You invest $3,200 in an account that
pays an interest rate of 7.25%,
compounded continuously.
Calculate the balance of your account after 12 years. Round you left answer to the nearest hundredth.

Answer:

no solution

Step-by-step explanation:

|x| + 7 < 4

Subtract 7 from each side

|x| + 7-7 < 4-7

|x| < -3

But an absolute value must be greater than or equal to zero

There is no solution

Answer: No solutions

Let's solve the inequality step-by-step

[tex]|x|+7<4[/tex]

First subtract 7 from both sides

[tex]|x|+7-7<4-7\\|x|<-3[/tex]

Now usually you'd solve absolute value, but absolute value cannot be less than 0 so there can't be a solution.

Given:

The figure of a construction.

To find:

The correct option that represents the given construction.

Solution:

In the given figure, the given angle is angle CAB.

The steps for the given figure are:

1. Draw a ray PQ.

2. Mark an arc BC on the given angle and mark the same arc on the line and the intersection of line and arc is point Q.

3. Set the compass of the length BA.

4. Put the compass on the point Q mark arc that intersect the first arc. The intersection of arcs is R.

5. Draw a ray PR.

These are the steps of construction to copy an angle.

Therefore, the correct option is A.

[tex] \large \boxed{(f + g)(x) = f(x) + g(x)}[/tex]

The property above is distribution property where we distribute x-term in the function.

Substitute both f(x) and g(x) in.

[tex] \large{ \begin{cases} f(x) = 2 {x}^{2} - x - 6 \\ g(x) = 4 - x \end{cases}} \\ \large{f(x) + g(x) = (2 {x}^{2} - x - 6) + (4 - x)} \\ \large{f(x) + g(x) = 2 {x}^{2} - x - 6 + 4 - x}[/tex]

Évaluate/Combine like terms.

[tex] \large{f(x) + g(x) = 2 {x}^{2} - 2x - 2} [/tex]

The function can be factored so there are two answers. (Both of them work as one of them is factored form while the other one is not.)

[tex] \large{(f + g)(x) = 2 {x}^{2} -2x -2}[/tex]

Alternative

[tex] \large{(f + g)(x) = 2({x}^{2} -x - 1)}[/tex]

Answer

Both answers work. The second answer is in factored form.

Let me know if you have any doubts!

Answer:

The answer is below

Step-by-step explanation:

Given the system of equations:

x + y + 2z = 9

2x + 4y - 3z = 1

3x + 6y - 5z = 0

This system of equation can be solved using matrix. This done by first representing the equations as matrix and then solving:

The matrix form is:

[tex]\left[\begin{array}{ccc}1&1&2\\2&4&-3\\3&6&-5\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}9\\1\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&2\\2&4&-3\\3&6&-5\end{array}\right] ^{-1} \left[\begin{array}{c}9\\1\\0\end{array}\right] \\\\\\[/tex]

[tex]\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}2&-17&11\\-1&11&-7\\0&3&-2\end{array}\right] \left[\begin{array}{c}9\\1\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}1\\2\\3\end{array}\right][/tex]

Answer:

13

HOPE THIS HELPS YOU......

Answer:

93. Divide 248 by 8. One eighth of 248 = 31.

June sold 3/8 of the 248 oranges.

If 1/8 = 31 and June sold 3/8 of the oranges.

Multiply 3 × 31. Therefore June sold 93 oranges.

Step-by-step explanation:

Answer:

93 oranges

Step-by-step explanation:

3/8 of 248

[tex]\frac{y}{248} :\frac{\frac{3}{8} }{1}[/tex]

y × 1 = 248 × 3/8

y = 93

Answer:

C = 2(3.14)r

C = (3.14)d

Step-by-step explanation:

Circumference in terms of radius:

[tex]c \: = 2\pi \: r[/tex]

So replacing pi with 3.14 you would get 2(3.14)r

Circumference in terms of diameter:

[tex]c = d\pi[/tex]

So replacing pi with 3.14 you would get d(3.14)

Answer:

solid shade above

Step-by-step explanation:

graph line same way you would if it was an equal sign

all the y's that are greater are above the line

its solid because is greater than OR equal to. Equal to includes the line itself as a set of solutions

Answer:

C. T is not​ one-to-one because the standard matrix A has a free variable.

Step-by-step explanation:

Given

[tex]T(x_1,x_2,x_3) = (x_1-5x_2+4x_3,x_2 - 6x_3)[/tex]

Required

Determine if it is linear or onto

Represent the above as a matrix.

