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2 years ago

Initial Knowledge Check

Mathematics

1 answer:

Anna [14]2 years ago

5 0

Answer:

becos i know UwU

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The value of a car decreases about 7% percent each year after it is manufactured.The 2017 Honda Civic costs $19,540

Kitty [74]

Answer: a) , where 'A' is the value of car after 't' years.

b) $12446.784

Step-by-step explanation:

Given: A new car that sells for $21,000 depreciates (decreases in value) 16% each year.

Then a function that models the value of the car will be

, where 'P' is the selling price of car, 'r' is the rate of depreciation in decimal, 't' is the time in years and 'A' is the value of car after 't' years.

Thus after substituting given value, the function becomes

To find the value after 3 years, substitute t=3 in the above function.

Hence the value of car after 3 years=$12446.784

5 0

3 years ago

PLEASE PLEASE HELP

marta [7]

Answer:

Approximately 3 grams left.

Step-by-step explanation:

We will utilize the standard form of an exponential function, given by:

$f(t)=a(r)^t$

In the case of half-life, our rate r will be 1/2. This is because 1/2 or 50% will be left after t half-lives.

Our initial amount a is 185 grams.

So, by substitution, we have:

$\displaystyle f(t)=185\big(\frac{1}{2}\big)^t$

Where f(t) denotes the amount of grams left after t half-lives.

We want to find the amount left after 6 half-lives. Therefore, t = 6. Then using our function, we acquire:

$\displaystyle f(6)=185\big(\frac{1}{2}\big)^6$

Evaluate:

$\displaystyle f(6)=185\big(\frac{1}{64}\big)\approx2.89\approx 3$

So, after six half-lives, there will be approximately 3 grams left.

3 0

2 years ago

Find A ∩ B if A = {4, 7, 10, 13, 17} and B = {3, 5, 7, 9}.

Korvikt [17]

Their intersection is 7 because is you look at the coordinates of both A and B they have 7 in common

8 0

3 years ago

Question 4

skelet666 [1.2K]

Answer:

See explanation

Step-by-step explanation:

You forgot to give the coordinates of C.

Note that, the mapping for 90° clockwise rotation around the origin is given by:

$(x,y)\to (-y,x)$

Assuming the coordinates of C were (-6,6), then the coordinates of C after a 90° clockwise rotation

around the origin is (-6,-6)

8 0

3 years ago

#5 A pair of jeans was 30% off the

just olya [345]

Answer:

Step-by-step explanation:

8 0

3 years ago