Answer:
3/7=0.4285
Step-by-step explanation:
0.4285
= 0.429
A charter fishing company buys a new boat for $224,000 and assumes that it will have a trade-in value of $115,200 after 16 years.
a. Find a linear model for the depreciated value V of the boat t years
after it was purchased.
b. What is the depreciated value of the boat after 10 years?
c. When will the depreciated value fall below $100,000?
d. Graph V for 0 ≤ t ≤ 30 and illustrate the answers from (b) and
(c) on the graph.
First, according to the information, we build a linear model, and then, the model is used to find the information asked.
a) The linear model is:
[tex]V(t) = 224000 - 6800t[/tex]
b) The depreciated value of the boat after 10 years is of $156,000.
c) The depreciated value falls below $100,000 after 18.24 years.
d) The sketch is given at the end of the answer.
Item a:
The initial value is of $224,000, thus, the y-intercept of the linear function is of [tex]b = 224000[/tex].The value decayed to $115,200 in 16 years, thus, the slope of the linear function is:[tex]m = \frac{115200 - 224000}{16} = -6800[/tex]
Then, the linear model is:
[tex]V(t) = 224000 - 6800t[/tex]
Item b:
The value after 10 years is V(10), so:
[tex]V(10) = 224000 - 6800(10) = 156000[/tex]
Then, the depreciated value of the boat after 10 years is of $156,000.
Item c:
This is t for which: V(t) = 100000. So
[tex]V(t) = 224000 - 6800t[/tex]
[tex]100000 = 224000 - 6800t[/tex]
[tex]6800t = 224000 - 100000[/tex]
[tex]6800t = 124000[/tex]
[tex]t = \frac{124000}{6800}[/tex]
[tex]t = 18.24[/tex]
The depreciated value falls below $100,000 after 18.24 years.
Item d:
The sketch is appended at the end of this answer.
A similar problem is given at https://brainly.com/question/24978772
Your business is looking into three contracting firms. Based on previous research, there is a 75% chance that company 1 will earn you $40,000. There is a 45% chance that company 2 will earn you $60,000. Company 3 has a 30%chance of earning you $80,000. It costs $20,000 to draw up legal paperwork for each company. How much profit or loss would you expect after this deal is done if you sign with all 3 companies?
$21,000 loss
$81,000 loss
$21,000 profit
$81,000 profit
there would be a $21,000 profit.
this is because of the equation:[tex]40,000(.75) + 60,000(.45)+80,000(.30)+(-20,000)(1)= 21,000[/tex]
I would expect a $21,000 profit if I sign with all 3 companies.
Given that my business is looking into three contracting firms, and based on previous research, there is a 75% chance that company 1 will earn me $ 40,000, there is a 45% chance that company 2 will earn me $ 60,000, while Company 3 has a 30% chance of earning me $ 80,000, and it costs $ 20,000 to draw up legal paperwork for each company, to determine how much profit or loss would I expect after this deal is done if I sign with all 3 companies, the following calculation must be performed:
((40,000 x 0.75) - 20,000) + ((60,000 x 0.45) - 20,000) + ((80,000 x 0.30) - 20,000) = X 30,000 - 20,000 + 27,000 - 20,000 + 24,000 - 20,000 = X 81,000 - 60,000 = X 21,000 = X
Therefore, I would expect a $21,000 profit if I sign with all 3 companies.
Learn more in https://brainly.com/question/22097128
Find the intercepts of the following equation
7x^2+y=7
If mVYU=73, then what is mWYU
Answer:
Since VYU is 73 and angle from v to w is 180 then WYU =180-73 =107
Víctor has 2 times as many trophies as Dean. Together ,víctor and Dean have 27 trophies does víctor have?
Answer:
Victor has 18 trophies
Step-by-step explanation:
Let's set up "let statements"
Let d = Dean's trophies
Since Victor has 2 times as many trophies as Dean, we can set up a let statement for Victor like this...
