Answer:
The first term of the sequence is -120.
Step-by-step explanation:
The formula for the "nth" term of a geometric sequence is shown below:
an = a0*r^(n-1)
Where an is the nth term, r is the ratio and n is the position of the term on the sequence. For this problem we want to find what is the initial term, a0, so we will isolate it in the formula as shown below:
a0*r^(n-1) = an
a0 = an/[r^(n-1)]
We then apply the data given to us
a0 = 31.45728/[-0.8^(7-1)]
a0 = 31.45728/[-0.8^6] =31.45728 /-0.262144= -120
The first term of the sequence is -120.
Answer:
$30444.41
Step-by-step explanation:
→ Work out compound interest
(100 + 6) ÷ 100 = 1.06
→ Multiply the amount by the money
17000 × 1.06
→ Find how many years it is for
17000 × 1.06¹⁰ = 30444.41
Answer:
C. 194
Step-by-step explanation:
An integer can be a positive or negative whole number, but not a decimal. If this number is an integer, then it is also a rational number. So, 194 fits this description.
Maybe this image can help you.
See in the explanation
<h2>
Explanation:</h2>
In this exercise, <em>we have the following points:</em>

And <em>the following linear equations:</em>

When plotting these graphs, we find the following facts:
<h3>For (1):</h3>
We see the graph in the first figure below. The graph only passes through the point (0, 8)
<h3>For (2):</h3>
This is the second graph below. The graph passes neither through point (0, 8) nor (6, 4)
<h3>For (3):</h3>
This is the third graph below. The graph passes neither through point (0, 8) nor (6, 4)
<h3>For (4):</h3>
This is the fourth graph below. The graph only passes through the point (0, 8)
So, <em>there is no any equation of the line that passes through the points (0.8) and (6.4) at the same time.</em>
<em />
<h2>Learn more:</h2>
About lines: brainly.com/question/12169569
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