Answer:
We know that the original price of the bike was $8,000.
After one year, the price of the bike decays a 12%, then the new price of the bike is:
P(1) = $8,000*( 1 - 12%/100%) = $8,000*(1 - 0.12)
After another year, the price again decays a 12%, the new price will be:
P(2) = $8,000*(1 - 0.12)*(1 - 12%/100%) = $8,000*(1 - 0.12)*(1 - 0.12) = $8,000*(1 - 0.12)^2
We already can see the pattern here, after t years, the price of the bike will be:
P(t) = $8,000*(1 - 0.12)^t
With this equation, we can find the price of the bike after 5 years, where we only need to replace t by 5
We will get:
P(5) = $8,000*(1 - 0.12)^5 = $4,221.9
The price of the bike after 5 years is $4,221.9.
Now we want two equations to represent this, so we need another.
This is kinda trivial, because there is only one equation that represents this, so we only can rewrite our equation in another form.
We could say that the price of the bike after t years is:
P(t) = $8,000*(0.88)^t
or something like:
P(t) = $7040*(0.88)^(t - 1)
Where i multiplied the initial value by 0.88, and then reduced the exponent by one.
If n+1 integers are chosen from the set
1,2,3,…,2n
,where n is a positive integer, must at least one of them be even? Why?
Answer:
Pigeonhole Principle
Step-by-step explanation:
From series {1,2......2n} ; we need to select 'n + 1' integers.
Even integers series from above series = {2,4,6..........2(n-1), 2n}
Odd integers series from above series = {1,3,5........2(n-2), 2n-1}
So, we can choose only n odd integers from the series. Hence, if we choose n+1 integers, atleast one of them have to be even integer.
Eg : n = 5, Series = (1,2,3,4,5,6,7,8,9,10}, Odd series = {1,3,5,7,9}, Even series = {2,4,6,8,10}. If we choose 5 +1 ie 6 integers, there must be one even integer, as there are only 5 total odd integers in series.what is eighty one raised to the - 3/4 power
Answer:
27
Step-by-step explanation:
Need help... Fast! will give brainiest
What is the solution set of x/4 < 9/x ?
Answer:
Option (4)
Step-by-step explanation:
Given inequality is,
[tex]\frac{x}{4}\leq \frac{9}{x}[/tex]
[tex]\frac{x}{4}-\frac{9}{x}\leq 0[/tex]
[tex]\frac{x^{2}-36}{4x}\leq 0[/tex]
x ≥ 0 [For x = 0, fraction is not defined]
(x - 6)(x + 6) ≤ 0
x - 6 ≤ 0
x ≤ 6
Or
x + 6 ≤ 0
x ≤ -6
Therefore, solution set is (-∞, -6] ∪ (0, 6]
By plotting the solution area on a number line,
Option (4) will be the answer.
the ratio of boys to girls in the class is 3:4.If the girls are 16
How many boys are in the class
Answer:
12 espero ter
ajudado
isso significa que há 3/4 de meninos e meninas
. Queremos encontrar 3/4 de 16
, podemos fazer isso multiplicando 16 por 3/4
3/4 * 16 = 48/4
48/4 = 12
Existem 12 Rapazes
Step-by-step explanation:
Use the Pythagorean Theorem, and the properties of right triangles to model an equation that fits the problem. One of the cables that anchors the center of the London Eye Ferris wheel to the ground must be replaced. The center of the Ferris wheel is 69.5 meters above the ground, and the second anchor on the ground is 23 meters from the base of the Ferris wheel. Approximately how long is the cable, and what is the angle of elevation (from ground up to the center of the Ferris wheel)
Answer:
73.21 m
71.68°
Step-by-step explanation:
Like the question has stated, we're to solve this using Pythagoras theorem.
Pythagoras theorem states that
opp² + adj² = hyp²
From the question, we're asked to find the hypotenuse, being given the opposite side and the adjacent. The opposite side is the center of the Ferris wheel above the ground, and that is 69.5 m. While the adjacent is the distance of the second anchor.
Succinctly put, we have
69.5² + 23² = hyp²
4830.25 + 529 = hyp²
hyp² = 5359.25
hyp = √5359.25
hyp = 73.21 meters.
