The value of cement mixer after t year is [tex]f(t) = 54,205(0. 87)^{t}[/tex]
Given to us
The value of cement mixer when bought, [tex]P[/tex]= $ 54,205
the value of cement mixer after 1 year, [tex]P_1[/tex]= $ 47,158. 35
the value of cement mixer after 2 year,[tex]P_2[/tex]= $ 41,027. 76
To find out depreciation we can use the formula for depreciation,
[tex]P_n= P(1-r)^n\\where,\\P_n= Value\ of\ asset\ after\ n\ year\\P= Value\ of\ asset\ when\ bought\\r= rate\ of\ depreciation\\n= number\ of\ years[/tex]
By putting the value, in the formula we get,
[tex]P_1= P(1-r)^n\\\\47,158.35= 54,205\times (1-r)^1\\\\\dfrac{47,158.35}{54,205} = (1-r)\\\\0.87=1-r\\\\r=0.13[/tex]
Therefore, putting the value of [tex]r[/tex] and [tex]P[/tex] in depreciation formula for [tex]t[/tex] years we get,
[tex]P_n= P(1-r)^n[/tex]
[tex]f(t) = 54,205(0. 87)^{t}[/tex]
Hence, the value of cement mixer after t year is [tex]f(t) = 54,205(0. 87)^{t}[/tex].
To know more visit:
https://brainly.com/question/3023490
a:b=2:5 b:d=4:3 c:d=4:5 a:e=1:3 a+b+c+d+e=792 a=? b=? c=? d=? e=?
explain how did u do it please
Answer:
a is 2 b is 5 ď is 3 e is 5 and that is it this is not the correct awns
What is 2,200 yards in miles? Round to the nearest tenth of a mile.
Answer:
1.25 mi
Step-by-step explanation:
First, we want to convert a yard into feet; recall 1 yard = 3 feet.
Then we want to divide that by the number of feet in a mile 1 mile = 5280feet.
So 2200*3 =6600, then divide by 5280
6600/5280 = 1.25 mi
2200 yard is 1.25 miles
There are 1.3 miles in 2,200 yards.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Examples:
1 hour = 60 minutes
1 minute = 60 seconds
1 km = 1000 m
We have,
2,200 yards ____(1)
1 mile = 1760 yards _____(2)
Now,
From (1) and (2),
1 mile = 1760 yards
Multiply 2,200/1760 on both sides.
2,200/1760 x 1 mile = 2,200/1760 x 1760 yards
1.25 miles = 2,200 yards
Rounding to the nearest tenths.
1.3 miles = 2,200 yards
Thus,
There are 1.3 miles in 2,200 yards.
Learn more about unit conversion here:
https://brainly.com/question/13899873
#SPJ5
Which ratio is equivalent to the rate
8 meters
1 second
?
The ratio as a unit rate is 0.8 meters per second.
What is a Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
The given statement is "8 meters in 10 seconds".
It can be written as:
= 8/10 meters per second
= 0.8 meters per second
Thus, the ratio as a unit rate is 0.8 meters per second.
learn more about ratio here:
brainly.com/question/13419413
#SPJ2
The Question attached here seems to be incomplete, the complete Question is
Write the ratio as a unit rate. 8 meters in 10 seconds.
A. 0.8 meters per second
B. 1.125 meters per second
C. 2 meters per second
D. 80 meters per second
What is the term that describes how a cell must maintain a stable environment? (in: regulating temperature)
Answer:
homeostasis
Step-by-step explanation:
Homeostasis refers to the body's ability to maintain a stable internal environment (regulating hormones, body temp., water balance, etc.).
Answer:
Homeostasis is the ability to maintain a relatively stable internal state that persists despite changes in the world outside. All living organisms, from plants to puppies to people, must regulate their internal environment to process energy and ultimately survive.
The maintenance of stable, constant, internal conditions is called homeostasis. ... Like the walls of a house, cell membranes protect the inside of cells and maintain homeostasis through molecular transport. Controlling how much of which molecules enter or leave a cell allows cells to function properly.
Step-by-step explanation:
Don’t understand this one, hoping for help
Complete the problems below. Be sure to show your work! 11. A movie is being shown on television. The movie is scheduled for a 150 minute time lot and will include some commercial breaks. The number of commercial breaks can be determined by the equation 6x + 114 = 150, where x represents the number of commercial breaks.
A. Identify the meaning of the coefficient and the constant in the context of this situation.
B. Solve to find the number of commercial breaks.
C. Graph the solution.
Answer:
b
Step-by-step explanation:
7/8 minus1/4 minus 1/2
7/8 minus1/4 minus 1/2
7/8 - 1/4 - 1/2 =
(1 × 7)/(1 × 8) - (2 × 1)/(2 × 4) - (4 × 1)/(4 × 2) =
7/8 - 2/8 - 4/8 =
(7 - 2 - 4)/8 =
1/8
the answer is 1/8
What is the slope of the line?
