Answer:
[tex]V(x) = -\frac{340}{3}x +2220[/tex]
[tex]V(8) = 1313.3[/tex]
Step-by-step explanation:
Given
Let x represent years and V represents the value.
So, we have:
[tex](x_1,v_1) = (0,2220)[/tex]
[tex](x_2,v_2) = (6,1540)[/tex]
Solving (a): The linear function
First, we calculate the slope (m)
[tex]m = \frac{v_2 - v_1}{x_2 - x_1}[/tex]
This gives:
[tex]m = \frac{1540-2220}{6-0}[/tex]
[tex]m = \frac{-680}{6}[/tex]
[tex]m = -\frac{340}{3}[/tex]
The linear function is calculated using:
[tex]v - v_2 = m(x - x_2)[/tex]
Where:
[tex](x_2,v_2) = (6,1540)[/tex]
[tex]m = -\frac{340}{3}[/tex]
So, we have:
[tex]v - 1540 = -\frac{340}{3}(x - 6)[/tex]
Open bracket
[tex]v - 1540 = -\frac{340}{3}x +\frac{340}{3}* 6[/tex]
[tex]v - 1540 = -\frac{340}{3}x +680[/tex]
Make v the subject
[tex]v = -\frac{340}{3}x +680+1540[/tex]
[tex]v = -\frac{340}{3}x +2220[/tex]
So, the function is:
[tex]V(x) = -\frac{340}{3}x +2220[/tex]
Solving (b): When x = 8
Substitute 8 for x in [tex]V(x) = -\frac{340}{3}x +2220[/tex]
[tex]V(8) = -\frac{340}{3}*8 +2220[/tex]
[tex]V(8) = -\frac{340*8}{3} +2220[/tex]
[tex]V(8) = -\frac{2720}{3} +2220[/tex]
Take LCM
[tex]V(8) = \frac{-2720+2220*3}{3}[/tex]
[tex]V(8) = \frac{-2720+6660}{3}[/tex]
[tex]V(8) = \frac{3940}{3}[/tex]
[tex]V(8) = 1313.3[/tex]
Hence, its value after 8 years is 1313.3
HELP PLEASE LOTS OF POINTS AND BRAINLIEST!!!
3C. With distances in feet, use the see saw principle to find the number of feet represented by N in the balanced seesaw
3D In the cryptarithm shown, different letters stand for different digits, and no leading digit can equal 0. Find the greatest possible value of “OFF”.
SAT/SUN/OFF
Answer:
N=5
Step-by-step explanation:
38N = 10*4 + (4+6)15
38N = 180
N=5
Answer:
Answer:
N=5
Step-by-step explanation:
Step-by-step explanation:
38N = 10*4 + (4+6)15
38N = 190
N=5
Jason bought a soft drink for 2 dollars and 8 candy bars He spent a total of 26 dollars how much did each candy bar cost
Answer: Each candy bar cost him 3$
Step-by-step explanation:
First you subtract 26-2 to get 24. This is since he purchased the drink for 2$. Now he uses the 24 dollars to buy 8 candy bars, to figure how much each is you have to divide. You divide 24 by 8 in order to get 3.
Answer:
$3
Step-by-step explanation:
Urgent please help..
Answer:
y=[tex]6\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\frac{6}{sin45} =\frac{x}{sin45} \\x=6\\\\y^{2}=6^{2} +6^{2} \\y=\sqrt{72} \\y=6\sqrt{2}[/tex]
geometric sequence or whatever
How do I do this? Please give subtle explanation too. I don't really understand at all. If I understand this question, I'll understand the rest.
(it's 54 points too lol)
Step-by-step explanation:
An = -2 * An-1
What this means is that you multiply -2 to the term to get the next term.
Since our 1st term (A1) is -2, we have:
A2 = -2 * A1 = -2 * (-2) = 4,
A3 = -2 * A2 = -2 * (4) = -8,
A4 = -2 * A3 = -2 * (-8) = 16,
A5 = -2 * A4 = -2 * (16) = -32,
A6 = -2 * A5 = -2 * (-32) = 64.
