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katen-ka-za [31]
2 years ago
9

The floor plan of a proposed auditorium shows a stage that measures 1.75 inches in width. The scale of the floor plan is 1in. =

18 ft. What is the width of the proposal stage?​

Mathematics
1 answer:
Darya [45]2 years ago
6 0
Can you make the picture more clear
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A young couple purchases their first new home in 2002 for $120,000. They sell it to move into bigger home in 2007 for $150,000.
Fed [463]

Answer:

The exponential model for the value of the home is V(t)=120000e^{0.045t}.

Step-by-step explanation:

According to the give information 2002 is the initial year and the value of the hom in 2002 is $120,000.

The model will have the form

V(t)=V_0e^{kt}

Where V₀ is initial value of home, k is a constant and t is number f years after 2002.

V(t)=120000e^{kt}

The value of home in 2007 is $150,000. Difference between 2007 and 2002 is 5 years. Therefore the value of function is 150000 at t=5.

150000=120000e^{k(5)}

\frac{150000}{120000}=e^{5k}

\frac{5}{4}=e^{5k}

Take ln both sides.

ln(\frac{5}{4})=lne^{5k}

ln(\frac{5}{4})=5k                    (lne^a=a)

\frac{ln(\frac{5}{4})}{5}=k

k=0.04462871\approx 0.045

Therefore exponential model for the value of the home is V(t)=120000e^{0.045t}.

Where t is number of years after 2002.

7 0
2 years ago
Read 2 more answers
T-shirts and More Print Shop will print any image on a mouse pad for a cost of $2 per mouse pad and a one-time charge of $12 to
SpyIntel [72]

Answer: 275

Step-by-step explanation:

7 0
2 years ago
What is the decibel level of the sound of a ticking clock with intensity 10−9 watts per square inch? Use a logarithmic model to
In-s [12.5K]

Answer:

β = (-0.19 dB).

Step-by-step explanation:

The formula which is used to calculate the decibel level of a sound is given by :

\beta=10\log (\dfrac{I}{I_o})

I is intensity of the sound of a ticking clock

I_o=10^{-12}\ watts per square meter

Since, 1\ \text{inch}^2=\dfrac{1}{1550}\ \text{m}^2

The intensity of a monster truck is converted into per square meter as follows:  

10^{-9}\ {W/in^2}=   \dfrac{10^{-9}}{1550}\ W/m^2\\\\10^{-9}\ {W/in^2}=6.45\times 10^{-13}\ W/m^2

So, Decibal level is :

\beta=10\log (\dfrac{6.45\times 10^{-13}}{10^{-12}})\\\\\beta =-0.19\ dB

So, the decibel level of the sound of a ticking clock is (-0.19 dB).

7 0
2 years ago
Read 2 more answers
Which of the following explains how ΔAEI could be proven similar to ΔDEH using the AA similarity postulate?
umka2103 [35]

Answer:

∠AEI ≅ ∠DEH because vertical angles are congruent; rotate ΔHED 180° around point E, then translate point D to point A to confirm ∠IAE ≅ ∠HDE.

Step-by-step explanation:

tbh im not suuper sure but my educated guess is that by looking at it. Good Luck!

4 0
2 years ago
Help pls help plz help plz
ratelena [41]

Answer:

8

Step-by-step explanation:

(4+8)+6 = (6+4)+n

18 = 10+n

18-10 = n

n = 8

7 0
2 years ago
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