Answer:
= 8n - 11
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence, that is
5 - (- 3) = 13 - 5 = 21 - 13 = 8
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3 and d = 8 , thus
= - 3 + 8(n - 1) = - 3 + 8n - 8 = 8n - 11 ← note this is the second option, that is
f(n) = - 3 + 8(n - 1)
Answer:
Expressions with fractional or negative exponents can be factored by pulling out a GCF. Look for the variable or exponent that is common to each term of the expression and pull out that variable or exponent raised to the lowest power. These expressions follow the same factoring rules as those with integer exponents.
Step-by-step explanation:
Answer: The marked price is 40% more than the original price
40% - 25% = 15% or 1450
Marked price = 140%
140 × 1450 ÷ 15 = 13533. 33
Step-by-step explanation:
Answer:
No solution
Step-by-step explanation:
Let's solve using substitution (substitute 15x+2 for y):
-15x+15x+2=1
2=1
No solution
Another method...
Since these lines have the same slope, but different y-intercepts, they are parallel. This means they will not intersect therefore there is...
No solution
The formula

, for n=1 becomes

.
Comparing

with

, we see that
P=900, and 1+r=1.185, which means that r=0.185.
r=0.185 can be written as 18.5%, as a percentage.
Answer: 18.5%