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weqwewe [10]
3 years ago
15

Using the rule of 72, how long will it take for the principal to double with an annual compound interest rate of 6%?

Mathematics
1 answer:
I am Lyosha [343]3 years ago
7 0

Answer:

C. 12

Step-by-step explanation:

With the rule of 72, you would divide 72 by the periodic interest rate to get the number of years for the principal to double

72 ÷ 6 = 12

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Use an algebraic approach to solve the problem.
qaws [65]

Answer:

Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.

Step-by-step explanation:

Use the formula for the mean: sum of elements / number of elements

Let x represent her first exam score.

Her second exam score can be represented by x + 11, since it was 11 points better than her first.

Her third exam score can be represented by (x + 11) + 5, since it was 5 points better than her second.

Plug in all of these expressions into the mean formula. Plug in 87 as the mean, and plug in 3 as the number of elements (since there are 3 scores):

mean = sum of elements / number of elements

87 =  ( (x) + (x + 11) + (x + 11) + 5 ) / 3

Add like terms and solve for x:

87 = (3x + 27) / 3

261 = 3x + 27

234 = 3x

78 = x

So, her first score was a 78.

Find her second score by adding 11 to this:

78 + 11 = 89

Find her third score by adding 5 to the second score:

89 + 5 = 94

Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.

6 0
3 years ago
Is 26,341 divisible by 9
Paul [167]
No, it would leave a decimal
6 0
3 years ago
May someone please help me?
kvv77 [185]

Answer:

the answer is ac line segment

6 0
3 years ago
Read 2 more answers
Need help with me question
Irina-Kira [14]

Answer:

x = -6       x=5

Step-by-step explanation:

x^2 +x -30 =0

Factor

What two numbers multiply to -30 and add to 1

6 * -5 = -30

6-5 =1

(x+6) (x-5) =0

Using the zero product property

x+6 =0    x-5=0

x+6-6=0-6    x-5+5=0+5

x = -6       x=5

8 0
3 years ago
Write the standard form of the line that passes through (-1,-3) and (2,1).
kobusy [5.1K]

Answer:

Step-by-step explanation:

\mathrm{Line\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Find\:the\:line\:}\\\mathbf{y=mx+b}\mathrm{\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Compute\:the\:slope\:}\left(-1,\:-3\right),\:\left(2,\:1\right):\quad \\m=\frac{4}{3}\\\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-1,\:-3\right),\:\left(x_2,\:y_2\right)\\\left\\

\\m=\frac{1-\left(-3\right)}{2-\left(-1\right)}\\\\Refine\\\\m=\frac{4}{3}\\\\\mathrm{Compute\:the\:}y\mathrm{\:intercept}:\quad b=-\frac{5}{3}\\\\y=\frac{4}{3}x-\frac{5}{3}\\

Convert equation to standard form

y - \frac{4}{3} x + \frac{5}{3} = 0\\\\Multiply \:through\: by\: 3;\\\\3\times (y - \frac{4}{3} x + \frac{5}{3} )=0\\\\3y -4x+5 = 0\\Arrange\:n\:form\:of \:;\\Ax +By = C\\\\-4x +3y =-5

5 0
3 years ago
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