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Inessa05 [86]
3 years ago
7

some investments in the stock market have earned 10% annually, A, at this rate can be found using A=P(1.10)^n, where P is the in

itial value of the investment, and n is the number of years the money is invested. if $1,000 is invested in the stock market at this annual rate of return, what is the expected total value after 18 years? A) $4,054.47 B) $5,559.92 C) $18,700.00 D) $19,800.00
Mathematics
1 answer:
FromTheMoon [43]3 years ago
7 0
A=1000(1.1)^18
A=5559.92 ............
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What does congruent mean
AysviL [449]

Answer:

If two figures have the same size and shape, then they are congruent. so if they have the same shape and size even if they are flipped or mirrored they are congruent.

Step-by-step explanation:

The term congruent is often used to describe figures like this, the pictire below. if you look up congruent shapes and look at many examples that will definitely help you understand alot more better what congruent means.

5 0
3 years ago
PLEASE HELP ASAP!!!!!!
Rainbow [258]

Answer:

  6/5 units³

Step-by-step explanation:

The volume of the prism is given by the formula

  V = Bh

where B is the area of the "base" and h is the height perpendicular to that base. Filling in the given numbers, you have ...

  V = (9/5)·(2/3) = 18/15 = 6/5 . . . . units³

7 0
3 years ago
What is the arc length if Θ = 2 pi over 7 and the radius is 3 cm? A. 7 pi over 12
hodyreva [135]

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

\theta=\frac{2\pi}{7} \\\\r=3\ cm

An arc is a part of total circumference of circle and length of that arc is the measurement of linear distance.

Since we know the formula for "Length of an arc " , we get

L=r\times \theta\\\\L=\frac{2\pi}{7}\times 3\\\\L=\frac{6\pi}{7}

Hence, Option 'C' is correct.


6 0
3 years ago
Read 2 more answers
The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 330 grams and a standard deviati
just olya [345]

Answer:

Weights of at least 340.1 are in the highest 20%.

Step-by-step explanation:

Problems of normally distributed samples are 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.

In this problem, we have that:

\mu = 330, \sigma = 12

a. Highest 20 percent

At least X

100-20 = 80

So X is the 80th percentile, which is X when Z has a pvalue of 0.8. So X when Z = 0.842.

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

0.842 = \frac{X - 330}{12}

X - 330 = 12*0.842

X = 340.1

Weights of at least 340.1 are in the highest 20%.

3 0
3 years ago
Marlene rides her bicycle to her friend​ jon's house and returns home by the same route. marlene rides her bike at constant spee
riadik2000 [5.3K]

To solve the problem:

<span>Let f = distance one way distance on level ground</span>

<span>
Let h = distance rode on the hill</span>

<span>
Write a time equation; where Time = distance/speed:</span>

<span>

level time + uphill time + downhill time + level time = 1hr</span>

<span>
</span>

<span>f/9 + h/6 + h/18 + f/9 = 1 hr</span>

<span>

Multiply equation by 18 to get rid of the denominators</span>

<span>
</span>

 

2f + 3h + h + 2f = 18


4f + 4h = 18


Simplify by dividing this by 4


<span>f + h = 4.5 miles is took her to get to Jon’s house.</span>

6 0
3 years ago
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