One hundred grams of radium are stored in a container. The amount RR (in grams) of radium present after tt years can be modeled by R=100e−0.00043tR=100e−0.00043t. After how many years will only 5 grams of radium be present? Round your answer to the nearest whole year.

Answers

Answer 1

Answer:

6967 years

Step-by-step explanation:

Given the exponential function :

R=100e−0.00043t

Time = t in years

R = final amount

Number of years in which only 5 grams of radium will be present :

R = 5

Plugging into our formula :

5 = 100 * e^−0.00043t

5 / 100 = e^−0.00043t

0.05 = e^−0.00043t

Take the In of both sides

−2.995732 = - 0.00043t

t = −2.995732 / - 0.00043t

t = 6966.819

t = 6966.819 years

t = about 6967 years


Related Questions

06:20+35min=

06:23+ _ min=07:00

Answers

Answer:

27 min i think

Step-by-step explanation:

Answer: 9:35

Step-by-step explanation:

i think that's the right answer

3)
х
45°
11
A) 10.8
C) 11.0
B) 11.6
D) 8.8

Answers

Answer:

AAO 22.902 A 45 12.632 13,939 945 559,302 5A , 480 1.17 6.044 36,491 ... 12.1 F 13.2 12.1 F 13.2 12.1 E 13.2 12.1 F 12.9 12.5 8.6 8.3 F 10.0 9.7 8.6 B.3 E 11.6 ... 10.5 D 11.8 10.5 C 11.8 10.5 D 11.8 10.5 с 11.8 10.5 U 11.8 10.5 D 13.3 12.7 ... 10.1 12.1 11.4 8.8 A.3 13.3 12.9 13.3 12.5 13.3 12.5 13.3 12.5 11.0 10.4 13.3 ...

HELO PLS DUE IN 40 MINS

In the diagram below, it is given that point Ris the midpoint of PQ. Which of the following can be concluded
based on this given?

Answers

Answer:

Sheesh good luck

Step-by-step explanation:

.........

Answer:

3

Step-by-step explanation:

MN is not equal to NR, because MN is too long

It doesn't tell us R is the midpoint of MN, so for all we know MR and RN are completely different measurements.

PR and QR must be equivalent if R is the midpoint of the two.

In the equation below, what value of bresults in an
equation with infinitely many solutions?
3(bx - 1) = -3 + 12x

Answers

Step-by-step explanation:

3bx-3 = -3+12x

3bx=-3+3+12x

3bx=12x

3bx/3=12x/3

bx=4x

bx/x=4x/x

b=4

Sydnie scored 74 points in Round Two of a talent competition. This is 7 points less than three times her score in Round One. Which equation should be used to find Sydnie’s score in Round One?

Answers

the correct answer would be, 74+7x3 which equals 95. her score in round 1 was 95 points.

What is the correct decimal form of 16 4/5?

Answers

Answer:

16.8

Step-by-step explanation:

16 + 4/5

16+ 0.8

16.8

Answer:

84/5

Step-by-step explanation:

How much money do you need to invest at 2.8% compounded daily in order to have $25,500 at the end of 8 years?​

Answers

Answer:

$20,382.71

Step-by-step explanation:

We have the following equation for compounding interest

[tex]FV=PV(1+\frac{i}{n})^{(n*t)}\\\\25500=x(1+\frac{.028}{365})^{365*8}\\25500=1.251x\\20382.711[/tex]

Find the area of the kite. ​please help

Answers

It would just be 19*38 divided by two, 361.

That’s the simplest way of doing it, but you basically have to find the areas of the triangles, just doing base times height divided by two, and add all the triangles together.

If 7 aliens have cats and 7 aliens don't what is the square root of the sun
a. purple because the earth is round
b. Germany because Hershey's are brown
c. 9 because pencils are to write with
d. 11

Answers

B it’s B not doubt about it

If 18 oz of laundry detergent costs $14.94. What is the unit rate?

