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Roman55 [17]
3 years ago
11

The initial weight of a container is 4 pounds. As water is added to the container the weight increases at a rate of 0.5 pounds p

er minute.
y = ___ X + ___
Mathematics
1 answer:
Olenka [21]3 years ago
7 0

Answer:

Step-by-step explanation:

y

=

x

Use the slope-intercept form to find the slope and y-intercept.

Tap for more steps...

Slope:  

1

y-intercept:  

0

Any line can be graphed using two points. Select two  

x

values, and plug them into the equation to find the corresponding  

y

values.

Tap for more steps...

x

y

0

0

1

1

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MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

6 0
3 years ago
$1,000 is invested at a rate of 3.25%, compounded annually. Identify the compound interest function that models the situation. T
Ulleksa [173]
The compounded interest function that models the situation is: A=P(1+ \frac{r}{n} )^{nt}
where
A is the final amount of money after t years.
P is the initial investment.
r is the interest rate in decimal form.
n is the number of times the interest is compounded per year.
t is the time in years.

We know for our problem that P=1000 and t=8. To convert the interest rate to decimal form, we are going to divide the rate by 100%:
r= \frac{3.25}{100}
r=0.0325
We also know that the interest is compounded anally, so it is compounded 1 time per year; therefore, n=1.
Lets replace the values in our formula to find the final amount after 8 years: 
A=P(1+ \frac{r}{n} )^{nt}
A=1000(1+ \frac{0.0325}{1} )^{(1)(8)}
A=1000(1+ 0.0325 )^{8}
A=1291.58

We can conclude that since we are dealing with compound interest we must use the function A=P(1+ \frac{r}{n} )^{nt}. Also, after 8 years the balance in the account will be $1291.58

3 0
3 years ago
Simplify using the order of operations.<br> 9−4 ·5+6
Aleksandr-060686 [28]

we know that the multiplication comes first in the family then we start from left to right

4 x 5= 20

9-20 = -11

-11 + 6 = -5

there you go!

3 0
3 years ago
Read 2 more answers
What is the solution set of the equation<br> 3X=-6/1-X<br> for x # 1?
Irina-Kira [14]

The solution set of the equation 3X=-6/1-X for x # 1 is {-2,1)

3x = -6/(1-x)

3x(1-x) = -6

3x – 3x2 = -6

Taking 3 as common from both sides

x –x2 = -2

x2 – x +2 =0

Using factorisation method we will get two factors

Factoring quadratics is a method of expressing the quadratic equation ax2 + bx + c = 0 as a product of its linear factors as (x - k)(x - h), where h, k are the roots of the quadratic equation ax2 + bx + c = 0. This method is also is called the method of factorization of quadratic equations. Factorization of quadratic equations can be done using different methods such as splitting the middle term, using the quadratic formula, completing the squares, etc.

( x – 2)(x+1)=0

So, x = 2 , -1

Now, when x ≠ 1

The solution of the equation will vary from {-2,1) .

Learn more about the factorisation here brainly.com/question/13496719

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3 0
2 years ago
Suppose a normal distribution has a mean of 79 and a standard deviation of 7. What is P(x ≥ 72)?
Zina [86]

Approximately 65% of the distribution lies within one standard deviation of the mean, which is to say,

P(72 ≤ x ≤ 86) ≈ 0.65

Normal distributions are symmetric, so the percentage of values one standard deviation below the mean is equal to the percentage of values one standard deviation above the mean.

P(72 ≤ x ≤ 79) = P(79 ≤ x ≤ 86)

but since the sum of these make up P(72 ≤ x ≤ 86), we find

P(72 ≤ x ≤ 79) ≈ 0.65/2 = 0.325

Also due to symmetry, exactly half of the distribution lies to either side of the mean; namely,

P(x ≥ 79) = 0.5

It follows that

P(x ≥ 72) = P(72 ≤ x ≤ 79) + P(79 ≤ x)

P(x ≥ 72) = 0.325 + 0.5

P(x ≥ 72) = 0.825 ≈ 0.84

8 0
3 years ago
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