By applying the formulas of present and future values of annuity we can solve this problem. In this mortgage problem, first we have to find loan amount after the down payment. It is 699,000 - 699,000 * 0.2 = 559,200$. We have to set it as PV (Present Value) of annuity. Using the PV formula
, we first find A, which is an annual payment. Exact calculation with mortgage calculator gives us A = 33,866.56$. After finding it, plugging this number into FV (Future Value) formula
, we find the value of the future value and it is 1,185,329.66$. And the total financial charge is 1,185,329.66 - 559,200 = 626,129.66$
Answer:
-4x - 20= -4x - 20
Step-by-step explanation:
Multiply -4 and x and -4 and 5. It has infinite solutions
Answer:
R''(2, 1), S''(-1, 7), T''(2, 7)
Step-by-step explanation:
Rotation 90° CCW is accomplished by the transformation ...
(x, y) ⇒ (-y, x)
Translation 3 left and 8 up is accomplished by the transformation ...
(x, y) ⇒ (x -3, y +8)
Together, the two transformations give ...
(x, y) ⇒ (-y -3, x +8)
So your transformed points are ...
R(-7, -5) ⇒ R''(-(-5)-3, -7+8) = R''(2, 1)
S(-1, -2) ⇒ S''(-(-2)-3), -1+8) = S''(-1, 7)
T(-1, -5) ⇒ T''(-(-5)-3, -1+8) = T''(2, 7)
Answer:
The correct option is commutative property.
Step-by-step explanation:
The expression that Renee is simplifying is:

It is provided that, Renee recognizes that 7 and
are reciprocals, so she would like to find their product before she multiplies by
.
The associative property of multiplication states that:

The commutative property of multiplication states that:

The distributive property of multiplication states that:

The identity property of multiplication states that:

So, Renee should use the commutative property of multiplication to find the product of 7 and
,

Thus, the correct option is commutative property.