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Anika [276]
3 years ago
7

Sonia received a statement on her Certificate of Deposit showing that her investment had returned $4,320 over its life. If the C

ertificate of Deposit pays a simple interest rate of 4.8% and her initial investment was $12,000, how long had the money been invested?
Mathematics
1 answer:
bija089 [108]3 years ago
6 0

Answer:

The correct answer is -7.5 years.

Step-by-step explanation:

Given:

Principle amount = 12000

Interest = 4320

time = ?

rate = 4.8 simple interest

Solution:

We know that simple Interest I = (P*t*r)/100

then t = I*100/p*r

putting values in formula:

t = 4320*100/4.8*12000

= 432000/57,600

= 7.5 years

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Manufacture of a certain component requires three different machining operations. Machining time for each operation has a normal
tigry1 [53]

Answer:

0.0314 = 3.14% probability that it takes at most 1 hour of machining time to produce a randomly selected component

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Sum of normal variables:

When normal variables are added, the mean is the sum of the means while the standard deviation is the square root of the sum of the variances.

The mean values are 20, 15, and 30 min, respectively:

This means that \mu = 20 + 15 + 30 = 65

The standard deviations are 1, 2, and 1.5 min, respectively.

This means that \sigma = \sqrt{1^2 + 2^2 + 1.5^2} = 2.6926

What is the probability that it takes at most 1 hour of machining time to produce a randomly selected component?

Mean and standard deviation are in minutes, so this is the pvalue of Z when X = 60.

Z = \frac{X - \mu}{\sigma}

Z = \frac{60 - 65}{2.6926}

Z = -1.86

Z = -1.86 has a pvalue of 0.0314

0.0314 = 3.14% probability that it takes at most 1 hour of machining time to produce a randomly selected component

7 0
2 years ago
On Monday it snowed 9 inches. The next day it snowed 1/2 that amount. How much did it snow on the second day?
riadik2000 [5.3K]
It probably snowed 4.5 inches
3 0
2 years ago
How do you do this....
Angelina_Jolie [31]

Answer:

Answer is "No real Solution"

4 0
3 years ago
2. A sum of $400 was shared between Samantha and Jade. Samantha received S100 more than Jade. a) If Jade received $150, how much
Marina CMI [18]

Answer:

Samantha share =$250

ratio = 5:3

Step-by-step explanation:

Samantha

= jade + 100

jade

150

samantha

150 + 100 = 250

ratio

250:150

5:3

5 0
2 years ago
Which equations support the fact that rational numbers are closed under addition?
Talja [164]
Do you mean
√9 + √9 = 2√9 


if so it is the answer
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3 years ago
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