Answer:
F = P(1 - x)^n
F = 10,000(1 - 0.1)^7
F = 10,000(0.9)^7
F = $4,783
The value of the tractor in 7 years is $4,783
Step-by-step explanation:
Applying the exponential depreciation equation;
F = P(1 - x)^n
Where;
F = final value after n years
P = initial value
x = depreciation rate (fraction)
n = time
Given;
P = $10,000
x = 10% = 0.10
n = 7 years
Substituting the given values;
F = 10,000(1 - 0.1)^7
F = 10,000(0.9)^7
F = 4782.969
F = $4,783
The value of the tractor in 7 years is $4,783
In the figure below, triangle RPQ is similar to triangle RTS.
Triangle R P Q. Side P R is 42 and side P Q is x. Triangle S R T. Side S T is 36 and side R T is 28.
What is the distance between P and Q?
24
42
50
54
Answer:
The distance between P and Q is 54
Step-by-step explanation:
We are given that triangle RPQ is similar to triangle RTS.
Property of similar triangle: The ratio of any pair of corresponding sides is the same.
So, by property : [tex]\frac{RP}{RT}=\frac{PQ}{ST}[/tex]
PR=42
PQ=x
ST=36
RT=28
So,[tex]\frac{42}{28}=\frac{x}{36}[/tex]
[tex]\frac{42 \times 36}{28}=x[/tex]
54=x
Hence the distance between P and Q is 54
Answer:
D) 54
Step-by-step explanation:
Completed the test earlier
hhhhhhheeeellllpppp mmmmmeeeeee
The answer appears incorrect, please help me correct it :)
Every line on the graph is 1/2 unit.
When y = 0, x would be -0.25 and 1.25
When y = 2, x would be -0.5 and 1.5
A bag contains 15 marbles. The probability of randomly selecting a green marble is 1/5. The probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble is 2/25. How many blue marbles are in the bag?
2
3
5
6
Answer:
6 blue marbles
Step-by-step explanation:
Given;
Total number of marbles N = 15
probability of randomly selecting a green marble
P(G) = 1/5
The probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble P(G∩B) = 2/25
P(G∩B) = P(G) × P(B)
P(B) = P(G∩B) ÷ P(G)
The probability of selecting a blue marble
P(B) = 2/25 ÷ 1/5 = 2/5
The number of blue marbles N(B) = P(B) × N
N(B) = 2/5 × 15 = 6
There are 6 blue marbles
what is the value of x+7 when x=3?
Answer:
10
Step-by-step explanation:
Replacing x for three (x=3) would make the equation then read 3+7
Answer:
The answer is 10.
Step-by-step explanation:
You have to substitute x = 3 into the expression :
[tex]x + 7[/tex]
Let x = 3,
[tex]3 + 7 \\ = 10[/tex]
is the bisector of BOT.
Answer:
uh say that again slower
Step-by-step explanation:
Point V lies between points U and W on Line segment U W.
A line has points U, V, W. The length between U V is 2 x minus 4. The length between V W is 4 x + 10.
If UW = 9x – 9, what is UW in units?
5 units
6 units
30 units
36 units
Answer:
The correct answer is (d) 36 units.
Step-by-step explanation:
Just took the test on edge :)
The measure of UW is 36 units
The measure of angles between segmentsFrom the question, a line has points U, V, W. If Point V lies between points U and W on Line segment U W, then;
UV + VW = UW
Given the following
VW = 4 x + 10.
UW = 9x – 9
UV = 2x - 4
Substitute
2x - 4 + 4x + 10 = 9x - 9
6x + 6 = 9x - 9
-3x = -15
x = 5
UW = 9x - 9
UW = 45 - 9
UW = 36 units
Hence the measure of UW is 36 units
Learn more on angles here: https://brainly.com/question/25770607
Which ordered pair is the solution to the system of equations?
x + 2y = -8
y= 1/2x-2
Two planes are flying away from Toronto Pearson International Airport. The Air Canada
plane is flying with an average speed of 800 km/h in the direction of N30°W and the
British Airways plane is flying with an average speed of 750 km/h in the direction of
545°W. Assuming that the planes left at the same time, using different runways, how
far apart (to the nearest km) are the two planes after 90 minutes? N30°W means the angle
between north and west is 30° and 545°W the angle between south and west is 45°.
Please help ASAP!
Answer:
1832 miles
Step-by-step explanation:
First we need to find the angle between the routes of the planes.
