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CaHeK987 [17]
3 years ago
8

original price of a calendar: $14.50 discount: 30% find the new price for the item after the discount

Mathematics
2 answers:
tigry1 [53]3 years ago
5 0
Here, Original price = $14.50
Discount = 30%

Now, Amount of discount = 14.50*0.30 = $4.35

So, price after discount would be: $14.50 - $4.35 = $10.15

Your answer is $10.15

Hope this helps!
sergeinik [125]3 years ago
4 0
First find 30% of $14.50

= 30/100 x 14.50
=$4.35

Than take away $4.35 away from $14.50
=14.50 - 4.35
=$10.15

Therefore the new price is $10.15


:)
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vredina [299]
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3 years ago
A right triangle has leg measures of 8 and 15 inches. What is the area and perimeter of the triangle?
rewona [7]

Hello!

<h3><em><u>Answer</u></em></h3>

The area of the right triangle is 30 in^{2}. The perimeter is 40 in.


<h3><em><u>Explanation</u></em></h3>

First, we must find the measure of the hypotenuse of the triangle by using the Pythagorean Theorem.

a^{2} + b^{2} = c^{2}

8^{2} + 15^{2} = c^{2}

64 + 225 = c^{2}

√289 = c^{2}

17 = c

Now that we have all the side lengths, we can use the formulas to find the area and perimeter.

<h3>AREA:</h3>

A = \frac{bh}{2}

A = (15 × 8) ÷ 2

A = 30

<h3>PERIMETER:</h3>

P = a + b + c

P = 8 + 15 + 17

P = 40


8 0
3 years ago
The height h of a projectile is a function of the time t it is in the air. the height in feet for t seconds is given by the func
alexgriva [62]

Domain means the values of independent variable(input) which will give defined output to the function.

Given:

The height h of a projectile is a function of the time t it is in the air. The height in feet for t seconds is given by the function

h(t)=-16t^2 + 96t

Solution:

To get defined output, the height h(t) need to be greater than or equal to zero. We need to set up an inequality and solve it to find the domain values.

To \; find \; domain:\\\\h(t) \geq0\\\\-16t^2+96t \geq  0\\Factoring \; -16t \; in \; the \; left \; side \; of \; the \; inequality\\\\-16t(t-6) \geq  0\\Step \; 1: Find \; Boundary \; Points \; by \; setting \; up \; above \; inequality \; to \; zero.\\\\t(t-6)=0\\Use \; zero \; factor \; property \; to \; solve\\\\t=0 \; (or) \; t = 6\\\\Step \; 2: \; List \; the \; possible  \; solution \; interval \; using \; boundary \; points\\(- \infty,0], \; [0, 6], \& [6, \infty)

Step \; 3:Pick \; test \; point \; from \; each \; interval \; to \; check \; whether \\\; makes \; the \; inequality \; TRUE \; or \; FALSE\\\\When \; t = -1\\-16(-1)(-1-6) \geq  0\\-112 \geq  0 \; FALSE\\(-\infty, 0] \; is \; not \; solution\\Also \; Logically \; time \; t \; cannot \; be \; negative\\\\When \; t = 1\\-16(1)(1-6) \geq  0\\80 \geq  0 \; TRUE\\ \; [0, 6] \; is \; a \; solution\\\\When \; t = 7\\-16(7)(7-6) \geq  0\\-112 \geq  0 \; FALSE\\ \; [6, -\infty) \; is \; not \; solution

Conclusion:

The domain of the function is the time in between 0 to 6 seconds

0 \leq  t \leq  6

The height will be positive in the above interval.

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Answer:

Step-by-step explanation:

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