Multiplier method to decrease £262 by 39%

Step-by-step explanation:

We can model the annual consumption of iron by the equation

c = 900 million tons x [tex]1.025^n[/tex], where

n is the number of years after 1993 and

c is the consumption for that year.

An estimate for the total consumption of iron can now be obtained by integrating this equation with respect to a dummy variable, x from 0 to n.

[tex]C = 900*10^6* \int\limits^n_0 {1.025^x} \, dx[/tex]

This equation simplifies to

C = 900 million tons x (1.025^n - 1) / ln(1.025), where

x is a dummy variable and

C is the total consumption of iron n years after 1993.

Let R be the amount of iron remaining at n years after 1993, so

R = 480 billion tons - C

R = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)

We need to find the value of n when R is 0, so

0 = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)

Simplify this equation to obtain

n = 107.4

So the iron will run out in the year 1993 + 107 = 2100

Answer:

9[tex]x^{3}[/tex]-x-6

Step-by-step explanation:

Answer:

=9x3−x−6

Step-by-step explanation:

7x3−4x−8+2x3+3x+2

Answer:

4 and 4.1

Step-by-step explanation:

because sqrrt17 is about 4.123 (memmorized) and it's rounded down to 4 and down to 4.1

Answer:Then 16x = 240, and x = 240/16 = 15. It will take 15 minutes to travel 12 miles.

Step-by-step explanation:

16 miles     =  12 miles

20 mins.        how many mins?

16    =   12       cross multiply       16? = 240   divide by 16     240 divided by 16 = 15 miles

20          ?                                                                                because 15 x 16 = 240

Answer:

It will take 15 minutes to travel 12 miles.

Step-by-step explanation:

Write and solve an equation of ratios:

16 miles     20 min

-----------  = -----------

12 miles          x

Then 16x = 240, and x = 240/16 = 15.  

Answer:

the pice goes up 5.25 more  i dont get what is asked btw

Step-by-step explanation:

Answer:

150%

Step-by-step explanation:

Sorry I don't know how to explain this since I just got this from my test.

Answer:

The slope of the line is: 1

Step-by-step explanation:

Use the equation

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

Use the two sets of points given to you to slve the equation.

Assign the points their variables:

x1 y1 x2 y2

(4, 4) (8, 8)

Insert the numbers into the equation:

[tex] \frac{8 - 4}{8 - 4} [/tex]

Simplify:

[tex] \frac{4}{4} = 1[/tex]

Answer:

x = 23.5

Step-by-step explanation:

x is the midsegment theorem of the trapezoid given.

Based on the midsegment theorem of a trapezoid, thus:

x = (7 + 40)/2

x = 47/2

x = 23.5

Answer:

no

Step-by-step explanation:

Answer:

16 is bigger.

Step-by-step explanation:

This about it like this: The bigger the root numeral the higher.

Answer:

5×10-2×10=3×10

50-20=30i think

Answer:

first method

subtract 5 from both side

2x + 5 -5 = 12 - 5

:. 2x = 7

:. X= 2

7

divide 2 from both side

X= 2x 7

2 2

:. X= 3.5

second method

2x = 12 - 5

2x = 7

X= 2 ÷ 7

:. X= 3.5

Answer:

Buying Groceries, paying for a house, maybe in your job, doing schoolwork of course, and counting money.

Step-by-step explanation:

Answer:

1. you use it to calculate time (managing your day)

2. you use it while driving (use in angles and degrees)

3. you use it while drawing (again, use in angles and degrees)

4. you use it while cooking

5. you use it while banking (financial help)

Step-by-step explanation:

hope this helps:) please mark brainliest

Answer:

La D

Step-by-step explanation:

porque la variable de divide

Answer:

x=79,y=63 I have solve it in above picture

Answer:

8% per year

Step-by-step explanation:

............

Answer: One way is by putting on background music. Heroic music makes the audience feel exited.

Step-by-step explanation:

Answer:

a laughing track

Step-by-step explanation:

sitcoms are shows like friends, where when something is funny, it plays laughing in the background, essentially telling everyone to laugh becasue something funny just happened

If you know your derivative rules, then

d/dx [1/x] = -1/x ²

so that when x = 6, the derivative has a value of -1/36.

If you have to use the definition of the derivative, then

d/dx [1/x] = lim {h → 0} (1/(x + h) - 1/x) / h

… = lim {h → 0} (x - (x + h)) / (hx (x + h))

… = lim {h → 0} (-h) / (hx (x + h))

… = lim {h → 0} (-1) / (x (x + h))

… = -1/x ²

and at x = 6, you again get -1/36.

Alternatively, use the definition of the derivative at a point:

d/dx [1/x] (6) = lim {x → 6} (1/x - 1/6) / (x - 6)

… = lim {x → 6} ((6 - x) / (6x)) / (x - 6)

… = lim {x → 6} -(x - 6) / (6x (x - 6))

… = lim {x → 6} (-1) / (6x)

… = -1/36

Answer:27/40

Step-by-step explanation:

7/8-1/5  

35/40-8/40=27/40

Answer:

true

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

4 to the third power is 64

(7-3) = 4

*2

64/4*2 = 32

Hope this helps

Answer:

Corresponding angles:

E=P

F = Q

G=R

H=N

Corresponding side:

EF=PQ

GH=RN

FG=QR

EH=PN

Step-by-step explanation:

Just match them=)

Answer:

6-18y-9x

Step-by-step explanation:

Answer:

2 Blocks

Step-by-step explanation:

Answer:2/3

Step-by-step explanation: 2 blocks apart so just 1/3 times 2=2/3

Answer:

22 meters

Step-by-step explanation:

If the penguin goes from 15 meters above sea level to sea level (0 meters), they traveled 15 meters in elevation.

Then they traveled another 7 meters when going 7 meters below sea level.

15 + 7 = 22

Hope this helps :)

Answer:

The model is [tex]P(t) = 2000(1.075)^{t}[/tex].

There will be 4122 fish in 10 years.

Step-by-step explanation:

Exponentially increasing population:

An exponentially increasing population can be represented by the following model:

[tex]P(t) = P(0)(1+r)^t[/tex]

In which P(t) is the population after t years, P(0) is the initial population, and r is the growth rate, as a decimal.

A population of 2000 fish increases at an annual rate of 7.5%.

This means that [tex]P(0) = 2000, r = 0.075[/tex]

So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]P(t) = 2000(1+0.075)^t[/tex]

[tex]P(t) = 2000(1.075)^{t}[/tex]

This is the model.

How many fish will there be in 10 years?

This is P(10).

[tex]P(t) = 2000(1.075)^{t}[/tex]

[tex]P(10) = 2000(1.075)^{10} = 4122[/tex]

There will be 4122 fish in 10 years.

9514 1404 393

Answer:

Step-by-step explanation:

The inverse cosine function of your calculator is used to find the angle from the cosine value. (Be sure your calculator is set to 'degrees' mode.)

1) A = arccos(0.9976) ≈ 4°

2) U = arccos(0.6691) ≈ 48°