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SIZIF [17.4K]
2 years ago
6

A friend tells you that her savings account doubled in 9 years. Use the Rule of 72 to estimate what the APR of her account was.

Mathematics
1 answer:
Shkiper50 [21]2 years ago
5 0

answer:The rule of 72 says that an amount will double when the product of the percentage and the number of years equals 72...so for 8 years, you would need to earn 9%

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What is the maximum number of relative extrema contained in the graph of this function f(x)=3x^3-x^2+4x-2
Sergeeva-Olga [200]
The maximum number of turning points in a cubic function is 2.

In this case,

f(x)=3x^3-x^2+4x-2\implies f'(x)=9x^2-2x+4

The discriminant is (-2)^2-4(9)(4)=-140, which means the derivative has no real roots. This means there are no critical points and thus no turning points/relative extrema.
5 0
3 years ago
Read 2 more answers
A toy manufacturer wants to know how many new toys children buy each year. A sample of 305 children was taken to study their pur
Harrizon [31]

Answer:

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.8}{2} = 0.1

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.1 = 0.9, so Z = 1.28.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.28\frac{1.5}{\sqrt{305}} = 0.1

The lower end of the interval is the sample mean subtracted by M. So it is 7.6 - 0.1 = 7.5

The upper end of the interval is the sample mean added to M. So it is 7.6 + 0.1 = 7.7

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

8 0
3 years ago
Coras kitten weighs 1,200 grams. If he weighed 550 grams at the last visit to the veterans office, what percent is the increase
Juli2301 [7.4K]
First, find the different of the two weights
d = 1,200 - 550
d = 650

The different of the weights is 650

Second, to find the percentage, we should compare the difference to the former weight. So we compare 650 to 1,200, then multiply it to 100%
percentage = 650/1,200 × 100%
percentage = (65,000/1,200) %
percentage = 51.17%
percentage = 51%

The percent of increase is 51%
8 0
2 years ago
- A number r added to 3.7 is less than 1.2.
SIZIF [17.4K]

Answer:

3.7 + r < 1.2

Step-by-step explanation:

a number r added to 3.7 is 3.7 + r

New expression 3.7 + r should be less than 1.2 --->

3.7 + r < 1.2

7 0
3 years ago
20 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Anuta_ua [19.1K]

Answer:

ok i got this just wait a sec and the reason y i do this is so ppl dont

take the answer

Step-by-step explanation:

its 5x^2

Can i gt brainly

3 0
3 years ago
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