This is a perfect square trnomial
(a+b)²=a²+2ab+b²
we see that a=5x and b=2
(5x)²+2(5x)(2)+2²=0
factor
(5x+2)²=0
set equal to zero
5x+2=0
5x=-2
x=-2/5
Answer:
2678.06
Step-by-step explanation:
Annual is once every year and 3.5% of 2,500.00 is
3.5% ×2,500.00 = 87.5
so in the first year Deirdre has 2500.00 + 87.5 = 2587.5
then you find 3.5% of 2587.5 which is 90.56250000000001
but since it's money we round it to 90.56
2587.5+90.56= 2678.06
Answer:
3 hundreds
Step-by-step explanation:
10*3*10=300
unit for is 3 hundreds standard form is 300
First term ,a=4 , common difference =4-7=-3, n =50
sum of first 50terms= (50/2)[2×4+(50-1)(-3)]
=25×[8+49]×-3
=25×57×-3
=25× -171
= -42925
derivation of the formula for the sum of n terms
Progression, S
S=a1+a2+a3+a4+...+an
S=a1+(a1+d)+(a1+2d)+(a1+3d)+...+[a1+(n−1)d] → Equation (1)
S=an+an−1+an−2+an−3+...+a1
S=an+(an−d)+(an−2d)+(an−3d)+...+[an−(n−1)d] → Equation (2)
Add Equations (1) and (2)
2S=(a1+an)+(a1+an)+(a1+an)+(a1+an)+...+(a1+an)
2S=n(a1+an)
S=n/2(a1+an)
Substitute an = a1 + (n - 1)d to the above equation, we have
S=n/2{a1+[a1+(n−1)d]}
S=n/2[2a1+(n−1)d]
You and your 2 nieces bakes 27 cupcakes. This means that there were 27 cupcakes to be distributed evenly between the 3 of you. So divide 27 by 3 to get your answer.
27 ÷ 3 = 9.
This means that each of you would get 9 miniture cupcakes to take home.
