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3 years ago

9

Kedwin has $150 and wants to buy a new pair of headphones that cost $175 + 10% shipping he decides wait until the headphones guy

wants self what is the smallest cell rate that he needs to be able to afford them

1 answer:

SOVA2 [1]3 years ago

7 0

Answer:

23%

Step-by-step explanation:

175 x 0.23 = 40.25

175-40.25 = 134.75

134.75 x 10% shipping = 13.48

134.75+13.48=148.23

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A parabola has a focus of F(2, -0.5) and a directrix of y=-1.5 P(x,y) represents any point on the parabola, while D(x, -1.5) rep

prohojiy [21]

The sketch of the parabola is attached below

We have the focus $(a,b) = (2, -0.5)$
The point $P(x,y)$
The directrix, c at $y=-1.5$

The steps to find the equation of the parabola are as follows

Step 1
Find the distance between the focus and the point P using Pythagoras. We have two coordinates; $(2, -0.5)$ and $(x,y)$ .
We need the vertical and horizontal distances to find the hypotenuse (the diagram is shown in the second diagram).
The distance between the focus and point P is given by
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$

Step 2
Find the distance between the point P to the directrix $c$ . It is a vertical distance between y and c, expressed as $y-c$

Step 3
The equation of parabola is then given as
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$ = $y-c$
$(x-a)^{2}+ (y-b)^{2}= (y-c)^{2}$ ⇒ substituting a, b and c
$(x-2)^{2}+ (y--0.5)^{2} = (y--1.5)^{2}$
$(x-2)^{2}+ (y+0.5)^{2}= (y+1.5)^{2}$ ⇒Rearranging and making $y$ the subject gives

$y= \frac{ x^{2} }{2} -2x+1$

7 0

3 years ago

Work out the length of X.

vlabodo [156]

Answer:

By Pythagoras theorem

H^2=P^2+B^2

25^2=x^2+24^2

625=x^2 + 576

625-576=x^2

49=x^2

x^2=49

x=√49

x=7cm

Hope this helps uhh

6 0

2 years ago

Maria, age 28, wants to pay no more than $300 a year in life insurance. what is the face value of the largest 20-year term polic

shusha [124]

The face value of the largest 20-year term policy which Maria can buy without spending more than $300 annually is $158,000.

<h3>What is face value?</h3>

Face is the term used in finance, is used for the amount which has to be paid to the policyholder at the time of maturity.

Maria, age 28, wants to pay no more than $300 a year in life insurance.

The period for this policy is 20-year term.

Annual life insurance premium (per 1,000 dollars of face value) for age 28.

A 10-year term for female is 1.28,
A 15 year term for female is 1.54,
A 20 year term for female is 1.89,
A whole life for female is 9.46.

For the 20 year term for female is 1.89 and annular premium is $300. Thus, the face value is,

$\rm Face \; Value=\dfrac{300}{1.89}\times1000\\\rm Face \; Value\approx158000$

Thus, the face value of the largest 20-year term policy which Maria can buy without spending more than $300 annually is $158,000.

Learn more about the face value here;

brainly.com/question/25596583

8 0

2 years ago

One of the children bought their teacher a mathematical plant for the classroom windowsill. At the end of the first day it had i

Vlad [161]

Answer:

18 days

Step-by-step explanation:

Here's a short table of heights:

day 0: height = 1

day 1: height = 1 + (1/2)(1) = 3/2

day 2: height = (3/2) + (1/3)(3/2) = 3/2 + 1/2 = 2

The pattern of heights is ...

(day, height) = (0, 1), (1, 1.5), (2, 2)

The plant is growing 1/2 its original height each day, so we can write the equation ...

h = 1 + d/2

We want to find the number of days (d) that result in a height of 10 (ten times the original height).

10 = 1 + d/2

9 = d/2 . . . . subtract 1

18 = d . . . . . multiply by 2

It took 18 days for the plant to grow to 10 times its original height.

5 0

3 years ago

What is 5812 as a mixed number in simplest form?<br><br> Enter your answer in the box.

son4ous [18]

Answer:

$5811 \frac{1}{1}$

Step-by-step explanation:

You could do this.

I am joyous to assist you anytime.

8 0

3 years ago