Answer:
$690.86
Step-by-step explanation:
100% from the original cost is: 2 x 863.57 = $1,727.14
40/100 = X/1727.14 (40 percent is what of 1,727.40) (%/100 = is/of)
(40 * 1,727.14) / 100 = $ 690.86
Answer:
18
Step-by-step explanation:
f(x) = 2(1/3)^x
[x = -2]
f(-2) = 2(1/3)⁻²
= 2(9)
= 18
Answer:
45231 = 
Step-by-step explanation:
Given the number:
45,231
We have To write the given number in the expanded form.
Solution:
First of all, let us write the different digits of the number:
Unit's digit = 1
Ten's digit = 3
Hundred's digit = 2
Thousand's digit = 5
Ten thousand's digit = 4
Unit's digit has to be multiplied with 1.
Ten's digit has to be multiplied with 10.
Hundred's digit has to be multiplied with 100.
Thousand's digit has to be multiplied with 1000.
Ten Thousand's digit has to be multiplied with 10000.
And then they have to be added so that the number gets formed.
45231 = 
Answer:
18 weeks
Step-by-step explanation:
In this question, we are asked to use an equation to show the number of weeks it took Hugo who received a certain amount in his birthday and continually saved a certain amount before he could gather a certain amount of money.
In this question, we understand that Hugo wants to buy a printer that costs $460. Fortunately, he had his birthday and he received $100 bucks. Now, let’s say the number of weeks he had to save for is w and he saves 20 per week. This means the total amount he hit from his savings would be 20w
Mathematically, we can use the equation below to model this scenario;
100 + 20(w) = 460
20w = 460 - 100
20w = 360
w = 360/20
w = 18 weeks
Given:
Initial mass, m₀ = 23 g
Decay constant, k = 0.13
Exponential decay obeys the equation

where t = time, days
For half life, the mass is m = m₀/2.
Therefore

Answer: The half life is 5.33 days