A savings account with compounded interest can be modeled by which type of graph

Answers

Answer 1

Answer:

Answer: The answer is (C) Exponential.

Step-by-step explanation: We are to select out of the given options the type of graph that a savings account with compounded interest be modelled.

We know that compounding gives more interest because we are earning interest on interest, and not just on the principal.

The formula foe compound interest is given by

$C.I.=P(1+(r)/(100))^n,$ where, 'P' is the principal, r is the rate of interest and 'n' is the number of years.

Therefore, we can see that the function is of exponential type.

If we draw the graph of compound interest earned every year with a particular rate of interest is of exponential type.

So, the correct option is (C) Exponential.

Answer 2

Answer: exponential since it it growing apon itself and the bigger it gets, the faster it grows

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Josie rode her bike 18 miles at 12 and then rode another 24 miles at 15. How long did she ride in all?

A.27 hours

B.15 hours

C.6 hours

D.3.1 hours

Answers

18/12= 1.5
24/15= 1.6
1.6+1.5=3.1
I think D is your answer

An automobile engineer is redesigning a conical chamber that was originally specified to be 12 inches long with a circular base of diameter 5.7 inches. In the new design, the chamber is scaled by a factor of 1.5.

Answers

Answer:

The volume of the original chamber is 102.02cubic inches. This is 242.47 cubic inches less than the volume of the new chamber.

Hope this helps! I got it right on the Plato/Edmentum mastery test ♡

You can figure out the new cone or get the volume of the original cone and use the fact that if two objects are proportional in their dimensions, then the volume is proportional to the cube of the ratio of any of their lengths. E.G., doubling a sphere diameter increases the volume by 2 cubed = 8.

A railroad tunnel is shaped like a semiellipseThe height of the tunnel at the center is 58 ft and the vertical clearance must be 29 ft at a point 21 ft from the center. Find an equation for the ellipse.

Answers

y²/58² + x²/b² = 1
(0,58), (-21,29), and (21,29) are points on the ellipse.

29²/58² + 21²/b² = 1
¼ + 21²/b² = 1
21²/b² = ¾
4·21²/3 = b²
b² = 588

y²/3364 + x²/588 = 1

Answer:

Step-by-step explanation:

The equation of ellipse is given as:

$(x^2)/(a^2)+(y^2)/(b^2)=1$ (1)

Now, from the given information, The ellipse passes through (0, 58), (0, -58), (21, 29), thus equation (1) becomes:

$(0)/(a^2)+((58)^2)/(b^2)=1$

⇒ $b^2=(58)^2$

⇒ $b^2=3364$

Also, $((21)^2)/(a^2)+((29)^2)/((58)^2)=1$

⇒ $((21)^2)/(a^2)=1-(841)/(3364)$

⇒ $((21)^2)/(a^2)=(3)/(4)$

⇒ $a^2=(4(441))/(3)$

⇒ $a^2=588$

Now, substituting the values of $a^2 and b^2$ in the equation (1), we have

$(x^2)/(588)+(y^2)/(3364)=1$

which is the required equation for ellipse.

Form a polynomial f(x) with real coefficients having the given degree and zeros. a) f(x) = x^3 - 5x^2 + x + 5 b) f(x) = x^3 - 5x^2 + x - 5 c) f(x) = x^3 + 5x + x - 5 d) f(x) = x + 5x^2 - x + 5

Answers

Answer:

what is math

Step-by-step explanation:

I want to teach you how to use a plane mirror to see if I want to go would have clear photo pathaununa is the best person like cmt thorai vyo

yeah a successful and non uniform and non-uniform is used for free a plane mirror a convex lens for Canon printer and non-uniform a successful and rich

True of false? the slope of thia equation is zero
y=x+5

Answers

Answer:

false

Step-by-step explanation:

no solution

I did it on a graph and I think its true?

In manufacturing processes, it is of interest to know with confidence the proportion of defective parts. Suppose that we want to be reasonably certain that less than 4% of a company's widgets are defective. To test this, we obtain a random sample of 250 widgets from a large batch. Each of the 250 widgets is tested for defects, and 6 are determined to be defective, based upon the manufacturer's standards. Using α = 0.01, is this evidence that less than 4% of the company's widgets are defective? State the hypotheses, list and check the conditions, calculate the test statistic, find the p-value, and make a conclusion in a complete sentence related to the scenario.

Answers

Answer:

Less than 4% of a company's widgets are defective.

Step-by-step explanation:

In this case we want to be reasonably certain that less than 4% of a company's widgets are defective.

The significance level of the test is, α = 0.01.

The hypothesis can be defined as follows:

H₀: At least 4% of a company's widgets are defective, i.e. p ≥ 0.04.

Hₐ: Less than 4% of a company's widgets are defective, i.e. p < 0.04.

The information provided is:

n = 250

x = 6

The sample proportion is, $\hat p=(x)/(n)=(6)/(250)=0.024$

Compute the test statistic value as follows:

$z=\frac{\hat p-p}{\sqrt{(p(1-p))/(n)}}\n\n=\frac{0.024-0.04}{\sqrt{(0.04(1-0.04))/(250)}}\n\n=-1.29$

The test statistic value is -1.29.

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

Compute the p-value as follows:

$p-value=P(Z<-1.29)=0.0985$

So,

p-value = 0.0985 > α = 0.01.

The null hypothesis will not be rejected at 1% significance level.

Thus, there is not enough evidence to support the claim.

Conclusion:

Less than 4% of a company's widgets are defective.

Final answer:

This is a hypothesis testing problem where we test the claim that less than 4% of widgets are defective. We set the null and alternative hypotheses, confirm conditions for a binomial distribution, compute the test statistic, find the p-value and then make a conclusion based on the comparison of p-value with the given significance level.

Explanation:

In this scenario, we are interested in testing the hypothesis about the proportion of defective widgets. We define our null hypothesis (H0) and the alternative hypothesis (Ha) as follows:

H0: p = 0.04 (The proportion of defective widgets is 4%)

Ha: p < 0.04 (The proportion of defective widgets is less than 4%)

The conditions for a binomial distribution are met here, as each widget is either defective or not, and each widget is tested independently. Also, the quantities np and nq (where n is the sample size and q is the probability of failure) are greater than five, so we can approximate by the normal distribution.

We calculate the test statistic using the formula: z = (p' - p) / sqrt [ (p * q) / n ]

Where, p' is the sample proportion, which is 6/250, p is the hypothesized proportion which is 0.04, q is 1 - p and n is the sample size (250). This gives us a z value. Then, we find the p-value from the standard normal distribution using this z value. If p-value < α (0.01), we reject the null hypothesis. Otherwise, we do not reject it.

At the end, you will conclude. If we reject the null, we say, 'At the 1 percent significance level, there is sufficient evidence to conclude that less than 4% of the company's widgets are defective'. If we don't reject the null, 'At the 1 percent significance level, there is insufficient evidence to conclude that less than 4% of the company's widgets are defective.'

Learn more about Hypothesis testing here:

brainly.com/question/31665727

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