Answer:
5
Step-by-step explanation:
Apply Pythagorean theorem
Answer:
The first one and the third one
Step-by-step explanation:
A linear is not a curved line
Answer:
The expression that represents the given sequence is 5+6(n-1). Option C (not labeled).
Explanation:
<u>Arithmetic Sequences</u>
In an arithmetic sequence, each term can be obtained by adding or subtracting a fixed number to the previous term. That fixed number is called the common difference.
We are given the following sequence:
5, 11, 17, 23, 29, ...
Each term is located in a position starting from n=1. Let's test each option:
A For n=1 we should have the first term (5). Substituting n=1 into the general equation: 5+6(n+1) = 5+6(1+1) = 5+12 = 17. Since the resulting term is not 5, this option is incorrect.
B For n=1, 6+5(n+1)= 6+5(2)=16. This option is incorrect.
C (not labeled) For n=1, 5+6(n-1)=5+6(1-1)=5+0=5. The first term is correct. Let's test for the second term (n=2):
5+6(2-1)=5+6=11. Correct. For n=3
5+6(3-1)=5+12=17. Correct.
We can see the terms are increasing by 6, and the given sequence is also increasing by 6. Thus, This option is correct.
D For n=1, 6+5 (n-1)=6+0=6. This option is incorrect.
Answer:
x ≤ 0.80
Step-by-step explanation:
at least = ≤
x = each week
500x + 800 ≤ 1200
-800 -800
500x = 400
500x/500 = 400/500
x = 0.80
Answer:
time period (t) is 2.25 years
Step-by-step explanation:
Given data in question
amount (a) = $94000
principal (p) = $78870
rate (r) = 7.8 % = 0.078
to find out
time period (t)
solution
we know that continuous compound interest formula i.e.
amount = principal 
...............1
we will put all value a, p and r in equation 1
amount = principal
94000 = 78870 
= 94000 / 78870
now we take ln both side
ln ln (94000 / 78870)
0.078 t = ln 1.19183466
0.078 t = 0.175494
t = 0.175494 /0.078
t = 2.249923
so time period (t) is 2.25 years
