Answer:
S₁₅ = 645
Step-by-step explanation:
The sum to n terms of an arithmetic sequence is
= 
[ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Using the nth term formula 
= 5n + 3 , then
a₁ = 5(1) + 3 = 5 + 3 = 8
a₂ = 5(2) + 3 = 10 + 3 = 13 , then
d = a₂ - a₁ = 13 - 8 = 5
Thus
S₁₅ = 
[ (2 × 8) + (14 × 5) ]
= 7.5( 16 + 70)
= 7.5 × 86
= 645
Answer:
£1837.5
Step-by-step explanation:
Given data
Cost of car P= £2100.
Rate r= 2.2%
Time t= 6 years
Now we want to find the worth after 6 years, let us apply the compound interest expression but this time for depreciation
A= P(1-r)^t
Substitute
A= 2100(1-0.022)^6
A= 2100*(0.978)^6
A= 2100*0.875
A= £1837.5
Hence the amount of the car after 6 years is £1837.5
This is a a reflective property because it is an if then statement.
Answer:
2) n > 16
Step-by-step explanation:
Usually, a statement is written as:
If P, then Q
Where P = hypothesis
Q = conclusion.
And our statement is:
if 2n - 7 > 25, then n > 16
(We can easily solve the inequality to get the thing in the right:
2n - 7 > 25
2n > 25 + 7 = 32
n > 32/2 = 16
n > 16 )
then:
P = (2n - 7)
Q = n > 16
Then the conclusion is: n > 16
The correct option is 2) n > 16
It should be 77 because 180-55-48=77 and I took the test