Let 2d = Victor's trophies
Now we can set up an equation! Since we know Dean and Victor have 27 trophies altogether...our equation has to involve addition...
2d + d = 27
Combine like terms...(2d and d)
3d = 27
Divide 3 on both sides to isolate the variable "d"
3d ÷ 3 = d
27 ÷ 3 = 9
So...
d = 9
That means Dean has 9 trophies. But we are not done yet because we need to figure out how many trophies Victor has. Since Victor has 2 times the number of trophies as Dean we can do...
2 · 9 = 18
Therefore, Victor has 18 trophies!
Hope this helps :)
4/9x8/75
I do not get it
Answer:
124/ 225
see photos for step to step solution
NO LINKS OR ASSESSMENT!!!
Write a rule to describe each transformation: #10 & #12
Answer:
Step-by-step explanation:
10
You are rotating the the triangle 180 degrees about the origin. The rule for that is (x,y) ----> (-x,-y)
So X starts at (-4,1) and rotates until it hits (- - 4, -1 or (4,-1). Question is that where X' is? Yes.
Now try the next two points
W(-3,-4) ------> W'(- - 3, - -4) = W'(3,4)
Y(-1,-2) =====> y'(- - 1 , - - 2) = Y'(1,2)
Is that where these points are? Yes it is
12
This given triangle GFH rotates 90 anticlockwise. The rule for that (x,y) ===>(-y,x)
This means that you interchange x and y and make the y value minus. All you have to do is obey the rule.
F(-3,0) becomes F'(0,-3)
G(4,0) becomes G'(0,-4)
H(-3,3) becomes H'(-3,-3)
What should you be convinced of? You should think there is no stretch taking place -- the triangles are not getting bigger or smaller. You should see that the shape remains the same. If you cut both out with a pair of scissors and put one on top of the other, you could not tell which came from where.Answer:
10) (x, y) ⇒ (-x, -y) . . . . rotation 180° about the origin
12 (x, y) ⇒ (-y, x) . . . . . rotation 90° CCW about the origin
Step-by-step explanation:
10) The order of the points WXY is CW in both figures, so no reflection (or an even number of reflections) across a line will be involved. Each image point is the same distance from the origin as its preimage point, so no dilation is involve. Those distances are in opposite directions, so rotation 180° about the origin is indicated.
The transformation describing that is ...
(x, y) ⇒ (-x, -y)
__
12) The order of points GHI is CW in both figures, so reflection across a line is not involved. Each image point is the same distance from the origin as its preimage, so no dilation is involved. The direction from the origin is different by 90°, so there has apparently been a 90° CCW rotation about the origin. This transformation is described by the rule ...
(x, y) ⇒ (-y, x)
Kendra is also buying souvenirs for the family reunion. She wants to spend under $2.25 for each item.
Which souvenirs cost less than $2.25 per item?
Check all that apply.
tote bags: 25 for $49.00
picture frames: 15 for $32.25
water bottles: 12 for $27.60
mugs: 8 for $15.92
T-shirts: 10 for $25.00
Answer:
1st,2nd,4th,
Step-by-step explanation:
You have to divide the price by the numbers of items!
Answer:
It's A,B,D
Hence, 1 tote bag, 1 picture frame and 1 mug cost under $2.25.
Step-by-step explanation:
what's name of H2CO3
Answer:
carbonic acid
Step-by-step explanation:
this is a compound called carbonic acid
PLEASE HELP! Award brainliest and thanks ASAP
Answer:
y=-2/5x-1
Step-by-step explanation:
I started by looking for the y-intercept of the line, where the line intersects with the y-axis and saw it was -1.
Then I looked at the slope of the line and used the rise/run strategy. From the y-intercept to the point it was 2 units down and 5 units across (2/5) and since it is going down it's negative
Plugging it in: y=mx+b
m=slope
b=y-intercept
y=-2/5x-1
Hope this helps :)
❗25 POINTS❗ ...................................................
