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3 years ago

Solve the given differential equation. y' = 5x^2 − 1/ 5 + 4y

Mathematics

1 answer:

baherus [9]3 years ago

4 0

Consider, please, this solution. If it is possible, check it in the alternative sources.

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You deposit $6500 into an account paying 8% annual interest compounded monthly. How much money will be in the account after 7 ye

guajiro [1.7K]

Hi! Your answer is 11358.24 dollars. I hope that helps!

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3 years ago

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You own an accessories store, and sales last month were $24,000. You had $3,500 in discounts and $975 in returns.

Len [333]

Answer:

The net sales for last month were $19,525.

Step-by-step explanation:

Given:

Last month sales were $24,000.

Discounts is $3,500 and $975 in returns.

Now, to get the net sales for last month.

So, we deduct the discount:

Sales - discounts = $\$24,000 - \$3,500 =\$20,500.$

Then, we deduct the returns from the remaining amount:

Sales after discounts - returns = $\$20,500 - \$975$

= $\$19,525.$

Therefore, the net sales for last month were $19,525.

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3 years ago

Does the set of ordered pairs {(5,13), (6,12), (7,11) (9,9) (10,11)} define a function?

Tcecarenko [31]

The answer is B: Yes because each input has only one output

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2 years ago

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Paul had 3.8 pounds of bananas and 2.1 pounds of apples. About how much fruit does he have in all?

snow_tiger [21]

Answer:

5.9 pounds

Step-by-step explanation:

3.8 + 2.1 = 5.9

5 0

3 years ago

The shorter leg of a right triangle is 5 inches shorter than the longer leg. The hypotenuse is 5 inches longer than the longer l

Licemer1 [7]

Answer:

longer leg: 20 in

shorter leg: 15 in

hypotenuse: 25 in

Formulas:

Pythagorean Theorem

$c^2 = a^2 + b^2$

c ... hypotenuse

a ... one leg

b ... another leg

Pythagorean theorem is used in right triangles (triangles in which one angle is 90°).

Step-by-step explanation:

longer leg: x

shorter leg: x - 5

hypotenuse: x + 5

To find x (longer leg), let's use Pythagorean theorem.

$c^2 = a^2 + b^2\\(x+5)^2 = x^2 + (x-5)^2\\x^2 + 10x + 25= x^2 + x^2 -10x + 25\\x^2 + 10x = 2x^2 - 10x\\0 = x^2 - 20x$

Now let's factorize to get solutions for x.

$0 = x(x-20)$

First solution:

$x = 0$

Second solution:

$x - 20 = 0\\x = 20$

Since a side of a triangle has to be a positive number, x is equal to 20.

Now let's just substitute x back to get side lengths. From the question the lengths are in inches.

longer leg: x = 20 in

shorter leg: x - 5 = 20 - 5 = 15 in

hypotenuse: x + 5 = 20 + 5 = 25 in

6 0

2 years ago