Answer:
Step-by-step explanation:
The equation for the amount of money in an account after a certain amount is deposited and compounded after t years once per year is

Our A(t) = 33800, P = 4400, r = .075 and we are looking for t. Filling in:
and

Begin by dividing both sides by 4400 to get

The only way to move that t our from its current position as an exponent is to take the natural log of both sides and follow the rules for natural logs:

The power rule of natural logs says we can move that exponent down in front, giving us:

Divide both sides by ln(1.075) to get

Do this division on your calculator to get
t = 28.2 years
Using it's concept, it is found that the coefficient of the mathematical expression 7m² + 2(19) is of 7.
<h3>What is the leading coefficient of a polynomial?</h3>
The leading coefficient of a polynomial is the <u>term that multiplies the highest exponent</u>.
In this problem, the expression is given by:
7m² + 19.
The highest exponent is of 2, in m², hence the leading coefficient is of 7.
More can be learned about the coefficient of a mathematical expression at brainly.com/question/24380382
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Answer:
a = x² + 3x - 40
Step-by-step explanation:
a = l * w
a = (x - 5)(x + 8)
a = x(x + 8) - 5(x + 8)
a = (x² + 8x) + (- 5x - 40)
a = x² + 3x - 40
Answer:
6(4a+1)
Step-by-step explanation: