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kirza4 [7]
3 years ago
11

URGENT!

Mathematics
1 answer:
tia_tia [17]3 years ago
3 0

Answer:

Step-by-step explanation:

We would apply the formula for exponential growth which is expressed as

A = P(1 + r)^t

Where

A represents the population after t years.

t represents the number of years.

P represents the initial population.

r represents rate of growth.

From the information given,

P = 5655

r = 1.4% = 1.4/100 = 0.14,

a) Therefore, the equation that estimates the population t years after 2010 is

A = 5655(1 + 0.14)^t

A = 5655(1.14)^t

b) in 2022, the number of years t = 2022 - 2010 = 12

Therefore,

A = 5655(1.14)^12

A = 27245

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A basketball has a volume of 23047 cm
Elodia [21]

Answer:

17.65693585 = r

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

23047 = 4/3 (3.14) r^3

23047 = 4.1866666666 r^3

Divide by 4.186666 on each side

23047/4.18666666 = 4.1866666666/4.18666666 *r^3

5504.856688 = r^3

Take the cubed root on each side

(5504.856688)^1/3 = r^3^(1/3)

17.65693585 = r

4 0
3 years ago
K-mart buys lego solar systems for $165 and marks them up 3/5 of the price. How much do they sell for?
evablogger [386]
They would sell, for 99 dollars.
7 0
3 years ago
-73 greater than or equal to 15 + 11x
Alecsey [184]
-73 ≥ 15 + 11x 
so the first thing you should do is to add -15 on both sides of the equation so you will have:
-73 -15 ≥ 11x 
- 88 ≥ 11x 
so the answer is:
-88/11 ≥ x or -8 ≥ x :)))
i hope this is helpful
have a nice day 
5 0
3 years ago
Read 2 more answers
What are the domain restrictions of the expression g2−7g+10g3−6g2+8g ? Select each correct answer.
Sauron [17]

Answer with Step-by-step explanation:

We are given that an expression

f(g)=\frac{g^2-7g+10}{g^3-6g^2+8g}

We have to find domain restriction of the given function.

f(g)=\frac{(g-5)(g-2)}{g(g-4)(g-2)}

Domain restriction means : It is that value of x when substitute in function then  function will  not defined.

It means it is that values which makes denominator zero.

From given function we can see that

When substitute g=0 then it makes denominator zero.

Hence, the function is not defined at g=0

Substitute g=4

Then, it makes denominator zero.

Hence, function is not defined  at g=4

Substitute g=2

Then,it  makes denominator zero.

Hence, function is not defined  at g=2

Therefore, the function is defined for all values of g except g=0, g=2 and g=4

5 0
3 years ago
Help with algebra pls help
EastWind [94]

9514 1404 393

Answer:

  a. 1.48 seconds

Step-by-step explanation:

You want to find the larger value of t such that h(t) = 10.

  -16t^2 +25t +8 = 10

  16t^2 -25t +2 = 0 . . . . subtract the left side to get standard form

Using the quadratic formula, we find the values of t to be ...

  t = (-(-25) ± √((-25)^2 -4(16)(2)))/(2(16)) = (25±√497)/32

  t ≈ 0.08 or 1.48

The ball goes in the hoop about 1.48 seconds after it is thrown.

__

<em>Additional comment</em>

The quadratic formula tells us the solution to ...

  ax² +bx +c = 0

is given by ...

  x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

Here, we have a=16, b=-25, c=2. Of course, our variable is t, not x, but the relation is the same.

8 0
3 years ago
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