8 x = 1
What is x
Need the answer in a few mins
trying to do HW

It will take 18.9 years for your investment to reach $1,500

From the question, we have the following parameters that can be used in our computation:

Initial deposit = 500 dollars

Rate of growth = 6% per year

The above implies that the growth follows an exponential path

An exponential function that represents a growth function is represented as

A(n) = a * (1 + r)ⁿ

Where

A(n) = value of investment after nth year

a = Initial deposit = 500

r = rate of growth = 6%

Substitute the known values in the above equation, so, we have the following representation

A(n) = 500 * (1 + 6%)ⁿ

Evaluate the sum

A(n) = 500 * 1.06ⁿ

When the investment is 1500 grams, we have

500 * 1.06ⁿ = 1500

Divide both sides by 500

1.06ⁿ = 3

So, we have

n = log(3)/log(1.06)

Evaluate

n = 18.9

Hence, the number of years is 18.9

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Answer:

The answer is actually 18.3 Years

Step-by-step explanation:

I got it correct on the test :D

Answer:

  (c)  0

Step-by-step explanation:

The answer to this question requires that you read a graph.

Finding the value of h(2) means finding the value of "y" that corresponds to x=2.

The x-axis of this graph is identified by the "x" at the right side, under the arrow at the end of the x-axis. The y-axis is similarly identified by the "y" to the right of the y-axis at the top of the graph.

Each axis is labeled with numbers.

To find the y-value associated with x=2, first find the vertical line labeled 2 on the x-axis. It is 2 grid squares to the right of the y-axis.

Follow this vertical line until you reach the point where it intersects the line segment(s) representing h(x). At one of these, you encounter a solid dot. At the other point of intersection, you see an open circle (empty dot). The open circle means the point is not included in the function graph.

The value of h(2) is the y-value at the point where the vertical line x=2 meets the defined point on the function graph, the solid dot. The y-value is found by following the horizontal grid line to the y-axis, and reading the y-value there.

The point on this graph where the axes cross, the "origin," has no markings indicating the x- and y-values are zero there. You must infer that from the markings that are shown.

The point on the graph where x=2 lies on the horizontal line y=0. That is ...

  h(2) = 0

Given :

We get the vertical asymptotes points are (-7,0) and (2,0) from the given graph.

So the denominator of the function should be of the form

There are no horizontal asymptotes.

So the numerator will be x.

Hence the function is

a) 2 years: The value of the investment after 2 years would be $2090.45.

b) 4 years: The value of the investment after 4 years would be $2186.63.

c) 12 years: The value of the investment after 12 years would be $2712.20.

a) 2 years: Value = 2000 x e^(0.045 x 2) = $2090.45

b) 4 years: Value = 2000 x e^(0.045 x 4) = $2186.63

c) 12 years: Value = 2000 x e^(0.045 x 12) = $2712.20

The value of a continuously compounded interest rate can be calculated using the formula: Value = P x e^(r x t), where P is the principal amount, r is the interest rate per year, and t is the time in years.

Using this formula, the value of a $2000 investment with an interest rate of 4.5% after 2 years would be $2090.45. This can be calculated by plugging the values into the formula: Value = 2000 x e^(0.045 x 2) = $2090.45.

The value of the same investment after 4 years would be $2186.63, which can be calculated in the same way: Value = 2000 x e^(0.045 x 4) = $2186.63.

The value of the same investment after 12 years would be $2712.20, which can be calculated by plugging the values into the formula: Value = 2000 x e^(0.045 x 12) = $2712.20.

Continuously compounded interest rates are a great way to earn money on investments, as the compounding of interest leads to higher returns over time.

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Answer:

Step-by-step explanation:

Answer:

you are doing -4. so the first parenthesis -4(x+2x+1) is incorrect.

Step-by-step explanation:

Hope this helps plz hit the crown :D

Answer:

-4(x-4)²+9y(y+4)=0

Step-by-step explanation:

If we put the -64 with the x’s instead of the y’s, we get:

-4x²+32x-64+9y²+36y=0

-4(x²-8x+16)+9y(y+4)=0

-4(x-4)²+9y(y+4)=0

As per compound interest, the account balance at the end of 12 years is approximately $17,217.

Compound interest is an important concept in finance and investing, and it plays a critical role in understanding how your money can grow over time. When you invest money, your initial investment earns interest, and over time, that interest can also earn interest, resulting in exponential growth.

