Answer:
1,985
Step-by-step explanation:
p = 590(2)^(7/4)
p = 1,985
A new car is purchased for 18,000 dollars. The value of the car depreciates at 11.5% per year. What will the value of the car be, to the nearest cent, after 10 years?
Answer:
Step-by-step explanation:
The exponential decay function is
[tex]v(t)=a(b)^t[/tex] where b, the rate of decay, for us is (1 - .115) and a is the original value of the car which, for us, is 18000. t is the time in years. Using this information to write the equation we need to solve for the value when the car is 10 years old:
[tex]v(t)=18000(.885)^t[/tex] and we sub in 10 for t:
[tex]v(t)=18000(.885)^{10[/tex] which simplifies to
v(t) = 18000(.2947356754) so
v(t) = 5305.24
A music website charges x dollars for individual songs and y dollars for entire albums. Person A pays $5.45 to download 2 individual songs and 3 albums. Person B pays $8.41 to download 5 individual songs and 4 albums. Write a system of linear equations that represents this situation. How much does the website charge to download a song? an entire album?
Answer:
Amount charged for downloading individual songs = x dollars
Amount charged for downloading an entire album = y dollars
In respect to person A:
6x + 2y = 25.92
3x + y = 12.96
y = 12.96 - 3x
In respect to person B:
4x + 3y = 33.93
Putting the value of y from the first equation in the second, we get
4x + 3(12.96 - 3x) = 33.93
4x + 38.88 - 9x = 33.93
- 5x = - 4.95
x = 0.99 dollars
Putting the value of x in the first equation, we get
y = 12.96 - 3x
= 12.96 - 2.97
= 9.99 dollars
Step-by-step explanation:
Consider this function in recursive form.
A1 = -8
An = 3 + an-1
Enter an equivalent equation written in explicit form where n is the term number.
Type your response in simplest form. Do not type any spaces in your response.
an
An = _____
Answer:
Step-by-step explanation:
Io
p(Febuary 31) Calculate the probability of the event
Answer:
You can't find the probibilty of the event because it doesn't exist
Step-by-step explanation:
Helppp plzzzzz pointttttts
Answer:
AD & BE
Step-by-step explanation:
1) AB+BD = AD
2)BC+CE = BE
John is 8 years younger than Ahmad. If the sum of their ages is 38, how old is John?
9-3 additional practice circles in the coordinate plane
Answer:
1. The center is (-5, 6)
The radius is 11
2. The center is (3, -9)
The radius is 6
3. The center of the circle is (-4, -2)
The radius is 3
4. The coordinate of the center of the circle is (2, 2)
The radius of the circle is 4
5. The equation of the circle is (x - 4)² + (y + 3)² = 2²
6. The equation of the circle is (x + 1)² + (x - 10)² = 7²
7. The given point (6, 8) does not lie on the circumference of the circle
8. Yes, the point (√17, 4) lies on the circumference of the circle
9. Please find the attached graph created with the aid of MS Excel
10 Please find the attached graph created with the aid of MS Excel
11. The equation of the circle is (x - a)² + (y - b)² = c²
12. The equation of the circle is x² + y² = 1
Step-by-step explanation:
1. The equation of the circle is (x + 5)² + (y - 6)² = 121
The standard form of the equation of a circle is (x - h)² + (y - k)² = r²
Where;
The center of the circle = (h, k)
The radius of the circle = r
By comparison we have;
h = -5, k = 6, and r = √121 = 11
The center of the circle, (h, k) = (-5, 6)
The radius of the circle, r = 11
2. (x - 3)² + (x + 9)² = 36
Similar to question 1, above, we have by comparison;
h = 3, k = -9, r = √36 = 6
The center of the circle, (h, k) = (3, -9)
The radius of the circle, r = 6
3. From the graph of the circle on the coordinate plane, we have;
The center of the circle = (-4, -2)
The radius of the circle = -1 - (-4) = 3
4. From the graph of the locus of the circle, we have;
The coordinate of the center of the circle, r = (2, 2)
The length of the radius of the circle = The distance from the center to the point (-2, 2)
Therefore, the radius of the circle, r = 2 - (-2) = 4
5. The given radius of the circle, r = 2
The center of the circle, (h, k) = (4, -3)
The equation of a circle in standard form is (x - h)² + (y - k)² = r²
By comparison, we have the equation of the circle given as follows;
(x - 4)² + (y - (-3))² = (x - 4)² + (y + 3)² = 2²
The equation of the circle is (x - 4)² + (y + 3)² = 2²
6. The given radius of the circle, r = 7
The center of the circle, (h, k) = (-1, 10)
