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3 years ago

5x+3y=30 find the slope intercept form, slope, and y=intercept

1 answer:

8 0

You’d rewrite it in slope-intercept form, y=mx+b
So the answer is y=-5/3x+10
Then you can point out the slope and y-intercept after you put it in the form.
Slope = -5/3
Y-intercept = 10

Hopefully this helps!

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WILL MARK BRAINLIEST!!! Find the fifth roots of 243(cos 240° + i sin 240°).

Snowcat [4.5K]

Answer:

Step-by-step explanation:

Fifth root of 243 = 3,

Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),

then r^5( cos Ф + i sin Ф )^5 = 243(cos 240 + i sin 240).

Equating equal parts and using de Moivre's theorem:

r^5 =243 and cos 5Ф + i sin 5Ф = cos 240 + i sin 240

r = 3 and 5Ф = 240 +360p so Ф = 48 + 72p

So Ф = 48, 120, 192, 264, 336 for 48 ≤ Ф < 360

So there are 5 distinct solutions given by:

3(cos 48 + i sin 48),

3(cos 120 + i sin 120),

3(cos 192 + i sin 192),

3(cos 264 + i sin 264),

3(cos 336 + i sin 336)

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2 years ago

1.) A man invested $600 at 8% per annum for 5 years. Calculate: a.) The simple interest payable b.) The total amount of money th

Bezzdna [24]

Answer:

Following are the solution to this question:

Step-by-step explanation:

Using formula:

$\text{Simple Interest} = \frac{P \times R \times T}{100} \\\\\text{ Total amount} = \text{principle}+ \text{Simple Interest}$

In question (1):

$Principle= \$ 600\\Rate = \ 8 \%\\Time= \ 5$

In point a:

$\to \frac{P \times R \times T}{100} \\\\\to \frac{(600 \times 8 \times 5)}{100}\\\\ \to 240$

In point b:

$\to amount = principle \ +\ simple \ interest$

$= 600 + 240 \\\\= 840$

In question (2):

$Principle= \$ 12,450\\Rate = \ 7.25 \%\\Time= \ 6$

In point a:

$\to \frac{P \times R \times T}{100} \\\\\to \frac{(12,450 \times 7.25 \times 6)}{100}\\\\ \to 5,415.75$

In point b:

$\to amount = principle \ +\ simple \ interest$

$= 12,450 + 5,415.75 \\\\= 17,865.75$

The 3 question is incomplete, that's why it can't be solved.

7 0

2 years ago

Susan collected 5 cents at the recycling plant for each of her 78 cans how much did she collect all together

masya89 [10]

Answer:

$\$3.9$

Step-by-step explanation:

we know that

Susan collected 5 cents at the recycling plant for each of her 78 cans

To find out the total collected , multiply 5 cents by the total number of cans

$\$0.05(78)=\$3.9$

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2 years ago

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Ne4ueva [31]

The answer should be C.

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3 years ago

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MAVERICK [17]

The correct answer is <span>corresponding

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3 years ago