The principal amount, $5500, earns 3.75% interest compounded continuously.

a. Write the function that represents the value of the account at any time, t.

b. What will the value be after 6 years?

Answer:

Length = 22 ; width = 10

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Perimeter = 64 feets

Length = 2 + (2*width)

Let :

Length = l ; width = w

Perimeter = 2((2 + (2w)) + w)

64 = 2(2 + 3w)

64 = 4 + 6w

64 - 4 = 6w

60 = 6w

w = 60/6

w = 10

Width = 10

Length = 2 + (2*width) = 2 + (2*10) = 2 + 20 = 22

Answer:

The larger number is 98

Step-by-step explanation:

Let the numbers be a and b

a/b= 2/4

4a = 2b ------- 1

a + b = 147 -----2

a= 147 - b -------3

Substitute equation 3 into 1

4(147 -b) = 2b

588 - 4b = 2b

588= 2b + 4b

588 = 6b

b= 588/6

b= 98

Substituting b= 98 into 1

4a = 2(98)

4a = 196

a= 49

The larger number is 98

Answer:

Least common multiple (LCM) of 12 and 22 is 132

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

18 x 5 = 90 + 5 = 95

19 x 5 =95

18x + 5 = 19x

(alternate exterior angles)

5 = 19x - 18x

5 = x

Answer:it’s B I did the test

Step-by-step explanation:

Answer:

181.7m

Step-by-step explanation:

The set up is a right angled triangle with;

Height of the light house = 25m = opposite side

The distance of the boat from the base = 180m = Adjacent

The distance of the light beam from the house = Hypotenuse = x

Using pythagoras theorem;

x² = 25²+180²

x² = 625+32400

x² = 33025

x = √33,025

x = 181.7m

Hence distance of the light beam from the top of the lighthouse to the ground is 181.7m to the nearest tenth

Answer:

Ordinary least squares

Step-by-step explanation:

The ordinary least squares means the estimations that done for parameters in a regression model by lowering the sum of the square residuals. It also predicted the coefficient of the regression equation that generate the actual and the expected values of the dependent variable is known as ordinary least squares

Therefore the above represent the answer

Answer:

A negative slope means that two variables are negatively related; that is, when x increases, y decreases, and when x decreases, y increases. Graphically, a negative slope means that as the line on the line graph moves from left to right, the line falls.

hope this helps! happy new year!

Answer:

A negative slope means that two variables are negatively related; that is, when x increases, y decreases, and when x decreases, y increases. Graphically, a negative slope means that as the line on the line graph moves from left to right, the line falls.

Step-by-step explanation:

Hope this helps (づ｡ ◕‿‿◕｡) づ

Luv ya

Answer: Taylor has 10 dimes and 12 quarters.

Step-by-step explanation: you should end up with the equation y = x + 2 which is where it explains that he had two more quarters than dimes.

Then, your other equation starts with .10x +0.25y = 4 “, but then simplified, which should give u y = -2/5x +16. Once you graph both the top and this equation, they should intersect at the 4, which leads back to your money amount of 4 dollars.

Answer:

y = 4

Step-by-step explanation:

6y + 30 = 54

subtract 30 from each side

6y = 24

divide each side by 6

y = 4

Answer:

y=4

Step-by-step explanation:

3(2y+10)=54

6y+30=54

-30       -30

6y=24

/6   /6

y=4

Answer:

4(1 – x) + 2 x = -3( x + 1)

first do 4 time 1= 4

then do 4 times x =4x

now the equation should look like this

4-4x+2x=-3(x+1)

then do the other side of the equation

-3(x+1)

=-3x-3

Now collect the like terms:

-4x-2x

now the equation should look like this

4-2x=-3x-3

now add 3x add on both sides

4-2x+3x=-3

put the 4 on the other side

-2x+3x=-3-4

now again collect the like terms (-2x+3x=1 which is just x and -3-4 =-7)

x=-7

answer

x=-7

Answer:

  [tex]x=-7[/tex]                    PLEASE MARK ME AS BRAINLIEST

Step-by-step explanation:

[tex]4(1-x)+2x=-3(x+1)[/tex]

Distribute 4 through the parentheses

[tex]4-4x+2x=-3(x+1)[/tex]

Distribute -3 through the parentheses

[tex]4-4x+2x=-3x-3[/tex]

Collect like terms

[tex]-4x+2x[/tex]

Collect like terms by calculating the sum or difference of their coefficient

[tex](-4+2)x[/tex]

Calculate the sum

[tex]-2x[/tex]

[tex]4-2x=-3x-3[/tex]

Move variable to the left hand side and change its sign

[tex]4-2x+3x=-3[/tex]

Why move an expression to the right?

