Answer:
C. Multiply the first equation by 3/2 and subtract the second equation
Step-by-step explanation:
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]
Amount financed
320-20=300
Total paid
34×10=340
Interest
340-300=40
Interest rate
((2×12×40)÷(300×11))×100
=29.09%
Hope it helps
Use the distribution property for #10
(x+12)(x-5)
=x^2-5x+12x-60
=x^2+7x-60
not too sure abt the others
Answer:
Step-by-step explanation:
Gabriel Harris earns an annual salary of $156,000 as CFO ofTechMedia, Inc. He is married and claims three dependents. TechMediarecently converted from a weekly pay plan to a monthly pay plan.How much more will Gabriel have deducted from his monthly paythan from his weekly pay for state income tax?