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skad [1K]
4 years ago
5

HELP ME PLEASE

Mathematics
1 answer:
Gennadij [26K]4 years ago
8 0
Let P be the final value
Let r be the rate
Let t be the time in years
Let C be the initial value
Let n be the number of times interest is given per year

P = C (1 + r/n) ^ (nt)

r = 0.075 (7.5%)
t = 3/4 years
C = $1500
r = 4 (4 quarters in one year)

P = C (1+r/n)^ (t/n)
= 1500 * (1 + 0.075/4) ^ (3/4 * 4)
= 1585.97

Have an awesome day!

If you are wondering, a quarter means 1/4 of a year.
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Step-by-step explanation:

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Hope this helps!

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3 years ago
A candy company claims that 20% of the candies in its bags are colored green. Steve buys 30 bags of 30 candies, randomly selects
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Answer:

The probability of Steve agreeing with the company’s claim is 0.50502.

Step-by-step explanation:

Let <em>X</em> denote the number of green candies.

The probability of green candies is, <em>p</em> = 0.20.

Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies.

So, <em>n</em> = 30 candies are randomly selected.

All the candies are independent of each other.

The random variable <em>X</em> follows a binomial distribution with parameter <em>n</em> = 30 and <em>p</em> = 0.20.

It is provided that if there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct.

Compute the probability of 5, 6 and 7 green candies as follows:

P(X=5)={30\choose 5}(0.20)^{5}(1-0.20)^{30-5}=0.17228\\\\P(X=6)={30\choose 6}(0.20)^{6}(1-0.20)^{30-6}=0.17946\\\\P(X=7)={30\choose 7}(0.20)^{7}(1-0.20)^{30-7}=0.15328

Then the probability of Steve agreeing with the company’s claim is:

P (Accepting the claim) = P (X = 5) + P (X = 6) + P (X = 7)

                                       = 0.17228 + 0.17946 + 0.15328

                                       = 0.50502

Thus, the probability of Steve agreeing with the company’s claim is 0.50502.

7 0
3 years ago
How many different elements are involved in the chemical reaction shown? *
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Answer:

(8,21)

Step-by-step explanation:

Since both equations equal y, set both equaitions equal to each other

and solve for x

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