Answer:
"To the nearest year, it would be about 9 years"
Step-by-step explanation:
11c)
This is compound growth problem. It goes by the formula:

Where
F is the future amount
P is the present (initial) amount
r is the rate of growth, in decimal
t is the time in years
Given,
P = 20,000
r = 8% = 8/100 = 0.08
F = double of initial amount = 2 * 20,000 = 40,000
We need to find t:

To solve exponentials, we can take Natural Log (Ln) of both sides:

Using the rule shown below we can simplify and solve:

We can write:

To the nearest year, that would be about 9 years
The circumference of the new disc 160Π that is 10 time of old circumference.
Step-by-step explanation:
Given,
Circumference of circular disc = 16Π (pi = Π)
Let, the radius of the circle be 'r'
Formula
The circumference of a circle with r radius = 2 Π r
According to the problem,
2 Π r = 16Π
or, 2r = 16 ( by eliminating the value of Π from both the side)
or, r = 8
Now, we multiply the radius by 10
so, the new radius is 8 X 10 = 80
Now the circumference = 2 Π X 80
= 160Π
Hence, the new circumference also will be 10 times of the older one.
Answer:
x>5/3
Step-by-step explanation:
9<3x+4
3x+4>9
3x>9-4
3x>5
x>5/3
The median means the number that is in the middle of the spnumber sequence in least to greatest.
1) number the numbers up. 2,2,3,6,7
2) start by crossing off the last from the greatest. Then you can see that 3 is the median.
Answer:
2 x 2 x 7, or 2^2 x 7
Step-by-step explanation:
Let us use prime factorization to find the prime numbers that make up 28:
28 = 2 x 14
2 is a prime number, 14 is not, so we have our first prime, 2.
14 = 2 x 7
We then further break the number down into two prime numbers, 2 and 7. Since 2 and 7 are prime and we can't break them down any further our answer is 2 x 2 x 7, or 2^2 x 7.