water is draining from a 300ml bottle at a rate of 2ml per second. How many seconds will it take for half of the water to drain?

Answer:

x = -3

Step-by-step explanation:

y = -x + 2

7x + 4y = -1

Subsitution method: (Substitute y)

7x + 4(-x+2) = -1

Expand.

7x + (-4x + 8) = -1

One plus and one minus make one minus. Two plus makes a plus.

7x -4x + 8 = -1

Simplify.

3x + 8 = -1

Isolate 3x.

3x = -1-8

    = -9

Find x.

x = -9 ÷ 3

  = -3

Answer:

It will take 14 years before the investment triples

Step-by-step explanation:

Continuous Compounding

Is the mathematical limit that compound interest can reach if it was calculated and reinvested into an account's balance over a theoretically infinite number of periods.

The formula for continuous compounding is derived from the formula for the future value of a compound interest investment:

[tex]FV = PV\cdot e^{i.t}[/tex]

Where:

FV = Future value of the investment

PV = Present value of the investment

i     = Interest rate

t     = Time

It's required to find the time for an investment to triple, that is, FV = 3 PV, knowing the interest rate is i=8%=0.08.

Substituting the known values:

[tex]3PV = PV\cdot e^{i.t}[/tex]

Dividing by PV:

[tex]3 = e^{i.t}[/tex]

Taking logarithms:

[tex]\ln 3=i.t[/tex]

Solving for t:

[tex]\displaystyle t=\frac{\ln 3}{i}[/tex]

[tex]\displaystyle t=\frac{\ln 3}{0.08}[/tex]

t = 13.7 years

Rounding up:

It will take 14 years before the investment triples

It will take 37.5 years before the investment triples.

The formula for calculating the future value is expressed as:

[tex]A =Pe^{rt}[/tex]

P is the principal

r is the rate (in %)

t is the time (in years)

If the investment tripled, then A = 3P. The equation will become:

[tex]3P=Pe^{rt}\\3=e^{rt}\\ln3 =lne^{rt}\\rt = 3\\0.08t =3\\t =\frac{3}{0.08} \\t =37.5 years[/tex]

Hence it will take 37.5 years before the investment triples.

Learn more here: https://brainly.com/question/18442810

Answer:7 days

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

In a Parallelogram , it is important to note that opposite sides are equal to each other.

We are given parallelogram ABCD.

We have sides: AB, BC, CD, AD.

Since opposite sides are equal then:

AB = CD

BC = AD

The perimeter of a parallelogram is the sum of all its sides.

In the question: BC=13 and AB=5

Hence,

AB = CD = 5

BC = AD = 13

Perimeter of Parallelogram ABCD = 5 + 5 + 13 + 13

= 36.

Answer: It is 17

Step-by-step explanation:

5+2(10-4)

5+2(6)

5+12

17

Answer: 17

Step-by-step explanation: you just have to simplify

Answer:

5,379.80

Step-by-step explanation:

you multiply $3,635 times .06, and you'll get $218.10. then you multiply $218.10 times 8. you will get $1,744.80. you then add your original amount of $3,635 and the final answer is $5,379.80

Answer:

it is b

Step-by-step explanation:

when you divide exponents you subtract them. when you have parentheses you multiply the exponents. the one on the left is 6^13 and the one on the right is 6^8. 6^13 is more than 6^8.

Answer: A

Step-by-step explanation:It shows the correct graph

Answer:

im pretty sure its y is more than or equal to 3x - 4

Step-by-step explanation:

Answer:

x ≥ 33

Step-by-step explanation:

Answer: the answer is 33

Answer:

Step-by-step explanation:

y=25x if  y is the miles and x is the time

Answer:

u just got to multiply it, for extra and faster help, use math away for ur math and its a bot so obviously it will tell you the answer and steps, hope I hekoed and plus my bday is in 6 days I'll be 13! I'm just so excited!!! I'm a girl, you could call me Che and yeah... I forgot what I was gonna say but bye and pls yall, pls be nice to me, it's close to my bday! thx.

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Step-by-step explanation:

Answer:

c=55t

Step-by-step explanation:

Your answer will be c=55t

Answer:

19.6 = X

Step-by-step explanation:

Plug in -89 for F(x)

Then just solve.

