Find m∠ABD and m∠CBD given m∠ABC = 111∘

The expression that represents the balance (b) in relation to the number of years (t) is given as

... b = 2000·2^(t/19)...... the amount increases exponentially and is doubled when t=19

Consequently, when t=5, the balance is

... b = 2000·2^(5/19) ≈ 2400

The correct answer is...

... A. $2400

Answer:

The correct answers are:

D

D

There exist two coefficients: one pertains to x raised to the first degree, and another corresponds to the zeroth degree of x (the constant term).

Thus:
the coefficient for the constant term is 42 (i.e. 42x^0=42).
the coefficient for the linear term is 2 (i.e. 2x^1=2x)

Answer:

24 minutes

Step-by-step explanation:

Let y represent the rate of 120 envelopes per minute.

40/8 = 120/y

40y = 8 * 120

40y = 960

y = 960/40

= 24 minutes

Answer:

The shaped region accounts for 7/18 of the area of ACIG.

Step-by-step explanation:

Refer to the attached diagram for further clarity on the problem.

Step 1

Determine the length of one side of square ABED.

We know that

AB=BE=ED=AD

The area of a square can be calculated as

where b is the side length.

We have

So we substitute

Thus,

Step 2

Calculate the area of ACIG.

The area of rectangle ACIG is determined by

Substituting the given values yields

Step 3

Determine the area of the shaded rectangle DEHG.

The area of rectangle DEHG is given by

We find

and substitute

Step 4

Calculate the area of shaded rectangle BCFE.

The area of rectangle BCFE equals

We see that

and substitute

Step 5

Add the areas of the shaded regions together.

Step 6

Divide the area of the shaded region by the area of ACIG.

Simplify this fraction by dividing both the numerator and denominator by 5.

Hence, the shaped region represents 7/18 of the area of ACIG.