If the price of the car is $22,500 in 2000. Then the value of the car in 2011 with a decay of 5% every year is $12,798.
What is an exponent?Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.
A car was purchased in 2000 for $22,500.
It has depreciated at a rate of 5% per year.
Then the price of the car in 2011 will be
The decay function is modeled as
[tex]\rm A = P(1-r)^t[/tex]
The number of years has been passed is 11.
Then we have
[tex]\rm A = 22,500(1-0.05)^{11}\\\\A = \$ \ 12798[/tex]
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Find the surface area of the prism. Picture attached.
Answer:
18.2m^2
Step-by-step explanation:
2 x 1 ÷ 2 = 1 both sides are set to 1
base 3 x 1 = 3
2.2 x 3 = 6.6
add up all sides 6.6 + 6.6 + 3 + 1 + 1
The price of petrol goes up 10%, by how much percent must a motorist reduce the consumption of petrol so that the expenditure on it remains unchanged ?
[tex]\large{\sf \boxed{ \sf 9.09 \ \%}}[/tex]
Explanation:
Let the price be p,
When the price is increased by 10%,
Increased price = (100% + 10%) × p = 1.1p
So reduction percentage:
[tex]\rightarrow \sf \dfrac{1.1p - p}{1.1p} \ x \ 100[/tex]
[tex]\rightarrow \sf \dfrac{0.1p}{1.1p} \ x \ 100[/tex]
[tex]\rightarrow \sf 9.090909091 \% \quad \approx \quad 9.09 \% \quad (rounded \ to \ nearest \ hundredth)[/tex]
** 20 POINTS!!!**
Identify the vertex of the function graphed below (-4,1) (1,0) (-3,0) (-1,-4)
Answer: (-1,-4)
Step-by-step explanation:
move one unit left, and 4 units down. The vertex is the lowest or highest point on the graph (in this case the lowest)
what is 5 times 3 divided by 10 times 2 minus 3
Answer:
The answer is 0
Step-by-step explanation:
5x3 is 15
Therefore it is concluded as:
15÷10x2-3 is 0
help i need a answer fast
Answer: It is Equation 1 and Equation 3
Step-by-step explanation:
how many 1/2 cup servings are in 9 cups of cereal?
Answer:
18
Step-by-step explanation:
9 divided by 1/2 is the same as 9 multiplied by 2, which equals 18
What is the solution to 3+4e ^x+1 =11
Answer:
The solution would be x=1n(7/4)
Step-by-step explanation:
The decimal form would be 0.55961578
Answer:
= In (7/4)
Step-by-step explanation:
3+4+1=11
4+4=11
4+4=11
4+4=11
4+4=11
4+4−4=11−4
4=7
44=7
a team of 15 workers cad do a job in 7 hours. How long would this work take if the team has 35 people?
Answer:
3 hours
Step-by-step explanation:
15 workers * 7 hours = 105 worker hours
105 worker hours / 35 workers = 3 hours
40.
Two similar squares have matching sides whose lengths are in the ratio 7:5 Find the ratio of their areas.
Answer:
49:25
Step-by-step explanation:
When you have a side length ratio given, the area ratio will be the side length ratio squared.
This can be thought of quite easily, say you have 1 square with a side length of 7 and another square with a sidelength 5.
Of course the squares have a side length ratio of 7:5
The area of the first square is 7*7 = 49
The area of the second square is 5*5 = 25
Then clearly the ratio of the areas is 49:25
Select all of the points that lie on the circle with equation?
