Write a slope intercept equation for the following table

Answer:

15.4 I did this on delta math

It would take approximately 15.4 years, to the nearest tenth of a year, for the value of the account to reach $700 with continuous compounding.

The formula for calculating the future value (FV) of an investment with continuous compounding is:

[tex]FV = Pe^{rt}[/tex]

Where P is the initial principal, r is the annual interest rate (expressed as a decimal), t is the time period (in years), and e is the mathematical constant e (approximately 2.71828).

In this case, we have P = $350, r = 4.5% = 0.045, and we want to find the time t when the FV is $700. Substituting these values into the formula, we get:

[tex]700 = 350e^{0.045t}[/tex]

Dividing both sides by $350, we get:

[tex]2 = e^{0.045t}[/tex]

Taking the natural logarithm of both sides, we get:

[tex]ln(2) = ln\times e^{0.045t}[/tex]

Using the properties of logarithms, we can simplify this to:

ln(2) = 0.045t ln(e)

Since ln(e) = 1, we can simplify further to:

ln(2) = 0.045t

Finally, solving for t, we get:

t = ln(2) / 0.045 ≈ 15.4

Therefore, it would take approximately 15.4 years, to the nearest tenth of a year, for the value of the account to reach $700 with continuous compounding.

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Answer:

the second one is correct

Step-by-step explanation:

Answer:

y = -5x - 23

Step-by-step explanation:

Write it in point - slope form:

y - 7 = -5(x + 6)

rearrange:

y - 7 = -5x - 30

y = -5x - 23

The correct statement of function is the function is continuous.

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

As, functions approach the same value as x approaches 0.

Now, -x² +4x +1 at x= 2 we get

= -4 + 8 +1 = 5

and, 1/2x + 3 = 1+3= 4

So, we reject the statement.

Now, as x increases without bound,

1/2x +3 increases with bound.

Therefore the statement B is true statement.

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Answer:

9.1, 9.1041, 9.304, 9.34

Step-by-step explanation:

Answer: 12

Step-by-step explanation: 96-84=12

I dont really know how i did it I just did.

Answer:

169

Step-by-step explanation:

13*13=169

Answer:

169

Step-by-step explanation:

length x width = area

since it is a square, all sides are equal.

13 x 13 = 169

Answer:

D. There is no solution because 9 ≠ -3.

Step-by-step explanation:

For finding out the statement let's check it ourselves

x + 9 - 4x = - 3x - 3

-3x + 9 = - 3x - 3

9 ≠ - 3

So there is no solution for the equation.

hope it helps :)❤

Answer: [tex]2\sqrt{34}[/tex] or, as a decimal, 11.7.

Step-by-Step Explanation:

1. Use the distance formula and substitute the values of the two ordered pairs.

[tex]\sqrt{(2-(-4))^{2}+(2-(-8))^{2}}[/tex]...

2. Multiply -1 by -4.

[tex]\sqrt{(2+4)^2+(2-(-8))^2\\}[/tex] ...

3. Add 2 and 4.

4. Raise 6 to the power of 2.

[tex]\sqrt{36+(2-(-8))^2}[/tex]...

5. Multiply -1 by -8.

6. Add 2 and 8.

7. Raise 10 to the power of 2.

[tex]\sqrt{36+100}[/tex] ...

8. Add 100 and 36.

9. Rewrite 136 as 2² · 34.

10. After factoring 4 out of 136 and rewriting as ...  [tex]\sqrt{2^{2}(34)}[/tex], pull out terms from under the radical. It should look like this now: [tex]2\sqrt{34}[/tex]. That is your final answer!!

Hope that helps! Note: the unrounded decimal is 11.66190378.

(P.S. Can I have Brainliest please? Once someone else answers, of course...)

Answer:

Number that occurs the most: mode

Middle number in ordered set of data: median

average of a set of numbers: mode

More than one number: i think it is mode

Step-by-step explanation:

this doesn't make sense

Answer:

12

Step-by-step explanation:

12(5-4)=96

60-48=12 means it's not five

12(9-4)=96

108-48=60 means it's not 9

12(12-4)=60

144-48=96 so answer is 12

Answer:

92

Step-by-step explanation:

Because 92 occurs the most and some of the numbers aren't even there.

Answer:

8x^2 + 18x - 35.