If one is N30°W and the other is S45°W, we can find the angle between the routes with the following equation:
30 + angle + 45 = 180
angle = 105°
Then, we need to find the distance travelled by each plane, using the formula:
distance = speed * time
The time is 1.5 hours, so we have that:
distance1 = 800 * 1.5 = 1200 km
distance2 = 750 * 1.5 = 1125 km
Now, to find the distance between the planes, we can use the law of cosines:
distance^2 = 1200^2 + 1125^2 - 2*1200*1125*cos(105)
distance^2 = 3356214.43
distance = 1832 miles
Please answer the question below and show your work!
|
|
|
|
v
Answer:
10
Step-by-step explanation:
F + V − E = 2
Where F is the number of faces, V is the number of vertices and E is the number of edges
F + 16 - 24 = 2
Combine terms
F -8 = 2
Add 8 to each side
F -8+8 =2+8
F = 10
Please help will mark brainliest
Eighteen cyclists were each asked the number of miles they biked last week.
Their responses are given below.
Answer:
(a) The complete frequency distribution is shown below.
(b)The histogram is attached below.
Step-by-step explanation:
The data for the number of miles biked by eighteen cyclists last week is as follows:
7, 21, 12, 4, 5 , 18, 10, 23, 11, 13, 20, 4, 24, 4, 9, 11, 6, 23
(a)
A frequency distribution is to formed for the data with a class width of 6.
The class intervals are provided.
The complete frequency distribution is as follows:
Class Interval Frequency
2 to 7 6
8 to 13 6
14 to 19 1
20 to 25 5
(b)
The histogram is attached below.
what is the solution to 5/6x-1/3>1 1/3
Answer:
Step-by-step explanation:
[tex]\frac{5}{6}x-1>1\frac{1}{3}\\\\\frac{5}{6}x-1>\frac{4}{3}\\\\\frac{5}{6}x>\frac{4}{3}+1\\\\\frac{5}{6}x>\frac{4}{3}+\frac{3}{3}\\\\\frac{5}{6}x>\frac{7}{3}\\\\x>\frac{7}{3}*\frac{6}{5}\\\\x>\frac{7*2}{5}\\x>\frac{14}{5}\\\\x>2\frac{4}{5}[/tex]
Which is the equation of the line with slope 2 that passes through (8,14).
a. y=2x+2
b. y=2x-2
C. y=x-2
d. y=2-2x
Prove that your answer is true.
A two digit number is written at random what is the probability that the number will be odd
Answer:
50%
Step-by-step explanation:
So there are 90 2 digit numbers. There are 45 2 digit odd numbers.
The probability should be 50%
what is the value of x in 2.5(6x-4)=10+(1.5+0.5)
Answer:
x = 22/15
Step-by-step explanation:
2.5(6x-4)=10+(1.5+0.5)
Combine like terms
2.5(6x-4)=10+(2)
2.5(6x-4)=12
Divide each side by 2.5
6x-4 = 4.8
Add 4 to each side
6x = 8.8
Divide by 6
6x/6 = 8.8/6
x = 88/60
x = 22/15
A house on the market was valued at $295,000. After several years, the value increased by 8%. By how much did the house's value increase in dollars? What is the current value of the house?
Answer: $23,600. ; $318,600
Step-by-step explanation:
From the question, we are informed that a house on the market was valued at $295,000 and after several years, the value increased by 8%.
The value of the increase will be 8% of $295,000. This can be mathematically written as:
= 8% of $295,000
= 8/100 × $295,000
= 0.08 × $295,000
= $23,600
The current value of the house will be:
= $295,000 + $23,600
= $318,600
If you randomly select a letter from the phrase "Do not run on Ichiro," what is the probability that you select a vowel? (Your answer must be in the form of a reduced fraction.)
Answer: 7/16
Step-by-step explanation:
Vowels: A, E, I, O, and U.
Number of Vowels in the phrase: "Do not run on Ichiro": 7
Now the total numbers of letters in the Phrase "Do not run on Ichiro": 16
For probability it is selected amount/ total amount
So 7/16, and this fraction is in its most simplified (reduced) form.
If this helped please mark me brainliest
The probability is [tex]7\div 16[/tex]
The calculation is as follows:Vowels: A, E, I, O, and U.
Number of Vowels in the phrase: "Do not run on Ichiro": 7
Now the total numbers of letters in the Phrase "Do not run on Ichiro": 16
So, the probability is the same.
