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2 years ago

How do find what conjecture is and how to prove it ?

Mathematics

1 answer:

algol132 years ago

7 0

Answer:

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Write the exponential equation for this scenario. Mike buys a car for $45,000.00. The cars value depreciates (loses value) at a

gladu [14]

Answer:

$A=45000(0.82)^t$

Step-by-step explanation:

Given data

P= 45,000

rate= 18%

Recall the expression for the compound interest

$A=P(1+r)^t$

Since we are talking of depreciation

$A=P(1-r)^t$

Substitute

$A=45000(1-0.18)^t\\\\A=45000(0.82)^t$

Hence the exponential function is

$A=45000(0.82)^t$

6 0

2 years ago

Wendy borrowed a 370-page book from the library. She has already read 20 pages. The book is due back to the library in 7 days. W

Leviafan [203]

Answer:

n ≥ 50

Step-by-step explanation:

Total pages = 370

Read pages = 20

Number of days remaining = 7

Reading rate per day = n

7n + 20 ≥ 370

7n ≥ 370 - 20

7n ≥ 350

n ≥ 350/7

n ≥ 50 pages per day for the remaining 7 days

5 0

2 years ago

Let f(x) = Ax + B and g(x) = Cx + D where A, B, C, and D are non-zero constants. Use upper case letters for A, B, C, D and lower

Elodia [21]

Answer:

Let f(x) = Ax + B and g(x) = Cx + D where A, B, C, and D are non-zero constants. Use upper case letters for A, B, C, D and lower case letter for x in your answers below. (a) Find f(g(x)). f(g(x)) = A(Cx + D) + B (b) Find the slope of the function you found in part (a). slope = (c) Find the vertical intercept of the function you found in part (a). Do not write your answer as a point

6 0

2 years ago

Show that the line 4y = 5x-10 is perpendicular to the line 5y + 4x = 35

Shkiper50 [21]

Step-by-step explanation:

<h2><em><u>concept :</u></em></h2><h2 /><h2><em><u>concept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.</u></em></h2><h2 /><h2><em><u>concept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.Equation of line in the form y = mx + c have m as slope of line and c as y-intercept.</u></em></h2><h2 /><h2><em><u>concept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.Equation of line in the form y = mx + c have m as slope of line and c as y-intercept.Solution:</u></em></h2><h2 /><h2><em><u>concept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.Equation of line in the form y = mx + c have m as slope of line and c as y-intercept.Solution:Given equations of lines are</u></em></h2><h2 /><h2><em><u>concept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.Equation of line in the form y = mx + c have m as slope of line and c as y-intercept.Solution:Given equations of lines are4y = 5x-10</u></em></h2><h2 /><h2><em><u>concept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.Equation of line in the form y = mx + c have m as slope of line and c as y-intercept.Solution:Given equations of lines are4y = 5x-10or, y = (5/4)x(5/2).</u></em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>(</em><em>1</em><em>)</em></h2><h2 /><h2><em><u>5y + 4x = 35</u></em></h2><h2 /><h2><em><u>5y + 4x = 35ory = (-4/5)x + 7.</u></em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>(</em><em>2</em><em>)</em></h2><h2 /><h2><em><u>Let m and n be the slope of equations i and ii, respectively.</u></em></h2><h2 /><h2><em><u>Let m and n be the slope of equations i and ii, respectively.Here, m = 5/4</u></em></h2><h2 /><h2><em><u>Let m and n be the slope of equations i and ii, respectively.Here, m = 5/4n= -4/5</u></em></h2><h2 /><h2><em><u>Let m and n be the slope of equations i and ii, respectively.Here, m = 5/4n= -4/5therefore, mx n = -1</u></em></h2><h2 /><h2><em><u>Let m and n be the slope of equations i and ii, respectively.Here, m = 5/4n= -4/5therefore, mx n = -1Hence, the lines are perpendicular.</u></em></h2>

8 0

2 years ago

If m< xyz=68 and m Mee!

torisob [31]

Answer:

Angle ZXY = 41 degrees.

Step-by-step explanation:

If WX is parallel to ZY then angle XZY = 71 degrees.

Angle ZXY = 180 - 68 - 71 = 41 degrees.

3 0

2 years ago