Answer:
[tex]f(x) = (0.85)^x[/tex]
Step-by-step explanation:
Exponential amount of decay:
The equation for an amount that decays exponentially has the following format:
[tex]A(x) = A(0)(1 - r)^x[/tex]
In which r is the decay rate, as a decimal.
Decrease by 15%
This means that [tex]r = 0.15[/tex]. So
[tex]f(x) = (1 - r)^x = (1 - 0.15)^x = (0.85)^x[/tex]
So
[tex]f(x) = (0.85)^x[/tex]
4. Which of the following sets of ordered pairs represents a FUNCTION?* 1 point
(11, -7)
(14, 7)
(14, -9)
(15, -7)
(17, 7)
(15, -13)
(13, 1)
A
(10, -6)
(16, 18)
(16, 7)
(-3, 14)
(2, 16)
(16, 20)
(20, 10)
Oo
Answer:
Option DStep-by-step explanation:
The graph of a function should pass the vertical line test in order to be a function.
Option A
Fails as repeat x-values of 14 with different y-valuesOption B
Fails as repeat x-values of 15 with different y-valuesOption C
Fails as repeat x-values of 16 with different y-valuesOption D
All x-values are different so this is a functionThe rule is .
Every domain of the function should have an unique range i.e f(x)=y
#1
f(14) has two values hence not a function
#2
f(15) has two values hence not a function
#3
f(16) has two values hence not a function
#4
Yes it's a function,every domain has an unique range
An average of 20 pears were sold from Monday to Friday. After the sales on Saturday and Sunday, the average pears sold per day were increased to 25. How many pears were sold on Saturday and Sunday?
Answer:
5 pears
Step-by-step explanation:
Given that
The average of 20 pears were sold from Monday to Friday
But after the sales on Saturday and Sunday, the average pears sold per day were increased to 25
We need to determine the number of pears sold on Saturday and sunday
So, it is
= 25 pears - 20 pears
= 5 pears
For the equation y = 2x2 − 5x + 18, choose the correct application of the quadratic formula.
What is the area, in square units, of the shaded region? (nearest tenths place)
Answer:
169.6
Step-by-step explanation:
need help in this question
Answer:
B) 9
Step-by-step explanation:
110 + 75 + 11x - 9 + 8x + 13 = 360
19x + 189 = 360
19x (+ 189 - 189) = 360 - 189
19x = 171
19x/19 = 171/19
x = 9
A coffee roaster is designing a coffee can that can be modeled with a right cylinder for its new Breakfast Blend . Breakfast Blend costs the roaster $0.03 per cubic inch to produce. The roaster wants the can to contain an amount of coffee that will cost him no more than $7.50 to produce. Given that the height of the can is to be equal to its diameter, what is the maximum height allowable for the can? Round to the nearest tenth of an inch.
Answer: 6.8 inches
Step-by-step explanation:
Last Ss, super easy im just braindead
Answer:
the answer is 90
Step-by-step explanation:
Describe the transformation
please help its like 5th grade math
Step-by-step explanation:
vol of 1st cuboid,
=lxbxh
=4cm×6cm×1cm
=24cm³
vol of 2nd cuboid
= lxbxh
=6cm×3cm×1cm
=18cm³
vol of figure=18cm³+24cm³
= 42cm³
A man works 6 hours overtime. His basic rate is $7.00 per hour. He is paid double time for overtime. What is his overtime pay
Answer:
His overtime pay is of $84.00.
Step-by-step explanation:
He is paid double time for overtime.
Basic rate of $7.00, overtime is double, so $7.00*2 = $14.00.
Worked 6 hours overtime:
So his overtime pay is:
$14.00*6 = $84.00
His overtime pay is of $84.00.
Which best describes the number
71
what is the smallest angle of this triangle
17,26,29
Pairs of markings a set distance apart are made on highways so that police can detect drivers exceeding the speed limit. Over a fixed distance, the speed R varies inversely with the time T. In one particular pair of markings, R 58 is mph when T is 7 seconds. Find the speed of a car that travels the given distance in 9 seconds.
