Let us say that:<span>
P = present value
F = future value
i = interest rate
n = period
P = F / [ (1 + i ) ^n ]
P = 200000 / [ (1 + 0.011) ^6 ]
P = 187293.65
<span>Therefore the student must put up Php 187,293.65</span></span>
for question 1
Area of Base B =45×25 = 1125 cm²
perimeter of base P = 2(45+25) = 140 cm
Height = 15 cm
Using the formula
Surface area = 2B + Ph
A = 2×1125 + 140×15= 4350 cm²
Voume = Bh = 1125×15= 16875 cm³
For question 2,
Area of base = 7× 5/2= 17.5 cm²
Perimeter of base = (7+7+7) = 21 cm
Surface area = 2B + Ph
Surface area of prism = 2×17.5+ 21×10 = 245cm²
Volume = Bh = 17.5×10 = 175 cm³
Answer:
Given the function in the question
f(x) = |x-3| + 2
a) state the name of the function
Absolute value function
since it is similar to f(x) = |x|
b) identify the independent and dependent variable
x = independent variable (input variable)
f(x) or y = dependent variable (output variable)
The variable which we assign the value we call the independent variable, and the other variable is the dependent variable, since it value depends on the independent variable.
c) identify the rule
A function is an equation that has only one answer for y for every x.
d) evaluate the function
given x = -5
f(-5) = |-5 - 3| + 2
= |-8| + 2
= 8 +2
= 10
Answer: 669
Step-by-step explanation:
Given, In a Gallup poll of randomly selected adults, 66% said that they worry about identity theft.
i.e. The proportion of adults said that they worry about identity theft. (p) = 0.66
Sample size : n= 1013
Then , Mean for the sampling distribution of sample proportion = <em>np</em>
= (1013) × (0.66)
= 668.58 ≈ 669 [Round to the nearest whole number]
Hence, the mean of those who do not worry about identify theft is closest to 669 .
4% of $8000 is $320 x 9 = $2880
The answer is $2880