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nalin [4]
3 years ago
15

The price of a cup of coffee was $2.35 yesterday. Today, the price fell to $2.10. Find the percentage decrease. Round your answe

r to the nearest tenth of a percent.
Mathematics
1 answer:
Readme [11.4K]3 years ago
7 0

Answer:

  10.6% decrease

Step-by-step explanation:

The percentage change in a quantity is computed using ...

  percentage change = ((new value)/(old value) -1) × 100%

  = (2.10/2.35 -1) × 100%

  = (0.8936 -1) × 100%

  = -.1064 × 100%

  = -10.64%

The percentage decrease was about 10.6%.

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To measure the height of a tree, a surveyor walked a short distance from the tree and found the angle of elevation was 43.9°, th
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Answer:

The height of the tree is H = 77.06 m

Step-by-step explanation:

From Δ ABC

AB = height of the tree

\tan 43.9 = \frac{AB}{BC}

\tan 43.9 = \frac{h}{x}

h = 0.9623 x ------- (1)

From Δ ABD

\tan 37.6 = \frac{h}{20+ x}

h = 0.77 (x + 20) ----- (2)

Equating Equation  1 & 2 we get

0.9623 x =  0.77 (x + 20)

0.9623 x = 0.77 x + 15.4

x (0.1923) = 15.4

x = 80.08 m

Thus the height of the tree is given by

H = 0.9623 x

H = 0.9623 × 80.08

H = 77.06 m

Therefore the height of the tree is H = 77.06 m

4 0
3 years ago
Given f(x)=4x^2−5 and g(x)=x+3 . What is (fg)(x) ?
zmey [24]
(fg)(x)=f(g(x))=4(g(x))²-5=4(x+3)²-5=4x²+24x+31
4 0
3 years ago
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3b-2a <br>Need help on assignment ​
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Solution:

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Answer AND Step-by-step explanation:

Everything is in the picture.

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

<em><u></u></em>

<em><u></u></em>

<u>The equation is:</u>

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3 years ago
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