Answer:
Step-by-step explanation:
On the first day, Ben (B) starts with 10 tubs and Winston (W) starts with 0 tubs.
After the first day, Ben sells 8 tubs per day while Winston sells 9 tubs per day.
Therefore we can write the following equation: (Where d = number of days)
B = 10 + 8d
W = 0 + 9d = 9d
We are told that eventually they will sell the same amount which means
B = W
This means we can say,
10 + 8d = 9d
If we subtract 8d from both sides we get
10 = d
Therefore it will take 10 days for them to sell the same amount of cookie dough.
Answer:


Step-by-step explanation:
We are given that there is an exponential decay.
Also, the decrease is of constant rate 7.9% i.e. 0.079 each year.
Since, the initial amount of the species is atleast 26 million.
Thus, the inequality for the corresponding model will be,
,
where t is the time period for the decay and P is the population.
Moreover, is is given that the population cannot be less than 2 million.
So, we get,
.
Hence, the inequalities to determine the possible number of insects over time are given by,

.
Answer:
b ≈ 7.54 cm
Step-by-step explanation:
Pythagorean Theorem
a² + b² = c²
a and b are the sides and c is the hypotenuse
hypotenuse is 11 cm
a side is 8 cm
so
8² + b² = 11²
64 + b² = 121
-64 -64
b² = 57
√b² = √57
b ≈ 7.54 cm ( use ≈ because its rounded so its not exact)