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3 years ago

13

Which of the following is an example of a discrete variable ?

1 answer:

maria [59]3 years ago

3 0

C.The number of eggs in a cartoon I'm pretty sure

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The price of a home is $300,000. After a 10% down payment, the mortgage is $270,000. If this is financed with a 30-year fixed-ra

irinina [24]

Answer:

The correct solution is "$1618.79".

Step-by-step explanation:

The given values are:

Home price,

= $300,000

Down payment,

= 10%

Mortgage,

= $270,000

Rate,

r = 6%

Time,

t = 30 years

As we know,

⇒ $PV=P[\frac{1-(1+r)^{-n}}{r} ]$

On substituting the values, we get

⇒ $270 000= P[\frac{1-(1+\frac{6}{1200} )^{-12\times 30}}{\frac{6}{1200} } ]$

⇒ $P=1618.79$ ($)

7 0

2 years ago

The Carousel at Carowinds has 4 rings of horses. Fred is riding on the inner ring, which has a radius of 7 feet. Juan is riding

nikdorinn [45]

Answer:

Juan travel 31.4 feet farther than Fred in one rotation.

Step-by-step explanation:

In this problem we need to determine the change in linear position of Fred and Juan, whose formula is:

$s=\theta \cdot r$ (Eq. 1)

Where:

$r$ - Radius, measured in feet.

$\theta$ - Angular arch, measured in radians.

$s$ - Change in linear position, measured in feet.

If both makes one rotation in the carousel, we obtain the change in linear position of each player:

Fred ( $r = 7\,ft$ , $\theta = 2\pi$ )

$s= 2\pi\cdot (7\,ft)$

$s = (3.14)\cdot (7\,ft)$

$s = 21.98\,ft$

Juan ( $r = 17\,ft$ , $\theta = 2\pi$ )

$s= 2\pi\cdot (17\,ft)$

$s = (3.14)\cdot (17\,ft)$

$s = 53.38\,ft$

And the difference between both travelled distances is:

$\Delta s = 53.38\,ft-21.98\,ft$

$\Delta s = 31.4\,ft$

Juan travel 31.4 feet farther than Fred in one rotation.

4 0

2 years ago

Use the distributive property to factor the expression

Naily [24]

Answer:

5(x^2 + 5)

Step-by-step explanation:

The binomial 5х^2 + 25 has the factor 5 in each term. Thus, in factored form, 5х^2+ 25 = 5(x^2 + 5).

5 0

2 years ago

What quadrant is -3,2 in

hichkok12 [17]

Quadrant 2 (use picture for explanation)

6 0

2 years ago

Read 2 more answers

Choose the point on the terminal side of -210°. Please only answer this question if you are willing to show work so I can learn

N76 [4]

X=rcos∅=r cos (-210)=r cos 210=rcos (180+30)=-r cos 30
$x=-r* \frac{sqrt 3}{2} = \frac{- sqrt 3r}{2} ,$
$y=r sin (-210)=-rsin 210=-rsin (180+30)=-r(-sin 30)$
1 $or y=r sin 30=r* \frac{ 1}{2} = \frac{r}{2}$

3 0

2 years ago