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ExtremeBDS [4]
3 years ago
15

How do you solve -h/3 - 4 = 13

Mathematics
1 answer:
Phantasy [73]3 years ago
8 0
Answer is -h = -51 (download photomath)

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Marina86 [1]

Answer:

what

Step-by-step explanation:

what

8 0
2 years ago
You purchase a stereo system for $830. The value of the stereo system decreases 13% each year. a. Write an exponential decay mod
lorasvet [3.4K]

Answer:

a. y=830*(0.87)^x

b. The value of stereo system after 2 years will be $628.23.

c. After approximately 4.98 years the stereo will be worth half the original value.

Step-by-step explanation:

Let x be the number of years.

We have been given that you purchased a stereo system for $830. The value of the stereo system decreases 13% each year.

a. Since we know that an exponential function is in form: y=a*b^x, where,

a = Initial value,

b = For decay b is in form (1-r), where r is rate in decimal form.

Let us convert our given rate in decimal form.

13\%=\frac{13}{100}=0.13

Upon substituting our given values in exponential decay function we will get

y=830*(1-0.13)^x

y=830*(0.87)^x

Therefore, the exponential model y=830*(0.87)^x represents the value of the stereo system in terms of the number of years since the purchase.

b. To find the value of stereo system after 2 years we will substitute x=2 in our model.

y=830*(0.87)^2

y=830*0.7569

y=628.227\approx 628.23

Therefore, the value of stereo system after 2 years will be $628.23.

c. The half of the original price will be \frac{830}{2}=415.

Let us substitute y=415 in our model to find the time it will take the stereo to be worth half the original value.

415=830*(0.87)^x

Upon dividing both sides of our equation by 830 we will get,

\frac{415}{830}=\frac{830*(0.87)^x}{830}

0.5=0.87^x

Let us take natural log of both sides of our equation.

ln(0.5)=ln(0.87^x)

Using natural log property ln(a^b)=b*ln(a) we will get,

ln(0.5)=x*ln(0.87)

\frac{ln(0.5)}{ln(0.87)}=\frac{x*ln(0.87)}{ln(0.87)}

\frac{ln(0.5)}{ln(0.87)}=x

\frac{-0.6931471805599}{-0.139262067}=x

x=4.977286\approx 4.98

Therefore, after approximately 4.98 years the stereo will be worth half the original value.

5 0
3 years ago
Sally purchased a Pokemon game for $10.50, and a racing game for $6.50 with a $20 bill. How much change did Sally get?
pantera1 [17]

Answer:

$3

Step-by-step explanation:

1. Add the total of the price. 10.50+6.50=17 The total of the items cost $17.

2. Subtract the cost from the amount you are paying. 20-17=3 Sally gets $3 of change.

7 0
3 years ago
Read 2 more answers
Fitness instructor recommend a workout of both cardio and strength at a ratio of 7:4 minutes how many minutes of cardio would be
Nadusha1986 [10]
4x = 20 min
7x = y min

x = 20 / 4
x = 5 min

7*5 = 35 min
3 0
3 years ago
Read 2 more answers
Can't figure out how to set this up
emmainna [20.7K]

Answer: The point values were chosen to give the desired relative weight between a free throw (1 point), a field goal (2 points), and a three-point goal (3 points). Originally, when Dr. James Naismith invented the game of basketball in 1891, goals were worth one point each

Step-by-step explanation:

7 0
3 years ago
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