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Minchanka [31]
3 years ago
8

The total height of an office building B and the granite statue that stands on top of it g is 326.6 feet. The difference in heig

hts etween the builing and the statue is 295.4 feet
a) How tall is the statue
b) How tall is the building
show your work
Mathematics
1 answer:
Vika [28.1K]3 years ago
7 0
I can give you the height but the work wont let me put it if that's ok

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18. Determine the common difference, the fifth term, and the sum of the first 100 terms of the following sequence:
Ksenya-84 [330]

a_1=1,\ a_2=2.5,\ a_3=4,\ a_4=5.5,\ ...\\\\a_2-a_1=2.5-1=1.5\\a_3-a_2=4-2.5=1.5\\a_4-a_3=5.5-4=1.5\\a_{n+1}-a_n=1.5=constans\\\\\text{It's an arithmetic sequence with}\\a_1=1,\ \boxed{d=1.5}\\\\a_n=a_1+(n-1)d\to a_n=1+(n-1)(1.5)=1+1.5n-1.5\\\\a_n=1.5n-0.5\\\\a_5=1.5(5)-0.5=7.5-0.5=7\\\boxed{a_5=7}\\\\\text{The formula of a Sum of the First n Terms of an Arithmetric Sequence:}\\\\S_n=\dfrac{2a_1+(n-1)d}{2}\cdot n\\\\\text{We have:}\\a_1=1,\ d=1.5,\ n=100\\\\\text{Substitute}

S_{100}=\dfrac{(2)(1)+(100-1)(1.5)}{2}\cdot100=\dfrac{2+(99)(1.5)}{1}\cdot50\\\\=(2+148.5)\cdot50=150.5\cdot50=7,525\\\\\boxed{S_{100}=7,525}\\\\Answer:\\the\ common\ difference:\ d=1.5\\the\ fifth\ term:\ a_5=7\\the\ sum\ of\ first\ 100\ terms:\ S_{100}=7,525

8 0
4 years ago
Find the amount of interest.
sattari [20]

Answer:$80

Step-by-step explanation:

3 0
3 years ago
There can be more than one option answer it fast in two minutes
san4es73 [151]

all of them except the last efg and bcd

5 0
4 years ago
(4x - 3) + (3x+9)<br> Solve this!
dusya [7]

The answer for this problem would be 7x+6

Let's solve this problem step-by-step.

4x−3+3x+9

=4x+−3+3x+9

Step 1: Combine Like Terms.

=4x+−3+3x+9

=(4x+3x)+(−3+9)

So, the answer for this problem would be 7x+6.

8 0
3 years ago
Read 2 more answers
Can someone help me?
mart [117]
-2 + 8 = 6

because if you have 2 negative circles ●● and 8 positive circles ○○○○○○○○ then once you take away the first two circles you get you answer. You do the opposite. :) ( hope that make sense... )

3 0
4 years ago
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