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12345 [234]
3 years ago
15

Paulo took out a $900 loan using an 12% simple interest rate for a period of 9 months. What the effective annual interest rate f

or the loan? Give your answer as a percentage to the nearest tenth of a percent.
Mathematics
2 answers:
Dovator [93]3 years ago
6 0

Answer:

13.2

Step-by-step explanation:

vekshin13 years ago
5 0

Answer:

12.68%

Step-by-step explanation:

To calculate effective annual interest rate we need to use the following formula:

i=(1+\frac{r}{m})^m-1

Where, 'i' is the effective annual interest rate

'r' is the annual rate of interest

'm' is the frequency of compounding.

When there is continuous compounding the effective annual rate uses the following formula:

i=e^r-1

In our case we would are assume that there is continuous compounding since no information regarding the frequency of compounding is given:  

Plugging r=12%=0.12, we get:

i=e^{0.12}-1

i=1.1274-1=0.1274

i=0.1274

i=12.74\%

Therefore, the effective annual interest rate is 12.74%.

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Given angle ABC shown on the coordinate plane below.
Crank

The attached image shows the image of A"B"C" after the transformation

<h3>What is the transformation of the triangle about?</h3>

The transformation rule states:

A"B"C" = Ro90° (T(-4,3)(ABC))

This implies that one need to rotate the triangle in a 90⁰ clockwise direction, and then one need to translate the triangle.

Using the image shown, the coordinates of ABC are;

A = (-1, 2)

B = (1, 4)

C = (3, -1)

The 90⁰ rule clockwise rotation  will be:

(x,y) -- (y,-x)

So, when translated, it will be:

A' = (2, 1)

B' = (4, -1)

C' = (-1, -3)

Then the translation of the triangle using T(-4,3):

(x, y) -  (x - 4, y + 3)

So, there is:

A'' = (-2, 4)

B'' = (0, 2)

C'' = (-5, 0)

Learn more about transformation from:

brainly.com/question/28108536

#SPJ1

6 0
1 year ago
Using the picture below, which angle is alternate exterior to angle 2?
kenny6666 [7]

Answer:

alternate exterior means outside of the two parallel lines so your answer is 7 because alternate means other side of transversal

4 0
2 years ago
Does (-2)^n/( 3^n+1) converge or diverge?
hodyreva [135]
\left|\dfrac{(-2)^n}{3^n+1}\right|=\dfrac{2^n}{3^n+1}

As n\to\infty, the sequence a_n=\left(\dfrac23\right)^n converges to zero.

If you're talking about the infinite series

\displaystyle\sum_{n\ge0}\dfrac{(-2)^n}{3^n+1}

well we've shown by comparison that this series must also converge because we know any geometric series \sum\limits_n r^n will converge as long as |r|.
3 0
2 years ago
(100 points)
LekaFEV [45]

Answer:

30/10 and 5/11

Step-by-step explanation:

8 0
3 years ago
Need help finding this
polet [3.4K]
5(6x+5)-2(4x-1) = 30x+25-8x+2 = 22x+27
4 0
3 years ago
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