Answer: $169,500
Step-by-step explanation:
The mean simply means the average price of a set of a numbers that are given. For one t calculate the mean, one has to add the numbers that are given and then divide them by the amount of numbers.
I'm the case above, the numbers given are $165,000, $188,000, $175,000, and $150,000.
Mean = ($165,000 ,+ $188,000 +$175,000 + $150,000) ÷ 4
= $678,000/4
= $169,500
The Rule of 72 is a shortcut method to find the number of years to double your investment. This is only an estimation. This can be done by dividing 72 by the annual interest rate.
However, you are given a nominal rate since it is compounded annually. Let's convert this by this equation:
annual rate = (1+i/m)^m - 1, where m is the number of periods in a year. Thus, m=2
annual rate = (1 + 0.065/2)^2 -1 = 6.61%
Applying Rule of 72,
72 ÷ 6.61% = 10.89
This is where I found a problem. The answer here just directly divided 72 by 6.5% which will equal to 11.1 years. This is not accurate, since the given interest is compounded semi-annually. That is not an annual interest rate.
Nevertheless, the answer is still close to letter A.) 11.1 years.
Answer:
XD
Step-by-step explanation:
CF
Complete Question:
In ABC, the measure of sides c is 3.9 cm If DEF is a dilation ABC with a scale factor of 2.5 what is the measure of side f
Answer:
f = 9.75
Step-by-step Explanation:
From the information given, a sketch of ∆ABC and ∆DEF with their corresponding sides and angles have been attached below.
∆DEF is a dilation of ∆ABC, which is said to be on a scale factor of 2.5.
The scale factor is a whole number, this implies that ∆DEF is an enlargement of ∆ABC.
Since side c = 3.9 cm, in ∆ABC corresponds to side f, in ∆DEF, therefore, the measure of f would be:
f = measure of c × scale factor
f = 3.9 cm × 2.5
f = 9.75
