Answer:
492,800
Step-by-step explanation:
Given ith term of an arithmetic sequence as shown:
ai = a(i-1)+2
and a1 = 5
When i = 2
a2 = a(2-1)+2
a2 = a1+2
a2 = 5+2
a2 = 7
When i = 3
a3 = a(3-1)+2
a3 = a2+2
a3 = 7+2
a3 = 9
It can be seen that a1, a2 and a3 forms an arithmetic progression
5,7,9...
Given first term a1 = 5
Common difference d = 7-5= 9-7 = 2
To calculate the sum of the first 700 of the sequence, we will use the formula for finding the sum of an arithmetic sequence.
Sn = n/2{2a1+(n-1)d}
Given n = 700
S700 = 700/2{2(5)+(700-1)2}
S700 = 350{10+699(2)}
S700 = 350{10+1398}
S700 = 350×1408
S700 = 492,800
Therefore, the sum of the first 700 terms in the sequence is 492,800
Answer:
the cost of the bench is $806
Step-by-step explanation:
853 minus 47 is 806
In every case the larger number is rounded up to 2E13.
Divide this by 3E8:
2E13 = 200000E8
-------- --------------- is approx equal to 70000 (dollars).
3E8 3E8
Answer:
Step-by-step explanation:
First, find the <em>rate of change</em> [<em>slope</em>]:
Then plug these coordinates into the Slope-Intercept Formula instead of the <em>Point-Slope Formula</em> because you get it done much swiftly. It does not matter which ordered pair you choose:
5 = 2⁄7[8] + b
2 2⁄7
If you want it in <em>Standard Form</em>:
y = 2⁄7x + 2 5⁄7
- 2⁄7x - 2⁄7x
________________
−2⁄7x + y = 2 5⁄7 [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]
−7[−2⁄7x + y = 2 5⁄7]
__________________________________________________________
3 = 2⁄7 + b
y = 2⁄7x + 2 5⁄7
- 2⁄7x - 2⁄7x
_______________
−2⁄7x + y = 2 5⁄7 [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]
−7[−2⁄7x + y = 2 5⁄7]
** You see? I told you it did not matter which ordered pair you choose because you will always get the exact same result.
I am joyous to assist you anytime.
Answer:
it would be C
Step-by-step explanation:
5(10%)+25%