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Allushta [10]
3 years ago
13

What is the relationship between a conjecture, a theorem, two column proof

Mathematics
1 answer:
Afina-wow [57]3 years ago
4 0
Conjecture
is an educated guess based on known information. Reached by using inductive reasoning
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Is perpendicular to the line y = 2x + 1<br> and through the point (-1,5)
Monica [59]

Answer:

-2x+3

Step-by-step explanation:

Using y=mx+b

To make the line perpendicular, you just need to make the slope (m=2) negative. To make it go through (-1, 5), you just need to adjust the b value to raise the graph to a point where it will pass through the point.

4 0
3 years ago
The Taylors have purchased a $320,000 house. They made an initial down payment of $20,000 and secured a mortgage with interest c
gogolik [260]
Part A: monthly payment

Initial loan after downpayment,  
P = 320000-20000= 300,000

Interest rate per month, 
i = 0.06/12= 0.005

Number of periods, 
n = 30*12= 360

Monthly payment, 
A = P*(i*(1+i)^n)/((1+i)^n-1)
= 300000(0.005(1.005)^360)/(1.005^360-1)
= 1798.65


Part B: Equities
Equity after y years
E(y) = what they have paid after deduction of interest
= Future value of monthly payments - cumulated interest of net loan
= A((1+i)^y-1)/i - P((1+i)^y-1)
= 1798.65(1.005^y-1)/.005 - 300000(1.005^y-1)
= (1798.65/.005-300000)(1.005^y-1)

Equity E
for y = 5 years = 60 months
    E(60) = (1798.65/.005-300000)(1.005^60-1) = 18846.17
for y = 10 years = 120 months
    E(120) = (1798.65/.005-300000)(1.005^120-1) = 45036.91
y = 20 years = 240 months
    E(240) = (1798.65/.005-300000)(1.005^240-1) = 132016.53

Check: equity after 30 years
y = 30 years = 360 months
    E(360) = (1798.65/.005-300000)(1.005^360-1) = 300000.00  .... correct.
3 0
3 years ago
Read 2 more answers
Sin 70°cos 10°-cos 70°sin 10=√3/2
hoa [83]
Let a =70° and b= 10° (and a-b=70-10 =60)
We have the following trigonometric identity:

sin(a-b) = sin(a).cos(b)-sin(b).cos(a) OR:
sin(70-10) = sin70.cos10 - sin10.cos70
But sin(70-10) = sin(60) and we know that sin(60°) =(√3)/2
8 0
3 years ago
What is the slope of the line <br>y=5+4x<br>1)5<br>2)9<br>3)1<br>4)4​
kifflom [539]
Correct Answer to this question is 4
6 0
3 years ago
What is the slope of the line shown below (-1,6) (2-3)
cestrela7 [59]

Answer:

-3

Step-by-step explanation:

m = -y₁ + y₂\-x₁ + x₂

This is the <em>Rate</em><em> </em><em>of</em><em> </em><em>Change</em><em> </em>[<em>Slope</em>] Formula. Just apply it, and you will arrive at your answer, but beware of double negatives. They become positives.

I am joyous to assist you anytime.

7 0
3 years ago
Read 2 more answers
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