Answer:
(1,1)
Step-by-step explanation:
what is the slope of the line through (0, 1) and (-1, -3)
Answer:
A. 4
General Formulas and Concepts:
Pre-Algebra
Evaluations
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Reading a coordinate planeCoordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Step-by-step explanation:
Step 1: Define
Identify points.
Point (0, 1)
Point (-1, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{-3 - 1}{-1 - 0}[/tex][Order of Operations] Evaluate: [tex]\displaystyle m = \frac{-4}{-1}[/tex]Simplify: [tex]\displaystyle m = 4[/tex]Answer:
The answer is A. 4
Step-by-step explanation:
Step 1: DefineIdentify points.
Point (0, 1)
Point (-1, -3)
Step 2: Find slope mSimply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in points [Slope Formula]:[tex]\displaystyle m = \frac{-3 - 1}{-1 - 0}m=−1−0−3−1[/tex]
[Order of Operations] Evaluate:[tex]\displaystyle m = \frac{-4}{-1}m=−1−4[/tex]
Simplify: [tex]\displaystyle m = 4m=4[/tex]thank you in advance to whoever answers !!!!
Answer:
answer c would be correct because the model both moved and rotated.
3. A car travels 65 miles in one hour. How many miles would the car travel in / an hour?
HELP ASAP
Answer:
A good way to know how to solve a problem like this is to look at the units. Here we have miles per hour (65 miles/hour) and hours (5 hours) and we want to find X miles. So take a look at the units:
(Miles/hour) * (hours) = miles
So we can just plug in the values…
65 * 5 = 325
Whenever I get confused by a question like this I always try to remember that the word "per" just means divided by. So mph = miles/hour. And from there the algebra is pretty simple.
Another tip, your physics professor will always be tickled if at the end of your answer you list some of the assumptions you made like this: "assuming the car is traveling at a perfectly constant rate without stopping."
Answer:
65
Step-by-step explanation:
If a car drives 65 miles in an hour, they would travel 65 miles in one hour. The equation for this would be 65x, with x representing the number of hours driven.
Part E
While diving, Winston stopped at a point located halfway between his deepest dive and the ocean’s surface. At what elevation was Winston when he stopped halfway? PLzzzzzz HURRRY UUUPPP Ill give whoever answers this RIGHT NOW 100pts, no joke
Answer:
im pretty sure that the answer is -50.5 feet.
Step-by-step explanation:
Find the 12th term of the geometric sequence 5,–25, 125, ...
Answer:
244140625
5¹²
it is a sequence of numbers in which each term is obtained by multiplying the preceding term by a constant. In other words, the ratio between a term and its preceding term is constant. And that constant is common ratio. Therefore, 12th term is 244140625.
Asha bought 60 fruit baskets. 25% of the fruit baskets have 12 pieces of fruit in each basket. The remaining 75% of the baskets have 15 pieces of fruits in each basket. Complete the model.
Answer:
Number of baskets with 12 pieces of fruit: 15
Number of baskets with 15 pieces of fruit: 45
Step-by-step explanation:
25% x 60 = 0.25 x 60 = 15
75% x 60 = 0.75 x 60 = 45
The complete model for the given question is;
Number of fruit baskets that contain 12 fruits = 15 baskets
Number of fruit baskets that contain 15 fruits = 45 baskets
We are told that he bought 60 fruit baskets.
Percentage of the fruit baskets that have 12 pieces of fruit = 25%
Percentage of the fruit baskets that have 15 pieces of fruit = 75%
Thus;
Number of fruit baskets that contain 12 pieces of fruit = 25% × 60 = 15 baskets
Number of fruit baskets that contain 15 pieces of fruit = 75% × 60 = 45 baskets
Read more about percentages at; https://brainly.com/question/11865045
What is the square root of 12a^3b^5 times the square root of 6ab^2?
Step-by-step explanation:
sqrt(12×a³b⁵) × sqrt(6×ab²)
the content of multiplied square roots can be combined into one square root :
sqrt(12×6×a³×a×b⁵×b²) = sqrt( 72a⁴b⁷) =
= sqrt(4×9×2 × a⁴ ×b⁶×b) = 2×3×a²×b³×sqrt(2b) =
= 6a²b³×sqrt(2b)
2
10) Ronnie charged his Customers a llat fee or $25 to fix computers. Then he charged $20 for each hour
fixing the computer. ir Ronnie made $175 ofr of his first customer, how many hours did he spend working?
thworkabeets.com
Answer:
7.5 hours
Step-by-step explanation:
y=mx+b, where y is cost and x is hours.
175 = 20x + 25
150 = 20x
7.5 = x
He worked 7.5 hours
Geometry - Isosceles & Equilateral triangles
Solve for x *
Answer:
7
Step-by-step explanation:
all sides in equilateral triangle are equal so side to the bottom is 56ft
base sides same in isosceles triangle so 56 = 8x
8x=56
56/8 is 7
A taxicab charges $3.00 per person
plus $1.25 per mile. What is the
greatest distance one passenger
could travel with a budget of
$28.00?
