Using continuous compounding, we have:
90000=65452 x e^.091t
1.3750534743017784024934303000672=e^.091t
ln 1.3750534743017784024934303000672=ln e^.091t=.091t ln e=0.091t
t=3.5 years
Answer:
0.1 yards of fabric
Step-by-step explanation:
Data provided in the question:
Number of outfits made for the doll = 14
Fabric used in each outfit = 
yards of fabric
Starting fabric available = 10 × 
or 
yards
Now,
The total fabric used in making the outfits of 14 dolls
= 14 × yards of fabric
= 
yards of fabric
Therefore,
The fabric left after making the outfits
= Fabric available in the start - Fabric used in making the outfits
= yards - yards
= 
yards
= 
yards
= 
yards
= 0.1 yards of fabric
1,5 one and a half cups of blueberry jam
A) I would make the positive integer x and then form an equation.
x + 30 = x^2 - 12
x + 42 = x^2
0 = x^2 - x - 42 this can be factorised
(x - 7) ( x + 6) Therefore x = 7 or x = -6
Since the question asks for a positive integer the answer is 7.
B) two positive numbers x and y.
X - y = 3
x^2 + y^2 = 117
Use these simultaneous equations to figure out each number.
Rearrange the first equation
x = y + 3
Then substitute it into the second equation.
(y+3)^2 + y^2 = 117
y^2 + 6y + 9 + y^2 = 117
2y^2 + 6y - 108 = 0
then factorise this.
(2y - 12) (y + 9)
This means that y = 6 or y = -9 but it’s 6 because that’s the only positive number.
Use y to find x
x = y + 3
x = 6 + 3
x = 9
So the answers are x = 9 and y = 6.
Answer:
ΔDEC/ΔRST is 13/3 it is c
Step-by-step explanation:
ΔRST/ΔDEC = 3/13 so the inverse is 13/3