Therefore, the length of the cable is 73.21 meters long.
To get the angle, we use the formula
Sin Φ = opp/hyp
Sin Φ = 69.5 / 73.21
Sin Φ = 0.9493
Φ = sin^-1 0.9493
Φ = 71.68°
Therefore, the angle of elevation to the center of the Ferris wheel is 71.68°
|120+x| , if x < −120 will award brainliest
Answer:
x < 0
Step-by-step explanation:
|120+x| , if x < −120
1. Set |120+x| = 0
2. x < 0
Answer:
|120+x| x<-120 so, -121
|120+(-121)|
l-1l
=1
Answer
v=4/3*π*r^3
=4/3*π*4^3
=
Answer:
=4/3(π)*64
=268.08
Step-by-step explanation:
find the surface area of the triangular prism?.... and 31 is not the answer
Answer:
216 sq m
Step-by-step explanation:
Surface area of triangular prism = bh + (s1 + s2 + s3)*L
Where,
b = 6 m
h = 8 m
s1 = 10 m
s2 = 8 m
s3 = 6 m
L = 7 m
Plug in the values
Surface area = 6*8 + (10 + 8 + 6)*7
Surface Area = 48 + 24*7 = 216 m²
Which equation is another way to show
5/4?
A. 1/5x1/4=
B. 4x1/5=
C. 4 divided by 5=
D. 5 divided by 4=
E. 5+1/4=
Answer:
D
Step-by-step explanation:
5 divided by 4 is just 5/4 written out
Jasmine is playing hide-and-seek with Tucker and Michelle. Tucker is hiding 15 meters south of Jasmine, and Michelle is hiding 8 meters east of Tucker. How far apart are Jasmine and Michelle?
Answer:
17 meters
Step-by-step explanation:
According to the Pythagorean Theorem, we can know that the right triangle's a side is Michelle to Tucker (8 meters), and the b side is Jasmine to Tucker (15 meters), and the c side is Jasmine to Michelle. The Pythagorean Theorem equation, the side length of the c side of a right triangle is the length of a side squared plus b side squared and squared root (a^2+b^2=c^2), and so 8^2+15^2=289, and 289 square root is 17, we can know that the distance between Jasmine to Michelle is 17 meters.
Write an equation to represent the following statement. 29 is 6 more than k. Solve for k.
Answer:
k+6=29, then k=23
Step-by-step explanation:
Does anyone know how to do this? I really need help, I don't understand.
Answer:
I'm assuming you are looking for the amount of possible outcomes
1. 10 possible outcomes
2. 15 possible outcomes
Step-by-step explanation:
When you first start solving these problems the easiest thing to do is create a diagram of sorts to list all of your possible outcomes. For the first question the coin will either land on heads or tails and the spinner will land on the numbers 1, 2, 3, 4, or 5. Therefore the possible outcomes are H1, H2, H3, H4, H5, T1, T2, T3, T4, or T5. Add them up to get 10 possible outcomes. For the second question you will either pick 1, 2, 3, 4, or 5 and the colors red, white, or blue. Listing out all the possibilities gives you 1R, 2R, 3R, 4R, 5R, 1W, 2W, 3W, 4W, 5W,1B, 2B, 3B, 4B, or 5B. Add them up to get 15 possible outcomes.
Alternatively
For the first question you flip a coin thus you have a 1/2 chance for landing on either, then you spin the wheel where you have a 1/5 chance to land on any of the numbers. Multiply these values together you have a 1/10 chance, therefore there are 10 possible outcomes.
For the second question you have a 1/5 chance for the number and a 1/3 chance for the color. Multiply to get 1/15, therefore you have 15 possible outcomes.
help me out
........1
Answer: -13
Step-by-step explanation:
2-(3^2)+4-3-7 = -13
Answer:
17
Step-by-step explanation:
2x²+4x-7
-6²+(-12-7)
36+(-19)
17
Does the fizzy orange on Saturday taste the same as Friday’s fizzy orange, or different? If you think it tastes the same, explain how you can tell. If you think it tastes different, does it taste more or less orangey? Explain how you know.
How many liters of water will each container have if the total amount is distributed equally among the 4 containers?
