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3 years ago

Tell whether the sequence is arithmetic. If it is, what is the common difference? 8, 12, 17, 23, . . .

Mathematics

2 answers:

kykrilka [37]3 years ago

6 0

Answer:

This is not arithmetic series.

Step-by-step explanation:

8, 12, 17, 23, . . .

The common difference is calculated by subtracting the first number of the series from the second, the second number from the third, the third number from the fourth and so on.

So, $12-8=4$

$17-12=5$

$23-17=6$

We can see that the series is not arithmetic as each number does not differ from the preceding one by a constant quantity. The difference is different each time.

Yakvenalex [24]3 years ago

3 0

No the sequence common difference changes from 4 to 5 to 6.

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Coffee table is 20% odd the original price of $115. If there is 7.5% sales tax, what is the final price of the coffee table?

netineya [11]

100%-20%= 80%=0.8

115(0.8)= 92

92(1.075)= 98.9

The final price of the coffee table is $98.90.

Hope this helps!

3 0

3 years ago

Suppose that P(A|B)=0.2, P(A|B')=0.3, and P(B)=0.7. What is the P(A)? Round your answer to two decimal places (e.g. 98.76).

nata0808 [166]

Answer: $P(A) = 0.23$

Step-by-step explanation:

Given :

$P(A/B) = 0.2$

$P(A/B^{1})=0.3$

$P(B)= 0.7$

$P(A) = ?$

From rules of probability :

$P(A) = P(AnB) + P(A n B^{1})$ ........................... equation *

$P(A n B)$ can be written as $P(A/B)$ x $P(B)$

Also , $P(A/B^{1})$ can be written as $P(A/B^{1})$ x $P(B^{1})$

substituting into equation * , we have

$P(A) = P(A/B)$ $P(B) + P(A/B^{1})P(B^{1})$

since P(B) = 0.7, then $P(B^{1}) = 1 - P(B) = 0.3$

so , substituting each values , we have

$P(A) = (0.2)(0.7) + (0.3)(0.3)$

$P(A) = 0.14 + 0.09$

$P(A) = 0.23$

4 0

4 years ago

3x + 4y = 12<br> 2x-2y = 10

Neko [114]

3x+4y=12
4x-4y=20
7x=32
x=32/7
2y=64/7 - 10

3 0

3 years ago

You borrow $900 to buy a laptop. You plan to pay off the loan after 5 years of equal monthly payments. After 10 payments, you ha

matrenka [14]

Answer: The simple annual interest rate on my loan is 12%

Step-by-step explanation:

I planned to pay off the loan after 5 years of equal payments; There are 12 months that make up one year and the total number of months in five years = 12 × 5 = 60 months. This means that I planned to pay off the loan after 60 equal monthly payments.

If I have also made 10 of such monthly payments already and I have $1,200 left, it means that I now have 50 more months to clear the $1,200 that is left.

If I have $1,200 left to pay in 50 months, then my average payment per month is =

$1,200/50 = $24

Since I pay $24 monthly which includes part of the principal and the interest, then my total payment over the five years (60 months) will be = 24 × 60 = $1,440 (Principal+interest).

If the principal borrowed was $900, then the interest charged on the money over the 5 years = $1,440 - $900 = $540

With the interest known, we will now use the simple interest formula to find the simple annual interest rate on the loan.

Simple interest = (Principal×Rate×Time)/100

Where, S.I = $540

P = $900

T = 5years

R = ?%

540 = (900 × R × 5)/100

45R = 540

R = 540/45

R = 12%

Therefore, the simple annual interest rate on my loan is 12%

5 0

4 years ago

Reporting Stockholders' Equity

DaniilM [7]

The total stockholders equity based on the information given will be $8285000.

<h3>How to compute the equity?</h3>

The stockholders equity will be calculated thus:

Common stock $4480000

Excess over par = $1152000

Paid in capital = $5632000

Sale of treasury = $224,000

Total paid in capital = $5856000

Retained earnings = $2,554,000

Total = $8,410,000

Less treasury stock = 125,000

Total stockholders equity = $8,410,000 - $125000

= $8285000

Therefore, the total stockholders equity based on the information given will be $8285000.

Learn more about equity on:

brainly.com/question/16337048

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3 0

2 years ago