Question
a) What is the decay factor?
b) What is the percent decrease?
c) Estimate the number of black and white TV's sold in 1999.
Answer:
a. Decay factor = 0.85
b. Percent decrease = 15%
c. 19.363 million TVs were sold
Step-by-step explanation:
Given
[tex]n = 26.8(0.85)^t[/tex]
Solving (a): The decay factor
An exponential function has the form
[tex]y = ab^x[/tex]
Where b is:
[tex]b = decay\ factor\ or\ growth\ factor[/tex]
By comparison:
[tex]b = 0.85[/tex]
Solving (b): Percentage decrease:
Percentage decrease P is calculated as follows:
[tex]P = 1 - b[/tex]
Substitute 0.85 for b
[tex]P = 1 - 0.85[/tex]
[tex]P = 0.15[/tex]
Convert to percentage
[tex]P = 0.15*100\%[/tex]
[tex]P = 15\%[/tex]
Solving (c): TVs sold in 1999
First, we need to determine the value of t for 1999
In 1997, t= 0
In 1998, t= 1
In 1999, t= 2
So, we substitute 2 for t in: [tex]n = 26.8(0.85)^t[/tex]
[tex]n = 26.8(0.85)^2[/tex]
[tex]n = 26.8*0.7225[/tex]
[tex]n = 19.363[/tex]
Leo ordered shirts for 12 members of the social work team. He had each person's
name printed on the shirt for an added cost of $3 per shirt. If the total cost of the
order was $96, how much did each shirt cost before the names were printed?
Answer:
$5
Step-by-step explanation:
12x3=36
96-36=60
60/12=5
$5
Answer:
$32
Step-by-step explanation:
If u take 96 and divide it by 3 you get 32
Please help like please, please 30 PTS to anyone that gets it correct+ plus brainly
Answer:
2 and 1/2
Step-by-step explanation:
Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.
Answer:
70 i am 100 percent sure
Step-by-step explanation:
1:10
7 70
Hello! Can someone please help me with this question ? I’ll mark brainly thanks ! :)
Answer:
[tex]\Large\boxed{\text{Perpendicular Equation:} \ y = -\frac{2}{7}x + \frac{22}{7}}[/tex]
[tex]\Large\boxed{\text{Parallel Equation:} \ y = \frac{7}{2}x -12}[/tex]
Step-by-step explanation:
In order to find the equations that are parallel/perpendicular to the line [tex]y = \frac{7}{2}x - 4[/tex], we need to note a couple things about the relationships between lines and their parallel/perpendicular lines.
A) If a line is perpendicular to another, the slopes will be opposite reciprocals (for instance [tex]-2[/tex] and [tex]\frac{1}{2}[/tex] - multiplied, they equal -1.)B) If a line is parallel to another, they will have the exact same slope.Perpendicular:We know that the slope of a perpendicular line will be the the opposite reciprocal of the line we're comparing it to.
Since the slope of our base line is [tex]\frac{7}{2}[/tex], we can find the reciprocal, then the opposite of that.
Reciprocal of [tex]\frac{7}{2} = \frac{2}{7}[/tex] Opposite of [tex]\frac{2}{7} = -\frac{2}{7}[/tex]So the slope of this line will be [tex]-\frac{2}{7}[/tex], making our equation [tex]y = -\frac{2}{7}x+ b[/tex]
However, y-intercepts will not stay the same. In order to find this, we can substitute the point (4, 2) into our equation to solve for b.
[tex]2 = -\frac{2}{7} \cdot 4 + b[/tex] [tex]2 = -\frac{8}{7} + b[/tex] [tex]b = 2+\frac{8}{7}[/tex] [tex]b = 2 \frac{8}{7}[/tex] [tex]b=\frac{22}{7}[/tex]Now we know the y-intercept of this equation is [tex]\frac{22}{7}[/tex]. We can now finish off our equation of the line by substituting that in to what we already have, [tex]y = -\frac{2}{7}x+ b[/tex].
[tex]y = -\frac{2}{7}x+ \frac{22}{7}[/tex]
Parallel:As mentioned earlier, parallel lines will have the exact same slope but not the same y-intercept. Since the slope of our original equation is [tex]\frac{7}{2}[/tex], the slope for this one will also be [tex]\frac{7}{2}[/tex].
