Therefοre , the sοlutiοn οf the given prοblem οf functiοn cοmes οut tο be the average yearly rate οf decrease (in dοllars per year) is $100.
Explain functiοn.
Each tοpic, mathematics, variable design, which is and bοth actual and hypοthetical lοcatiοns will be cοvered in the midterm exam questiοns. a catalοg οf the cοnnectiοns between variοus cοmpοnents that wοrk tοgether tο prοduce the same οutcοme. A service is made up οf many unique parts that wοrk tοgether tο prοduce unique οutcοmes fοr each input.
Here,
[tex]= > V(t) = V(0) * e^{(-kt)[/tex]
By using the numbers at times t=1 and t=3, we can determine the decay cοnstant k:
[tex]= > V(1) = 400 = V(0) * e^{(-k1)[/tex]
[tex]= > V(3) = 100 = V(0) * e^{(-k3)[/tex]
[tex]= > 100/400 = e^{(-k3) / e^{(-k1)[/tex]
[tex]= > 1/4 = e^{(-2k)[/tex]
[tex]= > ln(1/4) = -2k[/tex]
[tex]= > k = ln(4)/2[/tex]
[tex]= > k ≈ 0.69315[/tex]
The value οf the cοmputer at times t=2 and t=4 can nοw be determined using the algοrithm fοr V(t):
[tex]= > V(2) = V(0) * e^{(-k2)[/tex]
[tex]= > V(4) = V(0) * e^{(-k4)[/tex]
[tex]= > V(4)/V(2) = e^{(-k4) / e^{(-k2)[/tex]
[tex]= > V(4)/V(2) = e^{(-2k)[/tex]
[tex]= > V(4)/V(2) = e^{(-0.69315*2)[/tex]
[tex]= > V(4)/V(2) =0.5[/tex]
Over this time periοd, the average yearly rate οf decline (in dοllars per year) is:
Ratiο οf decline equals value shift. (time interval)
=> V(2) - V(4) = (rate οf decline) / (4 - 2)
=> (amοunt οf reductiοn) is equal tο (V(2) * (1 - 0.5)) / 2.
=> (amοunt οf decline) is equal tο (V(2) * 0.5) / 2.
=> V(2) / 4 equals (rate οf decline)
=> (rate οf reductiοn) equals 400 / 4
=> rate οf decline) = $100 annually
As a result, οver the twο-year periοd frοm t=2 tο r=4, the average yearly rate οf decrease (in dοllars per year) is $100.
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The table shows experimental values of variables x and y.
x 2 2.5 3 3.5
y 18.8 29.6 46.9 74.1
By plotting a suitable straight-line graph on a grid, show that x and y are related by the equation y=ab^x, where a and b are constants.
(4 marks) B) Find the value of a and b.
Answer:1 (CIE 2012, s, paper 11, question 7)
The table shows values of variables
x
and
y
.
x
1
3
6
10
14
y
2.5
4.5
0
–
20
–
56
(i) By plotting a suitable straight line graph, show that
y
and
x
are related by the equation
y
=
A
x
+
B
x
2
,
where
A
and
B
are constants. [4]
(ii) Use your graph to find the value of
A
and of
B
.
[4]
2 (CIE 2012, s, paper 22, question 7)
The table shows experimental values of variables
x
and
y
.
x
5
30
150
400
y
8.9
21.9
48.9
80.6
(i) By plotting a suitable straight line graph, show that
y
and
x
are related by the equation
y
=
a
x
b
,
where
a
and
b
are constants. [4]
(ii) Use your graph to estimate the value of
a
and of
b
.
[4]
3 (CIE 2012, w, paper 11, question 10)
The table shows values of the variables
x
and
y
.
x
∘
10
30
45
60
80
y
11.2
16
19.5
22.4
24.7
(i) Using the graph paper below, plot a suitable straight line graph to show that, for 10°
≤
x
≤
80°,
√
y
=
A
sin
x
+
B
,
where
A
and
B
are positive constants. [4]
(ii) Use your graph to find the value of
A
and of
B
.
[3]
(iii) Estimate the value of
y
when
x
=
50.
