A friend lends you $360 which you agree to repay with 3% interest. How much will you have to repay?

Mathematics

1 answer:

Kazeer [188]3 years ago

4 0

Answer:

I think u would have to repay 120....

Step-by-step explanation:

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6x-2y=24 how do u solve for y

Tatiana [17]

It's Diophantine equation.
First, we need to found gcd(6,(-2)):
6=2*3
(-2)=(-1)*2

So, gcd(6,-2)=2
Now, the question is. Can we dived c=24, by gcd(6,-2) and in the end get integer?
Yes we can.
$\frac{24}{2} =12$
So, we can solve it.

Now is the formula:
${\begin{cases}x=x_{0}+n{\frac {b}{\gcd(a,\;b)}}\\y=y_{0}-n{\frac {a}{\gcd(a,\;b)}}\end{cases}}\quad n\in \mathbb {Z} .$

Second, we need the first pair (x0,y0)
if
x=0
then
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Third, we gonna use that formula:
${\begin{cases}x=-n}\\y=-3(4+n)}\end{case}\quad n\in \mathbb {Z} .$
Congratulations! We solve it.

8 0

3 years ago

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Directed line segment AB has endpoints A(2,3) and B(8,15). Point P has coordinated P(6,11). What ratio does P partition AB into?

Vladimir79 [104]

Refer to the graph shown below. It confirms that points A, B and P are
collinear.

Calculate the length of AP (as a).
a = √[(6 - 2)² + (11 - 3)²]
= 8.9443

Calculate the length of BP (as b).
b = √[(8 - 6)² + (15 - 11)²]
= 4.4721

Calculate ratio a/b.
a/b = 8.9443/4.4721 = 2
Therefore P partitions AB in a 2:1 ratio so that AP = 2*BP.

Answer: 2:1 ratio.

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2 years ago

Which equation is y= 2x ^2 - 8x +9 rewritten in vertex form.

tankabanditka [31]

y= 2x ^2 - 8x +9

y = a(x - h)2 + k, where (h, k) is the vertex of the parabola
so
y= 2x ^2 - 8x + 9
y= 2x ^2 - 8x + 8 + 1
y = 2(x^2 - 4x - 4) + 1
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3 years ago

Help it is Parts of an Algebraic Expression

nlexa [21]

Answer:

terms- + -

variables- x p

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constant- 9

Step-by-step explanation:

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3 years ago

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stepan [7]

Answer:

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Step-by-step explanation:

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