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3 years ago

What is an equation of the line that passes through the point (3,-1) and is perpendicular to the equation y=-3x+2

1 answer:

8 0

If it is perpendicular then the slope of it will be:

$-3 \times x = -1\\\\x = \frac{1}{3}$

y = 1/3 x + b

-1 = (1/3)(3) + b

-1 = 1 + b

b = -2

The equation is:

$y = \frac{1}{3}x - 2$

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John borrowed $ from bank for 3 years at a rate of 10%

garik1379 [7]

<h3>Given:</h3>

P= $12500
R= 10%
T= 3 years

P= Principal amount
R= Rate of interest
T= Time period

The simple interest
The total amount paid

<h3>Solution:</h3>

$\large\boxed{Formula: I= \frac{PRT}{100}}$

First, we'll have to multiply, principal amount (12500), rate (10) and time period (3).

$12500×10×3$

$=375000$

Now, we'll have to divide the amount (375000) by 100.

$\frac{375000}{100}$

I=$3750

Now, we can find the total amount paid.

$\large\boxed{A=SI+P}$

Let's substitute according to the formula.

$A=3750+12500$

A=$16250

Therefore, simple interest is $3750 and $16250 was paid in total.

5 0

1 year ago

A 4.5 kg cat requires medication at a dose rate of 5 mg/kg once daily for the next 7 days. The tablets are available in 10 mg st

Marta_Voda [28]

Answer:

Approximately 16 tablets of medicine

Step-by-step explanation:

Based on the information above , we can use a Rule of Three to first figure out how many mg the cat would need to ingest per day.

$\frac{5mg}{1kg} = \frac{x}{4.5kg}$

$\frac{5mg*4.5kg}{1kg} = 22.5mg$

Now we see that the cat needs to take a daily dose of 22.5mg. Since the Tablets come at a strength of 10 mg per tablet then,

$22.5 / 10 = 2.25$

The cat would need to take 2.25 tablets per day. Since she needs to take the dose for the next 7 days then,

$2.25 * 7 = 15.75$

She would need to take approximately 16 tablets of medicine during the week .

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

5 0

3 years ago

What is a value of y that satisfies the inequality below? y3≤12

STALIN [3.7K]

Answer:

Step-by-step explanation:

because 4 Times 3 equals 12 so less than or equal to hope this helps

8 0

3 years ago

Read 2 more answers

What is the answer plz help

atroni [7]

Answer:

108

Step-by-step explanation:

12/4=3

36 x 3 = 108

3 0

3 years ago

Are the two triangles similar

Scilla [17]

Answer:

yes

Step-by-step explanation:

8 0

2 years ago