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Aneli [31]
2 years ago
7

Freddy is on a nature hike. He hikes west 4 miles, and then he turns due north and hikes for 2 miles. It is getting dark and Fre

ddy wants to take the shortest route back to where he started. What is the direct distance back to his starting point?
Mathematics
1 answer:
melomori [17]2 years ago
7 0

The direct path back forms a right triangle. Use the Pythagorean theorem:

X = sqrt(4^2 + 2^2)

X = sqrt(16 + 4)

X = sqrt(20) = 2sqrt(5)

X = 4.472

Round the answer as needed.

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Find the difference between the cash price and the payment plan and calculate the interest rate for the following questions.
vagabundo [1.1K]

Answer:

1).

Difference = $6

Interest rate= 4.03%

2).diffrence = $97

Interest rate = 14.37%

3). Difference = $7

Interest rate= 4.67%

4). difference= 191

Interest rate= 9.6%

5). Difference= 2.25

Interest rate= 3%

6). Difference=$ 302

Interest rate=9.12%

Step-by-step explanation:

1).$10 per months for 15 months

= 10*15=$150

PLus a down payment of $5= $155

Interest = 155-149= $6

Interest rate = 6/149*100= 4.03%

2.)$120.00 per month for 6 months

= 120*6=$ 720

Plus a down payment of $52=$772

Interest= 772-675= $97

Interest rate = 97/675 *100= 14.37%

3). $12.00 per month for 11 months

= 12*11= 132 plus down payment of $25

= $157

Interest= 157-150= $7

Interest rate=7/150 *100= 4.67%

4).$74.00 per month for 24 months

= 74*24=$1776

Plus a down payment of $400=$ 2176

Interest= 2176-1985= 191

Interest rate= 191/1985*100= 9.6%

5).$4.75 per week for 11 weeks

= 4.75*11=$52.25

Plus a down payment if $25

= 25+52.25=$ 77.25

Interest= 77.25-75= 2.25

Interest rate= 2.25/75 *100= 3%

6).$300 a month for 10 months

= 300*10= $3000

Plus a down payment of $600

= $3600

Interest=3600-3298= 302

Interest rate= 302/3298 *100=9.12%

5 0
3 years ago
There are 12 participants running in a 110m hurdles race. How many ways are there to award a gold, silver, and bronze medal?
prohojiy [21]

Answer:

220 ways

Step-by-step explanation:

The order matters because there's going to be a first, second, and third place.

So, 12P3=12!/(12-3)!*3!=12!/9!*3!=12*11*10*9!/9!*3!=12*11*10/6=220

Therefore, 220 ways

8 0
2 years ago
Given that D is he midpoint of AB and K is the midpoint of BC, which statement must be true?
Reil [10]
I can't understand your question do you have any number there?
3 0
3 years ago
A line segment has a midpoint of (7, 1/2) <br> If one endpoint is (5,3), what is the other endpoint?
Tanya [424]
So if 7 is the middle x-value, you calculate how far it is from the given endpoint in order to determine how far it is from the other endpoint. So,

7 -5 =2, so the other endpoint must be 2 away from 7 in the opposite direction, 7+2=9

Then repeat with y,

3-1/2=5/2, therefore 1/2 - 5/2 = -4/2= -2

So the point is (9, -2)
5 0
3 years ago
Read 2 more answers
Correct simplification of 8x^2(5x + 2x^2 − 3)??
pantera1 [17]
<span><span>16<span>x^4</span></span>+<span>40<span>x^3</span></span></span>−<span>24<span>x^<span>2  
That is it</span></span></span>
5 0
3 years ago
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