Find out more information about the probability here: https://brainly.com/question/795909?referrer=searchResults
What is the solution to the system of equations? y = –5x + 3 y = 1 (0.4, 1) (0.8, 1) (1, 0.4) (1, 0.8)
Answer:
y = –5x + 3....... 1
y = 1 ..........2
Substitute y = 1 into the first equation
y = –5x + 3
1 = - 5x + 3
-5x = 1-3
- 5x = - 2
Divide both sides by - 2
x = 2/5 or 0.4
x = 0.4 y = 1
The solution to the above system of equations is ( 0.4 , 1)
Hope this helps
Answer:
0.4, 1
Step-by-step explanation:
A, The first one
Carol rolled a dice 150 times she rolled a six 29 times
Use carols data to estimate the probability of rolling a six with this dice
Give your answer as a fraction
Answer:
If Carol rolled a six 29 times in total (out of the 150 dice rolls) then the fraction would be 29/150
Step-by-step explanation: I think
PLEASE HELP!!
According to the graph, what is the value of the constant in the equation below?
Answer:
C. 0.4
Step-by-step explanation:
Hope this helps :3
(feedback is very helpful ^w^)
4/5 of 30 =
2/9 x 45 =
24 x 1/6 =
Answer:
1) 24
2) 10
3) 4
Step-by-step explanation:
can someone lemme borrow their heart i been feeling lonely and i just want to be loved
Answer:
yes, of course.
Step-by-step explanation:
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Yo can someone help me out please?
Answer:
56.52in^3
Step-by-step explanation:
V=πr^2h
V=3.14×3^2×6in/3
V=3.14×9in^2×6in/3
V=3.14×54in^3/3
V=3.14×18in^3
V=56.52in^3
what two numbers are located exactly 3/2 unfits from 1/2 on the number line?
Answer: One of the numbers would be 2, and the other would be -1.
Step-by-step explanation: Looking at a number line, you can move 3 half units in either direction of the original point, in this case being 1/2, to find your answers
Find the fifth term in the geometric
sequence, given the first term and
the common ratio.
a = 2 and r = 3
a5 = [?]
Answer:
162
Step-by-step explanation:
Since the ratio is 3, the terms are 3 times the term before.
So the answer is 2*3^4 = 162
Find the product.
(3x + y) (3x - 3y)
Answer:
[tex]9x^{2} -6xy-3y^{2}[/tex]
Step-by-step explanation:
[tex](3x+y)(3x+-3y)[/tex]
[tex](3x)(3x)+(3x)(-3y)+(y)(3x)+(y)(-3y)[/tex]
[tex]9x^{2} -9xy+3xy-3y^{2}[/tex]
[tex]9x^{2} -6xy-3y^{2}[/tex]
Answer:
9xsq - 6xy -3ysq
Step-by-step explanation:
3x x 3x = 9xsq
3x x -3y= -9xy
y x 3x = 3xy
y x -3y= -3ysq
9xsq -9xy +3xy -3ysq
9xsq -6xy - 3ysq
sq = squared
If Andre made another countryard scale drawing at a scale of 1 to 12, would this drawing be smaller or larger than the first drawing ? Explain your reasoning.
Answer:
smaller
Step-by-step explanation:
If Andre is using a scale of 1:12 then we can safely say that the courtyard drawing will be smaller than his first drawing. This is because this scale means that for every 12 units of measurement on the original the newer version will be 1 unit of measurement. Therefore making the new drawing 12 times smaller than the first one that Andre made.
Which fraction is smallest?
4/35 OR 1/7 ?
Answer:
1/7 is the smallest fraction
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!!!
Answer:
4^15/ b^21
Step-by-step explanation:
( b^7 / 4^5) ^ -3
b^7 ^ -3 / 4^5^-3
We know that x^y^z = x^ (y*z)
b^ (7*-3) / 4^(5*-3)
b ^ -21 / 4 ^ -15
We know that a^ -b = 1/ a^b
We do not like to leave negative exponents
1 * b^21 * 4 ^15
4^15/ b^21
Which of these quadratic expressions is equivalent to
x^2 + 12x +32
A. (2x+8)(x+2)
B. (x+8)(x+4)
C. (x+2)(2x+6)
D. (x+2)(x+6)
Answer:
B. (x+8)(x+4)
Step-by-step explanation:
[tex] {x}^{2} + 12x + 32 \\ = {x}^{2} + 8x + 4x + 32 \\ = x(x + 8) + 4(x + 8) \\ \red { \bold{ = (x + 8)(x + 4) }}[/tex]