The equation of a circle in standard form is (x - h)² + (y - k)² = r²
By comparison, we have the equation of the circle given as follows;
(x - (-1))² + (y - 10)² = (x + 1)² + (y - 10)² = 7²
The equation of the circle is (x + 1)² + (x - 10)² = 7²
7. The given point = (6, 8)
The radius, r = 4
The center of the circle = (3, 5)
The point lies on the circle if the distance. 'd', from the point to the center of the circle = The radius of the circle
∴ d = √((6 - 3)² + (8 - 5)²) = √((3² + 3²) = √(18) = 3·√2
Given that the distance from the point to the center of the circle, d = 3·√2 ≠ 4 = r, the point (6, 8), does not lie on the circumference of the circle
8. The point = (√17, 4)
Radius, r: 9
The center: (0, -4)
The distance from the point to the center of the circle, d = √((√17 - 0)² + (4 - (-4))²) = 9 = r, the radius of the circle
Therefore, given that the distance of the point from the center of the circle = The radius of the circle, the point, (√17, 4), lies on the circumference of the circle
9. The given equation of the circle is (x - 5)² + (y - 1)² = 49
Comparing with the equation of a circle in standard form, we have;
The center of the circle, (h, k) = (5, 1)
The radius of the circle, r = √49 = 7
Please find the attached graph created with the aid of MS Excel
10. The given equation of the circle is x² + (y - 3)² = 25
The center of the circle, (h, k) = (0, 3)
The radius of the circle, r = √25 = 5
Please find the attached graph created with the aid of MS Excel
11. Given that the center of the circle is (a, b) and the radius of the circle is c, the equation of a circle in standard form, (x - h)² + (y - k)² = r², becomes;
(h, k) = (a, b)
r = c
∴ (x - a)² + (y - b)² = c²
12. The diameter of the circle, d = 2 in.
The center of the circle = The origin with coordinates, (0, 0)
Therefore;
The radius of the circle. r = d/2 = 2 in./2 = 1 in.
The center of the circle, (h, k) = (0, 0)
The equation of the circle is therefore;
(x - 0)² + (y - 0)² = 1²
Which gives the equation of the circle as x² + y² = 1.
stuck on this ixl, help me!
Answer:
-1
Step-by-step explanation:
in negative numbers, it goes the opposite of positive numbers
Find the area of the triangle defined by the coordinates (-3,-4), (-7.0), and (-3, 4).
i think D is the answer 16
please help asap find x
Answer:
C
Step-by-step explanation:
Given 2 intersecting chords in a circle, then
The product of the parts of one chord is equal to the product of the parts of the other chord, that is
x × x = 4 × 9
x² = 36 ( take the square root of both sides )
x = [tex]\sqrt{36}[/tex] = 6 → C
If I = “-1” then i2 =
Answer:
-2
Step-by-step explanation:
negative times positive equal negative so
-1×2= -2
Answer:
[tex] \large{ \tt{✺ \: EXPLANATION}} : [/tex]
We're provided - i = -1 & we're asked to find out the value of i².Plug the value of ( i ) in ( i ²) , it would be ( - 1 ² ). Now , You must have known that when the two negative integers are multiplied , the result will be a positive integer i.e ( - 1 ) × ( - 1 ) = 1 .[tex] \large{ \boxed{ \boxed{ \tt{↝OUR \: FINAL \: ANSWER: \boxed{1}}}}}[/tex]
☂ Let me know if you have any questions regarding my answer :)▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Got another question for you lovely folk, don’t understand how to do this one either
Answer:
97.12°
Step-by-step explanation:
the value of the highlight angle =
tan~¹ 1/3 + tan~¹ 5/1 =
18.43° + 78.69° = 97.12°
The surface area of the prism is ______ square units. All measurements in the image below are in units. (Input whole number only.)
Numerical Answers Expected!
Answer for Blank 1:
Answer:
54
Step-by-step explanation:
Surface area of triangular prism = bh + L(s1 + s2 + s3)
Where,
b = 3
h = 4
L = 3.5
s1 = 3
s2 = 4
s3 = 5
Plug in the values into the equation
Area of the triangular prism = 3*4 + 3.5(3 + 4 + 5)
= 12 + 42
= 54 units²
ASAAAPPP PLEASE HELP!!
Answer:
C is correct
Step-by-step explanation:
Just add the exponents leaving you with 2 squared which is 4
Answer:
[tex]a^b*a^c=a^{b+c}[/tex]
[tex]2x^{1/2} *2^{3/2} =2^{1/2+3/2}[/tex][tex]=2^{4/2}[/tex][tex]=2^2[/tex][tex]=4[/tex]-----------------------
hope it helps...
have a great day!!
evaluate the expression 4(n+5)-8 when n =1/4 and m=0.5
Answer:
17
Step-by-step explanation:
Given
4(n + 5) - 8m ← substitute n = 0.25, m = 0.5 into the expression
= 4(0.25 + 5) - 8(0.5)
= 4(5.25) - 4
= 21 - 4
= 17
Is this correct!! Can someone verify!!
