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4 years ago

A professional writer decides to judge the value of her laptop by the number of times she presses

Mathematics

1 answer:

shusha [124]4 years ago

7 0

Answer:

D.)

15040000 <= k <=19840000

Step-by-step explanation:

V = 1200 -0.00002k

Value V after one year falls in the range of $803.20 and $899.20.

Let's substract these values from 1200.

1200-803.20=396.80

1200-899.20=300.80

So it means that

0.00002k= 396.80

And

0.00002k= 300.80

0.00002k= 396.80

K= 396.80/0.00002

K= 19840000

And

0.00002k= 300.80

K = 300.80/0.00002

K= 15040000

So range is between

15040000 <= k <=19840000

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What is the equation of the circle with center (1, −1) that passes through the point (5, 7)?

kykrilka [37]

Answer:

Option C $(x-1)^2+(y+1)^2=80$

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The distance from the center of the circle to any point on the circumference of the circle is equal to the radius of the circle

we have

(1,-1) and (5,7)

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

substitute the values

$d=\sqrt{(7+1)^{2}+(5-1)^{2}}$

$d=\sqrt{(8)^{2}+(4)^{2}}$

$d=\sqrt{80}\ units$

step 2

Find the equation of the circle in center radius form

$(x-h)^2+(y-k)^2=r^2$

where

(h,k) is the center

r is the radius

substitute

$(x-1)^2+(y+1)^2=(\sqrt{80})^2$

$(x-1)^2+(y+1)^2=80$

3 0

3 years ago

How can you show that two objects are proportional with an equation

GuDViN [60]

You can use a plot diagram to plot the points and if they all go straight through the origin then it is proportional

5 0

3 years ago

(iii) Show it in a Venn diagram. In a survey of 120 students, 60 drink milk, 50 drink curd and 20 students drink milk as well cu

Step2247 [10]

Answer:

Step-by-step explanation:

As you can see in the venn diagram that is attached below, The individuals that drink milk are in green, those that drink curd are in yellow, and those that drink both are in light blue. Since the sum of those that drink milk with those that drink curd is 110 and a total of 120 students were surveryed. Then this means that 10 of the students neither drink milk nor curd. These students are represented outside of the venn diagram but within the box of surveyed students.

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3 years ago

14 B. Bernard has 21 pages of research paper due by Friday. If he starts on Tuesday, how many pages does he need to do per day?

OLga [1]

Answer:

Step-by-step explanation:

Due Friday we have 3 days (Tuesday, Wednesday, Thursday)

21/3 = 7

8 0

3 years ago

The 6th term is 22 and the common difference is 6. what is the 50th term

Tom [10]

The general formula for an arithmetic sequence is:
a(n) = a + d(n - 1) 

a : first term 
d : common difference (6) 
n : number of the term 

In your example, you are told the 6th term is 22. 
a(6) = a + 6(6 - 1) = 22 
a + 30 = 22 
a = 22 - 30 
a = -8 

So now you have the general formula: 
a(n) = -8 + 6(n - 1) 

If you like you can simplify it: 
a(n) = -8 + 6n - 6 
a(n) = 6n - 14 

Then you can plug in n = 50: 
a(50) = 6(50) - 14 
= 300 - 14 
= 286

4 0

3 years ago