Answer:
Step-by-step explanation:
The terms of this sum make the arithmetic sequence.
The fomula of a sum of <em>n</em> terms of an arithmetic sequence:
![S_n=\dfrac{[2a_1+(n-1)d]\cdot n}{2}](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7B%5B2a_1%2B%28n-1%29d%5D%5Ccdot%20n%7D%7B2%7D)
We have
Substitute:
![S_{50}=\dfrac{[2\cdot2+(50-1)\cdot15]\cdot50}{2}=(4+49\cdot15)\cdot25=(4+735)\cdot25\\\\=739\cdot25=18,475](https://tex.z-dn.net/?f=S_%7B50%7D%3D%5Cdfrac%7B%5B2%5Ccdot2%2B%2850-1%29%5Ccdot15%5D%5Ccdot50%7D%7B2%7D%3D%284%2B49%5Ccdot15%29%5Ccdot25%3D%284%2B735%29%5Ccdot25%5C%5C%5C%5C%3D739%5Ccdot25%3D18%2C475)
Answer:
y=4x+2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(6-2)/(1-0)
m=4/1
m=4
y-y1=m(x-x1)
y-2=4(x-0)
y-2=4x
y=4x+2
Answer:
9sqrt2.
Step-by-step explanation:
sqrt8 + 3sqrt2 + sqrt32
= sqrt4 * sqrt2 + 3 sqrt2 + sqrt16 * sqrt2
= 2sqrt2 + 3sqrt2 + 4 sqrt2
= 9 sqrt2.
Answer:
$20.85 less.
Step-by-step explanation:
City sales:
7% tax = 48.65
total bed cost = $743.65
Nearby City:
4% tax = 27.8
total bed cost = $722.8
city sale - nearby city
743.65 - 722.8
=20.85
1,265 divided by 34 is 37.20588235
