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3 years ago

To buy a laptop computer, Jane borrowed $5,000 for 3 years at an annual rate of 6%.

Mathematics

1 answer:

kiruha [24]3 years ago

4 0

Answer:

5955.08

Step-by-step explanation:

First year: 5000×(6÷100)=300

Second year : 5300×(6÷100)=318

Third year : 5618×(6/100)=337.08

And = 5955.08

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The equation of a circle is ( x - 3) 2 + ( y + 2) 2 = 25. The point (8, -2) is on the circle.

Shtirlitz [24]

Answer:

x =8 is the equation of the tangent.

Step-by-step explanation:

Here the equation of the given circle is: $(x-3)^{2} + (y+2)^{2} = 25$

Now, comparing it with the general equation of circle: $(x-h)^{2} + (y -k)^{2} = r^2$

we get the central coordinates (h,k) = (3,-2)

So, the slope of the line joining center and (8, -2) = $\frac{-2 -(-2)}{8-3} = \frac{0}{5} = 0$

Since the slope of line = 0, line is parallel to x axis.

Now, as tangent and the line is perpendicular to each other

⇒Slope of the tangent = -1/ slope of the line = $\frac{-1}{0}$

Now, by point slope formula: the equation of the tangent is

(y-y0) = m (x-x0)

or, $(y +2) = \frac{-1}{0} (x -8)$

or x =8 is the equation of the tangent.

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3 years ago

Sara went out for lunch with a group of 25 friends. Each person purchased either a sandwich for $4.00 or a bowl of soup for $3.5

Brrunno [24]

The answer would be A)12

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3 years ago

A rocket was launched and its height, h, in metres, above the ground after time,

Marianna [84]

Short answer b 7m

Very simple just do the math mostly multiplying

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3 years ago

What is the slope of the line containing (-3, 5) and (6, -1)?

mario62 [17]

Answer:

-2/3

Step-by-step explanation:

The slope of a line can be represented as $\frac{y_{2} -y_{1} }{x_{2}- x_{1} }$ where (x1, y1) and (x2, y2) are points on the line. We can substitute the points given, (-3, 5) and (6, -1), to calculate the slope:

$\frac{-1-5}{6-(-3)} =\frac{-6}{6+3} =\frac{-6}{9} =-\frac{2}{3}$

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3 years ago

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John is going camping, and he needs to buy a tent. The outdoor store has one that cost $90, but it's on sale for 25% off. What i

pochemuha

Answer:

Step-by-step explanation:

Okay so, im not the best at explaining, but so we have a percentage. its 25%. you want to take the 25% and put it over 100 because a percentage is a number or ratio expressed as a fraction of 100. so it will be written as 25%/100

divide 25 by 100 and you get 0.25, correct? so that's one step further towards the answer.

then we write x/90 because we don't know (well we do) what we're gonna put. but, we're gonna multiply 0.25 by 90 and we get 22.5, which is equivalent to 22.50.

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3 years ago

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