When an equation in one variable is solved using a system of equations, the solution is always the
of each intersection.

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.

To know more about continuous compounding follow

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Answer:

B

A=2

B=6

Step-by-step explanation:

The expression that shows how much farther Adam can see to the horizon should be considered as the d = 400 - 256 and d = 256 - 400.

Since

Pam's eye–level height is 256 feet above sea level and Adam's eye–level height is 400 feet above sea level.

So here the expression be like The expression that shows how much farther Adam can see to the horizon should be considered as the d = 400 - 256 and d = 256 - 400.

Learn more about an expression here: https://brainly.com/question/4700495

Answer:

B = 240/h

Step-by-step explanation:

Answer: y= 2/5 * x - 6

Step-by-step explanation:

y intercept

y= 2/5 x+b putting in the point 5,4

y=2/5 5+ b

4=10+b

b= -6

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:

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:

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:

Answer:

I'd say the first one, it is most common for states to have four or fewer roller skating rinks.

Have a lovely day/night! <3

Answer:

YES

Step-by-step explanation:

The 7 in (0,7) is the y-intercept given in the equation y = 3x + 7

Answer:

14 dollars.

Step-by-step explanation:

With annual interest rate, 5.25 interest rate is $14.00

Answer:

$968

Step-by-step explanation:

800 × 0.0525 × 4 = 168 (interest)

168 + 800 = 968 (total)

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:

- 3.4(21) = - 71.4

(- 2.3)(- 7.9) = 18.17

9.24 ÷ - 7 = -1.32

(- 8.5) ÷ (- 3.4) = 2.5

- 6.85 ÷ 0.5 = - 13.7

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:

The rise over run is -1/2

Step-by-step explanation:

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: 1 1/2, 3/2, or 1.5

Step-by-step explanation: Convert expression into unproper fractions, 13/6, and 9/2. Then by changing 13/6 into a denominator with 2, you multiply and it equals 1 1/2.

Answer:

d

Step-by-step explanation:

Since the triangle is equilateral then the 3 sides are congruent, then

2x = 6 ( divide both sides by 2 )

x = 3

and

3y = 6 ( divide both sides by 3 )

y = 2

Thus x = 3 and y = 2 → d

Answer:

108 cubic units

Step-by-step explanation:

If X = 2 units, Y = 9 units, and Z = 6 units, then what is the volume of the rectangular prism shown above?

Volume of a rectangular prism XYZ = Length × Width × Height

= 2 unit × 9 unit × 6 unit

= 108 cubic units

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: x=0

Step-by-step explanation: This is number 9

12=-4(-6x-3)

-4(-6x-3)=12

-4(-6x-3)/-4=12/-4

-6x-3=-3

-6x-3+3=-3+3

-6x/-6=0/-6

x=0

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:

Step-by-step explanation:

let width=x

length=x+7

x(x+7)=30

x²+7x-30=0

x²+10x-3x-30=0

x(x+10)-3(x+10)=0

(x+10)(x-3)=0

either x=-10 (rejected being negative)

or x=3

width=3 cm

length=3+7=10 cm

Perimeter=2(10+3)=2×13=26 cm

Answer:

8x^2 + 18x - 35.

Step-by-step explanation:

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

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

= 8x^2 + 18x - 35.

answer (in words)

FALSE. the coordinate pair (5, 2) is not a solution to the equation [tex]2x+3y=10[/tex]. in order to figure out whether or not the statement is true or false, plug the [tex]x[/tex] and [tex]y[/tex] values from the coordinate pair (5, 2) into the given equation, [tex]2x+3y=10[/tex]. if both sides of the equation end up equal, the coordinate pair is a solution to the equation. if not, the coordinate pair is not a solution to that equation.

(i hope i explained that well enough, i'm better at explaining it algebraically as opposed to putting it into words lol)

answer (algebraic/steps for solving)

first, plug in 5 for [tex]x[/tex] in the equation [tex]2x+3y=10[/tex].

then plug in 2 for [tex]y[/tex].

now your equation is [tex]2(5)+3(2)=10[/tex]. all that's left to do is to simplify. you can do this in whatever order you'd like, but i'll start with multiplying 2 · 5.

multiply 3 · 2.

add 10 + 6.

16 and 10 are not equal, therefore (5, 2) is not a solution to the equation [tex]2x+3y=10[/tex]. in order for a coordinate pair to be the solution to an equation, both sides of the equation need to end up equal after solving and simplifying.

i hope this helps! have a great rest of your day <3

To the nearest inch it'll be

d×3.14=63

= 20 inches

Answer: 12

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

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

Answer:

Step-by-step explanation:

I'm sure of it i even used my calculatr... it 13

Answer:

Diameter = 19.33

Step-by-step explanation:

Imaging a radius line from O to the endpoints of the 7. call this line R.

Label the part of the vertical line from O to the 90 degree intersection y.

Now you have a right triangle.

Using the Pythagorean theorem:

R² = 7² + y²

also

y = R - 3

substitute for y:

R² = 49 + (R-3)²

R² = 49 + R² - 6R + 9

simplify:

0 = 58 - 6R

6R = 58

R = 9.6667

Diameter = 2(9.6667) = 19.33

Tank A has a greater volume.