Answer:
[tex]y = 0.045x -0.445[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1)=(11,5\%)[/tex] ---- in 2011
[tex](x_2,y_2)=(15,23\%)[/tex] --- in 2015
Required
Linear equation for x years after 2000
First, calculate the slope
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{23\% - 5\%}{15 - 11}[/tex]
[tex]m = \frac{18\%}{4}[/tex]
[tex]m = 4.5\%[/tex]
[tex]m = 0.045[/tex]
The equation for x years after 2000 is:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 0.045(x - 11) + 5\%[/tex]
[tex]y = 0.045x - 0.495 + 0.05[/tex]
[tex]y = 0.045x -0.445[/tex]
Help please, I'm stuck on this
An swer:
d
Step-by- step explana tion:
Some friends went hiking. The very top of the trail that was a total of 26 miles from town, where the friends began their journey. They drove 8 more miles and they walked on the trail. How far to the front walk? How far to the friends drive?
Please solve step-by-step
Answer: they drove 27 miles+ and walked 8 miles
Step-by-step explanation:
The drama club is printing T-shirts for its members. The printing company charges a certain amount for each shirt, plus a setup fee of $40. There are 21 students in the drama club.
If the T-shirt order costs a total of $187, how much does each T-shirt cost?
Solve for r 0.5(r+2.76)=3
Answer:
r=1.43147648, −4.19147648
Step-by-step explanation:
A B C
101
a) Complete the table of values for
y = 2x?
-2
0
1
2.
8
2
y
1
3.
6
S
b) Which of the three curves drawn
matches the graph of y = 2xº + x?
3-
View One Minute Version
Overview
Drawing Quadratic Graphs

25
Step-by-step explanation:
I think I don't know but jah
Simplify the question
Answer:
The answer is 17x^2 + 4x - 2
if you click the image it will give you a better look at the answer just in case. Hope's this helps :)
Can someone help me please I will give brainleast just please help me out
Question 5
Flat fee = $6
Question 6
The group should charge $65 for 15 bags of leaves.
Question 7
The relationship between the amount charged and the number of bags filled is linear.
please help me figure out the volume c;
Answer:
V=L×W×H
Step-by-step explanation:
V=4×3×5
V=60 inches Cubed
Point C (3,6, -0,4) divides AB in the ratio 3:2. If the coordinates of point B are. If point D divides CB in the ratio 4:5, the coordinates of point D are
Answer:
B = (10, -4), D = (58/9, -2)
Step-by-step explanation:
Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are ___ . If point D divides in the ratio 4 : 5, the coordinates of point D are ___ .
Solution:
If point O(x, y) divides line segment AB with endpoints at A(x₁, y₁) and B(x₂, y₂) in the ratio n:m, then:
[tex]x=\frac{n}{n+m}(x_2-x_1)+x_1 ;\ y=\frac{n}{n+m}(y_2-y_1)+y_1[/tex]
Since point C divides AB in the ratio 3:2. Let the coordinates of B be (x₂, y₂). Hence:
[tex]3.6=\frac{3}{3+2}(x_2-(-6))-6\\\\9.6=\frac{3}{5}(x_2+6) \\\\x_2+6=16\\\\x_2=10\\\\\\-0.4=\frac{3}{3+2}(y_2-5)+5\\\\-5.4=\frac{3}{5}(y_2-5) \\\\y_2-5=-9\\\\y_2=-4[/tex]
B = (10, -4)
D divides CB in the ratio 4:5. Let D = (x, y). Hence:
[tex]x=\frac{4}{4+5}(10-3.6)+3.6 \\\\x=\frac{58}{9} \\\\\\y=\frac{4}{4+5}(-4-(-0.4))+(-0.4)\\\\y=-2[/tex]
Hence D = (58/9, -2)
this is my question.please help QUICK
Answer:
sry i dont know sorry please
Based on the diagram, which expresses all possible
lengths of segment AB?
A. AB = 25
B. 27 < AB <81
C. AB = 85
D. AB < 27 or AB > 81
Answer:
B
Step-by-step explanation:
Given 2 sides of a triangle then the third side is in the range
difference of 2 sides < AB < sum of 2 sides , that is
54 - 27 < AB < 54 + 27
27 < AB < 81 → B
It 16x = (141)²-(109)², then
the value of x is.
(a). 150
(b). 500
(c). 600
(d). 32
Answer:
b) 500
16x = (141)^2 - (109)^2
or, 16x = 19881 - 11881
or, x = 8000/16=500
Plz help will mark brainlest if right
What is the height of a tree if a man standing 5 feet tall is 42 ft from the tree and sees the top of the tree at an angle of elevation of 32°?
Answer: [tex]31.24\ ft[/tex]
Step-by-step explanation:
Given
The height of a man is 5 ft
Distance between man and tree is 42 ft
the angle of elevation is [tex]32^{\circ}[/tex]
Suppose h is the height of the tree
[tex]\Rightarrow \tan 32^{\circ}=\dfrac{h-5}{42}\\\\\Rightarrow h-5=26.24\\\Rightarrow h=31.24\ ft[/tex]
Plz helpp:( which statement is true?
