Answer:
1000
Step-by-step explanation!
The formula for the amount accrued [ƒ(x)] on an investment earning compound interest is f(t) = P(1 + r)^t where:
P = the amount of money invested (the principal)
r = the interest rate per payment period expressed as a decimal fraction
t = the number of periods
Your formula is
f(x) = 1000(1 + 0.05)^x
In comparison, we can see that the term that represents the amount of money originally invested is 1000.
Answer:
D. (4, -4)
Step-by-step explanation:
Convert to vertex form by completing the square.
For a polynomial y = x² + bx + c, first add and subtract (b/2)² to the polynomial. Then factor.
Here, b = -8. So (b/2)² = (-8/2)² = 16.
y = x² − 8x + 12
y = x²− 8x + 16 − 16 + 12
y = (x − 4)² − 16 + 12
y = (x − 4)² − 4
The vertex is (4, -4).
The probability that I will end up with one card from each suit is 3/32 when I choose four cards from a standard-card deck, with replacement. This can be obtained by finding probability of each draw.
<h3>What is the required probability?</h3>
- The probability of drawing first card is one, that is the card can be of any suite.
- The probability of drawing second card is,
⇒ 52 cards - 13 cards (1 suite) = 39 cards (remaining 3 suites)
On the second draw, we have a (39/52) = (3/4) probability of drawing a different suite from the first draw
- The probability of drawing third card is,
⇒ 52 cards - 26 cards (2 suite) = 26 cards (remaining 2 suites)
On the third draw we have a (26/52) = (1/2) probability of drawing a suite different from the first two draws
- The probability of drawing fourth card is,
⇒ 52 cards - 39 cards (3 suite) = 13 cards (remaining 1 suites)
On the last draw we have a (13/52) = (1/4) probability of drawing a different suite from the ones we drew on the first three draws
So the probability = (1) (3/4) (1/2) (1/4) = 3/32
Hence the probability that I will end up with one card from each suit is 3/32 when I choose four cards from a standard-card deck, with replacement.
Learn more about probability here:
brainly.com/question/17058636
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