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3 years ago

Find the interest rate if $11200 has

Mathematics

1 answer:

Dima020 [189]3 years ago

3 0

Answer:

9.3%

Step-by-step explanation:

Given data

Principal=$11200

Futute value= $14345

Time= 3years

The simple interest expression is given as

A=P(1+rt)

substitute

14345=11200 (1+r*3)

14345=11200+r33600

14345-11200=r33600

3145=r33600

r= 3145/33600

r=0.093

Hence the rate is 9.3%

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Multiply binomails (x + 2) (3x+1)

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Answer:

The answer is 3x^2+7x+2

Step-by-step explanation:

Multiply each term of the second bracket with the first bracket.

We can write:

(x+2)(3x+1)= 3x(x+2)+1(x+2)

By multiplying the terms we get:

=3x^2+6x+x+2

Now simplify by combining like terms:

=3x^2+7x+2

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Answer:

Step-by-step explanation:

Multiply it by 0.75, or find 3/4 of that number. Whichever you prefer! The first one always works though the second one sometimes does but sometimes 3/4 of the number isn't that obvious.

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3 years ago

Data on pull-off force (pounds) for connectors used in an automobile engine application are as follows:

hjlf

Answer:

a) 75.62

b) 75.2

Step-by-step explanation:

Data provided:

79.9,75.1,78.2,74.1,73.9,75.0,77.6,77.3,73.8,74.6,75.5,74.0,74.7,75.9,72.6,73.8,74.2,78.1,75.4,76.3,75.3,76.2,74.9,78.0,75.1,76.8

Sum = 1966.3

Total number of observations, n = 26

a) Mean is given as:

Mean = $\frac{\textup{Sum of all observations}}{\textup{Total number of observations}}$

Mean = $\frac{\textup{1966.3}}{\textup{26}}$

Mean = 75.62

b) For value that separates the weakest 50% of the connectors i.e median or the 50th percentile

Arranging the data in ascending order:

72.6, 73.8, 73.8, 73.9, 74, 74.1, 74.2, 74.6, 74.7, 74.9, 75, 75.1, 75.1, 75.3, 75.4, 75.5, 75.9, 76.2, 76.3, 76.8, 77.3, 77.6, 78, 78.1, 78.2, 79.9

i = $\frac{\textup{n}}{\textup{2}}$

i = $\frac{\textup{26}}{\textup{2}}$ = 13

When the number of observations is even the formula for median is:

$Median = \frac{\frac{n}{2}+\frac{n+2}{2}}{2}$

$Median = \frac{\frac{26}{2}+\frac{26+2}{2}}{2}$

$Median = \frac{13th+14th}{2}$

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You should’ve paid attention so don’t cheat

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