Answer:
k= -1
Step-by-step explanation:
-12 = - 4 (− 3 – 6k )
first divide both sides by -4
3=-3-6k
move the variable to the left side by adding 6k to both sides
6k+3=-3
subtract 3 from both sides
6k= -6
divide by 6 on both sides
k= -1
Answer:
SA= 84 cm^2
Step-by-step explanation:
So first locate all the surfaces
we got 5 sides in total
Now calculate each one
Lets start with the 2 triangles
so formula for area of triangl is 1/2(b*h)
So in this case it’s 6
Now there are 2 identical triangles
So Times the 6 by 2
You’ll get 12
Thats 2 sides
Now for the side with the rectangle of 5cm and 6cm
Area of rectangle is 5*6=30
That would onay be 1 side
Now for the bottom of the prisim which is the side with 4cm and 6cm
Same rectangle so multiply
4*6=24
Thats another side down
The last side is on the left with the back not visible. The two dimensions are 6 and 3
Now multiply 6*3
18
Now add up your total
18+24+12+30=84
So 84 cm^2 OR 84 square centimeters
Answer:
The total earned after 30 days is 465000.
Step-by-step explanation:
The amount of money that I'll recieve can be modelled as a arithmetic sequence in which the next element is related to the prior by a sum of a rate "q". This sequence can be seen below:
{1000, 2000, 3000, ...}
Where q = 1000. In order sum all the "n" terms on a sequence of this kind we can use the following formula:
Sn = (n/2)*(a1 + an)
And to find the term an, we can use the formula:
an = a0 + (n-1)*r
Where n is the position of the number we want to calculate, in this case 30, a0 is the first number on the sequence and r is the rate between consecutive numbers. So the 30th term is:
a30 = 1000 + (30 -1)*1000
a30 = 1000 + 29*1000
a30 = 1000 + 29000 = 30000
And the total obtained is:
s30 = (30/2)*(1000 + 30000) = (30/2)*(31000)
s30 = 930000/2 = 465000
The total earned after 30 days is 465000.
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