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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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Graph h(x)=-x^4 +3
Katyanochek1 [597]
Hope this helps, the y intercept is 3 ans the x intercepts are +1.3 and -1.3

8 0
3 years ago
You know that the Customer Acquisition Cost is the cost associated with convincing a customer to buy a good or service. It inclu
kozerog [31]

Answer:

The Customer Acquisition Cost for each customer in demographic group 1

The correct option is c

The Customer Acquisition Cost for Group 2

The  correct option is  b

Step-by-step explanation:

From the question we are told that

The marketing expenses per month for targeting the first group is E =  \$ 30,000

The marketing expenses per month for targeting the second group is F =  \$ 60,000

The number of customers for the demography of group 1 that will be attracted is N = 1000

The number of customers for the demography of group 2 that will be attracted is M = 1500

Generally the customer acquisition cost for group 1 is

K  =  \frac{E}{ N}

=>   K  =  \frac{30000}{ 1000}

=>   K  = \$ 30

Generally the customer acquisition cost for group 2 is

      Z  =  \frac{F}{ M}

=>   Z  =  \frac{60000}{ 1500}

=>   Z  = \$ 40  

8 0
3 years ago
What is the length of line PS
stiks02 [169]
PQ^2 = PR \times PS

(4x + 4)^2 = (3x + 3)(3x + 3 + 21)

16x^2 + 32x + 16= (3x + 3)(3x + 24)

16x^2 + 32x + 16= 9x^2 + 81x + 72

7x^2 - 49x- 56 = 0

7(x^2 - 7x - 8)= 0

(x - 8)(x + 1) = 0

x - 8 = 0~~~or~~~x + 1 = 0

x = 8~~~or~~~x = -1

x = -1 makes the lengths of segments PQ and PR equal zero.
That is not possible, so the solution x = -1 is discarded.

x = 8

PS = 3x + 3 + 21

PS = 3x + 24

PS = 3(8) + 24

PS = 24 + 24

PS = 48
4 0
4 years ago
What is the inverse of the function y=4^x
KengaRu [80]

Answer:  We are supped to solve for y so it will be division because that's the inverse for x. so: x/4 is your answer.

3 0
3 years ago
(Hypothetical.) Suppose a certain person's reaction time, in seconds, for pressing a button on a visual cue has the following cu
Sonbull [250]

Answer:

the probability the person's reaction time will be between 0.9 and 1.1 seconds is 0.0378

Step-by-step explanation:

Given the data in the question;

the cumulative distribution function F(x) = 1 - \frac{1}{(x + 1)^3} ; x > \theta

probability the person's reaction time will be between 0.9 and 1.1 seconds

P( 0.9 < x < 1.1 ) = P( x ≤ 1.1 ) - P( x ≤ 0.9 )

P( 0.9 < x < 1.1 ) = F(1.1) - F(0.9)

= [ 1 - \frac{1}{(x + 1)^3}  ] - [1 - \frac{1}{(x + 1)^3} ]

we substitute

= [ 1 - \frac{1}{(1.1 + 1)^3}  ] - [1 - \frac{1}{(0.9 + 1)^3} ]

= [ 1 - \frac{1}{(2.1)^3}  ] - [1 - \frac{1}{(1.9)^3} ]

= [ 1 - \frac{1}{(9.261)}  ] - [1 - \frac{1}{(6.859)} ]

= [ 1 - 0.1079796998 ] - [ 1 - 0.1457938 ]

= 0.8920203 - 0.8542062

= 0.0378

Therefore, the probability the person's reaction time will be between 0.9 and 1.1 seconds is 0.0378

5 0
3 years ago
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