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blondinia [14]
3 years ago
10

Which point on the graph shows the price of 6 cups of hot chocolate? Use the formula y=x÷4 to find y when x equals 6.

Mathematics
2 answers:
steposvetlana [31]3 years ago
5 0

Answer:

The correct point would be D) (6, 1.5)

Step-by-step explanation:

To find the y value, put in 6 for x in the equation and simplify.

y = x÷4

y = 6÷4

y = 1.5

DerKrebs [107]3 years ago
5 0

Answer:

<h2>6 cups of hot chocolate cost $1.50.</h2>

Step-by-step explanation:

According to the problem, the graph is modeled by the relation

y=\frac{x}{4}

So, we can observe that x-values refer to cups of hot chocolate, and y-values refer to price in dollars.

If we need to find the proce for 6 cups of hot chocolate, we just need to replace x=6 into the given relation, as follows

y=\frac{6}{4}\\y=1.5

Therefore, 6 cups of hot chocolate cost $1.50.

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You have been told that you need $21,600 today in order to have $100,000 when you retire 42 years from now. what rate of interes
Savatey [412]
You will have to use this formula:
<span>log(1 + rate) = {log(total) -log(Principal)} ÷ Years
</span>log(1 + rate) = {log(100,000) -log(21,600)} <span>÷ </span><span>Years
</span>log(1 + rate) = { 5 -4.3344537512} / Years
log(1 + rate) = <span> <span> <span> { 0.6655462488} / 42
</span></span></span>log(1 + rate) = <span> <span> <span> 0.0158463393 </span> </span> </span>
1 + rate = 10^<span> <span> 0.015846339
</span></span><span>1 + rate = </span>1.0371613856
rate = .0371613856<span>
rate = </span><span>3.71613856%

</span>************************************************************************
Double-Check
Total = principal * (1 +rate)^years
Total = 21,600 * (<span>1.0371613856)^42
</span> <span>Total = 21,600 * </span> <span> <span> <span> 4.6296296291 </span> </span> </span> <span><span> </span> </span> 
Total = 100,000

Correct !!


5 0
3 years ago
=<br> Use &lt;, &gt;, or = to make the<br> statements true.<br> 1 km<br> 3,000 m<br> 4L 4,000 mL
quester [9]

Answer:

1 km < 3,000 m and 4L = 4,000 mL

3 0
2 years ago
What is 3.41 (where the .41 is repeating) written as a fraction?<br>Please help!!
Aneli [31]

Answer:

41/99

Step-by-step explanation:

There are two types of non terminating decimals. These are: Simple and Mixed

The one that you wrote up here is Simple, Since 41 is the only number that goes on repeating itself.

And mixed non terminating decimal is like 0.352 whereas 52 keeps repeating itself.

So when you change a non terminating decimal the denominator is always 9. But it depends on the decimal whether it is simple or mixed.

Since the decimal you wrote is simple and 2 digits keep on repeating themselves the denominator will be 99.

And the numerator will be the decimal number that keeps repeating itself without the repeating bar.

Therefore, the answer is 41/99.

Hope it helps ;) ❤❤❤

7 0
3 years ago
A research center is interested in investigating the height and age of children who are between 5 to 9 years old. In order to do
ehidna [41]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Age(x)

7

8

5

8

8

7

7

7

9

8

5

8

6

5

8

Height (Y)

47.3

48.8

41.3

50.4

51

47.1

46.9

48

51.2

51.2

40.3

48.9

45.2

41.9

49.6

The estimated regression equation:

ŷ = 2.73953X + 27.91395

Where ;

X = independent variable

ŷ = predicted or dependent variable

27.91395 = intercept

C.) To obtain the variation in sample values of height estimated by the model, we obtain the Coefficient of correlation:

Using the online pearson correlation Coefficient calculator :

The correlation Coefficient is 0.9696.

which means that the regression model estimated in part (b) explains approximately (0.9696 * 100) = 96.96% = 97% of the variation in the height in the sample.

3 0
3 years ago
Which equation has only one solution? A lx-5l=1 B l-6-2xl=8 C l5x+10l=10 D l-6x+3l=0​
dem82 [27]

Answer:

D:  x = 1/2

Step-by-step explanation:

D is correct.  The solution here is the solution of -6x + 3 = 0, which is x = 1/2.

5 0
3 years ago
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