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Yanka [14]
2 years ago
10

How long is a distance of 8 km if measured on a map with a scale of 1:50,000

Mathematics
1 answer:
quester [9]2 years ago
6 0
Since this is a ratios and proportions problem, you would set up the equation like this:
1/50,000  = x/8                      x is the length of the distance on the map

After that, you cross multiply and you will get 50,000x=8  
You then solve for x to get 0.00016
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We have been given that Bobby's investment of $225,000 loses value at a rate of 3% per year. We are asked to find the value of the investment after 10 years.

We will us exponential decay function to solve our given problem.

We know that an exponential function is in form y=a\cdot (1-r)^x, where,

y = Final amount,

a = Initial amount,

r = Decay rate in decimal form,

x = Time.

Let us convert 3% into decimal.

3\%=\frac{3}{100}=0.03

Upon substituting a=\$225,000, r=0.03 and x=10, we will get:

y=\$225,000(1-0.03)^{10}

y=\$225,000(0.97)^{10}

y=\$225,000(0.7374241268949283)

y=\$165,920.4285513588675

Upon rounding to nearest dollar, we will get;

y\approx \$165,920

Therefore, the value of the investment after 10 years would be \$165,920.

5 0
2 years ago
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ololo11 [35]
Jim is 6 / Harry is 2 

In 4 years Harry will be 6 
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hope this helps!
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No, this rel. is not proportional because of the addition involved ("plus 1 lb for each guest").

A proportional rel. features mult. only.

3 0
2 years ago
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