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Viktor [21]
3 years ago
5

What is the value of x if e^3x+6=8

Mathematics
2 answers:
Ber [7]3 years ago
5 0

e^{3x+6}=8\to\ln e^{3x+6}=\ln8\iff3x+6=\ln8\qquad|-6\\\\3x=\ln8-6\qquad|:3\\\\\boxed{x=\dfrac{\ln8-6}{3}}\\\\\text{used:}\\\\\log_aa^n=n

stepladder [879]3 years ago
5 0

Answer:

A.

Step-by-step explanation:

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Please help with all 3 questions and show all work thank you.
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67000 dollars is placed in an account with an annual interest rate of 8.25%. how much will be in the account after 28 years, to
anastassius [24]

Answer:

The Amount of money in the account after 28 years is $616,674.5

Step-by-step explanation:

Given as :

The principal amount placed in the account = p = $67,000

The rate of interest = r = 8.25%

The time period of amount in the account = t = 28

Let the Amount of money in the account = $A

Now<u>, From Compound Interest method</u>

Amount = Principal × (1+\dfrac{\textrm rate}{100})^{\textrm time}

A = p × (1+\dfrac{\textrm r}{100})^{\textrm t}

Or, A = $67,000 × (1+\dfrac{\textrm 8.25}{100})^{\textrm 28}

Or, A = $67,000 × (1.0825)^{28}

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Hence, The Amount of money in the account after 28 years is $616,674.5  Answer

5 0
3 years ago
Jim takes out a mortgage for 30 years at an interest rate of 2.49% and his monthly repayments are $986.50. What is the principal
Svetllana [295]

The principal loan amount will be 250000. P is denoted by the principal loan amount

<h3> What is the amount?</h3>

The complete repayment of money at the end of the period for which it was borrowed is referred to as the amount.

The given data in the problem is;

P is the principal loan amount

r is the rate of interest = 2.49%

n is the time period= of 30 years

The formula for the principal loan amount  is found as;

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Hence the principal loan amount will be 250000.

To learn more about the amount, refer to the link;

brainly.com/question/12184047

#SPJ1

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