So we now know the equation looks something like [tex]y = \frac{7}{2}x + b[/tex].
In order to solve for b, we apply the same logic we did in the perpendicular line and substitute in the point (4, 2) into the equation.
[tex]2 = \frac{7}{2} \cdot 4 + b[/tex] [tex]2 = \frac{28}{2}+b[/tex] [tex]2 = 14+b[/tex] [tex]b = 2-14[/tex] [tex]b =-12[/tex]Now that we know the slope and the y-intercept, we can finish off our equation as [tex]y = \frac{7}{2}x -12[/tex].
Hope this helped!
PLEASE HELP .!!! ILL GIVE BRAINLIEST.. *EXRTA POINTS* .. DONT SKIP :(( !
ILL GIVE 40 POINTS .
Answer:its 3/4th gallons
Step-by-step explanation:
Answer:
5 is the answer i believe
Step-by-step explanation:if you add the xs together you get 4 the 1/2 plus 1/2 half = 1 so add 4 plus 1 you get 5
Given the linear inequality graph, which statements are true?
A)
Point (8,3) is a solution.
B)
The graph represents y
- 1 x + 5.
9
The graph represents y s 3x + 5.
D
All points in the blue area are solutions.
E)
All points above the broken line are solutions,
Answer: answer is b
Step-by-step explanation: I know it’s b
CAN YOU PLEASE HELP ME!!....
Answer:
I have no idea sorry :c
Step-by-step explanation:
which lines must be parallel?
A)r and s
B)p and q
C)p and r
D)q and s
Answer:
It may be R and S yet or not
-1/4d-2/5d=39
Solve for d
Please explain I don’t understand
Answer:
d = -60
Step-by-step explanation:
Given:
-1/4d - 2/5d = 39
-5d-8d/20 = 39
-13/20d = 39
Divide both sides by -13/20
d = 39 ÷ -13/20
= 39 × -20/13
= -60
d = -60
Find the values of x and y in the equation below.
aby
08
y =
DONEM
Answer:
x=6
y=18
Step-by-step explanation:
I just took the assignment in edg ;)
Expand and simplify: (2x-3)2
Answer:
4x-6
Step-by-step explanation:
2(2x) - 2(3)
4x-6
if any body does Lincoln Douglas debate, please let me know because I could use some help with how wording on part of my case.
Answer:
Step-by-step explanation:
the Lincoln-Douglas debates propelled Lincoln's political career into the national spotlight, while simultaneously stifling Douglas' career, and foreshadowing the 1860 Election. By 1858, Stephen A. Douglas was the most prominent politician in the West. Lincoln-Douglas debates, series of seven debates between the Democratic senator Stephen A. Douglas and Republican challenger Abraham Lincoln during the 1858 Illinois senatorial campaign, largely concerning the issue of slavery extension into the territories. The result of the debates was inconclusive. Senators were then chosen by state legislatures, and in the 1858 legislative election, Illinois Republican candidates slightly outpolled their Democratic rivals. Southerners believed that Abraham Lincoln was an abolitionist and also felt betrayed by Stephen Douglas's suggestion that territories could refuse to grant slavery legal protection. In 1860, Lincoln won the Republican Party's presidential nomination.In that election, he faced Douglas (again), who represented the Northern faction of a heavily divided Democratic Party, as well as Southern Democrat John C. Breckinridge and Constitutional Union candidate John Bell.
What is the slope of a line parallel to the line whose equation is 18x - 3y = -45 fully reduce your answer
if it takes 2 men, 3 days to paint a house how long will it take 6 men
hire 6 men and time then with a stopwatch and then you have your answer
y
3
2
c
-4
-3 -2 -1
-1+
1 2 3 4
-2+
-3+
-4+
41
What is the slope of the line?
