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4 years ago

6

Sandy is organizing her bedroom she found 6 jar filled with pennies if each gar has 4,560 pennies how many pennies does sandy ha

ve in all?

1 answer:

kogti [31]4 years ago

3 0

If each jar is full of 4,560 pennies, then the answer is 27,360 pennies in all.

4560*6=27360

Hope this helps.

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$500 is invested at 6%annual interest, compounded quarterly. When will the balance double?

Setler [38]

Answer: 48 quarters or 12 years

Step-by-step explanation:

You can use the Rule of 72 to estimate the amount of time it will take for an investment to double.

It works by dividing 72 by the interest rate per period.

The rate here is 6% but this is an annual rate yet the interest is to be compounded quarterly. You need to convert this annual rate to a quarterly rate:

= 6% / 4

= 1.5% per quarter

The amount of time it will take to double is:

= 72 / 1.5

= 48 quarters

In years that would be:

= 48 / 4

= 12 years

6 0

3 years ago

I'm having a hard time with this question so someone help please

bulgar [2K]

Answer:

7.7 km

Step-by-step explanation:

This question is asking you to find the third side of a triangle in which two sides and an angle not between them are given. The law of sines provides the necessary relationships.

<h3>Law of Sines</h3>

The Law of Sines tells you that triangle side lengths are proportional to the sine of the opposite angle. For this triangle TPJ, the relation is ...

t/sin(T) = p/sin(P) = j/sin(J)

We are given T=68°, p=5.2 km, t=7.5 km, and we are asked to find the length of j, the TP distance.

<h3>Setup</h3>

We know the sum of angles in a triangle is 180°, and the sine of an angle is equal to the sine of its supplement. This lets us fill in the Law of Sines equation like this:

7.5/sin(68°) = 5.2/sin(P) = j/sin(68°+P) . . . . . solve for j

<h3>Solution</h3>

This can be solved in two steps. First, we find angle P, then we use that to find length j.

sin(P) = 5.2/7.5 × sin(68°) ≈ 0.642847

P = arcsin(0.642847) ≈ 40.0045°

Now, we can find j:

j = 7.5 × sin(68° +40.0045°)/sin(68°) ≈ 7.693 . . . km

The distance from the tower to the plane is about 7.7 km.

__

<em>Additional comment</em>

We have used T, P, and J to refer to the vertices at the tower, plane, and jet.

The triangle can also be solved using the Law of Cosines. In that case, the missing side will be the solution to a quadratic equation with irrational coefficients.

3 0

2 years ago

Gun ownership Concerned about recent incidence of gun violence, a public interest group conducts a poll of 850 randomly selected

denis23 [38]

Answer:

a.

The 95% confidence interval for the proportion of all American adults who have a gun in their home is (0.4066, 0.4734). This means that we are 95% sure that the true population proportions of American adults who have a gun in their home is between these two values.

b.

The confidence level is the probability of the confidence interval containing the population proportion.

Step-by-step explanation:

Question a:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

Poll of 850 randomly selected American adults and finds that 44% of those surveyed have a gun in their home.

This means that $n = 850, \pi = 0.44$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.44 - 1.96\sqrt{\frac{0.44*0.56}{850}} = 0.4066$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.44 + 1.96\sqrt{\frac{0.44*0.56}{850}} = 0.4734$

The 95% confidence interval for the proportion of all American adults who have a gun in their home is (0.4066, 0.4734). This means that we are 95% sure that the true population proportions of American adults who have a gun in their home is between these two values.

b. Explain what is meant by 95% confidence in this context.

The confidence level is the probability of the confidence interval containing the population proportion.

5 0

3 years ago

Leah bought two pounds of strawberries for $9.60. What is the price, in dollars per ounce of strawberries?

laiz [17]

Answer:

i dunno man like 20x2853-3835734= close to 1 ish maybe

Step-by-step explanation:

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gIB BRAIN SMARTER

4 0

3 years ago

If y varies inversely as x, find the constant of variation if y = 100 when x = 0.2.

sattari [20]

Inverse variation is of the form yx=k, we are given the point (0.2, 100) so we can solve for k, the constant of variation...

0.2(100)=k

20=k

6 0

4 years ago