Order the numbers −7, 2, −4, 8 from least to greatest
I need help on this
Answer:
it is FH < HI
Step-by-step explanation:
Find the median of 3,4,6,2,2,9,2,10
The answer is 4.75 you just need to add all of the numbers and then divide it to the total sum :)
Carry On Learning (◕ᴗ◕✿)
Chang used a coordinate plane to show where his posters are displayed on his bedroom wall. Three posters are located at E(5, 3), F(–4, 3), and G(–4, 5). Use absolute values of coordinates to find the distances between points E and F, and between points G and F. Enter your answers in the boxes. EF = units GF = units
Answer:
EF = 9
GF = 2
Step-by-step explanation:
For EF, we want to find the distance between their c coordinates, since their y coordinates are the same. We want the distance between -4 and 5, which when you add their distance from 0, is 9.
For GF, they share the same x coordinate, so you're finding the distance between their y coordinates, which are 3 and 5. The distance between the two is 2, so the length of GF is 2.
What are the solutions of the equation x2 + 5x + 6 = 0? A. −3, 2 B. 6, −1 C. 6, 1 D. −3, −2
Answer:
D. -3,-2
Step-by-step explanation:
Let [tex]x^{2} +5x+6=0=(x+2)(x+3)\\[/tex], then [tex]x+2=0[/tex] or [tex]x+3=0[/tex], thus [tex]x=-2[/tex] or [tex]x=-3[/tex]
Help me please , show your work
Drag the ordered pairs to match the points shown on the coordinate grid.
Answer:
A) (3, 6)
B) (2, 3)
C) (4, 2)
D) (6, 0)
Brainliest goes to whoever answers correctly I have other questions if you want more points
Answer:
B, E, F
Step-by-step explanation:
Answer:
B, F
Step-by-step explanation:
A is false; the slope of function Z is 1/4 and the slope of function W is 1/2. 1/2 is greater than 1/4.
B is true. The slope of function Z is less then the slope of function W.
C is false, the y-intercept of function Z is -2 and the y-intercept of function W is -1. They are not the same number.
D is false, the y-intercept of function W is greater than Function Z.
E is false, -3 and -3 are equal
Function W:
y = 1/2x - 1
y = 1/2(-4) - 1
y = -4/2 = -2
y = -2 - 1
y = -3
Function Z:
y = 1/4x - 2
y = 1/4(-4) - 2
y = -1 - 2
y = -3
F is true, if y = -4 for functions W and, they would both be equal.
. For the function y= -5x2 - 10x + c, the vertex is (-1,8). What is c? F. -13 G. -3 - J. 13 H. 3
Answer:
c=3
Step-by-step explanation:
8=-5(-1)^2-10(-1)+c
8=5+c
c=3
Use the slope formula to find the missing coordinate.
m = -7/2 , T(13, 2), W(_, -5)
-11
15
11
15
Answer:
Solution given;
m = -7/2 , T(13, 2), W(_x, -5)
m=(y2-y1)/(x2-x1)
-7/2=(-5-2)/(x-13)
-7/2=-7/(x-13)
doing crisscrossed multiplication
x-13=2
x=2+13
x=15
Answer:
the answer is 15
Step-by-step explanation:
correct me if I'm wrong thanks
12) To make 84 tiny pancakes I need 3 /2 cups of mix, and 14 cups of water.
How much mix and water are needed to make 1 dozen tiny pancakes? Write
your answer in ratio format e.g., 0.75 : 1.5*
Answer:
1 dozen=12. 84/12=7. You answer SHOULD be 7:1 but I haven't done ratios in a while so don't quote me on it.
Step-by-step explanation:
Marian asked 25 students the following questions in a survey.
1. Are you male or female?
2. Do you wear glasses?
Marian's results are shown below.
There were a total of 15 female students who were surveyed.
• There were 17 students who wear glasses.
Answer:
Step-by-step explanation:
Solve the equation
3/4x+3-2x= -1/4+1/2x+5
Please help I have tried everything and I haven’t gotten the right answer and it won’t let me move on
Question Progress
Homework Progress
31/ 127 Marks
There are between 24 and 40 students in a
class.
The ratio of boys to girls is 4:7
How many students are in the class?
Answer:
Step-by-step explanation:
The ratio of boys is 4/11
You need a number that is divisible by 11.
11 represents the number of students in the class. That was obtained by adding 4 and 7 together. So there are 4/11 boys and 7/11 girls.
You could try 33 which is between 24 and 40
4/11 * 33 = 12
There are twelve boys in the class.
7/11 * 33 = 21
There are 21 girls in the class.
21 + 12 = 33 which is exactly what you need.