface of the cone intersects a plane perpendicular to a straight line. Another curve is created when the moving point is moved such that the distance from the fixed point is equal to the distance from the fixed line. A parabola is a U-shaped curve representing the graph of a quadratic function. Graph of the equation y=x2,
Here the equation of the parabola is
=> y= a[tex]x^2[/tex]+bx+c.
Now pt given points to find value of a, b, c .
=> y = a(x-p)(x-q)
=> y = a(x+2-2)(x+2+2)
=> y = a(x)(x+4)
Here the line passes through the point ,
(x,y) = (-1,1)
=> 1 = a(-1)(-1+4)
=> 1 = a (-3)
=> a = -1/3.
Now the equation is ,
y = a (x)(x+4)
=> y = -1/3 ([tex]x^2[/tex]+4x)
Therefore the equation of the parabola is y = -1/3 ([tex]x^2[/tex]+4x).
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m^2− 5m − 14 = 0 wht is it
Answer:
Uhmmm You Didn't Say The Formula...
Can someone pls help me and answer my questionnnn????
Alex is covering a bulletin board with blue contact paper. How much blue paper will she need to cover all AREA of of
the bulletin board that has Length 2.6 meters and width 1.2 meters.
Write numerical answer only (no units) Hint: A=LW
Pls show step by step on how to do it pls.
Hence, the blue paper will she need to cover all area of the bulletin board is 3.12.
The rectangle's characteristics are listed below:
There are four vertices and four sides.Every vertex has an angle of 90 degrees.Equal and parallel sides are on the opposing sides.Intersect each other diagonallyThe perimeter is equal to double the length plus width of the object.the product of its length and breadth determines its area.It has four right angles and is a parallelogram.All interior angles added together equal 360 degrees.Here, the length and width are different. So the bulletin board will be rectangle.
Given :
Length = 2.6 ; Width = 1.2
Area of rectangular bulletin board = Length * Width
= 2.6 * 1.2
= 3.12
Hence, the blue paper will she need to cover all area of the bulletin board is 3.12.
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In exercie 13, uppoe grape cot $2. 35 per pound, orange cot $0. 99 per pound, and apple cot 1. 65 per pound. Rounding to the nearet whole number, about how much did Adrian pay for all the fruit?
Adrian pay $5.0 for all the fruits.
Given that grapes cost $2. 35 per pound, orange cost $0. 99 per pound, and apple cost 1. 65 per pound.
We want to find the total amount Adrian should pay for the fruits.
The given grapes cost is $2.35 per pound.
The given orange cost is $ 0.99 per pound.
The given apple cost is $1.65 per pound.
We will find the total cost of the fruits by adding all the amounts of the fruits.
So,
Total cost=Cost of grapes+ Cost of orange+ Cost of apple
Total cost=2.35+0.99+1.65
Total cost=4.99 or 5.0(approx)
Hence, the Adrian will pay $5.0 when the grapes cost $2. 35 per pound, orange cost $0. 99 per pound, and apple cost 1. 65 per pound.
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BY SELLING AN ARTICLE FOR $10.80, A SHOPKEEPER MAKES A PROFIT OF 8%. WHAT SHOULD BE THE SELLING PRICE FOR A PROFIT OF 20%?
To make a profit of 20% the article should be sold for $12.1
How to calculate the new selling priceThe new selling price will be solved by comparing the percentage increment with the old selling price
The selling price is $10.8 and the profit is 8%
The cost of the item is gotten from the profit percent as below
10.8 * 0.08 = 0.864 (profit)
cost price + profit = selling price
cost price = selling price - profit
cost price = 10.8 - 0.864
cost price = 9.936
comparing the percentages
8% profit is 0.864, 20% profit will be
8 = 0.864
20 = ?
cross multiplying
8 * ? = 20 * 0.864
? = 2.16
The new selling price
= cost price + profit
= 9.936 + 2.16
= 12.096 approximately $12.1
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Pls help pls pls pls pls pls
PLEASE HELP ME!!! it's due today! it's the last question i need but i don't get itttttttttt
Answer:
[tex]3x + 7y \geq 42[/tex]
Step-by-step explanation:
x = amount of naxvips sold
y = amount of corazs sold
We know that she will be charging 3 dollars per naxvips so we write 3x and we know that she will charging 7 dollars per corazs. Thus we add these 2 terms. She expects to make at least 42 dollars, this means will we use a greater or equal to inequality. We do this because she will make AT LEAST 42 dollars which means its possible for her to make GREATER than 42 dollars.