Get that 100.

Answer:

Step-by-step explanation:

30 minutes UoU

Every 10 minutes he finishes 20% of the book case.

so In 10 minutes he will have 50% done, In 20 minutes 60%, in 40 minutes 100%

Answer:

wth kinda question is this well how old is tim they could be 15 or 30 we don't clarify for us

Step-by-step explanation:

get smarter for asking question

Answer:

ya what the guy said above me

Step-by-step explanation:

Answer: 37

Step-by-step explanation:

Answer:

Option C.

Step-by-step explanation:

From the table attached,

Pre-image coordinates J(-8, 2) → Image coordinates J'(-22, 5.5)

J(-8, 2) → J'(-22, 5.5)

Since, rule for the dilation of a point is,

(x, y) → (kx, ky) [Here k = scale factor of dilation]

Therefore, kx = -22

k(-8) = -22

k = [tex]\frac{-22}{-8}[/tex]

k = 2.75

So the scale factor should be 2.75

From the given options,

Option A.

(x, y) → [tex]\frac{4}{11}(x, y)[/tex]

       → 0.36(x, y)

But value of k should be 0.36

Therefore, Incorrect option.

Option B.

(x, y) → [tex]\frac{3}{22}(x, y)[/tex]

       → 0.14(x, y)

k = 0.14

But the value of k should be 2.75

Incorrect option.

Option C.

(x, y) → [tex]\frac{11}{4}(x, y)[/tex]

       → 2.75(x, y)

k = 2.75

Therefore, this option is correct.

Option D.

(x, y) → [tex]\frac{22}{3}(x, y)[/tex]

       → 7.33(x, y)

k = 7.33

But the scale factor should be 7.33

Incorrect option.

Answer:

Answer is B. 5065

Step-by-step explanation:

Edge says so

Your current CD matures in a few days. You would like to find an investment with a higher rate of return than the CD. Stocks historically have a rate of return between 10% and 12%, but you do not like the risk involved. You have been looking at bond listings in the newspaper. A friend wants you to look at the following corporate bonds as a possible investment.

What was the price of the XYZ bond on the previous day?

Edge says its C. 100 1/4

Your current CD matures in a few days. You would like to find an investment with a higher rate of return than the CD. Stocks historically have a rate of return between 10% and 12%, but you do not like the risk involved. You have been looking at bond listings in the newspaper. A friend wants you to look at the following corporate bonds as a possible investment.

What was the price of the ABC bond on the previous day?

Edge says its D. 104 3/4

Answer:B

Step-by-step explanation:

Answer:

360

Step-by-step explanation:

but 350 more accurately

Answer:

i believe the answer is c or 110/60=x/100

Step-by-step explanation:

x/-4 = -1.1

=> x = -1.1 × -4

=> x = 4.4

Answer:

Step-by-step explanation:

the youngest received 94,200

the middle received 107,200

the eldest received 283,600

Step-by-step explanation:

Given parameters:

Worth of the estate  = $485000

Unknown:

Amount received by each sibling = ?

Solution:

Let the amount received the eldest  = e

                                                 middle  = m

                                                 youngest  = y

                  e  = 3y

                 m = y + 13000

so;

      e + m + y  = 485000

      3y + y + 13000 + y  = 485000

         5y  = 485000 - 13000

         5y  = 472000

           y  = $94400

Eldest  = 3y  = 3 x 94400 = $283200

Middle  = $94400 + $13000 = $107400

Youngest  = $94400

Answer:

5 1/3

Step-by-step explanation:

I caculated 2/3 times 8

Answer:

1514.8

Step-by-step explanation:

Answer:

1,514.8

Step-by-step explanation:

Answer:

5 students per group

Step-by-step explanation:

20 ÷ 4 = 5 students

Answer:

5

Step-by-step explanation:

20/4=5

Yessss      The answer is:          

The graph of y = sin(x + 4) compared to the graph of

y = sin x has moved:     It will be more voilentary and smaller but more larger with the aixs (x,y)  

Answer:

17

Step-by-step explanation:

There is a SUBTRACTION symbol in the problem. So, you will do the opposite, & ADD the 2 available numbers in the equation. 10+7=17

When you replace that y with 17, the equation is correct.