Answer:
The person must leave the money for 11.8 years until the investment reaches 1600 dollars.
Step-by-step explanation:
Given that a person invests 1000 dollars in a bank, and the bank pays 4% interest compounded quarterly, to determine to the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 1600 dollars the following calculation must be done:
1000 x (1 + 0.04 / 4) ^ Xx4 = 1600
1000 x 1.01 ^ 4X = 1600
1010 ^ 4X = 1600
X = 11.8
Therefore, the person must leave the money for 11.8 years until the investment reaches 1600 dollars.
We have the equation
Let's complete the square, to do it let's add and subtract 25 on the right side
Now we can have y in function of x
Now we can already identify the vertex because it's in the vertex form:
Where the vertex is
As we can see, h = 5 and k = -2, then the vertex is
Now we can continue and find the focus, the focus is
We have a = 1/20, therefore
The focus is
And the last one, the directrix, it's
Then
Hence the correct answer is: vertex (5, -2); focus (5, 3); directrix y = -7
Answer:
12
Step-by-step explanation:
10+1+1=12
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Step-by-step explanation:
option C and E are the two equations
Option C, equation is 3x+2y= -14
LHS= 3(-6)+2(2) = -18+4 = - 14 =RHS
Again, option E equation x+y= -4
LHS= -6+2 =-4 =RHS
