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Novay_Z [31]
3 years ago
11

What is the equation of the line that contains the point 46x30 and has a slope of -3?

Mathematics
1 answer:
BARSIC [14]3 years ago
6 0

Answer:

y=-3x+30

Step-by-step explanation:

Written in: y=mx+b

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A suit is on sale 32% off. The sale price is $221
Olegator [25]

Answer:

are you trying to get the discount amount?  or the discount off the $221 if so

$221 x .32 = $70.72 discount amount off the sale price $221 which would make the final price $150.28

Step-by-step explanation:

8 0
2 years ago
Use the "rule of 72" to estimate the doubling time (in years) for the interest rate, and then calculate it exactly. (Round your
Law Incorporation [45]

Answer:

According to the rule of 72, the doubling time for this interest rate is 8 years.

The exact doubling time of this amount is 8.04 years.

Step-by-step explanation:

Sometimes, the compound interest formula is quite complex to be solved, so the result can be estimated by the rule of 72.

By the rule of 72, we have that the doubling time D is given by:

D = \frac{72}{Interest Rate}

The interest rate is in %.

In our exercise, the interest rate is 9%. So, by the rule of 72:

D = \frac{72}{9} = 8.

According to the rule of 72, the doubling time for this interest rate is 8 years.

Exact answer:

The exact answer is going to be found using the compound interest formula.

A = P(1 + \frac{r}{n})^{nt}

In which A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

So, for this exercise, we have:

We want to find the doubling time, that is, the time in which the amount is double the initial amount, double the principal.

is double the initial amount, double the principal.

A = 2P

r = 0.09

The interest is compounded anually, so n = 1

A = P(1 + \frac{r}{n})^{nt}

2P = P(1 + \frac{0.09}{1})^{t}

2 = (1.09)^{t}

Now, we apply the following log propriety:

\log_{a} a^{n} = n

So:

\log_{1.09}(1.09)^{t} = \log_{1.09} 2

t = 8.04

The exact doubling time of this amount is 8.04 years.

4 0
3 years ago
What is the answer to 5x + 2 = 3x
3241004551 [841]

Answer:

  • x = -1

Explanation:

5x + 2 = 3x

5x - 3x = -2

2x = -2

x = \dfrac{-2}{2}

x = -1

Hope this helps! ☺

4 0
3 years ago
Read 2 more answers
I dont get 5 and 6 help me!!!!
Kitty [74]

Answer:

5) A

6) A

Step-by-step explanation:

5) With the sides of the rectangle being dilated, multiply the side lengths by the scale factor

7.5(2.2) and 3(2.2)

16.5 and 6.6

6) Multiply the coordinates by the scale factor as dilations work as (x, y) -> (kx, ky)

6 0
3 years ago
Read 2 more answers
How do i simplify -3x-15?
galina1969 [7]

Answer:

45

Step-by-step explanation:

-3 \times -15

Cancel the negative signs on both sides.

3 \times 15

Evaluate.

=45

8 0
3 years ago
Read 2 more answers
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