Answer:
The percentage rate of decay per year is of 5.19%.
The function showing the mass of the sample remaining after t is [tex]A(t) = 520(0.9481)^t[/tex]
Step-by-step explanation:
Exponential equation of decay:
The exponential equation for the amount of a substance is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
Every 13 years, its mass decreases by half.
This means that [tex]A(13) = 0.5A(0)[/tex]. We use this to find r. So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]0.5A(0) = A(0)(1-r)^{13}[/tex]
[tex](1-r)^{13} = 0.5[/tex]
[tex]\sqrt[13]{(1-r)^{13}} = \sqrt[13]{0.5}[/tex]
[tex]1 - r = (0.5)^\frac{1}{13}[/tex]
[tex]1 - r = 0.9481[/tex]
[tex]r = 1 - 0.9481[/tex]
[tex]r = 0.0519[/tex]
The percentage rate of decay per year is of 5.19%.
The initial mass of a sample of Element X is 520 grams
This means that [tex]A(0) = 520[/tex]. So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]A(t) = 520(1-0.0519)^t[/tex]
[tex]A(t) = 520(0.9481)^t[/tex]
The function showing the mass of the sample remaining after t is [tex]A(t) = 520(0.9481)^t[/tex]
of 20 possible books you plan to take 5 with you on vacation. how many different collections of 5 books can you take?
Rosalina just started a new job. She has $500 in her bank account. Every week, she deposits $40 into her bank account. Write an expression to represent how much Rosalina has in her account at any given time using x to represent the number of weeks. please help!!!
Answer:
500 + (40x)
Step-by-step explanation:
she already has 500 in her bank account and there are multiple weeks. 40 dollars per week would be 40x since we don’t know how many weeks. then put it in an equation!
Answer:500 + 40w = m
Step-by-step explanation:
500 is the amount you had already then you add 40 per a week so you times that by w depending on the weeks and m is money overall.
this should be the answer
Hoped this helped
Use the figure below and 2-3 sentences to explain the following:
The side opposite angle E is side ____?
The side adjacent to angle E is side ____?
The hypotenuse is side ____?
Answer/Step-by-step explanation:
The triangle given is a right triangle
Reference angle = angle E
Thus:
The side that is opposite to angle E is side DF = e
The side that is adjacent to angle E is side EF = d
The hypotenuse side is the longest side that is opposite go the right angle of the triangle = DE = f
is this right. ......... I need help
Answer:
yes those all seem to be correct, A, B, and D are the ones that are correct
Help please ! Thank you
Answer:
yes, no, yes
Step-by-step explanation:
Answer:
yes i think so
Step-by-step explanation:
Approximent means close enough wich means if you think about it then yes but remmber tax
one.yes
two.no
three. yes bc its 14.95 but even with tax its a yes
hope i helped :)
My teacher wants me to answer questions 1-10 with work shown. It can be any kind of work as long as it shows how you got the answers.
Answer:
use the app photomath its free. and shows you all the steps
Step-by-step explanation:
Mr Baxter deposits 2,000 in an account that earns %5 simple interest how much is mr Baxter investment after 8 years?
Answer:
$2,800
Step-by-step explanation:
The formula for simple interest is I = PRT, where I is the interest (earned or paid), P is the principal amount invested/borrowed, R is the rate in decimal form, and T is the time in years.
I = (2000)(0.05)(8)
I = $800
Then we add that to the principal to get $2,800
---------------------------------
Joey made a deposit into an account that earns 6% simple interest. After 3 years, Joey earned $400. How much was Joey's initial deposit?
I = PRT
400 = P(0.06)(3)
400 = 0.18P
P = $2,222. 22
----------------------------------------
Peter is calculating the interest earned on a deposit of $275 in an account that earns 8% simple interest after 12 years. What is the ??? guessing interest earned?
I = PRT
I = (275)(0.08)(12)
I = $264
------------------------------------
Neil's grandmother has left him a small inheritance of $6,000. Neil would like to invest it at a rate of 5% interest. What is the simple???
I = PRT
I = (6000)(0.05)(T)
Please let me know if you have questions, or want to fill in the missing information on questions 3 & 4.
Help me with this please
when I did this it was C for me
At midnight, the temperature was 43.7°F. In the morning, the temperature was −3.6°F. Which statement describes the temperature?
Answer: At midnight, the temperature was 43.7 degrees above 0, and in the morning, it was 3.6 degrees below 0
HOPE THIS HELPS
Find the perimeter of the figure. If you need to use in your computation, approximate its value as 3.14.
Rectangle topped by a semicircle
12 m
10 m
a. 35.57 m
b. 65.40 m
C. 59.70 m
d. 49.70 m
Answer:
D
Step-by-step explanation:
A polygon has a perimeter of 36 inches. Each side is exactly 6 inches long. Which of the following figures does this describe?
A. Rectangle
B. Square
C. Regular Octagon
D. Regular hexagon
Shannon is creating a scale drawing of her classroom. If she is using the scale 1/2 inch = 1 foot and the room model is 10 inches by 15 inches, what are the dimensions of the actual room. Please help me!
Answer:
30 foot by 20 foot
Step-by-step explanation:
1 inch = 10 inch
2 foot = d foot
Cross products: 1xd=2x10
d=20foot
1 inch = 15 inch
2 foot = d foot
Cross products: 1xd=2x15
d=30foot
The sum of two consecutive numbers is 5. Find the equation representing
the same.