Answer:
22
Step-by-step explanation:
Kaitlin drove 325 miles in 5 hours. At the same rate, how long would it take her to drive 455 miles?
Answer:
7 hours
Step-by-step explanation:
take the original distance traveled to find the speed traveled and take the new distance to travel devided by the speed 325÷5=65 455÷65=7
6x²+2x-8÷(2x-2)=
How do you divide polynomials by binomials
9514 1404 393
Answer:
3x +4
Step-by-step explanation:
Polynomial long division is done the same way numerical long division is done.
The next quotient term is found by dividing the highest-degree dividend term by the highest-degree divisor term. The result is the exact quotient term. There is no need to go back and make an adjustment as there sometimes is with numerical long division.
Once you have the quotient term, you multiply that by the divisor and subtract from the dividend. This is the same procedure as is used with numerical long division. The difference is the new dividend, and the process repeats.
When the dividend is lower-degree than the divisor, that dividend is the remainder. For this division, the remainder is zero, so the quotient has no fractional part.
__
Both the quotient and the divisor can have any degree and any number of terms. It is useful to write both so all powers of the variable are accounted for, using 0 as a coefficient where necessary. This helps keep things straight when you're multiplying and subtracting. As you know, only "like" terms (terms of the same degree) can be combined by addition or subtraction.
What is the equation of the line that passes through the point (–2, 1) and
has a slope of - 5/2
Answer:
y = -5/2x + -4 (or) y = -5/2x - 4
Step-by-step explanation:
Your slope is -5/2, so all you have to do is take the point (-2, 1) and use the slope to find a second point of (0, -4) which is coincidentally the y-intercept. Then you just plug the data into the equation y = mx+b. You do that and you get the answer of y = -5/2x+-4
HURRY Alot of Points (50)
Which statements are true?
Choose all answers that are correct.
A. Senators have to have been a U.S. citizen for nine years prior to being elected; members of the House of Representatives must be American citizens for seven years before being elected.
B. Senators and members of the House of Representatives must agree to serve at least two terms in office.
C. Senators and members of the House of Representatives must live in the state they represent.
D. Senators must be at least 30 years old; members of the House of Representatives must be at least 25.
Answer:
Step-by-step explanation:
A. Senators have to have been a U.S. citizens for nine years prior to being elected; members of the House of Representatives must be American citizens for seven years before being elected.
C. Senators and members of the House of Representatives must live in the state they represent.
D. Senators must be at least 30 years old; members of the House of Representatives must be at least 25.
What is the area of a circle whose circumference is 16 pi inches?
Answer:
=100.53
Step-by-step explanation:
Use the vertical line test to determine whether the relation graphed below is a function.
A. Yes
B. No
C. It cannot be determined.
Answer:
No
Step-by-step explanation:
Draw a vertical line. If a vertical line passes through two or more points on the graph, it is not a function. Since it passes through 2 points, it is not a function
Hello, i'm looking for someone to help me with my missing math hw?
Answer:
Hello! I can help you with it :)
Well, I do not know where you live, so I do not know what nooks and crannies your hm could be hiding.
How do you write 3 3/4 as a decimal?
Questlon 3 OT TU
What is the effect on the graph of f(x) = x2 when it is transformed to
h(x) = * x2 +12?
A. The graph of f(x) is vertically compressed by a factor of 5 and
shifted 12 units to the left.
B. The graph of f(x) is horizontally compressed by a factor of 5 and
shifted 12 units up.
C. The graph of AX) is vertically compressed by a factor of 5 and
shifted 12 units up.
D. The graph of f(x) is horizontally stretched by a factor of 5 and
shifted 12 units to the left.
SUBMIT
Answer:
The answer is A. when you compress horizontally you take it by a factor of 1/a. in this case a=5. 12 is your k value and k decides whether or not you shift up or down, because k is positive or is upward by 12
Step-by-step explanation:
Please Mark Brainliest
Hey ! Can anyone help me with this please ? Thank you so much .
