The number of carbon atoms in a fossil is given by the function, = 5,100(0.95),wherexrepresentsthenumberofyearssincebeing discovered.
Answers
Answer:
Percent of change each year = 5%
Step-by-step explanation:
P.S - The exact question is -
Given - The number of carbon atoms in a fossil is given by the function,
y (x)= [tex]5100(0.95)^{x}[/tex], where x represents the number of years since
being discovered.
To find - What is the percent of change each year? Explain how you arrived
at your answer
Proof -
Given that, the number of carbon atoms in a fossil is y(x) = [tex]5100(0.95)^{x}[/tex]
Initially, the number of fossils be
y(0) = [tex]5100(0.95)^{0}[/tex] = 5100
After 1 year, The number of fossils be
y(1) = [tex]5100(0.95)^{1}[/tex] = 5100(0.95) = 4845
Now,
Change in 1 year = y(0) - y(1) = 5100 - 4845 = 255
Now,
Percent of chance = [tex]\frac{255}{5100}[/tex] × 100%
= 0.05 × 100%
= 5%
⇒Percent of chance = 5%
∴ we get
Percent of change each year = 5%
Related Questions
If 8 bottles of cold drink is Rs.480. Then find a) What will be the cost of 5 bottles of cold drink? B) How many bottles of cold drink can be purchased for Rs.640.
Answers
Answer:
(A) 300
(B) 11
Step-by-step explanation:
8 bottles of drink cost 480
Therefore one bottle will cost
= 480/8
= 60
(A) 5 bottles of cold drink will cost
= 60×5
= Rs300
(B) The bottles of drink that can be purchaseed at Rs640
= 640/60
= 11 bottles
What is x and y if -4x+y=11
Answers
Answer:
See the expression below
Step-by-step explanation:
Given data
We have the expression
-4x+y=11-----------1
from 1 make y subject of formula we have
y=100+4x
Make x subject of the formula we have
-4x=11-y
divide both sides by -4
x=(11-y)/-4
Properties of Midsegments. Please help ASAP and explain! TYSM!
Answers
Answer:
It is always parallel to the third side, and the length of the midsegment is half the length of the third side.
Step-by-step explanation:
If a fair die is rolled 6 times, what is the probability, to the nearest thousandth, of getting exactly 1 six?
ANSWER IS 0.402
Answers
What is the definition of right angles and straight angles?
Answers
Answer:
Right Angle- an angle of 90°, as in a corner of a square or at the intersection of two perpendicular straight lines.
Straight Angle-A straight angle is 180 degrees. This is a straight angle.
Step-by-step explanation:
180 is a straight angle and 90 is a Right angle
if 36/5x=3/5 find x
Answers
Answer:
X= 12
Step-by-step explanation:
36/5x =3/5(cross multiplication)
180=15x
divide by 15 both sides
X = 12
If the shaded part of this chocolate represents $21.00 and the unshaded part represents $5.00 each, what is the value of the whole chocolate
Answers
Answer:
$26.00
ad the picture Step-by-step explanation: it would be better if i had the pictrue but t ook the unshaded plus the shaded and got $26.00
Answer:
The correct answer is $26.00
Step-by-step explanation:
$21.00
+$ 5.00
________
$26.00
Honestly just helps ASAP
Answers
Answer and Step-by-step explanation:
RO = OW = 5.1
BRW + ORW = BRO = OWB
57 + 42 = 99 = OWB
I'm not entirely sure if these are correct, if its not, then im sorry.
#teamtrees #PAW (Plant And Water)
For this cylinder the radius r = 6.8 inches and the height L = 14.2 inches. Which is the BEST estimate for the surface area?
Answers
Answer:
923 in^2
Step-by-step explanation:
I took the test
A right triangle has side lengths a, b, and c as shown below.
Use these lengths to find tanx, cosx, and sin x.
Answers
Step-by-step explanation:
step 1. tan x = opposite/adjacent = c/b
step 2. cos x = adjacent/hypotenuse = b/a
step 3. sin x = opposite/hypotenuse = c/a
Which of the following properties is always true for a parallelogram? *
Diagonals bisect each other.
Diagonals are perpendicular.
Diagonals are congruent.
Diagonals biscect opposite angles.
