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AVprozaik [17]
3 years ago
7

The nth term of another sequence is n² + 7n

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
8 0

Answer:

a(10) = 170

Step-by-step explanation:

Given that,

The nth term fo the sequence is :

a(n) =  n² + 7n

We need to find the 10th term of the sequence.

Put n = 10 in the above sequence,

a(10) =  (10)² + 7(10)

= 100 + 70

= 170

So, the 10th term of the sequence is 170.

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What is 0.278 rounded to the nearest tenth?
Goshia [24]

Answer:

0.280

Step-by-step explanation:

7 0
3 years ago
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Suppose you pay back $575 on a $525 loan you had for 75 days. What was your simple annual interest rate? State your result to th
KengaRu [80]

The <em>simple annual interest</em> rate for the $ 525 loan is equal to 46.35 %.

<h3>What is the interest rate behind a pay back?</h3>

In this situation we assume that the loan does not accumulate interests continuously in time. Hence, the <em>interest</em> rate for paying the loan back 75 days later is:

575 = 525 · (1 + r/100)

50 = 525 · r /100

5000 = 525 · r

r = 9.524

The loan has an <em>interest</em> rate of 9.524 % for 75 days. <em>Simple annual interest</em> rate is determine by rule of three:

r' = 9.524 × 365/75

r' = 46.350

The <em>simple annual interest</em> rate for the $ 525 loan is equal to 46.35 %.

To learn more on interests: brainly.com/question/26457073

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7 0
2 years ago
Rick wants to buy a tool set with original price $115. Next week the tool set will be on sale for 40% off. Find the sale price.
inessss [21]

Answer:

$69

Step-by-step explanation:

$115 x 0.4 = $46 discount

$115 - 46 = $69

4 0
3 years ago
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2. A recipe calls for 2 1/3 cups of flour and 1/8 cup of baking soda "you are
Inga [223]

Answer:18.7 or 56/3 cup of flour

Step-by-step explanation:

The solution is in the attached file

5 0
2 years ago
c. Assume that the manufacturer's claim is true, what is the probability of such a tire lasting more than 60,000 miles?
KATRIN_1 [288]

Answer:

The probability of such a tire lasting more than 60,000 miles is 0.0228, for the complete question provided in explanation.

Step-by-step explanation:

<h2>Q. This is the question: </h2>

The lifetime of a certain type of car tire are normally distributed. The mean lifetime of a car tire is 50,000 miles with a standard deviation of 5,000 miles. Assume that the manufacturer's claim is true, what is the probability of such a tire lasting more than 60,000 miles?

<h2>Answer:</h2>

This is the question of normal distribution:

First w calculate the value of Z corresponding to X = 60,000 miles

We, have; Mean = μ = 50,000 miles, and Standard Deviation = σ = 5,000 miles

Now, for Z, we know that:

Z = (x-μ)/σ

Z = (60,000 - 50,000)/5,000

<u>Z = 2</u>

Now, we have standard tables, for normal distribution in terms of values of Z. One is attached in this answer.

P(X > 60,000) = P(Z > 2) = 1 - P(Z = 2)

P(X > 60,000) = 1 - 0.9772

<u>P(X > 60,000) = 0.0228</u>

4 0
3 years ago
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