Inverse Variation
f(x) varies inversely with x , and f(x) equals −8 f(x)=−8 when x equals 5 x=5 .
What is x when f(x) equals −20? f(x)=−20?
For given function when f(x) = -20 then x = 2
In this question, f(x) varies inversely with x
We have been given f(x) = -8 when x = 5
We need to find x when f(x) = -20
So, we get an equation,
-20/5 = -8/x
-4 = -8/x
x = (-8)/(-4)
x = 2
Therefore, for given function when f(x) = -20 then x = 2
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Write the following expanded form in
exponent form.
9.6.6.9.6.6
The expanded form of 966966 is 9x(100,000) + 6x(10,000) + 6x(1,000) + 9x(100) + 6x(10) + 6x(1) which comprises operations on face values and place values.
What do we mean by expanded form?
The expanded form of a number is the representation of the number as summation of its digit multiplied by their respective place values.
For example, 783 in expanded form can be written as -
7x(100) + 8x(10) + 3x(1)
100, 10 and 1 are place values
7,8 and 3 are place values
According to the given data:
To write 966966 in expanded form
1. Write the number in standard form: 966,966
2. Multiply each digit with its place value.
9x(100,000)
6x(10,000)
6x(1,000)
9x(100)
6x(10)
6x(1)
3. Write the values in summation form to get the expanded form.
966,966 = 9x(100,000) +6x(10,000) + 6x(1,000) + 9x(100) + 6x(10) + 6x(1).
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Megha wanted to find 3 consecutive odd numbers that add up to 75. She wrote down the equation (x - 2) + x + (x + 2) = 75 and solved it to find the three numbers. Has she framed the equation correctly and why ?
Answer:
First, you want to solve the equation with her formula. We know the three consecutive odd numbers that add up to 75 are 23, 25, and 27. Megha seems to use 25 as x, so the first one is x-2. 25-2 = 23. The last one is 27-2=25. She has framed the equation correctly because when it comes to odd and even numbers, we skip the even numbers by 1 to get the odd number. Odd : 1, 3, 5. We skip the even numbers and add 2 everytime, so Megha used this to find the correct answer.
Find the value(s) of the unknown(s) in each of the following figures.
The value of c = 4.28 cm and the value of d = 30.3 cm
Consider the big triangle
The hypotenuse of the triangle = 39 cm
The base of the triangle = 25 cm
The vertical side = 7c
According to Pythagorean theorem
The square of the hypotenuse is equal to the sum of the square of the base and the square of the vertical side
[tex]39^2=25^2+(7c)^2[/tex]
1521 = 625 + [tex]49c^2[/tex]
[tex]49c^2[/tex] = 1521 - 625
[tex]49c^2[/tex] = 896
[tex]c^2[/tex] = 896 / 49
[tex]c^2[/tex] = 128/7
c = 4.28 cm
Consider the small triangle
The vertical side = 4c
= 4 × 4.28
= 17.12 cm
[tex]d^2=25^2+17.12^2[/tex]
[tex]d^2[/tex] = 625 + 293.09
[tex]d^2[/tex] = 918.09
d = 30.3 cm
Hence, the value of c = 4.28 cm and the value of d = 30.3 cm
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what is the degree of the polynomial 3x4y3-3x2y-5x-7
Answer: it is B
Step-by-step explanation:
hope this helps!!
To win at LOTTO in one state, one must correctly select 6 numbers from a collection of 54 numbers (1 through 54). The order in which the selection is made
does not matter. How many different selections are possible?
There are different LOTTO selections.
The number of different possible selections for the lottery is of:
25,872,165.
How to obtain the number of possible selections?First we decide which formula is used, as follows:
Permutation formula -> order is not important.Combination formula -> order in important.It is stated in this problem that the order of the numbers is not important, hence the combination formula is used.
