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]
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
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)
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 r 0.5(r+2.76)=3
Answer:
r=1.43147648, −4.19147648
Step-by-step explanation:
A line intersects the point (3,-4) and has a slope of 17. What is the slope-intercept equation for this line? y = 17x + [?]
Help please, I'm stuck on this
An swer:
d
Step-by- step explana tion:
this is my question.please help QUICK
Answer:
sry i dont know sorry please
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.
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 :)
Plz help will mark brainlest if right
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
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?
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:
Plz helpp:( which statement is true?
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
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.
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)
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°
which 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°
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 x, round to tenth
Answer:11.6
Step-by-step explanation:
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!
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]
#CMIIWh/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]
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
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]
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
Find the shaded area. Round to the nearest tenth if necessary. 22 mm 18 mm 9 mm
Answer:
please send the figure.
