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pishuonlain [190]
3 years ago
12

If a loan of 1,500 at 4% is paid off in 90 days what is the interest

Mathematics
1 answer:
slega [8]3 years ago
3 0

Answer:

Compound interest =$14.58

Simple Interest=$14.79

Step-by-step explanation:

Let's assume the interest rate charged on the loan was simple in nature.

-Simple interest is calculated using the formula:

I=PRT,\\\\=1500\times 0.04\times \frac{90}{365}\\\\=14.79

Hence, the simple interest on the loan was $14.79

#If the interest is compound in nature with just one compounding per year:

A=P(1+i)^n\\\\I=A-P\\\\I=1500(1.04)^{90/365}-1500\\\\=14.58

Hence, the compound interest charged on the loan is $14.58

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In all you have 54 buttons because if you add 10 plus 10 that equals 20 plus 34 and that gets 54 buttons in all
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3 years ago
At the moment a hot cake is put in a cooler, the difference between the cake's and the cooler's temperature is 50° Celsius. This
dybincka [34]

Answer:

D(t)=50(0.8)^t

Step-by-step explanation:

We are given that

Initially the difference between the cake's and the cooler's temperature ,a=50 degree Celsius

r=\frac{1}{5}/min

We have to find the function that gives the temperature difference in degrees Celsius D(t).

We know that

D(t)=a(1-r)^t

Substitute the values

D(t)=50(1-\frac{1}{5})^t=50(1-0.2)^t

D(t)=50(0.8)^t

This is required function that gives the temperature difference in degrees Celsius.

6 0
3 years ago
Read 2 more answers
What is 4z(6x+7y)?<br><br> Please help!
marshall27 [118]

Answer:

24xz + 28yz

Step-by-step explanation:

4z(6x + 7y) ← multiply each term in the parenthesis by 4z

= 24xz + 28yz

4 0
2 years ago
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Minor surgery on horses under field conditions requires a reliable short-term anesthetic producing good muscle relaxation, minim
andreev551 [17]

Answer:

p_v =P(t_{74}    

If we compare the p value and a significance level for example \alpha=0.1 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean it's not significantly less than 20 min.

Step-by-step explanation:

Data given and notation    

\bar X=18.81 represent the average lateral recumbency for the sample    

s=8.4 represent the sample standard deviation    

n=75 sample size    

\mu_o =20 represent the value that we want to test    

\alpha represent the significance level for the hypothesis test.    

t would represent the statistic (variable of interest)    

p_v represent the p value for the test (variable of interest)    

State the null and alternative hypotheses.    

We need to apply a left tailed  test.  

What are H0 and Ha for this study?    

Null hypothesis:  \mu \geq 20  

Alternative hypothesis :\mu < 20  

Compute the test statistic  

The statistic for this case is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)    

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".    

Calculate the statistic    

We can replace in formula (1) the info given like this:    

t=\frac{18.81-20}{\frac{8.4}{\sqrt{75}}}=-1.227

The degrees of freedom are given by:

df=n-1=75-1=74    

Give the appropriate conclusion for the test  

Since is a one side left tailed test the p value would be:    

p_v =P(t_{74}    

Conclusion    

If we compare the p value and a significance level for example \alpha=0.1 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean it's not significantly less than 20 min.

3 0
3 years ago
An arts academy requires there to be 4 teachers for every 84 students and 3 tutors for every 30 students. How many students does
Sonja [21]

Answer:

21 students per teacher

10 students per tutor

10 tutors needed for 110 students

Step-by-step explanation:

84 ÷4=21

30÷3=10

110÷10=10

6 0
3 years ago
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