In the context of this question, the investment into a college fund is represented by the equation

=> \(A = 12,000e^{0.023*12}\)

where A is the amount of money in the account at the end of the time given. Let's break down the different components of this equation and see how they relate to compound interest.

First, we have the initial investment, which is not explicitly given in the equation, but we can infer that it is 12,000. This is the amount of money that is initially invested into the college fund.

Next, we have the interest rate, which is 0.023.

Finally, we have the amount of time that the money is invested, which is 12 years in this case. The longer the money is invested, the more time there is for compound interest to work its magic and grow the account balance.

Putting all of these components together, we can use the equation

=> \(A = 12,000e^{0.023*12}\)

to calculate the amount of money in the college fund at the end of 12 years.

By plugging in the values for the initial investment, interest rate, and time, we can see that the account balance at the end of 12 years is approximately $17,217.

This represents the power of compound interest and how it can turn a modest initial investment into a substantial sum over time.

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Hello!

surface area

= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)

= 160cm²

Answer:

\(\frac{7}{2}\)

Step-by-step explanation:

\(2 \frac{5}{8} = \frac{21}{8}\)

Divide \(\frac{21}{8}\) by \(\frac{3}{4}\)

\(\frac{21}{8}\) × \(\frac{4}{3}\) = \(\frac{7}{2}\)

Answer:

\(a_{n} = 7n + 10\)

Step-by-step explanation:

4 - (-3) = 7

11 - 4 = 7

The common difference (d) is 7

The formula for nth term of an arithmetic progression is \(a_{n} = d * n + a_{1} - d\)

. In this example we have d = 7 and \(a_{1} = -3\)

\(a_{n} = 7 * n + 3 - 7\\a_{n} = 7n + 10\\\)

NOTE: \(a_{1}\) represents the first term in the sequence (-3 , 4 , 11) hence -3

The answer choice which belongs in the green box and is the longest side of the triangle as required is; 11.06.

It follows from the task content that since the sum of angles in a triangle is; 180°, the missing angle measure is; 180 - 51 - 109° = 20°.

Consequently, it follows from the sine law that;

4 / sin 20° = x / sin 109°

x = 4 sin 109° / sin 20°

x = 11.06.

Ultimately, the number that belongs in the green box is; 11.06.

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Answer:

  ∠F ≈ 74°

Step-by-step explanation:

The law of cosines is used to find the measures of angles in a triangle when the side lengths are known.

__

  f² = g² +h² -2gh·cos(F) . . . . . law of cosines relating to angle F

  cos(F) = ((g² +h² -f²)/(2gh)) . . . . . solve for cos(F)

  F = arccos((g² +h² -f²)/(2gh)) . . . . . . solve for angle F

  F = arccos((10² +62² -60²)/(2·10·62)) = arccos(344/1240)

  ∠F ≈ 74°

The answers are:

Part A: The two values of x are: x > 8 or x < -24

Part B: Closed circles at -24 as well as 8 on the number line.

Inequalities are mathematical formulas with two sides that are unequal. In an inequality, we evaluate two numbers rather than two equations. In place of the equal sign, a less than (less than or equal to), larger than (greater than or equal to), or not equal to sign is used.

The following steps are missing for the inequalities:

Solving the inequalities,

Part A:

|1/4x+2|+4 >= 8

|1/4x+2|>=4

Now when we remove the sign fom the inequality, there would be 2 values:

(1/4) x + 2 > 4 or (1/4) x + 2 < -4

Now subtracting 2 from both side:

\((\frac{1}{4} )x > 2\ or\ (\frac{1}{4} )x < -6\)

Divide both the sides by 4:

4(1/4) x > 4(2) or 4(1/4) x < 4(-6)

Now we get two values of x:

x > 8 or x < -24

Part B:

Closed circles at -24 as well as 8 on the number line. Draw a thick line from -24 to the left arrow and a thick line from 8 to the right arrow.

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Answer:

16 oatmeal cookies

Step-by-step explanation:

We can represent this situation as an equation.

Step 1: Add 7 to both sides.

Therefore, Lisa baked 16 oatmeal cookies.

