A bicycle is worth 500 dollars , decreases in value by 7.8% per year.Set up a function to model this situation.Use the model to show how much the bike will be worth after 5 years.
Answer:
$333.138
Step-by-step explanation:
Given that:
Initial value = $500
% decrease in value per year = 7.8% = 0.078
Price after t years is given by :
P(t) = initial value(1 - 0.078)^t
Where, t = number of years
Price after 5 years :
t = 5
P(5) = 500(1 - 0.078)^5
P(5) = 500(0.922)^5
P(5) = 500 *0.666276668105632
P(5) = 333.138334052816
= $333.138
Reflect the figure over the line y= -x -2
pls help no tutors know the answer!!
Answer: You'll have a quadrilateral with the following points
(5, -5)(4, -7)(6, -7)(8, -3)A diagram is posted below.
===================================================
Explanation:
The given quadrilateral has four unmarked points. I'll add the point labels A,B,C,D such that
A = (-3, 3)B = (-5, 2)C = (-5, 4)D = (-1, 6)I started at the lower right corner and worked my way clockwise.
----------------
Let's shift the line y = x-2 up two units so that it moves to y = x
We'll need to shift every point of the quadrilateral up two units as well.
So we have these new point locations after the shifting has occurred.
A' = (-3, 5)B' = (-5, 4)C' = (-5, 6)D' = (-1, 8)----------------
Now we need to reflect over the diagonal line. The rule to reflect over the line y = x is as simple as swapping the x and y coordinates.
So we can say [tex](x,y) \to (y,x)[/tex]
A point like (-3, 5) moves to (5, -3)
We have these new locations
A'' = (5, -3)B'' = (4, -5)C'' = (6, -5)D'' = (8, -1)----------------
The last thing to do is to shift everything down 2 units. This is to undo the first step we did when we shifted everything up by 2 units.
Doing this leads to these locations
A''' = (5, -5)B''' = (4, -7)C''' = (6, -7)D''' = (8, -3)Check out the diagram below.
Please help I’ve been stuck on this question for the longest
Answer:
7 in., 9 in., 5 in.
Step-by-step explanation:
6+2>9 = incorrect
9+7>16 = incorrect
2+7>9 = incorrect
7+5>9 = correct
7+9>5 = correct
9+5>7 = correct
Basically two side lengths added together should be more than the number left out.
I hope this helps!
- The length of Christina's table is the product of 4 and X. The width of her table is 2 less
than twice the length. What is the perimeter of her table?
Answer:
24x - 4
Step-by-step explanation:
Perimeter of a table = 2(length + width)
length of Christina's table is the product of 4 and X
Length = 4x
The width of her table is 2 less
than twice the length.
Width = 2(4x) - 2
= 8x - 2
Perimeter of a table = 2(length + width)
= 2{4x + (8x - 2)}
= 2(4x + 8x - 2)
= 2(12x - 2)
= 24x - 4
Perimeter of a table = 24x - 4
Brandon has a total of $3.28 consisting of an equal number of pennies nickels dimes and quarters.How many coins does he have in all? What strategy would be best to solve this problem
9514 1404 393
Answer:
32 coins
consider the value of a group of coins
Step-by-step explanation:
The coins are in equal numbers, so they can be considered as a group. The value of one group of 4 coins is ...
1¢ + 5¢ + 10¢ + 25¢ = 41¢ = $0.41
Then the number of groups (g) of coins is ...
$3.28 = $0.41×g
g = $3.28/$0.41 = 8
There are 8 groups of coins. Each group has 4 coins, so there are ...
(8 groups)×(4 coins/group) = 32 coins
Please be quick
Show that x^2+5x=3
[tex]\frac{-5 + \sqrt{37} }{2}[/tex]
Note:Have no clue if its right
Answer:
see explanation
Step-by-step explanation:
The area (A) of the rectangle = length × breadth, that is
A = BC × CA
= (x + 3)(x + 2) ← expand using FOIL
= x² + 5x + 6
Given that A = 9 , then
x² + 5x + 6 = 9 ( subtract 6 from both sides )
x² + 5x = 3 ← as required
What is the simplified form of the following expression??
