1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mariana [72]
3 years ago
12

The number of cities in a region over time is represented by the function C(x)=2.9(1.05)^x. The approximate number of people per

city is represented but the function P(x)=(1.05)^3x+5
Which Function best describes T(x), the approximate population in the region?

HELP!!! PLS

Mathematics
1 answer:
N76 [4]3 years ago
3 0

Answer:

B. T(x) = 2.9\cdot (1.05)^{4\cdot x + 5}

Step-by-step explanation:

The approximate population in the region is the product of the number of cities in a region and the approximate number of people per city, that is:

T(x) = C(x)\cdot P(x) (1)

If we know that C(x) = 2.9\cdot (1.05)^{x} and P(x) = (1.05)^{3\cdot x + 5}, then the formula for the approximate population in the region is:

T(x) = [2.9\cdot (1.05)^{x}]\cdot [(1.05)^{3\cdot x + 5}]

T(x) = 2.9\cdot (1.05)^{4\cdot x + 5}

Hence, correct answer is B.

You might be interested in
HELPPP The number of members in the Triathlon Club was 36 in 2001 and has increased by 20% each year. Which exponential growth m
levacccp [35]

Answer:

C. y=36(1.2)t

Step-by-step explanation:

The number of members in the Club in t years after 2001 is given by an equation in the following format:

y = y(0)(1+r)^{t}

In which y(0) is the number of members in 2001 and r is the growth rate, as a decimal.

The number of members in the Triathlon Club was 36 in 2001 and has increased by 20% each year.

This means that y(0) = 36, r = 0.2

So

y = y(0)(1+r)^{t}

y = 36(1+0.2)^{t}

y = 36(1.2)^{t}

The correct answer is C.

5 0
3 years ago
-3, 6, -9, 12, -15, . . .
Nataly_w [17]
The second one is right
8 0
3 years ago
Read 2 more answers
Write an equation of the line that passes through (−1,3) and is parallel to the line y=2x+2.
MA_775_DIABLO [31]

The equation of the line that passes through (−1,3) and is parallel to the line y = 2x + 2 in slope intercept form is y = 2x + 5

<h3><u>Solution</u>:</h3>

Given that line passes through (-1, 3) and parallel to line y = 2x + 2

We have to find the equation of the line

Let us first find the slope of the line

<em><u>The slope intercept form of line is given as:</u></em>

y = mx + c  ---- eqn 1

where "m" is the slope of the line and "c" is the y-intercept

Comparing the given line equation y = 2x + 2 with y = mx + c,

We get slope "m" = 2

The slope of parallel lines are equal

Hence slope of the line which is parallel to y = 2x + 2 is also 2

Now let us find the equation of line with slope "m" = 2 and passes through point (-1, 3)

Substitute (x, y) = (-1, 3) in eqn 1 to find value of "c"

3 = 2(-1) + c

3 = -2 + c

c = 5

Now substitute "c" = 5 and m = 2 in eqn 1 to get equation of required line

y = 2x + 5

Thus the equation of line in slope intercept form is y = 2x + 5

4 0
2 years ago
A particle sits on a smooth surface and is acted upon by a time dependent horizontal force, giving it an
garik1379 [7]

(a) By the fundamental theorem of calculus,

<em>v(t)</em> = <em>v(0)</em> + ∫₀ᵗ <em>a(u)</em> d<em>u</em>

The particle starts at rest, so <em>v(0)</em> = 0. Computing the integral gives

<em>v(t)</em> = [2/3 <em>u</em> ³ + 2<em>u</em> ²]₀ᵗ = 2/3 <em>t</em> ³ + 2<em>t</em> ²

(b) Use the FTC again, but this time you want the distance, which means you need to integrate the <u>speed</u> of the particle, i.e. the absolute value of <em>v(t)</em>. Fortunately, for <em>t</em> ≥ 0, we have <em>v(t)</em> ≥ 0 and |<em>v(t)</em> | = <em>v(t)</em>, so speed is governed by the same function. Taking the starting point to be the origin, after 8 seconds the particle travels a distance of

∫₀⁸ <em>v(u)</em> d<em>u</em> = ∫₀⁸ (2/3 <em>u</em> ³ + 2<em>u</em> ²) d<em>u</em> = [1/6 <em>u</em> ⁴ + 2/3 <em>u</em> ³]₀⁸ = 1024

7 0
3 years ago
a. choose a credit card balance between $5,000 and $20,000, using a 16% APR (the current average credit card interest rate). b.
Scrat [10]

Answer:

344543

Step-by-step explanation:

88-3x=23y

6 0
3 years ago
Other questions:
  • Which of these is an example of continuous random variable?
    15·1 answer
  • How do I Round 53879 to the nearest hundred.
    14·2 answers
  • The state of Wisconsin would like to understand the fraction of its adult residents that consumed alcohol in the last year, spec
    7·1 answer
  • Algebra 1 help please<br> Picture included and will pick a brainliest answer. <br> Thanks in advance
    15·1 answer
  • How do u do this? HELPPPPPPPPPPPP
    12·2 answers
  • The length of the side of square A is 50% of the length of the square side expressing the area of ​​the shaded area of ​​square
    13·1 answer
  • the product of the zeros of the quadratic polynomial 2x square _3x _5c is 1by2 which of the following is the value of c​
    6·1 answer
  • 15 POINTS‼️‼️‼️<br><br> Part B: Solve for x. Show your work.
    10·1 answer
  • PLEASE HELP IS LINEAR INEQUALITIES !!
    10·1 answer
  • Stuck On this one too. Think I’m missing a step
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!