You invest $4,300 in an account that pays you an interest rate of 8.5%, compounded continuously. Calculate the balance of your account after 10 years. Round your answer to the nearest hundredth.

Answers

Answer 1

Answer:

The amount is $8358.7 and the interest is $3858.7.

Explanation:

STEP 1: To find amount we use formula:

A = total amount

P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

Step-by-step explanation:


Related Questions

How many weeks will Sanjay need to ride his bike to work in order to ride 150 kilometers?

Answers

Answer:

This is because he rides 37.5 k/m every week. Multiply that by four and you get 150

Answer:

Sanjay will need to ride his bike to work for 4 weeks in order to ride 150 kilometers.

Plz I need help with this I am struggling failing math

Answers

Answer:

CB = 5, [tex]m\angle{BDA} = 23^\circ[/tex]

Step-by-step explanation:

Assuming that the marks next to angle D mean that [tex]\angle{BDA} \cong \angle{BDC}[/tex], then there is enough information to conclude that the two right triangles are congruent (HA theorem--hypotenuse/angle).

Then all the corresponding parts of the two triangles are congruent, including segments BA and BC, making them the same length.

4x + 1 = 9x - 4

Solving for x,

1 = 5x - 4

5 = 5x

1 = x

Pluggint x = 1 into the two expressions reveals that the length of segment CB is 5.

The two small angles at D are congruent, so [tex]m\angle{BDA}=23^\circ[/tex].

Could y’all help me out with this?

Answers

Answer:

M' (5,-1)

D' (5,1)

A' (3,4)

W' (4,-1)

Step-by-step explanation:

We want to find the coordinates of Quadrilateral MDAW with vertices M(-1, 5), D(1,5), A(4,3), and W(-1,4) after a reflection across y = x.

We can find these coordinates by following the following rule:

Reflection over y = x rule : ( x , y ) ---> ( y , x )

Explanation of rule: Simply swap the places of the x and y values.

Applying rule to given coordinates:

M(-1,5) -----> swap x and y values -----> M'(5,-1)

D(1,5) ----> swap x and y values -----> D'(5,1)

A(4,3) -----> swap x and y values -----> A'(3,4)

W(-1,4) -----> swap x and y values -----> W'(4,-1)

So the coordinates of Quadrilateral MDAW  after a reflection over the y = x  line are M'(5,-1) , D'(5,1) , A'(3,4) , W'(4,-1)

For more validation, refer to the attached image

Dr. W Sweet Rides Car Rental charges a flat fee of $24 and an additional $0.35 for every mile the car is driven. Which function models the total cost, C(x), of renting a car for x miles?

Answers

Answer:

[tex]c = 0.35 x + 24[/tex]

Step-by-step explanation:

First, let's go over the information we have. We know that no matter what, Dr. W Sweet will charge a base fee of $24, and that for each additional mile, he will charge 35¢. Now let's make an equation reflecting this information:

cost = 35¢ (number of miles) + $24 (starting fee)

We can also write this like this:

[tex]c = 0.35x + 24[/tex]

If you want to test this equation, put in a value for the x variable, like so:

Value: 25 miles

[tex]c = 0.35(25) + 24 \\ c = 8.75 + 24 \\ c = 32.75[/tex]

For this situation, the cost will be $32.75. I hope this helps! If you have questions, comment on this response, I should write back reasonably quickly.

The roots of the equation 0 = x^3+ 2x^2– 3x are: _________.
These are the x-intercept values at these points: _________.

Answers

The answer is 1,0,-3

Write an equivalent expression.

