The annual interest rate on a loan is 12% which can be represented using the expression 1.12t. write an expression that represents the 6 month interest rate. a) 1.058t b) 1.0582t c) 1.119t d) 1.1192t

B) 1.0583^t

Step-by-step explanation:

The formula for the interest earned on an investment is

I = (1 + r)^t

Data:

I = 1.12

t = 2

Calculations:

1.12 = (1 + r)²

Take the square root of each side

1.058 30 = 1 + r

Then, the formula for the interest calculated on a six-month basis is

I = 1.0583^t

The option with the closest answer is B) 1.0582^t.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.