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evablogger [386]
3 years ago
13

James paid off the loan on his motorboat in the year 2006. He originally borrowed $6,500 to buy the boat, but with simple annual

interest, he discovered that he paid a total of $8,775 over the life of the loan. If James annual interest rate was 7%, in what year did his loan begin?
Mathematics
2 answers:
ale4655 [162]3 years ago
7 0
5 years as 6500 at a rate of 7% or 455 more dollars a year has to cover a monetary gap of $2275. divide 2275 by 455 and get a nice even 5 years
N76 [4]3 years ago
7 0

Answer:

the answer is 2001

Step-by-step explanation:

*YEET*

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A basketball gymnasium is 25 meters high, 80 meters wide and 200 meters long. We want to connect two strings, one from each of t
Rudiy27

Answer:

a) the centre is at (12.5 m, 40 m , 100 m ) with respect to our position

b) the length of the strings S will be 216.85 m

c) the angle that is formed by the strings is  1.23 rad

Step-by-step explanation:

assuming that we stand on one of the corners on the floor , so our coordinates are (0,0,0)  , then the coordinates of the center of the gymnasium   are found through

x center = (25 + 0)/2 = 12.5 m

y center = (80+ 0)/2 = 40 m

z center = (200+ 0)/2 = 100 m

then the centre is at (12.5 m, 40 m , 100 m ) with respect to our position

b) the length of the strings S will be the modulus of the vector that points from our position to the diagonally opposite corners

|S| = √(25²+80²+200²) = 216.85 m

c) the angle can be found through the dot product of the vectors that represent the strings S₁ and S₂

S₁ =(25,80,10)

S₂ =(-25,80,100)

then

S₁*S₂ = 25*(-25) +80*80 + 100*100 = 15775

but also

S₁*S₂ = |S₁||S₂| cos θ = |S|² * cos θ

S₁*S₂ =  |S|² * cos θ

cos θ= S₁*S₂/|S|²

θ= cos ⁻¹ ( S₁*S₂/|S|² ) = cos ⁻¹ [15775/(25²+80²+200²)] = 1.23 rad

7 0
2 years ago
Review the diagram below.
morpeh [17]

Answer:

the asnwer is 35°

Step-by-step explanation:

you can said bca and its gonna give you that

7 0
3 years ago
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SashulF [63]

Answer:

third option (-3,3,5,9)

Step-by-step explanation:

domain is the starting point of the set (x coordinate )

6 0
2 years ago
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lorasvet [3.4K]

Answer:

(7y + 3x)(7y - 3x)

Step-by-step explanation:

a² - b² = (a + b)(a - b)

49y² - 9x² = (7y)² - (3x)²                   {a = 7y ; b - 3x}

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2 years ago
Is 3:4 equivalent to 12:24
Nuetrik [128]
No because 3 times 4 is 12 but 4 times four is 16 and TO get from 4 to 24 you multiply 6 but 6 times 3 is 18 so no I think
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