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Svet_ta [14]
3 years ago
5

Jorgen made deposits of $250 at the end of each year for 12 years. The rate received was 6% annually. What's the value of the in

vestment after 12 years?
Mathematics
2 answers:
svet-max [94.6K]3 years ago
8 0
FV = P(\frac{ (1+r)^{n}-1 }{r})

Where, FV = Value after 12 years, P= Yearly deposits = $250, r= Rate = 6% = 0.06, n=Number of years = 12 years.

Then,
FV= 250 (\frac{( 1+0.06)^{12} -1 }{0.06}) = $4,217.50
levacccp [35]3 years ago
7 0

Answer:

$430

Step-by-step explanation:

We can use the simple interest rate formula to calculate the investment value after 12 years. The formula is:

A=P*(1+r*t)

Where A is the value of the amount after investment, P is the intitial investment, r is the rate and t is the time invested.

Therefore $250 at a rate of 6% for 12 years:

A=250*(1+0.06*12)=430

The value of the investment after 12 years is $430

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3 years ago
Write the following in point-slope form using the given information: Slope: 2 points
SCORPION-xisa [38]

Answer:

y+5 = \frac{1}{15}(x - 3)}

Step-by-step explanation:

Given

m = \frac{1}{15} -- Slope

(x_1,y_1) = (3,-5) --- Point

Required

Write an equation in point slope form

The point slope form of an equation is:

y - y_1 = m(x - x_1)

Substitute values for y1, x1 and m

y-(-5) = \frac{1}{15}(x - 3)}

y+5 = \frac{1}{15}(x - 3)}

Hence, the equation in point slope form is:

y+5 = \frac{1}{15}(x - 3)}

8 0
2 years ago
Lazurus Steel Corporation produces iron rods that are supposed to be 36 inches long. The machine that makes these rods does not
Igoryamba

Answer:

Step-by-step explanation:

We would construct a confidence interval.

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Since the sample size is large and the population standard deviation is known, we would use the following formula and determine the z score from the normal distribution table.

Margin of error = z × σ/√n

Where

σ = population standard Deviation

n = number of samples

From the information given

x = 36.02 inches

σ = 0.1 inches

n = 40

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.99 = 0.01

α/2 = 0.01/2 = 0.005

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.005 = 0.995

The z score corresponding to the area on the z table is 2.58. Thus, confidence level of 99% is 2.58

Margin of error = 2.58 × 0.1/√40 = 0.041

Confidence interval = 36.02 ± 0.041

The lower end of the confidence interval is

36.02 - 0.041 = 35.979 inches

The upper end of the confidence interval is

36.02 - 0.041 = 36.061 inches

Since 36.061 > 36.05, then we would conclude that the machine needs an adjustment.

The formula used is

Confidence interval =

Sample mean ± z × σ/√n

7 0
3 years ago
A news report says that 9% of middle school students are on the track team.
Ratling [72]

Answer:

54 students.

Step-by-step explanation:

If you have 600 and 9% the nearest rounding point is %10. %10 of 600 is 60, and 1% of 60 is 6, so 60-6=54.

3 0
3 years ago
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