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3 years ago

At what interest rate (to the nearest hundredth of a percent) compounded annually will money in savings double in five years?

1 answer:

5 0

For a single payment with compound interest, the equation to use is F=P(1+i)^n where F is the value after n periods, P is the present value, and i is the interest rate.

If we want the final value F to double in 5 years, F is then equal to P then n=5. The equation is now:

2P=P(1+i)^5
2=(1+i)^5
i=14.87% per year

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Can someone explain to me in words how to do this problem 3x+122=22x-11

inn [45]

When you have this type of problem, you need to combine the like-terms and isolate the variable.

3x + 122 = 22x - 11

Add 11 to both sides to get rid of it

3x + 122 + 11 = 22x - 11 + 11 (-11 + 11=0)

3x + 133 = 22x

Then you would bring the 3x to the other side, so subtract 3x from both sides

3x + 133 = 22x

-3x -3x

133 = 22x - 3x

133 = 19x

Then divide both sides by 19 to isolate x

133/19 = 19x/19

133/19 = 7, so x = 7

Hope this helps!!

8 0

2 years ago

bill can paint a closet in 2 hours. bob can paint the same closet in 3 hours. how long will it take them to paint the closet tog

katen-ka-za [31]

Bill paints 1/2 per hour. Bob paints 1/3 per hour. 1/2x+1/3x=1

6 0

2 years ago

The lengths of bolts in a batch are distributed normally with a mean of 3 cm and a standard

ValentinkaMS [17]

Answer:

0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.

Step-by-step explanation:

Normal Probability Distribution:

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

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 3 cm and a standard deviation of 0.04 cm.

This means that $\mu = 3, \sigma = 0.04$

What is the probability that a bolt has a length greater than 2.96 cm?

This is 1 subtracted by the p-value of Z when X = 2.96. So

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

$Z = \frac{2.96 - 3}{0.04}$

$Z = -1$

$Z = -1$ has a p-value of 0.1587.

1 - 0.1587 = 0.8413

0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.

3 0

2 years ago

How much money will she have if she doesn't buy any packs of baseball cards? $16 $18 $19 $20

GrogVix [38]

The amount of money that Carly would have left if she doesn't buy any packs of baseball cards is $20.

<h3>How to calculate the amount of money?</h3>

In order to calculate the amount of money that Carly would have left if she doesn't buy any packs of baseball cards, we would determine the cost of each baseball card as follows:

Let the cost of each baseball card be x.

Let the number of cards bought be n.

Translating the word problem into an algebraic expression, we have;

x - n = 16

x - 2n = 12

Solving the simultaneous equations by elimination, we have:

n = 4

Therefore, Carly's minimum balance is given by:

x - n = 16

x = 16 + n

x = 16 + 4

x = $20.

Read more on word problems here: brainly.com/question/13170908

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<u>Complete Question:</u>

The graph shows the relationship between the total amount of money that Carly will have left, y, if she buys x packs of baseball cards. How much money will she have if she doesn't buy any packs of baseball cards?

5 0

2 years ago

I dont know anything about percents and I need to know right now

Ludmilka [50]

To find a percent, you need to put the numbers into a fraction first. Since the total number of beads is there, that is the denominator (number on the bottom of the fraction). The purple bead number will go on the top. This makes the fraction 8/12. When you divide 12 by 8, you get the decimal 0.66666667. You move the decimal two places over and get ~66%. This makes your answer B. Hope this helps! :)

5 0

3 years ago

Read 2 more answers