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2 years ago

8

Slope of (-20,9) (14,9)

1 answer:

skelet666 [1.2K]2 years ago

3 0

Y2-y1/x2-x1 is slope so

9-9/14-(-20) so you get 0/34 which means there is no slope since they have the same y (the equation would be y=0x+9 therefore y=9)
Which makes sense since the equation is a straight line

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Mohammad divide Rs 82000 into two parts such that the amounts at 5% per annum compound interest in 2 years and 3 years are equal

lara [203]

Answer:

Rs 42000 and Rs 40000

Step-by-step explanation:

Given that Rs 82000 is divided into two parts.

Let the first part be Rs x which is compounded annually at the interest of 5% per annum for 2 years.

The rate of interest = 5%=0.05

The total amount after 2 years $= x(1+0.05)^{2}\cdots(i)$

The other part is Rs 82000-x which is compounded annually at the interest of 5% per annum for 3 years.

The total amount after 3 years $= (82000-x)(1+0.05)^{3}\cdots(ii)$

As both the amounts are equal, so from equation (i) and (ii)

$x(1+0.05)^{2}=(82000-x)(1+0.05)^{3} \\\\x(1.05)^{2}=82000(1.05)^{3} -x(1.05)^{3} \\\\x(1.05^2+1.05^3)=82000\times 1.05^3 \\\\x(2.260125)=94925.25 \\\\x=94925.25/2.260125 \\\\$

x= 42000

And the other part = 82000-42000 = Rs 40000

Hence, he divides the money as

Rs 42000 at 5% per annum compound interest in 2 years and

Rs 40000 at 5% per annum compound interest in 3 years.

4 0

2 years ago

The sum of the areas of two circles is 80 pie square meters. Find the length of a radius of each circle if one of them is twice

Svetach [21]

Answer:

The radius of the circles are $4\ m$ and $8\ m$

Step-by-step explanation:

Let

x-----> the radius of larger circle

y----> the radius of smaller circle

we know that

$\pi x^{2} +\pi y^{2}=80\pi$

$x^{2} +y^{2}=80$ -----> equation A

Remember that

$x=2y$ -----> equation B

substitute equation B in equation A and solve for y

$(2y)^{2} +y^{2}=80$

$4y^{2} +y^{2}=80$

$5y^{2}=80$

$y^{2}=16$

$y=4\ m$

Find the value of x

$x=2y$

$x=2(4)=8\ m$

therefore

The radius of the circles are $4\ m$ and $8\ m$

4 0

2 years ago

PLEASE HELP!!!<br> ITS DUE TODAY

WITCHER [35]

Answer:

8. 7.2

9. 6.7

Step-by-step explanation:

4 0

3 years ago

Alecia walked 3/10 of a mile from school,stopped at the grocery store on the way, then walked another 4/10 of a mile home.Georgi

Nutka1998 [239]

Answer:

Alecia lives farther from school

Step-by-step explanation:

<em>Georgia</em>

we know that

The distance from the school to her home is 67/100 of a mile

$\frac{67}{100}=0.67\ miles$

<em>Alecia</em>

we know that

The distance from the school to her home is

3/10 of a mile plus 4/10 of a mile

so

$\frac{3}{10}+\frac{4}{10}=\frac{7}{10}=0.7\ miles$

Compare the distances

$0.7\ miles>0.67\ miles$

therefore

Alecia lives farther from school

3 0

3 years ago

Help! Please. I don’t know what I did wrong.

Debora [2.8K]

Answer:

1320, permutation

Step-by-step explanation:

There are 12 members

Pick a president

We have 12 choices

Now there are 11 people left to pick from

now pick a vp

We have 11 choices

Now there are 10 people left to pick from

now pick a secretary

We have 10 choices

12*11*10 = 1320

This is a permutation since it matters who is president, vp and secretary

6 0

3 years ago