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eduard
3 years ago
11

Investors buy a studio apartment for $150,000. Of this amount, they have a down payment of

Mathematics
1 answer:
myrzilka [38]3 years ago
5 0

Answer:

30% and 40%

Step-by-step explanation:

given the following:

purchase price = $150,000

down payment = $45,000

down payment as a percentage of purchase price

=( 45,000/150,000) x 100%

= 30%

if the down payment is now $60,000, then the down payment as a percentage of purchase price will now be,

=( 60,000/150,000) x 100%

= 40%

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a linear system with no solution consists of the equation y=4x-3 and a second equation of the form y=mx+b. what can you say abou
Akimi4 [234]
The value of m must be 4 and the value of b must NOT be -3.

No matter what numbers they involve, two equations with the SAME slope (m) and a DIFFERENT y-intercept (b) have no solution.  This is because they form parallel lines, never crossing and therefore never giving a solution.
6 0
3 years ago
On average, Tanner has noticed that 22 trains pass by his house daily (24 hours) on the nearby train tracks. What is the probabi
blondinia [14]

Answer:

0.11069

Step-by-step explanation:

We will assume that the trains pass by his house following a uniform distribution with values between 0 and 24. The probability of a train passing on a 9-hour time period is 9/24 = 3/8 = 0.375. Lets call Y the amount of trains passing by his house during that 9-hour period. Y follows a Binomail distribution with parameters 22 and 0.375.

P(Y ≤ 5) = P(Y = 0) + P(Y=1) + P(Y=2) + P(Y=3) + P(Y=4) + P(Y=5) =

{22 \choose 0} * 0.375^0*(1-0.375)^{22} + {22 \choose 1}*0.375^1*(1-0.375)^{21} +\\\\{22 \choose 2} * 0.375^2*(1-0.375)^{20} + {22 \choose 3}*0.375^3*(1-0.375)^{19}  + \\{22 \choose 4} * 0.375^4*(1-0.375)^{18} + {22 \choose 5}*0.375^5*(1-0.375)^{17} = 0.11069

I hope that works for you!

4 0
3 years ago
Anne and Willow are reading the copy of the same magazine for an assignment.
Kamila [148]

Answer:

Page number 74

Step-by-step explanation:

Let

x ---> the number of days

y ---> the number of pages read

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

we have

<em>Anne</em>

The slope is equal to

m=20\ \frac{pages}{day}

The y-intercept is equal to

b=14\ pages

substitute

y=20x+14 ----> equation A

<em>Willow</em>

The slope is equal to

m=22\ \frac{pages}{day}

The y-intercept is equal to

b=8\ pages

substitute

y=22x+8 ----> equation B

equate equation A and equation B

22x+8=20x+14

solve for x

22x-20x=14-8\\2x=6\\x=3\ days

Find the value of y

substitute the value of x in equation A or equation B

equation A

y=20(3)+14=74\ pages

equation B

y=22(3)+8=74\ pages

7 0
3 years ago
Write two mixed numbers that are equal to 7.5.
Elenna [48]
7 1/2 and also 7 1/5
5 0
3 years ago
Read 2 more answers
One group (A) contains 330
katrin2010 [14]

Answer:

group A.)220/330

group B.)339/509

Step-by-step explanation:

2/3 of 330 is 220 therefore the people selected in group a to win $100 fuel cards  will be 220/330

same thing for group B. 2/3 of 509 is 339 so the answer will be 339/509

                                  (hope i helped:))

4 0
4 years ago
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