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3 years ago

Jill sold half of her comic books and then bought sixteen more. She now has 36. With how many did she begun?

Mathematics

2 answers:

astraxan [27]3 years ago

5 0

36-16=20

20•2=40

Jill started off with 40 comic books

Hope this helps!

In-s [12.5K]3 years ago

3 0

Since Jill sold <u>half</u>, you would solve this by multiplying 36 by 2, which would be 64. A way to check this would be to divide your answer, or 62 by 2 (which symbolizes half).

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3 years ago

identify the graph of 9x^2-25y^2=225 for t(0 5) and write an equation of the translated or rotated graph in general form

tamaranim1 [39]

ANSWER

The required equation is:

$9 {x}^{2} - 25{y}^{2} + 250y - 85 0=0$

EXPLANATION

The given equation is

$9 {x}^{2} - 25 {y}^{2} = 225$

Dividing through by 225 we obtain;

$\frac{ {x}^{2} }{25} - \frac{ {y}^{2} }{9} = 1$

This is a hyperbola that has it's centre at the origin.

If this hyperbola is translated so that its center is now at (0,5).

Then its equation becomes:

$\frac{ {(x - 0)}^{2} }{25} - \frac{ {(y - 5)}^{2} }{9} = 1$

We multiply through by 225 to get;

$9 {x}^{2} - 25( {y - 5})^{2} = 225$

We now expand to get;

$9 {x}^{2} - 25( {y}^{2} - 10y + 25 )= 225$

$9 {x}^{2} - 25{y}^{2} + 250y - 6 25 = 225$

The equation of the hyperbola in general form is

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5 0

3 years ago

Read 2 more answers

Select the correct answer.

iris [78.8K]

The future value of $1,000 invested at 8% compounded semiannually for five years is $\bold{\$ 1,480}$

<u>Solution:</u>

$\bold{A = P (1 + i )^{n}}$ ----------- equation 1

A = future value

P= principal amount

i = interest rate

n = number of times money is compounded

P = 1000

i = 8 %

$\mathrm{n} = \text { compounding period } \times \text {number of years}$

(Compounding period for semi annually = 2)

$\mathrm{n} = \text { compounding period } \times \text {number of years}$

Dividing “i” by compounding period

$i = \frac{8 \%}{2} = 0.04$

Solving for future value using equation 1

$\begin{array}{l}{A = 1000(1 + 0.04)^{10}} \\\\ {=1000 (1.04)^{10}}\end{array}$

$= 1480.2$

$\approx 1,480 \$$

3 0

3 years ago