Use the simple interest formula to determine the missing value. Round dollar amounts to the nearest cent and percents to the nearest hundredth when necessaryp = ?, r = 4%, t = 90 days, i = $117.65

A. p = $392.17
B. p = $11,944.74
C. p = $3921.67
D. p = $11,765.00


Answer: D

Mathematics

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Write an equivalent sentence for the statement.An number n is divisible by 3 if and only if the sum of the digits of n is divisible by 3. (Hint: Use the fact that  is equivalent to 

A. If a number n is divisible by 3 then the sum of the digits of n is divisible by 3, or if the sum of the digits of n is divisible by 3 then the number n is divisible by 3. B. The sum of the digits of n is divisible by 3 or the number n is divisible by 3. C. A number n is divisible by 3 and the sum of the digits of n is divisible by 3. D. If a number n is divisible by 3 then the sum of the digits of n is divisible by 3, and if the sum of the digits of n is divisible by 3 then the number n is divisible by 3.

Mathematics

Solve the equation by making an appropriate substitution.x4 - 20x2 + 64 = 0

A. {4, 16} B. {-2, 2, -4, 4} C. {-2i, 2i, -4i, 4i} D. {2, 4}

Mathematics

Divide using synthetic division.

A. x4 - 2 + 
B. x4 - 3x3 + 10x2 - 30x + 90 +  
C. x4 - 2x2 + 
D. x4 - 3x3 + 9x2 - 26x + 78 +  

Mathematics

Use the formula for the sum of the first n terms of a geometric sequence to solve.Find the sum of the first 10 terms of the geometric sequence: 7, -14, 28, -56, 112, . . . .

A. -2380 B. -2387 C. -2393 D. -2389

Mathematics