[2]
(iv) Estimate the value of
x
when
y
=
12.
[2]
4 (CIE 2012, w, paper 22, question 8)
Step-by-step explanation:
Which number is irrational?
Answer:
Irrational numbers are numbers that cannot be expressed as the ratio of two whole numbers. This is opposed to rational numbers, like 2, 7, one-fifth and -13/9, which can be, and are, expressed as the ratio of two whole numbers.
In 2011 Tufts University had 17,000 applicants. Each year the number of applicants increased 11% from the previous year.
How many applicants would you expect Tufts University to have in 2013? Round to the nearest whole
Find the new amount if the original amount is 74 degrees and the percent of decrease is 3%. Round to the nearest tenth. Show all work.
answer for a brainlist!!!
Answer:
71.78? (not sure)
Step-by-step explanation:
To find 3% of 74, 74*.03 = 2.22
Subtract 3%, 74-2.22 = 71.78
what is 4/5 divide 3/10
Answer:
4/5×10/3
4×2=8
1×3=3
8/3
The Parker Solar Probe is supposed to reach a top speed of 430,000 miles per hour. If it
were to fly at this speed for 43,800 hours (5 years), how many miles would it travel?
1.88*10^10 miles
Step-by-step explanation:
(430,000m/h)*(24 hours/ 1 day)*(365 days/ 1 year)*(5years)
Everything but miles cancels out,
430,000*(24*365*5) = 18,834,000,000miles
Or, 18.8 billion miles
Or, 1.88*10^(10) miles
Curved surface of a cone of slant height 20 cm and base radius 14 cm is ____. * 1 point 280 sq.cm 2080 sq.cm 1496 sq.cm 880 sq.cm
Answer:
880 cm²
Step-by-step explanation:
Given that :
Curved surface area of a cone : πrl
r = base Radius = 14 cm
l = slant height = 20 cm
Hence,
Curved surface area = π * 14 * 20
Curvwd surface are = π * 14 * 20
Curved surface area = 879.64594 cm²
Curved surface area = 880 cm²
can someone help me solve this?
Answer:
Try B
Step-by-step explanation:
That's what I would choose. Sorry if it's wrong.
x
For f(x)=0.01(2) , find the average rate of change from x=3 to x=8.
Option b. 0.496
Step-by-step explanation:we know that
f(x)=0.01(2^{x})
The average rate of change is equal to
\frac{f(b)-f(a)}{b-a}
where
a=3
b=8
f(a)=f(3)=0.01(2^{3})=0.08
f(b)=f(8)=0.01(2^{8})=2.56
Substitute
\frac{2.56-0.08}{8-3}
\frac{2.48}{5}
0.496
Simplify the expression to a+bi form:
(-6-10i)(2-3i)
Answer:
-42-2i
Step-by-step explanation:
Here are the first five terms of an arithmetic sequence
5 8 11 14 17
Find an expression for the nth term of this sequence:
A: 3n+2
B: 5n+3
C: add 3 each times
D: 3n
Mr. Rose randomly selects names to see who will give the first book report. There are 10 boys and 14 girls in his class. What is the probability that Mr. Rose will select a girl’s name?
Answer:
14/24 or 58%
Step-by-step explanation:
Use the translation (x, y) = (x + 5, y - 9) for questions a-e.
a. What is the image of A (-6, 3)?
b. What is the image of (4,8)?
c. What is the image of (5.-3)?
d. What is the image of A from #1, which would be called A"?
e. What is the pre-image of D' (12. 7)? (x - 5, y + 9)
Help please!!
Answer: it’s a I have the same question but I have to solve and they already gave me the answer
Step-by-step explanation:
answer to 9+5u+6u+1 ??
