Answer: Because 4 is the base of what is being exponentially multiplied, you can multiply 256 by 4 to get 4^5
Answer:
Step-by-step explanation:
The principal was compounded monthly. This means that it was compounded 12 times in a year. So
n = 12
The rate at which the principal was compounded is 4%. So
r = 4/100 = 0.04
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. The total amount is given as $100000.
1) When t is 1,
100000 = P(1+0.04/12)^12×1
100000 = P(1+0.0033)^12
100000 = P(1.0033)^12
P = 100000/1.04
P = $96154
2) When t is 10
100000 = P(1+0.04/12)^12×10
100000 = P(1+0.0033)^120
100000 = P(1.0033)^120
P = 100000/1.485
P = $67340
3) When t is 20
100000 = P(1+0.04/12)^12×20
100000 = P(1+0.0033)^240
100000 = P(1.0033)^240
P = 100000/2.2
P = $45455
4) When t is 30
100000 = P(1+0.04/12)^12 × 30
100000 = P(1+0.0033)^360
100000 = P(1.0033)^360
P = 100000/3.274
P = $30544
5) When t is 40
100000 = P(1+0.04/12)^12 × 40
100000 = P(1+0.0033)^480
100000 = P(1.0033)^480
P = 100000/4.862
P = $20568
6)When t is 50
100000 = P(1+0.04/12)^12 × 50
100000 = P(1+0.0033)^600
100000 = P(1.0033)^600
P = 100000/7.22
P = $13850
Answer:
Step-by-step explanation:
a. Associative property
b. Identity property
c. Commutative property
d. Properties of Zero
e. Properties of Zero
f. Associative property
Answer:
2,520
Step-by-step explanation:
The number of possible arrangements of officers patrolling the streets is the combination of choosing 5 officers out of 10 (₁₀C₅). After choosing the patrolling officers, the number of arrangements for the officers working full time at the station is given by the combination of choosing 2 officers out of the 5 remaining (₅C₂). The remaining officers should be on reserve at the station (₃C₃). The total number of arrangements is:
There are 2,520 possible divisions.
