All categories

3 years ago

Write an equation to the model scenario.

1 answer:

7 0

This is exponential growth of the form

f=ir^t, f=final amount, i=initial amount, r=rate, t=time, in this case we know a=20 and r=2 so

f=20(2^t)

You might be interested in

There is a line that includes the point (6,9) and has a slope of 3. What is its equation in

Nostrana [21]

Answer:

y=3x-9

Step-by-step explanation:

6 0

3 years ago

X^2-12x+12=0 completing the square

Makovka662 [10]

Answer:

x1 = 6 + 2√6 or x2 = 6 - 2√6

Step-by-step explanation:

x² - 12x + 12 = 0

We need to use formula:

a² - 2ab + b² = (a - b)².

x² - 12x = - 12

x² - 2*6x + 6²- 6² = - 12

(x - 6)² - 36 = -12

(x - 6)² = - 12 + 36

(x -6)² = 24

(x - 6) = √24 or (x-6) = -√24

(x - 6) = 2√6 or (x-6) = - 2√6

x = 6 + 2√6 or x = 6 - 2√6

3 0

3 years ago

A square pyramid is shown:

Colt1911 [192]

Area of triangles:
0.5x9=4.5
4.5x2=9 (i divided 4 (the amount of triangles) by 2 instead of dividing 4.5 by 2)

area of square:
0.5x0.5=0.25

surface area of whole thing:
9+0.25=9.25

so the answer is 9.25

hope this helps :)

7 0

3 years ago

given a geomatric progression 2,6,18,54... find the smallest value of n such that the nth term is greater than 100000

stiks02 [169]

Answer:

hello,

Step-by-step explanation:

$u_1=2=2*3^0\\u_2=6=2*3^1\\u_3=18=2*3^2\\u_4=54=2*3^3\\\\....\\u_n=2*3^{n-1}\geq 100000\\\\3^{n-1}\geq 50000\\\\(n-1)*ln(3)\geq ln(50000)\\\\n-1\geq 9,848586...\\\\n\geq 10.848586....\\\\\boxed{n=11}\\$

6 0

2 years ago

What is the volume of a sphere with radius 4?<br> Round to the nearest whole number.

Lubov Fominskaja [6]

Answer:

268.08

rounded number- 268

find the number in the whole number place, 8, and look one place to the right for the rounding digit on the right side of the decimal point, 0. round up if this number is greater than or equal to 5, and round down if it is less than 5.

formula for sphere volume- 4/3 (pie- 3.14) r^2

7 0

3 years ago