Step-by-step explanation:

Area = (4x - 5)(2x + 7)

= 8x^2 + 28x - 10x - 35

= 8x^2 + 18x - 35.

Answer:

x > -6.

Step-by-step explanation:

16x - 33x < -12x + 30

Add 12x to both sides:

16x - 33x + 12x < 30

-17x + 12x < 30

-5x < 30

x > 30/-5

x > -6

(Note the inequality signs flips because we are dividing by negative 5).

Answer:

-1

Step-by-step explanation:

2−1+  (22−(−1)²) / (1−(2)(−1))

+2(2−(−1)) / (2)(−1)

22−(−1)2 / 1−(2)(−1)

+2(2−(−1)) / (2)(−1)

= -1

Answer:

x=2

Step-by-step explanation:

You just literally mark the graph, you see the 1st points (2,12) go on the X axis to 2, then go up to 12 and mark that as a point. and continue with this tactic with the rest.

Answer:

I think this is correct. <3

Answer:

-4-3x = -4-3x

Step-by-step explanation:

-10-3(x-2)=-(4+3x)

-10-3x+6 = -4-3x

-4-3x = -4-3x

Answer:

Number of multiple-choice questions = x = 35 questions

Number of open-ended questions = y = 3 questions

Step-by-step explanation:

Let

Number of multiple-choice questions = x

Number of open-ended questions = y

x + y = 38 (1)

4x + 20y = 200 (2)

From (1)

x = 38 - y

Substitute x = 38 - y into (2)

4x + 20y = 200

4(38 - y) + 20y = 200

152 - 4y + 20y = 200

- 4y + 20y = 200 - 152

16y = 48

y = 48/16

y = 3

Substitute y = 3 into (1)

x + y = 38

x + 3 = 38

x = 38 - 3

x = 35

Number of multiple-choice questions = x = 35 questions

Number of open-ended questions = y = 3 questions

Answer:

A gotchu Just took the test got 100

Step-by-step explanation:

B

Answer:

The answer is B

Step-by-step explanation:

As it is very close to one because all the points are close together

Answer:

.

Step-by-step explanation:

.

Answer:

i belive its x^2 + y^2 = 8

Step-by-step explanation:

Answer:

18sqrt5  or 40.249

Step-by-step explanation:

by pythagorean theorem

Hypotenous^2=altitude^2+base^2

c^2=a^2+b^2

c^2=(18)^2+(36)^2

c^2=324+1296

c^2=1620

taking sqrt root

c=18sqrt5=40.249

Answer:

in right angled triangle BCD

by using Pythagoras law

P²+B²=H²

A²+B²=C²

36²+18²=x²

x=√1620=18√5m

x=18√5 m is your answer

Answer:

[tex]-y\sqrt{3}[/tex]

Step-by-step explanation:

Under the radical there is a perfect square, one can take the perfect square out, and write it by its square root. The result of taking the principal square root is always positive, but it is given that the perfect square factor is negative, thus, one must multiply the square root by the negative sign to ensure that the result is positive.

Answer:

[tex]-y\sqrt{3}[/tex]

Step-by-step explanation:

Answer:

Red skittles = 4 skittles

Yellow skittles = 12 skittles

Green skittles = 20 skittles

Step-by-step explanation:

A bag of skittles contains only red, yellow, and green colors.

The respective ratios are 1:3:5 for those three colors.

We have

red: yellow: green

1:3:5

The sum of the proportion = 1 + 3+ 5 = 9

If there are a total of 36 skittles in the bag, how many of each skittles red, yellow, and green are in the bag?

Hence,

Number of red skittles is calculated as:

1/9 × 36 skittles

= 4 skittles

Number of yellow skittles is calculated as:

3/9 × 36 skittles

= 12 skittles

Number of green skittles is calculated as:

5/9 × 36 skittles

= 20 skittles

Therefore, the number of

Red skittles = 4 skittles

Yellow skittles = 12 skittles

Green skittles = 20 skittles

Answer: -first one is equal to 96 cm^2

-second one is equal to 25.5 cm^2

-third one is equal to 82.8 cm^2

-last one is 34.04 cm^2

I used the calculator on GO0GLE to find it out....

Answer:

x = 10

y = 50

Step-by-step explanation:

9x - 70 = x + 10

8x - 70 = 10

8x = 80

x = 10

3y - 60 = 90

3y = 150

y = 50

The answer is:

x- 10

y- 50