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2 years ago

Jane takes out a loan for $100,000.00 over 10 years

Mathematics

1 answer:

Aneli [31]2 years ago

5 0

<h2>Answer:</h2>

$1799.10

<h2>Step-by-step explanation:</h2>

Each year, the amount of money in the account is increased by 8%. This is the same as multiplying by 1.08 each year.

For 10 years, you multiply the original $100,000 by 1.08 a total of 10 times.

This tends to be simplified to:

$100,000 * 1.08^{10}$

This gives $215892.4997.

This is paid back over 10 years, which is 10 x 12 months, or 120 months.

Divide the $215892.4997 by 120 to get the monthly payment of:

$1799.10 (round to 2 decimal places as it is a currency)

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3 years ago

Find the slope given the two points below:<br> (-8, — 11), (-1, 17)

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Answer:

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Answer:

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Squaring a number means multiplying the number by itself. 0*0=0. 1*1=1. 2*2=4, and 3*3=9. This is the pattern shown in the table.

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Researchers fed mice a specific amount of Dieldrin, a poisonous pesticide, and studied their nervous systems to find out why Die

Elodia [21]

Answer:

Step-by-step explanation:

Part A

Mean = (2.2 + 2.4 + 2.5 + 2.5 + 2.6 + 2.7)/6 = 2.48

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (2.2 - 2.48)^2 + (2.4 - 2.48)^2 + (2.5 - 2.48)^2 + (2.5 - 2.48)^2 + (2.6 - 2.48)^2 + (2.7 - 2.48)^2 = 0.1484

Standard deviation = √(0.1484/6

s = 0.16

Standard error = s/√n = 0.16/√6 = 0.065

Part B

Confidence interval is written as sample mean ± margin of error

Margin of error = z × s/√n

Since sample size is small and population standard deviation is unknown, z for 98% confidence level would be the t score from the student t distribution table. Degree of freedom = n - 1 = 6 - 1 = 5

Therefore, z = 3.365

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Confidence interval is 2.48 ± 0.22

Part C

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 2.3

For the alternative hypothesis,

H1: µ > 2.3

This is a right tailed test

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 6

Degrees of freedom, df = n - 1 = 6 - 1 = 5

t = (x - µ)/(s/√n)

Where

x = sample mean = 2.48

µ = population mean = 2.3

s = samples standard deviation = 0.16

t = (2.48 - 2.3)/(0.16/√6) = 2.76

We would determine the p value using the t test calculator. It becomes

p = 0.02

Assuming significance level, alpha = 0.05.

Since alpha, 0.05 > than the p value, 0.02, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the mean absolute refractory period for all mice when subjected to the same treatment increased.

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3 years ago

Can someone offer help to this ratio question

AlekseyPX

Answer:

Cherry Pink has not been made ( $25:17\neq 4:3$ )

Step-by-step explanation:

Given that she already has 60litres of Rose Pink paint, we use the ratios to determine the volumes of red/white used:

$Rose Pink=60l\\\\Red=\frac{1}{3}\times 60\\\\=20l\\\\White=\frac{2}{3}\times 60\\\\=40l$

#Add these proportions to the additional red and white paints to determine if Cherry Pink has been made:

$V_r=20l+80l\\\\=100l\\\\V_w=40l+28l\\\\=68l\\\\\therefore r:w=100l:68l \ \ \ \ \ \ \ \ \ \ \# simplify\\\\r:w=25:17$

We equate this proportion to the Cherry Pink proportion to verify if Cherry pink has been made:

$25:17\neq 4:3$

Hence, Cherry pink has not been made.

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3 years ago