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Sever21 [200]
4 years ago
11

The owner of a hot dog stand receives a loan of $3,750 at 8.25% for 9 months. find the amount of simple interest.(round to the n

earest cent)
Mathematics
1 answer:
Ivan4 years ago
7 0
Hello! The formula for simple interest is prt. That means you multiply the principal (initial amount) by the rate (simple interest percentage), by the amount of time (could be in months or years). So, the loan is $3,750 and the rate is 8.25% for 9 months. 9 months is 3/4 of the year, because there are 12 months in 1 year and 9/12 is 0.75. Let's multiply. 3,750 * 8.25% (0.0825) is 309.375 Now, multiply that number by 0.75 to get 232.03125 or 232.03 when rounded to the nearest hundredth (cent). The amount of simple interest is $232.03.
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Find three consecutive even numbers whose sum is 1884.
Scilla [17]

Answer:

smallest number=626

middle number=628

larger number=630

Step-by-step explanation:

To find the numbers, let's use n as the variable. Since we know that the numbers are consecutive even numbers, we know that they increase by 2. For example, we could have 2+4+6=12.

Knowing that the consecutive numbers increase by two's, we can use this.

smallest number: n

middle number: n+2

larger number: n+4

All we have to do is add these together and set it equal to 1884.

n+(n+2)+(n+4)=1884          [combine like terms]

3n+6=1884                         [subtract both sides by 6]

3n=1878                              [divide both sides by 3]

n=626

Now that we know n=626, we also know that the other numbers are 626, 628, 630 respectively.

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3 years ago
The density of a certain material is such that it weighs 8 pounds for every 8.5 cups of
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3 years ago
HELP ASAPP 30 points!!!!!<br> Which number is rational?
Anna35 [415]

Answer:

d

Step-by-step explanation:

because its a whole number as in the square root is 4

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2 years ago
For f left parenthesis x right parenthesis equals StartRoot x EndRoot and g left parenthesis x right parenthesis equals 4 x plus
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Answer:

Step-by-step explanation:

Given that there are two functions f and g as

f(x) = \sqrt{x} \\g(x) =4x+9

We have to find the composition of functions.

Composition functions are calculated as the first function inside bracket and then the outside function of answer inside.

a)fog= f{g(x)} =f(4x+9) = \sqrt{4x+9}

b) gof = g{f(x)} = g(\sqrt{x} )=4\sqrt{x} +9

c) fof = f(\sqrt{x} ) = \sqrt[4]{x}

d) gog = g(4x+9) = 4(4x+9)+9\\= 16x+45

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3 years ago
-9x-17=39 solve the equation for x
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Answer:

x = - 56/9 or -6.2

Step-by-step explanation:

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