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nalin [4]
3 years ago
10

Anna wants to buy a car in two years and wants to have $10,000 for the purchase. How much will Anna need to deposit today in an

account that earns 5% interest per year, compounded monthly?
Mathematics
1 answer:
Marianna [84]3 years ago
5 0

11049.41 should be your answer, good luck!!

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Eight two-person teams are participating in a three-legged race. Find the number of orders in which all 8 teams can finish the r
Wewaii [24]
Each team needs two people for a 3-legged race.
Therefore, the number of orders (combinations) of 2 people at a time from 8 is
₈C₂ = 8!/(2!6!)
      = (8*7*6!)/(2*6!)
      = (8*7)/2
      = 56/2
      = 28

Answer: 28
8 0
3 years ago
Can someone solve this! Need it done soon
Airida [17]

Answer:

117.5 ft²

Step-by-step explanation:

To find the area of the shaded area, we can find the area of the square, then subtract the areas of the two semicircles.

First, we will find the area of the given square, by using the formula lw, multiplying the length and width. The dimensions of this square are 14×14.

14 · 14 = 196

The area of the square is 196 ft².

We can now find the area of the two congruent half-circles. Since they are identical, we can simply find the area of one circle if it was whole. To find the area of a circle, we'll use the formula A=\pi r^2. With some simple deduction, we can see that the diameter of the circle is 10 ft, so the radius would be 5 ft long. Plug our values into the formula.

A = \pi5²

We will use 3.14 for \pi.

A = 78.5

The area of both the semicircles is 78.5 ft².

Now, we can subtract.

196 - 78.5 = 117.5

The area of the figure is 117.5 ft².

Good luck ^^

7 0
3 years ago
Find the lateral surface area.
sveta [45]

Answer:

900 yd²

Step-by-step explanation:

You can draw the pattern that would need to be folded to make the figure, then find the area of that pattern (or "net"). It consists of a rectangle 10 yards wide and 60 yards long, together with another that is 20 yards long and 15 yards wide. The total area is the sum of these ...

... area = (60 yd)(10 yd) + (20 yd)(15 yd)

... = 600 yd² +300 yd²

... = 900 yd²

5 0
3 years ago
In the figure below, L N equals 4 x minus 7 and M O equals 2 x plus 13. For which value of x is the figure a rectangle?
Georgia [21]

For this case we have the following data:


LN = 4x-7

MO = 2x + 13

So that the figure can be a rectangle, its diagonals must be equal, that is, LN = MO

In this way we have:


4x-7 = 2x + 13

Clearing x we have:

4x-2x = 13 + 7 \\2x = 20

x=\frac{20}{2} \\x = 10

Thus, x must be equal to 10 so that the figure is a rectangle.


Answer:


x = 10

Option A

3 0
3 years ago
80 x 25 = n<br> Expanded form <br> 80 x ( ) <br> Partial product <br> 80 x 20=<br> 80 x 5 =
defon

9514 1404 393

Answer:

  2000

Step-by-step explanation:

Expanded form:

  80 × (20 + 5)

Partial products:

  80 × 20 = 1600

  80 × 5 = 400

Sum of partial products: 1600 + 400 = 2000.

8 0
3 years ago
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