1. 8(y - 7)

2. -2x + 7

3. 3/5x + 2/5 + 3/5x

Answers

Answer:

8(y - 7) =8y-7-2x+7=7/2=3.5

The equivalent expressions are;

1. 8 (y - 7) = 8y - 56

2. - 2 (x + 7) = - 2x - 14

3. 3/5x + 2/5 + 3/5x = (6x + 2) / 5

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expressions are;

1. 8 (y - 7)

2. - 2 (x + 7)

3. 3/5x + 2/5 + 3/5x

Now,

Solve all the expression as;

1. 8 (y - 7) = 8 × y - 8 × 7

              = 8y - 56

Thus,  8 (y - 7) = 8y - 56

2. - 2 (x + 7) = - 2 × x - 2 × 7

                  = - 2x - 14

Thus, - 2 (x + 7) = - 2x - 14

3. 3/5x + 2/5 + 3/5x = 3/5x + 3/5x + 2/5

                              = (3x + 3x)/ 5 + 2/5

                              = 6x / 5 + 2/ 5

                              = (6x + 2) / 5

Thus, 3/5x + 2/5 + 3/5x = (6x + 2) / 5

Therefore, The equivalent expressions are;

1. 8 (y - 7) = 8y - 56

2. - 2 (x + 7) = - 2x - 14

3. 3/5x + 2/5 + 3/5x = (6x + 2) / 5

Learn more about the expression visit:

https://brainly.com/question/25968875

#SPJ2

May someone help me with this please?​

Answers

Answer:

Count to 2 and add 3/8

Step-by-step explanation:

Go to 2 and on the 3rd little line

You are thrown 4 fastballs and you must hit them in a fair zone to count.
If you hit al 4 in a fair zone, you win the big prize
If you hit 3 or 2 in a fair zone, you win a medium size prize
If you hit 1 in the fair zone, you get the small prize
If you hit zero, you are not a winner and receive nothing
Hint Create a tree diagram to help calculate the probabilities.
What is the probability you will win the big prize?
O 1/5
O 3/32
none of the above
2/9
1/16

Answers

Using the binomial distribution, it is found that there is a [tex]\mathbf{\frac{1}{16}}[/tex] probability you will win the big prize.

For each ball, there are only two possible outcomes, either it is hit or it is not. The probability of hitting a ball is independent of any other ball, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.

In this problem:

4 balls are thrown, hence [tex]n = 4[/tex]0.5 probability of hitting each of them, hence [tex]p = \frac{1}{2}[/tex]

You win the big prize if you hit 4 balls, hence, the probability is P(X = 4).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{4,4}.\left(\frac{1}{2}\right)^{4}.\left(\frac{1}{2}\right)^{0} = \frac{1}{16}[/tex]

[tex]\mathbf{\frac{1}{16}}[/tex] probability you will win the big prize.

A similar problem is given at https://brainly.com/question/24863377

Answer:

1/16

Step-by-step explanation:

yurr

There are 42 students separated into 6 groups for a field trip. How many students are in each group

Answers

Answer: 7 students in each group

Explanation: 42 divided by 6 = 7

Answer:

There is 7 students in each group

Step-by-step explanation:

So it's basically easy math 42 divided by 6 equals 7 :)

Hopes This Helps :)

pls hurry will mark brainliest pls show
solve the move step equation
- 7x + 8 = 6x - 44

Answers

Answer: The answer is X = 4.

Answer:

x = 4

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& roots)

Multiplications

Divisions

Additions

Subtractions

First, subtract 6x and 8 from both sides of the equation:

-7x (-6x) + 8 (-8) = 6x (-6x) - 44 (-8)

-7x - 6x = -44 - 8

-13x = -52

Next, fully isolate the variable, x, by dividing -13 from both sides of the equation:

(-13x)/-13 = (-52)/-13

x = -52/-13 = 4

x = 4 is your answer.

~

What is an equation of the line that passes through the points (3,4) and (-4, -3)?

Answers

Answer:

y=x+1

Step-by-step explanation:

1) Find the slope

m=-3-4/-4-3

m=-7/-7

m=1

2) Use y=mx+c

by using the point (3,4)

4=1(3)+c

4=3+c

c=1

3) The answer

y=x+1


Simplify these expressions
a) x^5 x x^2
b) y^5 x y

Answers

The answer is
X^8
Y^6

If you subtract 17 from my number and multiply the difference by ​-2, the result is ​-10." What is the ​number?

