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grigory [225]
4 years ago
14

Help me pleaseeeeee :<<

Mathematics
1 answer:
Luden [163]4 years ago
4 0
Do you want us to simplify
This is your answer

√3n+2+ √2n+1/n+1
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121. Nina has just taken out a car loan for $12,000. She will pay an annual interest rate of 3% through a series of monthly paym
Andrei [34K]

Answer:

(1.0025ⁿ)² + 3.7124×(1.0025ⁿ) - 5.3124 = 0

Step-by-step explanation:

Nina will have saved the enough money to pay off the remaining balance on the loan when the functions are the same. So

f(x) = g(x)

86248 - 74248(1.0025)ⁿ = 20000(1.005)ⁿ - 20000

we sum 20000 on each side of the equation

106248 - 74248(1.0025)ⁿ = 20000(1.005)ⁿ

then we divide by 2000 each side of the equation

5.3124 - 3.7124(1.0025)ⁿ = 1.005ⁿ

the square root of 1.005 is aproximately 1.0025, so

1.005 ≈ 1.0025²

5.3124 - 3.7124(1.0025)ⁿ = (1.0025²)ⁿ

Since (1.0025²)ⁿ = 1.0025²ⁿ = (1.0025ⁿ)² we can write:

(1.0025ⁿ)² + 3.7124(1.0025ⁿ) - 5.3124 = 0

7 0
3 years ago
Which pair of number dose 13 is it 4 and 5 is it 3 and 4 is it 2 and 3 or 3 and 5
tester [92]
Wait what are you asking?
3 0
3 years ago
Kathryn draws three pairs of intersecting lines. In each figure, she measures a pair of angles. What is a reasonable conjecture
Ierofanga [76]
When two lines intersect, they will have a point of intersection where angles around this point will add up to 360°

Since the lines can intersect in many different ways, we cannot assume that the angles form will all be right angles (although this is possible, it doesn't always happen). The four angles can't also be all of the same sizes.

Refer to the diagram below, the intersection will definitely two pairs of vertical angles, x and y. 

Answer: <span>When a pair of lines intersect, the vertical angles are congruent.
</span>

4 0
3 years ago
The joint density function for a pair of random variables X and Y is given. f(x, y) = Cx(1 + y) if 0 ≤ x ≤ 4, 0 ≤ y ≤ 4 0 otherw
frozen [14]

Answer:

A) C = 1/96

B) P(x<=1, y<=1) = 1/128 or 0.0078125 to 7 places

C) P(x+y<=1) = 5/2305, or 0.0021701 to 7 places

Step-by-step explanation:

f(x,y) = C x (1+y)

A)

To find C, we need to integrate the volume under region bound by

0 <= x <= 4, and

0 <= y <= 4

This volume equals 1.0.

Find integral,

int( int(f(x,y),x=0,4), y = 0,4) = 96C

therefore C = 1/96

or

F(x,y) = x (1+y) / 96  ............................(1)

B)

P(x<=1, y<=1)

Repeat the integral, substitute the appropriate limits,

P = int( int(F(x,y),x=0,1), y = 0,1)

= 1/128 or 0.0078125

P(x<=1, y<=1) = 1/128 or 0.0078125 to 7 places

C)

P(x+y<=1)

From the function, we know that this is going to be less than one half of the probability in (B), closer to 1/4 of the previous.

It will be again a double integral, as follows:

P = int( int(F(x,y),x=0,1-y), y = 0,1)

= 5/2304

= 0.0021701 (to 7 decimals)

P(x+y<=1) = 5/2305, or 0.0021701 to 7 places

8 0
4 years ago
Simplify the variable expression below as much as possible.<br> 8x + 4 + 8x-1
vampirchik [111]
The simplified version would be 16x+3
6 0
4 years ago
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