Hello,
Part A:
f(2)=4*2²=16
f(1)=4*2^1=8
2-1=1
(f(2)-f(1))/(2-1)=(16-8)/1=8 ; r_1=8
f(3)=4*2^3=32
f(4)=4*2^4=64
(f(4)-f(3))/(4-3)=(64-32)/1=32 ; r_2=32
Part B:
r_2=32=4*8=4*r_1
Explainations:
(4*2^2-4*2^1)/(2-1)=4*2^1(2-1)=4*2
(4*2^4-4*2^3)/(4-3)=4*2^3*(2-1)=4*8=(4*2)*4
Answer:
a. $3,333.33
b. $223,333.31
Step-by-step explanation:
a. $50,000 value increase and difference of 15 years 50,000/15 = 3,333.333333= 3333.33
b. difference 2006 and 1999 is 7 years, growth by year is $3333.33 so 3333.33 * 7 = 23,333.31 is difference in growth in those 7 years plus the original value of 1999 is $223,333.31
Answer:
14 cups
Step-by-step explanation:
1 3/4 x 8 = 14
Standard form is just putting (in this case) variables in alphabetical order. First we simplify- 2x+4=4y would become 1/2x+1=y. This is already in standard form, as numbers w/o variables come at the end. simplifying the next one is more tricky. first you get a variable/number alone-
9-2x-2y=4x+3
9-2y=6x+3
6-2y=6x
1-1/3y=x
1=x+1/3y
3=x+y
x+y=3
sorry if I was wrong and not of any help, But I do believe this is correct.
You can find the height by finding out the number of boxes and plugging it into an equation. Height = 7.5(Number of Boxes)
