so let's check the prices at both places.
Palanzio's
6.80 + 0.90(1)........... 1 topping
6.80 + 0.90(2)........... 2 toppings
6.80 + 0.90(3)........... 3 toppings
6.80 + 0.90(x)........... x toppings
Guido's
7.30 + 0.65(1)............1 topping
7.30 + 0.65(2)............2 toppings
7.30 + 0.65(3)............3 toppings
7.30 + 0.65(x)............x toppings
so, that is the cost equation for each one, now, if the costs were to be the same, then 6.80 + 0.90x = 7.30 + 0.65x, what's x?
9514 1404 393
Answer:
- ornament area = 379.8 cm²
- paint needed: 114 bottles
Step-by-step explanation:
The surface area of one cone with slant height s and radius r is ...
SA = πr² +πrs = πr(r+s)
For the cone that is half an ornament, the surface area is ...
SA = (3.14)(4.2 cm)(4.2 cm + 10.2 cm) = 189.9072 cm²
The area of one ornament is the area of two cones:
one ornament area = 2×189.9072 cm² ≈ 379.8 cm²
60 ornaments will be 120 cones, so will have a total surface area of ...
total area = 120(189.9072 cm²) = 22,788.864 cm²
__
If one bottle of paint will cover 201 cm², then the number of bottles of paint required is ...
(22788.864 cm²)/(201 cm²/bottle) ≈ 113.4 bottles
EXAMPLE OF FUNCTIONS:
f(x) = 3x+2
f(x) = ∛(x²-5x+3)
f(x) = ax³+bx²-c
EXAMPLE OF <span>RELATION:
x</span>²+y²=r² (Circle)
x²/a² + y²/b² = 1 (ellipse)
y = √(x+5) - 3 (parabola opening right/left)
Answer:
y = 18/5(11)
Step-by-step explanation:
If y varies directly as x, this is expressed as;
y∝x
y = kx
k is the constant of proportional constant
if y = 18 and x = 5
18 = 5k
k = 18/5
to get the expression that can be used to find the value of y when x is 11
y = kx
y = 18/5(11)
This gives the required expression
We have been given that a person places $6340 in an investment account earning an annual rate of 8.4%, compounded continuously. We are asked to find amount of money in the account after 2 years.
We will use continuous compounding formula to solve our given problem as:
, where
A = Final amount after t years,
P = Principal initially invested,
e = base of a natural logarithm,
r = Rate of interest in decimal form.
Upon substituting our given values in above formula, we will get:
Upon rounding to nearest cent, we will get:
Therefore, an amount of $7499.82 will be in account after 2 years.