Answer:
Geometric sequence
Step-by-step explanation:
According to the scenario, computation of the given data are as follows:
Leaves on tree this year (a) = 500
Rate of increase in leaves per year (r) = 40 % or 0.4
Let n be the number of years.
So we use exponential growth formula, i.e.
f(n) = a(1+r)^n
by putting the value, we get
f(n) = 500 ( 1+0.4)^n
or f(n) = 500 (1.4)^n
So, the common ration is 1.4.
Thus, it shows a geometric sequence.
8.71 xx10^(12)
The exponent is a positive number. This means the decimal point moves to the right by the number of the exponent.
There are two digits to the right of the decimal point, so to move the decimal 12 places, you would need to add 10 zeros.
8.71 x 10^12 becomes 8,710,000,000,000.
Answer:
Takeru bought 72 eggs and baked 18 soufflés .
Step-by-step explanation:
Let
e = number of eggs Takeru bought.
s = number of soufflés Takeru bought.
Then we know that Takeru bought 4 times as many eggs as he baked soufflés, therefore:

And since for every soufflés Takeru bakes he uses 3 eggs, and after backing he has 18 eggs left, we have:
<em>This says that from
eggs there are 18 eggs left after Tkeru used three eggs for each soufflé.</em>
Now we have two equations:


We put the value of e from equation (1) into equation (2) and solve for s and get:


Thus
Number of eggs Takeru bought = 72.
Number of soufflés Takeru bought = 18.