Answer: [tex]45.11\ mph[/tex]
Step-by-step explanation:
Given
Speed R varies inversely with time T i.e.
[tex]R\propto \dfrac{1}{T}\\\\R=\dfrac{C}{T}\quad [\text{C=constant}][/tex]
when R=58 mph, T=7 s i.e.
[tex]58=\dfrac{C}{7}\quad \ldots(i)[/tex]
when T=9 s
[tex]R=\dfrac{C}{7}\quad \ldots(ii)[/tex]
Divide (i) and (ii)
[tex]\Rightarrow \dfrac{58}{R}=\dfrac{9}{7}\\\\\Rightarrow R=\dfrac{7}{9}\times 58\\\\\Rightarrow R=45.11\ mph[/tex]
Find the value of x
Answer:
use Pisagorth theormi
23²=18²+x²
x²=23²-18²
23²=529
18²=324
x²=205
so the x =√205
its nearly equal 14.3.....
PLEASE HELP 50 POINTS
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900.
Verbally describe what each ordered pair in the first row of your table (when s = 0) means in terms of the situation. Use complete sentences in your answer.
Answer:
12 sales
Let x represent the number of sales each man had.
For Salesman A, he earns $65 per sale; this is 65x.
For Salesman B, he earns $40 per sale; this is 40x. We also add to this his weekly salary of $300; this gives us 40x+300.
Since their pay was equal, set the two expressions equal:
65x = 40x+300
Subtract 40x from each side:
65x-40x = 40x+300-40x
25x = 300
Divide both sides by 25:
25x/25 = 300/25
x = 12
Step-by-step explanation:
plz brainlist
Answer:
The other person is correct
Step-by-step explanation:
PLEASE HELP!!!!!
What is the measure of the other acute angle in the triangle above?
A. 53 degrees
B. 35 degrees
C. 37 degrees
D. 90 degrees
Answer:
53
Step-by-step explanation:
one angle is 37
the triangle means one is 90
a trianlge always = 180 total so
(37+90)-180
=53
please help guys!!
2.
Recall that
lines never intersect. This is because they have the
same
and different
If their y-intercepts were also the
same, then the lines would
and intersect everywhere. Lines that intersect
to form right angles are called
. When we constructed perpendicular lines,
we
the points of a line 90 degrees. This is how the
angles were created. Algebraically, we say that the slopes are
reciprocals meaning that their slopes have opposite
and flipped
You can check by multiplying them. The
of negative
reciprocals is -1.
Word Bank:
negative
slope
perpendicular
rotated
product
overlap
right
parallel
signs
y-intercept
fractions
Answer:
and the question is? I'm confused
Here's the revenue and expenses for the month. Calculate whenever Mia had a profit or loss.
Answer:$450 i think?
Step-by-step explanation:
Which property or postulate is shown? If A=B and B=C, then A=C.
Subtraction Postulate
Symmetric Property
Transitive Property
Reflexive Property
This is the transitive property :)
Linda invested $12,500 in an
account that earns 4.5% interest,
compounded monthly. What is
the value of the account after
4 years? Round your answer to
the nearest cent.
Answer:
12500
Step-by-step explanation:
4.5 × 48=216.
12500 Plus 216= 12,716
The value of the invested money becomes $103393.20 after 4 years if the interest rate is 4.5% and compounded annually.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+r)^t[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
t = How long the money is deposited or borrowed (in years)
We have in the question:
p = $12,500
r = 4.5% ⇒ 0.045
t = 4 years ⇒ 4×12 ⇒ 48 months
Put the above values in the formula, we get;
[tex]\rm A = 12500(1+0.045)^4^8[/tex]
A = 12500×8.27145
A = $103393.20
Thus, the value of the invested money becomes $103393.20 after 4 years if the interest rate is 4.5% and compounded annually.
