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Anna35 [415]
2 years ago
11

Andrew has a balance of $6,000 on his credit card with an annual interest rate of 12%. To pay off the $6,000 in three years, And

rew will have to make a minimum payment of $199.29 per month. How much will Andrew pay in interest over the three year period?
Mathematics
1 answer:
amid [387]2 years ago
5 0

Answer:

$1,174.44

Step-by-step explanation:

- Three year period will have 36 payments, then the total payment is $7,174.44

- In which $6,000 is the balance of credit card at beginning

- The total interest paid over the 03 years is $1,174.44 = $7,174.44 - $6,000

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d=30-5c/2

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3 years ago
Max, a carpet installer, needs to calculate the amount of carpet needed to cover a floor that’s 3 1⁄2 yards wide and 4 3⁄4 yards
AlekseyPX

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13 1/2

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3 years ago
How do you find a vector that is orthogonal to 5i + 12j ?
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\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad \cfrac{a}{b}\\\\&#10;slope=\cfrac{a}{{{ b}}}\qquad negative\implies  -\cfrac{a}{{{ b}}}\qquad reciprocal\implies - \cfrac{{{ b}}}{a}\\\\&#10;-------------------------------\\\\

\bf \boxed{5i+12j}\implies &#10;\begin{array}{rllll}&#10;\ \textless \ 5&,&12\ \textgreater \ \\&#10;x&&y&#10;\end{array}\quad slope=\cfrac{y}{x}\implies \cfrac{12}{5}&#10;\\\\\\&#10;slope=\cfrac{12}{{{ 5}}}\qquad negative\implies  -\cfrac{12}{{{ 5}}}\qquad reciprocal\implies - \cfrac{{{ 5}}}{12}&#10;\\\\\\&#10;\ \textless \ 12, -5\ \textgreater \ \ or\ \ \textless \ -12,5\ \textgreater \ \implies \boxed{12i-5j\ or\ -12i+5j}

if we were to place <5, 12> in standard position, so it'd be originating from 0,0, then the rise is 12 and the run is 5.

so any other vector that has a negative reciprocal slope to it, will then be perpendicular or "orthogonal" to it.

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or using a unit vector for those above, then

\bf \textit{unit vector}\qquad \cfrac{\ \textless \ a,b\ \textgreater \ }{||\ \textless \ a,b\ \textgreater \ ||}\implies \cfrac{\ \textless \ a,b\ \textgreater \ }{\sqrt{a^2+b^2}}\implies \cfrac{a}{\sqrt{a^2+b^2}},\cfrac{b}{\sqrt{a^2+b^2}}&#10;\\\\\\&#10;\cfrac{12,-5}{\sqrt{12^2+5^2}}\implies \cfrac{12,-5}{13}\implies \boxed{\cfrac{12}{13}\ ,\ \cfrac{-5}{13}}&#10;\\\\\\&#10;\cfrac{-12,5}{\sqrt{12^2+5^2}}\implies \cfrac{-12,5}{13}\implies \boxed{\cfrac{-12}{13}\ ,\ \cfrac{5}{13}}
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Which of the following groups of numbers are integers?
Alenkasestr [34]
A and C are the correct answers
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