Answers
Answer:
Diagonals bisect each other
Express 18 and 24 as product of their prime factors
Answers
Answer:
6
cuz 6*3=18 and 6*4=24
Answer:
18: 2x9 3x6
24: 12x2 6x4 8x3
So 2
Step-by-step explanation:
Is that what you mean?
Just look at the picture please. I don't want to type all that, lol. Only answer if you know! Thanks have a wonderful day! Remember your! You are appreciated! Bye ; D
Answers
What term can you add to 5/6x -4 to make it equivalent to 1/2x - 4?
First I see the constants (-4) are equal to each other, so I don’t need to add anything to them.
5/6x and 1/2x are different though, so I know I need to add something, let’s call it y, to 5/6x to make it equal 1/2x
To add fractions, they have to have the same denominator. 1/2x becomes 3/6x.
5/6x + y = 3/6x
Subtract 5/6x from both sides
y = -2/6x
-2/6x can be simplified to -1/3x, so -1/3x is the answer.
Help me pls. this is due tonight
Answers
Answer:
8
Step-by-step explanation:
The formula to find the surface area of a rectangular prism is SA = 2ab + 2bc + 2ac, where a, b, and c all equal one side of the prism.
To solve this, plug in the value for surface area and the values of the known sides. let’s say a = 3cm and b =5cm and c = y cm. It doesn’t matter with value gets assigned to which letter.
SA = 2ab + 2bc + 2ac
158 = 2(3)(5) + 2(5)(y) + 2(3)(y)
158 = 30 + 10y + 6y
158 = 30 + 16y
128 = 16y
y = 8 cm
Shelby's gross pay is
$614.04 and her net pay is $460.05. What
percent of her gross pay is take-home pay?
Answers
First set up the the equation 460.05/614.04
That gives you .749218
Move the decimal back twice because of the equation 74.9218
The answer is 74.9218%
Hope this helps!
Brianna has $37 in her checking account. She deposits $150. Then she writes a check for $61. How many dollars does she have in her checking account now?
Answers
Answer:
$126
Step-by-step explanation:
A deposit adds money into your checking account, so add $150 to $37.
150+37=187
If you write a check, you take money out, so subtract $61 from $187
187-61=126
Your final answer is $126. Hope this helps!
Two friends leave school at the same time, Sarah is heading due north and Beth is heading due east. One hour later they are
5 miles apart. If Sarah had traveled 4 miles from the school, how many miles had Beth traveled?
OA. 2 miles
ОВ.
1 mile
OC. 3 miles
Answers
Answer:
Step-by-step explanation:
If you picture this scene in your head, you will get a simple 3x4x5 right triangle. 4 times 2 is 8, 5 times 2 is 10, so Sarah should, by now, have traveled 3 times 2 miles.
Final answer: Sarah has traveled 6 miles after an hour.
Hope this helped! :)
Helping tip: The reason it is not 4 is because they are not traveling west and east away from each other. They are traveling north and east, so they are moving in two directions to form a right triangle, and the hypotenuse would be 10 (miles). The side, or distance, that Beth has traveled is 8. So as this is a typical variation of a 3x4x5 triangle, Sarah will have traveled 6 miles.
10 is 6% of what number
Answers
Answer:
166.67
Step-by-step explanation:
We have, 6% × x = 10 or, 6/100 × x = 10
Multiplying both sides by 100 and dividing both sides by 6,
we have x = 10 × 100/6
x = 166.67
If you are using a calculator, simply enter 10 × 100 ÷ 6, which will give you the answer.
Hope this helps
Please help me with this
Answers
Given:
The equation is:
[tex]3^x\times 9=3^{2n-1}[/tex]
To find:
The value of n in terms of x.
Solution:
We have,
[tex]3^x\times 9=3^{2n-1}[/tex]
It can be written as
[tex]3^x\times 3^2=3^{2n-1}[/tex]
[tex]3^{x+2}=3^{2n-1}[/tex] [tex][\because a^ma^n=a^{m+n}][/tex]
On comparing the exponents, we get
[tex]x+2=2n-1[/tex]
Add 1 on both sides.
[tex]x+2+1=2n-1+1[/tex]
[tex]x+3=2n[/tex]
Divide both sides by 2.
[tex]\dfrac{x+3}{2}=n[/tex]
Therefore, the value of n is terms of x is [tex]n=\dfrac{x+3}{2}[/tex].
