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astra-53 [7]
3 years ago
9

If the simple interest on $6,000 for 9 years is $4,320, then what is the interest rate?

Mathematics
1 answer:
MaRussiya [10]3 years ago
4 0

Answer:

6.48%

Step-by-step explanation:

the rule of the simple interest is:

I=PRT

but here we want the rate, and we have I and P and T

so put the rate on 1 side, and all the given numbers in other side

the rule will be like this:

R=I/PT

R=4320/6000×9

R=6.48%

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Answer please? ___ feet per second
Oksanka [162]

Answer: 30 feet per second

========================================

x = diameter, y = speed of water

y varies inversely with respect to x, so, y = k/x for some constant k

If x = 0.6 and y = 5 pair up, then y = k/x turns into 5 = k/0.6 which solves to k = 3 when you multiply both sides by 0.6

So the equation y = k/x turns into y = 3/x

Now plug in the diameter x = 0.1 to find the speed to be...

y = 3/x

y = 3/0.1

y = 30 feet per second


4 0
3 years ago
First to answer gets brainliest
taurus [48]

The answer is A. The Associative Property, followed by the Associative Property.

It's because they want you to group stuff, not simplify them.

3 0
3 years ago
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At Hogwarts School of Witchcraft and Wizardry, Professor Snape was concerned about grade inflation, and suggested that the schoo
ExtremeBDS [4]

Answers:

The z scores are approximately:

  • Care of Magical Creatures:  z = 0.333
  • Defense Against the Dark Arts:  z = 0.583
  • Transfiguration:  z = -0.263
  • Potions: z = -0.533

From those scores, we can say:

  • Best grade = Defense Against the Dark Arts
  • Worst grade = Potions

=====================================================

Further Explanation:

We'll need to convert each given score to a corresponding standardized z score.

The formula to use is

z = (x - mu)/sigma

where,

  • x = given grade for each class
  • mu = mean
  • sigma = standard deviation

Let's find the z score for the Care of Magical Creatures class

z = (x - mu)/sigma

z = (3.80 - 3.75)/(0.15)

z = 0.333 approximately

Repeat this process for the Defense Against the Dark Arts score.

z = (x - mu)/sigma

z = (3.60 - 3.25)/(0.60)

z = 0.583 approximately

And for the Transfiguration class as well

z = (x - mu)/sigma

z = (3.10 - 3.20)/(0.38)

z = -0.263 approximately

The negative z score means his grade below the average, whereas earlier the other scores were above the average since he got positive z scores.

Now do the final class (Potions) to get this z score

z = (x - mu)/sigma

z = (2.50 - 2.90)/(0.75)

z = -0.533 approximately

This grade is below average as well.

----------------------------

To summarize, we have these z scores

  • Care of Magical Creatures:  z = 0.333
  • Defense Against the Dark Arts:  z = 0.583
  • Transfiguration:  z = -0.263
  • Potions: z = -0.533

Harry did his best in Defense Against the Dark Arts because the z score of 0.583 (approximate) is the largest of the four z scores. On the other hand, his worst grade is in Potions because -0.533 is the lowest z score.

3 0
1 year ago
Let f be a function such that f(x)=2x-4 is defined on the domain.2 is less than or equal to x and x is lss than or equal to 6. T
STALIN [3.7K]
F(x) = 2x - 4
f(2 ≤ x) = 2(2 ≤ x) - 4
f(x ≥ 2) = 2(x ≥ 2) - 4
f(x ≥ 2) = 2(x) ≥ 2(2) - 4
f(x ≥ 2) = 2x ≥ 4 - 4
f(x ≥ 2) = 2x ≥ 0
f(x ≥ 2) = x ≥ 0

f(x) = 2x - 4
f(x ≤ 6) = 2(x ≤ 6) - 4
f(x ≤ 6) = 2(x) ≤ 2(6) - 4
f(x ≤ 6) = 2x ≤ 12 - 4
f(x ≤ 6) = 2x ≤ 8
f(x ≤ 6) = x ≤ 4
8 0
3 years ago
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