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xeze [42]
3 years ago
13

carl invests $10000,partly in a secure GIC at 5% and the rest in a mutual fund that he thinks will earn 7.5%. if he expects to e

arn the same amount of interest in both, how much did he invest at each rate
Mathematics
1 answer:
Oduvanchick [21]3 years ago
6 0
Let the amount he invested in the 5% rate be x and the one in the 7.5% rate be y, then
x + y = 10000 . . . (1)
0.05x = 0.075y . . . (2)

From (2), x = 0.075y/0.05 = 1.5y . . . (3)

Putting (3) into (1) gives
1.5y + y = 10000
2.5y = 10000
y = 10000/2.5 = 4000
x = 1.5(4000) = 6000

Therefore, he invested $6,000 in the secure GIC at 5% and $4,000 in the mutual fund.
 
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Gina and Stewart are surf-fishing on the Atlantic coast, where both bluefish and pompano are
viktelen [127]

Using the normal distribution, it is found that due to the greater z-score, Stewart caught the longer fish relative to the same specie.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

To find who caught the longer fish relative to the same specie, we need to find out who had the higher z-score.

Stewart caught a bluefish with a length of 322 mm, hence the parameters are as follows:

X = 322, \mu = 267, \sigma = 39

The z-score is:

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

Z = \frac{322 - 267}{39}

Z = 1.41

Gina caught a pompano with a length of 176 mm, hence the parameters are as follows:

X = 176, \mu = 155, \sigma = 28

The z-score is:

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

Z = \frac{176 - 155}{28}

Z = 0.75.

Hence Stewart caught the longer fish relative to the same specie.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

8 0
1 year ago
Does a line that bisects an angle of a triangle also bisects the side that is opposite the angle?
Mekhanik [1.2K]
Yes, the bisecting line will also bisect the side
7 0
3 years ago
Read 2 more answers
Using new equipment, a worker finished 4 more parts in an hour than was planned and fulfilled his daily task not in 8 hours, but
UNO [17]
Let the planned number of parts per hour = x 
<span> Then the planned number of parts for the day = 8x 
</span><span> By finishing 4 more parts in an hour than was planned (x + 4) he fulfilled his daily task in 6 hours. 
</span><span> So he finished 6(x + 4) parts that day. 
</span><span> 6(x + 4) = 8x 
</span><span> 6x + 24 = 8x 
</span><span> 2x = 24 
</span><span> x = 12 </span>
6 0
2 years ago
-8.0 is classified as?Select all that apply * Natural Number Whole Number Integer Rational Number
grigory [225]

Answer:

Integer and Rational Number

Step-by-step explanation:

Natural numbers are positive numbers starting at 1 and going onward.  Since -8.0 is not a positive number, it is not a natural number.

Whole numbers are natural numbers and 0 altogether.  -8 is not greater than zero or positive, so it is not a whole number.

A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.  -8.0 can also be written as -8/1, so it is a rational number and an integer, since every integer is a number over 1 and also a rational number.

7 0
3 years ago
Which formula can be used to find the nth term of a geometric sequence where the first term is 8 and the common ratio is -3
kirill [66]
Hello : 
<span>the nth term is : an= a1×q^(n-1)....... a1 = 8  and q = -3

</span>an= 8×(-3)^(n-1)<span>


</span>
8 0
3 years ago
Read 2 more answers
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