Jacob invests $6,047 in a retirement account with a fixed annual interest rate of 8% compounded continuously. What will the account balance be after 15 years?
A) $20,076.75
B) $17,280.22
C) $18,533.17
D) $21,640.41​

Answer:

Your hypothalamus and autonomic nervous system continuously adjust a number of complex activities in your body so your body temperature is typically near your normal. When you get hot, your hypothalamus and nervous system prompts the sweat glands to do their work.

Answer:

20%

Step-by-step explanation:

3/15 x 100

= 100/5

= 20% Ans

Hope I made it in time

Answer:

72

Step-by-step explanation:

The total distance of the outer sides of a closed figure is known as the perimeter. It is the total length of all sides of a polygon. The unit of the perimeter of any polygon will remain the same as the unit of its respective sides.

Answer:

To find the perimeter of a regular polygon, we take the length of each side, and multiply it by the number of sides.

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Answer:

b = 2a + c

Step-by-step explanation:

Given

a = [tex]\frac{1}{2}[/tex] (b - c)

Multiply both sides by 2 to clear the fraction

2a = b - c ( add c to both sides )

2a + c = b

After the rearrangement, the equation as b the subject b = 2a + c.

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given that the equation;

a = 1/2 ( b - c)

Rearranging the equation;

a =  1/2 ( b - c)

Multiplying 1/2 to the the terms of brackets,

a = (b/2) - (c/2)

b/2 = a + (c/2)

Divide by 2 on both sides of the equation;

b = 2a + c

Therefore, the equation as b the subject b = 2a + c.

To learn more about the equation;

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1. x + 20

2. 0

3. 2x - 8

4. 95x + 10

5. -9x - 6

6. 4x + y - 5

7. -x + 6y + 5

8. x + y - 15

9. x + 4y + 4

• When working with variables and numbers, you have to put the variables first (in alphabetical order) and then the numbers.

• To evaluate an algebraic expression, we find the value of the expression when the variable is replaced by a given number.

• To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.

• When we are not given a number for the variable in the expression, we have to group like-terms.

1. 4x + 12 - 3x + 8

2. -8x + 1 + 2x - 1 + 6x

3. 4x - 3 - 2x - 5

4. 100x + 5 - 5x + 5

5. -4x - 4 - 2 - 5x

6. 2x - 1 + 2x - 4 + y

7. 5y - x + 2y - y + 5

8. -15 + 3y - 3x - 2y + 4x

9. 4 - 3y + 3x - 2x - y

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Answer:

Area of the square is 2916 [tex]m^{2}[/tex].

Step-by-step explanation:

Let the breadth of the rectangle be represented by w. So that;

length of rectangle = 5w

Area of rectangle = length x breadth

                             = 5w x w

1620 = 5[tex]w^{2}[/tex]

divide through by 5 to have,

[tex]w^{2}[/tex] = 324

w = [tex]\sqrt{324}[/tex]

   = 18

Thus, the breadth of the rectangle is 18 m.

length = 5 w = 5 x 18

           = 90 m

The length of the rectangle is 90 m.

Perimeter of the rectangle = 2(l + w)

                                  = 2( 90 + 18)

                                  = 216 m

Perimeter of a square = 4l

where l is the length of its side.

Given that the perimeters of the rectangle and square are equal, then;

4l = 216

l = [tex]\frac{216}{4}[/tex]

 = 54

length of the side of square is 54 m.

Therefore,

Area of square = [tex]l^{2}[/tex]

                         = [tex]54^{2}[/tex]

                        = 2916

Area of the square whose perimeter is equal to that of the rectangle is 2916 [tex]m^{2}[/tex].

Answer:

6 baskets

Step-by-step explanation:

The mode of a set of a data is the value which appears the most often. Here, we can see from the line plot that 6 shows more than any other value.

Answer: 1 1/2 or 1.5 cups of sugar

Step-by-step explanation:

4 cups of flour get 6 cups of flour

1 cup of flour will be 6 ÷ 4

6 ÷ 4 = 1.5

1 cup of flour gets 1.5 cups of sugar

Hope this helped!

Answer:

19

Step-by-step explanation:

the side is same as 57

what times 3 is 57?

57/3 is 19

AB is 19

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Answer:

In this equation, let "x" equal the rate at which the tub will be filled. The tub holds 32 gallons, which will be one half of the equation. The tub already contains 12 gallons, so this will be half of the other side of the equation. The rate is "x" gallons per minute, and the time it required was 5 minutes, so this would be "5x". Placing all these parts together gives an equation of (32 = 5x + 12) gallons per minute dispensed.

STEP - STEP EXPLANATION:

Trying to factor by splitting the middle term

Factoring 4x2-19x-5

The first term is, 4x2 its coefficient is 4 .

The middle term is, -19x its coefficient is -19 .

The last term, "the constant", is -5

Step-1 : Multiply the coefficient of the first term by the constant 4 • -5 = -20

Step-2 : Find two factors of -20 whose sum equals the coefficient of the middle term, which is -19 .

-20 + 1 = -19 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -20 and 1

4x2 - 20x + 1x - 5

Step-4 : Add up the first 2 terms, pulling out like factors :

4x • (x-5)

Add up the last 2 terms, pulling out common factors :

1 • (x-5)

Step-5 : Add up the four terms of step 4 :

(4x+1) • (x-5)

Which is the desired factorization

Equation at the end of step

2

:

(x - 5) • (4x + 1) = 0

STEP

3

:

Theory - Roots of a product

3.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

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Answer:

16 $10s & 1 $5

Step-by-step explanation:

16 × 10 = 160

5 × 1 = 5

Answer:

i think it 77 hope this helps

Answer:

C.

