Answer: 644,800
Step-by-step explanation:
This can also be solved using the terms of Arithmetic Progressions.
Let the 13 years be number of terms of the sequences (n)
Therefore ;
T₁₃ = a + ( n - 1 )d , where a = 310,000 and d = 9% of 310,000
9% of 310,000 = 9/100 x 310,000
= 27,900
so the common difference (d)
d = 27,900
Now substitute for the values in the formula above and calculate
T₁₃ = 310,000 + ( 13 - 1 ) x 27,900
= 310,000 + 12 x 27,900
= 310,000 + 334,800
= 644,800.
The population after 13 years = 644,800.
Answer:
Please read the answer below.
Step-by-step explanation:
1. Let's represent the relationship between red pepper flakes, in teaspoons, to tomato mix, in cups in a table
Red pepper (teaspoons) 1/2 1 1 1/2 2 2 1/2 3 3 1/2 4 4 1/2 5
Tomato mix (cups) 2 4 6 8 10 12 14 16 18 20
2. Let's represent the relationship between red pepper flakes, in teaspoons, to tomato mix, in cups writing a equation:
t = amount of tomato mix cups
r = amount of red pepper flakes teaspoons
As we can see in the table,
<u>t = 4r</u>
Answer:
x = - 2, x = 9
Step-by-step explanation:
Given
f(x) = 
The denominator of f(x) cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the values that x cannot be.
x² - 7x - 18 = 0
(x - 9)(x + 2) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 9 = 0 ⇒ x = 9
The excluded values are x = - 2, x = 9
Notice that the triangle is a right triangle, because of the right angle. By the Pythagorean Theorem,
. Then
, d. 8 m
Answer:
x = 5
Step-by-step explanation:
2 = x-3
<em>Adding 3 to both sides</em>
2+3 = x
5 = x
<u><em>OR </em></u>
x = 5
