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yan [13]
3 years ago
7

Using the rule of 72, t = StartFraction 72 Over r EndFraction, how long will it take for the principal to double with an annual

compound interest rate of 6%? 6 years 9 years 12 years 15 years
Mathematics
2 answers:
konstantin123 [22]3 years ago
5 0

Answer:

12 years

explanation:

just took the test

Olegator [25]3 years ago
5 0

Answer:

12

Step-by-step explanation:

I just got it correct.

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The area of a field shaped like a right triangle is 750yd^2.One leg of the field is fenced with wood costing $5/yd. the remainde
Elenna [48]
Assume that
 a and b = the two legs of the right triangle. 
 c =  the hypotenuse.

The area of the right triangle is 750 yd², therefore
(1/2)*a*b = 750
ab = 1500               (1)

The perimeter is 150yd, therefore
a + b + c = 150         (2)

Let the side fenced with wood be a, at $5/yd.  Sides b and c are fenced with steel at $10/y. The total cost is $1200, therefore
 5a + 10b + 10c = 1200            
or
a + 2b + 2c = 240         (3)

From (2), obtain 
c = 150 - a - b              (4)

Substitute (4) into (3)
a + 2b + 2(150 - a - b) = 240
-a + 300 = 240
a = 60

From (1), obtain
60b = 1500
b = 25

From (4), obtain
c = 150 - 60 - 25 = 65

Answer:
A. The length of the leg fenced with wood is 60 yd.
B.  The length of the leg fenced with steel is 25 yd.


5 0
4 years ago
Find the missing length indicated. Leave your answer in simplest radical form.
Dafna11 [192]

Answer:

C) 25

Step-by-step explanation:

First, solve for the height (red dotted line) using the Pythagorean theorem 9²+b²=15²

81+b²=225

b²=225-81

b²=12

Then set up a ratio.

x/12=9/15

simplify

x/12=3/5

cross-multiply

3x=60

x=20

This gives us the base.  Now we can solve for x using the Pythagorean theorem again.

20²+15²=x²

400+225=x²

625=x²

√x²=√625

x=25

6 0
3 years ago
I NEED HELP ASAP!!!!!!!! Jason needs to buy a new sweater. The ticket price of the sweater was $89.00. After sales tax was inclu
WARRIOR [948]

Answer:

C

Step-by-step explanation:

Find the difference between $94.79 and $89.00 then do (5.79/89)*100 which is 6.50561797753, then round the initial answer so you get 6.50

Have a great day <3

7 0
3 years ago
Jimmy is trying to escape Jane.... He runs 12 km/hr for 5 minutes, 17 km/hr for 8 minutes, and finally 6 km/hr for 2 minutes. Wh
Nana76 [90]

we are given

Jimmy is trying to escape Jane

For finding total distance , we will find distances and then add them

He runs 12 km/hr for 5 minutes

First distance:

speed =12 kh/hr

time=5 minutes

we can change into hour

t=\frac{5}{60}hr

d_1=s*t

now, we can plug values

d_1=12*\frac{5}{60}

d_1=1

second distance:

speed =17 kh/hr

time=8 minutes

we can change into hour

t=\frac{8}{60}hr

d_2=s*t

now, we can plug values

d_2=17*\frac{8}{60}

d_2=2.26667

third distance:

speed =6 kh/hr

time=2 minutes

we can change into hour

t=\frac{2}{60}hr

d_2=s*t

now, we can plug values

d_3=6*\frac{2}{60}

d_3=0.2

now, we can find total distance

d=d_1+d_2+d_3

d=1+2.26667+0.2

d=3.46667

so,

total distance is 3.46667 km...........Answer

7 0
3 years ago
Question 3Multiple Choice Worth 5 points)
Masteriza [31]

Answer:

Down 4 unit (see discussion, could be right 4 units)

Step-by-step explanation:

f(x) = x

G(x) = x - 4

Discussion:

if f(x) = x      g(x) = f(x-4) = x-4  ... shift to right 4 units

or g(x) = f(x) - 4 = x -4    ... shift down 4 units

6 0
3 years ago
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