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Sveta_85 [38]
4 years ago
13

Solve using gauss-Jordan elimination X1 - 3x2 = -5 -3x1 - x2 = 5

Mathematics
1 answer:
steposvetlana [31]4 years ago
7 0
\begin{cases}x_1&-3x_2=-5\\-3x_1&-x_2=5\end{cases}\\\begin{cases}3x_1&-9x_2=-15\\-3x_1&-x_2=5\end{cases}\\\begin{cases}&-10x_2=-10\\-3x_1&-x_2=5\end{cases}\\\begin{cases}&x_2=1\\-3x_1&-1=5\end{cases}\\\boxed{\begin{cases}x_2=1\\x_1=-2\end{cases}}
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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
A total of 120 smoothies were sold on the first day of the month from July-December. True or false
melisa1 [442]

Answer:

the answer would basically be 720 smoothies in total from Jul.-Dec.

Step-by-step explanation:

YWW :)

6 0
3 years ago
(10 points ASAP) Draco's test scores on five social studies test are 86,93,92,80, and 94. What is his mean test score? What is t
andrezito [222]
The mean is 89. Add them all up and divide by 5

7 0
3 years ago
Read 2 more answers
Please help! i was wondering how you would solve this question!
Anon25 [30]

Answer:  C.  150 km²

<u>Step-by-step explanation:</u>

Use similar triangle proportion to find x:

\dfrac{x}{4.5}=\dfrac{15.3+7.4}{7.4}\\\\\\x=\dfrac{4.5(22.7)}{7.4}\\\\\\x=13.8\\\\\text{Notice that x is the diameter of the circle}\implies r=\dfrac{13.8}{2}=6.9\\\\\\\text{Find the area of the circle using }A=\pi r^2\\A=\pi (6.9)^2\\\\.\ =\pi (47.6)\\\\.\ =149.6\\\\.\ \approx150

4 0
3 years ago
Simplify...................​
konstantin123 [22]

Answer:

(a+b)/2(a-b)

Step-by-step explanation:

Explained in the paper

Goodluck

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