Write the model of a 50 gram substance that decays at a rate of 3% yearly

Write The Model Of A 50 Gram Substance That Decays At A Rate Of 3% Yearly

Answers

Answer 1

Answer:

A(t) = 50(0.97)^t

Step-by-step explanation:

3% = 0.03

1 - .03 = 0.97

A(t) = 50(1 - 0.03)^t

A(t) = 50(0.97)^t


Related Questions

What is the volume of a box with a base of 672 square inches and a height of 25 inches? A. 1,680 in33

Answers

Answer:

16,800 in^3

Step-by-step explanation:

Volume of a box = length x width x height

or base area x height

672 x 25 = 16,800 in^3

Jasmine has $28.80 in savings. Her sister has 2½ as much as Jasmine. How much money do the two girls have together

Answers

Answer:

$100.80

Step-by-step explanation:

Total money = 28.80 (Jasmine) + 2.5 x 28.80 (Sister)

Total money = 28.80 + 72 = $100.80

Answer:

$100.80

Step-by-step explanation:

y=28.80+(28.80x2.5)

y=28.80+72

y=100.80

hope this helps :)

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Answers

Answer:

B

Step-by-step explanation:

Use Desmos graphing calculator

Answer:

x = -2y^2

Explanation Part 1:

It's not vertical, and thus it's not a standard (y = ax^2 + b) parabola.

This must mean it's either x = 2y^2 or x = -2y^2

Explanation Part 2:

You can test values into either one to check if it works

Take (-2, 1) for example, doesn't have to be a precise coordinate pair:

First Equation

x = 2y^2

-2 = 2(1)^2

-2 = 2(1)

-2 = 2

DOESN'T WORK!

Second Equation

x = -2y^2

-2 = -2(-1)^2

-2 = -2(1)

-2 = -2

IT WORKS!

If the hypotenyse of an isosceles triangle is 8 inches, is there enough information to find the length of the legs? If yes, find the length of the legs. Round to the nearest tenth if necessary.

Answers

Answer: 5..6 in.

Step-by-step explanation:

Given

Hypotenuse of isosceles triangle is 8 inches

In isosceles triangle two sides are equal

Suppose the other side is x

Using Pythagoras we can write

[tex]\Rightarrow x^2+x^2=8^2\\\Rightarrow 2x^2=64\\\Rightarrow x^2=32\\\Rightarrow x=4\sqrt{2}\approx 5.6\ in.[/tex]

Therefore, the lengths of the legs is 5.6 inches

Adele buys some furniture for £4500. She pays a deposit of 20%. She pays the remainder in 24 monthly payments. How much is each monthly payment?
SHOW THE WHILE PROCESS TOO PLEASE​

Answers

20% X 4500 =ans1
4500- ans1 =ans2
Ans2 / 24 =final ans

The function defined by d = 50+ 3121 - 1612 gives the height in feet of a cannonball t seconds after the ball leaves the cannon. 1. What do the terms 50, 3121, and -1612 tell us about the cannonball?​

Answers

Answer:

29(!£6287&7&(&

Step-by-step explanation:

That's it ty

What would this be? Please help.

Answers

Answer:

-176

Step-by-step explanation:

Let x = -8

f(-8) = 11 (-8-24) / 2

         Simplify the parentheses

f(-8) = 11 ( -32)/2

        = 11 (-16)

        = 176

-176
Sorry if wrong

Laura comprou 870 gramas de carne moida e vai dividir ingualmente em 3 pacotes. Quantas gramas terão em cada pacote?

Answers

Answer:

290 gramas

Step-by-step explanation:

Podemos interpretar a questão acima matematicamente como:

3 pacotes = 870 gramas

1 pacote = x

Multiplicação cruzada

3x = 1 × 870 gramas

Divida os dois lados por 3

3x / 3 = 1 × 870 gramas / 3

x = 290 gramas

Portanto, cada pacote conteria 290 gramas de carne moída

PLS HELP WILL GIVE BRAINLIEST

Answers

it would be 12/25, all the students together are 25 and the amount of student WITH brown eyes are 13, 25-13=12 so there would be 12 students without brown eyes

Answer: The answer is 12/25

Step-by-step explanation:

Chef Johnson used 4 1/2 cups of flour of flour to make 4 fruitcakes.How many cups of flour are needed for 1 fruitcake?

