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bearhunter [10]
3 years ago
6

A student borrows $12,000 at a simple interest rate of 4.5% for 5 years. How much interest is ones at the end of 5 years, and wh

at amount of money must be repaid at the end of the 5 year period
Mathematics
1 answer:
Step2247 [10]3 years ago
5 0

Answer:

12,000(1+\frac{4.5}{100}*5)=12,000(1.225)=\$14,700

Step-by-step explanation:

Simple interest is where interest is only accumulated on the principle, so at 4.5% for 5 years, 22.5% is added to the principal.

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5) In a certain supermarket, a sample of 60 customers who used a self-service checkout lane averaged 5.2 minutes of checkout tim
Ne4ueva [31]

Answer:

\S^2_p =\frac{(60-1)(3.1)^2 +(72 -1)(2.8)^2}{60 +72 -2}=8.643

S_p=2.940

t=\frac{(5.2 -6.1)-(0)}{2.940\sqrt{\frac{1}{60}+\frac{1}{72}}}=-1.751

df=60+72-2=130

p_v =P(t_{130}

Assuming a significance level of \alpha=0.05 we have that the p value is lower than this significance level so then we can conclude that the mean for checkout time is significantly less for people who use the self-service lane

Step-by-step explanation:

Data given

Our notation on this case :

n_1 =60 represent the sample size for people who used a self service

n_2 =72 represent the sample size for people who used a cashier

\bar X_1 =5.2 represent the sample mean for people who used a self service

\bar X_2 =6.1 represent the sample mean people who used a cashier

s_1=3.1 represent the sample standard deviation for people who used a self service

s_2=2.8 represent the sample standard deviation for people who used a cashier

Assumptions

When we have two independent samples from two normal distributions with equal variances we are assuming that  

\sigma^2_1 =\sigma^2_2 =\sigma^2

The statistic is given by:

t=\frac{(\bar X_1 -\bar X_2)-(\mu_{1}-\mu_2)}{S_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}}

And t follows a t distribution with n_1+n_2 -2 degrees of freedom and the pooled variance S^2_p is given by this formula:

\S^2_p =\frac{(n_1-1)S^2_1 +(n_2 -1)S^2_2}{n_1 +n_2 -2}

System of hypothesis

Null hypothesis: \mu_1 \geq \mu_2

Alternative hypothesis: \mu_1 < \mu_2

This system is equivalent to:

Null hypothesis: \mu_1 - \mu_2 \geq 0

Alternative hypothesis: \mu_1 -\mu_2 < 0

We can find the pooled variance:

\S^2_p =\frac{(60-1)(3.1)^2 +(72 -1)(2.8)^2}{60 +72 -2}=8.643

And the deviation would be just the square root of the variance:

S_p=2.940

The statistic is given by:

t=\frac{(5.2 -6.1)-(0)}{2.940\sqrt{\frac{1}{60}+\frac{1}{72}}}=-1.751

The degrees of freedom are given by:

df=60+72-2=130

And now we can calculate the p value with:

p_v =P(t_{130}

Assuming a significance level of \alpha=0.05 we have that the p value is lower than this significance level so then we can conclude that the mean for checkout time is significantly less for people who use the self-service lane

5 0
3 years ago
Solve the following system of equations using a method of your choice.
dusya [7]

Answer:

Step-by-step explanation:

cant remember what this method is called but

change the second equation to be y = something

x + y = 10

y = -x + 10

plug in this y= in the first equation to get x

4x -2(-x + 10) = 4

4x + 2x -20 = 4

6x = 24

x = 4

then plug in the x we found into the original second equation

4 + y = 10

y = 6

so your ordered pair would be (4,6)

hope this helps <3

8 0
3 years ago
tim drives at an average speed of 80km per hour for 3 hours 35 minutes work out how many kilometres tim drives
Virty [35]

Answer:

286 2/3 km

Step-by-step explanation:

Recalling that 1 hour = 60 minutes, we convert '3 hours 35 minutes' to

3 + (35/60) hours, or 3 35/60 hours, or 3.5833 hours.

Since distance = (rate)(time),

the distance driven by tim is (80 km/hr)(3.5833 hrs) = 286 2/3 km

8 0
3 years ago
The average height of middle school students at Seton Grove School is found to be 5.25 feet. Which sample makes this generalizat
Reika [66]

Answer:

C

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
Which values of a, b, and c represent the answer in simplest form?
Flura [38]

Answer:

answer is c hope this helps can i have branliest

5 0
3 years ago
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