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lawyer [7]
3 years ago
9

Domain and range and function. Need ASAP

Mathematics
1 answer:
Jet001 [13]3 years ago
5 0

Answer:

Domain: All \ real\ numbers

Range: y\geq -5

Function: |x|-5=y

Step-by-step explanation:

The domain of this function is all real numbers, this is because any real number can be substituted into this function to produce a real output.

The range of this function is (y\geq -5), this is because all outputs are greater than (-5), rather (-5) is the lowest output that one can have.

The function is |x|-5=y. As one can see, the function as the shape of an absolute value function, the v-shape composed of two (y=x) lines facing opposite directions. The graph has been shifted downwards by (5) units, one can see this because of the vertex formed by the two intersecting lines.

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4 0
3 years ago
The nominal rate on Sarah’s loan is 7. 250%. If the interest is compounded monthly, what rate of interest is Sarah actually pa
ella [17]

The correct statement is that Sarah is paying interest compounded monthly at the rate of 7.496%.. So, the correct option from the above statement is B.  

Compound interest can be calculated by the way of applying the values to the formula given in the information.  

<h3>Compound Interest</h3><h3 />
  • Compound interest is best defined with the terms as interest given on accrued interest or the accumulated interest in addition to the interest on the principalprincipal amount.

  • The formula to calculate Compounded interest is as below,

  • \rm Compounded\ Interest = 10000(1+ \dfrac {0.0725}{12})^1^2\\\\\\\rm Compounded\ Interest =10000(1+0.006)^1^2\\\\\\\rm Compounded\ Interest =10749.58\\

  • The interest to be paid is calculated as $749.58 assuming that the principal was $10000 and the time for such loan was 1 year in the absence of information.

 

  •  Calculating further, we can find that the effective rate of interest on such a loan is at the rate of 7.496%, which is rounded off to the nearest three decimal places.

Hence, the correct option is B that the actual interest paid by Sarah at the rate of 7.250% for the period of 1 year will be effectively 7.496%

 

To know more about compound interest, click the link below.

brainly.com/question/25857212

5 0
3 years ago
Complete the equation of the line through ( 4 , -8 ) and ( 8 , 5 )
irinina [24]

Answer:

Therefore the equation of the line through ( 4 , -8 ) and ( 8 , 5 ) is

13x - 4y = 84.

Step-by-step explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( 4 ,-8)

point B( x₂ , y₂) ≡ (8 , 5)

To Find:

Equation of Line AB =?

Solution:

Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula

(y - y_{1} )=(\frac{y_{2}-y_{1} }{x_{2}-x_{1} })\times(x-x_{1}) \\

Substituting the given values in a above equation we get

(y-(-8))=(\frac{5-(8)}{8-4})\times (x-4)\\ \\(y+8)=\frac{13}{4}(x-4)\\\\4(y+8)=13(x-4)\\4y+32=13x-52\\13x-4y=84...............\textrm{which is the required equation of the line AB}

Therefore the equation of the line through ( 4 , -8 ) and ( 8 , 5 ) is

13x - 4y = 84.

4 0
3 years ago
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