Answer: x = -0.377
Step-by-step explanation:
We have the equation:
4^(5*x) = 3^(x - 2)
Now we can use the fact that:
Ln(A^x) = x*Ln(A)
Then we can apply Ln(.) to both sides of the equation to get:
Ln(4^(5*x)) = Ln(3^(x - 2))
(5*x)*Ln(4) = (x - 2)*Ln(3)
(5*x)*Ln(4) - x*Ln(3) = -2*Ln(3)
x*(5*Ln(4) - Ln(3)) = -2*Ln(3)
x = -2*Ln(3)/(5*Ln(4) - Ln(3)) = -0.377
When the insurance company want a plan with a deductible of $4,000, they need to charge a minimum of $18000 for premiums.
<h3>What is a deductible?</h3>
It should be noted that a deductible simply means the amount of money that is paid out of the pocket of the policy holder.
From the information given, each accident costs $18,000 on average. Therefore, this is the minimum amount of premium.
When they want a plan with a premium of $1,000, the amount that they'll need to charge for deductibles will be:
= (4000/18000) × 1000
= $220
Learn more about deductible on:
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Answer:
f(4) = 24
Step-by-step explanation:
Plug in 4 for x in the equation:
f(x) = x² + 3x - 4
f(4) = (4)² + 3(4) - 4
Remember to follow PEMDAS. PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
and is the order of operation.
First, solve the power:
(4)² = 4 * 4 = 16
Next, multiply 3 with 4:
3 * 4 = 12
Next, combine the terms:
f(4) = 16 + 12 - 4
f(4) = (16 + 12) - 4
f(4) = 28 - 4
f(4) = 24
f(4) = 24 is your answer.
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Answer:
x=4
Step-by-step explanation:
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