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____ [38]
3 years ago
9

What is the sum of the arithmetic sequence 3, 9, 15 if there are 34 terms?

Mathematics
1 answer:
Tanya [424]3 years ago
4 0
<h3>Answer:  3468</h3>

===================================================

Work Shown:

a = first term = 3

d = common difference = 6

S(n) = sum of the first n terms of an arithmetic sequence

S(n) = (n/2)*(2a + d(n-1))

S(34) = (34/2)*(2*3 + 6(34-1))

S(34) = 3468

--------

Check:

3+9+15+21+27+33+39+45+51+57+63+69+75+81+87+93+99+105+111+117+123+129+135+141+147+153+159+165+171+177+183+189+195+201 = 3468

I used GeoGebra to generate the 34 terms shown above. You could do so by hand (start at 3; add 6 to each term to get the next one), but it's a tedious busywork type of problem in my opinion. It's best left to computer software.

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What is the GRM for a residential duplex with a selling price of $234,000 if the monthly rent for each unit is $925? A. l.054 B.
stiks02 [169]

Answer:

126.5

Step-by-step explanation:

Given :The monthly rent for each unit is $925

To Find : What is the GRM for a residential duplex with a selling price of $234,000 if the monthly rent for each unit is $925?

Solution:

Annual Gross Rents = $925

Property Value = $234,000

For answer to be 126.5 , $925 must be semiannual rent

So, annual rent = 925*2

Formula : Property Value = Annual Gross Rents X Gross Rent Multiplier (GRM)

Substitute the values :

234000=925 \times \text{Gross Rent Multiplier}

\frac{234000}{925 \times 2}= \text{Gross Rent Multiplier}

126.5 = \text{Gross Rent Multiplier}

Hence The GRM for a residential duplex with a selling price of $234,000 if the monthly rent for each unit is $925 is  126.5

So, Option D is true .

5 0
3 years ago
HELP PLEASE!!! I don't have a lot of time, please help!!!
Colt1911 [192]

Answer:

Step-by-step explanation:

It is a function, since each student gets only one score one final exam,]

Domain is each student,

the first to last

Range is the score each student got:

(however the scoring was made)

f(each student) is a function because each student, or each element of the domain corresponds to the score, one and only one element of the range.

4 0
3 years ago
Which of these is a simplified form of the equation 9y + 5 = 7 + 3y + 2y?
ArbitrLikvidat [17]
We just have to solve  to get a simplified answer

we have 
        9y + 5 = 7 + 3y + 2y 
       9y +5 = 7 + 5y 
       9y-5y= 7-5
       4y=2
so if we solve further we will not get the answer that is given in option 
so option d is the write answer


      
3 0
4 years ago
Read 2 more answers
Given: △ABC, m∠A=60°
kakasveta [241]

Answer:

perimeter = 28.68 cm

area = 15.48 cm^2

Step-by-step explanation:

1. complete the angles in the triangle. sum of all the angles in a triangle is 180 degrees.

therefore 180 - (60 +45) = 75

angle at B is 75 degrees

2. find the sides of the triangle using the sine formula for triangle

sin A/a = sin B/b = sin C/c

we have the angle at C and the side opposite C is also give, we can use that with any other

3. sin A/a = sin C/c

sin 60/a = sin 45/8

make a subject

a = 9.78 cm

4. sin A/a = sin B/b

sin 60/9.78 = sin 75/b

make b subject

b = 10.90 cm

with the three sides, we know that perimeter is the length around an object

adding all the lengths together will give the perimeter

perimeter = 10.90 + 8 + 9.78

= 28.68 cm

5. to find the area we need to find the high of the triangle since the expression for the area of a triangle is area =\frac{1}{2} bh

6. bisecting the side BC will give have as 4.89 cm

7. using Pythagoras theorem we can find the height of the traingle

c^2 = a^2 + b^2

8^2=(4.89)^2 + b^2

64 - 23.9121 = b^2

b= \sqrt{40.0879}

b =6.33 cm

insert this into the formula above will give the value for area

which is 15.48 cm^2

area = 1/2 (4.89)(6.33)

7 0
3 years ago
What is the slope of the line that passes through the points (2, 8) and (6, 12)?
algol13
The answer is C. The "ruse over run" as most might say is 4/4 which simplifys to 1, so it's up one over one.
6 0
3 years ago
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