Answer:
- a) P(x) = 32000*1.04^x
- b) $37435
- c) During year 7
Step-by-step explanation:
<u>Given</u>
- Initial pay = $32000
- Increase rate = 4%
a. <u>Formula</u>
b. Year 5 is after 4 years, so we are looking for the value of P(4)
- P(4) = $32000*1.04^4 = $37435
c. <u>P(x) = 40000, x = ?</u>
- 40000 = 32000*1.04^x
- 1.04^x = 40000/32000
- 1.04^x = 1.25
- log 1.04^x = log 1.25
- x = log 1.25 / log 1.04
- x = 5.69, this is 6 years after
The required number of the years is 6 + 1 = 7
Answer:
1) Subtracting one from the other
2) x = 0.375 and y = 0.125
Step-by-step explanation:
Equation 1 :

Equation 2:

To solve these equations by the Elimination method we multiply equation 1 with 6 and multiply equation 2 with 2 so now,

Now for the second equation:

Now subtracting equation 2 from equation 1

now insert this value of y into any equation
lets insert it into equation 1

<span>(a) What is the capacity of the container?
Volume = length * width * height
V = 4ft * 2ft * 3ft
V = 24 ft</span>³
<span>
(b) How much material was used to make the container?
Surface area = sum of 6 faces of the prism
4 ft x 3 ft = 12 ft</span>² → 12 ft² x 2 = 24 ft²
<span>4 ft x 2 ft = 8 ft</span>² → 8 ft² x 2 = 16 ft²
<span>2 ft x 3 ft = 6 ft</span>² → 6 ft² x 2 = 12 ft²
<span>
Surface area = 24 ft</span>² + 16 ft² + 12 ft² = 52 ft²<span>
</span>
$260
I don’t know what model/formula you are supposed to be using.
But what I did first was calculated what 30% of 2700$ is.
2700 x .3 = 810
So it depreciates $810 per year.
$810 x. 3 years = 2430
2700 - 2430 = 260
In three years, the laptop will be worth $260
I think the answer is 8,100,000