The easiest way to determine whether the point is on the circle:
⇒ plugging the values into the equation
⇒ then see if the equation holds true
⇒ meaning that the point is on the line
(3,-7)[tex](3-3)^2+(-7+2)^2=25\\(-5)^2=25\\25=25[/tex]<== true
(8,-2)[tex](8-3)^2+(-2+2)^2=25\\5^2=25\\25=25[/tex]<== true
(3,-3)[tex](3-3)^2+(-3+2)^2=25\\(-1)^2=25\\1=25[/tex]<== false
(3,3)[tex](3-3)^2+(3+2)^2=25\\5^2=25\\25=25[/tex]<== true
(-2,8)[tex](-2-3)^2+(8+2)^2=25\\(-5)^2+10^2\\25+100=25\\125=25[/tex]<== false
Answer: (3,-7), (8,-2), (3,3)
Hope that helps!
the north american plate and the pacific plate have been sliding horizontally past each other along the san andreas fault line for about 10 million years. the plate move 5 cm/y. How far have the plates traveled assuming a constant rate during this time
Answer:
50 million
Step-by-step explanation:
since they're moving at a constant rate, all you need to do is multiply 5 by 10 million
Arătati ca numărul ab1 + a1b + 1ab
Answer:
a plus b equals 9923
Step-by-step explanation:
please answer this question
Answer:
-1/2arctan(x) - 1/4ln|x + 1| + 1/4ln|x - 1| + C
Step-by-step explanation:
The marked price of a pair of pants is $100. If VAT of 15% is payable, then the price paid by the customer is
Answer:
$115
Step-by-step explanation:
VAT = 15% of marked price
= 0.15 * 100
= $ 15
Price paid by the customer = 100 + 15
= $ 115
easy and also crown if right.
Answer:
- 8n + 9Step-by-step explanation:
Given
A = -3n + 2B = 5n - 7Find A - B by substitution
A - B = - 3n + 2 - (5n - 7) = - 3n + 2 - 5n + 7 = - 8n + 9how write 632.745 word form
A truck driver drove 49 miles in 1 1/3 hours. What was the average speed, in miles per hour, for this trip?
Answer:
B. [tex]36\frac{3}{4}\ mph[/tex]
Step-by-step explanation:
The formula for average speed:
[tex]S_{average} = \frac{distance}{time}\\\\S = \frac{49\ miles}{1\frac{1}{3}\ hours}\\\\S = 36.75 = 36\frac{3}{4}\ mph[/tex]
Which point on the scatter plot is an outlier?
A graph shows scale on x axis from 0 to 14 at increments of 2 and a scale on y axis from 0 to 70 at increments of 10. Dots are made at ordered pairs 0, 0 and 1.8, 5 and 2.5, 8 and 2.9, 11 and 3.7, 15 and 4.1, 13 and 4.2, 21 and 5.5, 18 and 5.4, 29 and 6.1, 25 and 6, 30 and 7, 31 and 7.8, 39 and 7.3, 42 and 8.2, 45 and 9, 50. The point 9, 50 is labeled as P, the point 8, 30 is labeled as Q, the point 10, 10 is labeled as R, and the point 0, 0 is labeled as S.
Point P
Point Q
Point R
Point S
Answer:
The point 9,50
Step-by-step explanation:
All the other ones are within a reasonable distance of each other.
Answer: The correct answer would be 9,50 or Option A (Point P)
Step-by-step explanation:
The distance between (12,5)and(-7,5)
Step-by-step explanation:
361 is the answer.
hope it helps
NO LINKS!!! Please help me with this graph. Part 4a
Answer:
[tex]\large{\boxed{\sf g(x) = \dfrac{1}{2} |x - 4| +7}}[/tex]
Explanation:
Absolute value of a graph formula:
y = a |x -h| + kIdentify the vertex : (h, k) = (4, 7)
Take two points: (4, 7), (6, 8)
[tex]\sf Find \ slope \ (a) : \sf \ \dfrac{y_2 - y_1}{x_2- x_1} \ = \ \dfrac{8-7}{6-4} \ = \dfrac{1}{2}[/tex]
Putting them together : [tex]\bf g(x) = \dfrac{1}{2} |x - 4| +7[/tex]
Answer:
[tex]g(x)=\dfrac{1}{2}|x-4|+7[/tex]
Step-by-step explanation:
Translations
For [tex]a > 0[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis by a factor of}\:a[/tex]
-----------------------------------------------------------------------------------------
Parent function: [tex]f(x)=|x|[/tex]
(with vertex at the origin)
From inspection of the graph, the vertex of the transformed function is at (4, 7). Therefore, there has been a translation of:
4 units right7 units up[tex]\implies f(x-4)+7=|x-4|+7[/tex]
From inspection of the graph, we can see that it has been stretched parallel to the y-axis:
[tex]\implies a\:f(x-4)+7=a|x-4|+7[/tex]
The line goes through point (0, 9)
Substituting this point into the above equation to find [tex]a[/tex]:
[tex]\implies a|0-4|+7=9[/tex]
[tex]\implies 4a=2[/tex]
[tex]\implies a= \dfrac{1}{2}[/tex]
Therefore,
[tex]\implies g(x)=\dfrac{1}{2}|x-4|+7[/tex]
The sum of three consecutive even integers is 126. Find the integers.
