Simplify (2x + 3)(x – 4) = ?
1 answer:
<span>Solutions
1) Equation
</span>⇒ <span><span>(<span><span>2x</span>+3</span>)</span><span>(<span>x−4</span>)
</span></span>⇒<span><span>(<span><span>2x</span>+3</span>)</span><span>(<span>x+<span>−4</span></span>)
</span></span>⇒<span>(2x)(x)+(2x)(−4)+(3)(x)</span>+<span>(3)(−4)
</span>⇒2
<span><span><span>−<span>8x</span></span>+<span>3x</span></span>−12
</span>⇒2 <span><span>−<span>5x</span></span>−<span>12
Answer - </span></span>2 <span>−5x−12</span><span>
</span>
1) Equation
</span>⇒ <span><span>(<span><span>2x</span>+3</span>)</span><span>(<span>x−4</span>)
</span></span>⇒<span><span>(<span><span>2x</span>+3</span>)</span><span>(<span>x+<span>−4</span></span>)
</span></span>⇒<span>(2x)(x)+(2x)(−4)+(3)(x)</span>+<span>(3)(−4)
</span>⇒2
</span>⇒2
Answer - </span></span>2
</span>
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Answer:
a)
The function that represents the value of the account at any time, t
b)
The total amount accrued, principal plus interest, from compound interest on an original principal of $ 5,500.00 at a rate of 3.75% per year compounded continuously over 6 years is $ 6,887.77.
Step-by-step explanation:
a. Write the function that represents the value of the account at any time, t.
The function that represents the value of the account at any time, t
where
A represents the Future Value
P represents the Principle (Initial Value)
r represents the Interest rate
t represents the time
b) What will the value be after 6 years?
Given
The principal amount P = $5500
Annual Rate r = 3.75% = 3.75/100 = 0.0375
Time Period t = 6 years
To Determine:
The total amount A = ?
Using the formula
substituting the values
$
Therefore, the total amount accrued, principal plus interest, from compound interest on an original principal of $ 5,500.00 at a rate of 3.75% per year compounded continuously over 6 years is $ 6,887.77.
Answer:
x = StartFraction negative 5 plus or minus StartRoot 5 EndRoot Over 2 EndFraction
Step-by-step explanation:
we know that
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
equate the function to zero
so
substitute in the formula
therefore
x = StartFraction negative 5 plus or minus StartRoot 5 EndRoot Over 2 EndFraction