Generate equivalent expressions and simplify the following expression

115. Sami opens an account and deposits $100 into it at the end of each month. The account earns 2% per year compounded monthly.

givi [52]

Step-by-step explanation:

Geometric series.

Month 3.

100(1+\frac{0.02}{12})^2 + 100(1+\frac{0.02}{12})+100

Month 4.

100( 1 + \frac{0.02}{12})^3 + 100( 1 + \frac{0.02}{12})^2+100(1+\frac{0.02}{12})+100

Month 5.

100(1 + \frac{0.02}{12})^4 + 100(1 + \frac{0.02}{12})^3 + 100(1 + \frac{0.02}{12})^2 +100( 1 + \frac{0.02}{12}) + 100

4 0

3 years ago

1. Each month, the city of Accra generates an average of 28 pounds of waste. Assume the variable is approximately normally distr

Molodets [167]

1. Answer: given: an average of 28 pounds

a.

Find z values corresponding to 27 and 31:

z=%2827-28%29%2F2=-1%2F2=-0.5

z=%2831-28%29%2F2=3%2F2=1.5

Find the area between z+=+-0.5 and z=+1.5

Table E gives us an area of 0.9332-0.30=0.6247=> The probability is 62.47%

b.

Find z values corresponding to 30.2

z=%2830.2-28%29%2F2=2.2%2F2=1.1 Find the area to the right of z+=1.1

it gives you an area of 0.1357=> The probability is 13.57%

7 0

2 years ago

Raju’s father’s age is 5 years more than three times Raju’s age. Find Raju’s age,

Harrizon [31]

Answer:

Step-by-step explanation:

In order to find the answer, let's work backwards to find the original. We have to do the opposite to get to the Raju's age. We will start with his fathers age. (44) Then we will subtract five from it so that it will be divisible by three.

44 - 5 = 39

Then we just have to divide by 3.

44/3 = 13

His age is 13 years old.

5 0

3 years ago

Fill in the blank with the appropriate angle.

Y_Kistochka [10]

Answer:

∠ACG same side interior angles with ∠CGH and ∠CGE

Step-by-step explanation:

If parallel lines are drawn by a traverse certain angles (which have the same magnitude = equal) are created:

Corresponding Angles: same corners angles

Alternate Interior Angles: Alterative sides of the traverse, and the two crossed lines at the interior.

Alternate Exterior Angles: on the outer side of each of the two lines and on transversal opposite sides

Consecutive Interior Angles: To this side of the transverse with the two lines within. The Consecutive Inside Angles result in up to 180 ° when the two lines are parallel

As we can see from the figure

Alternate Interior Angles:

angles ∠ACG & ∠CGH and ∠DCG & ∠CGE

Consecutive Interior Angles:

angles ∠ACG & ∠CGE and ∠DCG & ∠CGH

Therefore ∠ACG same side interior angles with ∠CGH (Alternate Interior Angles) and ∠CGE (Consecutive Interior Angles)