Answer:
P(t) = 27000 * (1/9)^(t/4)
Step-by-step explanation:
This problem can me modelled with an exponencial formula:
P = Po * (1+r)^t
Where P is the final value, Po is the inicial value, r is the rate and t is the amount of time.
In this problem, we have that the inicial population/value is 27000, the rate is -8/9 (negative because the population decays), and the time t is in months, so as the rate is for every 4 months, we use the value (t/4) in the exponencial.
So, our function will be:
P(t) = 27000 * (1-8/9)^(t/4)
P(t) = 27000 * (1/9)^(t/4)
The second one is the only positive besides 4th but the second and first are the only 1861 so ide have to say the second one
<span>1 - All real numbers are rational numbers. FALSE
All real numbers are NOT rational numbers. The real numbers are made up of rational numbers and irrational numbers.
2 - Some rational numbers are natural numbers. TRUE
All natural number are rational numbers but not all rational numbers are natural numbers. Thus, some rational numbers are natural numbers.
3 - No real numbers are irrational numbers. FALSE
</span><span>The real numbers are made up of rational numbers and irrational numbers.
Thus, some real numbers are natural numbers.
4 - All whole numbers are integers. TRUE
The whole numbers are the natural numbers plus 0. The integers comprises of the whole numbers plus the negative of the whole numbers.
Thus, all whole numbers are integers.
5 - Some integers are natural numbers. TRUE
</span>The integers comprises of the whole numbers plus the negative of the whole numbers. <span><span>The whole numbers are the natural numbers plus 0. The natural numbers are the counting numbers, i.e. 1, 2, 3, . . . which are also part of integers.
Thus, some integers are natural numbers.
</span>6 - No rational numbers are integers.
FALSE
The rational numbers are made up of the integers and any number that can be expressed as a fraction.</span>
Thus, all integers are rational numbers and some rational numbers are integers.
The image of the diagram is missing, so i have attached it.
Answer:
a = 30°
Step-by-step explanation:
From the diagram attached, we can see that the 2 angles a and 5a are interior supplementary angles.
The sum of interior supplementary angles is 180°
Thus;
5a + a = 180
6a = 180
a = 180/6
a = 30°
