$500 principal at 12% for 0.5 years. <br> Find interest and balance.

Suppose a set A contains n elements. How many elements does P(A) have?

S_A_V [24]

Answer:

2n elements

Step-by-step explanation:

4 0

3 years ago

Megan's room was remodeled. The new area of the room is 175% of the previous area. Only the length of the room changed. part a)

Paraphin [41]

Answer: a) $\frac{175}{100}xy\\\\=1.75xy\\\\$

b) By 0.75 square meters the new area is increased.

Step-by-step explanation:

Let the length of room be l

Let the breadth of room be 'b'

As we know the formula for "Area of rectangle ":

$Area=Length\times breadth\\\\Area=l\times b$

Now, According to question, The new area of the room is 175% of the previous area.

So, a) New area of the room becomes,

$\frac{175}{100}xy\\\\=1.75xy\\\\$

So, it means Length of the room is increased by 175%, because of which the area is increased by 175%.

b) By how many square meters has the area of Megan's room increased

$1.75xy-1xy=0.75\\\\\text{So, by 0.75 square meters the new area is increased.}$

7 0

4 years ago

BP Pizzeria sell medium pizzas with a circumference of 28 centimeters and want to enlarge their medium pizza to a circumference

belka [17]

Answer: 3

Step-by-step explanation:

The scale factor is the ratio by which a size of a thing was increased or decreased so that it can be converted to the size of another thing.

In this case that scale factor is;

= 84/28

= 3

A Scale factor if 3 was used to create the new pizza as the new pizza is the old pizza increased by 3.

6 0

3 years ago

Select the mathematical expression that corresponds to the following written

mestny [16]

Answer:

none of the above

Step-by-step explanation:

(t÷5) - 25

3 0

3 years ago

In a random sample of 7 residents of the state of Maine, the mean waste recycled per person per day was 1.4 pounds with a standa

ivolga24 [154]

Answer:

a) The 95% confidence interval for the mean waste recycled per person per day for the population of Maine is between 1.19 and 1.61 pounds.

b) $T_c = 2.4469$

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 7 - 1 = 6

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 6 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975$ . So we have T = 2.4469, and the answer to question b is $T_c = 2.4469$

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 2.4469\frac{0.23}{\sqrt{7}} = 0.21$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 1.4 - 0.21 = 1.19 pounds.

The upper end of the interval is the sample mean added to M. So it is 1.4 + 0.21 = 1.61 pounds.

The 95% confidence interval for the mean waste recycled per person per day for the population of Maine is between 1.19 and 1.61 pounds.

7 0

3 years ago

$500 principal at 12% for 0.5 years. Find interest and balance.