Answer:
The numbers or measurements being compared are called the terms of the ratio. A rate is a special ratio in which the two terms are in different units. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.
Step-by-step explanation:
Answer:
the first one
Step-by-step explanation:
8 one thousand block is 8000
0 hundreds 000
4 tens. 40
6 ones. 6
8046
Current amount in account
P=36948.61
Future value of this amount after n years at i=11% annual interest
F1=P(1+i)^n
=36948.61(1.11)^n
Future value of $3000 annual deposits after n years at i=11%
F2=A((1+i)^n-1)/i
=3000(1.11^n-1)/0.11
We'd like to have F1+F2=280000, so forming following equation:
F1+F2=280000
=>
36948.61(1.11)^n+3000(1.11^n-1)/0.11=280000
We can solve this by trial and error.
The rule of 72 tells us that money at 11% deposited will double in 72/11=6.5 years, approximately.
The initial amount of 36948.61 will become 4 times as much in 13 years, equal to approximately 147800 by then.
Meanwhile the 3000 a year for 13 years has a total of 39000. It will only grow about half as fast, namely doubling in about 13 years, or worth 78000.
Future value at 13 years = 147800+78000=225800.
That will take approximately 2 more years, or 225800*1.11^2=278000.
So our first guess is 15 years, and calculate the target amount
=36948.61(1.11)^15+3000(1.11^15-1)/0.11
=280000.01, right on.
So it takes 15.00 years to reach the goal of 280000 years.
The square root of a whole number will be rational if the whole number is a perfect square (i.e 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144 etc) and irrational otherwise.
Rational number is a number that can be described as m/n
so a fraction can be a rational number, 0.8=4/5
Irrational numbers can't be written as a fraction
The part about the number having to be a perfect square is still correct, if it's not a prefect square than it will just keep going(a decimal that never ends)
for example the square root of 0.64 is 0.8
and the square root of 10 is 3.162277...
as you can see the 0.64 one ends and is rational, whereas the 10 one just keeps going and is irrational.
