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3 years ago

Show to know if polygons are congruent.

1 answer:

3 0

What do you mean? It mainly depends on what polygon you are looking at. But if you are looking at a polygon and want to know if it's congruent, then just picture yourself folding the polygon in half. If there is pieces sticking out, then it is not congruent, but if it aligns perfectly, then it is congruent.

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Sam takes out a $167,000 mortgage for 20 years. He makes monthly payments and at the end calculates

cupoosta [38]

Answer:

The Annual rate of interest for the mortgage is 1.8%

Step-by-step explanation:

Given as :

The mortgage principal = p = $167,000

The time period of mortgage = t = 20 years

The Amount paid towards mortgage in 20 years = A = $240,141

Let the Annual percentage rate on interest = r % compounded annually

Now, <u>From Compound Interest method</u>

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

Or, A = p × $(1+\dfrac{\textrm r}{100})^{\textrm t}$

Or, $240,141 = $167,000 × $(1+\dfrac{\textrm r}{100})^{\textrm 20}$

or, $\dfrac{240,141}{167,000}$ = $(1+\dfrac{\textrm r}{100})^{\textrm 20}$

Or , 1.437 = $(1+\dfrac{\textrm r}{100})^{\textrm 20}$

Or, $(1.437)^{\frac{1}{20}}$ = $(1+\dfrac{r}{100})$

or, 1.018 = $(1+\dfrac{r}{100})$

Or, $\dfrac{r}{100}$ = 1.018 - 1

Or, $\dfrac{r}{100}$ = 0.018

∴ r = 0.018 × 100

i.e r = 1.8

So, The rate of interest applied = r = 1.8 %

Hence, The Annual rate of interest for the mortgage is 1.8% Answer

8 0

3 years ago

Cual es el resultado de la operacion algebraica: 25x+12x+31x-8x+5x

Tema [17]

Answer:

65x

Step-by-step explanation:

Observe que estos son terminos similares... por lo que podemos simplemente sumarlos y restarlos. Entonces obtenemos:

25x + 12x + 31x - 8x + 5x

= 37x + 31x - 8x + 5x

= 68x - 8x + 5x

= 60x + 5x

= 65x

7 0

3 years ago

The heart rate variability (HRV) of police officers was the subject of research published in a biology journal. HRV is defined

nexus9112 [7]

Step-by-step explanation:

Consider the provided information.

Part (A) We need to find the confidence coefficient.

The given value or percentage of probability is known as the confidence coefficient that the interval contains the parameter.

Hence, the confidence coefficient is 0.90

Part (B) Practical interpretation of both of the 99% confidence intervals.

It means that there is 99% confident that the mean of population HRV for officers diagnosed hypertension which lies between 6.9 and 122.9

There is 99% confident that the mean of population HRV for officers those are not hypertensive which lies between 144.2 and 184.9.

Part (C)

If you are saying 99% confident that means the 99% of the similarly generated confidence intervals will contain the true value of the population mean in repeated sampling.

Part (D)

If We want to reduce the width of each confidence interval, you need to use smaller confidence coefficient.

8 0

3 years ago

Which values of x would make a polynomial equal to zero if the factors of the polynomial were (x-5) and (x-6)

meriva

x-5= 0

move -5 to the other side

sign changes from -5 to +5

x-5+5= 0+5

x= 5

x-6= 0

x-6+6= 0+6

x= 6

Answer: B. 5 and 6

5 0

3 years ago

Read 2 more answers

Y + (-3 y2 ) +2( y2 - 6y) simplify

labwork [276]

Answer:

y - 3y^2 + 4y^2 - 12y

y^2 - 11y

Step-by-step explanation:

3 0

3 years ago