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4 years ago

What is the equation of the line whose slope is 3 that passes through the point (-1, 5).

1 answer:

3 0

We knownthe equation of a line is y = mx + b. where m is slope and b is y intercept.

the point slope equation of a line is y - y1 = m (x - x1)

plug in x1 and y1 and m
y- (5) = (3)(x - (-1))
y - 5 = 3x + 3
y = 3x + 8

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What simple interest rate would allow $6000 to grow to an amount of $14550 in 10 years?

Harman [31]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{ \: 14.25 \: \% \: }}}}}$

Step-by-step explanation:

Given,

Principal ( P ) = $ 6000

Amount ( A ) = $ 14550

Time ( T ) = 10 years

Rate ( R ) = ?

Finding the Interest

The sum of principal and interest is called an amount.

From the definition,

$\boxed{ \sf{Amount = \: Principal + Interest}}$

plug the values

⇒ $\sf{14550 = 6000 + Interest}$

Swap the sides of the equation

⇒ $\sf{6000 + Interest = 14550}$

Move 6000 to right hand side and change its sign

⇒ $\sf{Interest = 14550 - 6000}$

Subtract 6000 from 14550

⇒ $\sf{Interest = \: 8550 \: }$

Interest = $ 8550

Finding the rate 

${ \boxed{ \sf{Rate = \frac{Interest \times 100}{Principal \times Time}}}}$

plug the values

⇒ $\sf{ Rate = \frac{8550 \times 100}{6000 \times 10} }$

Calculate

⇒ $\sf{Rate = \frac{855000}{60000} }$

⇒ $\sf{Rate = 14.25 \: \% \: }$

Hope I helped!

Best regards!!

8 0

3 years ago

Christen sells boxes of cookies for $4 each. Rafael sells boxes of cookies for $7 each. Each of them sold the same dollar amount

KATRIN_1 [288]

Answer:

28$ and christen sold 7 boxes while Rafael sold 4

Step-by-step explanation:

lower common multiple so take 4 x 7 = 28 as then take the 28 and divide by how much Christen gets a box which is 4 and 28 divided by 4 is 7

3 0

3 years ago

Read 2 more answers

If you have 26 ounces of chicken how many people can you feed

IRISSAK [1]

Answer:

between 8 and 9

Step-by-step explanation:

the normal serving size for meat is around 3 ounces so 26 divided by 3 would be between 8 and 9

6 0

3 years ago

2 Points

pav-90 [236]

Subtract 15 from both sides.
28-15=13
X=13

7 0

4 years ago

What is the factor of 32 and 50

Dahasolnce [82]

2 is the GCF of 32 and 50.

7 0

3 years ago

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