(This is a multiple choice question)Suppose you are rehearsing for a dance competition and you fall and hurt your shoulder. At t
he hospital, they take X-rays, consult a shoulder specialist, and give you a stabilizer brace. You pay a $50 co-pay at the time of service, and the ER bills your insurance company for the rest. The total hospital bill is $3,720. The table below shows the payment structure for your health insurance policy. If the injury happened in July, what is your total paid in monthly premiums?
A. 1,050$
B. 150$
C. 900$
A. 1,050$
B. 150$
C. 900$
1 answer:
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Answer:
x = -
Step-by-step explanation:
Given
-
=
x
Multiply through by 6 to clear the fractions
2x - (3 - 2x) = 15x ← distribute and simplify left side
2x - 3 + 2x = 15x
4x - 3 = 15x ( subtract 4x from both sides )
- 3 = 11x ( divide both sides by 11 )
- = x
Question:
Write out the first three terms and the last term. Then use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum.
30
∑ (−3i+5)
i=1
Answer:
The first three terms are : 2, -1 and -4
The last term is: -85
The sum of the sequence is: -1245
Step-by-step explanation:
Given;
==================================
30
∑ (−3i+5) -------------------(i)
i=1
==================================
Where the ith term aₙ is given by;
=
-------------------(ii)
(a) Therefore, to get the first three terms (), we substitute i=1,2 and 3 into equation (ii) as follows;
=
= 2
Since the sum expression in equation (i) goes from i=1 to 30, then the last term of the sequence is when i = 30. This is given by;
(b) The sum of an arithmetic sequence is given by;
-----------------(iii)
Where;
n = number of terms in the sequence = 30
= first term = 2
= last term = -85
Substitute the corresponding values of n, and
into equation (iii) as follows;
= 15[-83]
= -1245