2. Given the points (-3,0) and (3,0), write a possible equation for a quadratic function in factored form.
9514 1404 393
Answer:
y = (x +3)(x -3)
Step-by-step explanation:
If p is a zero of a polynomial, then (x -p) is a factor. The given zeros are -3 and 3, so the factors are (x -(-3)) and (x -3). Then the factored form of the equation can be ...
y = (x +3)(x -3)
David used the computer a total of 45 hours last week. How
many more did David use the computer to play games than to do
homework?
Ms. Etienne deposited $450 into an account that paid 5% interest compounded annually. She did not make any
additional deposits or withdrawals.
Which amount is closest to the value of the account at the end of 6 years?
A $603.04
B $585.00
© $463.67
o
$463.50
Answer:
$603.04
Step-by-step explanation:
The Compound Amout formula is A = P(1 + r)^t, where:
P is the principal (initial deposit), r is the annual interest rate as a decimal fraction, and t is the time period in years.
In this particular case, the Compound Amount is:
A = ($450)(1 + 0. 05)^6 = ($450)(1.34) = $603.04
solve for x, round to tenth
Answer:11.6
Step-by-step explanation:
Find the shaded area. Round to the nearest tenth if necessary. 22 mm 18 mm 9 mm
Answer:
please send the figure.
PLEASE ANSWER QUICKLY!
Decorative glass balls are being stored in a box. Each ball has a radius of 213 cm.
How many balls will fit in each layer of a box that is 20 cm by 15 cm?
A.) 7 balls
B.) 12 balls
C.) 48 balls
Answer:
2/3
Step-by-step explanation:
Answer:
B.) 12 balls
Step-by-step explanation:
i took the test on k-12!
There are 12 female performers in a dance recital. The ratio of men to women is 2:3. How many men are in
the dance recital?
Answer:
8 men
Step-by-step explanation:
2 is men 3 is women
8 is men 12 is women
Use triangles to find the sum of the interior angle measures of the polygon.
Answer:
1440°
Step-by-step explanation:
From the 8 sided diagram, 8 triangles can be obtained. 1 triangle adds up to 180° thus for the diagram ,sum of interior will be 180°×8=1440°
h/6-1=-3 Please help me with this math problem.
Answer:
[tex]h=-15[/tex]
Step-by-step explanation:
[tex]\frac{h}{6-1}=-3[/tex]
Simplify:
[tex]\frac{1}{5} h=-3[/tex]
Multiply both sides by 5:
[tex]5\times(\frac{1}{5}h)=(5)\times(-3)\\h=-15[/tex]
h = -15 is your final answer.
Answer:
h = -15Step-by-step explanation:
[tex] \frac{h}{6 - 1} = - 3 \\ \: \: \: \: \: \: \frac{h}{5} = - 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: h = 5 \times ( - 3) \\ \: \: \: \: \: \: \: \: \: h = - 15[/tex]
how do you multiply
Answer:
lets say you where multiplying by 2
2+ 2=4 so that would mean 2x2 is 4
and so on and so on
Step-by-step explanation:
ok so an equation like 2x3 is the same as 2+2+2.
A football field measures at 100 yards with 2 end zones. There are 2 end zones. Each end-zone is 10 yards long. What is the total length of the football field in feet?
Answer:
360 feet.
Step-by-step explanation:
If there are 2 end zones each measuring 10 yards long then that means that both together measure 20 yards long. We add this to the 100 yards of the field and we get a total length of 120 yards. Now we can simply turn this into feet, we know that ...
1 yard = 3 feet
120 yards = x feet
120 * 3 = x
360 feet = x
Finally, we can see that the length of the football field is 360 feet.
A line intersects the point (3,-4) and has a slope of 17. What is the slope-intercept equation for this line? y = 17x + [?]
I also give brainliest on this, help please is for today
Step-by-step explanation:
[tex] \frac{42}{14} = \frac{x}{12} \\ x = \frac{42 \times 12}{14} \\ x = \frac{504}{14} \\ x = 36[/tex]
#CMIIWwhich expression has the least value when x=100?
A.1/x
b.10/x
c.1-x
D 10-x
Answer:
C
Step-by-step explanation:
C will have the least value with -99.
A would be 1/100, which is 0.01, which is small, but larger than -99.
B would be 10/100, which is 0.1, which is larger than A.
C is 1-100, which equals -99.
D is 10-100, which equals -90. -99 is smaller than -90.
Answer:
c) 1 - x
Step-by-step explanation:
x = 100
a) [tex]\frac{1}{x}[/tex] ⇒ [tex]\frac{1}{100}[/tex]
answer ⇒ 0.01
b) [tex]\frac{10}{x}[/tex] ⇒ [tex]\frac{10}{100}[/tex]
answer ⇒ 0.10
c) 1 - x ⇒ 1 - 100
answer ⇒ -99
d) 10 - x ⇒ 10 - 100
answer ⇒ -90
What is the measure of angle D?
Answer:
m<D = 26
Step-by-step explanation:
<D = x
x + 122 + 32 = 180
x + 154 = 180
x = 180 - 154
x = 26
Answer:
Step-by-step explanation:
<D + 122° + 32° = 180° ( being sum of angles of triangle )
< D = 180° - 154°
< D = 26°