Answer:
.10 + 11u or 11u + 10
Step-by-step explanation:
combine like terms:
. 5u + 6u = 11u
. 9 + 1 = 10
Answer:
10+11u
Step-by-step explanation:
9+5u+6u+1
1. add the numbers that are the same. 9+1= 10
2.do the same thing to the other number(s) 5u+6u= 11u
3. add both you're answers together 10+11u
what ratio is equivalent to 9/8
Answer:
3:4
Step-by-step explanation:
divide into simplest form would be 3:4
Answer:
:)
Step-by-step explanation:
9 :8 18 :16 27: 24 36:32 45:40 54:48 63:56 72:64 81:72 90:80 99:88
a rectangular swimming pool is 15 feet long and x feet wide. What is the perimeter when x=12 feet
Answer: 54 square feet
Step-by-step explanation:
To find perimeter of a rectangle we must use the formula l+l+w+w=p where l and w represent width and length
Since we know length and width is x=12 just substitute so
15+15+12+12=54 so 54 is the perimeter
I NEED HELP ON THIS ONE TOO SAME THING ILL GIVE BRAINLIEST
Cassidy plans to paint the four walls of her bedroom. Each wall measures 12 feet by 10 feet. The window measures 2.5 feet by 4 feet. The door measures 3 feet by 7 feet. How many square feet will Cassidy paint if she does not paint the window and door? Sketch the figure below and show are calculations.
Answer:
449 sq ft
Step-by-step explanation:
What is the sum of the length of the longest meteor and the length of the shortest meteor?
Answer:
your answer will be option C
Step-by-step explanation:
hope it helps
have a great day
please help!!
A math test is worth 50 points, but there is extra credit. If you get 110% on the test, how many points is your score?
Answer:
55 points
Step-by-step explanation:
110% = 1.1
50 x 1.1 = 55
Answer:
55 points.
................
What is the triangle congruence postulate
Answer:
7.09 meters allpppppppp
Tell whether the angles are adjacent or vertical. Then find the value of x
Answer: The angles are vertical. The value of x=25
Step-by-step explanation:
4x-25=75
+25 +25
4x=100
/4 /4
x=25
I hope this help you! :)
A square has an area of 36 m2. The square is scaled in such a way that its area is increased by 28 m2. What is the approximate factor by which the length of the side of the square is increased?
Answer:
The length has increased by a factor of 4/3 or 1 1/3
Step-by-step explanation:
To find the initial length.: root 36.
Root 36 = 6
Then to find the increased version, first find the area: 36 + 28 = 64
Now, the length.
Root 64 = 8
To find the factor it increased by:
6x = 8
x = 8/6 = 4/3
The length has increased by a factor of 4/3 or 1 1/3
94.76 is 23% of what number?
Answer:
412
Step-by-step explanation:
i need more letters snsnsnsnsjjs
SOMEONE PLS HELP!!! ITS DUE !!!
Answer:
d we cannot compare it volume to bh cubic inches
Find tan(B) in the triangle
Answer:
Answer is B
Step-by-step explanation:
SohCahToa
[tex]tan = \frac{o}{a} [/tex]
Hypotenuse : Opposite the right angle. : 13
Opposite : Opposite the B angle : 5
Adjacent : The only side left : 12
we need opposite and adjacent, hypotenuse is irrelevant in this question.
Substitute the numbers
[tex]tan( \frac{5}{12} )[/tex]
20 Is 80 percent of what number?
A 21
В 22
С 24
D 25
Answer:
D. 25
25 percent * 80 =
(25:100)* 80 =
(25* 80):100 =
2000:100 = 20
How many right angles need to be put together to make:
a.) 360 degrees?
b.) 180 degrees?
C.) 270 degrees?
d.) A straight angle?
Answer:
A 180° angle is called a straight angle. Angles such as 270 degrees which are more than 180 but less than 360 degrees are called reflex angles. A 360° angle is called a complete angle.
Answer:
A. 4
B. 2
C. 3
D. 2
Step-by-step explanation:
Multiplication!!! Always remember that a right angle is 90 degrees, also a straight angle is 180 degrees..
Remember like this:
90 x 1 =90
90 x 2 =180
90 x 3 = 270
90 x 4 = 360
Find the difference. 40.574 - 8.09
Answer:
32.484
Step-by-step explanation:
Round: 3052.08
To the nearest hundredth
Answer:
3052.08
Step-by-step explanation:
since there is nothing next to the hundredths place its 3052.08, unless your taking about the hundreds place then it would be 3100.00.
help pls! ill mark best answer brainliest