Step-by-step explanation:
x+ x+1+ x+2=126
3x+3=126
3x=126-3
3x=123
divide each side by 3
x=41
x+1=42
x+2=43
check your answer by adding the three integers:
41+42+43=126
Answer:
40, 42 and 44Step-by-step explanation:
An Integer is even, if it's divisible by two. it's also a multiple of two.let first integer= Y note : Y is an even number.
second integer= (Y+2)
third integer = (Y+4)
from the question,
Y+Y+2+Y+4= 126
3Y+6 = 126
3Y = 126-6
3Y = 120
dividingbothsides by (3)
3Y/3 = 120/3
Y= 40
therefore, the even integers are:
40
(Y+2)= 40+2= 42
(Y+4) =40+4= 44
check!!!adding the three numbers40+42+44= 1265,039 times 8=
I rlly need help
Integrate 4√x^5 directly
Step-by-step explanation:
firstly we take the constant out of the integral making it
4 × the integral of x^5/2
the integral of x^5/2 is equal to 2/7(x^7/2)
final answer: (8/7) × (x^7/2)
make sure to comment if you have any doubt.
Solve this equation please
Given
m
∥
n
m∥n, find the value of x and y.
If m is parallel to n then value of x and y is X = 41° and Y = 41°.
What are Angles?An angle is formed when two straight lines or rays meet at a common endpoint.
Given that line m and n are parallel lines.
Parallel lines are those straight lines that are always the same distance apart from each other.
As y is vertically opposite to the angle 41° . So the value of y is also 41° and angle x is equal to angle y because they are alternate angles. So the value of y is also 41°.
Therefore X = 41° and Y = 41°.
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describe how you would find the missing numbers in the equation below. What is the missing numerator and denominator?
the fractions : 3/? x ?/4 =9/20
Please help this is the last question on my exam and I'll help out a ton!
Answer:
3/5 and 3/4 im pretty sure
Step-by-step explanation:
you have to find the multiple that would make it equal the answer
The image shows a circle centered at point O angle AOB Measures at 42 degrees.
What is the Measure of the angle acb explain your reasoning
Answer:
∠ ACB = 21°
Step-by-step explanation:
the inscribed angle ACB is half the central angle AOB , subtended by the same arc AB , then
∠ ACB = [tex]\frac{1}{2}[/tex] ∠ AOB = [tex]\frac{1}{2}[/tex] × 42° = 21°
when you multiply a negative by a positive what is the outcome?
it would be negative because negetive overcomes positive.
Answer:
The outcome is a negative because when doing multiplication of negative times positive your answer will always be a negative. For an example, -4*9= -36 so it would be negative.
Can any one please help me under this? I need to know which option indicates that 3 goes after 5and between 7,12and 5 then how that goes before 12 and between7 and 3. I’ve been reading this forever and I don’t understand her wording. Help please! Ayuda porfavor!
"3 va después de 5 y entre 7 y 12" = "3 goes after 5, and between 7 and 12"
This eliminates A and D (3 is not between 7 and 12 in either choice).
"5 va antes de 12 y entre 7 y 3" = "5 goes after 12, and between 7 and 3"
This eliminates C (5 is not between 7 and 3).
So the correct sequence is B.
The perimeter of a rectangle is 30 inches. It’s area is 44 square inches. Find its length and width.
Answer:
length 11 width 4
Step-by-step explanation:
perimeter:
11+11=22
4+4=8
22+8=30
area:
11*4=44
