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>
Answer:
D
Step-by-step explanation:
Given
(x + 2)² + 5(x + 2) - 6 = 0
Using the substitution u = x + 2 , then the equation can be expressed as
u² + 5u - 6 = 0 → D
The average rate of change of a linear function is the slope of the line. Since we are given the following coordinates:
(0,150) and (3,0)
We can easily solve for the slope.
m = (y2 - y1) / (x2 - x1)
m = (0 - 150) / (3 - 0) = -50
Therefore, the average rate of change of the function in the three seconds is -50.
Answer:
59.4
Step-by-step explanation:
Answer: 2x³-10x²+12x or 2x(x²-5x+6)
Step-by-step explanation:
(p*q)(x) means p(x) and q(x) multiplied together.
(2x²-4x)(x-3)
2x³-6x²-4x²+12x
2x³-10x²+12x
You can also factor this by taking out a 2x.
2x(x²-5x+6)
