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polet [3.4K]
3 years ago
10

At 9:00 AM, the temperature started dropping 2°C per hour until it reached –13°C at 1:00 PM. What was the temperature at 9:00 AM

?
Mathematics
1 answer:
AleksandrR [38]3 years ago
7 0

9:00 am to 1:00 pm is 4 hours.

The temperature dropped 2 degrees every hour so 2 x 4 = 8 total degrees.

Add 8 degrees to the final temperature to find the starting temperature.

-13 + 8 = -5 degrees at 9:00 am.

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Dave is considering two loans. Loan U has a nominal interest rate of 9. 97%, and Loan V has a nominal interest rate of 10. 16%.
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Loan U  will have a lower effective interest rate, and 0.0713 lower percentage points lower than Loan V and it can be determined by using the rate of interest formula.

Given that,

Dave is considering two loans.

Loan U has a nominal interest rate of 9.97%, and Loan V has a nominal interest rate of 10.16%.

If Loan U is compounded daily and Loan V is compounded quarterly.

We have to determine,

Which loan will have the lower effective interest rate, and how much lower will it be?

According to the question,

<h2>Effective Interest Rate;</h2>

The effective interest rate is determined by the formula;

= \left(1+\dfrac{r}{t} \right )^t

Loan U has a nominal interest rate of 9.97%,

Loan U is compounded daily,

Then,

The effective annual multiplier for loan U is,

= \left(1+\dfrac{0.997}{365}\right)^{365}\\\\= (1+0.0027)^{365}\\\\= (1.0027)^{365}\\\\= 1.104824

And Loan V has a nominal interest rate of 10.16%,

and Loan V is compounded quarterly.

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= \left(1+\dfrac{0.1016}{4}\right)^{4}\\\\= (1+0.0254)^{365}\\\\= (1.0254)^{365}\\\\= 1.105537

Therefore,

Loan V has a higher effective rate by,

=1.105537 -1.104824 \\\\= 0.000713 \\\\= 0.0713%

Hence, Loan U  will have a lower effective interest rate, and 0.0713 lower percentage points lower than Loan V.

For more details about Interest rate refer to the link given below.

brainly.com/question/1398822

 

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