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
sergeinik [125]
2 years ago
11

In 1992, South Dakota's population was 10 million. Since then, the population has grown by 1.4% each year. Based on this, when w

ill the population reach 20 million?
Mathematics
2 answers:
ella [17]2 years ago
8 0

Answer:

  • 49.9 years or 50 years later.
  • At year : 2042

Explanation:

use compound interest formula:  \sf \boxed{ \sf P ( \sf 1 + \dfrac{r}{100} )^n}

\rightarrow \s \sf 10( 1 + \dfrac{1.4}{100} )^n = 20

\rightarrow \sf ( 1.014) ^n = 2

\rightarrow \sf n( ln( 1.014) ) = ln(2)

\rightarrow\sf n = \dfrac{ln(2)}{ln( 1.014)}

\rightarrow\sf n = 49.8563 \ years

mel-nik [20]2 years ago
4 0

Answer:

General form of an exponential equation:  y=ab^x

where:

  • a is initial value
  • b is the base (or growth factor in decimal form)
  • x is the independent variable
  • y is the dependent variable
  • If b > 1 then it is an increasing function
  • If 0 < b < 1 then it is a decreasing function
  • Also b ≠ 0

Given information:

  • initial population = 10 million
  • growth rate = 1.4% each year

⇒ growth factor = 100% + 1.4% = 101.4% = 1.014

Inputting these values into the equation:

\implies y=10(1.014)^x

where y is the population (in millions) and x is the number of years since 1992

Now all we need to do is set y = 20 and solve for x:

\implies 10(1.014)^x=20

\implies 1.014^x=2

\implies \ln 1.014^x=\ln 2

\implies x\ln 1.014=\ln 2

\implies x=\dfrac{\ln 2}{\ln 1.014}

\implies x=49.85628343...

1992 + x = 2041.8562....

Therefore, the population will reach 20 million during 2041, so the population will reach 20 million by 2042.

You might be interested in
A rectangle’s length is 5 inches more than twice its width. its area is 50 square inches. which equation can be used to find its
OLga [1]

The equation of the area of the rectangle is w(2w + 5) = 50. Then the correct option is C.

<h3>What is a rectangle?</h3>

It has four sides and is a polygon. The internal angle adds up to 360 degrees. The opposite sides of a rectangle are parallel and equal, and each angle is 90 degrees. Its diagonals are equally equal, intersecting in the middle.

A rectangle’s length is 5 inches more than twice its width. its area is 50 square inches.

Let the width of the rectangle be w, then the length of the rectangle will be (2w + 5).

Then the area of the rectangle is given as

Area = l × w

Then we have

w(2w + 5) = 50

More about the rectangle link is given below.

brainly.com/question/10046743

8 0
1 year ago
How can you determine if a triangle is a right triangle given the 3 side lengths?
sveta [45]

Answer:

To know that a triangle is right angled triangle we will have to apply pythagoras theorem to verify it

Like length 3, 4 and 5 are leghts of right angled triangle

5 0
2 years ago
Ariana bought 5 dozen pears at $36 per dozen . She discovered that 7 were rotten and she sold the rest at $4.50 each . Calculate
GrogVix [38]

Step-by-step explanation:

1 dozen = 12 pears

12 pears = $36

1 pear = 36/12 = $3

Total Cost of Pears = No. of pears x price of 1 pear

= (5x12) x 3

= 60 x 3

= $180

Sale of Pears = Price per pear x (Total Pears bought - Rotten Pears)

= $4.50 x (5x12-7)

= $4.50 x 53

= $238.50

Profit/Loss = Sale of Pears - Total Cost of Pears

= $238.50 - $180

= $58.50

Ariana made a profit of $58.50.

5 0
3 years ago
Read 2 more answers
Can someone please help me with math.
OlgaM077 [116]

Answer:

I got the first three but that's all I can do for now I have class as well currently. But for number 7 = 0, 8=15, 9= 71 and yeah best of luck on the last three.

5 0
3 years ago
Read 2 more answers
Please answer I really need help with these just answer at least one.
aleksandrvk [35]
.50(150)+30=$105
8(32)+12 = $268
7 0
2 years ago
Other questions:
  • A square has sides 5.3cm long. Work out the area of the square
    15·1 answer
  • Sandra needs 6 pieces of rope, each measuring 8 inches in length. She is going to cut the 6 pieces from a rope that is 84 inches
    10·1 answer
  • A school basketball team has an expense account and a fundraising account. After t
    13·1 answer
  • ASAP HELP
    15·1 answer
  • Please help me with this
    14·1 answer
  • From the beginning of cross- country season to end, Tisha reduced her time by 17%, Ankara reduced her by 1/6, Juanita reduced he
    15·1 answer
  • F(x) = x ^ 2 + 6x - 4 in vertex form
    14·2 answers
  • 11x = 57 pls tell i will give extra points for correct answer
    9·2 answers
  • The table shows which school subjects are favored by a group of students. Predict the number of students out of 400 that would p
    15·2 answers
  • Please help me Asap!! I don't have much time to answer this. Will give brainliest!<br> NO LINKS!!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!