Levi invested $8,500 in an
account paying an interest rate of 3.4%
compounded continuously. Assuming no deposits or withdrawals are
made, how much money, to the nearest ten dollars, would be in the
account after 18 years?

Answers

Answer 1

The amount of money after 18 years when the interest is compounded continuously is $15725.

What is compound interest?

The process of calculating interest and reinvesting it in an account's balance over an infinite number of periods is known as continuous compounding.

Given that Levi invested $8,500 in an account paying an interest rate of 3.4% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars?

The compound interest will be calculated as

[tex]P(t) = P_oe^{rt}[/tex]

[tex]P(t) = 8500\times e^{0.034\times 18}[/tex]

P(t) = 8500 x 1.85

P(t) = $15725

Therefore, the amount of money after 18 years when the interest is compounded continuously is $15725.

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Answer 2

Answer:15670

Step-by-step explanation:


Related Questions

Do this, for example, 3v x 2t =6vt

Answers

Algebraic expressions are mathematical expressions that combine a mathematical constant and variables.

What types of algebraic expressions are used in the multiplication of algebraic expressions?

The four basic mathematical operators are addition (+), subtraction (-), multiplication (), and division. Algebraic expressions are mathematical expressions that combine a mathematical constant and variables connected by one or more of the four basic mathematical operations (). Algebraic expressions include things like 4 x + 8, x - y, etc. The numbers 4 and 8 serve as the expression's given constants in the example 4 x + 8, while the word x serves as the equation's variable.

The process of multiplying two provided expressions made up of variables and constants is known as the multiplication of algebraic expressions. An expression that uses integer constants and variables together is called an algebraic expression.

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solve asap pls. i need this done right now.

Answers

Answer:

-5/12

Step-by-step explanation:

Answer: 3 1/12

Step-by-step explanation: First We Would Do 2 1/2 + -7/6 First. We Would Get 1 1/3 Because We Change The Mixed Fractions Into Improper Fractions. So We Would Do 5/2 + - 7/6. We Would Then Find A Common Denominator Which Would Be 12. So 7/6 Would Be 14/12 & 5/2 Would Be 30/12. If You Did The Math Correctly You Would Get 1 1/3. Now 1 1/3 - 1 3/4 Would Be 3 1/12. You Would Change The Fractions To Improper Fractions And Then Subtract. You Would Also Need To Find The Common Denominator Which Is 12.

Hoped This Helped!

Which confidence level would produce the widest interval when estimating
the mean of a population based on the mean and standard deviation of a
sample of that population?

Answers

Answer:

99%

Step-by-step explanation:

which figure comes next in a pattern?

Answers

Answer:

square

Step-by-step explanation:

need more information

9x - 4 - 5x + 7

evaluate the above for x = 2

Answers

Answer: 11

Step-by-step explanation:

9(2) - 4 - 5(2) + 7
18 - 4 - 10 + 7
14 - 10 + 7
4 + 7
11

Sydney wants to make 15 rings, and each ring requires 60 beads. That means you need to multiply 60 beads by 15 rings to see how many beads

Answers

Answer:No

Step-by-step explanation:

Sydney wants to make 15 rings, and each ring requires 60 beads. That means you need to multiply 60 beads by 15 rings to see how many beads she needs. 60 times 15 is 900. Sydney only has 852 beads.

Percent of Sales Method At the end of the current year, Accounts Receivable has a balance of $805,000, Allowance for Doubtful Accounts has a debit balance of $7,000, and sales for the year total $3,620,000. Bad debt expense is estimated at 3/4 of 1% of sales. a. Determine the amount of the adjusting entry for uncollectible accounts.

Answers

If Percent of Sales Method At the end of the current year, Accounts Receivable has a balance of $805,000.  the amount of the adjusting entry for uncollectible accounts is  $27,150.

