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REY [17]
3 years ago
14

If you deposit $5000 into an account paying 6% annual interest compounded monthly, how long until

Mathematics
2 answers:
Anna35 [415]3 years ago
7 0

Answer:

3,000

Step-by-step explanation:

mafiozo [28]3 years ago
5 0

Answer:

7.85 years which I think rounds to about 7 years and 11 months

Step-by-step explanation:

The formula for compound interest is

AV=PV*(1+\frac{i}{n})^{t*n}

Where AV = Accumulated Value (or Future value)

PV= Present value

i= nominal interest rate

n= number of times compunded in a period (here a period is a year)

t= number of periods (years in this case)

We can plug this numbers in to get

8000=5000*(1+(.06/12))^12x

First we divide by 5000 to get

1.6=(1.005)^12x

We can rewrite this into a logarithim

log₁.₀₀₅1.6=12x

The formatting here is kind of weird but I'm trying to say that log base 1.005 1.6 = 12x

We can compute this and get

94.2355=12x

divide by 12 to get that

x=7.85 Years

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A recent study of the hourly wages of maintenance crew members for major airlines showed that the mean hourly salary was $20.50,
bixtya [17]

Answer:

0.3413 = 34.13% probability that the crew member earns between $20.50 and $24.00 per hour

Step-by-step explanation:

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

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

A recent study of the hourly wages of maintenance crew members for major airlines showed that the mean hourly salary was $20.50, with a standard deviation of $3.50.

This means that \mu = 20.5, \sigma = 3.5

a. Between $20.50 and $24.00 per hour

This is the pvalue of Z when X = 24 subtracted by the pvalue of Z when X = 20.5. So

X = 24

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

Z = \frac{24 - 20.5}{3.5}

Z = 1

Z = 1 has a pvalue of 0.8413

X = 20.5

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

Z = \frac{20.5 - 20.5}{3.5}

Z = 0

Z = 0 has a pvalue of 0.5

0.8413 - 0.5 = 0.3413

0.3413 = 34.13% probability that the crew member earns between $20.50 and $24.00 per hour

3 0
3 years ago
What is the area of a square that has a perimeter of 40 feet? Explain your reasoning
icang [17]
If it is a 10 by 10 then it would be 100. if it was a 5 by 15 it would be 75
4 0
4 years ago
Two lines intersect and two of the vertical.angles measure 37 what is the measure of the other two vertical angles
Hoochie [10]
Lets start of with what we know.
• There are two 27 degree angles 27 + 27 = 52 is the sum of the angles.
•There are 360 degrees all around the intersection

So, we can find out the sum of the 2 angles that are unknown by subtracting.
360-52=308

So, if the sum of the unknown 2 angles are 308, we can divide by 2 to find the measure of the unknown angles.
308/2=154
4 0
3 years ago
Read 2 more answers
Work out 4 1/9 - 3 3/5
san4es73 [151]

Answer:

23/45 or0.51

Step-by-step explanation:

convert:the equation

u will hv 37/9-18/5

subtract. 37/9-18/5=23/45

23/45 or 0.51

4 0
3 years ago
Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?
Sergeu [11.5K]
Hello!

First of all we find the slope by dividing the difference of the y values by the difference of the x values as seen below.

\frac{-3-11}{1+3} = -\frac{14}{4} = \frac{7}{2}

The slope of our line is 7/2, or 3.5
-------------------------------------------------------------
Now we will put the slope and a point on our line into slope intercept form and solve for b. We will use (-3,11).

11=3.5(-3)+b
11=10.5+b
b=0.5

Our final equation is shown below.

y=3.5x+0.5

I hope this helps!


7 0
3 years ago
Read 2 more answers
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