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a_sh-v [17]
3 years ago
13

In a geometric sequence the ratio between consecutive term is

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
6 0

Answer:

Tn = ar^(n-1) n = 1,2,3,4 a = 1st term r = common ratio, T2/T1 = T3/T2 = r

Step-by-step explanation:

Mark brainliest if correct, hope this helped

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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%.
Vsevolod [243]

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.

Then,

= \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

 

5 0
3 years ago
Choose the correct symbol to fill in the blank. 7.5 ______ 7.05 *
Nostrana [21]

Answer:

7.5

Step-by-step explanation:

7.5 is greater than 7.05

6 0
4 years ago
Read 3 more answers
please answer!!! click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag
Leokris [45]

Answer:

don't know the answer good luck

Step-by-step explanation:

Just need the points

6 0
3 years ago
Read 2 more answers
2. Convert 61.13° to degrees, minutes, and seconds. (2 points)
Evgesh-ka [11]
The answer is the first option.

4 0
3 years ago
Let f(x) = 12 over 4x+3. Find f(-1)
murzikaleks [220]
Sub -1 into the x's
f( - 1) =  \frac{12}{4( - 1) + 3}
simplify.
=  \frac{12}{ - 4 + 3}

=  \frac{ - 12}{ - 1}
awnser:

f( - 1) =  - 12
3 0
3 years ago
Read 2 more answers
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