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Mrrafil [7]
3 years ago
15

Carlos didn't earn enough for the last apartment he was looking at, so he is still searching. He found one that costs $625 per m

onth, but they require that the cost of rent be no greater that a third of his monthly income. If he must earn at least 3 times the cost of his rent, what is the smallest amount of money that Carlos needs to make per month to be approved to move in?
Mathematics
1 answer:
tresset_1 [31]3 years ago
5 0

Answer:

$1875

Step-by-step explanation:

Given the information:

  • An apartment costs: $625 per month
  • They require that the cost of rent be no greater that a third of his monthly income
  • The must earn at least 3 times the cost of his rent

=> the smallest amount of money that Carlos needs to make per month to be approved to move in:

= 3 times of $625

= 3*$625

= $1875

because 625  is exactly 1/3 of $1875

Hope it will find you well.

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Nadusha1986 [10]

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12

Step-by-step explanation:

2+2+1+1+6=12

  • 2 + 2 + 1 + 1 + 6 = 12
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3 years ago
4(x+3)-(2x-1)=30+7x-1+5x
denis23 [38]

x= -8/5

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8 0
3 years ago
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Are the triangles congrouent? if so by what postulate
Roman55 [17]

Answer:

D Not enough information

Step-by-step explanation:

They give us one pair of congruent sides and we know there is a pair of  congruent angles because of vertical angles however we can't say for sure that the sides are equal because there is no theorem to prove it and we can't guess by eye in Geometry

Hope This Helps :)

5 0
3 years ago
I need help with these. They are hard.<br><br>​
iragen [17]

Answer:

Find the explicit from for the sequence t_n=t_{n-1}+4,t=6:

a_n=4n+2

This next question I edited a bit.  Your question just says find the four terms.  I'm assuming they meant the first four. I also changed the c to an a.

Find the first four terms of the sequence given by: a_n=n a_{n-1}-3,a_1=2:

a) 2,1,0.-3

You might want to read that second question again because there is errors in the question or things that don't really make sense.  I made my own interpretation of the problem based on my own mathematical experience.

Step-by-step explanation:

So your first question actually says that you can find a term by taking that term's previous term and adding 4.

So more terms of the sequence starting at first term 6 is:

6,10,14,18,....

This is an arithmetic sequence.  When thinking of arithmetic sequences you should just really by thinking about equations of lines.

Let's say we have this table for (x,y):

x  |   y

----------

1      6

2    10

3     14

4     18

So we already know the slope which is the common difference of an arithmetic sequence.

We also know point slope form of a line is y-y_1=m(x-x_1) where m is the slope and (x_1,y_1) is a point on the line.  You can use any point on the line. I'm going to use the first point (1,6) with my slope=4.

y-6=4(x-1)

y=6+4(x-1)    :I added 6 on both sides here.

y=6+4x-4     :I distribute here.

y=4x+2        :This is what I get after combining like terms.

So a_n=y and x=n so you have:

a_n=4n+2

---------------------------------------------------------------------------------------

The first four terms of this sequence will be given by:

a_1,a_2,a_3,a_4

a_1=2 so it is between choice a, c, and d.

a_n=na_{n-1}-3

To find a_2 replace n with 2:

a_2=2a_{1}-3

a_2=2(2)-3

a_2=4-3

a_2=1

So we have to go another further the only one that has first two terms 2,1 is choice a.

7 0
3 years ago
A rectangle has a perimeter of 60. Its length is 1/2(n-6) and its width is 2n+5. What is the value of n?
azamat

Answer:

n must be 3

Step-by-step explanation:

The formula for the perimeter of a rectangle of length L and width W is

P = 2L + 2W.  Substituting (1/2)(n - 6) for L and 2n + 5 for W, we get:

P = 60 = n - 6 + 4n + 10, or:

      60 = 5n + 4, or:

       15 = 5n

Then n must be 3.

4 0
3 years ago
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