How to find the amount of bad  debts?

a. Amount of bad  debts

Amount of bad  debts = Sales × Bad debts rate

Amount of bad  debts = $3,620,000×0.75%

Amount of bad  debts= $27,150

b. Adjusted balances

Accounts Receivable           $805,000

Allowance for Doubtful Accounts    $20,150

( $27,150- $7,000)

Bad Debt Expense                            $27,150

c. Net realizable value of accounts receivable

Net realizable value of accounts receivable = Balance of accounts receivables  - Allowance for Doubtful Accounts

Net realizable value of accounts receivable =  $805,000-  $20,150

Net realizable value of accounts receivable = $784,850

Therefore the amount of bad  debts is $27,150.

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Let X be a continuous random variable with the pdf given by f(x)= ax2 for 0 < x ≤ 3. Determine the value of constant 'a' correct to 2 decimal places.

Answers

The value of the constant a in f(x) = ax² such that 0 < x ≤ 3 is 0.11

How to determine the value of the constant a?

The probability density function is given as

f(x) = ax²

Such that

0 < x ≤ 3

To determine the value of the constant a, we make use of the following equation

[tex]\int\limits^a_b {f(x)} \, dx = 1[/tex]

So, we have:

[tex]\int\limits^3_0 {ax^2} \, dx = 1[/tex]

Factor out the constant

[tex]a\int\limits^3_0 {x^2} \, dx = 1[/tex]

Differentiate the equation

So, we have the following representation

[tex]a\frac{x^3}3 |^3_0 = 1[/tex]

Expand the equation

a[3³ - 0³]/3 = 1

Evaluate the difference

a[3³]/3 = 1

Evaluate the quotient

9a = 1

Divide both sides by 9

a = 0.11

Hence, the variable a is 0.11

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In parallelogram DEFG if EH=23 find HG.

Answers

The length of HG is also equal to 23, which is the length of EH because the line DF bisects EG in the parallelogram DEFG.

Diagonals of a parallelogram

A parallelogram is a quadrilateral, and the diagonals always bisect each other. However, diagonals only form right angles if the parallelogram is a rhombus or a square.

For the given parallelogram DEFG; the lines DF and EG are its diagonals, and the both bisect each other, that is the cut each other to form two equal parts.

So EH and HG are equal halves of the line EG

Therefore, since EH = 23 then HG = 23 because they form a diagonal of the parallelogram DEFG bisected by the diagonal DE.

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Please help I need detailed explication. I will give 100 points and brianliest.

Write a linear equation that represents the trend line that you have drawn. Be sure to use points that are located on your trend line to find the equation. Show your work.

Answers

Answer:

[tex]y=53.75x+70[/tex]

Step-by-step explanation:

From inspection of the given graph with added trendline:

y-intercept ≈ (0, 70)another point on the trendline ≈ (8, 500)

Find the slope of the trendline by substituting the identified points into the slope formula:

[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{500-70}{8-0}=53.75[/tex]

[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the trendline:

[tex]\implies y=53.75x+70[/tex]

If
log
b
(
8
)

0.8
log
b
(
8
)

0.8
and
log
b
(
5
)

0.6
log
b
(
5
)

0.6
,
log
b
(
200
)

log
b
(
200
)

Answers

The answer is [tex]Log_{b}200 = 2[/tex]

What is logarithm?

A logarithm is the power to which a number must be raised in order to get some other number.

Given that, [tex]log_{b} 8 = 0.8, log_{b} 5 = 0.6[/tex]

Using formula, [tex]log_{b} a+log_{b} b = log_{b} ab[/tex]

[tex]log_{b} 5 +log_{b} 5 = log_{b} 5*5 = log_{b} 25\\= 0.6+0.6 = 1.2\\\\[/tex]

[tex]log_{b} 200 = log_{b} 25*8\\log_{b} 25*8 = log_{b} 25 + log_{b} 25*8\\ log_{b} 25 + log_{b} 25*8 = 1.2 + 0.8 = 2[/tex]

Hence, The answer is [tex]Log_{b}200 = 2[/tex]

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What are the domain and range of h(x) = 3|x|?

Answers

Domain: [tex]([/tex] -∝,∝ [tex])[/tex], { [tex]x|x[/tex] ∈ R }

Range: [tex][0,[/tex] ∝ [tex])[/tex], { [tex]y|y\geq 0[/tex] }

Hope this helps!

