By definition, the volume of a cone is given by:
V = (1/3) * (pi) * (r ^ 2) * (h)
Where,
r: cone radius
h: height of the cone
Substituting values:
V = (1/3) * (3.14) * ((8/2) ^ 2) * (9)
V = 150.72 cm ^ 3
Answer:
this paper cone cup can hold:
V = 150.72 cm ^ 3
Answer:
D. 2019
Step-by-step explanation:
So I started by rewriting the function f(x)
1000 = 10^3 so
f(x)=10^3 times 1.03^x
1.03 = 103/100 so
f(x)= 10^3 times (103/100)^x
to raise a fraction to a power you just raise the numerator and denominator to that power so
f(x)= 10^3 times 103^x/100^x
change it to exponential form with a base of 10
f(x)=10^3 times 103^x/10^2x
then you can reduce it with the 10^3
f(x)=103^x/10^2x-3
so now that thats in more of a standard form you can find the intersection of the two functions
which is at (9.012,1305.244)
x is the number of years after 2010, so they will be equal ~9 years after 2010, which is 2019.
Answer:
C
Step-by-step explanation:
4.5/32=x/54
For the first question the answer is (2,2) and for the second question the answer is (0,4)
Answer:
a) $26
b) 24.07%
c) $94.3
Step-by-step explanation:
Given that:
Before tax:
Normal price of dress = $62
Discounted price of dress = $48
Normal price of a pair of shoes = $46
Discounted price of a pair of shoes = $34
a) Before the sales tax, total savings = ($64 - $48) + ($46 - $34) = <em>$26</em>
b) Total percentage discount on total sales.
Total bill for original price = $62 + $46 = $108
Percentage discount can be found by the formula:
c) Total amount paid if the sales tax is 15%.
Amount paid with tax = Amount after discount + 15% of amount after discount
Amount after discount = $48 + $34 = $82
15% of $82 = $18.29
Amount paid with sales tax = $82 + $12.3 = <em>$94.3</em>