[tex]T(x_1,x_2,x_3) = \left[\begin{array}{ccc}1&-5&4\\0&1&-6\\0&0&0\end{array}\right] \left[\begin{array}{c}x_1&x_2&x_3\end{array}\right][/tex]

From the above matrix, we observe that the matrix does not have a pivot in every column.

This means that the column are not linearly independent, & it has a free variable and as such T is not one-on-one

Answer:

s-1

Step-by-step explanation:

1st side:  s-4

2nd side: s-4+3, which is 's-1'

Answer:

can you show the picture plz

Answer:

2/3 feet.

Step-by-step explanation:

The formula for finding the area of a triangle is  A = (B x H)/2. Or, area is equal to base times height, all divided by two. In your case, we don't know the base. If we substitute in values, we get 2/5 = (B x 6/5)/2.

Next, we have to multiply both sides by two, to cancel the "/2." That results in 4/5 = B x 6/5. Then, to isolate the variable, we have to divide both sides by 6/5. 4/5 ÷ 6/5 is 4/5 x 5/6. The fives cancel out, and we are left with 4/6.

Finally, we simplify! 4/6 simplifies to 2/3.

Answer:

n=6

Step-by-step explanation:

1/2 n + 3 = 6

Subtract 3 from each side

1/2 n +3-3=6-3

1/2n = 3

Multiply each side by 2

1/2 n * 2 = 3*2

n = 6

Given that,

1/2n + 3 = 6

Now we can subtract 3 from each side,

→ 1/2 n +3-3 = 6-3

→ 1/2n = 3

Now we can multiply each side by 2,

→ 1/2 n × 2 = 3 × 2

→ n = 6

Hence, 6 is the correct answer.

Answer:

37

Step-by-step explanation:

fistly find how much different

3-1=2 5-3=2 7-5=2

so for the next and next value just plus two until the 19th then you will get 37

=============================================================

Explanation:

a = 1 is the first term

d = 2 is the common difference, since we add 2 to each term to get the next term.

The nth term is a+d(n-1) which becomes 1+2(n-1). That simplifies to 2n-1

The last step is to plug in n = 19 and you should get 2(19)-1 = 37

Answer:

31

Step-by-step explanation:

Median = middle number in terms of value

Usually the first step is to list the numbers in order from least to greatest however the numbers are already listed in order from least to greatest

24, 25, 29, 30, 31, 31, 32, 34, 34

We the just go to the middle number

The middle number would be 31

So we can conclude that the median is 31

Answer:

x^2y^2.

Step-by-step explanation:

9514 1404 393

Answer:

  (b)  It is one-half the area of a square of side length 4 units.

Step-by-step explanation:

The triangle described can be formed by drawing the diagonal through a square 4 units on a side. Such a diagonal cuts the square cleanly in half, so the area of the triangle is half the area of the square.

Answer:

B

Step-by-step explanation:

Hope you have a nice day! :o)

Answer:

34

Step-by-step explanation:

70-2=68

side 1 & 3=1m each

68 divided by 2 = 34

side 2 & 4 = 34m each

Answer:

m≤1

Step-by-step explanation:

The given inequality is :

−3(m+7)≥−24

Dividing both sides by -3.

(m+7) ≤ 8

Subtract 7 from both sides,

(m+7)-7 ≤ 8-7

m≤1

Hence, this is the required solution.

9514 1404 393

Answer:

  2

Step-by-step explanation:

We can solve for y to find the slope of the given line.

  x +2y = 2

  2y = -x +2 . . . . . subtract x

  y = -1/2x +1 . . . . divide by the coefficient of y

The slope is the x-coefficient, -1/2.

Any perpendicular line will have a slope that is the opposite reciprocal of this:

  -1/(-1/2) = 2

A perpendicular line will have a slope of 2.

Answer: 294

Step-by-step explanation:

Given

First layer has 30 Poles

Second layer has 29 Poles

There are twelve layers

It follows an A.P. with first term [tex]a_1=30[/tex] and common difference [tex]d=-1[/tex]

Sum of n terms of an A.P. is

[tex]\Rightarrow S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]

Insert the values

[tex]\Rightarrow S_n=\dfrac{12}{2}[2\times 30+(12-1)(-1)]\\\\\Rightarrow S_n=6[60-11]\\\Rightarrow S_n=294[/tex]

So, there are 294 Poles in 12 layers

Answer:

s² = 0.7965

s = 0.8925

Step-by-step explanation:

Given the data :

