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EastWind [94]
3 years ago
9

The town of Springfield , USA has a population of 9900 people. The population is growing at a rate of 2.3% each year

Mathematics
1 answer:
Marina CMI [18]3 years ago
8 0
It usually asks what the population will be in _____ years. Anyways, 9900=(1+0.023)^ [however many years]. I’ve done this problem before, and I believe it was 7 years, so you will “raise it” to 7 or whatever the number is.
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Find the area of a circle with diameter 12 cm.
luda_lava [24]

Answer:

113.04 cm.

Step-by-step explanation:

Step 1: <u>Formula/explain</u>

To find the area of a circle, multiply the radius by itself twice, then multiply the product pi.

a=\pi r^2(3.14*radius*radius)

Step 2: <u>Solve</u>

According to the word problem, the circle has a diameter of 12. This means it has a radius of 6.

Now, we plug the numbers into formula.

\pi 6^2 (3.14*6*6)=113.04

Step 3: <u>Conclude</u>

Therefore, the area of this circle is 113.04 cm.

3 0
3 years ago
Consider the sequence 3, 6, 12, 24, 48, .... (a) Write a recursive rule to represent the sequence. (b) Write an explicit rule to
saveliy_v [14]

Answer:

  a. a[1] = 3; a[n] = 2a[n-1]

  b. a[n] = 3·2^(n-1)

  c. a[15] = 49,152

Step-by-step explanation:

Each term of the given sequence is 2 times the previous term. (This description is the basis of the recursive formula.) That is, the terms of the given sequence have a common ratio of 2. This means the sequence is geometric, so the formulas for explicit and recursive rules for a geometric sequence apply.

The first term is 3, and the common ratio is 2.

<h3>(a)</h3>

The recursive rule is ...

  a[1] = 3

  a[n] = 2×a[n-1]

__

<h3>(b)</h3>

The explicit rule is ...

  a[n] = a[1]×r^(n-1)

  a[n] = 3×2^(n-1)

__

<h3>(c)</h3>

The 15th term is ...

  a[15] = 3×2^(15-1) = 3×2^14

  a[15] = 49,152

5 0
3 years ago
Find (fog)(x) when f(x)=x^2-7x+12 and g(x)=7/x^2-16
Sati [7]
I think is uh.. i think is uh carrot
5 0
3 years ago
Solve for x<br><br> 3(ax + 9) = -4 (-2 - 10x)
ivolga24 [154]

Answer:

19

-----   =   x

40-3a

Step-by-step explanation:

3(ax + 9) = -4 (-2 - 10x)

Distribute

3ax +27 = 8+40x

Subtract 3ax from each side

3ax-3ax +27 = 8+40x-3ax

27 = = 8+40x-3ax

Subtract 8 from each side

27-8 = 8-8+40x-3ax

19 = 40x-3ax

Factor an x on the right side

19 = x(40-3a)

Divide each side by 40-3a

19/(40-3a) = x(40-3a)/(40-3a)

19

-----   =   x

40-3a

8 0
3 years ago
The set of integers is not closed for
Brilliant_brown [7]
Hello,

N is closed for an opération(µ)  means that
a,b ∈ N : a µ b ∈N (i suppose so)

Answer (1) ex 2/3 ∉ N

Answer (4) ex 2-3 ∉ N

∀ a,b ∈ N: a+b ∈N is true ; not a answer.

∀ a,b ∈ N: a*b ∈N is true ; not a answer.


 


4 0
3 years ago
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