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irakobra [83]
3 years ago
13

if a one bedroom apartment that rents for $450 in Detroit rents for 250% of that price in manhattan, what is the rent in Manhatt

an?
Mathematics
1 answer:
lesya [120]3 years ago
4 0

Answer:

$1125

Step-by-step explanation:

To find percentage of something, we always take the percentage, convert it to decimal by dividing by 100, and then multiply that decimal with the number given.

Here, we want to find 250% of $450. First, lets convert 250% to decimal:

250/100 = 2.5

So, 250% = 2.5

Now we multiply this with $450 to find rent in Manhattan:

2.5 * 450 = $1125

That's a whooping price of $1125 in Manhattan!!

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Find the sum of the numbers as the product of their GCF and another sum. 35 + 49
AlladinOne [14]

Answer:

84 is what you get when you add them

14 is what you get when you factor their GCF then add

hope this helps plz mark brainliest


3 0
3 years ago
Prove that for any natural n the number 3^(n+4)−3^n is divisible by 16.
gtnhenbr [62]

Answer:

Proved (See Explanation)

Step-by-step explanation:

Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is done as follows

\frac{3^{n+4} - 3^n}{16}

From laws of indices;

aᵐ⁺ⁿ = aᵐ * aⁿ.

So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.

\frac{3^{n+4} - 3^n}{16} becomes

\frac{3^n * 3^4 - 3^n}{16}

Factorize

\frac{3^n(3^4 - 1)}{16}

\frac{3^n(81 - 1)}{16}

\frac{3^n(80)}{16}

3ⁿ * 5

5(3ⁿ)

<em>The expression can not be further simplified.</em>

<em>However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.</em>

3 0
3 years ago
The average score on a standardized test is 750 points with a standard deviation of 50 points. What is the probability that a st
nalin [4]
The probability that student scored more than 850 we shall proceed as follows:
z=(x-μ)/σ
where:
x=850
μ=750
σ=50
thus
z=(850-750)/50
z=2
thus
P(x>850)=1-P(x<850)=1-P(z<2)=1-0.9772=0.0228

Answer: P(x>850)=0.0228
4 0
3 years ago
Read 2 more answers
Find the values of x when y=1
kirill [66]

Answer:

x=1+\sqrt{5}, 1-\sqrt{5}

Step-by-step explanation:

  1. x^{2} -2x-4=0
  2. (x-1)^{2} -1-4=0
  3. (x-1)^{2} -5=0
  4. (x-1)^{2} =5
  5. x-1=\sqrt{5} ,-\sqrt{5}
  6. x=1+\sqrt{5} , 1-\sqrt{5}

<u>FINAL ANSWER</u>

x=1+\sqrt{5} , 1-\sqrt{5}

<u><em>In Decimal Form (Rounded to 3 significant figures)</em></u>

<em>x≈-1.24, 3.24</em>

6 0
4 years ago
Read 2 more answers
A rectangular auditorium seats 1564 people. The number of seats in each row exceeds the number of rows by 12. Find the number of
yulyashka [42]

Answer:

# of rows: 34

# of seats in each row: 46

Step-by-step explanation:

r - # of rows

s - # of seats in each row

r * s = 1564

s = r + 12

(34) * (46) = 1564

(46) = (34) + 12

Hope this helps!

7 0
3 years ago
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