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yulyashka [42]
3 years ago
14

7. The value of a computer has a decay factor of 0.85 per year. After 2 years, the computer is worth $1445. What was the origina

l value of the computer?
Mathematics
2 answers:
Readme [11.4K]3 years ago
7 0

Answer:

$64222.22

Step-by-step explanation:

If we call the original value as x, we can write:

1445 = x * (0.15)²   (Note: We write 1 - 0.85 = 0.15 and not 0.85 because 0.85 is the decay factor)

1445 = 0.0225x

x ≈ 64222.22

ziro4ka [17]3 years ago
6 0

Answer:

<h2>$ 2000</h2>

Step-by-step explanation:

Let the original value be $ X

Decay factor = 0.85

Time = 2 years

Reduced value = $ 1445

Now,

Reduced value = original value * (decay){}^{number \: of \: years}

Plug the values

1445  = x  \times  {(0.85)}^{2}

Evaluate the power

1445 = x \times 0.7225

x =  \frac{1445}{0.7225}

Calculate

x = 2000

Hope this helps...

Best regards!!

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Y is directly proportional to x when y=30, x=6
rosijanka [135]

Answer:

a) y = 5x

b) y = 60

Step-by-step explanation:

Since, y is directly proportional to x when y=30, x=6

\therefore \:  y \:  \alpha \:  \: x \\ \therefore \:  y =  kx ...(1) \\ plug \: y = 30 \: and \: x = 6  \: in \: eq \: (1)\\ 30 = k \times 6 \\ k =  \frac{30}{6}  \\ k = 5 \\ plug \: k = 5 \: in \: (1) \\ y = 5x....(2) \: (required \: equation) \\ plug \: x = 12 \: in \: eq \: (2) \\ y = 5 \times 12 \\  \huge \red{ \boxed{y = 60}}

4 0
3 years ago
6.81 is what percent of 45.5
frosja888 [35]

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 45.5 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 45.5 is 100%, so we can write it down as 45.5=100%.

4. We know, that x is 6.81% of the output value, so we can write it down as x=6.81%.

5. Now we have two simple equations:

1) 45.5=100%

2) x=6.81%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

45.5/x=100%/6.81%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.


7. Solution for what is 6.81% of 45.5


45.5/x=100/6.81

(45.5/x)*x=(100/6.81)*x       - we multiply both sides of the equation by x

45.5=14.684287812041*x       - we divide both sides of the equation by (14.684287812041) to get x

45.5/14.684287812041=x

3.09855=x

x=3.09855

now we have:

6.81% of 45.5=3.09855

Hope this helps!

4 0
3 years ago
Read 2 more answers
3.) You deposited $5,000 in an account that pays 4% annual interest. Find the
Maurinko [17]

The balance after one year is $5200

Step-by-step explanation:

The formula to apply here is

A=P(1+\frac{r}{n} )^{nt}

where

A=Amount of money  at the end of the period=?

P=the amount of money invested= $5000

r=rate of interest=4%=0.04

n=number of compounding per year=1

t=time in years=1

Applying  the formula

A=P(1+\frac{r}{n} )^{nt} \\\\\\A=5000(1+\frac{0.04}{1} )^{1} \\\\\\A=5000(1.04)\\\\A=5200

A=$5200

Learn More

Compound Interest: brainly.com/question/12148233

Keywords : interest, compounded annually

#learnwithbrainly

6 0
4 years ago
Hot air balloon travels 18 miles in 3 hour. At this rate how many miles will the hot air balloon travel in 3/4 hour?
seropon [69]
You can figure out how many miles per hour it travels by dividing 18/3. This gives us the answer of 6. 3/4 = 0.75 so we can multiply 6 * 0.75 to get 4.5 as our final answer. It will travel 4.5 miles in 3/4 of an hour.
5 0
3 years ago
5, if r = 3?<br> what is the answer
Papessa [141]

Answer:

8

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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