Hey there!
When the value of something goes down over time- a house, a car, anything- it's called depreciation.
It would be expressed as exponential decay. This is because the value is going down exponentially as stated in the problem. Additionally, when it decays, the growth factor is less than one, so the value steadily decreases.
Let's rule out our other options:
B) Half-Life. This doesn't work because it's usually used for radioactive decay, which is usually a steady decrease of radioactivity and material that divides by two, hence the word half. For example:
Day 0) Started with 10 grams of plutonium
Day 1) 5 grams
Day 2) 2.5 grams
And so on.
C) Compound Interest. Like simple interest, but compunds usually at a certain point - yearly, monthly, every ten years, and so on. But, this is used for interest, mostly in a bank account or if you have a loan. It doesn't exhibit depreciation, and therefore it's not used to predict car value.
D) Exponential Growth- Exponential growth does not work for one main reason - it grows. That would mean that the value of the car goes up- and unless it's an old and very expensive car, that wouldn't be the case.
Hope this helps!
Therefore the reminder is 3 when 5n is divided by 7.
Step-by-step explanation:
we know that
Dividend = quotient × Divisor +Reminder
⇔ n = Q(n) × 7 + 2 [ let Q(n) is quotient]
multiplying by 5 both sides
5n = 5 Q(n) ×7 + 2×5
⇔5n = 5 Q(n) ×7 +10
⇔5n= 5 Q(n) ×7 +7 +3
⇔ 5n = (5Q(n) +1) × 7 +3
Therefore the reminder is 3 when 5n is divided by 7.
The potential energy, E, of the penny is given by E=mgh. The energy, Q, required to raise the temperature of an object by an amount ΔT is given by Q=mcΔT. We can equate these two to get the result but we must use proper units and include the 60%:
(0.6)mgh=mcΔT
We see we can divide out the mass from each side
0.6gh=cΔT, then 0.6gh/c=ΔT
(0.6)9.81(m/s²)50m/385(J/kg°C) = 0.7644°C
since this is the change in temperature and it started at 25°C we get
T=25.7644°C
As you can see the result does not depend on mass. The more massive the copper object the more potential energy it will have to contribute to the heat energy, but the more stuff there will be to heat up, and the effect is that the mass cancels.
Answer:
9/20
Step-by-step explanation:
First, turn the fractions into decimals then divide them and you get .45.
Find .45 in a fraction and it's 9/20. That's its simplest form.
Answer:
No
Step-by-step explanation:
Relatively prime means that the only common factor the 2 numbers share is 1
factors of 16 are 1, 2, 4, 8, 16
factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40
common factors are 1, 2, 4, 8
Hence 16 and 40 are not relatively prime
