Please help iv been stuck on these for two days!
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
number 1 and 3 are correct. On 5, I am wondering when is interest added, if it is the end of year, then you have only one years interest credited to the account.
1. To find the expression that describes the rule for the sequence, we need to determine the pattern in the numbers. Looking at the sequence, we can see that each term is obtained by adding 7 to the previous term. So, the rule can be expressed as n + 7, where n represents the position of the term in the sequence.
To find the 100th term in the sequence using the expression, substitute n = 100 into the expression:
100 + 7 = 107
So, the correct answer is A) n + 7; 707.
2. To write a rule for the function represented by the table, we need to determine the pattern between the x-values and y-values. Looking at the table, we can see that the y-values increase by 15 each time the x-values increase by 1. This indicates that the coefficient of x in the rule will be 15.
Since the initial y-value when x = 0 is 13, we can determine the constant term in the rule by subtracting 15 from the first y-value:
13 - 15 = -2
So, the rule for the function represented by the table is y = -2 + 15x.
Therefore, the correct answer is D) y = 12 + 14x.
3. To find the function rule that would help you find the values in the table, we need to determine the relationship between the given values of n and m. Looking at the table, we can see that the value of m is equal to three times the value of n. Therefore, the function rule that relates n and m is m = 3n.
So, the correct answer is not available in the given options.
4. To calculate the interest Bill will pay after 2 years, we need to use the formula for simple interest:
Simple Interest = Principal × Interest Rate × Time
Plugging in the given values, we have:
Principal = $9,000.00
Interest Rate = 8% (0.08 as a decimal)
Time = 2 years
Interest after 2 years = $9,000.00 × 0.08 × 2 = $1,440.00
Therefore, the correct answer for part A is D) $1,440.00.
To calculate the total interest Bill will pay for the loan, we can use the same formula with the given values:
Principal = $9,000.00
Interest Rate = 8% (0.08 as a decimal)
Time = 6 years
Total interest for the loan = $9,000.00 × 0.08 × 6 = $4,320.00
Therefore, the correct answer for part B is D) $1,440.00; $4,320.00.
5. To calculate the balance in Angela's account after 1.5 years with compound interest, we can use the formula:
Balance = Principal × (1 + Interest Rate)^Time
Plugging in the given values:
Principal = $2,550.00
Interest Rate = 3% (0.03 as a decimal)
Time = 1.5 years
Balance = $2,550.00 × (1 + 0.03)^1.5 = $2,664.75
Therefore, the correct answer is B) $2,664.75.