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Nastasia [14]
3 years ago
7

Claire is going to invest $2,600 and leave it in an account for 18 years. Assuming the interest is compounded continuously, what

interest rate, to the nearest hundredth of a percent, would be required in order for Claire to end up with $4,300?
Mathematics
2 answers:
Bogdan [553]3 years ago
8 0

Answer:

Rate of interest r = 2.83 % (Approx.)

Step-by-step explanation:

Given:

Amount invested p = $2,600

Amount get A = $4,300

Number of year n = 18

Find:

Rate of interest r

Computation:

A = p(1+r)ⁿ

4,300 = 2,600(1+r)¹⁸

(1+r)¹⁸ = 1.653846

Rate of interest r = 2.83 % (Approx.)

Contact [7]3 years ago
3 0

Answer: 2.80%

Step-by-step explanation:

Delta Math

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Step-by-step explanation:

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A random sample of 850 births included 434 boys. Use a 0.10 significance level to test the claim that 51.5​% of newborn babies a
Molodets [167]

Answer:

A

Null hypothesis: H0: p = 0.515

Alternative hypothesis: Ha ≠ 0.515

z = -0.257

P value = P(Z<-0.257) = 0.797

Decision; we fail to reject the null hypothesis. That is, the results support the belief that 51.5​% of newborn babies are​ boys

Rule

If;

P-value > significance level --- accept Null hypothesis

P-value < significance level --- reject Null hypothesis

Z score > Z(at 90% confidence interval) ---- reject Null hypothesis

Z score < Z(at 90% confidence interval) ------ accept Null hypothesis

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

For the case above;

Null hypothesis: H0: p = 0.515

Alternative hypothesis: Ha ≠ 0.515

Given;

n=850 represent the random sample taken

Test statistic z score can be calculated with the formula below;

z = (p^−po)/√{po(1−po)/n}

Where,

z= Test statistics

n = Sample size = 850

po = Null hypothesized value = 0.515

p^ = Observed proportion = 434/850 = 0.5106

Substituting the values we have

z = (0.5106-0.515)/√(0.515(1-0.515)/850)

z = −0.256677

z = −0.257

To determine the p value (test statistic) at 0.10 significance level, using a two tailed hypothesis.

P value = P(Z<-0.257) = 0.797

Since z at 0.10 significance level is between -1.645 and +1.645 and the z score for the test (z = -0.257) which falls with the region bounded by Z at 0.10 significance level. And also the one-tailed hypothesis P-value is 0.797 which is greater than 0.10. Then we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say that at 10% significance level the null hypothesis is valid.

5 0
3 years ago
Your bedroom ceiling if 10 feet high and is two-thirds as high as the living room ceiling. Write and solve an equation to find t
timurjin [86]
Ht of ceiling = 10 ft which is two-thirds of living rm ceiling
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2/3h = 10 ft
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h = 30/2
h = 15 ft
5 0
3 years ago
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