We have to calculate the interest rate in the note, we must follow the following steps, calculate the amount of time remaining from the year 2021, as follows:

interest is for 5 months i.e. from Aug 01 to Dec 31 for year 2021 , so it means it would be 5/12 months.

We have to calculate the interest as follows:

I = P * R * T

We replace:

200 = 8000 * R * 5/12

we solve for R

200 * 12/5 = 8000 * R

R * 8000 = 480

R = 480/8000

R = 0.06

Which means that the interest rate on the note is 6%

4 0

3 years ago

Which three lengths could be the lengths of the sides of a triangle?

Talja [164]

I am assuming the answer could be C

8 0

3 years ago

Read 2 more answers

The average expenditure on Valentine's Day was expected to be $100.89 (USA Today, February 13, 2006). Do male and female consume

AfilCa [17]

Answer:

Yes. The male and female consumers differ in the amounts they spend.

Step-by-step explanation:

We can express the null and alternative hypothesis as:

$H_0: \mu_m=\mu_w\\\\H_1: \mu_m\neq\mu_w$

It is assumed a significance level of 0.05.

The standard deviation of the difference of means is calculated as:

$s=\sqrt{\frac{s_m^2}{n_m} +\frac{s_w^2}{n_w} } =\sqrt{\frac{35^2}{40} +\frac{20^2}{30} } =\sqrt{30.625+13.333} =\sqrt{43.958} =6.63$

The test statistic is

$t=\frac{(M_m-M_w)-0}{s}=\frac{135.67-68.64}{6.63}=10.11$

The degrees of freedom are:

$df=n_1+n_2-2=40+30-2=68$

The P-value for t=10.11 is P=0, so it is smaller than the significance level. The null hypothesis is rejected.

We can conclude that male and female consumers differ in the amounts they spend.

5 0

3 years ago