Answers

Answer: $2.45

Step-by-step explanation:

Which of these equations of lines are in the form y =Mx+c?​

Answers

Answer:

y-axis is y=mx+c

Step-by-step explanation:

the general equation of the straight line is y is equals to MX + c where m is the gradient and y is equals to c is value where the line cause the y-axis this number sea is called in correct the axis y axis the equation of the straight line with branded m and n parade see on the axis y MX + c

Which of the following is an rational number 0.3232323232...​

Answers

Answer:

0.3232323232... is an irrational number

Step-by-step explanation:

An irrational number is any number that cannot be written as a fraction of whole numbers.

Sophia sells makeup brushes for b dollars. For
her holiday sale, she marks them down by 25%.
Which expression represents the sale price?

A- 1.25
B- 1.75
C-0.25
D- None of the above

Answers

C.0.25
Meaning 25% 25 divide one hundred
Therefore answer is 0.25

44 points! Brainliest for correct answer!

Margie has 5 times as many nickels as quarters. She has a total of $2.00.

Part (a) Write a system of equations to represent the situation. Let n represent the number of nickels and q represent the number of quarters.

Part (b) Solve the system you wrote in part (a). Show your work.

Part (c) Interpret your solution in the context of the problem.


P.S. Sorry for asking so many questions, I swear this will be the last one for a while.

The only thing I really need help with is Part A, writing the equations.

Answers

Answer:

5n + 25q = 200 - - - (1)

n = 5q - - - (2)

q = 40

n = 5(40) = 200

Step-by-step explanation:

Number of Nickels = n

Number of Quarters = q

$2.00 = $2 * 100 = 200 cent

Nickel = 5 cent

Quarter = 25 cent

5n + 25q = 200 - - - (1)

n = 5q - - - (2)

5(5q) + 25q = 200

25q + 25q = 200

50q = 200

q = 200/5

q = 40

n = 5(40) = 200

The sum of two numbers= 9, the sum of two times the larger number and the smaller one is 15. Find the two numbers.

Answers

The two numbers are 6 and 3

6+3=9

6(2)+3=15

What is the radical form of 8½

Answers

Convert to radical form using the formula
a
x
n
=
n

a
x
a
x
n
=
a
x
n
.
Exact Form:

8


Marissa climbs a vertical ladder to go down a slide. The slide makes a 25° angle with
the ground. If the ladder is 12 ft tall, what is the length of the slide?

Answers

Answer:

28.39 ft

Step-by-step explanation:

The ladder is the vertical leg and the slide is the hypotenuse of the triangle formed.

The angle opposite the ladder is 25°, slide has the length of x.

sin 25° = opposite/hypotenusesin 25° = 12/xx = 12/sin 25°x = 28.39 ft

What is the slope line?

Answers

First look at when x is zero what is why we see that y is three and that’s you’re y intercept
Now find two places on the line and count the difference up then to the side

The slope is y= -2/3x + 3

Hope this helps

5x^2-26x-24=0
what does x equal?​

Answers

Answer:

x=4

x=6/5

Step-by-step explanation:

5x^2-26x-24=0

(x-4)(5x-6)

HELP I NEED HELP ASAP

Answers

Answer:

A. 3n³

Step-by-step explanation:

base (b) = 3n²

height (h) = 2n

Area of triangle

= 1/2 * b * h

= 1/2 * 3n² * 2n

= 3n³

How do you find the area of a triangle? How is it similar to finding the area of a rectangle and how is it different?

Answers

Answer: You find the area by multiplying all the sides up. It is similar because a triangle needs to be times by bxh and so does a rectangle. They're different because they are different shapes

Step-by-step explanation:

What is 180% as a decimal

Answers

Answer:

1.80 this is the correct answer

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{What is \underline{1\bf{80\% as a decimal?}}}[/tex]

[tex]\large\text{GUIDE for UNDERSTANDING percentages}\downarrow\\\\\bullet \large\text{ When you hear the word \underline{PERcent} think of its out of 100}\huge\checkmark \\\large\text{(MAINLY over 100)}\\\\\bullet\large\text{ Basic solving: Get rid of your percentage symbol (\%) and DIVIDE}\\\large\text{your given number by 100}[/tex]

[tex]\large\text{Equation: }\bold{ \180\% = \dfrac{180}{100}}\\\\\large\text{We are going to focus on the }\bold{\dfrac{180}{100}}\large\text{ because it helps us solve for your}\\\large\text{decimal (also known as your result to this question)}\\\\\bold{\dfrac{180}{100}\rightarrow 180\div 100 \rightarrow your \underline{\ answer}}\\\\\bold{= 180\div100 \rightarrow 1.8}\\\\\large\text{180\% = \bf{1.8}}\\\\\boxed{\boxed{\large\text{Therefore, your answer is: \bf{1.8}}}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

area of a isosceles triangle

i will make as brainliest whoever answers

Answers

Answer:

145cm is the area I believe.

