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Bogdan [553]
2 years ago
8

Henry took out a 4 year loan for 5,000 and payed 4.2% simple annual interest. Ingrid took out a 6 year loan for 5,000 and payed

3.9% simple annual interest. What is the difference between the mounts of interest Henry and Ingrid payed for their Loans
Mathematics
1 answer:
NeX [460]2 years ago
5 0

Answer:

Ingrid pays 330 more than Henry.

                     OR

Henry pays 330 less than Ingrid.

Step-by-step explanation:

SI = Simple Interest

P = Principal

R = Rate

T = TIme

Henry

=> SI = P x R x T / 100

=> SI = 5,000 x 4 x 4.2 /100

=> SI = 50 x 4 x 4.2

=> SI = 200 x 4.2

=> SI = 840

Ingrid

=> SI = P x R x T / 100

=> SI = 5,000 x 6 x 3.9 / 100

=> SI = 50 x 6 x 3.9

=> SI = 300 x 3.9

=> SI = 1170

1170 - 840

=> 330

Ingrid pays 330 more than Henry.

                      OR

840 - 1170

=> -330

Henry pays 330 less than Ingrid.

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A data set with a mean of 34 and a standard deviation of 2.5 is normally distributed
tresset_1 [31]

Answer:

a) z= \frac{34-34}{2.5}= 0

z= \frac{39-34}{2.5}= 2

And we want the probability from 0 to two deviations above the mean and we got 95/2 = 47.5 %

b) P(X

z= \frac{31.5-34}{2.5}= -1

So one deviation below the mean we have: (100-68)/2 = 16%

c) z= \frac{29-34}{2.5}= -2

z= \frac{36.5-34}{2.5}= 1

For this case below 2 deviation from the mean we have 2.5% and above 1 deviation from the mean we got 16% and then the percentage between -2 and 1 deviation above the mean we got: (100-16-2.5)% = 81.5%

Step-by-step explanation:

For this case we have a random variable with the following parameters:

X \sim N(\mu = 34, \sigma=2.5)

From the empirical rule we know that within one deviation from the mean we have 68% of the values, within two deviations we have 95% and within 3 deviations we have 99.7% of the data.

We want to find the following probability:

P(34 < X

We can find the number of deviation from the mean with the z score formula:

z= \frac{X -\mu}{\sigma}

And replacing we got

z= \frac{34-34}{2.5}= 0

z= \frac{39-34}{2.5}= 2

And we want the probability from 0 to two deviations above the mean and we got 95/2 = 47.5 %

For the second case:

P(X

z= \frac{31.5-34}{2.5}= -1

So one deviation below the mean we have: (100-68)/2 = 16%

For the third case:

P(29 < X

And replacing we got:

z= \frac{29-34}{2.5}= -2

z= \frac{36.5-34}{2.5}= 1

For this case below 2 deviation from the mean we have 2.5% and above 1 deviation from the mean we got 16% and then the percentage between -2 and 1 deviation above the mean we got: (100-16-2.5)% = 81.5%

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The circumference, C, of a given circle may be calculated through the equation,
         
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Answer:

b

Step-by-step explanation:

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