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sergeinik [125]
2 years ago
9

Price of article = $315.50

Mathematics
1 answer:
Nikolay [14]2 years ago
3 0

The true annual interest rate to the nearest tenth is <u>16.7%</u>.

<h3>How is interest determined?</h3>

The interest amount for this scenario can be determined by computing the total mortgage payment and subtracting the mortgage amount from the earlier figure.

Since payment was made for 20 months, the interest rate can be annualized using 24 months as below.

<h3>Data and Calculations:</h3>

Price of article = $315.50

Down payment = $31.55

Mortgage amount = $283.95

Monthly payment amount = $16.50

Duration of payments = 20 months

Total payment (mortgage and interest) = $330 (20 x $16.50)

Interest = $46.05 ($330 - $283.95)

Annualized interest rate = 16.7% ($46.05/$330 x 24/20)

Thus, the true annual interest rate to the nearest tenth is <u>16.7%</u>.

Learn more about compound interests at brainly.com/question/19950566

#SPJ1

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If the ratio of boys to girls in the sixth-grade chorus is 2 to 3, which choice shows possible numbers of the boys and girls in
loris [4]

Answer:

4 to 6

Step-by-step explanation:

8 0
3 years ago
A sample of 10 adult elephants had an average weight of 12,556 pounds. The standard deviation
kirill [66]

Answer:

The 99% confidence interval of the population mean for the weights of adult elephants is between 12,475 pounds and 12,637 pounds.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 3.25

The margin of error is:

M = T*s = 3.25*25 = 81

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 12,556 - 81 = 12,475 pounds

The upper end of the interval is the sample mean added to M. So it is 12,556 + 81 = 12,637 pounds.

The 99% confidence interval of the population mean for the weights of adult elephants is between 12,475 pounds and 12,637 pounds.

6 0
3 years ago
82. A company spends x hundred dollars on an advertising
crimeas [40]

The company spends $649 on advertising

The sales function after advertising is given as:

S(x) = 5 + 7\ln(x + 1)

When the total sales is $19,100, we have S(x) = 19100

So, the sales function becomes

5 + 7\ln(x + 1) = 19.1

Subtract 5 from both sides

7\ln(x + 1) = 14.1

Divide both sides by 7

\ln(x + 1) = 2.014

Take exponents of both sides

x + 1 = e^{2.014

x + 1 = 7.49

Subtract 1 from both sides

x= 6.49

Hence, the company spends $649 on advertising

Read more about functions at:

brainly.com/question/12940982

5 0
3 years ago
On a particular airline, bags checked in must weigh less than 50 pounds. Betty packed 32 pounds of clothes and five gifts that w
andreev551 [17]

Answer:

5x + 32 < 50

Step-by-step explanation:

On a particular airline, bags checked in must weigh less than 50 pounds. Betty packed 32 pounds of clothes and five gifts that weigh the same amount.

If each gift weighs w pounds, then the weight of five gifts will be 5w pounds and an additional 32 pounds of clothes will make it total (32 + 5w) pounds.  

Now, this total weight has to be less than 50 pounds.

Therefore, the inequality equation that can be used to find the possible weight of each gift, w is  

5x + 32 < 50 (Answer)

3 0
3 years ago
What are equivalent fraction to 33/48 with the numeration as 11
Vera_Pavlovna [14]

Answer:

11/16

Step-by-step explanation:

The first thing I would do is see 11 times what will get me 33

The answer is 3

Next I would ask myself 48 divided by 3 is what

The answer is 16

To double check my work I would do 3 x 11 = 33

                                                              3 x 16 = 48

5 0
3 years ago
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