Work the following interest problem.Loan Amount: $13,000
Method of payment: discount basis
Amount of Interest: $625
Term of loan: 1 year

Answers

Answer 1

Answer: Loan Amount: $13,000
Method of payment: discount basis
Amount of Interest: $625
Term of loan: 1 year
Solution:
=> 13 000 + 625 (interest) = 13 625 dollars.
=> 13 625 dollars / 12 months = 1135.42 dollars monthly

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Evaluate the summation of 25 times 0.3 to the n plus 1 power, from n equals 2 to 10..

Answers

Answer:

$\sum_(2)^(10)25(0.3)^(n+1)=0.9642375$

Step-by-step explanation:

We have to evaluate the expression:

$\sum_(2)^(10)25(0.3)^(n+1)$

i.e. it could also be written as:

$25\sum_(2)^(10)(0.3)^(n+1)$

i.e. we need to evaluate:

$25[(0.3)^3+(0.3)^4+(0.3)^5+(0.3)^6+(0.3)^7+(0.3)^8+(0.3)^9+(0.3)^(10)+(0.3)^(11)]$

Hence, this could be written as:

$=25* (0.3)^3[1+0.3^1+0.3^2+0.3^3+0.3^4+0.3^5+0.3^6+0.3^7+0.3^8]$

Now, the series inside the parenthesis is a geometric series with first term as 1 and common ration as 0.3.

Hence, we could apply the summation of finite geometric series and get the answer.

We know that the sum of geometric series with n terms and common ratio less than 1 is calculated as:

$S_n=a* ((1-r^n)/(1-r))$

Here a=1 and r=0.3

Hence the sum of geometric series is:

$S_9=1* ((1-0.3^9)/(1-0.3))\n\nS_9=1.4285$

Hence, the final evaluation is:

$=25* (0.3)^3* 1.4285\n\n=0.9642375$

Hence,

$\sum_(2)^(10)25(0.3)^(n+1)=0.9642375$

We are asked to evaluate the summation of 25 times 0.3 to the n plus 1 power, from n equals 2 to 10. In this case, we use a calculator with summation powers so as to accurately get the answer. Using a calculator, the asnwer is equal to 0.9643.

F(x)=x2+2x+3 What is the average rate of change of f(x) over the interval [-4,6]

Answers

$Average Rate ofChange = (F(6)-F(-4))/((6-(-4))$
$F(6) = 6^2+2(6)+3 = 36+12+3=51$
$F(-4) = (-4)^2+2(-4)+3 = 16-8+3=11$
Average Rate of Change = (51-11)/(6-(-4) = 40/10 = 4

Answer:

Step-by-step explanation:

At a local pizza parlor, the large pies have a diameter of 16 inches. each large pie can be cut into either 8 slices or 12 slices based on customers preference. how much larger is the area of a slice of pizza from the 8 piece pie then the area of a slice of pizza from the 12 piece pie round your answer to the nearest tenth of a square inch (please explain how you got the answer)