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Rudik [331]
3 years ago
9

Ever since an automobile started to have a mechanical problem, every time it has burned a gallon of gasoline, it has traveled on

ly half as far as it did for the last gallon of gasoline it burned. If it traveled 40 miles for the first gallon of gasoline, it burned since the problem started, and if it has burned a total of 5 gallons of gasoline since the problem started, how many miles per gallon has the automobile averaged since the problem started?
A)
15 miles per gallon


B)
15.5 miles per gallon


C)
16 miles per gallon


D)
16.5 miles per gallon
Mathematics
1 answer:
kati45 [8]3 years ago
3 0
B. The amount of distance it traveled for 5 gallons is 77.5 mi as 40+20+10+5+2.5 so divide that by 5 and you get 15.5
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Step-by-step explanation:

Step 1:

Total amount Stephanie has inherited = $40000

Let x be the amount she should put in certificate of deposit.

So 40000-x is the amount to be deposited in mutual funds

Step 2:

Total interest she wants to earn is 5.4% of $40000 = 5.4*40000/100 = 2160

Interest from certificate of deposit  = 2.1% of x = 2.1 * x /100

Interest from mutual funds is 6.5% = 6.5(40000-x)/100

Sum of the interest from both these equals 2160

so 2.1 * x /100 + 6.5(40000-x)/100 = 2160

=> 0.021x/100 + 2600-0.065x = 2160

=> -0.044x = -440 => x= 10000

Step 3 :

Hence Stephaine should invest $10000 in certificate of deposit and (40000-10000) = $30000 in mutual funds

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3 years ago
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sasho [114]
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Step-by-step explanation:

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