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3 years ago

Find the slope of the line through (2,-2) and 5,-1)

Mathematics

1 answer:

Kitty [74]3 years ago

4 0

Answer:

$m=\frac{1}{3}$

Step-by-step explanation:

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(2,\:-2\right),\:\\\left(x_2,\:y_2\right)=\left(5,\:-1\right)\\\\m=\frac{-1-\left(-2\right)}{5-2}\\\\m = \frac{-1+2}{3}\\ \\Simplify\\m = \frac{1}{3}$

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A investor obtained a loan of $600,000 to buy a car wash business. The monthly mortgage payment was based on 30 years at 5.5%. F

Lisa [10]

Answer:

The monthly mortgage payment is $ 8306.58

Step-by-step explanation:

Given as :

The loan taken as $ 600,000

The rate of interest = 5.5 %

The time period = 30 Years

So, from compounded method

Amount = principal × $(1 +\frac{Rate}{100})^{Time}$

or, Amount = $ 600,000 × $(1 +\frac{5.5}{100})^{30}$

Or, Amount = $ 600,000 × $(1.055)^{30}$

∴ Amount = $ 2990370.77

<u>Now for The monthly mortgage payment </u>

∵ Time period is 30 years

So , 30 years = 12 × 30 = 360 months

∴ Amount payment in monthly =$ $\frac{2990370.77}{360}$

Or, Amount payment in monthly =$ 8306.58

Hence The monthly mortgage payment is $ 8306.58 Answer

4 0

3 years ago

Convert 12.4 hours to hours and minutes.

Katen [24]

Answer:

12.4=12 hours and 24 minutes

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Mr. Garcia's storage shed area has a length that is 7

iragen [17]

Answer:

width = 6 feet

length = 19 feet

Step-by-step explanation:

'w' = width

'2w+7' = length

50 = 2w + 2(2w+7)

50 = 2w + 4w + 14

36 = 6w

6 = w

length = 2(6)+7 = 19

6 0

2 years ago

Check that 2b+b and 3b have the same value when b is 1,2, and 3. Do 2b+b and 3b have the same value for all values of b? Explain

Inessa [10]

Answer:

Expression 2b+b and 3b have same values for all values of b.

Step-by-step explanation:

Given the two expression $2b+b$ and $3b$ and values of b as 1, 2 and 3.

Consider first expression that is, $2b+b$ .

Substituting the value of $b=1$ ,

$2\left(1\right)+\left(1\right)=2+1=3$ ....1

Substituting the value of $b=2$ ,

$2\left(2\right)+\left(2\right)=4+2=6$ ....2

Substituting the value of $b=3$ ,

$2\left(3\right)+\left(3\right)=6+3=9$ ....3

Consider second expression that is, $3b$ .

Substituting the value of $b=1$ ,

$3\left(1\right)=3$ ....4

Substituting the value of $b=2$ ,

$3\left(2\right)=6$ ....5

Substituting the value of $b=3$ ,

$3\left(3\right)=9$ ....6

For value of b=1, equation 1 and equation 4 are same, for value of b=2, equation 2 and equation 5 are same and for value of b=3 equation 3 and equation 6 are same.

Therefore both expression are same for all values of b.

3 0

2 years ago

In Littletown, the probability that a baseball team goes to the city playoffs is 0.30. the probability that the team goes to the

salantis [7]

THIS IS THE COMPLETE QUESTION BELOW;

In Littletown, the probability that a baseball team goes to the city playoffs is 0.30. the probability that the team goes to the state playoffs given that the team goes to the city playoffs is 0.20.

What is the probability that a randomly selected team from Littletown goes to the city and state playoffs?

A. 0.10

B.0.50

C. 0.66

D. 0.06

Answer:

OPTION D is correct

d)0.06

the probability that a randomly selected team from Littletown goes to the city and state playoffs is $0.06$

Step-by-step explanation:

The probability that a baseball team goes to city playoffs is 0.30.

P(baseball team goes to city playoffs)=0.30

The probability that the team goes to state playoffs given that the team goes to the city playoffs is 0.20.

P(team goes to state playoffs given that the team goes to the city playoffs)=0.20

From our knowledge of set, we know that

P(A | B)= P(A ∩ C)/P(C)

where A= city playoffs

B= state playoffs

P(State play off | city play off)=0.20

P(State play off ∩ city play off)/P(city play off,)=0.20

P(State play off ∩ city play off)/0.30 =0.20

P(State play off ∩ city play off)= 0.30 × 0.20

= 0.06

Hence,the probability that a randomly selected team from Littletown goes to the city and state playoffs is 0.06

7 0

3 years ago