Please be more specific. What do you want to know?
4^x is an exponential function with base 4 and exponent x; its graph is entirely above the horizontal axis, and the curve representing 4^x continues to rise as x increases. Its y-intercept is (0,4^0), or (0,1).
This is an exponential decay function of the form:
y=ab^x, In this case:
y=15000(0.8^t) so for t=3
y=15000(0.8^3)
y=$7680
Answer:
yes it is
Step-by-step explanation:
it is since there is a common ratio between each term
Answer:
We are effectively looking for a and b such that 5, a, b, 135 is a geometric sequence.
This sequence has common ratio <span><span>3<span>√<span>1355</span></span></span>=3</span>, hence <span>a=15</span> and <span>b=45</span>
Explanation:
In a geometric sequence, each intermediate term is the geometric mean of the term before it and the term after it.
So we want to find a and b such that 5, a, b, 135 is a geometric sequence.
If the common ratio is r then:
<span><span>a=5r</span><span>b=ar=5<span>r2</span></span><span>135=br=5<span>r3</span></span></span>
Hence <span><span>r3</span>=<span>1355</span>=27</span>, so <span>r=<span>3<span>√27</span></span>=3</span>
Then <span>a=5r=15</span> and <span>b=ar=15⋅3=45</span>
