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
Nastasia [14]
3 years ago
15

a population grows at a rate of 6%. if the population is currently 254, write an equation that gives the population x years from

now.
Mathematics
1 answer:
spayn [35]3 years ago
6 0
You will need to use the compound growth formula - this is...
final number = starting number * (multiplier ^ number of years)

We can turn the 6% into a multiplier by dividing it by 100 and adding 1 on to it:
6/100 = 0.06
0.06+1 = 1.06

Then we can say that the starting number is 254 and the number of years is X, we can then place this all into the original formula:
Final population = 254 * (1.06 ^ X)

Hope this helps! :)
You might be interested in
Please help me out please
____ [38]

Answer:

(500π)÷3

Step-by-step explanation:

area=4πr^2 , volume=4(πr^3)÷3

area=100π ,so r=5

6 0
3 years ago
Read 2 more answers
Mr. Yoshi has 75 papers. He graded 60 papers and he had a student teacher grade the rest. What percent of the papers did each gr
Ivenika [448]

Answer:

Student=20%

Teacher=80%

Step-by-step explanation:

60/75 x100

= 80

100-80

=20

7 0
3 years ago
Janet Woo decided to retire to Florida in 6 years. What amount should Janet invest today so she can withdraw $51,500 at the end
Elina [12.6K]

Answer:

$293,562.707

Step-by-step explanation:

As for the provided details we know,

Janet needs $51,500 from end of 7th year for upcoming 20 years.

The present value of 20 installments of $51,500 shall be @ 6% from year 7 to year 8.0858

Thus total value = $51,500 \times 8.0858 = $416,418.7

Now the compound interest factor for 6 year @ 6 % = 1.4185

Thus, value to be invested today = $416,418.70/1.4185 = $293,562.707

As this when compounded annually will provide the balance as required at the end of 6 years.

7 0
3 years ago
The sum of the ages of Jose and Rachael is 63 years. 12 years ago, Jose's age was 2 times Rachael's age. How old is Jose now?
Drupady [299]

Answer:

Jose is 54years Rachael is 38years

Step-by-step explanation:

Jose=x-12

Rachael=x-12/2

sum of their ages x-12+x-12/2=63

collect like terms

x=54years

Jose =54years

Rachael=38years

6 0
3 years ago
Please help me I am having a hard time with this activity
zysi [14]

Answer:

Step-by-step explanation:

b.

\frac{a^2+6a+9}{a^2-9} *\frac{3a-9}{a+3} \\=\frac{a^2+2*a*3+3^2}{a^2-3^2} *\frac{3(a-3)}{a+3} \\=\frac{(a+3)^2}{(a+3)(a-3)} *\frac{3(a-3)}{a+3} \\=\frac{3(a+3)^2}{(a+3)^2} \\=3

d.

\frac{3x^2-6x}{3x+1} *\frac{x+3x^2}{x^2-4x+4} \\=\frac{3x(x-2)}{3x+1} *\frac{x(1+3x)}{x^2-2x-2x+4} \\=\frac{3x(x-2)}{3x+1} *\frac{x(1+3x)}{x(x-2)-2(x-2)} \\=\frac{3x(x-2)}{3x+1} *\frac{x(1+3x)}{(x-2)(x-2) } \\=\frac{3x^2}{x-2)}

e.

\frac{2x^2-10x+12}{x^2-4} *\frac{2+x}{3-x} \\=\frac{2[x^2-5x+6]}{x^2-2^2} *\frac{2+x}{-(-3+x)} \\=\frac{2[x^2-2x-3x+6]}{(x+2)(x-2)} *\frac{x+2}{-(x-3)} \\=\frac{2[x(x-2)-3(x-2)]}{(x+2)(x-2)} *\frac{x+2}{-(x-3)} \\=\frac{2(x-2)(x-3)}{(x+2)(x-2)} *\frac{x+2}{-(x-3)} \\=\frac{2}{-1} \\=-2

k.

\frac{6x^2-11x-10}{6x^2-5x-6} *\frac{6-4x}{25-20x+4x^2} \\=\frac{6x^2-15x+4x-10}{6x^2-9x+4x-6} *\frac{-4x+6}{4x^2-10x-10x+25} \\=\frac{3x(2x-5)+2(2x-5)}{3x(2x-3)+2(2x-3) } *\frac{-2(2x-3)}{2x(2x-5)-5(2x-5)} \\=\frac{(2x-5)(3x+2)}{(2x-3)(3x+2)} *\frac{-2(2x-3)}{(2x-5)(2x-5)} \\=\frac{-2}{2x-5}

7 0
3 years ago
Other questions:
  • Draw the number 24 then draw a quick picture to show 24 after you have to regrouped 1 ten as 10 ones explain how both pictures s
    14·1 answer
  • If the hypotenuse of a right triangle is 2 cm and one leg is √ 3 cm, the exact length of the other leg is _______ cm.
    14·2 answers
  • if a number is multiplied by it self then multiplied by another number and equals 150 what are the 2 numbers!
    12·1 answer
  • 8/14 + 32/14 + 7/14 =
    10·1 answer
  • Determine whether 69 is divisible by 3
    12·2 answers
  • What is the area of this trapezoid? 86 in² 112 in² 148 in² 184 in² Trapezoid A B C D with parallel sides D C and A B. Point F an
    11·1 answer
  • Can you help on my math problems
    11·1 answer
  • Find the area of a circle whose area equals the half of the sum of the areas of two circles with radil 2 and 3.
    7·1 answer
  • Rewrite 1/2 * 1/2 * 1/2 as an exponential expression with a base of 2.
    5·1 answer
  • If x = 7, then 7 = x is an example of which property
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!