Answer:
Step-by-step explanation:
Let the smallest number = x
The next number will be x + 1
x + x + 1 = 5
2x + 1 = 5 This is likely the answer to the question although it could be the equation above.
GIVING OUT BRAINLIEST ANSWER HELP PLSSSS
Answer:
x = 63.43...
Step-by-step explanation:
Ok, so the angle x is the same measure as the bottom right angle of the triangle because the bottom of the triangle and the dashed line are parallel. Knowing this we can simply solve for the bottom right angle and it will be the same as angle x.
To do this we can set up and equation with tangent because we are working with the opposite and adjacent sides of the triangle.
[tex]Tan(x) = \frac{opposite}{adjacent} = \frac{50}{25} = 2[/tex]
[tex]Tan(x)=2\\[/tex]
Now to isolate the variable, we can simply use the cotangent or inverse tangent.
[tex]Tan^{-1}(Tan(x)) = Tan^{-1}(2)\\x = Tan^{-1}(2)\\x = 63.43...[/tex]
I Need Help!!! PLEASE HELP!!!!!!!!
Answer:
Maybe B?
Step-by-step explanation:
Select the value of x that makes the equation
“-3(x + 10) + 2x = 30” true.
1. 60
2. 0
3. 30
4. -60
5. -20
Answer:
-60
Step-by-step explanation:
-3(x + 10) + 2x = 30 becomes -3x - 30 + 2x = 30 after having performed the multiplication. Combining like terms, we get -x = 60, so that x must be -60 (Answer 4)
Refrigerators are able to transfer energy out of a substance. AT first the
substance is a gas but then it changes so first the molecules
A-vibrate in place but then the move apart from each other
B-are far apart but when energy leaves the particles move more closely around each
other
C-are moving close together very quickly and then very far apart suddenly
Answer:
C- are moving close together very quickly and then very far apart suddenly
Use technology to find the P-value for the hypothesis test described below.
The claim is that for a smartphone carrier's data speeds at airports, the mean is u = 19.00 Mbps. The sample size is n=23 and the test statistic is
t= - 1.939.
P-value = (Round to three decimal places as needed.)
Answer:
the p-value should be 0.175 sorry if it's wrong :))
What is the solution for the equation?
Negative five-halves = three-fourths + n
n = Negative StartFraction 13 over 4 EndFraction
n = negative start Fraction 7 over 4 EndFraction
n = StartFraction 7 over 4 EndFraction
n = StartFraction 13 over 4 EndFraction
Answer:
n=-13/4 because you subtract 3/4 from -5/2
Step-by-step explanation:
Answer:
its a
Step-by-step explanation:
did it on my test edge
Help will be super appreciated !
i will give brainliest plzz
Answer:
Need to see the questions lol
Answer:
Where's the Questions? Dude
HELP ASAP PLEASE NO LINKS
Question 1(Multiple Choice Worth 3 points)
(07.04)
The solution to 6x = 48 is x =
05
06
07
08
The sum of the two numbers is 40 and the difference is 6. What are the numbers?
ALEKS QUESTION
Answer:
17 + 23 = 40
23 - 17 = 6 the other person did it right.
What is y=4^-x as a percentage to the nearest tenth? Please help!
Answer: To convert a number into percent multiple it by 100 and then add the percent sign. These examples convert the numbers 23 and 158 to percents. To convert a number with a decimal into percent, multiply it by 100 and add the percent sign. These examples convert 0.4580; 0.0257; and 0.00458.
Hope this help
Step-by-step explanation:
Consider the line plot below.
What is the median of the data?
What is the mean?
I need help
Please ?!!!!!!
Answer:
High blood pressure
Step-by-step explanation:
Possible DEATH
Answer:
High blood pressure
Step-by-step explanation:
High blood pressure is dangerous
Mrs. Torchia picked 54 flowers, which represents 60% of all the flowers in her garden.How many flowers are left in Mrs. Torchia’s garden?
Eva is a hairdresser. Before her lunch break, she gave 4 haircuts and colored the hair of 4 clients in 376 minutes. After lunch, she gave 2 haircuts and colored the hair of 4 clients in 336 minutes. How long does it take for Eva to perform each type of service, assuming the amount of time doesn't vary from client to client?
Step-by-step explanation:
ratio 6:8
376+336=712
6+8=14
712/14=50.86
haircut= 50.86*6=305.16
colour= 50.86*8=406.88
i hope this helps
Quick help what is 4 2/9 divided by 1/3
Answer:
[tex]12\frac{2}{3}[/tex]
Step-by-step explanation:
• plot the two points
• draw the hypotenuse
• complete the triangle
• use the Pythagorean theorem to find the distance between the
given points
• show all your work
• leave answers in simplest radical form.
1. (3, 4), (-2, 6)
У
61
.
2
10
8 9 10
9514 1404 393
Answer:
√29
Step-by-step explanation:
We can call the given points A(3, 4) and B(-2, 6).
The right triangle with segment AB as a hypotenuse can best be drawn along grid lines. Then the vertical leg is the difference of y-coordinates: 6-4 = 2, and the horizontal leg is the difference of x-coordinates: 3 -(-2) = 5.
The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the legs.
AB² = 2² + 5²
AB² = 4 + 25 = 29
Taking the square root, we find the length of the line segment between the points to be ...
AB = √29