Answer:
Step-by-step explanation:
Let amount now be x , meaning principal is x
and the amount later A is 2x
A = P(1+r/n)^nt
n = 12
2x = x (1 + 0.06/12)^12t
divide through by x
2 = (1+ 0.005)^12t
2 = (1.005)^12t
Take log of both sides
log 2 = 12t log 1.005
12t = log2/log 1.005
12t = 138.975721610697
t = 138.975721610697/12
t = 11.58
t = 12 years
Answer:
The answer is b = √(c² - a²).
Step-by-step explanation:
For right angle triangle, you can apply Pythagoras Theorem where c² = a² + b² .
Answer:
(4,3)
Step-by-step explanation:
Given
x^2+y^2=25
x-y^2=-5
In order to solve the equations, from equation 2 we get
-y^2= -5-x
y^2=5+x
Putting the value of y^2 in equation 1
x^2+5+x=25
x^2+5-25+x=0
x^2+x-20=0
x^2+5x-4x-20= 0
x(x+5)-4(x+5)=0
(x+5)(x-4)=0
So
x+5=0 x-4=0
x=-5 x=4
Now for x=-5
x^2+y^2=25
(-5)^2+y^2=25
25+y^2=25
y^2=25-25
y^2=0
so Y=0
And for x = 4
x^2+y^2=25
(4)^2+y^2=25
16+y^2=25
y^2=25-16
y^2=9
y= ±3
So the solution to the system of equations is
(-5,0) , (4,3), (4,-3)
The only solution that belongs to first quadrant is (4,3)
Answer:
The probability is 0.25
Step-by-step explanation:
Here is a probability question.
We want to know the probability of picking a card which is in the spades suit.
Now, what we know is that there are a total of 52 cards and we have 4 suites.
Each suite have equal number of cards. So definitely the number of cards in the spades suit will be 52/4 = 13 cards
Thus, the probability of picking any card in the spades suit = number of cards in the spades suit/ Total number of cards in the deck
Mathematically that would be 13/52 = 1/4 = 0.25
Slope is 7/4
the y intercept is -10
so d. is the answer
