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zloy xaker [14]
3 years ago
5

Paula is now four times the age of Lynn Lynn will be 16 in 10 years how old was Paula four years ago show your work

Mathematics
1 answer:
Dovator [93]3 years ago
3 0
Greetings!

"<span>Paula is now four times the age of Lynn. Lynn will be 16 in 10 years. How old was Paula four years ago?"

If Lynn will turn sixteen in ten years, she must be 6 at the current moment:
16-10=6

Since Paula is 4 times the age of Lynn, Paula must be:
6(4)
=24

24-4
=20 

Paula was 20 years old, 4 years ago.

Hope this helps.
-Benjamin
</span>
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Sloan [31]

The area under the speed curve tells you how much distance the vehicle covers.

The distance for first 30 s corresponds to the area of a rectangle with height <em>k</em> m/s and length 30 s, or

(<em>k</em> m/s) (30 s) = 30<em>k</em> m

The distance for the last 20 s corresponds to the area of triangle with height <em>k</em> m/s and length 20 s, or

1/2 (<em>k</em> m/s) (20 s) = 10<em>k</em> m

If the total distance traveled was 1.7 km = 1700 m, then

30<em>k</em> + 10<em>k</em> = 1700

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5 0
3 years ago
An artist painted a mural measuring 9’ x 20 1/2’ find the area and perimeter of the mural
Ann [662]
The difference is 180 is the correct answer for the problems
7 0
2 years ago
a traveler has 7 pieces of luggage . how many ways can the traveler select 3 pieces of luggage for a trip
7nadin3 [17]
Well, you could assign a letter to each piece of luggage like so...

A, B, C, D, E, F, G

What you could then do is set it against a table (a configuration table to be precise) with the same letters, and repeat the process again. If the order of these pieces of luggage also has to be taken into account, you'll end up with more configurations.

My answer and workings are below...

35 arrangements without order taken into consideration, because there are 35 ways in which to select 3 objects from the 7 objects.

210 arrangements (35 x 6) when order is taken into consideration.

*There are 6 ways to configure 3 letters.

Alternative way to solve the problem...

Produce Pascal's triangle. If you want to know how many ways in which you can choose 3 objects from 7, select (7 3) in Pascal's triangle which is equal to 35. Now, there are 6 ways in which to configure 3 objects if you are concerned about order.

7 0
3 years ago
17. New Schools expects an EBIT of $100,000 every year forever. The firm currently has no debt, and its cost of equity is 10 per
Natali5045456 [20]

Answer:

$880,000

Step-by-step explanation:

First note that the full meaning of EBIT is earning before interest and tax.

When the company does not have debt, it called unlevered (VU), while a company that has debt is called levered (VL) company. The VU and the VL of the company can be calculated using the VU and VL formula as follows:

Step 1. Calculation of VU

VU = [EBIT × (1 - tax rate)] ÷ cost of equity

       = [$100,000 × (1 - 0.20)] ÷ 0.10

       = [$100,000 × 0.80] ÷ 0.10

       = $80,000 ÷ 0.10

       = $800,000

Step 2. Calculation of VL

VL = VBC + (tax rate × conversion rate × VU)

        = $800,000 + (0.20 × 0.5 × $800,000)

        = $800,00 + $80,000

        = $880,000

Therefore, the value of the firm will be $880,000 if it is converted to 50 percent debt.

3 0
3 years ago
30=11+3x find x need asap
kompoz [17]

Answer:

x = 19/3

Step-by-step explanation:

30 - 11 = 3x

3x = 19

x = 19/3

hope it helps!

4 0
3 years ago
Read 2 more answers
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