The number of different combinations of x objects from a set of n elements is obtained with the formula presented as follows, using factorials.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 6 numbers are selected from a set of 54, hence the number of different combinations is of:
[tex]C_{54,6} = \frac{54!}{6!48!} = 25,872,165[/tex]
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Tom is mailing packages. Each small package costs him $2.50 to send. Each large package costs him $3.10 . How much will it cost him to send 4 small packages and 1 large package?
Answer: $13.10
Step-by-step explanation: 4 small packages, 4*2.50 is $10. Add one large package which is $3.10 and you'll have your answer, it costs $13.10.
Answer:
It will cost him $13.10 to send 4 small packages and 1 large package.
Step-by-step explanation:
1. Cost of sending 4 small packages = 4 * $2.5 = 4 * $2.50 = $10
2. Cost of sending 1 large package = 1 * 3.1 = $3.1
Total cost of sending 4 small and 1 large packages = $10 + $3.10 = $13.10
Find two consecutive integers such that three more than twice the greater integer is the
same as three times the smaller integer.
a linear function f models a relationship in which the dependant variable decreases 6 units for every 3 units the independant variable decreases. the value of the function at 0 is 4.graph the function.identify the slope, y intercept, and x intercept of the graph
The slope, y-intercept, and x-intercept of the graph of the linear function are 2, 4 and -2 respectively
How to graph the function and identify the slope, y-intercept, and x-intercept?The general equation of a straight line is:
y = mx + c,
where m is the slope of the line and c is the y-intercept
Given that: the linear function f models a relationship in which the dependent variable decreases 6 units for every 3 units the independent variable decreases. This implies:
slope (m) = (-6)/(-3) = 2
And that the value of the function at 0 is 4. This implies:
y-intercept (c) = 4
Substitute m = 2 and c = 4 into the general equation:
y = mx + c
y = 2x + 4 (This is the linear function)
To plot the graph:
Using y = 2x + 4
find y when x = 0:
y = 2(0) + 4
y = 4
=> x = 0, y = 4
Also, find x when y = 0:
0 = 2x + 4
2x = -4
x = -4/2 = -2
=> x = -2, y = 0
Thus, graph x = 0, y = 4 and x = -2, y = 0 as shown in the image attached
Therefore, the slope, y-intercept, and x-intercept of the graph are 2, 4 and -2 respectively
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Write the rule for the transformation.
The rule for the transformation of ΔDEF to ΔD'E'F' is reflection about the line x = y
In this question, we can observe that
D(-3, 5) -> D(5, -3)
E(-3, 3) -> E'(3, -3)
F(1, 2) -> F'(2, 1)
This means, the coordinate (x, y) of preimage is transformed to (y, x)
This is nothing but reflection of triangle DEF about the line x = y
Therefore, the rule for the transformation of ΔDEF to ΔD'E'F' is reflection about the line x = y
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Tammy purchased 20.5 centimeters of wire for $16.40.
Find the unit price in dollars per centimeter.
If necessary, round your answer to the nearest cent.
Answer:
$0.80
Step-by-step explanation:
Given:
20.5 cm wire costs $16.40.To find the unit price in dollars per centimeter, divide the total amount by the number of centimeters:
[tex]\implies \dfrac{16.40}{20.5}=\dfrac{164}{205}=\dfrac{41 \times 4}{41 \times 5}=\dfrac{4}{5}=0.8[/tex]
Therefore, the unit price in dollars per centimeter is $0.80.
in words, define the random variable x. the adult's opinion regarding the super bowl the number of adults surveyed until one who watches the super bowl is found the number of adults who watch the super bowl the favorite team of the adult
The number of adults surveyed until one who watches the Super Bowl is found.
Given information,
Let's say that 42% of adults in America are likely to watch the Super Bowl. Everybody is seen as independent. We are curious about how many adults in America we will have to poll before we discover one who will watch the Super Bowl.
Given that we are interested in the number of adults in America we must survey until we find one who will watch the Super Bowl.
Hence Random variable x is:
The number of adults surveyed until one who watches the Super Bowl is found.
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