Answer:
3
Step-by-step explanation:
Using the rule of radicals
×
⇔
Given
=
= ×
= 3
A group of mountain climbers begin an expedition with 270 pounds of food. They plan to eat a total of 15 pounds per day. Write a
2 answers:
Answer:
Equation : 15x = 270
Where, x = number of days,
Their food will last in 18 days.
Step-by-step explanation:
Given,
Total food = 270 pounds,
Consumption of food per day = 15 pounds
Let x be the number of days,
Then, consumption of food in x days = 15x
∵ Total food will last,
If total consumption = total food
⇒ 15x = 270
Which is the required equation,
Divide both sides of the equation by 15,
We get,
x = = 18
Hence, their food will last in 18 days.
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Answer:
A
Step-by-step explanation:
a geometric sequence is where we multiply a factor from element to element.
a1 = $900
a2 = 981 = a1 × f = 900 ×
a3 = 1069.29 = a2 × f = a1 × f × f = s1 × f²
so, now let's try and get f.
remember, 981 = 900 × f
f = 981/900 = 109/100 = 1.09
just to control, we check for s3 :
900 × (1.09)² = 900 × 1.1881 = 1069.29
correct.
so,
a13 = 900 × (1.09)¹² = 2,531.398304
s13 is then the sum of all a1, ..., a13
there is a nice formula for sums of finite sequences
s13 = 900 × (1-f¹³) / (1-f) = 900×(1-(1.09)¹³) / (1-1.09) =
= 900×(1-3.065804612) / (-0.09) =
= 900×(-2.065804612) / (-0.09) = 20,658.04612
.