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Fred deposits $50 into an account. The account can be represented by the equation a(t)=50(1.25) where t is the time in years since opening the account. What is average rate of change in the value of the account for the first 4 years

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Explanation:

ow long to reach 733,500 baht with 9% interest?

pro samit

How long would it take to have 733,500 baht if your principal amount was 450,000 baht with a 9% interest rate?

If your principal amount is 450,000 baht and you earn a 9% interest rate, you would need to let the money accrue interest for a certain period of time in order to reach a balance of 733,500 baht.

To determine how long it would take to reach a balance of 733,500 baht, you can use the following formula:

Time (in years) = (733,500 baht - 450,000 baht) / (450,000 baht * 9%)

Plugging in the values, we get:

Time (in years) = (733,500 baht - 450,000 baht) / (450,000 baht * 0.09)

Time (in years) = (283,500 baht) / (40,500 baht)

Time (in years) = 7 years

So it would take approximately 7 years for your balance to reach 733,500 baht if your principal amount was 450,000 baht and you earned a 9% interest rate.

pro samit

Jane took out a loan for college with an interest rate of 5.2%. After graduating 4 years later, she has to pay 11,960 in interest. Find the original

To find the original loan amount that Jane took out, you can use the following formula:

Original loan amount = (Interest paid / Interest rate) * (1 - 1/(1 + Interest rate)^(Number of years))

Plugging in the values, we get:

Original loan amount = (11,960 / 5.2%) * (1 - 1/(1 + 5.2%)^4)

Original loan amount = (11,960 / 0.052) * (1 - 1/(1.052)^4)

Original loan amount = $22,942.31

So the original loan amount that Jane took out was $22,942.31.

pro samit

Find the unit rate 180 miles in 3hours

To find the unit rate, you need to divide the total number of miles by the number of hours it took to travel that distance.

In this case, the unit rate would be:

Unit rate = 180 miles / 3 hours

Unit rate = 60 miles/hour

So the unit rate is 60 miles per hour. This represents the number of miles traveled for every hour of travel.

pro samit

In the example what is 3/4 over 1/3 the unit rate for

It looks like you might be trying to find the unit rate for 3/4 over 1/3, but the information provided is not sufficient to determine what you are trying to calculate.

To find the unit rate, you need to have a rate with two quantities, one of which is a unit of one. For example, the unit rate for 60 miles per hour is 60 miles/hour.

Without knowing what quantities you are trying to compare, it is not possible to determine the unit rate. Can you please provide more information or context about what you are trying to calculate?

pro samit

what is 3/4 over 1/3 the unit rate for

It looks like you might be trying to find the unit rate for 3/4 over 1/3, but the information provided is not sufficient to determine what you are trying to calculate.

To find the unit rate, you need to have a rate with two quantities, one of which is a unit of one. For example, the unit rate for 60 miles per hour is 60 miles/hour.

Without knowing what quantities you are trying to compare, it is not possible to determine the unit rate. Can you please provide more information or context about what you are trying to calculate?

pro samit

what is 3/4 over 1/3 the unit rate for?

It looks like you might be trying to find the unit rate for 3/4 over 1/3, but the information provided is not sufficient to determine what you are trying to calculate.

To find the unit rate, you need to have a rate with two quantities, one of which is a unit of one. For example, the unit rate for 60 miles per hour is 60 miles/hour.

Without knowing what quantities you are trying to compare, it is not possible to determine the unit rate. Can you please provide more information or context about what you are trying to calculate?

pro samit

Fred deposits $50 into an account. The account can be represented by the equation a(t)=50(1.25) where t is the time in years since opening the account. What is average rate of change in the value of the account for the first 4 years

The average rate of change is a measure of how the value of the account changes over time. To find the average rate of change for the first 4 years, you need to find the total change in the value of the account over that time period and divide it by the time period.

In this case, the value of the account at the end of the first 4 years is given by the equation:

a(4) = 50(1.25)^4

Plugging in the values, we get:

a(4) = 50(2.44140625)

a(4) = 122.07031250

The total change in the value of the account over the first 4 years is 122.07031250 - 50 = 72.07031250.

So the average rate of change in the value of the account over the first 4 years is:

Average rate of change = (72.07031250) / (4 years)

Average rate of change = $18.017578125/year

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