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
aniked [119]
3 years ago
11

in sub-Saharan African an estimated 28.5 million people are infected with AIDS. Unfortunately that number is rising. and it is e

stimated to grow at a rate of .4% every 2 years. How many people will be infected in 3 years
Mathematics
1 answer:
Viktor [21]3 years ago
8 0

Answer:

About 28,671,342 people

Step-by-step explanation:

This is compound growth problem. This goes by the formula:

F=P(1+r)^t

Where

F is the future amount (in 3 years)

P is the present amount (28.5 million)

r is the rate of growth (0.4% = 0.4/100 = 0.004)

t is the time in years (3 years)

We first, need to find the rate of growth annually. It is given 0.4% every 2 years, so in 1 year that would be:

0.4%/2 = 0.2% = 0.002

Now, we put the information into formula and solve:

F=P(1+r)^t\\F=28500000(1+0.002)^3\\F=28500000(1.002)^3\\F=28,671,342

So, around 28,671,342 people will be infected in 3 years.

You might be interested in
An airliner maintaining a constant elevation of 2 miles passes over an airport at noon traveling 500 mi/hr due west. At 1:00 PM,
butalik [34]

Answer:

\frac{ds}{dt}\approx 743.303\,\frac{mi}{h}

Step-by-step explanation:

Let suppose that airliners travel at constant speed. The equations for travelled distance of each airplane with respect to origin are respectively:

First airplane

r_{A} = 500\,\frac{mi}{h}\cdot t\\r_{B} = 550\,\frac{mi}{h}\cdot t

Where t is the time measured in hours.

Since north and west are perpendicular to each other, the staight distance between airliners can modelled by means of the Pythagorean Theorem:

s=\sqrt{r_{A}^{2}+r_{B}^{2}}

Rate of change of such distance can be found by the deriving the expression in terms of time:

\frac{ds}{dt}=\frac{r_{A}\cdot \frac{dr_{A}}{dt}+r_{B}\cdot \frac{dr_{B}}{dt}}{\sqrt{r_{A}^{2}+r_{B}^{2}} }

Where \frac{dr_{A}}{dt} = 500\,\frac{mi}{h} and \frac{dr_{B}}{dt} = 550\,\frac{mi}{h}, respectively. Distances of each airliner at 2:30 PM are:

r_{A}= (500\,\frac{mi}{h})\cdot (1.5\,h)\\r_{A} = 750\,mi

r_{B}=(550\,\frac{mi}{h} )\cdot (1.5\,h)\\r_{B} = 825\,mi

The rate of change is:

\frac{ds}{dt}=\frac{(750\,mi)\cdot (500\,\frac{mi}{h} )+(825\,mi)\cdot(550\,\frac{mi}{h})}{\sqrt{(750\,mi)^{2}+(825\,mi)^{2}} }

\frac{ds}{dt}\approx 743.303\,\frac{mi}{h}

6 0
3 years ago
BRAINLIEST & 50 POINTS
MakcuM [25]

Answer:

y-2=-4(X-4)

Step-by-step explanation:

4 0
3 years ago
Solve the system of linear equations by substitution 12x+y=−4 y=2x+16
ki77a [65]

Answer:

Your solution is (-10/7, 92/7)

Step-by-step explanation:

12x + y = -4

y = 2x + 16

To use substitution, we want to plug one variable's equation into the other equation.

We can see that y is already solved for us. Plug y into the first equation.

12x + y = -4

12x + (2x + 16) = -4

Combine like terms.

14x + 16 = -4

Subtract 16 from both sides.

14x = -20

Divide both sides by 14.

x = -20/14

x = -10/7

Now that we know x, we will plug it into one of the other equations.

y = 2x + 16

y = 2(-10/7) + 16

Multiply.

y = -20/7 + 16

Add.

y = -20/7 + 112/7

y = 92/7

Your solution is (-10/7, 92/7)

Hope this helps!

8 0
2 years ago
Multiply 2x(x2 + 5).<br> 2x3 + 10x2<br> 2x3 + 10x<br> 2x2 + 10x<br> 2x3 + 5x
Alex_Xolod [135]

<em>Hope</em><em> </em><em>this</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em><em>.</em>

6 0
3 years ago
What websites are similar to brainly?
Maslowich

Websites similar to Brainly: Quizlet and Socratic

Can I pls have brainliest :(

7 0
2 years ago
Other questions:
  • Two times the square of five more than a number is seventy-two. Write an equation that models this situation. Solve the equation
    13·1 answer
  • I need help solving<br> simplify 12 over 14
    14·2 answers
  • PLEASE SOMEONE HELP ME OUT I DON'T UNDERSTAND HOW TO DO THIS ! I WILL GIVE BRAINLIEST FOR YOUR ANSWER
    5·2 answers
  • There was a surplus of office space in a city, with 400,000 square feet, or 16% of the total office space, vacant. How much offi
    12·1 answer
  • Error error error error
    11·1 answer
  • The length and breadth of a rectangle are in the ratio 5 : 3. if the length is 250 m, find the breadth.
    15·1 answer
  • FLIP THE PIC<br><br>PLEASE HELP MEEEEEEEEEEEEEEEEEEEE​
    10·1 answer
  • Which expression is equivalent to 4x2−(8x−4x2)+5+(4x−10)?
    7·2 answers
  • For the quadratic function f(x) = x2 + 8x + 12 in standard form, find the following key features:
    15·1 answer
  • You want to obtain a sample to estimate a population proportion. at this point in time, you have no reasonable estimate for the
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!