Hence our first 6 terms in the GP are
-2, 4, -8, 16, -32 and 64.
Simplify.
(x2+x−1)+(2x2−3x+9)
Answer:
32−2+8
Step-by-step explanation:
Eliminate redundant parentheses
thats the answer simplified
how many solutions are there for
x-2y=6
3x-6y=18
Answer:
This is for solving x is x=6+2y and solving for y is y=-6-x/2
they both are the same
Step-by-step explanation:
Eva swims 1/2 of a mile in 1/4 of an hour. How far will she swim in 1 hour?
Answer:
2 miles branliest pls
Step-by-step explanation:
Answer:
2miles in 1 hour
Step-by-step explanation:
miles hours
1/2 1/4
1 2/4
1 1/2 3/4
2 4/4
Sheila leaves on a trip driving at 30 miles per hour. Two hours later, her sister Allison starts from the same location driving at 60 miles per hour. How long after Allison leaves home will she catch up to Sheila?
2 hours
4 hours
3 hours
5 hours
Answer:
2 hours
Step-by-step explanation:
z=2 = 27
_____ __
4 12
Answer:
hmmmmmm
i believe that the answer is _
because of _
(i helped w/ your other one lol)
Step-by-step explanation:
Complete 55%
Record: 1/5 Score: 1 Penalty: None
Tiana Lott
Write Single Inequality from Context
Jan 15, 11:07:31 AM
?
Michael has n nickels and d dimes. He has no more than 20 coins altogether. Write
this situation as an inequality.
Anstrer
Setomít. Arower
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attentiota
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Type here to search
The circumference of Tyler's bike tire is 72 inches. What is the diameter of the tire? Please leave a detailed explanation of how you got your answer!! Thank You!
Answer:
22.91 inches
Step-by-step explanation:
circumference = 2πr
2πr = 72 inches
2 x [tex]\frac{22}{7}[/tex] x r = 72
[tex]\frac{44}{7}[/tex] x r = 72
Solving for r , divide both sides of the equation by 7/44
r = 11.454545 inches
diameter= 2 x radius
2 x 11.454545 inches = 22.91 inches
A king owned land outside of his castle he has partitioned the land to give as gifts to his 5 sons what fraction of land did the king give to each of his sons here is zeke solution andy got 1/2 bill got 1/5 carl got 1/5 dirk got 1/8 and evan got 1/8 identify zeke's two errors correct them and explain why your answers are correct
Picture relating to the question is attached
Answer:
Andy = 1/2
Bill = 1/8
Carl = 1/8
Evan = 1/8
Dirk = 1/8
Step-by-step explanation:
According to the picture depicting the sharing of the land :
Fraction of the total rectangular plot = 1
Andy got a portion of the whole divided into 2 = 1/2
Fraction left after Andy's portion:
1 - 1/2 = 1/2
1/2 of the fraction left was divided equally between Dirk and Evan
Hence ;
1/2 of 1/2 = 1/2 * 1/2 = 1/4
Dirk's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8
Evan's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8
Fraction of land left :
1 - (1/2 + 1/8 + 1/8) = 1 - 3/4 = 1/4
1/4 was divided equally into 2 for Bill and Carl:
Bill's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8
Carl's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8
Evaluate the expression for the given value of the variable.
29 + 5/6r
r = -1/2
find r
Hey there!
The solution to your question is
We simply plug the "r" value into the equation and solve:
29 + (5/6)(-1/2)
29 + -5/12
28 7/12
Hope it helps! Have an amazing day, and remember, You've got this!