Answer:

q = 6 2/5

Step-by-step explanation:

q/8 = 4/5

Using cross products

q*5 = 8*4

5q = 32

Divide each side by 5

5q/5 = 32/5

q = 6 2/5

Answer:

12 pastries

Step-by-step explanation:

30/2.5 = 12

check:

12(1 hour) +12(1 hour) +6(Half hour) = 30

A is the answer to this question

Answer:

120

Step-by-step explanation:

we know if the arc measures 120, we know that its 1/3 of the circle, so ABC will also be 120

a older computer that isn't electronic

The old version of today's keyboard. The ink was pressed onto paper in order to create letters, formalities, such as that. There was no backspace, so you had to manually take the paper out, erase the wrong letter(s), and put it back in to continue writing.

is this what you were asking for?

Solution :

Let x be student will be left handed

P = 0.09

Using the normal approximation to binomial distribution,

a). n = 108,

    μ = np = 9.72

    \($\sigma = \sqrt{np(1-p)}$\)

       \($=\sqrt{8.8452}$\)

       = 2.9741

Required probability,

P(x=8) = P(7.5 < x < 8.5)

\($=P\left(\frac{7.5-9.72}{2.9741}< \frac{x-\mu}{\sigma}< \frac{8.5-9.72}{2.9741}\right)$\)

\($=P(-0.75 < z < -0.41)$\)

Using z table,

= P(z<-0.41)-P(z<-0.75)

= 0.3409-0.2266

= 0.1143

b). P(x=12) = P(11.5 < x < 12.5)

\($=P\left(\frac{11.5-9.72}{2.9741}< \frac{x-\mu}{\sigma}< \frac{12.5-9.72}{2.9741}\right)$\)

\($=P(0.60 < z < 0.94)$\)

Using z table,

= P(z< 0.94)-P(z< 0.60)

= 0.8294 - 0.7257

= 0.1006

The distance of a rock after three seconds will be 144 feet.

A function is an assertion, concept, or principle that establishes an association between two variables.

Let's use the formula for direct variation, which is:

d = kt²

64 = k(2²)

64 = 4k

k = 16

Now we can use this value of k to find the distance when t = 3:

d = 16 × (3²)

d = 16(9)

d = 144

Therefore, the rock will fall 144 feet in 3 seconds.

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The complete question is given below.

The distance, d, that a rock falls when dropped from a cliff varies directly as the square of time, t, the rock is falling. If a rock falls 64 feet in 2 seconds, how far will it fall in 3 seconds?

Solution:

The question is given below as

Step 1:

Expand the brackets

Step 2:

Collect similar terms

Step 3:

Divide both sides by -3 (note: when divided by a negative coefficient, the inequality sign will be reversed)

Hence,

The solution for the inequality is x < -4/3

The number line is given below as

While the graph is given below ( it will be graphed with a broken line)

Answer:

765

Step-by-step explanation:

Answer: $2,850

Step-by-step explanation:

Hope this helped you. Brainliest if possible! :D

I also answered first! (Please don't copy my answer for anyone that answer this question!) :D

Answer:

282.3

Step-by-step explanation:

Answer:

282.3

Step-by-step explanation:

Answer:

y= -x +9

Step-by-step explanation:

The general equation of a line in slope intercept form is y=mx+b, where m is the slope and b is the y-intercept

For the given graph

Thake ANY 2 points on the line, for example (0,9) and (9,0) and calculate the slope

m= difference in y coordinates/ difference in x coordinates

=(9-0)/ (0-9) = 9/-9 = -1

b =9 because the given line is intersecting the y-axis at point (0,9)

The euation of the red line is y= -x +9

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$. Therefore $x=y=12\sqrt{3}$, which is our answer

In a 30-60-90 triangle, the sides have the ratio of $1: \sqrt{3}: 2$. Let's apply this to solve for the variables in the given problem.

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x=y=Let's first find the ratio of the sides in a 30-60-90 triangle.

Since the hypotenuse is always twice as long as the shorter leg, we can let $x$ be the shorter leg and $2x$ be the hypotenuse.

Thus, we have: Shorter leg: $x$Opposite the $60^{\circ}$ angle: $x\sqrt{3}$ Hypotenuse: $2x$

Now, let's apply this ratio to solve for the variables in the given problem. We know that $x = y$ since they are equal in the problem.

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$

Therefore, $x=y=12\sqrt{3}$, which is our answer.

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