Answer:
15 miles
Step-by-step explanation:
5 days times 3 miles per day.
the saturdat/Sunday skateboarding stuff is irrelevant to the question asked
Total investment = $10,500
Let x = amount of first investment, and y the amount of the second investment.
First investment:
Interest rate = 9 (1/5)% = 0.092
Earned interest = 0.092x
Second investment:
Interest rate = 9% = 0.09
Earned interest = 0.09y
Total interest after one year is $957.00, therefore
0.092x + 0.09y = 957
or
1.0222x + y = 10633.33 (1)
Also,
x + y = 10500 (2)
Subtract (2) from (1).
0.0222x = 133.33
x = 6000
y = 10500 - x = 4500
Answer:
The first investment is $6,000 at 9 (1/5)% rate;
The second investment is $4,500 at 9% rate.
Answer:
17 in.
Step-by-step explanation:
There are two same angles shown, so two sides are equal. We can form an equation x+4=4x+1. Solution is x=1, then both unknown sides are 5 in. long. Given all side lengths we add them 7+5+5+15 getting the perimeter.
Answer:
1) 1 element
2) 13 elements
3) 22 elements
4) 40 elements
Step-by-step explanation:
1) Only one element will have no tails: the event that all the coins are heads.
2) 13 elements will have exactly one tile. Basically you have one element in each position that you can put a tail in.
3) There are 
elements that have exactly 2 tails. From those elements we have to remove the only element that starts and ends with a tail and in the middle it has heads only and the elements that starts and ends with a head and in the 11 remaining coins there are exactly 2 tails. For the last case, there are 
possibilities, thus, the total amount of elements with one tile in the border and another one in the middle is 78-55-1 = 22
4) We can have:
- A pair at the start/end and another tail in the middle (this includes a triple at the start/end)
- One tail at the start/end and a pair in the middle (with heads next to the tail at the start/end)
For the first possibility there are 2 * 11 = 22 possibilities (first decide if the pair starts or ends and then select the remaining tail)
For the second possibility, we have 2*9 = 18 possibilities (first, select if there is a tail at the end or at the start, then put a head next to it and on the other extreme, for the remaining 10 coins, there are 9 possibilities to select 2 cosecutive ones to be tails).
This gives us a total of 18+22 = 40 possibilities.
At age 6, he read six. That doubled would be 12 books. So at age 7, he read 12. 12 doubled is 24. At age 8, he read 24. That doubled would be 48. At age 9, he read 48. That double would be 96. So by age 10, he would have read 96 books.
