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grin007 [14]
3 years ago
8

A group of friends were working on a student film that had a budget of $1500. They used $1200 of their budget on costumes. What

percentage of their total budget did they spend on costumes?
Mathematics
1 answer:
hodyreva [135]3 years ago
8 0

Answer:

80%

Step-by-step explanation:

1200/1500

12/15 = 0.8

80%

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For the function f(t) = Pe^rt, if P= 3 and r = 0.03 what is the value of f(3) to the nearest tenth? A: 2.5 B: 3.3 C: 7.4 D: 1.1
galben [10]
B, You plug in the numbers like 3e^(3*.03) for 3.3
5 0
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Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x – 10? Sel
dolphi86 [110]

Answer:

That would be :

 4x – 10 = x2 – 5x + 10  ( y = 4x - 10 is substitute for y)

 PROOF:        y + 5x = x² + 10

                     (4x - 10) + 5x = x² + 10

                      4x - 10  =  x² -5x + 10

    0 = x2 – 9x + 20  (liked terms are grouped and simplified)

PROOF:      4x - 10  =  x² -5x + 10

                   4x = x² -5x + 10 + 10

                    0  = x² -5x -4x + 20

                    0  = x² - 9x + 20

Solving:

             x² - 9x + 20 = 0 

             x² - 5x - 4x + 20 = 0

             (x - 5) (x - 4)  = 0

          ⇒ x = 4  (as question says) OR x = 5

Step-by-step explanation:

hope this helps

8 0
3 years ago
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Which of these graphs represents a function ?
ddd [48]

Answer:

Graph C

Step-by-step explanation:

6 0
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How many shares of Lombard Incorporated traded on the 17th?
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Answer:

Step-by-step explanation:

8 0
3 years ago
If sin θ = 2 over 7 and tan θ > 0, what is the value of cos θ?
sashaice [31]
\bf sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad
cos(\theta)=\cfrac{adjacent}{hypotenuse}
\quad 
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}\\\\
-------------------------------\\\\

\bf sin(\theta )=\cfrac{2}{7}\cfrac{\leftarrow opposite}{\leftarrow hypotenuse}\qquad \textit{let's find the adjacent side}
\\\\\\
\textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
\pm\sqrt{7^2-2^2}=a\implies \pm\sqrt{45}=a\implies \pm 3\sqrt{5}=a

but.... which is it? the + or the -? well, we know that  tan(θ) > 0, is another way to say that the tangent of the angle is positive, now, for the tangent to be positive, since it's opposite/adjacent both opposite and adjacent have to be the same exact sign, now, we know the opposite is +2, so that means the adjacent has to be the same sign, thus is the positive version 3√(5)

thus   \bf cos(\theta)=\cfrac{adjacent}{hypotenuse}\qquad \qquad cos(\theta )=\cfrac{3\sqrt{5}}{7}
3 0
4 years ago
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