Answers

Answer:

22

Step-by-step explanation:

-10/-2 is 5

5+17 is 22

What’s 10^102????????€

Answers

Answer:

(2^102•5^102)

Step-by-step explanation:

(10)^102 = (2•5)^102 = 2^102 • 5^102

there is a proportional relationship between x and y. complete the table with the missing values

Answers

Answer:

I think you forgot to attach the table

Martin bikes at a constant speed to a finish line that is 15 mi away. After 20 mins, he is 10 mi from the finish line. After 30 mins, he is 7.5 mi from the finish line. If a graph shows his distance y from the finish line, in miles, after x minutes, what
Is the slope of the graph, and What does it represent?
A 15; Martin's initial distance
from the finish line
B 15; Martin's final distance from the finish line
C -0.25; the rate at which
Martin's distance from the
finish line changes per minute
D 0.25; the rate at which Martin's distance from the start line changes per minute

Answers

The answer is C. -0.25; the rate at which Martin's distance from the finish line changes per minute

HELP MEEEEEEEEEEEEEEEE!!!

Answers

Answer:

enlargement: >1reduction: <11: same size

Step-by-step explanation:

The scale factor of an enlargement is greater than 1.

The scale factor of a reduction is less than 1.

A scale factor of 1 will produce a congruent figure, one the same size as the original.

_____

A longer way to say it

A figure is enlarged when its dimensions are greater than those of the original. Then the ratio of dimensions will be ...

  (greater than original)/(original) = greater than 1

Similarly, a figure is reduced when its dimensions are less than those of the original:

  (less than original)/(original) = less than 1

Multiplying dimensions by a scale factor of 1 does not change them. The scaled figure is the same size as the original.

You can answer the ones you want to. At least one.


Have no idea how to do this. Please help I beg you.

Answers

Answer:

Step-by-step explanation:

5a.) It starts with two at time one and increases by one each time

5b.) x+1

6.) Formula: (2/3)(x-1)+1, the fifth term would be (2/3)*(5-1)+1= 11/3

7a.) I will leave you to make the table. n+2 is wrong because it's increasing by 2 blocks each time

7b.) 2n+1

8a.) x²

8b.) just draw a 6x6

8c.) 12²=144

If f(x)= x2 - 4x - 4, find the input values that make the function 0.

Answers

Step-by-step explanation:

f(x) = x² - 4x - 4

the general formula for solving such a quadratic equation (for f(x) = 0) is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -4

c = -4

x = (4 ± sqrt(4² - 4×1×-4))/(2×1) = (4 ± sqrt(16 + 16))/2 =

= (4 ± sqrt(2×16))/2 = (4 ± 4×sqrt(2))/2 = 2 ± 2×sqrt(2)

x1 = 2 + 2×sqrt(2)

x2 = 2 - 2×sqrt(2)

i need help... I cant figure This one out!! Lol someone help!

Answers

Answer:

x= 48

Step-by-step explanation:

x+90+42=180

x= 48

please mark brainliest

I watch television from 5 o clock until half past. How long do I watch for?

Answers

Answer:

5:30

Step-by-step explanation:

Important info:

watch television from 5 o clock until Half Past.

Question to Answer:

How long did you watch.

Note:

Half of 1 Hour = 30 Minutes

Solution:

5:30

Therefore You watch television until 5:30

if r and s represent the solutions of the equation below and r>s, what is the value of the difference r-s?

(3x+14)x=5

Answers

Answer:

16/3

Step-by-step explanation:

(3x + 14)x = 5

3x² + 14x = 5

3x² + 14x - 5 = 0

3x² + 15x - x - 5 = 0

3x(x + 5) - 1(x + 5) = 0

(3x - 1)(x + 5) = 0

x = 1/3 & -5

Here,

r = 1/3

s = -5

r - s

1/3 - (-5)

1/3 + 5

1 + 15/3

16/3

the value of the difference r-s is [tex]\bold{\frac{16}{3}}[/tex]

Answer:

Solution given:

(3x+14)x=5

opening bracket

3x²+14x=5

3x²+14x-5=0

Doing middle term factorisation

3x²+(15-1)x-5=0

3x²+15x-x-5=0

3x(x+5)-1(x+5)=0

(3x-1)(x+5)=0

either

x=-5

or

3x-1=0

3x=1

x=⅓

According to question value of x is r>s

so

⅓>-5

so

r=⅓

and

s=-5

Now

r-s=-(-5)=[tex]\frac{1+5*3}{3}=\frac{16}{3}[/tex]

Hey guys, i need help on this one, thanks in advance.