We want to move an expression to the right to write the equation in a specific way.

The opposite needs to be added to both sides to preserve the relation between the sides. That is called the addition and subtraction property of equality/inequality

Step 1

Example

take the equation:

[tex]x+a=b[/tex]

We want the expression a to be on the right hand side of the equation.

Step 1

example(cont)

To move the expression to the right -hand side, use the addition property , and add -a to both sides of the equation:

[tex]x+a+(-a)=b+(-a)[/tex]

Simplify the left hand side and remove the parentheses on the right hand side:

[tex]x+a+(-a)=b+(-a)\\x=b-a[/tex]

Now the expression a is on the right hand side :

[tex]x=b-a[/tex]

Step 2:

Notice! when comparing  the beginning and the ending equation, it seems like we just moved the expression to the right hand side and changed its sign:

[tex]x+a=b\\x=b-a[/tex]

This is a shorter way to use the same property.

Now came back to the original equation

[tex]4-2x+3x=-3[/tex]

Move constant to to the right hand side and change its sign

[tex]-2x+3x=-3-4[/tex]

collect like terms

[tex]x=-3-4[/tex]

calculate the difference

[tex]x=-7[/tex]

Why move a constant to the right?

We want to move a constant to the right because the mathematicians agreed upon a convention that the constants in the equation and inequalities always need to be on the right-hand side.

The opposite needs to be added to both sides to preserve the relation between the sides. That is called the addition and subtraction property of equality/inequality.

Step 1

example

Take the equation:

[tex]x+3=5[/tex]

We want the constant 3to be on the right hand side of the equation.

Step 1

example (cont)

To move the constant to the right-hand side, use the addition property, and add -3 to both sides of the equation:

[tex]x+3+(-3)=5+(-3)[/tex]

Simplify the left-hand side and remove the parentheses on the right - hand side:

[tex]x+3+(-3)=5+(-3)\\x=5- 3[/tex]

Now , all the constants are on the right- hand side:

[tex]x=5-3[/tex]

Step 2

Notice! when comparing the beginning and the ending equation, it seems like we just moved the constants to the right hand side and change its sign:

[tex]x+3=5\\x=5-3[/tex]

This is a shorter way to use the same property.

PLEASE MARK ME AS BRAINLIEST

Answer:

Non of the above

Step-by-step explanation:

[tex]3 {x}^{2} + y \\ = x(3x + \frac{y}{x} ) \\ or \\ = y( \frac{ 3{x}^{2} }{y} + 1)[/tex]

Answer:

D. Prime

I just took the test

Step-by-step explanation:

Answer:

divide 195 by 2 , 5 times. Or 195 × 0.5^5

Answer:

19 - 2^(7/4)√3  or

13.174 to nearest thousandth.

Step-by-step explanation:

I am interpreting this as x^2 - 2√(2x) + 1

p(3√2) = (3√2)^2 - 2√(2*3√2) + 1

= 18 - 2√(6√2) + 1

= 19 - 2* √6 * 2^1/4

= 19 - 2*√2*√3*2^1/4

= 19 - 2^(7/4)√3.

=  13.174 to the nearest thousandth.

Answer:

Look at the attachment

The bottom equation states that:

Triangle Area = side^2 * (sqr root 3) / 4 or

Triangle Area = side^2 * .4330127..

So, we'll say the side originally equaled 1 and the new length is 7% longer ot it equals 1 + .07 or 1.07

Looking at the formula:

Triangle Area = 1.07^2 * .4330127...

the .4330127 doesn't change but the side increases to 1.07

and the change in area is 1.07^2 or 1.1449 times larger.

So, the area is 14.49% larger.