Help please!! I will report random answers

Answers

Answer:

15) m∠A = 21°, m∠B = 125°, m∠C = 34°

16) m∠J = 48°, m∠K = 57°, m∠L = 75°

Explanation:

15) m∠A is thirteen less than m∠C, so if you were to translate that into numerical terms, it would be (x-13). m∠B is eleven less than four times m∠C, so that would be (4x-11). Because the angles of a triangle sum up to 180°, the equation for this scenario would be (x-13)+(4x-11)+x=180. (X is a variable for m∠C. Add all the like terms to get 6x-24=180. Add 24 to both sides to get 6x=204. Divide 6 on both sides to get x=34. Now that we know m∠C, we can substitute 34 into x to get m∠A as 21° and m∠B as 125°.

16) m∠K is 9 more than m∠J, which is (x+9). m∠L is 21 less than twice m∠J, which is (2x-21). Again, a triangle's angles sum up to 180°, so the equation would be (x+9)+(2x-21)+x=180. Add the like terms to get 4x+(-12)=180. Add 12 to both sides to get 4x=192. Divide 4 on both sides to get x=48. Substitute 48 for x to get m∠K = 57° and m∠L=75°.

Tayler's mom purchased a savings bond for Tyler. One year after it was purchased, the value of the savings bond was $156. If the value of the savings bond increases by 4% after one year, what was the value of the bond when Tyler's mom purchased it? Explain or show your reasoning.

Answers

Answer: The value of the bond when Tyler's mom purchased it = $150

Step-by-step explanation:

Let x= Purchasing price of the bond.

Given: Rate of increase in its value = 4% = 0.04

Value of bond after one year = x+ 4% of x

= x+0.04x

= 1.04x

One year after it was purchased, the value of the savings bond was $156.

[tex]\Rightarrow\ 1.04x = 156\\\\\Rightarrow\ x=\dfrac{156}{1.04}\\\\\Rightarrow\ x=150[/tex]

Hence, the value of the bond when Tyler's mom purchased it = $150

An arborist examine trees in an orchard to see if they were infected with a virus out of 450 trees 56% had the virus how many trees were infected with the virus ​

Answers

Answer:

252 trees

Step-by-step explanation:

450 trees total

56% are infected

450 * .56 = 252 trees

30.5 times 15.2 times x = 6176
find x

Answers

Answer:

The answer is x  =  13.32182916

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Multiply  30.5  by  15.2 .

463.6  ⋅  x  =  6176

Divide each term by  463.6  and simplify.

Hoped this helped!

Brainly, please?

Answer:

13.32

Step-by-step explanation:

30.5 times 15.2 is 463.6

So now the equation is 463.6x=6176

divide both sides by 463.6

x= 13.32

100 POINTS!!! can someone help me please?? will give brainliest if correct!!​

Answers

Answer:

k= 15

Step-by-step explanation:

Answer:

k =15 and please give brainliest

Step-by-step explanation:

I don’t know how to solve this please help

Answers

Answer:

Only the first point lies on the line and thus, Anders is incorrect

Step-by-step explanation:

Here, we want to show that Anders is incorrect

we simply substitute the values of his coordinates into the equation of the line

for (10,420)

we have;

420 = 40(10) + 20

420 = 420

This is right

We now test the second given point;

-420 = 40(-10) + 20

-420 = -400 + 20

-420 is not -380

Which of the following is NOT a type of poem

A a haiku

B a sonnet

C a limerick

D a news article

Answers

Answer:

D of course

Step-by-step explanation:

Answer:

D. a news article.

Step-by-step explanation:

A haiku is a real thing, so is a sonnet and limerick so the only other option is a news article! :)

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