What is the quotient of 492÷6

djyliett [7]

Answer:

$3800

Step-by-step explanation:

When simple interest is added to the principal amount, the sum increases linearly with time. Essentially, you are asked for the y-intercept of a line that goes through the points (2, 6200) and (3, 7400). You can use the 2-point form of the equation of a line to find it:

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

y = (7400 -6200)/(3 -2)(x -2) +6200 . . . . fill in given points

y = 1200(x -2) +6200 . . . . . . . . . simplify some

y = 1200x -2400 +6200 . . . . . . simplify more

y = 1200x +3800 . . . . . . . . . . . . . completely simplify

When the number of years (x) is zero, the amount is 3800. The principal is $3800.

_____

The account is earning $1200 per year on a principal of $3800. The interest rate is about 31.6%, an unusually high value.

_____

<em>Alternate solution</em>

You can recognize that the interest earned in one year is 7400 -6200 = 1200. Since this is simple interest, the amount of interest earned each year is the same, so in 3 years, the account has earned 3×$1200 = $3600 in interest. Then the original principal amount must be ...

$7400 -3600 = $3800 . . . . . principal amount

5 0

4 years ago

How do I solve the equation.×-8=4 can you help me with step by steps on this please

Sauron [17]

   This is really easy.
x-4=8
   what it really is asking you is the value of x
   Isolate x
   take 4 to the other side. not -4 but positive 4
   x=12

4 0

3 years ago

Read 2 more answers

The circonfrinse of a circle is 6pie ft. what is the area of the circle

ExtremeBDS [4]

Hello there.

Question: <span>The circumference of a circle is 6 ft. what is the area of the circle?

Answer: It would be 2.86 ft</span>²

Hope This Helps You!
Good Luck Studying ^-^

3 0

4 years ago

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Help me asp and explain please

olga_2 [115]

Okay so, to get C you add the ones inside the triangle together.

42+58=100 Then the last angle will be 80, because when you add the three inside the triangle, you should get 180

42+58+80=180

To get D, you have to subtract 180 and 58, because 58+d will be a straight angle.

180-58=121

To get B and A, you would also have another straight angle (c, b, and a)

180-80=100

I believe that B=A, so, with the remaining 100, both A and B equal 50.

50+50+80=180

Does this help??

4 0

3 years ago

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2. The Hereford Cattle Society says that the mean weight of a one-year-old Hereford bull is 1135 pounds, with a standard deviati

Andrews [41]

Answer:

16.35% probability their combined weight exceeds 46000 pounds.

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$