a number divided by 5 increased by 4

The amount of Plutonium that remains after 36 months is 0.05

The equation for the amount of Plutonium after t months is

[tex]\mathbf{P(t) = 12e^{-0.1507t}}[/tex]

After 36 months; we have: t = 36.

Substitute 36 for t in P(t).

So, we have:

[tex]\mathbf{P(36) = 12e^{-0.1507 \times 36}}[/tex]

Simplify the exponent

[tex]\mathbf{P(36) = 12e^{-5.4252}}[/tex]

Evaluate the exponent

[tex]\mathbf{P(36) = 12 \times 0.004404}[/tex]

Multiply

[tex]\mathbf{P(36) = 0.052848}[/tex]

Approximate to 2 decimal places

[tex]\mathbf{P(36) = 0.05}[/tex]

Hence, the amount that remains is 0.05

Read more about exponential functions at:

https://brainly.com/question/11487261

Answer:

0.3ml

Step-by-step explanation:

0.1 g = 0.1 ml

Answer:

this is correct

Step-by-step explanation:

A dividend is a number we want to divide by another number. It's supposed to be greater than 1000.

Quotient - the integer result of division. Remainder - well, what remains.

9/4 = 2, with remainder 1.

You want to find a number greater than 1000, which, when divided by another number, results in 37, with a remainder of 4.

I would multiply 37 by an increasing number until we get a product greater than 1000. This number is the one you are dividing by. Now add 4 to the product, so that when the sum is divided by the number you found we'll get a remainder of 4.

Answer:

4

Step-by-step explanation:

You want a cookie?

Answer:

2+2 = 4

Step-by-step explanation:

1+1+1+1 = 4

Hope this helped!

mark me brainliest :D

Answer:

-4,-1,2,3

Step-by-step explanation:

Answer:

distance, speed, time, temperature , work, energy, charge, voltage are all scalar quantities. Displacement, velocity, acceleration, force, electromagnetic field are all vector quantities.

Step-by-step explanation:

Displacement and velocity.

Answer:

True

Explanation:

3 feet is 1 yard so 13/3 is 4.3 yards approximately

True

[tex] \frac{1 \: yard}{3 \: feet} = \frac{x \: yard}{13 \: feet} [/tex]

3x = 13

[tex]x = \frac{13}{3} yards[/tex]

Answer: y=7, x=2

Step-by-step explanation:

∠Q+∠P=180° (∠s between 2 // lines)

97°+(12y-1)°=180°

12y-1=83°

12y=84

y=7

5x+6=8x (Iso triangle)

x=2

Answer:

y = –12x –300 that will help you

Answer:

show the question

Step-by-step explanation:

Answer:

lol Its 4

Step-by-step explanation:

Dont worry you got this

Answer:

=4

Step-by-step explanation:

2 + 2 = 4

1 + 1 = 2

1 + 3= 4

Hope this helps, have a nice day/night! :D

if it helps, please mark as brainliest!

Answer: R= 4

Step-by-step explanation:

FOR step by step explanation ask me by my mail , Thanks !

Answer:

Step-by-step explanation:

Notice that the y-component is the same, -2, in these two points.  That means y does not change as x changes, and therefore we conclude that the slope of the line connecting the two points is m = rise / run = 0.

                                      -2 - (-2)

Alternatively, use m = -------------- = 0

                                        3 - 13

The value of the slope in question is zero:  m = 0

Answer:

C

Step-by-step explanation:

For the first part, a velocity graph would show the constant velocity, and the curve represents the constant negative acceleration, which could be seen on a acceleration graph. The final part after the curve shows the 0 velocity because the position is constant.

6/6, simplified to 1,

negative slope so -1

Answer:

4/3

Step-by-step explanation:

Answer:

the correct answer is C hope this helps

Step-by-step explanation:

Answer:

x = 2

y = 7

I aced this lesson in 6th grade.

Step-by-step explanation:

hope this helps. . . <3

good luck!    uωu

Answer:

Step-by-step explanation:

All 4 sides are equal. (They are marked that way).