Determine an equation of the line that is perpendicular to the line 3x + 12y = 1 and contains the
point (-2, 6)
Step-by-step explanation:
find 3x + 12y = 1 in terms of y
so y = -3/12 z + 1/3
y = -1/4 x + 1/3
gradient of the line(m) = -1/4
gradient of the line perpendicular to the line 3x + 12y = 1 is -1/m = -1 ÷ -1/4 = -1 x -4 = 4
(OR change the sign to its opposite(- to + and + to -) then put the denominator in place of the nominator and the nominator in place of the denominator)
for this line x1=-2 and y1=6 and m=4
so using the equation
(y-y1) = m(x-x1)
y-6 = 4(x-(-2)
y-6 = 4(x+2)
y-6 = 4x + 8
y = 4x + 14
y = 4x + 14 is the equation of the line that contains the coordinates (-2, 6) and is perpendicular to the line 3x + 12y = 1.
What is the slope-intercept form of a line?When you know the slope of the line to be investigated and the given point is also the y-intercept, you can utilize the slope-intercept formula, y = mx + b. (0, b). The y value of the y-intercept point is denoted by the symbol b in the formula.
Given an equation of line 3x + 12y = 1
so y = -3/12 z + 1/3
y = -1/4 x + 1/3
gradient of the line(m) = -1/4
gradient of the line perpendicular to the line 3x + 12y = 1 is -1/m = -1 ÷ -1/4 = -1 x -4 = 4
(OR change the sign to its opposite(- to + and + to -) then put the denominator in place of the nominator and the nominator in place of the denominator)
for this line x₁=-2 and y₁=6 and m=4
so using the equation
(y-y₁) = m(x-x₁)
y-6 = 4(x-(-2)
y-6 = 4(x+2)
y-6 = 4x + 8
y = 4x + 14
Therefore, the equation of the line that is perpendicular to the line 3x + 12y = 1 and contains the point (-2, 6) is y = 4x + 14
Learn more about slope intercept form here:
https://brainly.com/question/19824331
#SPJ2
Please help I don’t get it I will mark brainleist
Answer:
In geometry, a triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides. A right triangular prism has rectangular sides, otherwise it is oblique. A uniform triangular prism is a right triangular prism with equilateral bases, and square sides.
Step-by-step explanation:
bro trust me
Hrozmarly needs to evaluate the following expression y^2-x^2 when y=9 and x=2. Her answer should be?
i am in 6 grade
Answer:
Step-by-step explanation:
y^2 -x^2=
y^2=9^2=81
x^2=2^2=4
81-4=77
4xy = 88. If y = 2, then what is x?
Answer: x = 11
Step-by-step explanation:
first, i did simple calculations.
4x(2) = 88
that calculates out to:
8x = 88
then, i divided both sides by 8, in order to get x by itself.
8x/8 = 88/8
x = 11
Need help with explicit rule. Please help.
Answer:
An = 74(1.07)^n-1
Step-by-step explanation:
Here, we want to get the explicit rule
We are told that the sequence is geometric
At hour 4, we have that this is the 4th term
With conformance to the rule of geometric progression;
T4 = ar^3
90 = ar^3
for the 6th hour, this is the sixth term
103 = ar^5
dividing the 6th term by the 4th term, we have that
103/90 = ar^5/ar^3
103/90 = r^2
r = 1.07
To get a, we simply use any of the terms to substitute
using;
ar^3 = 90
a = 90/r^3
a = 90/1.07^3
a = 73.5 which is approximately 74
So the explicit rule is as follows;
An = 74(1.07)^n-1
I need help with this question
Answer:
Equal
Step-by-step explanation:
After dilation, the shape of the original figure is maintaine. Only the size changes.
Consequently, the side lengths of both figures would be proportional to each other. This implies that the ratios of the corresponding side lengths of the original figure and the new figure would be equal.
On Monday, Aisha spent 5 over 6 of an hour practicing the violin. On Tuesday, she practiced for 2 over 3 of an hour. Which equation shows correctly how much longer she practiced on Monday than on Tuesday?
Answer: 1/6
Step-by-step explanation:
5/6 - 4/6 = 1/6
Answer:
1
-
6
Step-by-step explanation:
Take a look at the blue function below. The dashed green function is its parent
function. Are these sine or cosine functions?