Answer:
[tex]2x^{2}[/tex]
Step-by-step explanation:
Hope that helps!!!
-scsb17hm
4. Communicate Precisely When you graph a quadratic function, the
y-intercept appears to be 1, and the x-intercepts appear to be -4 and 2.5.
Which values represent the solution(s) to the related equation of the
function? How can you check? Explain
Answer:
solo respondo esto por los puntos
Four silos with circular bases are shown in the image with a diameter of 20 feet. What is the area of one of the bases?
A. 1256 sq. ft.
B. 125.6 sq. ft.
C. 314 sq. ft.
D. 62,8 sq. ft.
Look up "Everything You Need To Know About Math In One Big Fat Notebook pdf." It's the best thing I've ever been given, I have it with me in math class all the time and I've aced every test.
Which value is a solution for the equation tan x/2 = -1?
A. 5pi/4
B. 7pi/4
C. 3pi/4
D. 3pi/2
Answer:
D
Step-by-step explanation:
What we have to do is to find the arc tan
x/2 = arc tan (-1)
tan is negative on the 4th and second quadrant
arc tan (-1) = 135 or 315
pi is 180 degrees
so we have;
135 is 3 pi/4
multiplied by the 2
= 6 pi/4 which is 3 pi/2
315 is 7 pi/4 which is same as 7 pi/2 when we multiply by 2
Answer:
the answer is d
Let f(x)=√x^2 - 64. Evaluate the function f(-x). What conclusion can be made?
a.) The function is an odd function.
b.) The function is both an even and an odd function.
c.) The function is an even function.
d.) The function is neither an even nor an odd function.
9514 1404 393
Answer:
c.) The function is an even function.
Step-by-step explanation:
Either way you interpret the given function, you have ...
f(-x) = √(-x)^2 -64 = √x^2 -64
f(-x) = f(x) . . . . the function is an even function (only)
What is the value of the expression 10 − ( fraction 1 over 2 )4 ⋅ 48? (1 point)
Answer:
Just want to ask if it is 10 - 1/2 × 4 × 48 right? If the expression is this then the answer is -86.
Hope this helps, thank :) !!
I will mark you the brainliest help plesdd
how much more does the great dane weigh than the chihuahua
Answer:
the great dane is 59kg and the chihuahua is 1329 g so it would be 57.67100 kg. jp idfk
Step-by-step explanation:
3 3/7x1/3 yeah pls help
Answer:
Step-by-step explanation:Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x1" was replaced by "x^1".
STEP
1
:
x
Simplify —
3
Equation at the end of step
1
:
33 x
—— • —
7 3
STEP
2
:
33
Simplify ——
7
Equation at the end of step
2
:
33 x
—— • —
7 3
STEP
3
:
Final result :
11x
———
7
1. Clare is cycling at a speed of 12 miles per hour. If she starts at a position chosen as zero, what will her position be after 45 minutes?
2. Han is cycling at a speed of -8 miles per hour; if he starts at the same zero point, what will his position be after 45 minutes?
3. What will the distance between them be after 45 minutes?
h el p I really need it
Answer:
Clare will be at 9 miles an hour
Step-by-step explanation:
Simplify: -5(3c-9) – 9c – 7c2 +5
What’s the answer?
Answer:
ANSWER: [tex]-7c^{2} -24c+50[/tex]
Step-by-step explanation:
9
2. What value of x makes the equation
3
113
=
true?
Answer:
i don't understand what your asking, but i hope this helps
Step-by-step explanation:
the process of ascertaining the variable value that makes the equation true is called 'solving' the equation. An equation is a verbalization that two quantities are equipollent. For exp/example:. x + 1 = 4 betoken that when we integrate 1 to the unknown value, 'x', the answer is equipollent to 4
1.
Last year, the ratio of literate and illiterate people of Rashkundu Village was
4:1. If the population of the village is 6550, let's find the numbers of literate
and illiterate people.