100 points
Find the maximum value of the objective function and the values of x and y for which it occurs.
f=5x+2y
x+2y[tex]\leq[/tex]=6 x[tex]\geq[/tex]=0 and y[tex]\geq[/tex]=0
2x+y[tex]\leq[/tex]=6

Answers

Answer:

Maximum value of the objective function is 15

This occurs at x = 3, y = 0

Step-by-step explanation:

Attached is a plot of the two inequalities. The feasible region is the dark shaded area bounded by the points O, A, B and C

The maximum value of the objective function will occur at one of the corner points

The four corner points are

O (0,0)

A(0,3)

B(2,2)

C(3,0)

Plug in each of these values into the objective function, see which of the corner points will yield the maximum value and those will be the optimal values of x and y

Corner point  (x, y)                      O.F Value (5x + 2y)

(0, 3)                                             5(0) + 2(3) = 6

(2, 2)                                             5(2) + 2(2) = 14

(3, 0)                                              5(3) + 2(0)  = 15   (Maximum value)

if a1 =2 and an= -2an-1 then find the value of a4

Answers

The value of a is 1 and the value of a4 is 5

You have an ace, king, queen, and jack from a deck of cards. After shuffling the cards, you draw one card. Then you replace the card, shuffle again, and again draw a card. What is the probability that you will draw a king and a queen in either order? An ace, king, queen, and jack playing card. CLEARCHECK The total number of possible outcomes is x . The probability of drawing a king and a queen in either order is x

Answers

Answer:

[tex]\dfrac{2}{169}[/tex]

Step-by-step explanation:

A standard 52-card deck comprises 4 suits (Spades, Hearts, Diamonds, and Clubs).  

Each suit comprises 10 numerical cards (numbered 2 through 10, plus an "ace") and 3 "court" cards (jack, queen and king).

Therefore:

The total number of possible outcomes is 52.There are 4 kings and 4 queens in a standard deck of cards.

[tex]\boxed{\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}}[/tex]

[tex]\implies \sf P(Queen)=\dfrac{4}{52}=\dfrac{1}{13}[/tex]

[tex]\implies \sf P(King)=\dfrac{4}{52}=\dfrac{1}{13}[/tex]

Therefore, the probability of drawing a king, replacing the card, and drawing a queen is:

[tex]\implies \sf P(King)\;and\;P(Queen)=\dfrac{1}{13}\times \dfrac{1}{13}=\dfrac{1}{169}[/tex]

Similarly, the probability of drawing a queen, replacing the card, and drawing a king is:

[tex]\implies \sf P(Queen)\;and\;P(King)=\dfrac{1}{13}\times \dfrac{1}{13}=\dfrac{1}{169}[/tex]

Therefore, the probability of drawing a king then a queen, or a queen then a king is:

[tex]\implies \sf P(King\;and\;Queen)\;or\;P(Queen\;and\;King)=\dfrac{1}{169}+\dfrac{1}{169}=\dfrac{2}{169}[/tex]

Quadratic Equations and Complex Numbers

please give a clear answer, thank you <3

Answers

The result of the given terms is -2/5 as per the given question from complex numbers.

What is a complex number?

There is a multiplicative inverse for every nonzero complex number. As a result, complex numbers are a field with real numbers as a subfield. The complex numbers also form a two-dimensional real vector space with 1, I as the standard basis.

Because of this standard basis, the complex numbers form a Cartesian plane known as the complex plane. This allows for a geometric interpretation of complex numbers and operations, as well as the expression of geometric features and constructions in terms of complex numbers. Real numbers, for example, constitute the real line, which corresponds to the complex plane's horizontal axis.

=(((3/5)+(1/5)i)+((4/5)-(2/5)i) -((9/5)-(1/5)i))

=((3/5)+(4/5)-(9/5))-i((1/5)+i((1/5)-(2/5)+(1/5))

=(-2/5)+i(0)

= -2/5

Therefore, the result of the given terms is -2/5

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describe the transformations from the graph f(x)=|x| to the graph d(x) = -|x-3| + 5

Answers

The function d(x) = - |x - 3| + 5 is the result of using an horizontal translation, reflection about the x-axis and vertical translation on the function f(x) = |x|.