1
2TT
-1
Sine
ОО
Cosine
Answer:
Step-by-step explanation:
They are both sine functions. The blue one is multiplied by 2 and shifted down one.
blue: y = 2 * sin(theta) - 1
green: y = sin(theta)
I'm not sure what the answers mean.
Sandy noticed there was a sale going on at Target. She decides to buy a blanket that has a price of $26.80. If the blanket is on sale for 30% off, how much will the blanket be after the discount?
Answer:
18.76
Step-by-step explanation:
I need help with 13&14 please ASAP!!!!!
Answer:
3/5 for 13
Step-by-step explanation:
add 2 to the numerator and the denominator
Willam fills 1/3 of a water bottle in 2/5 of a minute. How much time will it take him to fill the bottle?
Answer:
1/2 of a minute
Step-by-step explanation:
Answer:
Willam fills 1/3 of a water bottle in 2/5 of a minute. How much time will it take him to fill the bottle
Step-by-step explanation:
Willam fills 1/3 of a water bottle in 2/5 of a minute. How much time will it take him to fill the bottle
4+2(7)=
Evaluate
can someone plz help im confused
Answer:
4+14= 18 this is the answer
Step-by-step explanation:
2(7)=14+4=18
you multiply the 2 and 7 and then add the 4
Answer:
18
Step-by-step explanation:
what this wants you do do is use PEMDAS. the number in parentheses always means to multiply. first youre gonna multiply 2 by 7 which gives you fourteen. then add 4 to 14 which gives you 18.
hope this helped! <3
Which triangle would be congruent to the original using a reflection over the x-axis
a.
b.
c.
d.
PLS SOMEONE!! I NEED THE ANSWER PLSSS!
Answer:
100 miles. hope this helps
Answer:
Here, For a given figure,
Area (A) = 10 in². (given)
Now,
1 inch = 50 miles
So,
1 inch² = 50 miles²
So, 10 × 50 = 500
-TheUnknownScientist
help me pls what is 3(3)+1
Answer:its 10 :)
Step-by-step explanation:
Add.
-7+ (-1) =
need asap
Answer:
The answer is -8
Which of the following pairs of inequalities are equivalent
x-5> 4 and 2x-10 >8
x- 5 >4 and 2x +10 >8
x+5 >4 and 2x+10 <8
ALL
Answer:
(a): [tex]x-5> 4[/tex] and [tex]2x-10 >8[/tex]
Step-by-step explanation:
Given
Pairs of inequalities
Required
Select which is equivalent
(a): [tex]x-5> 4[/tex] and [tex]2x-10 >8[/tex]
Multiply both sides of [tex]x-5> 4[/tex] by 2
[tex]2 * (x - 5) > 4 *2[/tex]
[tex]2 * x - 2*5 > 4 *2[/tex]
[tex]2x - 10 > 8[/tex]
Hence: [tex]x-5> 4[/tex] is equivalent to [tex]2x - 10 > 8[/tex]
(b): [tex]x-5> 4[/tex] and [tex]2x+10 >8[/tex]
Multiply both sides of [tex]x-5> 4[/tex] by 2
[tex]2 * (x - 5) > 4 *2[/tex]
[tex]2 * x - 2*5 > 4 *2[/tex]
[tex]2x - 10 > 8[/tex]
Hence: [tex]x-5> 4[/tex] is not equivalent to [tex]2x+10 <8[/tex]
(c): [tex]x+5> 4[/tex] and [tex]2x+10 <8[/tex]
Multiply both sides of [tex]x+5> 4[/tex] by 2
[tex]2 * (x + 5) > 4 *2[/tex]
[tex]2 * x + 2*5 > 4 *2[/tex]
[tex]2x + 10 > 8[/tex]
Hence: [tex]x+5> 4[/tex] is not equivalent to [tex]2x+10 <8[/tex]