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3 years ago

QUESTION 1

1 answer:

4 0

Answer 1
The formula of the future value of annuity ordinary is
Fv=pmt [(1+r)^(n)-1)÷r]
Solve the formula for n
Fv/pmt=(1+r)^(n)-1)÷r
cross multiplication
(Fv/pmt)×r=(1+r)^(n)-1
(Fv/pmt)×r+1=(1+r)^(n)
take the log for both sides
Log ((Fv/pmt)×r+1)=n×log (1+r)
Divide each side by log (1+r)
N=[Log ((Fv/pmt)×r+1)]÷log (1+r)
Now solve to find n
N=log((10,000÷800)×0.03+1)
÷log(1+0.03)=10.77years round your answer to get 11 years

Answer 2
PMT=81,000÷(((1+0.075÷12)^(12
×19)−1)÷(0.075÷12))
=161.25

Answer 3
PMT=87,000÷(((1+0.054÷12)^(12
×8)−1)÷(0.054÷12))
=726.56

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!!15 points in help quick please help mee first on becoming brainiest

sveta [45]

Answer:

1^2 = 1

2^2 = 4

3^2 = 9

4^2 = 16

5^2 = 25

6^2 = 36

7^2 = 49

8^2 = 64

9^2 = 81

10^2 = 100

11^2 = 121

12^2 = 144

13^2 = 169

14^2 = 196

15^2 = 225

16^2 = 256

17^2 = 289

18^2 = 324

19^2 = 361

20^2 = 400

Brainliest plz??

6 0

2 years ago

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Help me pls. Pls do this step by step. I will give he brainliest to the person who does it step by step.

Zanzabum

Answer:

x^2 - x^3 - 3x^2y - 3xy^2

Step-by-step explanation:

x^3 +y^3 - (x + y)^3

Expand the expression

x^2 + y^3 - (x^3 + 3x^2y + 3xy^2 +y3)

Remove the parentheses

x^2 +y^3 -x^3 -3x^2y -3xy^2 - y^3

Remove the opposites

Answer:

x^2 - x^3 - 3x^2y - 3xy^2

Hope this Helps!

3 0

3 years ago

Write an equivalent expression using distributive property and simplify for each question

Lana71 [14]

Answer:

Check explanations

Step-by-step explanation:

For all real numbers a,b, and c, the distributive property states that:

$a(b + c) = ab + ac$

For Part A, we have

$2x + 10x = x(2 + 10) = x(12) = 12x$

$2x + 10x = 2x(1 + 5) = 2x(6) = 12x$

For Part B, we have

-4(3x-10)+5(2-6x)=-4*3x--4*10+5*2-5*6x

This simplifies to:

-4(3x-10)+5(2-6x)=-12x+40+10-30x

-4(3x-10)+5(2-6x)=-12x-30x+40+10

-4(3x-10)+5(2-6x)=-42x+50

For the C part, we have:

$2(x - 4) + x = 2 \times x - 2 \times 4 + x$

$2(x - 4) + x = 2x - 8+ x$

$2(x - 4) + x = 3x - 8$

For Part D, we have:

$-3-7(3-4x)+8x = - 3 - 7 \times 3 - 7 \times - 4x + 8x$

We simplify to get:

$-3-7(3-4x)+8x = - 24+28x + 8x$

Simplify further to get:

$-3-7(3-4x)+8x =-24+36x$

4 0

3 years ago

Write the equation of the line that satisfies the given conditions. Express the final equation in standard form.

Anton [14]

Answer:

The equation of line with given points and perpendicular to y-axis is

y = - 7

Step-by-step explanation:

Given as :

The given points as ( - 10 , - 7)

The equation of line is Y = mX + c

So The line will satisfy given points

Or, - 7 = m ( -10 ) + c

Now This line is perpendicular to y- axis

∴ The slop of line perpendicular to y axis is 0

So, - 7= 0 + c

or, c = - 7

∴ Equation of line is y = 0 + c

Or, y = - 7

Hence The equation of line with given points and perpendicular to y-axis is y = - 7 Answer

8 0

3 years ago

An isosceles trapezoid ABCD with height 2 units has all its vertices on the parabola y=a(x+1)(x−5). What is the value of a, if p

horrorfan [7]

Answer:

a = -0.3575

Step-by-step explanation:

The points A and D lie on the x-axis, this means that they are the x-intercepts of the parabola, and therefore we can find their location.

The points A and B are located where

$y=a(x+1)(x-5)=0$

This gives

$x=-1$

$y=5$

Now given the coordinates of A, we are in position to find the coordinates of the point B. Point B must have y coordinate of y=2 (because the base of the trapezoid is at y=0), and the x coordinate of B, looking at the figure, must be x coordinate of A plus horizontal distance between A and B, i.e

$B_x=A_x+\frac{2}{tan(60)} =-1+\frac{2\sqrt{3} }{3}$