Answers

Answer:

1 1/8

Step-by-step explanation:

The diameter, D, of a sphere is 18.8m. Calculate the sphere volume, V. Use the value 3.14 for pi

Answers

Answer:

3.14159369398579323..... and so on

If you have $75 and then lose $25, what is the percent change?

Answers

Answer:

I think it is 50%

Step-by-step explanation:

Correct me if I am wrong

Find the slope of the graph below

Answers

Answer: 3/2

Step-by-step explanation:

can someone pls help me i am stuck on this question. Oh and the answer option are
A. Function 1
B. Function 2
C. The functions have the same slope.

Answers

Its C, also a negative slope is when it goes down towards the right like those ones

what percent of 144 is 36
no links ​

Answers

Answer:

25

Step-by-step explanation:

We already have our first value 36 and the second value 144. Let's assume the unknown value is Y which answer we will find out.

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

STEP 1 Y =  36/ 144

By multiplying both numerator and denominator by 100 we will get:

STEP 2 Y =  36/ 144  ×  100/ 100 =  25/ 100

STEP 3 Y = 25

Finally, we have found the value of Y which is 25 and that is our answer.

If you want to use a calculator to find 36 is what percent of 144, simply enter 36 ÷ 144 × 100 and you will get your answer which is 25

What is PQ? with a sector of 60 degrees and a radius of 9?
A) 540
B) 4.7
C) 9.4
D) 171.9

Answers

540 Aht Aht Aht Aht Aht Aht Aht Aht Aht Aht Aht Aht Aht Aht Aht Aht Aht Aht Aht Aht Aht Aht Aht Aht Aht

If a right triangle has side lengths of 3 cm and 7 cm, what is the length of the hypotenuse? brainliets will repport if nswwer is not right

Answers

Answer: 7

Step-by-step explanation:

i think it right could be wrong tho

Answer:

Solution given:

length[a]=3cm

base(b)=7cm

hypotenuse [c]=?

we have

by using Pythagoras law

a²+b²=c²

3²+7²=c²

c=√58=7.61m

the length of the hypotenuse is 7.61m.

You flip a fair coin 24 times. About how many times would you expect heads to appear? If a fair coin is flipped 24 times then heads should appear about times.

Answers

Answer:

12   50/50 chance

Step-by-step explanation:

Jessica is selling books during the summer to earn money for college. She
earns a commission on each sale but has to pay for her own expenses.
After a month of driving from neighborhood to neighborhood and walking
door-to-door, she figures out that her weekly earnings are approximately a
linear function of the number of doors she knocks on.
She writes the equation of the function like this: E(x) = 10x - 30, where x is the
number of doors she knocks on during the week and E(x) is her earnings for
the week in dollars.
Which of the following are reasonable interpretations of the y-intercept of
Jessica's function?
Check all that apply.
A. She can earn $10 per week even if she does not knock on any
doors
B. Her expenses are $30 per week.
c. If she does not knock on any doors at all during the week, she will
lose $30
D. She will lose $10 per week if she does not knock on any doors.

Answers

Answer:

C. if 10x is the door she have to knock so the -30 is how much she will earn during the week and if she doesn't knock any then she will lose the whole $30 dollars . sorry i can't explain myself good but i think it is so

Answer: B and C (took the test)

Step-by-step explanation:

B. Her expenses are $30 per week

C. If she does not knock on any doors at all during the week, she will lose $30.

-30 = -5x
Pls Solve.

Answers

Answer:

6

Step-by-step explanation: you just divide -5 by -30 to get 6

Answer:

30/5 is 6

Step-by-step explanation:

you have to divide to get x alone

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Answers

0.65 represent the percent of battery life remaining decreases by 65% each hour. Option D is correct.

What is the equation?

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

The fact that the exponential growth function's equation is provided by;

y=a(1+r)ˣ

Given expression;

y = 100(0.65)ˣ

Y represents the percent of battery life

The number of hours x

The battery life percentage declines by 65 percent per hour, or 0.65.

Hence option D is correct.

To learn more, about equations, refer;

https://brainly.com/question/10413253

#SPJ1

How many solutions does the linear system below have? -8x+2y=6 and -4x+y=3

Answers

Answer:

Step-by-step explanation:

Try dividing the first equation by 3.  The result will be identical to the second equation.  Thus, we have two lines that coincide, and therefore there are an infinite number of solutions.

