MATHEMATICS HIGH SCHOOL

You want to buy a used car for $8,648.00 plus 4.7% sales tax. You want to make a 5% down payment. How much is your down payment? My answer is $452.72. Can someone tell me if it's correct?

Answers

Answer 1

Answer:

Answer:

The down payment is $ 452.72 (approx).

Step-by-step explanation:

Given,

The original price of the car = $8,648.00

Sales tax = 4.7%,

So, the final price of the car = (100+4.7)% of the original price

= 104.7% of $ 8,648.00

$=(104.7* 8648.00)/(100)$

$=(905445.6)/(100)$

$=\$ 9054.456$

Now, the percentage of down payment = 5 %,

Hence, the amount of down payment = 5 % of the final price

= 5 % of $ 9054.456

$=(5* 9054.456)/(100)$

$=(45272.28)/(100)$

$=\$ 452.7228\approx \$ 452.72$

Answer 2

Answer: That's the answer I got!

8648 * .047 = 406.456

406.456 + 8648 = 9054.456

9054.456 * .05 = 452.72!

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The range of the function f(k) = k2 + 2k + 1 is {25, 64}. What is the function’s domain?{5, 8}
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Answers

Answer:

Hence, the domain of the function is:

{4,7}

Step-by-step explanation:

We are given the range of the function:

$f(k)=k^2+2k+1$ as {25,16}

The function f(k) could also be written as:

$f(k)=k^2+2k+1=k^2+k+k+1\n\nf(k)=k(k+1)+1(k+1)\n\nf(k)=(k+1)(k+1)\n\nf(k)=(k+1)^2$

The range is the value of the function at some k.

if f(k)=25 then we have to find the value of k.

$f(k)=25=5^2=(k+1)^2$

on taking square root on both side we have:

$k+1=5\n\nk=5-1\n\nk=4$

if f(k)=64 then we have to find the value of k.

$f(k)=64=8^2=(k+1)^2$

on taking square root on both side we have:

$k+1=8\n\nk=8-1\n\nk=7$

Hence, the domain of the function is:

{4,7}

The domain of a function contains the x-values of the function while the range of the function contains the y-values of the function. In this case, we substitute 25 and 64 to y. Then,
25 = k2 + 2 k + 1 (k-4) * (k+6) = 0
64 = k2 + 2 k + 1 (k-7) * (k+9) = 0
hence the domain is {-9,-6, 4,7}

Rewrite using a negative exponent.

5/x^2

Answers

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John is going to invest $820 and leave it in an account for 19 years. Assuming the interest is compounded quarterly, what interest rate, to the nearest tenth of a percent, would be required in order for John to end up with $1,830?

Answers

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Answers

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The corner of a rectangle is cut, creating a right trapezoid. What is the value of x? 105o 115o 125o 135o

Answers

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You can figure this out easily by extending the top and bottom sides of the trapezoid, and finding supplementary / corresponding angles.

First, look at the top. We know that supplementary angles add up to 180 degrees (or form a straight line), so subtract 180 - 45 to get 135 degrees.

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Answer:

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Step-by-step explanation:

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