If the simple interest on 3,000$ for 3 years is 450$, then what is the interest rate?

Mathematics

1 answer:

Artyom0805 [142]3 years ago

4 0

Answer/Step-by-step explanation:

The interest rate is 15% for every 3 years. To find the interest rate subtract the money from the total. Then, divide the total from the difference. Now subtract the quotient from 100 and multiply it by 100 to fin the percentage.

3000 - 450 = 2550

2550 ÷ 3000 = 0.85

100 - 0.85 = 0.15

0.15 x 100 = 15%

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The product of two consecutive even positive integers is 674 more than the sum of the two integers. Find the integers.

IrinaVladis [17]

$2n(2n+2)=2n+2n+2+674\\
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Let line A be the graph of 5x + 8y = -9. Line B is perpendicular to line A and passes through the point (10,10). If line B is th

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Find slope of line A:
Move into slope-intercept form y = mx+b

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The slope of line A is -5/8.

If Line B is perpendicular to line A, then

slope Line B = negative reciprocal of slope Line A
slope Line B = 8/5

So like B has the equation

y = (8/5)x + b

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y = (8/5)x + b
10 = (8/5)·10 + b
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So line B has equation 
y = (8/5)x - 6

m = 8/5 and b = -6

so

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3 years ago

A hair salon in Cambridge, Massachusetts, reports that on seven randomly selected weekdays, the number of customers who visited

morpeh [17]

Answer:

a: 28 < µ < 34

Step-by-step explanation:

We need the mean, var, and standard deviation for the data set. See first attached photo for calculations for these...

We get a mean of 222/7 = 31.7143

and a sample standard deviation of: 4.3079

We can now construct our confidence interval. See the second attached photo for the construction steps.

They want a 90% confidence interval. Our sample size is 7, so since n < 30, we will use a t-score. Look up the value under the 10% area in 2 tails column, and degree of freedom is 6 (degree of freedom is always 1 less than sample size for confidence intervals when n < 30)

The t-value is: 1.943

We rounded down to the nearest person in the interval because we don't want to over estimate. It said 28.55, so more than 28 but not quite 29, so if we use 29 as the lower limit, we could over estimate. It's better to use 28 and underestimate a little when considering customer flow.