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Sveta_85 [38]
3 years ago
4

What course level took the longest to complete? University course and costs

Mathematics
1 answer:
dem82 [27]3 years ago
8 0

............ . . . m m. .

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Find the sum of the geometric series 40 + 40(1.005) + 40(1.005)^2 + ⋯ + 40(1.005)^11.
KiRa [710]

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:

\sum_{i=1}^{n} ar^{i-1} = \frac{a(1-r^{n})}{1-r}

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:

\frac{a(1-r^{n})}{1-r} = \frac{40(1-1.005^{12})}{1-1.005}

Solving it:

The sum is 493.4

4 0
3 years ago
There are 6 squares and 2 circles. What is the simplest ratio of circles to total shapes?
Sunny_sXe [5.5K]

Add to find the total number of shapes.

6 + 2 = 8

Circles to total amount of shapes -> 2:8

Divide 2 to both sides.

2/2:8/2

1:4

Therefore, the answer is 1:4

Best of Luck!

4 0
4 years ago
Read 2 more answers
What is -10=-14v + 14v
pogonyaev
0=-10
So no value
This is the answer to this question
4 0
4 years ago
summer used 2/5 of her ground beef to make burgers. if she used 3/4 pounds of beef, how much beef did she have at first?
Gekata [30.6K]

Answer:

8/15

Step-by-step explanation:

7 0
3 years ago
What is the distance from L1 to D? That is, what is the measure of the line segment L1D? Hint: review the diagram in "The Race C
velikii [3]

A line segment in geometry is the part of a line which is bounded by two distinct end points.

<h3>What is line segment?</h3>

Your information is incomplete. Therefore, an overview will be given. A line segment simply means a part of a line that has two endpoints.

A line segment contains end points and the points if the line that's between them. A segment is typically named by two endpoints like AB.

Learn more about line segments on:

brainly.com/question/2437195

6 0
3 years ago
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