9514 1404 393
Answer:
x = 57
Step-by-step explanation:
Where parallel lines are crossed by a transversal, all obtuse angles are congruent and supplementary to all acute angles, which are also congruent.
x = 180 -123
x = 57
how much of the circle is shaded 1/3 3/7
Answer:
876
Step-by-step explanation:
2 3 - 3 / 23- sa
$21
a
Hannah works for a regular hourly rate of
Last week she worked a total of 50 hours.
Overtime is paid for any hours worked above 40 hours.
The overtime rate is 1.5 times the regular rate.
Federal tax withholding is 12%
State tax withholding is 5%
FICA withholding is 7.5%
Also, Hannah pays $100 per week for medical insurance.
Calculate Hannah's Net Pay.
You must show all work.
Answer:
522.87
Step-by-step explanation:
15*40=600
22.5*10=225
825*24.5%=202.13
825-100-202.13=522.87
¿Es 42.497.365 divisible por 6?
No, 42,497,365 is not divisible by 6.
Hope it helps you! :)
[tex]GraceRosalia[/tex]
If log10 x=-5, what is the value of x?
Answer:
A
Step-by-step explanation:
[tex]log_{10}x=-5\\10^{-5}=x\\x=\frac{1}{10^5}[/tex]
Need help ASAP. Due in 15min….
[tex]1 \times \frac{3}{5} + ( \frac{7}{10} )[/tex]
Answer:
1 \times \frac{3}{5} + ( \frac{7}{10} )
Answer:
Second and Fifth answers
Step-by-step explanation:
The negative is being multiplied by a negative so the 7/10 should be positive.
(5 - 2i) + (-4 + 81)
O A. 5i
B. 7i
O c. 1-6
D. 1 + 6
Answer:
82 - 2i
Step-by-step explanation:
(5 - 2i) + (-4 + 81)
5 - 2i + 77
= 82 - 2i
1 + 6i
we open the brackets to give us
5 - 2i - 4 + 8i
collecting like terms, we have,
-2i + 8i + 5 - 4
6i + 1
or
1 + 6i
What is cos(317)? explain how I would get that solution without using a calculator please. Correct answer gets BRAINLIEST!!
Answer:
Since our angle is greater than 270 and less than or equal to 360 degrees, it is located in Quadrant IV
In the fourth quadrant, the values for cos are positive only.
317 is an obtuse angle since it is greater than 90°
cos(317) = 0.73135369730756
Step-by-step explanation:
b) 2a + 3b If a = 7 and b = 2, find the value of a) ab c) 2ab d) (a - b)2
Answer:
b) 20, a) 14, c) 28, d)10
Step-by-step explanation:
b) 2a +3b ; a=7 and b=2
2(7) + 3(2)
14 +6
20
a) ab
(7)(2)
14
c)2ab
2(7)(2)
14(2)
28
d) (a-b)2
2a-2b
2(7)-2(2)
14-4
10
I was a bit confused at the question, but those were the answers that I got and the work that follow. Hope this helps! Good luck.
-11.0 - 3.5
Need to solve by steps
Answer: -14.5
What I did was Subtract 3.5 from -11.
When you add them together, you get 14.5, but 14.5 isn't correct, as that's a very large number compared to -11.
Answer:
-14.5
Step-by-step explanation:
-11 - 3.5
Because 11 is already negative, when you subtract a number from a negative, think of -11 becoming "smaller" (smaller being -14, or -25).
When doing -11 - 3.5, think if it as adding 11 and 3.5 together !
When you add them together, you get 14.5, but 14.5 isn't correct, as that's a very large number compared to -11.
You add a negative sign to said -14.5, and that's your answer !
Subtracting from a negative is confusing, so I taught myself to think of it as adding the numbers as if they were positive and adding a negative sign !