Find the slope of the equation:

x - 5 = 3 ( y + 4 ) -2y + 1

if you could add step's please do.

Answers

Answer:

slope = 1

Step-by-step explanation:

1) expand those brackets on the left side my multiplying

x - 5 = 3y + 12 - 2y + 1

2) simplify by collecting like terms

x - 5 = y + 13

3) bring -5 to the right side by adding 5

x = y + 18

4) let's rearrange this equation in the form y = mx + c where m is the gradient (slope) and c is the y intercept. by subtracting 18 on both sides

y = (1)x - 18 (there is a 1 in front of the x, but we don't write it like that. m is 1)

y = x - 18

the slope is the gradient, which is 1

For which of the following geometric series can the infinite sum be determined? a1 = –0.25, r = –3 a1 = 0.75, r = 4 a1 = 3, r = 2 a1 = 5, r = –0.5

Answers

So, the infinite sum can be determined in the geometric series a₁ = 5, r = -0.5.

For a geometric series the infinite sum is given by s = a/(1 - r) where a = first term, r = common ratio and |r| < 1.

For each of the geometic series given below, we need to determine if |r| < 1.

For a₁ = -0.25, r = - 3, |r| = |-3| = 3 > 1

For a₁ = 0.75, r = 4, |r| = |4| = 4 > 1

For a₁ = 3, r = 2, |r| = |2| = 2 > 1

For a₁ = 5, r = -0.5, |r| = |-0.5| = 0.5 < 1

Since we require |r| < 1 to find the infinite sum and |r| in the last geometric series |r| = 0.5 < 1, the infinite sum can be found in the geometric series a₁ = 5, r = -0.5..

So, the infinite sum can be determined in the geometric series a₁ = 5, r = -0.5.

Learn more about infinite sum of geometric series here:

https://brainly.com/question/16037289

Pls due tmr pls pls fast I need it like rn

Answers

Answer:

Step-by-step explanation:

50 of 100

= 50%

120 of 1

= 1.2%

Tell whether each equation has one, zero, or infinitely many solutions.
Solve the equation if it has one solution.



4x + 2 = x + 8 PLZZZZZ

Answers

Answer:

Exactly One Solution

Step-by-step explanation:

4x + 2 = x + 8

3x = 6                Simplify.

x = 2                  Divide by 2.

Answer:

One solution, x = 2

Step-by-step explanation:

4x + 2 = x + 8 (Given)

4x = x + 6

(The 2 is subtracted from the right side, therefore the left side is also subtracted. 8 becomes 6.)

3x = 6

(The x is subtracted from the right side to the left side. Thus turning the 4x into 3x)

x = 2

(The 3 is divided out to get x alone. So, the 6 has to be divided by 3 as well, turning it into 2)

Please help, due date is tomorrow

Answers

Answer:

1/4 is on the second line

3/8 is the the third one

3/8 is bigger

Hope This Helps!!!

Answer:

Hope this helps you.......

is zero a rational number?​

Answers

Yes 0 is a rational number

Answer:

yes

Step-by-step explanation:

we know that every integer is a rational number and Zero can be represented as the ratio of two integers.

GivenAC ⊥ BD , complete the flowchart proof below. Note that the last statement and reason have both been filled in for you. please giving brialist!!!

Answers

Answer:

Here you go!!!!! Its correct let me know if you need any more problems for me to try and solve!!!

Step-by-step explanation:

pls answer quickly

Students at a school were asked to state their preferences in music. Results of the survey are shown in the circle chart.

What percent of students preferred rock and classical music?

A) 15%

B) 26%

C) 39%

D) 57%​

Answers

Answer:

B) 26%

Step-by-step explanation:

The yellow part of the graph represents Rock, which is 15%, and the red part of the graph represents Classical. So, you simply add them together.

Answer:

B) 26%.

Step-by-step explanation:

Find the Rock percentage in the chart. (15%)

Find the Classical percentage in the chart. (11%)

Add the Rock and Classical percentages together. (26%)

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