Answer:
It is more efficient to use order of operations because with the distributive property, you would have to multiply four times and add once (5 things to do), whereas with order of operations, you have to add twice and multiply twice (4 things to do).
Step-by-step explanation:
Answer:
2x+4
Step-by-step explanation:
The equation of the line in point-slope form is expressed as;
y - y0 = m(x-x0)
Using the coordinates (0,4) and (-2, 0)
Slope = 0-4/-2-0
slope = -4/-2
slope = 2
Substitute m = 2 and the point (0,4) into the formula;
y - 4 = 2(x-0)
y - 4 = 2x
since y = 4 + 2x
y = 2(x+2)
Hence the required equation is 2x+4
Answer:
1. Start with $1 and then double the money you have everyday for 30 days. You would end up with 1,073,741,824 on the 30th day.
Step-by-step explanation:
Why you should choose the first option:
1 x 2 = 2
2 x 2 = 4
4 x 2 = 8
8 x 2 = 16
16 x 2 = 32
32 x 2 = 64
64 x 2 = 128
128 x 2 = 256
256 x 2 = 512
512 x 2 = 1024
1024 x 2 = 2048
2048 x 2 = 4096
4096 x 2 = 8192
8192 x 2 = 16384
16384 x 2 = 32768
32768 x 2 = 65536
65536 x 2 = 131072
131072 x 2 = 262144
262144 x 2 = 524288
524288 x 2 = 1048576
1048576 x 2 = 2097152
2097152 x 2 = 4194304
4194304 x 2 = 8388608
8388608 x 2 = 16777216
16777216 x 2 = 33554432
33554432 x 2 = 67108864
67108864 x 2 = 134217728
134217728 x 2 = 268435456
268435456 x 2 = 536870912
536870912 x 2 = 1073741824
Given Information:
Years = t = 35
Semi-annual deposits = P = $2,000
Compounding semi-annually = n = 2
Interest rate = i = 6.5%
Required Information
Accumulated amount = A = ?
Answer:
Accumulated amount = $515,827
Step-by-step explanation:
The future value of amount earned over period of 35 years and interest rate 6.5% with semi-annual deposits is given by
FV = PMT * ((1 + i/n)^nt - 1)/(i/n))
Where
n = 2
i = 0.065
t = 35
FV = 2000*((1 + 0.065/2)^2*35 - 1)/(0.065/2))
FV = 2,000*(257.91)
FV ≈ $515,827
Therefore, Anthony will have an amount of $515,827 when he retires in 35 years.