Class limit __ midpoint(x) ___ Frequency

2.1 - 2.7 ______2.4 ________13

2.8 - 3.4 ______3.2 _______ 14

3.5 - 4.1 ______ 3.8 _______ 10

4.2 - 4.8 ______4.5 _______ 6

4.9 - 5.5______ 5.2 ________2

5.6 - 6.2______ 5.9 ________ 1

The midpoint was calculated thus :

(Upper limit + lower limit) / 2

Using a graphing calculator :

The sample variance, s² = 0.7965

The sample standard deviation, s = 0.8925

Answer:

110°

Step-by-step explanation:

4x+10 + (3x-5) = 180

7x + 5 = 180

7x = 175

x = 25

∠2 = 4(25) + 10 = 110

The measure of angle 2 in degrees, when both lines are perpendicular, is approximately 58.56 degrees.

To find the measure of angle 2 when the lines are perpendicular, we can set up an equation. Since the angles are formed by perpendicular lines, we know that the sum of angle 2 and angle 3 will be equal to 90 degrees. Mathematically, we can write this as:

(4x + 10) + (3x - 5) = 90

Now, let's solve the equation to find the value of x. First, combine like terms:

4x + 3x + 10 - 5 = 90

7x + 5 = 90

Next, isolate x by subtracting 5 from both sides:

7x = 85

Finally, divide by 7 to solve for x:

x = 85 / 7 ≈ 12.14

Now that we have the value of x, we can find the measure of angle 2 by substituting x back into its expression:

Angle 2 = 4x + 10

Angle 2 = 4(12.14) + 10

Angle 2 ≈ 48.56 + 10

Angle 2 ≈ 58.56 degrees

To know more about angle here

https://brainly.com/question/4316040

#SPJ2

Answer:

The z-score for a pulse rate of 147.6 beats per minute is 6.46 > 2, which means that this pulse rate is significantly high.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

By the Range Rule of Thumb, if Z < -2, the measure X is significantly low, and if Z > 2, the measure X is significantly high.

Mean of 75.2 beats per minute and a standard deviation of 11.2 beats per minute.

This means that [tex]\mu = 75.2, \sigma = 11.2[/tex]

Is a pulse rate of 147.6 beats per minute significantly low or significantly​ high?

We have to find Z when X = 147.6. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{147.6 - 75.2}{11.2}[/tex]

[tex]Z = 6.46[/tex]

The z-score for a pulse rate of 147.6 beats per minute is 6.46 > 2, which means that this pulse rate is significantly high.

Answer:

x=5

y = -2

(5,-2)

Step-by-step explanation:

3x+7y=1 and y=x-7

Substitute the second equation in for y in the first equation

3x+7( x-7)=1

Distribute

3x+ 7x - 49 = 1

Combine like terms

10x - 49 =1

Add 49 to each side

10x-49+49 = 1+49

10x = 50

Divide by 10

10x/10 = 50/10

x = 5

Now find y

y = x-7

y = 5-7

y = -2

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{2x^2 + 3x - 12}[/tex]

[tex]\mathsf{= 2(5)^2 + 3(5) - 12}[/tex]

[tex]\mathsf{5^2}[/tex]

[tex]\mathsf{= 5 \times 5}[/tex]

[tex]\mathsf{\bf = 25}[/tex]

[tex]\mathsf{2(25) + 3(5) - 12}[/tex]

[tex]\mathsf{2(25)}[/tex]

[tex]\mathsf{= \bf 50}[/tex]

[tex]\mathsf{3(5)}[/tex]

[tex]\mathsf{= \bf 15}[/tex]

[tex]\mathsf{= 50 + 15 - 12}[/tex]

[tex]\mathsf{50 + 15}[/tex]

[tex]\mathsf{= \bf 65}[/tex]

65 - 12

[tex]\mathsf{= \bf 53}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 53}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

36.2

Step-by-step

Answer:

Below

Step-by-step explanation:

First find the area of the triangle

A = bh/2

   = (5)(10)/2

   = 50/2

   = 25 in^2

*the height of the triangle is 10 because we are disregarding the 3 inches as it is not a part of the triangle

You can now find the volume of the triangular part

V = area x height

   = (25)(10)

   = 250 in^3

Now find the volume of the rectangular part

V = LWH

   = (10)(5)(3)

   = 150 in^3

Add these two up to get the total volume

150+250 =400 in^3

I hope that is correct.... good luck!

Answer:

4.88

Step-by-step explanation:

That may be the question