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yan [13]
3 years ago
7

What is the distance between point A(2,9) and B(-2,6)

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
6 0

Answer:

The distance among those points is 5 units

Step-by-step explanation:

See the picture please

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You wish to borrow $8000 for debt consolidation. The bank's interest rate for a personal loan is 7.2%. What is your monthly paym
Lisa [10]
<h3>The monthly payment  is $242.44 for loan to paid off in 3 years.</h3>

Step-by-step explanation:

The amount borrowed = Principal = $8000

The rate of interest = 7.2%

Time (T)  = 3 years

Now, Simple Interest = \frac{P\times R \times T}{100}

\implies SI  = \frac{8000 \times 7.2  \times 3}{100}  = 1,728

So, the total interest = $1728

Now, <u>Amount to be paid  = Principal + Interest</u>

⇒ A = $8000 + $1728  = $8728

Also, 1 year = 12 months

⇒  3 years  = 3 x 12 months  = 36 months

So, total amount to be paid in 36 months is $8728.

⇒The  amount to be paid in 1 month is (\frac{8728}{36} )  = 242.44

Hence, the monthly payment  is $242.44 if loan is to paid off in 3 years.

3 0
3 years ago
Which represents a perfect cube?<br> A.8x8x8<br> B.8+8+8<br> C.9x9x9x9<br> D.9+9+9+9+9
Setler [38]

Answer:a

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Factor 6y 2 - 48 + 42y.<br><br> (6y + 8)(y - 6)<br> 6(y + 8)(y - 1)<br> 6(y - 1)(y - 7)
astraxan [27]

Answer:

6 (y + 8) (y - 1)

Step-by-step explanation:

Factor the following:

6 y^2 + 42 y - 48

Factor 6 out of 6 y^2 + 42 y - 48:

6 (y^2 + 7 y - 8)

The factors of -8 that sum to 7 are 8 and -1. So, y^2 + 7 y - 8 = (y + 8) (y - 1):

Answer: 6 (y + 8) (y - 1)

PS: it's really helpful to pose the question correctly 6 y^2 + 42 y - 48  NOT

6y 2 - 48 + 42y

3 0
3 years ago
Read 2 more answers
Writer y=3/4x+8 in standard form
Harman [31]

Answer:

3x - 4y = -32

Step-by-step explanation:

6 0
3 years ago
Consider a simple example of moral hazard. Suppose that Woodrow goes into a casino to make one bet a day. The casino is very bas
Neko [114]

Answer:

The expected value of the safe bet equal $0

Step-by-step explanation:

If  

S=\left\{s_1,s_2,...,s_n\right\}

is a finite numeric sample space and

P(X=s_k)=p_k for k=1, 2,..., n

is its probability distribution, then the expected value of the distribution is defined as

E(X)=s_1P(X=s_1)+s_2P(X=s_2)+...+s_nP(X=s_n)X)

What is the expected value of the safe bet?

In the safe bet we have only two possible outcomes: head or tail. Woodrow wins $100 with head and “wins” $-100 with tail So the sample space of incomes in one bet is

S = {100,-100}

Since the coin is supposed to be fair,  

P(X=100)=0.5

P(X=-100)=0.5

and the expected value is

E(X) = 100*0.5 - 100*0.5 = 0

6 0
3 years ago
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