Answer:
11 years.
Step-by-step explanation:
Given that Carter invested $ 16,000 in an account paying an interest rate of 5.6% compounded monthly, to determine, assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $ 29,600, the following calculation must be performed:
16,000 x (1 + 0.056 / 12) ^ Yx12 = 29,600
Y = 11
16,000 x 1.4666 ^ 132 = X
29,581.70 = X
Thus, rounded to the nearest year, it would take 11 years for the account to reach $ 29,600.
Answer:
The coordinates of the point that makes the division in the given ratio is (0,3)
Step-by-step explanation:
Here, we want to find the point on the line segment that divides the line segment in the ratio 1:2
We simply use the internal division formula
That would be;
(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)
m = 1 and n = 2
(x1,y1) = (4,9)
(x2,y2) = (-8,-9)
Substituting these values into the formula, we have;
2(4) + 1(-8)/(1 + 2) , 2(9) + 1(-9)/(2 + 1)
= (8-8)/3 , (18-9)/3
= (0,3)
Answer:
its 0.4 :)
Step-by-step explanation:
Answer:
(x² - 9)(x² - 2) = 0
x = 3 or √2
Step-by-step explanation:
To factor a polynomial, you need to find two expression that when multiplied together using FOIL (first, outside, inside, last) will produce the polynomial. In this case the polynomial 
can be factored into:
(x² - 9)(x² - 2) = 0
Setting each of these expressions equal to '0':
x² - 9 = 0 or x² = 9 so √x² = √9 or x = 3
x² - 2 = 0 or x² = 2 so √x² = √2 or x = √2
