A person invested $370 in an account growing at a rate allowing the money to double every 11 years. How long, to the nearest tenth of a year would it take for the value of the account to reach $720

Answers

Answer 1

Answer:

10.6

Step-by-step explanation:

y=a(2)^t/d

Plug in

720=370(2)^t/11

Divide both sides by 370

1.945945946 = (2)^t/11

Log both

Log(1.945945946) / Log(2)

0.9604716359 = t/11

0.9604716359 x 11 = t

10.56518799 to the nearest tenth is 10.6 = t

Answer 2

It would take 10.6 years for the value of the account to reach $720.

What is an exponential function?

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

A person put $370 into an account that grew at a rate that allowed the money to double every 11 years.

As per the question, we can write an exponential function as:

[tex]y=a(2)^{t/d}[/tex]

Substitute the values of y = 720, a = 370 and d = 11 in the above equation:

[tex]720=370(2)^{t/11}[/tex]

Divide both sides by 370

[tex]1.945945946 = (2)^{t/11}[/tex]

Take logarithms on both sides of the equation,

log(1.945945946) / log(2)

0.9604716359 = t/11

0.9604716359 x 11 = t

t = 10.56518799

Rounded to the nearest tenth

t = 10.6

Thus, the required time would be 10.6 years.

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Step-by-step explanation:

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Step-by-step explanation:

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A cook needs 12 pounds of flour. He wants to spend the least amount of money. If a 2-pound bag costs $1.59 and a 5-pound bag costs $2.89, how many bags of each type of flour should he buy? What will be the total cost?

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He should get 2 5-pound bags and 1 2-pound bag, it will cost him in total 7.37 dollars

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Answers

Answer:

I don't know what you mean by "explain in words", but I'm assuming you were referring to point b.

Step-by-step explanation:

You have to see that the rate of change, the "speed" at which her elevation decreases is 0.25 feet/s, such that in 8 seconds she went down by 2 feet.

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Find the coordinates of the midpoint of each segment with the given endpoints.
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Answers

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Answer:

This would be (5.5,0)

Step-by-step explanation:

Hope it helped!

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Answers

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it's compliment is 55 degrees  (55+35 = 90 degrees)

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Step-by-step explanation:

A complex shape with measurements 6 inches, 5 inches, 4 inches, 3 inches, 4 inches, 2 inches, 6 inches, 10 inches.
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Answers

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Step-by-step explanation:

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Answers

Answer:

6x2 =12

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your answer will be C because we have to add 32 to a random number d which is 32+d :)

Answer:

c

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

b

Step-by-step explanation:

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Answer:it can very

Step-by-step explanation:

It depends on which definition of 'whole numbers' you use.

Some definitions say the whole numbers are the set of positive integers including zero; or the set of all non-negative integers. In this case, the answer would be 'false', since the set of integers includes negatives.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

-8=8

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Answers

Answer:

y=2(4^x)

Step-by-step explanation:

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Step-by-step explanation:

Help does someone know the answer? I NEED IT NOW PLEASE

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Answers

Answer:

[tex]y = 3[/tex] or [tex]y =-3[/tex]

Step-by-step explanation:

Given

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Answers

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What number must you add to complete the square?
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Answers

What number must you add to x² + 16x = 3 to complete the square 64: Option C

What is a perfect square?

You should be aware that a perfect square is a term that has two common factors

The given equation is x² + 16x = 3

To make the equation a perfect square, Add the square of half of the coefficient of s to both sides

This is to say that (16/2)² = 8² = 64

The equation becomes x²+16x+64 = 3+64

Then you can factorize the equation and simplify the right hand side

Learn more about perfect squares on https://brainly.com/question/385286

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Help ASAP pls I will give 10 points

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Answer:

it is thr 3rd answer hope it help you

he dot plot shows a random sample of the number of fish caught and released by 30 participants during a two-day fishing derby.

Alternative text

Use each data set to make an inference about the number of fish caught each day.
A.


On average, most participants caught and released 5 or more fish.
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More participants caught 6 fish than any other number.
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The same participants who caught and released 1 fish the first day caught and released 1 fish the second day.
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On average, participants caught and released more fish on Day 2.

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Answer:

B

Step-by-step explanation:

More participants caught 6 fish than any other number.

We have given that,

The dot plot shows a random sample of the number of fish caught and released by 30 participants during a two-day fishing derby.

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Answers

Answer:

Yes

Step-by-step explanation:

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Answer:

gbrggbtgrrbfrhrhhhhhthrghrjwhrhr

Step-by-step explanation:

g

g

g

g

gg

g

rwribfebrgvebisbvfdfjndfinfvijnijnvdiniwdiengueinrugbvhbigb

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5. X is a normally distributed random variable with a mean of 8 and a standard deviation of 4. This can be written as N(8,4). The probability that X is between 1.48 and 15.56 is _____________. Write out the probability notation for this question.

Answers

Answer:

The probability that X is between 1.48 and 15.56 is [tex]P(1.48 \leq X \leq 15.56) = 0.919[/tex]

Step-by-step explanation:

Normal Probability Distribution:

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

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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.

X is a normally distributed random variable with a mean of 8 and a standard deviation of 4.

This means that [tex]\mu = 8, \sigma = 4[/tex]

The probability that X is between 1.48 and 15.56

This is the pvalue of Z when X = 15.56 subtracted by the pvalue of Z when X = 1.48. So

X = 15.56

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{15.56 - 8}{4}[/tex]

[tex]Z = 1.89[/tex]

[tex]Z = 1.89[/tex] has a pvalue of 0.9706

X = 1.48

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1.48 - 8}{4}[/tex]

[tex]Z = -1.63[/tex]

[tex]Z = -1.63[/tex] has a pvalue of 0.0516

0.9706 - 0.0516 = 0.919

Write out the probability notation for this question.

[tex]P(1.48 \leq X \leq 15.56) = 0.919[/tex]

The probability that X is between 1.48 and 15.56 is [tex]P(1.48 \leq X \leq 15.56) = 0.919[/tex]

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