Singers enrrique kathy rihanna and bruno are preforming a charity concert for world hunger and their order of appearance will be chosen randomly the outcomes in the sample will be represented as string offers
Answers
Answer:
The answer is "24 elements"
Step-by-step explanation:
Please find the complete question in the attached file.
Given that:
[tex]\to Enrique=E\\\\ \to Katie=K \\\\\to Rihanna=R \\\\\to Bruno=B\\\\[/tex]
The element in space are:
[tex]EKRB , ERKB , ERBK , EKBR , EBKR , EBRK , KERB , KEBR , KREB , KRBE ,\\\\ KBRE , KBER , RKEB , RKBE , RBKE , RBEK , REBK , REKB , BEKR , BERK ,\\\\ BREK ,BRKE , BKRE , BKER[/tex]
Helpppppppppppppppp plzzzz
Answers
Answer:
1. a) x b)1
2. a)x^3 b) 3
3. a) 3x^7 b) 7
Step-by-step explanation:
On Monday, a museum had 350 visitors. On Tuesday, it had 680 visitors. Estimate the percent change in the number of visitors to the museum. Use pencil and paper. Estimate how many people would have to visit the museum on Wednesday to have the same estimated percent change between Tuesday and Wednesday as between Monday and Tuesday. Explain your answer.
Answers
Answer: See explanation
Step-by-step explanation:
From the question, we are informed that On Monday, a museum had 350 visitors while on Tuesday, it had 680 visitors. The percent change in the number of visitors to the museum will then be:
= (680 - 350)/350 × 100
= 330/350 × 100
= 94.29%
The number of people that'll have to visit on Wednesday to have the same estimated percent change will be:
= 680 + (94.29% × 680)
= 680 + (0.9429 × 680)
= 680 + 641
= 1321
Paycheck Pay Period Annual Salary
$1,300 monthly $
$1,000 biweekly $
$550 weekly $
$800 semimonthly $
Answers
Answer:
id like to get paid weekly
Step-by-step explanation:
Answer:
i dont get it
Step-by-step explanation:
If a shirt is on sale for $9 because it was 75% off, then what was the original price of the shirt?
Answers
Answer:
24$
Step-by-step explanation:
9 / 75% (or .75 it doesn't matter which one) = 12
12 + 12 = 24$
hope this helps...
Zoey inflated 24 balloons for the high school dance. If Zoey inflated 15% of the total number of balloons at the dance, how many balloons are there total?
Answers
Answer:
Total number of balloons= 160
Step-by-step explanation:
Giving the following information:
Number of balloons inflated by Zoey= 24
Proportion of balloons inflated= 15%
To calculate the total number of balloons, we need to use the following formula:
Total number of balloons = Number of balloons inflated by Zoey / Proportion of ballons inflated
Total number of balloons= 24 / 0.15
Total number of balloons= 160
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Answers
Answer:
You are just begging too much
Step-by-step explanation:
If I have 7/10 and 645/1000 how many would I need to get to 10/10 and 1000/1000
Answers
Answer:
3/10 and 355/1000
Step-by-step explanation:
Which of the following options have the same value as 72% of 50
A. 72 . 5/100
B. 72 . 50
C. 72/100 . 50
D. 0.72 . 50
E. 72/100 . 100
Answers
Answer:
c and d are the correct answers
Which item in nature does NOT follow the Fibonacci Sequence *
Pinecone
Artichoke
Nautilus Shell
Pineapple
Answers
Answer:
all follow the sequence
Step-by-step explanation:
Pinecone and Pineapple - Scales and bracts are modified leaves, and the spiral arrangements in pine cones and pineapples reflect the spiral growth habit of stems. To confirm this, bring in a leafless stem from some tree or shrub and look at its buds, where leaves were attached.
Artichoke - The spiral of an artichokes leaves can be described by the Fibonacci Sequence. This sequence is a simple mathematical pattern where each successive number in the sequence is equal to the sum of the two preceding numbers, beginning with 0 and 1.
Nautilus shell - Each number is the sum of the two previous numbers. An approximation of a logarithmic spiral, created by drawing circular arcs connecting the opposite corners of squares in the Fibonacci tiling; this one uses squares of sizes 1, 1, 2, 3, 5, 8, 13, 21, and 34.
Graph: y = (x+3)²- 4
Answers
x-int=-5, y-int=5 and vertex is at (-3,-3)