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IRISSAK [1]
3 years ago
14

If Sarah invests $5,000 into a fund that earns 6% interest compounded annually, how long will it take for her investment to grow

into $50,000?
About 20 years


About 40 years


About 35 years


About 4 years
Mathematics
1 answer:
yarga [219]3 years ago
6 0

Answer:

40

Step-by-step explanation:

so next year her money would be 6% more so:

5000 + (0.6 * 5000) = (1.06) * 5000

So each year she'll have : (1.06)*(last year's money)

So we can say after n years she will have :

((1.06)^n) * 5000

So:

5000((1.06)^n)=50000

n is 39.5

So around 40

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3 years ago
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You basically look at the bar graph on the right and see which statement is true. Brainliest and thank you!
PilotLPTM [1.2K]

Answer:

D, if graphed, it would show a straight line.

Step-by-step explanation:

Because the graph has a relationship (disproving A,) and has 5 cards per pack, (disproving B and C,) we can already rule out the answer choice.

Because the value is constant, (x = y(5)) it will be straight, thus giving you your answer. You can even graph the values for a clear representation.

4 0
3 years ago
Scores for a civil service exam are normally distributed with a mean of 75 and a standard deviation of 6.5. To be eligible for c
kvasek [131]

Answer:

The lowest score you can earn and still be eligible for employment is 85.6925

Step-by-step explanation:

Problems of normally distributed samples 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.

In this question, we have that:

\mu = 75, \sigma = 6.5

Top 5%.

At least the 100-5 = 95th percentile.

The 95th percentile is X when Z has a pvalue of 0.95. So X when Z = 1.645.

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

1.645 = \frac{X - 75}{6.5}

X - 75 = 1.645*6.5

X = 85.6925

The lowest score you can earn and still be eligible for employment is 85.6925

3 0
4 years ago
Read 2 more answers
What is a equivalent fraction for 28 15/8
ikadub [295]

Answer:

478/16

Step-by-step explanation:

28x8=224

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8x2=16

239x2=478

478/16

3 0
3 years ago
PLEASE I NEED HELP WITH THIS
Ber [7]

Given:

The figure of a circle.

To find:

The measure of arc AD and measure of each arc.

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The measure of arc is equal to the central angle of that arc.

The central angle of arc AD is 105 degrees. So,

m(arc(AD))=105^\circ

The central angle of arc BC is 35 degrees. So,

m(arc(BC))=35^\circ

The central angle of arc CD is 50 degrees. So,

m(arc(CD))=50^\circ

The central angle of a complete circle is 360 degrees. So,

m(arc(AD))+m(arc(BC))+m(arc(CD))+m(arc(AB))=360^\circ

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m(arc(AB))=360^\circ-190^\circ

m(arc(AB))=170^\circ

Therefore, the measure of arc AD is 105°, the measure of arc BC is 35°, the measure of arc CD is 50° and the measure of arc AB is 170°

3 0
3 years ago
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