MATHEMATICS HIGH SCHOOL

What 2 numbers add up to get 17 and multiply to get 42??

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What does -4x + 9x equals
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Are all horizontal lines parallel

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By definition, lines are parallel if they have the same gradient (slope). Any horizontal line has a gradient of 0, so it is parallel to any other horizontal line

For each value of kk specified in parts (a)–(e), plot the set of points in the plane that satisfy the equationx2 / k − y2 = 1.
a. k = −1
b. k = 1
c. k = 2
d. k = 4
e. k = 10
f. k = 25
g. Describe what happens to the graph of
x2 / k − y2 = 1 as k → [infinity].

Answers

Answer:

Seee answer below.

Step-by-step explanation:

a. k = −1

If K=-1 the equation gets this form:

(x^2/-1) -y^2=1

There aren't natural numbers that being negative, adding them, we get 1 as result. So there is no graph for this equation.

b. k = 1

(x^2/1) -y^2=1

This is the natural form of the equation of an hyperbola. Attached you can find the graph.

c. k = 2

(x^2/2) -y^2=1

This is the natural form of the equation of an hyperbola. Attached you can find the graph.

d. k = 4

(x^2/4) -y^2=1

This is the natural form of the equation of an hyperbola. Attached you can find the graph.

e. k = 10

(x^2/10) -y^2=1

This is the natural form of the equation of an hyperbola. Attached you can find the graph.

f. k = 25

(x^2/25) -y^2=1

This is the natural form of the equation of an hyperbola. Attached you can find the graph.

g. Describe what happens to the graph of

x2 / k − y2 = 1 as k → [infinity].

As K is increasing the value of X will be tending to 0. So the equation for this will be:

− y^2 = 1.The solution for this is in the domain of the imaginary numbers.

olivia deposits $6,952 in a savings account paying 3.72% interest. to the nearest dollar, how much money does olivia have in total after sixteen years?

Answers

The principal, P is $6 952.

Interest, R is 3.72% per year.

Time T = 16 years.

For simple interest, Amount A =   P(1 + RT)

For compound interest, A = P(1+R)^T

a) If the money was saved as Simple Interest, Amount A

A = 6952 * (1 + 3.72% * 16)

A = 6952 * ( 1 +  (3.72/100) * 16 )

A = 6952 * ( 1 + 0.5952)

A = 6952 * 1.5952

A = 11 089.8304

Amount if savings was simple interest, Amount at the end of 16 years =

$11 089.83


b) If the money was saved as Compound Interest, Amount A

A = 6952 * (1 + 3.72%)^16

A = 6952 * ( 1 +  (3.72/100))^16

A = 6952 * ( 1 + 0.0372)^16

A = 6952 * 1.0372^16.          Using your calculator.

A = 12 471.24735

Amount if savings was compounded interest, Amount at the end of 16 years =

$12 471.25

The question is was the amount saved as Simple Interest or Compound Interest?

It was not stated, but it is normal to use compound interest in real life.

I hope this helped.

How do you solve 27.5% of 88

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answer:

im getting different answers so  wait ill do it myself

Step-by-step explanation:

Answer has to be in units

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It's a deal.  Give me a question, and I'll give you an answer in units.
Yep I'll try to answer to if you would give us something to answer..

Please help, the problem is bellow

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4x + 1.25y = 500. Hope this helps
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