Step-by-step explanation:

Answer:-44

Step-by-step explanation:

-16-(28)=-44

Answer:

-44

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

m - n

m = -16

n = 28

Step 2: Evaluate

Answer:

4t x 4t x 4t x 4t x 4t

Step-by-step explanation:

We have that for the Question "How to write (4t)^5 without exponents?" it can be said that to write (4t)^5 without exponents we have

(4t)^5 =1024 * t*t*t*t*t

From the question we are told

How to write (4t)^5 without exponents?

Generally the expression for (4t)^5   is mathematically given as

(4t)^5

Therefore

(4t)^5 =4^5 *t^5

(4t)^5 =1024 * t*t*t*t*t

Therefore

to write (4t)^5 without exponents we have

(4t)^5 =1024 * t*t*t*t*t

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Answer:

0.05 x 0.04 = 0.002

Step-by-step explanation:

Given:

5 column (hundred grid) = 5/100 = 0.05

4 row (hundred grid) = 4/100 = 0.04

Find:

Area equation

Computation:

Area equation = 0.05 x 0.04

0.05 x 0.04 = 0.002

Answer:

2x-2=-4

5/8x3/5= 15/40 then u simplify and get -4 3/8

Answer:

a

Step-by-step explanation:

Answer:

The fraction is 41/99.

Step-by-step explanation:

The steps are :

[tex]let \: x \: be \: fraction,[/tex]

[tex]x = 0.414141.....[/tex]

[tex]100x = 41.414141.....[/tex]

[tex]100x - x = 41.414141..... \: - \: 0.414141.....[/tex]

[tex]99x = 41[/tex]

[tex]x = \frac{41}{99} [/tex]

Answer:

a + b

Step-by-step explanation:

ax + ay + bx + by

a(x +y) +b(x + y)

(a + b) ( x + y)

therefore (a + b) ( x + y) divide x+y

x + y is canceled out both in the denominator and numerator

= a+b

Answer:

a + b

Step-by-step explanation:

Answer:

[tex]B.2w+2l[/tex]

Step-by-step explanation:

[tex]As\ we\ are\ given\ that,\\Perimeter\ of\ any\ rectangle=w+l+w+l\\By\ adding\ the\ like\ terms\ together\ in\ the\ expression\ w+l+w+l,\\we\ get:\\(w+w)+(l+l)\\=2w+2l[/tex]

Answer:

32-16=16

16×9=144

Step-by-step explanation:

quantity: the amount of smth

Hope it helps, have a great day!

The quantity resulting from the expression "32 minus 16 multiplied by 9" is -112.

In the given context, "quantity" refers to a specific numerical value or amount. It represents a numerical value that can be measured, counted, or expressed in terms of units. In this case, the quantity is being used to describe the result of a mathematical operation.

In general, when we refer to a quantity, we are focusing on the numerical value itself, irrespective of the units or context. It provides a way to quantify or express a particular amount or value in a given situation.

In the expression "32 minus 16 multiplied by 9," the quantity refers to the value obtained from performing the mathematical operation. To evaluate this expression, we follow the order of operations, which dictates that multiplication should be performed before subtraction:

32 - 16 x 9

Multiplying 16 by 9 gives us 144, and subtracting that from 32 yields the quantity:

32 - 144 = -112

Therefore, the quantity resulting from the expression "32 minus 16 multiplied by 9" is -112.

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Answer:

-3

Step-by-step explanation:

Answer:

3. the numbers between -5 and 5

Step-by-step explanation:

Let set A= [tex]\{x| x>-5\}[/tex] and set [tex]B=\{x | x<5\}[/tex].

The solution set of A and B is the solution set of A∩B

The solution set of A is all the real number x which is greater than -5.

The solution set of B is all the real number x which is less than 5.

Therefore, the solution set of A∩B is all the real numbers between -5 and 5.

Hence, option (3) is correct.

Answer: -1/3x - 6

Step-by-step explanation: perpendicular lines have opposite reciprocal slopes

original slope of 3 —-> -1/3

then our point is (0, -6) let’s plug that into y=-1/3x+b

-6 = -1/3(0)+b

b= -6

put it all together: y = -1/3x -6