What kind of transformations are used to transform of the equation of a given graph?

In this question we have the definition of a function (f(x)) and its image (d(x)), the latter is the result of three rigid transformations:

Horizontal translation

f'(x) = f(x - 3)

Reflection about the x-axis

f''(x) = - f'(x)

Vertical translation

d(x) = f''(x) + 5

If we know that f(x) = |x|, then the series of rigid transformations is shown below:

Horizontal translation

f'(x) = |x - 3|

Reflection about the x-axis

f''(x) = - |x - 3|

Vertical translation

d(x) = - |x - 3| + 5

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What fraction represents the solution of 4p5 + 3 = 37 + 5p ?

Answers

Answer:

Step-by-step explanation:

p = 8

$1450 is invested at 6.5 % compounded continuously. How long will it take for the balance to reach $2900?​

Answers

Answer:

Step-by-step explanation:

94.25 days

Tell wether the data in the table can be modeled by a linear equation. Explain.

If possible, write a linear equation that represents y as a function of x. If not possible, leave blank.

Answers

Answer:

yes

By dividing the difference between each two corresponding data values, we get a constant rate of change.

y = 0.2x + 1.2

Step-by-step explanation:

1. Find the rate of change between each pair of data values in the table and compare to see if they are equal:

  (1.4-1.2)/(1-0) = 0.2/1 = 0.2

  (1.6-1.4)/(2-1) = 0.2/1 = 0.2

  (2-1.6)/(4-2) = 0.4/2 = 0.2

2. Substitute the numbers found in step 1 for m, and the y-value in the data pair (0,1.2) as b in the equation y = mx + b:  y = 0.2x + 1.2

Which function is best represented by the graph?

Answers

The exponential function graphed is the one in option A.

d(x) = (0.45)^x

Which is the function on the graph?

On the graph we can see some kind of exponential function, such that it has a vertical asymptote at x = -3

It also decreases as x increases, then the exponential function has a base that is smaller than 1 and larger than zero.

Because the y-intercept must be 1, we can discard option D where:

d(0) =4*(0.5)^0 = 4*1 = 4

Now, the only other option with a base between 0 and 1 is the first option:

d(x) = (0.45)^x

So that is the correct option.

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The length of a rectangle is three times its width. If the perimeter of the rectangle is 72 yd, find its length and width.

Answers

Therefore, the distanced of 2 sides of Length=6W. So, 6W + 2 W=8 Width=72 Perimeter. One side of Width= 1/8 of 72=9, 2 sides of Width=18.

Write an equation that represents the line. Use exact numbers.

Answers

8.5 because it is and i said so.

How do you solve -y +28 +y^2 =2y +2y^2 for y?

Answers

We are given the following:

Solve for y.

[tex]-y+28+y^2=2y+2y^2[/tex]

