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2 years ago

11

Debras fish tank 16 liters of water in it. She plans to add 4 liters per minute until the tank has more than 60 liters. What are

the possible numbers of mins Debra could add water?

1 answer:

yarga [219]2 years ago

6 0

Debras fish tank 16 liters which mean she have 80 liter

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valkas [14]

Answer:

Step-by-step explanation:

The principal was compounded monthly. This means that it was compounded 12 times in a year. So

n = 12

The rate at which the principal was compounded is 4%. So

r = 4/100 = 0.04

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years. The total amount is given as $100000.

1) When t is 1,

100000 = P(1+0.04/12)^12×1

100000 = P(1+0.0033)^12

100000 = P(1.0033)^12

P = 100000/1.04

P = $96154

2) When t is 10

100000 = P(1+0.04/12)^12×10

100000 = P(1+0.0033)^120

100000 = P(1.0033)^120

P = 100000/1.485

P = $67340

3) When t is 20

100000 = P(1+0.04/12)^12×20

100000 = P(1+0.0033)^240

100000 = P(1.0033)^240

P = 100000/2.2

P = $45455

4) When t is 30

100000 = P(1+0.04/12)^12 × 30

100000 = P(1+0.0033)^360

100000 = P(1.0033)^360

P = 100000/3.274

P = $30544

5) When t is 40

100000 = P(1+0.04/12)^12 × 40

100000 = P(1+0.0033)^480

100000 = P(1.0033)^480

P = 100000/4.862

P = $20568

6)When t is 50

100000 = P(1+0.04/12)^12 × 50

100000 = P(1+0.0033)^600

100000 = P(1.0033)^600

P = 100000/7.22

P = $13850

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3 years ago

Point P lies on the line with the equation y-4=3(x-2). If the x-coordinate of P is 4, what is the y-coordinate of P

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Let's start by tidying up that equation and put it into slope-intercept form (y = mx + b); from there, we can plug in coordinates.

$y - 4 = 3(x-2)$

Let's use the distributive property on the right side:
$y - 4= 3x - 6$

Now add 4 to both sides
$(y - 4) + 4 = (3x - 6) + 4$

Which simplifies to:
$y = 3x - 2$

Since that's the equation of our line, now we can plug in coordinates and see what it churns out.

We know that the x-coordinate of P = 4 so let's substitute 4 in for x and calculate the y-coordinate:

$y = 3(4) - 2$
$y = 12 - 2$
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So the y-coordinate for point P = 10

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Hope this helps :D
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