Devon purchased a new car valued at $16,000 that depreciated continuously at a rate of 35%. Its current value is $2,000. The equation mc025-1. Jpg represents the situation, where t is the age of the car in years and r is the rate of depreciation. About how old is Devon’s car? Use a calculator and round your answer to the nearest whole number. 1 year 2 years 5 years 8 years.

Answers

Answer 1

Answer:

The age of the car that Devon purchased is given by: Option C: 5 years

How to calculate compound interest's amount?

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

$CI = P(1 +(R)/(100))^T - P$

The final amount becomes:

$A = CI + P\nA = P(1 +(R)/(100))^T$

We can use compound interest's formula (with a bit modification if necessary) whenever there is compounding on a base amount on some fixed rate for some time.

For this case, there is decrement happening, so rate can be taken negative. Thus, we take:

R = -35%

Let the car is T years old.

Then, as we have: Initial price of the car = P = $16000, and the final price of the car = A = $2000, thus, we get:

$A = P(1 +(R)/(100))^T\n\n2000 = 16000(1 + (-35/100) )^T\n1/8 = (1-0.35)^T\n0.125 = 0.65^T\n\nT = log_(0.65)(0.125)\nT \approx 4.827 \approx 5 \text{ (in years) }$

Thus, the age of the car that Devon purchased is given by: Option C: 5 years

Learn more about compound interest here:

brainly.com/question/11897800

Answer 2

Answer:

Answer:

C 5 years

Step-by-step explanation:

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What is 312% of 10.5 ?

Answers

312 % of 10.5=(312 / 100) (10.5)=(312*10.5) / 100=3276/100=32.76

or:

312% of 10.5=3.12 (10.5)=32.76

Answer: 312% of 10.5 is 32.76.

Solve for x. 1/2 + x = 5/6

Answers

Firstly, move the real numbers to one side

1/2+ x=5/6

x=5/6 -1/2

x= 1/3( l.c.m is 6)

Hope it works out

The sum of a number and twice the second number is 24. Determine the two numbers to maximize their product. Show your work (equations, calculations, etc.) If it is easier to describe in detail what you did rather than show something (such as using your calculator), you may do so.

Answers

The sum of a number and the second number is 24.
$a+2b=24$

We want to find the maximum product of $ab$ .

Let's solve our first equation for a.
$a=24-2b$

We can substitute this in $p=ab$ so that we only have one variable.
$ab=(24-2b)b$

Distribute.
$p=-2b^2+24b$

Now we can just find the vertex of this quadratic, either putting it or vertex form or using a shortcut mentioned later. (if your teacher has already explained it to you)

Put the constant on the left side. (It's 0, so nothing to do there)

Factor out the coefficient of b².
$p=-2(b^2-12b)$

Find which number to add to create a perfect square trinomial.
(half of -12 is -6, -6² = 36. we would add -72 to each side, so that 36 ends up inside the parentheses on the right side)
$p-72=-2(b^2-12b+36)$

Factor the perfect square trinomial.
$p-72=-2(b-6)^2$

Isolate the p term.
$72=-2(b-6)^2+72$

The vertex is (6, 72), as vertex form is y=a(x-h)²+k where (h, k) is the vertex.
Therefore, the value of b which yields the height product p is 6.
We can plug this into a previous equation to find a.
a + 2b = 24
a + 2(6) = 24
a + 12 = 24
a = 12

a = 12, b = 6

(The shortcut I was talking about is that for any quadratic f(x) = ax² + bx + c, the vertex (h, k) is (-b/2a, f(h)))

Answer:

The total length of Valerie’s walls is 105.75 feet:

(2.5 × 4) + (21.25 × 3) + 32 = 10 + 63.75 + 32 = 105.75 feet.

The total length of Seth’s walls is 107 feet:

3.5 + (22.75 × 2) + 58 = 3.5 + 45.5 + 58 = 107 feet.

The sum of 105.75 feet and 107 feet is 212.75 feet. The Commutative Property allows me to add numbers in any order. This is why the answers in parts D and E match.

Step-by-step explanation:

If your on PLATO this is the answer

Evaluate y⁵ for y = 1.

● 1
● 5
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Answers

Answer:

Step-by-step explanation:

if y = 1 then $y^(5) = 1 . 1 . 1. 1.1 = 1$

Answer: 1

Step-by-step explanation:

its just 1 because you just multiplied 1 by1 5 times

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Answers

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Answers

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