This being said, lets begin.

~~~~~~~~~~~~~~~~~~~~~~~

1. First, move [tex]2y^2[/tex] to the left side.

[tex]-y+28-y^2=2y[/tex]

2. Move [tex]2y[/tex] to the left side.

[tex]-y^2-3y+28=0[/tex]

3. Solve with the quadratic formula.

[tex]y_{1,2} = \frac{-(-3) -+ \sqrt{(-3)^2-4(-1)*28} }{2(-1)}[/tex]

4. [tex]\sqrt{(-3)^2-4(-1)*28}=11[/tex]

   [tex]y_{1,2} =\frac{-(3)-+11}{2(-1)}[/tex]

5. Separate the solutions.

[tex]y=\frac{-(-3)+11}{2(-1)} , y_{2} =\frac{-(-3)-11}{2(-1)}[/tex]

6.

[tex]y=\frac{-(-3)+11}{2(-1)}[/tex] [tex]=-7[/tex] ← First Solution

7.

[tex]y=\frac{-(-3)-11}{2(-1)} =4[/tex]   ←Second Solution

Final Solution:

[tex]y=-7,y=4[/tex]

Hope this helps!

brad says that if a second number is 125% of the first number, then the first number must be 75% of the second number. is he correct? justify your anwser.

Answers

The first number is 80% of the second number, not 75%, hence, Brad is wrong.

What is the percentage?

The percentage is a ratio that can be expressed as a fraction of 100.

Given that, a second number is 125% of the first number.

Let the first number be 100, then the second number will be:

125% of 100

= (125/100) × 100

= 125

Now, divide the first number, 100, by the second number, 125, and then multiply with 100 to know how much % the first number is of the second number:
(100/125) ×100%

=80%

Therefore, the first number is 80% of the second number, not 75%.

Hence, Brad is wrong.

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Identify the vertex of the parabola given by f(x) = 2x
2 – 12x + 7.

Answers

Considering the definition of vertex of a quadratic function, the vertex of the quadratic equation y=2x²−12x+7 is (3; -11).

Vertex of a quadratic function

A quadratic function is a variable of a polynomial function defined by f(x)=ax² + bx +c, where a≠0

The graphs of these functions correspond to vertical parabolas (symmetric axis parallel to the ordinate axis), with the particularity that:

when a>0, the parabola opens "up".when a<0, the parabola opens "down".

The vertex of a quadratic equation or parabola is the highest or lowest point on the graph corresponding to that function. The vertex is calculated as:

The value of -b÷(2a) indicates the value of x of the vertex.Substituting value of x into the function, you get the value of y of the vertex.Vertex in this case

In this case, the quadratic equation y=2x²−12x+7, where:

a=2b= -12c= 7

The value of x of the vertex is calculated as -(-12)÷(2×2)

Solving: -(-12)÷(4)= 12÷4= 3

The value of y of the vertex of the function is calculated as y=2×3²−12×3+7

Solving y= -11

Finally, the vertex in this case is (3; -11).

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Calvin drew a rectangle with one side greater than 10 but
less than 20. He multiplies to find its area.
Calvin's work: 8x3+8 x 10 = 104
Find the dimensions of Calvin's rectangle.
Explain how you know that your answer is correct.
Please help!!!!

Answers

Step-by-step explanation:

LET WIDTH= X

LENGTH= X+5

PERIMETER= 2(L+B)= 170

2(X+X+5)= 170

2X+5= 85

2X= 80

X= 40

WIDTH= 40

LENGTH= 45

The length of a rectangle is five more than the width. The perimeter is 170. What is the length and width? Write the equation and solve.

How many days are in 42 weeks?

294 days
504 days
1,008 days
2,520 days

Answers

Answer:

294 days

Step-by-step explanation:

Multiply 42 x 7 and you've got 294 days, which will be your answer.

Write a system of equations to describe the situation below, solve using substitution, and fill
in the blanks.
Nina is collecting pledges for a walk-a-thon. Her mother has pledged a flat donation of $12,
and her grandmother has pledged $1 per mile. If Nina walks a certain distance, the two
donors will end up owing the same amount. How much will each donor owe? What is that
distance?
Nina's mother and grandmother will each owe $
if she walks
miles.

Answers

Nina's mother and grandmother will each owe $12 if she walks 12 miles

What is an equation ?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal."

Standard form, slope-intercept form, and point-slope form are the three main types of linear equations.

According to the question we get to know

mother = 12

Grandmother = x

12 = x

x = 12

$ 12 , she walks 12 miles

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What is the common ratio and the general term equation, a, of the geometric sequence?

Answers

The common ratio and the general term equation, a, of the geometric sequence is A. r = 1/2 , an = 16(1/2)^(n - 1).

What is a geometric sequence?

A geometric sequence simply means the sequence of non zero numbers whereby the term after the first is simony found by multiplying the previous number by a common ratio

Based on the information, the common ratio will be:

= Second term / First term

= -8 / -16

= 1/2

The nth term will then be 16(1/2)^(n - 1).

The correct option is A.

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