Step-by-step explanation:
Let the literate and illiterate people of Rashkundu Village be 4x and x respectively then 4x + x = 65505x = 6550x = 6550 / 5x = 1310Therefore no. of literate people = 4 * 1310 = 5240no. of illiterate people = 1310 Hope it will help :)Answer:
5,240 literate
1310 illiterate
Step-by-step explanation:
-ratio of literate : illiterate is 1:4
-add the numbers in the ratio (4+1=5)
-divide total population by 5 (6,550/5= 1,310)
-multiply the outcome by 4 to find the number of literate people (1,310*4=5,240 people)
-subtract the number of literate people from total population to find number of illiterate people (6,550-5,240= 1,310 people).
Population of Jacksonville was 3810 and 2010 and is growing at an annual rate of 3.5% if the growth rate continues what will the approximate population in 2023
Answer:
FV= 5,958.67 = 5,959
Step-by-step explanation:
Giving the following information:
Current population (Present Value)= 3,810
Growth rate (g)= 3.5% annual
Number of periods (n)= 13 years
To calculate the future number of people (FV), we need to use the following formula:
FV= PV*(1+i)^n
FV= 3,810*(1.035^13)
FV= 5,958.67 = 5,959
Which inequality correctly orders the numbers -5,-3, and 2 from greatest to least?
Answer:
1) 2 > -3 > -5
Step-by-step explanation:
that is mathematically correct
Give an example of a linear function whose graph intersects with the y-axis at the same points as the graphs of the following functions.
y= x+11
y= -9x-6
Answer:
Given functions:
y= x + 11y= -9x - 6They have different y-intercepts, therefore the line to intersect y-axis at the same points is y-axis itself.
The equation is:
x = 0The graph is attached
---------------------------------------
Note. If the question is about the lines above separately, then the answer is following
The first line has y-intercept of 11, any line with same y-intercept is the answer:
y = mx + 11, where m ≠ 1For the second line the equation is:
y = mx - 6, where m ≠ -9Answer:
y = mx + 11, where m ≠ 1
For the second line the equation is:
y = mx - 6, where m ≠ -9
–4.2 = –1.96(m − 10) + –4.2
Find variable
Answer:
m=10
Step-by-step explanation:
–4.2 = –1.96(m − 10) + –4.2
–4.2=-1.96m+19.6-4.2
-19.6=-1.96m
m=10
Which inequality is true?
0 -9 > 13
-10 > 9
0 -10 > -9
0 -13 < -10
Answer:
The last one.
1)0-9=-9
And a negative number is always smaller than a positive one
2)Negative number always smaller than positive
3)The smaller a negative number is, the closer it is to zero, so the greater it is
4)correct
Rob and his family ordered a meal that cost $100. Rob paid 4% sales tax and left an 18% tip on $100. What was the total cost
Answer:
121$
Step-by-step explanation:
Answer:
$122
Step-by-step explanation:
4% × 100 = 4
Including tax = $104
100 increase 18% =
100 × (1 + 18%) = 100 × (1 + 0.18) = 118
Including tax and tip = $122
In January, Mr Tan's students read 20 books. In Febuary, they read 15 books. What is the percent increase or decrease in the number of books they read?
A. 5% decrease
B. 15% increase
C. 25% increase
D. 25% decrease
Gabrielle is 10 years younger than Mikhail. The sum of their ages is 40. What is Mikhail's age
Answer:
Mikhail is 25 and Gabrielle is 15
Step-by-step explanation:
g = (m-10) and g+m = 40
We'll substitute that first equation into the second
(m-10) + m + 40
2m - 10 = 40
2m = 50
m = 25
Answer:
A) G +10 = M
B) G + M = 40
A) G -M = -10 Adding A) + B)
2 G = 30
Gabrielle is 15
Mikhail is 25
Step-by-step explanation:
this is my question
Answer:
3
3+3+27=33
Step-by-step explanation:
Answer:
so you would have to subtract and that would be 7=w
Step-by-step explanation:
A Math problem I need help on
Please solve step-by-step
6c + 7 = 13 + 7c
Answer:
c=6
Step-by-step explanation:
6c±7=13±7c
6c-7c=-1c
7-13=-6
-1c=-6
-1c=-6÷-1c to get the value of