Answer:
1
Step-by-step explanation:
(1,1) to (2,2) and (2,2) to (3,3) and so on is (1,1)
given f(a) = 2^a + 6, find f(3)
Answer:
14
Step-by-step explanation:
you substitute a with 3. so 2x2x2=8. then you do 8+6=14
12. Is 3 a solution to the equation 3x - 5
= 4 + 2x ? Explain
I
Answer:
No
Step-by-step explanation:
3x-5= 4+2x
Or, x=4+5
x=9
simplify x+x+y+y
I know this looks fairly easy but I keeping typing my answer into maths watch and its wrong apparently so please help
Answer:
2x+2y
Step-by-step explanation:
there are 2 x's so u can make it 1 by putting a 2 in front of it and same with y ... they have to be in alphabetical order and from greatest to least
that's how I was taught
Answer:
2(x+y)...... ......
Step-by-step explanation:
... ..........
What is the equation of the line that passes through the point
Answer:
The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.
Please help me I’ll give all my coins!
Answer:
x=3
Step-by-step explanation:
-4-5x+10x+9=20 ] +4
-5x+10x+9=20+4 ] -9
-5x+10x=24-9
5x=15
15:5=3
x=3
PLEASE HELP ME I NEED HELP ON THESE MATH PROBLEMS
Answer:
gurl download Symbolab right now!!
P + N = 8, where P = pennies and N = nickels. If the value of the coins is 28 cents, what other equation is necessary to find the number of each coin?
Select one:
a.
P + 5N = 28
b.
5P + N = 28
c.
P + 28 = 5N
d.
(1 + 5)N = P
e.
8 + N = 28
Answer:
a.
P + 5N 28
Step-by-step explanation:
The value of the coins is 28 cents. This means that if one were to account for the total money, it would amount to 28. So one would multiply the number of nickles by 5, (because one nickel is 5 cents), and the number of pennies by 1, (because a penny is one cent). The one would add the resulting values up to attain 28. The equation given in option A represents that, hence it is the correct answer.
#3: A home security company provides security systems for $5 per week plus an installation fee. The total fee for 12 weeks of service is $210. Write and solve a linear equation to find the cost of the installation fee.
Answer:
The installation fee is $150
Step-by-step explanation:
Ok so we need to see how much of the $210 is the installation fee. So first were going to multiply 5 by 12 which equals 60. So now were going to subtract that from the $210 so that gives us...
$210-$60=$150
Write 8 as a product of primes.
Use index notation
Answer:
2³
Step-by-step explanation:
8 = 2 × 2 × 2 = 2³
Which of the following sets of numbers could be the side lengths ofa right triangle?
5, 12, 13
5, 5, 9
14, 14, 14
2,3, 5
Answer:
if the sum of any 2 sides is equal to or less than the third side it is Not a triangle.
So A :- we have 2+4 = 6 so its not a triangle.
also D is not a triangle because 8+3 < 12
what about B and C?
HOPE IT HELPED!
14.4x - 28.2 > 36.6
What is the solution to the inequality? Enter the answer in the box.
X>
What’s is this??
Answer:
x > 4.5
Step-by-step explanation:
Given the inequality :
14.4x - 28.2 > 36.6
Collect like terms
14.4x > 36.6 + 28.2
14.4x > 64.8
Divide both sides by 14.4
x > 64.8 / 14.4
x > 4.5
Lane bought 12 pencils for
$0.39 each. What was the total cost of the
pencils before sales tax was added?
Answer:
$4.68
Step-by-step explanation:
if you do 0.39 x 12 you get 4.68
Answer:
$4.68
Step-by-step explanation:
12x0.39=$4.68
ITS MATH I NEED HELP
Answer:
undefined
Step-by-step explanation:
well the slope is
[tex]m = \frac{\Delta y}{\Delta x}\\\\=\frac{1-3}{4-4}=\frac{-2}{0}[/tex]
which is undefined
Hellllllllllo aluachantar
Answer this I can’t seem how
What’s 2+2 then -3?
Answer:
1
Step-by-step explanation:
2+2=4
4-3=1
please help need brainliest
Kip bought one and four sixths pounds of toffee. He gave five sixths of a pound to his friend. How much toffee does Kip have left?
(A )five sixths pound
(B )four sixths pound
(C )two and three sixths pounds
(D )one and one sixth pounds
Answer:
d
Step-by-step explanation: