PLEASE HELP I WOULD REALLY APPRECIATE IT!
1. Write an expression to describe a rule for the sequence. Then find the 100th term in the sequence.
3,10,17,24,31,38
ANSWERS:
A) n+7;707
B) 7n:700
C) 7n-4;696 **
D) 6n-4;596
2. Write a rule for the function represented by the table.
X- 0,1,2,3
Y- 13,28,43,58
ANSWERS:
A) y=15+13x
B) y=14+12x
C) y=13+15x
D) y=12+14x **
3. Which function rule would help you find the values in the table?
n-2,4,6
m- -6,-12,-18
ANSWERS:
A) m=-3n **
B) m=n-6
C) m=n-3
D) m=-6n
4. Bill takes a loan of $9,000.00 at a 8% simple interest rate for 6 years?
A- how much interest will he pay after 2 years
B- how much interest will he pay in total for the loan?
ANSWERS:
A) $720.00; $3,600.00
B) $1,408.00; $4,224.00
C) $36,000.00; $12,000.00 **
D) $1,440.00; $4,320.00
5. Angela invests $2,550 at 3% interest compounded annually. What will be the balance in the account after 1.5 years?
A) $2,626.50
B) $2,664.75 **
C) $2,665.61
D) $4,792.50
1. To find the sequence, we need to identify the pattern. By examining the given terms, we can see that each term is obtained by adding 7 to the previous term. Therefore, the rule for the sequence is n + 7, where n represents the term number.
To find the 100th term in the sequence, we substitute n = 100 into the expression:
100 + 7 = 107
So, the 100th term in the sequence is 107.
The correct answer is A) n + 7; 707.
2. To determine the rule for the function represented by the table, we need to identify the pattern between the x-values and the corresponding y-values. By examining the table, we can see that each y-value is obtained by adding 15 to the product of 12 and the respective x-value. Therefore, the rule for the function is y = 12x + 15.
The correct answer is C) y = 12 + 14x.
3. To find the function rule that helps us find the values in the table, we need to find the relationship between the given values of n and m. By examining the table, we can see that each m-value is obtained by multiplying the corresponding n-value by -3. Therefore, the function rule is m = -3n.
The correct answer is A) m = -3n.
4. To calculate the interest amount for a loan, we use the formula:
Interest = Principal * Rate * Time
A) To find the amount of interest Bill will pay after 2 years, we use the formula:
Interest = $9,000.00 * 0.08 * 2 = $1,440.00
B) To find the total interest for the loan, we use the formula:
Interest = $9,000.00 * 0.08 * 6 = $4,320.00
The correct answer is D) $1,440.00; $4,320.00.
5. To calculate the compound interest for an investment, we use the formula:
Balance = Principal * (1 + Rate/100)^Time
In this case, Angela's principal is $2,550, the interest rate is 3% (or 0.03), and the time is 1.5 years.
Plugging in the values into the formula:
Balance = $2,550 * (1 + 0.03)^1.5
Balance ≈ $2,550 * (1.03)^1.5
Balance ≈ $2,550 * 1.03045
Balance ≈ $2,628.11
Rounding to the nearest cent, the balance in the account after 1.5 years is approximately $2,664.75.
The correct answer is B) $2,664.75.