Answer:6
Step-by-step explanation:Take the derivative of the numerator and denominator, then evaluate the limit.
1. This must be greater than or equal to 0 (there can't be any negatives!)
8 - .5t ≥ 0.
8 ≥ .5t
t ≤ 16
D.
2. 4(2x-1) = 2x + 35
8x - 4 = 2x + 35
6x = 39
x = 6.5
H.
3. c = .8(x-15) = .8x-12
A.
4. m = number of marble cupcakes
s = number of strawberry shortcake cupcakes
6m + 8.5s = 391
m = 1/2s
6(.5s)+8.5s = 391
11.5s = 391
s = 34
m = 17
F.
5. B
6. Use substitution
2x + 3x = 10
5x = 10
x = 2
7. (sorry I'm not sure!)
8. G
9. L = number of balls
B = number of bats
L + B = 100
B = 100 - L
4.5L+20B = 822
4.5L + 20(100-L) = 822
4.5L -20L + 2000 = 822
1178 = 15.5L
L = 76
10. J
Continuous compounding is the mathematical limit that compound interest can reach.
It is the limit of the function A(1 + 1/n) ^ n as n approaches infinity. IN theory interest is added to the initial amount A every infinitesimally small instant.
The limit of (1 + 1/n)^n is the number e ( = 2.718281828 to 9 dec places).
Say we invest $1000 at daily compounding at yearly interest of 2 %. After 1 year the $1000 will increase to:-
1000 ( 1 + 0.02/365)^365 = $1020.20
with continuous compounding this will be
1000 * e^1 = $2718.28
Step-by-step explanation:
1st term =4×2(1-1)=0
2nd term=4×2(2-1)=8
3rd term=4×2(3-1)=16
4th term=4×2(4-1)=24
Answer:
It will cost $6 to buy enough lemons.
Step-by-step explanation:
Consider the provided information.
To make a 9-inch lemon pie requiring 1/2 cup of lemon juice.
1 cup = 16 tablespoons
1/2 cup = 8 tablespoons
That means we only need 8 tablespoons.
Each lemon yields 2 tablespoons of lemon juice.
Number of lemon required = 8 ÷ 2 = 4
That means we need only 4 lemon.
Store is selling lemons at 2 for $3 that means 4 lemons for $6.
Hence, it will cost $6 to buy enough lemons.
