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Vaselesa [24]
3 years ago
15

What is the sum of the sequence 1+3+5+7+...+99 Use Gauss's approach to find the following sum.

Mathematics
1 answer:
jenyasd209 [6]3 years ago
5 0
Gauss's approach is to add the same sequence in reverse order, namely

S=1+3+5+7+......+95+97+99
S=99+97+95+......+7+5+3+1
---------------------------------------
2S=(1+99)+(3+97)+(5+95)+......(95+5)+(97+3)+(99+1)=50*100=5000
=> sum = (2S)/2 = 5000/2=2500.
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Dominic considers buying 2 points on a 25-year, fixed rate mortgage for $187,600. His interest rate will be 5.45% if he does not
algol [13]

Answer:

If Dominic buys 2 points (2% of the loan value) he will get a better rate and hence less payment.  The question is asking how long will it take him to save the initial investment of 2% of the loan value due to a smaller payment.  The monthly payment at 5.45% is  $1,146.43,  the monthly payment for 5.2% is  $1,118.66.  This is a difference of  $27.77 per month.  The 2 points will cost him  $3,752.00.  The question is asking how long will it take Dominic to re-coup his  $3,752.00 if he saves $27.77 per month.  Just divide the 2 numbers and you get  135.10 months.  If you divide that by 12 you get 11.26 years, which is roughly 11 years, 4 months.

Step-by-step explanation:

Here is what the question is asking.  If Dominic buys 2 points (2% of the loan value) he will get a better rate and hence less payment.  The question is asking how long will it take him to save the initial investment of 2% of the loan value due to a smaller payment.  The monthly payment at 5.45% is  $1,146.43,  the monthly payment for 5.2% is  $1,118.66.  This is a difference of  $27.77 per month.  The 2 points will cost him  $3,752.00.  The question is asking how long will it take Dominic to re-coup his  $3,752.00 if he saves $27.77 per month.  Just divide the 2 numbers and you get  135.10 months.  If you divide that by 12 you get 11.26 years, which is roughly 11 years, 4 months.

3 0
3 years ago
Sara wanted to put a trim on her curtains. She measured the curtains and found that they were 4.5 yards long. How many inches is
Maru [420]
The answer would be 162inches!!!!

5 0
3 years ago
Read 2 more answers
4/3 b + 2 equals 4 - 1/3 be​
DIA [1.3K]

I do not understand what you are asking but I am going to assume that you are trying to simplify the equation.

First, write the equation.

(4/3)b + 2 = 4 - (1/3)b

Add (1/3)b to each side.

(5/3)b + 2 = 4

Subtract 2 on each side.

(5/3)b = 2

Divide by (5/3) on each side

b = 1.2

b = 1.2 is your final answer.

3 0
3 years ago
Read 2 more answers
In 1985, there were 285 cell phone subscribers in Arlington. The number of subscribers increased by 75% per year since 1985. Fin
ANTONII [103]

Answer:

The number of subscribers in 2008 is 110,845,988

Step-by-step explanation:

The number of cell phone subscribers in Arlington, in t years after 1985, can be modeled by the following equation.

N(t) = N(0)(1+r)^{t}

And which N(0) is the number of subscribers in 1985 and r is the rate it increases per year, as a decimal.

In 1985, there were 285 cell phone subscribers in Arlington.

This means that N(0) = 285

The number of subscribers increased by 75% per year since 1985.

This means that r = 0.75

So

N(t) = 285(1.75)^{t}

Find the number of subscribers in 2008.

2008 is 2008-1985 = 23 years after 1985. So we have to find N(23).

N(23) = 285(1.75)^{23} = 110,845,988

The number of subscribers in 2008 is 110,845,988

8 0
3 years ago
Find YW. YW = _<br><br> I just need the answer for YW no explanation needed.
KATRIN_1 [288]

Answer:

YW=20\ units

Step-by-step explanation:

we know that

In a parallelogram the diagonals bisect each other

The figure XYZW is a parallelogram

so

VW=VY

VX=VZ

<em>Find the value of b</em>

VW=VY

substitute the given values

b+8=5b

solve for b

5b-b=8\\4b=8\\b=2

Find the length of YW

YW=YV+VW ----> by addition segment postulate

YW=5b+b+8

substitute the value of b

YW=6(2)+8=20\ units

8 0
3 years ago
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