Answer:
I believe the answer would be 20 miles max for one passenger.
Step-by-step explanation:
This is because if you create an equation out of this, knowing that only one passenger will be riding, you will get:
$3.00+$1.25x=$28 ($3 added too $1.25 times the number of miles (x) which equals the total amount you have ($28)).
x being the number of miles (so we need to calculate for x)
$3 + $1.25x = $28
-subtract 3 on both sides-
$1.25x=$28-$3
$1.25x=$25
-divide by 1.25 on both sides-
x=$25/$1.25
x=20 miles
Not sure if all calculations are correct, but I hope this helps :)!
Which set of ordered pairs represents a constant rate of change?
A) (0,1) (1,2) (2,4) (3,6)
B) (0, 1) (1.2) (2,2) (3,2)
C) (0, 2) (1,4) (2,6) (3, 8)
D) (0, 2) (1,2) (2, 4) (3,8)
Answer:
Not a because it is only consistant with x not y because it goes 1 2 4 then 6
not b because only consistant with x not y because it goes 1 2 2 2
It is c because it goes 2 4 6 and 8 which is a consistent rate of two.
Step-by-step explanation:
Find the slope of the line.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope of the line is
(Simplify your answer. Type an integer or a fraction.)
OB. The slope is undefined.
Answer:
sorry
for this answer
Labor unions arose in the nineteenth century as increasing numbers of Americans took jobs in factories, mines, and mills in the growing industrial economy.
The Knights of Labor, founded in 1869, was the first major labor organization in the United States. The Knights organized unskilled and skilled workers, campaigned for an eight hour workday, and aspired to form a cooperative society in which laborers owned the industries in which they worked.
The Knights’ membership collapsed following the 1886 Haymarket Square riot in Chicago. By 1886 the American Federation of Labor (AFL), an alliance of skilled workers’ trade unions, was growing.
Which statement is true about the function shown in the graph?
[tex]f(x) = 2 \sqrt{x + 4} [/tex]
A. The function is strictly increasing.
B. The function is strictly decreasing.
C. The function is increasing and decreasing.
D. The function is constant.
Answer:
Function is slightly increasing
Step-by-step explanation:
PLATO
what is 44÷33= please for answer
Step-by-step explanation:
44 ÷ 33
= 1.333333333..........
Hope it's helpful.
In a company,55% of the workers are men. If 2,250 people work for the company who aren't men, how many. Workers are there in all?
Step-by-step explanation:
female workers:2250
% female workers:?
First, find the percentage of workers who aren't men since we are told the number of workers who aren't men
100-55=45
Therefore 45% of workers aren't men
Let the total number of workers =x
Now form an equation for the problem
[tex]x \times \frac{45}{100} = 2250[/tex]
[tex]x = 2250 \div \frac{45}{100} [/tex]
[tex]x = 5000[/tex]
Therefore, there are 5000 workers in total
The average 8- to 18-year-old spends____ per day on average in front of a screen doing very little to
no physical activity.
A. O hours
B 30 minutes
0. 1 hour
D 3 hours or more
Please select the best answer from the choices provided.
Answer:
3 hours or more
Step-by-step explanation:
why because of the games and entertainment
A plumber charges a $25 flat rate. If he works for 6 hours, how much does he charge per hour if the total is $67?
Answer:7
Step-by-step explanation:(67-25) divided by 6
mark as brainliest
Subtract the flat rate from the total first:
67-25 = 42
Now divide that by total hours:
42/6 = 7
Answer: $7 per hour
What is the graph for y = { x + 1?
y 1 2 1?
a)
b)
c)
d)
Enter
Answer:
The graph for y = (1/2)x + 1 is C.
Step-by-step explanation:
y = (1/2)x + 1
This line has a slope of 1/2. That is a positive line, so option A is incorrect. It also has a y-intercept of 1. The value of y when x is zero is 1. There are two graphs in which the line intersects (0,1): A and C. But A has already been rejected, so it must by Graph C:
Double check this to see if the slope is 1/2. Does y increase by 1/2 for every step of 1 on x? Graph C:
x y
-2 0
-1 1/2
0 1
+1 1 1/2
+2 2
Yes: Y increases by (1/2) for every x increase of 1.
The graph for y = (1/2)x + 1 is C.
Help help help help math math
Answer:
48 ft 2
Step-by-step explanation:
The radius is 4 ft because it is half of the diameter.
3 * 4^2 = 3 * 16 = 48
who is piplup ???????? ~
compare 8/11 to 3/5
PLEASE HELP !!!
Rewrite both fractions with a common denominator:
8/11 x 5 = 40/55
3/5 x 11 = 33/55
40/55 is greater than 33/55 so 8/11 is greater than 3/5
Find the equation of this line.