Which equation represents the solution of the linear equation - 4x + 5 = 9? A. x = 4

B. x = 1

C. x = -1

D. x = -4​

The equivalent value of the exponential equation is A = 4⁰ = 1

What are the laws of exponents?

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

A = ( 4⁵ x 4⁻⁷ ) / ( 4⁻² )

Now , from the laws of exponents , we get

m⁻ᵃ = ( 1 / mᵃ )

So , A = ( 4⁵ x 4⁻⁷ ) x 4²

And , mᵃ×mᵇ = mᵃ⁺ᵇ

On further simplification , we get

A = 4⁵⁺²⁻⁷

A = 4⁰

A = 1

Hence , the exponential equation is solved

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Answer: M = 3

Step-by-step explanation: you have to use the slope intercept form y = mx+b to find the actual slope

The 4-year loan at 7.5% APR seems to be the best choice as it strikes a balance between a reasonable monthly payment and minimizing the total interest paid.

To determine which loan option best meets your needs, you should consider both the monthly payment amount and the total cost of the loan. Here's how you can calculate and compare the three options:

1. 3-year loan at 7% APR:

  - Monthly payment: $325

  - Total payments over the loan term: $325 * 12 months/year * 3 years = $11,700

  - Total interest paid: $11,700 - $15,000 = $3,300

2. 4-year loan at 7.5% APR:

  - Monthly payment: $325

  - Total payments over the loan term: $325 * 12 months/year * 4 years = $15,600

  - Total interest paid: $15,600 - $15,000 = $600

3. 5-year loan at 8% APR:

  - Monthly payment: $325

  - Total payments over the loan term: $325 * 12 months/year * 5 years = $19,500

  - Total interest paid: $19,500 - $15,000 = $4,500

Now, let's analyze the options:

- The 4-year loan at 7.5% APR has the highest monthly payment but the lowest total interest cost, making it the most cost-effective option. However, you should ensure that the higher monthly payment fits comfortably within your budget.

- The 3-year loan at 7% APR has a lower interest cost than the 5-year loan but a higher monthly payment. It's a good middle-ground choice if you can afford the monthly payments.

- The 5-year loan at 8% APR offers the lowest monthly payment but results in the highest total interest cost. It's the least cost-effective option, and you would end up paying significantly more over the loan term.

Ultimately, the 4-year loan at 7.5% APR seems to be the best choice as it strikes a balance between a reasonable monthly payment and minimizing the total interest paid. However, ensure that the monthly payment aligns with your financial situation before making a decision.

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Answer:

the 5yr/ $270mth

Step-by-step explanation:

$15k × 8% = $1200 interest

$15k + $1200 = $16,200.00

$16500 ÷ 60months (5years) = $270/mth pymt

Answer:

0.8 minutes

Step-by-step explanation:

From the given information:

The arrival time for the jobs to the computer obeys a Poisson distribution;

Thus, the arrival rate is:

Assuming the average time spent on the jobs in the system is denoted by:

The average time a job process in the system can be expressed as follows:

From above formula:

service rate

arrival rate

replacing the values;

Open brackets

0.8 minutes