8x = 5x + 6                   Subtract 5x from both sides

8x - 5x = 5x - 5x + 6    Combine

3x = 6                           Divide by 3

3x/3 = 6/3                    

x = 2

Consecutive angles of  a rhombus are supplementary

97  + 12y - 1 = 180         Combine

96 + 12y = 180              Subtract 86 from both sides

12y = 180 - 96

12y = 84                        Divide by 12

y = 84/12

y = 7

Answer: 49 : 32

Step-by-step explanation:

12 1/4 = 49/4

12 1/4 : 8 = 49/4 : 8

12 1/4 : 8 = 49/4 : 8/1

12 1/4 : 8 = 49/4 : 32/4

12 1/4 : 8 = 49 : 32

12 1/4 : 8 = 49 : 32

Answer:

Principal (amount invested) = $14,350

Step-by-step explanation:

Given the simple interest amount of $2,870 earned in 4 years at 5% interest rate:

In order to find the principal amount that was invested, we could use the simple interest formula and isolate the variable, P, algebraically.

I = P × r × t

where:

I = interest earned = $2,870

P  = principal amount invested = ?

r  = interest rate = 5% or 0.05

t = time = 4

Divide both sides by (r × t ) to isolate P :

[tex]\displaystyle\mathsf{\frac{I}{(r\:\times\:t)}\:=\:\frac{P\:\times\:r\:\times\:t}{(r\:\times\:t)}}[/tex]

[tex]\displaystyle\mathsf{P\:=\frac{I}{(r\:\times\:t)}}[/tex]

Substitute the given values into the formula for P:

[tex]\displaystyle\mathsf{P\:=\frac{I}{(r\:\times\:t)}\:=\:\frac{2870}{0.05\:\times\:4}}[/tex]

[tex]\displaystyle\mathsf{P\:=\frac{2870}{0.20}=14,350}[/tex]

Therefore, the principal amount invested is $14,350.

Answer:

15

Step-by-step explanation:

Calculate the sum of 8+7 which is 15

Answer:

Step-by-step explanation:

Let,

The req. number be = x

So,

Two - thirds of the number

[tex] = \frac{2}{3} x[/tex]

Then, it is reduced by 13

[tex] = \frac{2}{3} x - 13[/tex]

After that,

The req. result we get is = 7

Therefore,

By the problem,

[tex] = > \frac{2}{3} x - 13 = 7[/tex]

[tex] = > \frac{2}{3} x = 7 + 13[/tex]

[tex] = > \frac{2}{3}x = 20[/tex]

[tex] = > \frac{2}{3} x \times \frac{3}{2} = 20 \times \frac{3}{2} [/tex]

=> x = 30

Hence,

The req. number is 30.

Given that :

To Find :

Solution :

Let's assume the number as x

According to the question :

[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x - 13 = 7 }[/tex]

Adding 13 to both sides we get :

[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x - 13 + 13 = 7 + 13 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x = 20 }[/tex]

Now, Multiplying both sides by [tex] \dfrac{3}{2} [/tex] we get :

[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x \times \dfrac{3}{2} = 20 \times \dfrac{3}{2} }[/tex]

[tex]\qquad \sf \: { \dashrightarrow \dfrac{ \cancel2}{ \cancel3}x \times \dfrac{{ \cancel3}}{ \cancel{2}} = \cancel{20} \times \dfrac{3}{ \cancel{2}} }[/tex]

[tex]\qquad \sf \: { \dashrightarrow x = 10 \times {3} }[/tex]

[tex]\qquad \bf \: { \dashrightarrow x = 30 }[/tex]

Therefore, The number is 30.

Answer:

3 times

Step-by-step explanation:

75÷25=3 times greater than April

Answer:

2.5n+3.5n^2

Step-by-step explanation:

(6+7n-1)*n/2=2.5n+3.5n^2

Answer:

6 weeks

Step-by-step explanation:

8 quizzes = 4 weeks

So 2 quizzes/week

It will take her 12/2 weeks (6) to finish 12 quizzes

-Chetan K

Answer:

(x+x)+ (y+y)

=2x + 2y

thank you

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Hey there!

x + x + y × y

= 1x + 1x + 1y × 1y

COMBINE the LIKE TERMS

= (1x + 1x) + (1y × 1y)

= 2x + y²

= y² + 2x

Therefore, your answer should be: y² + 2x

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

[tex]\\ \sf\longmapsto 2(n-1)+47=2(3n-1)[/tex]

[tex]\\ \sf\longmapsto 2n-2+47=6n-2[/tex]

[tex]\\ \sf\longmapsto 2n+47=6n[/tex]

[tex]\\ \sf\longmapsto 4n=47[/tex]

[tex]\\ \sf\longmapsto n\approx 12[/tex]

Answer:

n = 11.75

Step-by-step explanation:

2(n - 1) + 47 = 2(3n - 1)              Distribute the multiplier

2n - 2 + 47 = 6n - 2                 Combine terms

              47 = 4n                       divide

                n = 11.75

Answer:

B

Step-by-step explanation: