Answer:
FV= $95,454.20
Step-by-step explanation:
Giving the following information:
Annual deposit= $2,000
Number of periods= 25 years
Interest rate= 5% compounded annually
<u>To calculate the future value of the annual deposits, we need to use the following formula:</u>
FV= {A*[(1+i)^n-1]}/i
A= annual deposit
FV= {2,000*[(1.05^25) - 1]} / 0.05
FV= $95,454.20
Answer:
422.44 feet
Step-by-step explanation:
Let A, B, X, and H represent the left-most observation point, the observation point to its right, the point immediately below the apex, and the height of the apex, respectively.
Then the definition of the cotangent function tells us ...
AX = H·cot(42°)
BX = H·cot(48.85°)
Since the figure tells us AB = 100 feet, we have ...
AB = AX -BX
100 = H·cot(42°) -H·cot(48.85°)
H = 100/(cot(42°) - cot(48.85°)) ≈ 422.44 . . . . ft
The current height of the pyramid is 422.44 feet.
Answer:
9 (make sure to place the currency symbol (e.g. £ or $) beside your answer, otherwise it may be counted as incorrect).
Step-by-step explanation:
- If one adult went and the adult tickets cost 14, we can subtract 14 from 59 to see the total cost of the children's five tickets:
59 - 14 = 45
- Because there are 5 children, you then divide that value by 5 in order to find out the cost for one child and, ultimately, the cost of each child's ticket: 45 ÷ 5 = 9
- The cost of each child's ticket is therefore 9
<u><em>Question 9:</em></u>
Simplify what is in the parenthesis
Multiply 20 to 5
Divide 50 to 100
<u><em>*(Answer)*=</em></u>
<u><em>Question 10:</em></u>
÷ 
Simplify what is in the parenthesis
Divide 6 to 18
Add 5 to 3
<u><em>*(Answer)*=</em></u> 8
Hope this helps
User who answered: <u><em>BangtanBoyScouts</em></u>
Answer:
84.134%
Step-by-step explanation:
We solve this question using the z score formula.
The formula for calculating a z-score is z = (x-μ)/σ
where
x is the raw score
μ is the population mean
σ is the population standard deviation.
We are were asked in the question that:
Suppose that adult women in China have heights that are normally distributed with a
mean = 155 centimeters
standard deviation = 8 centimeters. Of the Chinese women, what percent are shorter than 163cm?
Using the z score formula
z = (x-μ)/σ
z = (163 - 155)/8
z = 8/8
z = 1
Determining the Probability value from Z-Table:
P(x ≤ 163) = P(x < 163)
= 0.84134
Converting to percentage
= 0.84134 × 100%
= 84.134%
The percent of Chinese women that are shorter than 163cm is 84.134%
