To help Carmen find the total after 3 years
We'll have to use the annual compound interest formula: A = P(1 + r)ⁿ
A = Final balance (?)
P = Principal balance (6000)
r = Rate (0.028)
n = years (3)
A = 6000(1 + 0.028)³
A = 6000(1.028)³
A = 6000(1.086373952)
A = 6518.243712
Round that to the nearest cent, and we get $<u>6,518.24 </u>as the answer.
Answer:
gift 1:
424 cm^2
570 cm^3
gift 2:
1420.5 cm^2
3622.5 cm^3
Step-by-step explanation:
We have to calculate the surface area of these gifts in order to know the amount of wrapping paper.
The formula for the surface area is:
A = 2*ab + 2*ac + 2*bc
Gift 1:
A = 2*6*10 + 2*6*9.5 + 2*10*9.5
A = 424 cm^2
That means that gift 1 needs 424 cm^2 of wrapping paper
Gift 2:
A = 2*14*17.25 + 2*14*15 + 2*17.25*15
A = 1420.5 cm^2
That means that gift 2 needs 1420.5 cm^2 of wrapping paper
Now, to calculate the cubic centimeters of packaging peanuts, we calculate the volume, the volume has as formula:
V = a*b*c
Gift 1:
V = 6*10*9.5
V = 570 cm^3
This means that gift 1 needs 570 cm^3 of packaging peanuts
Gift 2:
V = 14*17.25*15
V = 3622.5 cm^3
That means that gift 2 needs 3622.5 cm^3 of packaging peanuts
Answer:
x^3+6x^2-17x+2
Step-by-step explanation:
(x-2)*(x^2+8x-1)
=x(x^2+8x-1)-2(x^2+8x-1)
=x^3+8x^2-x-2x^2-16x+2
collect like terms
= x^3+6x^2-17x+2
The circumference when the diameter is 18 = 18pi
The circumference when the diameter is 6 = 6pi
18pi/6pi=3
The circumference will become a third of what it was.
Hope this helps!
I beileive he inherited 1,176.45 i tried to put my work on here but i couldnt find a way that it would make sense
