Answer:
The sum is 493.4
Step-by-step explanation:
In order to find the value of the sum, you have to apply the geometric series formula, which is:
where i is the starting point, n is the number of terms, a is the first term and r is the common ratio.
The finite geometric series converges to the expression in the right side of the equation. Therefore, you don't need to calculate all the terms. You can use the expression directly.
In this case:
a=40
b= 1.005
n=12 (because the first term is 40 and the last term is 40(1.005)^11 )
Replacing in the formula:
Solving it:
The sum is 493.4
Answer:
y = 2x² + 18x + 36
Step-by-step explanation:
Given
y = 2(x + 6)(x + 3) ← expand the factors using FOIL
y = 2(x² + 9x + 18) ← distribute parenthesis by 2
= 2x² + 18x + 36 ← in standard form
Answer:
40(1.25-t)
Step-by-step explanation:
There are 3 components to consider; time, speed and distance
Time and Speed are given.
The distance has to be calculated.
- Speed to work = 55 miles per hour
- Time to work = 1.25-T
- Speed to home = 40 miles per hour
- Time to home = 1.25-t
- Total Time = T + t = 1.25
<u>Distance for trip to home</u>
Speed = Distance/Time
40 = Total Distance/1.25-t
Total Distance = 40(1.25-t)
<em>Therefore, 40(1.25-t) is the correct answer.</em>
!!
5 and 1/4 times 3. 1/4 is equal to .25. So, 5.25 x 3 is...
15.75
Answer:
M = 1.5
Step-by-step explanation:
First, apply the distributive property to the problem. For this, you will multiply 4 x m, then 4 x 3.
Now, your problem looks like
4m + 12 = 18
Next, you need to get the variable isolated. For this, you need to subtract 12 from both sides.
Now, your problem looks like
4m = 6
Next, you can divide both sides by the non-constant term, which is 4m, so divide by 4.
Now, your problem looks like
M = 1.5
~theLocoCoco
