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
Vlad1618 [11]
3 years ago
13

in 1900, greenville had a population of 4000 people. Greenville's population increased by 100 people each year. Springfield had

a population of 1000 people. Springfields population increased bu 4% each year. In what year were the populations about equal?
Mathematics
1 answer:
jasenka [17]3 years ago
5 0

Answer: year 1948

Step-by-step explanation:

1900 is our t = 0

The population of Greenville can be written as:

G = 4000 + 100*t

the equation for Springfield can be written as:

S = 1000*(1.04)^t

we want to find the value of t that makes S(t) = G(t)

4000 + 100*t = 1000*(1.04)^t

(4000 + 100*t) = 1.04^t

4 + 0.1*t = 1.04^t

now, you can graph both of this equations (left side and right side) and see in wich value of t the graphs intersect eachother, or you also may use different values of t until the values are about the same for both sides, which is the thing i did with the equation:

4 = 1.04^t - 0.1*t

You will find that the correct value is t = 48

So we can assume that in year 1948 the populations will be about the same.

You might be interested in
If x^2+y^2=73 and xy=24, what is the value of (x+y)^2? And Why?
nydimaria [60]
(x+y)^2=x^2+y^2+2xy=73+2*24=73+48=121

⇒ (x+y)^2=121
7 0
3 years ago
The sum of a number X and 1/2 equal to four which set of equations correctly represents X
tamaranim1 [39]

Answer:

D. 3 1/2

Step-by-step explanation:

Sum means addition (+)

Sum of a number, x and 1/2=4

This means the addition of the two numbers

x+1/2=4

Make x the subject of formula

x=4-1/2

Finding the L.C.M

= 8-1/2

x=7/2

x=3 1/2

4 0
3 years ago
Set up an equation that can be used to solve the problem. Solve the equation and determine the desired value.
Nataly [62]

Answer:  $454.55

Step-by-step explanation:

Tito's weekly salary is always $ 500 per week.

But your weekly commission income depends on the sales you make. Your commissions are 55%.

If we call x the dollar amount of all sales made by Tito in a week, then his income z(x) is given by the following equation:

z (x) = 0.55x + 500

We wish that z (x) = 750.

Then we equate the equation to 750 and solve for the variable x.

0.55x + 500 = 750\\\\0.55x + 500-500 = 750-500\\\\0.55x = 250

\frac{0.55}{0.55}x = \frac{250}{0.55}

x = \$\ 454.55

Total sales made by Tito must be $454.55

7 0
2 years ago
James would like to learn how to make omelettes. He polls his family about the number of eggs they each use to make one. He gets
Dmitry_Shevchenko [17]

Answer:

2 eggs

Step-by-step explanation:

Mean is average, so add all the numbers together then divide by how many numbers there are.

3 + 3 + 2+ 3 + 1 + 2 + 1 + 1 = 16

16 ÷ 8 = 2

4 0
2 years ago
The equation P=6s represents the perimeter P of a regular hexagon with side length s. What is the perimeter of a regular hexagon
Verdich [7]

we know that s = 3, so plug it in.

P = 6(3)

P = 18

perimeter = 18 km

6 0
2 years ago
Read 2 more answers
Other questions:
  • Out of a population of 1,500 students, 100 were asked by a random sampling to choose their favorite national park. Their respons
    11·2 answers
  • What would be the answer
    6·2 answers
  • Daniel Potter bought a new car for $20,000.00. Two years later, he wanted to sell it. He was offered $14,650.00 for it. If he so
    8·2 answers
  • The longest side of an eye cute isosceles triangle is 8 cm round to the nearest 10th what is the smallest possible length of one
    8·1 answer
  • in gym class, you run 3/5 mile. your coach runs 10 times that distance each day. how far does your coach run each day?
    10·2 answers
  • Aubrey is making cone-shaped hats for a birthday party. She mistakenly thinks that she will need about 104 square inches of pape
    11·2 answers
  • Can 8 go into 3? plz answer
    8·1 answer
  • #7: Cole plans to purchase a car that depreciates at a rate of 9.2% per
    11·1 answer
  • Mariah went to the store to buy a coat. The coat originally cost $120.00. Mariah used a coupon
    12·2 answers
  • It takes Hoai 20 minutes to walk to his friend's house 7/8 mile away.<br> What is his walking pace?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!