What is the value of 8 + 2^3 x 5?

Answers

Answer:

I think the answer is 48

Step-by-step explanation:

2^3 = 8

8 x 5 = 40

40 + 8 = 48

Pls help me..if u can

Answers

Answer:

19958

Step-by-step explanation:

20237-(-279)

20237+279

A pickup truck traveled 12 miles in the same amount of time it took a school bus to travel 8 miles along the same route. The school bus was traveling 15 miles per hour slower than the pickup truck. Write and solve a rational equation that can be used to determine how fast was each vehicle traveling. pickup truck's speed: mph bus's speed: mph

Answers

Answer:

the pickup truck went 45 mph

the bus went 30mph

Step-by-step explanation:

uh i just guessed tbh & got it right

6x - 8y - 5х +3y. How can you answer this

Answers

Step-by-step Solution

Problem to solve: 6x−8y−5х+3y

solving method: simplifying

Combining like terms -8yand 3y

6x−5y−5

Final Answer:

6x−5y−5

Step-by-step explanation:

=>6x-5x-8y+3y first combine like terms together then add the like terms with x and substruct like terms with y

=>x-5y is the answer

Find the percent of increase from 40 gallons to 89 gallons. Round to the nearest tenth of a percent if necessary.

percent of increase?

Answers

Answer:

50

Step-by-step explanation:

because 89-49=49 49 rouded to the nearest ten is 50

1. 120+3t when t= 6

2. 4c+ 2b. C=3 and b=5

Answers

Answer:

The right solution is:

(1) 138

(2) 22

Step-by-step explanation:

The given values are:

t = 6

c = 3

b = 5

(1)

The given expression is:

=  [tex]120+3t[/tex]

On putting the value of "t", we get

=  [tex]120+3(6)[/tex]

=  [tex]120+18[/tex]

=  [tex]138[/tex]

(2)

The given expression is:

=  [tex]4c+2b[/tex]

On putting the values, we get

=  [tex]4(3)+2(5)[/tex]

=  [tex]12+10[/tex]

=  [tex]22[/tex]

If (-10,8) is a point on the terminal side f a angle 0 in standard position what is the value of tan0?

Answers

Answer:

The value of the tangent is [tex]-\frac{4}{5}[/tex].

Step-by-step explanation:

Let be [tex]A(x,y) = (-10, 8)[/tex] on the terminal side of an angle in standard position and let be [tex]O(x,y)[/tex] the origin of the angle and the origin of the Cartesian plane. By definition of tangent, we make use of the following expression:

[tex]\tan \theta = \frac{y_{A}-y_{O}}{x_{A}-x_{O}}[/tex] (1)

Where:

[tex]x_{A}, x_{O}[/tex] - x-Coordinates of point A and point O.

[tex]y_{A}, y_{O}[/tex] - y-Coordinates of point A and point O.

If we know that [tex]x_{A} = -10, x_{O} = 0[/tex], [tex]y_{A} = 8[/tex] and [tex]y_{O} = 0[/tex], then the value of the tangent is:

[tex]\tan \theta = \frac{y_{A}-y_{O}}{x_{A}-x_{O}}[/tex]

[tex]\tan \theta = \frac{8-0}{-10-0}[/tex]

[tex]\tan \theta = -\frac{4}{5}[/tex]

The Asian elephant is an endangered species with a current population of 45,000. This species is said to be experinceing a decline of 4.5% per year. After how many years should we expect the Asian elephant poputation ot be approximately 35,746?

Answers

Answer:

5 years

Step-by-step explanation:

Given that

The current population is 45,000

The rate of interest in declining would be 4.5% per year

The expected population is 35,746

We need to find out the no of years

Since the rate of interest decrease by 4.5% per year so after decreasing it the percentage would be 0.955

Now

Year 1 = 45,000 × 0.955 = 42,975

Year 2 = 42,975 × 0.955 =  41,041.125

Year 3 = 41,041.125 × 0.955 = 39,194.27

Year 4 = 39,194.27 × 0.955 = 37,430.53

Year 5 = 37,430.53 × 0.955 = 35,746.16

Hence, the no of years would be 5

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