Answer:
4/4
Step-by-step explanation:
Which graph shows a dilation?
Answer:
that one
Step-by-step explanation:
What is the area of the given figure in square centimeters?
A.15 3/4
B.21 3/8
C.27
D.39 3/8
Answer:?
Step-by-step explanation:
1% of what number is 10?
Answe
hope it helps.........
Answer:
1000
Step-by-step explanation:
1% of 1000 is ten. if ten is 1%, if you multiply times a hundred, 1000 is equivalent to 100%
need help plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
D
Step-by-step explanation:
Answer:
C) added to the book balance
Step-by-step explanation:
It was never subtracted from the bank balance
Can you please do number 4?
Answer:
64
Step-by-step explanation:
the parallelogram height is 1 and 1/2 times the base length and the base length is 6
which expression means “ multiply 3 by the sum of m and p “
Answer:
3m+3p
Step-by-step explanation:
Sum of m and p is expressed as;
m + p (sum means addition)
If 3 is multiplied by the sum, this is expressed as;
3(m+p)
Expand
3m + 3p
Hence the required expression is 3m+3p
Explain how to use division to find an
equivalent fraction for 9/12
Answer:
3/4
Step-by-step explanation:
You can simplify it by looking for what divides into both numbers. The lowest possible number is 3 because it can go into both 9 and 12.
9/3=3
12/3=4
3/4
So we know that 3/4 is equivalent to 9/12, because 3×12=36 and 4×9=36. A simple way to look at how to check for equivalent fractions is to do what is called “cross-multiply”, which means multiple the numerator of one fraction by the denominator of the other fraction. Then do the same thing in reverse.
please try to answer!!
Answer:
A
Step-by-step explanation:
Write each statement as a decimal to two decimal places.
$6.00 to 95 cents =
3 hours to 35 minutes =
42 inches to 2 feet =
Step-by-step explanation:
The above given statements can be written as decimals by first writing both quantities in a statement in the same unit.
1. $6.00 to 95 cents:
This is same as $6.00 : 95 cents = \frac{6.00}{95}956.00
Convert $6 .00 to cents to make both quantities be in the same unit.
$1 = 100 cents
$6.00 = 6*100 = 600 cents
\frac{600}{95} = 6.3295600=6.32 (to 2 d.p)
2. 3 hours to 35 minutes:
Convert 3 hours to 35 mins
1 hr = 60 mins
3 hrs = 3*60 = 180 mins
180mins : 35 mins = \frac{180}{35} = 5.14180mins:35mins=35180=5.14 (2 d.p)
3. 42 inches to 2 feet:
Convert 2 ft to inches
1 ft = 12 inches
2ft = 2*12 = 24 inches
42 in:24 in = \frac{42}{24} = 1.7542in:24in=2442=1.75
what is the temperature halfway between 20 degrees and -10 degrees?
Answer:
The temperature halfway is -5 degrees farenheit/celcious
Step-by-step explanation:
the difference is 30 degrees
30 / 2 = 15
20 - 15 = -5
-10 + 15 = -5
Hope I helped! Plz mark as brainliest! Have a nice day/night!!! :D
-Lil G
The number of oil tankers arriving at a refinery each day follows a Poisson(3)distribution. Current port facilities can service only four tankers a day so thatif more than four tankers arrive in a day, the additional tankers must be sentto another port. LetXdenote the number of tankersarrivingat the port andletYbe the random variable corresponding to the number of tankersserviceddaily.(a) What is the probability that no tankers arrive at the port? (2 pts)(b) What is the PMF ofY? (4 pts)
Answer please eeeeeeee will give brainliest
Answer:
Pablo has 6 fewer vacation days than Sandra. If s represents the number of vacation days sandra has, how many vacation days does Pablo have?
Solve the equation n/10 + 3 = 11
Answer:
n = 80
Hope this helps(:
Step-by-step explanation:
Answer:
8 times 10 minius 26 plus 6 -10 plus 30 is ur anwser lol
Step-by-step explanation:
For each figure, choose the shape of the cross section formed.
Answer:
A cross section is the shape we get when cutting straight through an object. The cross section of this object is a triangle