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Roman55 [17]
3 years ago
15

Delaney is saving money in an account that offers 9% simple interest. She deposits 2000 from her grandmother into the account an

d makes no additional deposits or withdraws. How many years will it take to grow to 4,700
Mathematics
1 answer:
Brrunno [24]3 years ago
6 0

Answer:

15years

Step-by-step explanation:

Given data

Rate= 9%

Principal= $2000

Final amount= $4700

The simple interest formula is given as

A= P(1+rt)

Substitute

4700=2000(1+0.09*t)

4700= 2000+ 180t

4700-2000= 180t

2700=180t

t= 2700/180

t= 15 years

Hence the time is 15years

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Some sources report that the weights of​ full-term newborn babies in a certain town have a mean of 8 pounds and a standard devia
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Answer:

0.682 is the probability that one newborn baby will have a weight within one standard deviation of the​ mean.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ =  8 pounds

Standard Deviation, σ = 0.6 pounds

We are given that the distribution of weights of​ full-term newborn babies is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(weight between 7.4 and 8.6 ​pounds)

P(7.4 \leq x \leq 8.6) = P(\displaystyle\frac{7.4 - 8}{0.6} \leq z \leq \displaystyle\frac{8.6-8}{0.6}) = P(-1 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -1)\\= 0.841 - 0.159 = 0.682 = 68.2\%

P(7.4 \leq x \leq 8.6) = 6.82\%

This could also be found with the empirical formula.

0.682 is the probability that one newborn baby will have a weight within 0.6 pounds of the mean.

7 0
3 years ago
A factory packages 4250 boxes of cereal. The number of oat cereal boxes is 715 more than the number of wheat cereal boxes. The n
ozzi
O = number of oat cereal, w = number of wheat cereal, f = number of fruit cereal:

o + w + f = 4250
o = w + 715
f = 5w

The second equation tells us the value of o in terms of w, and the third equation tells us the value of f in terms of w, so we can plug in "w + 715" for o and "5w" for f in the first equation:

o + w + f = 4250
(w + 715) + w + (5w) = 4250

Then, add like terms and subtract and divide to isolate the w:

w + 715 + w + 5w = 4250
7w + 715 = 4250                           Subtract 715 on both sides:
7w = 3535                                    Divide by 7 on each side:
w = 505

Now that we have w, we can plug it into the last equation to find f, the number of fruit cereal boxes:

f = 5w
f = 5(505)
f = 2525

Therefore, the factory packages 2525 fruit cereal boxes.
4 0
4 years ago
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