4.2% means 0.042 .
4.2% more than some amount is 1.042 of it.
Interest compounded annually means that a year after you deposit some money
into your bank account, the bank looks to see how much of your money has been
there for a year, and they add 4.2% of that into your account. Another way to
look at it is that they change the balance in your account, from the amount it was
a year ago, to 1.042 of that amount. That's right. They just <u>give</u> you free money !
Why that's so good is: Now the new amount in your account is 1.042 of
the amount you originally deposited, and after another year, they'll give you
another 4.2% of <em><u>that</u></em> larger amount. Then you'll have (1.042)² = about <em><u>
8.6% more</u></em><em /> than your original deposit, 2 years earlier.
At the end of any number of years ... call it 't' years ... the amount in your
account is the amount you deposited, multiplied by (1.042)^'t' power.
If you just put some money into this particular bank, and forget about it
and never touch it, you'll have <em><u>double</u></em> the amount in 17 years.
Now we can go and take care of Rhonda.
She put $3000 into a new account at the the bank, and then she forgot
about it and never touched it. How much is in that account after 't' years ?
The amount that's in that account at any time is called the 'balance'.
How much is it after 't' years ?
<em> Balance = 3,000 (1.042)^'t' power .</em>
If this is greater than the first part of the number called by the spectator (i.e., ignoring the last two digits), then the last digit of your answer is the lower of the two possible values. Otherwise the last digit is the higher value. For example if the number called is 2809, the square root could be either 53 or 57.
Answer:
If it has the little line under the > sign then x = 5
Step-by-step explanation:
Answer:
Step-by-step explanation:
The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:
--------------------(i)
From the question,
the point is (5, 0, -6)
the plane is x + y + z = 6
Therefore,
a = 5
b = 0
c = -6
m = 1
n = 1
t = 1
r = 6
Substitute these values into equation (i) as follows;
Therefore, the shortest distance from the point to the plane is
Answer:
A sinusoidal model would be used
The kind of function that have consistency in the periodic rate of change is the Average rate of changes
Step-by-step explanation:
The type of model that would be used is sinusoidal model and this is because there is periodic change in the values given ( i.e the rate of changes given )
For percentage rate of changes :
starting from 0.9% there is an increase to 1.3% then a decrease to 1.1% and a further decrease to 1% before an increase to 1.3% and another decrease to 1%
For Average rate of changes:
starting from 2.9 there is a decrease to 2.4, then an increase to 3.7 and another decrease to 3.1 followed by an increase to 3.6 and a decrease back to 3.2
This relation ( sinusoidal model ) is best suited for a linear model because there is a periodic rate of change in the functions
The kind of function that have consistency in the period rate of change is the Average rate of changes
