9514 1404 393
Answer:
sum = ∑[n=1,5] 4^(n-4)
Step-by-step explanation:
First of all, you need to be able to describe the n-th term.
Here, we have ...
term #: 1, 2, 3, 4, 5
value: 4^-3, 4^-2, 4^-1, 4^0, 4^1
That is, the exponent of 4 is 4 less than the term number. So, the n-th term is 4^(n-4). The sum of the 5 terms shown is then ...
Answer:
5.3
Step-by-step explanation:
wait i got it!
Since 18 kilograms are 18000 grams, you have
18000/30=600
and
800/30=26.6
So, with 18 kilograms of salt the baker can make exactly 600 batches with no leftovers, while with 800 grams of salt the baker can make 26 batches, with some leftovers.
In fact, 26 batches require
26 x 30 =780
grams of salt, and the remaining
800-780=20
grams of salt are not enought to prepare the next batch
Step-by-step explanation:
Answer:
55
Step-by-step explanation:
33/60 = 0.55 * 100 = 55
Check:
55*0.6 = 33
Hope that helps!
<span>If this statement is a True or False question.
Then, TRUE. A "b" value of less than 1 produces a graph with exponential decay.
We consider this formula: y = a*b^x or f(x) =a*b^x
a is the initial value, b is the rate, x is the exponent.
If b has a value of less than 1, as the exponent increases the resulting value of y decreases.
f(x) = 20(0.90)^x
f(1) = 200(0.90)</span>¹ = 180
f(2) = 200(0.90)² = 162
f(3) = 200(0.90)³ = 145.80
f(4) = 200(0.90)⁴ = 131.22
f(5) = 200(0.90)⁵ = 118.10
Exponential decay is the decrease in a quantity. As you can see in the given example the value of f(x) decreases as the value of x increases because the value of b is less than 1.
