Answer:
Step-by-step explanation:
We can use the exponential growth formula:
y = a(1+r)ˣ
where
y = amount after x time
a = initial amount
r = growth rate as a decimal fraction
x = number of years
Data:
a = 170 000
r = 0.04
Calculations:
The figure below also shows that the population will grow to about 272 000 in 12 yr.
When you divide a variable with an exponent by a variable with an exponent, you subtract the exponents (only if the bases/variables are the same)
For example:
Since they have different variables (x and y), you can't simplify this anymore
( if the exponent happens to come out negative, you have to move the variable and the exponent to the other side of the fraction to make the exponent positive)
Ex:
SInce they all have a common factor of 4, you can divide out -4
If you follow the steps from ^^^^^^^, you should get
Make the fractions into common denominators
turn 1/2 into 2/4 (common denominator of 4 with 1/4)
then add them
8+7 is 15
1/4+2/4 is 3/4
15+3/4 is 15 3/4
I suppose the third term should say -10/3, not -103.
Notice that
-2 = -6/3
-4 = -12/3
so that, starting with the first term <em>a</em>(1) = -6/3, the every following term is obtained by subtracting 2/3.
-2 - 2/3 = -6/3 - 2/3 = -8/3
-8/3 - 2/3 = -10/3
-10/3 - 2/3 = -12/3 = -4
and so on.
So the recursive rule is
<em>a</em>(1) = -2,
<em>a</em>(<em>n</em> + 1) = <em>a</em>(<em>n</em>) - 2/3, for <em>n</em> ≥ 1
or C.
Answer:
13 songs .
Step-by-step explanation:
The total number of songs recorded =
16 + 62.5 % of 16
= 16 * 1.625
= 26.
if 50% are removed the 26-13 = 13 songs are in the final album.