Step-by-step explanation:

You'll find that both equal 3x+3. Have a great day!

Answer: C

Step-by-step explanation:

x + x + x + 1 + 1 + 1

Combine like terms

3x + 3

3 (x + 1)

Distribute

3x + 3

Answer: 35/11 or 3 2/11

Step-by-step explanation:

[tex]4\frac{3}{8} /1\frac{3}{8}\\[/tex]

[tex]\frac{35}{8}/\frac{11}{8}\\[/tex]

[tex]\frac{35}{8} * \frac{8}{11}\\[/tex]

[tex]\frac{35}{11} =3\frac{2}{11}[/tex]

Answer:

[tex]4 \frac{3}{8} \div 1 \frac{3}{8} = \frac{35}{8} \div \frac{11}{8} = \frac{35}{8} \times \frac{8}{11} \\ = \frac{35}{11}= \boxed{3 \frac{2}{11}} [/tex]

Answer:

Velocity of light is ~3 x 10^5 km/sec. Time taken for light to reach the earth is ~ (1.496 x 10^8)/(3 x 10^5)sec = 1496/3 sec = 498.3sec = 8min 18.3 sec. 1.496X10*8 * .00257 = 384,472 km. Circumference of Earth = 6.28*6378=40,054 km. 384472/40054=9.6 = trips around earth's equator. 1.496 * 108 kilometers = 161,568 meters. D. 0.00000001496

Step-by-step explanation:

Required information The Foundational 15 [LO8-2, LO8-3, LO8-4, LO8-5, LO8-7, LO8-9, LO8-10]

The expression of the Earth 1.496 x 10^8 km  in standard form is 149,600,000

Standard form is a simple way of expressing very large numbers into small sizes for easier calculation.

The given information is already in its standard form as 1.496 × 10⁸ km.

We can express it in its ordinary form by shifting the decimal place to the right side in terms of the power with which it is being raised.

Here:

1.496 × 10⁸ km = 149,600,000 km

Learn more about standard form here:

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Answer:

800ml

Step-by-step explanation:

Convert 1/2L to ml.

One liter is 1,000 millimeters.

1000 * 1/2 = 500

1/2L is 50 ml.

Out of the given options, 800 ml is the biggest number. This means that 800 ml is the largest quantity.

Hope this helps.

Answer:

$38.50

Step-by-step explanation:

$700 times 0.055= 38.50

Answer:

2, 4 6 and 8

Step-by-step explanation:

Given the range of a function expressed as ƒ(x) = -6x + 11 where x are the values of the domain

Given the follwing range f(x) =  {–37, –25, –13, –1}, we are to find the corresponding value of x;

-37 = -6x + 11

-37 - 11 = -6x

-48 = -6x

x = -48/-6

x = 8

if f(x) = -25

-25 = -6x + 11

-6x = -25-11

-6x = -36

x = -36/-6

x = 6

if f(x) = -13

-13 = -6x + 11

-6x = -13-11

-6x = -24

x = -24/-6

x = 4

if f(x) = -1

-1 = -6x + 11

-6x = -1-11

-6x = -12

x = -12/-6

x = 2

Hence required domain values are 2, 4 6 and 8

Answer:

I cant do the exact math with pi right now but the diameter of the largest circle is 18

Step-by-step explanation:

one of them is not the radius because it doesn't go off the very middle point in the circle, so you should add

Answer:

The measure of each interior angle of a regular decagon is 144. The measure of each interior angle of a regular nonagon is 140. Step-by-step explanation:

Sorry if am wrong.

Answer:

[tex]\huge\boxed{\sf x = 37}[/tex]

Step-by-step explanation:

We know that,

The sum of interior angles of a triangle is 180 degrees.

So,

2x + 4 + 2x - 9 + x = 180

5x - 5 = 180

Add 5 to both sides

5x = 180 + 5

5x = 185

Divide both sides by 5

x = 185 / 5

x = 37

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

[tex] \underline{\boxed{ x=50}}[/tex]

Step-by-step explanation:

[tex]164 = x + 114 \\ x = 164 - 114 \\ x =50[/tex]

Answer:

No

Step-by-step explanation:

Because 50+30 is not 180

Answer:

Please check the explanation.

Step-by-step explanation:

We know that when two lines intersect we get a pair of opposite angles.

According to the vertical angle theorem, if two angles are vertical then the measure of each angle will be the same i.e. the angles will be congruent.

Identifying angle types:

From the figure, it is clear that

The angle (9y+7)° and (2y+98)° are opposite angles.

Hence,

Determining the equation

As the vertical angles are congruent, so

(9y+7)° = (2y+98)°

Steps solving the equation

We know the equation of vertical angles (9y+7)° and (2y+98)° such as

(9y+7)° = (2y+98)°

solving for y

9y - 2y = 98 - 7

7y = 91

divide both sides by 7

7y/7 = 91/7

y = 13

Therefore, the value of y = 13

Answer:

(x - 5)² + 2

Step-by-step explanation:

x²-10x+27 = (x²-10x+25) + 2 = (x - 5)² + 2