Learn more about the compound interest here:
brainly.com/question/26457073
what is the value of -35•(5/7)?
Answer:
[tex] - 35{ \bold{.}}( \frac{5}{7} ) \\ = - \frac{175}{7} \\ = 25[/tex]
For some integer q, Every odd integer is of the form
(a) q (b) q+1 (c) 2q (d) 2q+1
Answer:
Every Odd Integer is of the form 2q+1
Take 5 as our test odd Number
2(5) + 1 = 11.
This works and Nothing else will from the set of Options.
SO OPTION D IS LEGIT!
HELP PLEASEEEEEEE
Suppose x = 7 is a solution to the equation 4x – 2(x + a) = 8.
Find the value of a that makes the equation true.
-25
2
3
6
=> 4(7)–2(7+a)=8
=>28–14–2a=8=>14–2a=8=>-2a=8–14=>-2a=-6=>a=3i need to gina the length of the side
Answer:
15
Step-by-step explanation:
9 squared + 12 squared = x squared
81 + 144 = x
81 + 144 = 225
the sqaure root of 225 = 15
Which is the answer no links please.
Answer:
c
Step-by-step explanation:
The area of a rectangle is n^2+6n-27. One side of the rectangle is n + 9. What is the length of the
remaining side?
[tex]n^2 +6n-27 = n^2+6n-27+0\\~\\n^2+6n-27+0 = n^2+6n-27+(3n-3n) \\~\\n^2+6n-27+(3n-3n) = n^2+9n-3n-27\\~\\n^2+9n-3n-27 = n\cdot(n+9)-3\cdot(n+9) \\~\\n\cdot(n+9)-3\cdot(n+9) = (n+9)(n-3)[/tex]
The other side is n-3
Find the amount each consent would carry if the total amount carried (5 cups) was redistributed equally among all contestants.
Answer:
Step-by-step explanation:
Given that :
Total amount in cups of green Ooze = 5 cups
From. The dot plot ; The total number of contestants obtained by counting each dot on the plot is 10
Hence ; amout received by each contestants given equal distribution :
5 cups / 10 = 1/2 cups
1/2 cups per contestant.
A cylinder and a cone have the same volume. The cylinder has radius x and height y . The cone has radius 1/2x . Find the height of the cone in terms of y .
Answer:
height = 1/4y
Step-by-step explanation:
V(cylinder) = πr²h
V(cone) = πr²h ÷ 3
V(cyl) = πx²y
V(cone) = π(1/2x)²y which simplifies to be πx²y ÷ 4
πx²y = πx²y ÷ 4
if you divide each side by πx² you get:
y = y/4
height is 1/4y
An ice-cream store sold 70 sundaes. The ratio of
strawberry to chocolate sundaes was 3:4. How
many strawberry sundacs did they sell
Answer:
30 strawberry sundaes.
Step-by-step explanation:
We know there is a total of 70 sundaes.
3 sundaes will be strawberry.
4 sundaes will be choclate.
When you add 3 and 4 together, you get 7. This is your total ratio.
So 3/7 of the sundaes are strawberry.
And 4/7 of sundaes are choclate.
We know there is a total of 70 sundaes.
The total ratio we figured out is 7.
If the total sundaes is 70, and the total ration is 7. Then the total sundaes is 10 times bigger than the ratio.
This means we need to multiply the 3 strawberry sundaes and 4 choclate sundaes by 10.
3*10=30
4*10=40
So there are 30 strawberry sundaes and 40 choclate sundaes.
We need to find the strawberry sundae amount, so the answer is 30.
Hope this helps!
Which is not a solution of 5g - 6 => 24?
A. g=6
B. g=10
C. g. 20
D. g=-8
Answer:
A. g=6
Step-by-step explanation:
5g-6=24
5g=30
g=30/5
g=6
Answer:
D, g = -8
Step-by-step explanation:
5 (-8) - 6 => 24
-40 - 6 => 24
-46 is NOT greater than or equal to 24.