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Sever21 [200]
3 years ago
7

Dominic bought a new alarm clock that was on sale for $18.75. If this price represents a 30% discount from the original price, w

hat is the original price to the nearest cent?
Mathematics
1 answer:
Orlov [11]3 years ago
6 0
P - 0.30= $18.75


18.75 + 0.30 = p


$19.05 = p


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Find the surface area of the cube (above) using its net (below).
lana66690 [7]

\mathsf \green{ {96 \: units}^{2} }

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2 years ago
in 2009 a total of R36 000 was invested in two accounts. One account earned 7% annual interest and the other earned 9% .The tota
Akimi4 [234]

a = amount invested at 7%

b = amount invested at 9%

we know the amount invested was ₹36000, thus we know that whatever "a" and "b" are, a + b = 36000.  We can also say that

\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7\% of a}}{\left( \cfrac{7}{100} \right)a}\implies 0.07a~\hfill \stackrel{\textit{9\% of b}}{\left( \cfrac{7}{100} \right)b}\implies 0.09b

since we know the interest earned from the invested was ₹2920, then we say that 0.07a + 0.09b = 2920.

\begin{cases} a + b = 36000\\\\ 0.07a+0.09b=2920 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{using the 1st equation}}{a + b = 36000\implies \underline{b = 36000-a}}~\hfill \stackrel{\textit{substituting on the 2nd equation}}{0.07a~~ + ~~0.09(\underline{36000-a})~~ = ~~2920} \\\\\\ 0.07a+3240-0.09a=2920\implies 3240-0.02a=2920\implies -0.02a=-320 \\\\\\ a=\cfrac{-320}{-0.02}\implies \boxed{a=16000}~\hfill \boxed{\stackrel{36000~~ - ~~16000}{20000=b}}

5 0
2 years ago
Kimberly was making chocolate chip cookies for the bake sale. The recipe she was using called for 3/4 of a cup of chocolate chip
hram777 [196]
15 recipes of cookies
6 0
3 years ago
One of the Same side angles of two parallel lines is 60° greater than the other. Find the two angles.
BARSIC [14]

Answer:

60,120

Step-by-step explanation:

We know that angles on the same side of the transversal always add up to 180 ( are supplementary)

Hence, taking one of the angles as x we get,

x+(60+x)=180

2x+60=180

2x=120

x=60

Hence, one angle is 60 degrees while the other 120 degrees

4 0
3 years ago
The function f(x) = (x - 4)(x - 2) is shown.
agasfer [191]

Answer:

all real numbers greater than or equal to -1

Step-by-step explanation:

In order to solve this problem we need to know the vertex and the direction its pointing.

First we expand,

x^2-6x+8

To find the x value of the vertex we use this formula (-b/2a).

-(-6)/2(1) = 3

Now we plug 3 in the equation to get the y value,

(3)^2 - 6(3) + 8 = 9 - 18 + 8 = -1

The vertex is (3,-1)

We know the graph points up because x^2 is positive

The vertex is the lowest point, so we now know that -1 is the starting range and if the graph is pointing up, that means all values greater than -1.

This leads to our answer all real numbers greater than or equal to -1.

6 0
3 years ago
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