Answer:
<h2>d = 31</h2>
Step-by-step explanation:
a = bc - d
Substitute a = -16, b = 3 and c = 5:
-16 = (3)(5) - d
-16 = 15 - d <em>subtract 15 from both sides</em>
-16 - 15 = 15 - 15 - d
-31 = -d <em>change the signs</em>
31 = d
Answer:
x = 35° , y = 90°
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
145° is an exterior angle of the triangle , then
y + 55° = 145° ( subtract 55° from both sides )
y = 90°
the sum of the 3 angles in a triangle = 180° , then
x + y + 55° = 180°
x + 90° + 55° = 180°
x + 145° = 180° ( subtract 145° from both sides )
x = 35°
Expand (x+2)^2: x^2 + 4x + 4 : remember that (a+b)^2 = a^2 + 2ab + b^2
So: x^2 + 4x + 4 - x^2 = 60
Answer:
<em>It will take 9 years for the population to double</em>
Step-by-step explanation:
<u>Exponential Growth
</u>
The natural growth of some magnitudes can be modeled by the equation:

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
The population of a city grows at a rate of r=8% = 0.08 per year. We are required to find when (t) the population will double, or P=2Po.
Substituting in the equation:

Simplifying:

Taking logarithms:

Applying the exponent property of logs:

Solving for t:

Calculating:

It will take 9 years for the population to double