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vovangra [49]
3 years ago
14

If he makes a profit

Mathematics
2 answers:
Svetllana [295]3 years ago
6 0

Answer:

If who makes a profit????

Step-by-step explanation:

Anarel [89]3 years ago
3 0

Answer:

he gets more money then he had to start with

Step-by-step explanation:

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Ariana has a collection of 100 coins. How many coins represent 10% of her collection?
AnnZ [28]

Answer: 10

Step-by-step explanation:

10% is the same as 10/100

10% would equal 10 (out of the 100) coins

8 0
3 years ago
Find equations of the spheres with center(1, −1, 6)that touch the following planes.a) xy-planeb) yz-planec) xz-plane
Misha Larkins [42]

Given :

Center of sphere , C( 1 , -1 , 6 ) .

To Find :

Find equations of the spheres with center (1, −1, 6) that touch the following planes.a) xy-plane b) yz-plane c) xz-plane .

Solution :

a)

Distance of the point from xy-plane is :

d = 6 units .

So , equation of circle with center C and radius 6 units is :

(x-1)^2+(y-(-1))^2+(z-6)^2=6^2\\\\(x-1)^2+(y+1)^2+(z-6)^2=36

b)

Distance of point from yz-plane is :

d = 1 unit .

So , equation of circle with center C and radius 1 units is :

(x-1)^2+(x+1)^2+(z-6)^2=1^2\\\\(x-1)^2+(x+1)^2+(z-6)^2=1

c)

Distance of point from xz-plane is :

d = 1 unit .

So , equation of circle with center C and radius 1 units is :

(x-1)^2+(x+1)^2+(z-6)^2=1^2\\\\(x-1)^2+(x+1)^2+(z-6)^2=1

Hence , this is the required solution .

4 0
3 years ago
Given that a rectangle has a length of 5/2x + 10 with a width of 5/2x + 5, formulate an expression to represents the area of the
stepan [7]

Answer:

<h3>               A =  ²⁵/₄x² + ⁷⁵/₂x + 50</h3>

Step-by-step explanation:

L = ⁵/₂x + 10

W = ⁵/₂x + 5

A = L•W

A = (⁵/₂x + 10)(⁵/₂x + 5)

A = ⁵/₂x•⁵/₂x + ⁵/₂x•5 + 10•⁵/₂x + 10•5

A = ²⁵/₄x² + ²⁵/₂x + ⁵⁰/₂x + 50

A =  ²⁵/₄x² + ⁷⁵/₂x + 50

Or if yoy mean:

L = 5/(2x) + 10

W = 5/(2x) + 5

A = [5/(2x) + 10][5/(2x) + 5] = 25/(4x²) + 75/(2x) + 50

8 0
3 years ago
the half-life of chromium-51 is 38 days. If the sample contained 510 grams. How much would remain after 1 year?​
madam [21]

Answer:

About 0.6548 grams will be remaining.  

Step-by-step explanation:

We can write an exponential function to model the situation. The standard exponential function is:

f(t)=a(r)^t

The original sample contained 510 grams. So, a = 510.

Each half-life, the amount decreases by half. So, r = 1/2.

For t, since one half-life occurs every 38 days, we can substitute t/38 for t, where t is the time in days.

Therefore, our function is:

\displaystyle f(t)=510\Big(\frac{1}{2}\Big)^{t/38}

One year has 365 days.

Therefore, the amount remaining after one year will be:

\displaystyle f(365)=510\Big(\frac{1}{2}\Big)^{365/38}\approx0.6548

About 0.6548 grams will be remaining.  

Alternatively, we can use the standard exponential growth/decay function modeled by:

f(t)=Ce^{kt}

The starting sample is 510. So, C = 510.

After one half-life (38 days), the remaining amount will be 255. Therefore:

255=510e^{38k}

Solving for k:

\displaystyle \frac{1}{2}=e^{38k}\Rightarrow k=\frac{1}{38}\ln\Big(\frac{1}{2}\Big)

Thus, our function is:

f(t)=510e^{t\ln(.5)/38}

Then after one year or 365 days, the amount remaining will be about:

f(365)=510e^{365\ln(.5)/38}\approx 0.6548

5 0
2 years ago
Shashi Rimoko earns $620 per week as a chef. He has group
finlep [7]

Out of the weekly amount that Shashi Rimoko makes, a deduction of $37.93 is made for insurance.

The total Medical cost is $9,560 and out of this, the amount paid by Shashi per year is:

<em>= Amount x (1 - percentage paid by restaurant)</em>

= 9,560 x ( 1 - 80%)

= $1,912

The amount he pays for Dental coverage is:

<em>= Amount x (1 - percentage paid by restaurant)</em>

= 172 x (1 - 65%)

= $60.20

The total amount he pays for insurance per year is:

<em>= Medical + Dental </em>

= 1,912 + 60.20

= $1,972.20

The weekly deduction is:

<em>= Year amount / No. of weeks in year </em>

= 1,972.20 / 52

= $37.93

In conclusion, $37.93 is deducted from his paycheck every week.

<em>Find out more at brainly.com/question/16711490.</em>

4 0
2 years ago
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