how much would $500 invested at 5% interest compounded continuously be worth after 8 years?
a: $700
b:$709.58
c:$745.88
d.$738.73

Answers

Answer 1

Answer:

D

Step-by-step explanation:

We will need to use the compound interest formula:

A = P(1 + r)ⁿ

A = final amount

P = Initial amount

r = rate

n = time applied

Our equation will then look like this

A = 500(1.05)⁸

A = 738.72772


Related Questions

Can someone substitute this to find x and y​

Answers

9514 1404 393

Answer:

-3 adult tickets were sold18 children's tickets were sold

Step-by-step explanation:

Using the first equation to write an expression for y, we get ...

  y = 15 -x

Substituting that into the second equation gives ...

  30x +20(15 -x) = 270

  10x +300 = 270 . . . . . . . . . simplify

  10x = -30 . . . . . . . . . . . . . subtract 300

  x = -3 . . . . . . . . . . . . . . divide by 10

  y = 15 -(-3) = 18 . . . . find the corresponding value of y

The number of adult tickets sold is -3; the number of children's tickets sold is 18.

_____

Additional comment

If 15 tickets were sold for 270 the way your problem statement says, then the average ticket price is 270/15 = 18 per ticket. You show the ticket prices to be 20 for children and 30 for adults. That is, the average price is expected to be between 20 and 30. There is something wrong with this problem.

what the value of x if 27/5 =4/x​

Answers

hi here’s the answer. Ask if u don’t understand

Step-by-step explanation:

[tex] \frac{27}{5} = \frac{4}{x} \\ 27 \times x = 4 \times 5 \\ 27x = 20 \\ \frac{27x}{27} = \frac{20}{27} \\ x = \frac{20}{27} [/tex]

I am a three-digit number
My second an last digit are the same
The product of the digit of the numbe one less than me is not zero
The number one less than me is divisible by 45


Please help me solve this riddle. Thank you.

Answers

Answer:

766?

Step-by-step explanation:

Answer and Step-by-step explanation:

Three Digit Number.

***

Second digit = Last digit

*xx

I multiplied 45 from numbers 1-23, with 22 being the maximum # to multiply to get a 3 digit number that is divisible by 45, and 3 being the minimum # to multiply to get a 3 digit number that is divisible by 45.

Now to check which number it is.

When you multiply 45 by 17, you get 765. This number is supposed to be 1 less than the riddle's number. It also has to have the last 2 digits be the same.

So, lets add one to 765 to see if we solved the riddle.

765 + 1 = 766

766 is the answer!

#teamtrees #PAW (Plant And Water)

I hope this helps!

The square root of 424 is between what two integers

Answers

Answer:

20 and 21

Step-by-step explanation:

424 = 400 + 20 + 4. √400 = 20, as √4 = 2

21² = (20 + 1)² = 400 + 40 + 1 = 441 > 424.

write 32% as a fraction in simplest form

Answers

Answer:8/25

Step-by-step explanation:

Answer:

Step-by-step explanation:

32/100 = 16/50 = 8/25

In a certain country, income tax is assessed by people not having to pay a tax if they make $15,000 per year or less, people having to pay a 12% tax if they make over $15,000 but no more than $30,000, and people having to pay 18% tax if they make more than $30,000 per year. Find the piecewise function that represents this scenario.

Answers

Answer:

f(x) = x × 0.12 if  15,000 ≤ x ≤ 30,000

        x × 0.18 if  x ≥ 30,000

Step-by-step explanation:

I. When 12% is 12/100 = 0.12

 and 18% is 18/100 = 0.18

If you flip a coin, what is the probability that it will land on tails?

Answers

Answer:

50%

Step-by-step explanation:

Because the coin has two sides, heads and tails, there is a 50% chance that it will land on tails.

1/2

define a factorization​

Answers

Step-by-step explanation:

In mathematics, factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind. For example, 3 × 5 is a factorization of the integer 15, and is a factorization of the polynomial x² – 4. 

MARK AS BRAINLIST IF IT IS USEFUL

factorization is when you break a number down into smaller numbers that, multiplied together, give you that original number.

Help please!!!!!!!!!!

Answers

Answer:

52/15 or 3 7/15

Step-by-step explanation:

2 3/5 divide 3/4

13/5 divide 3/4

13 x 4/5 x 3

52/15

3 7/15

Answer:

3 [tex]\frac{7}{15}[/tex]

~~~~~~~~~~~

[tex]\frac{13}{5}[/tex] ÷ [tex]\frac{3}{4}[/tex]

[tex]\frac{13}{5}[/tex] * [tex]\frac{4}{3}[/tex]

[tex]\frac{52}{15}[/tex]

3 [tex]\frac{7}{15}[/tex]

Step-by-step explanation:

11. 226 students went on a field trip. Eight buses were filled and 10 students traveled in cars. How many students were in each bus? from Sarawona's Bikes. It cost $18 WILL NEED WORK DONE AND WILL GIVE BRAINIEST​

Answers

Answer:

27 students

Step-by-step explanation:

Number of students = 226Number of buses = 8

Students traveled in buses:

226 - 10 = 216

Number of students in each bus:

216/8 = 27
Total students=226Student travelled in cars=10

Students travelled in bus:-

[tex]\\ \rm\longmapsto 226-10=216[/tex]

No of buses=8

Students in each bus

[tex]\\ \rm\longmapsto \dfrac{216}{8}[/tex]

[tex]\\ \rm\longmapsto 27[/tex]

please help help help​

Answers

Answer:

a = 3

Step-by-step explanation:

We can start by cross multiplying, which is a method to help solve proportions. We get:

5 * a = 3 * (a + 2)

Now, we can distribute the 3 and solve:

5a = 3a + 6

-3a  -3a

2a = 6

/2    /2

a = 3

Answer:

[tex]a = 3[/tex]

Step-by-step explanation:

[tex] \frac{a}{a + 2} = \frac{3}{5} [/tex]

[tex]a \times 5=(a+2) \times 3[/tex]

[tex]5a=(a+2) \times 3[/tex]

[tex]5a=3a+6[/tex]

[tex]5a−3a=6[/tex]

[tex]2a=6[/tex]

[tex]a = \frac{6}{2} [/tex]

[tex]a = 3[/tex]

Hope it is helpful....

what is equivalent to the expression i^151 ?

Answers

Answer:

-i

Step-by-step explanation:

i^2=-1, so i^151=[(i^2)^75] * i=> [(-1)^75]*i=(-i)

What is the axis of symmetry for the graph of y – 4x = 7 – x2 ?
x = 2
y = 2
x = 11
y = 11

Answers

Answer:

Its A   x=2

Step-by-step

so i told siri pick a number 1-4 and she picke 1 and it was right so good luck

Answer: x = 2

Step-by-step explanation:

got it right

4x+11=x²-10
PLS HELP.

Answers

Answer:

10+4x+11=x²-10+10 (add 10 both side)

21+4x-4x=x^2-4x  (substract 4x in both side)

21-21=x^2-4x-21 (substract 21 in both side)

x^2-4x-21=0

x^2+3x-7x-21=0(we can write -4x as (3x)+(-7x)=(-4x)

x(x+3)-7(x+3)=0 (get common factor)

(x+3)(x-7)=0 (get common factor which is (x+3) by both)

x=-3 or x=7

Step-by-step explanation:

on monday 382 students went on a trip to the zoo. all 9 buses were filled and 4 students had to travel in cars. how many students were in each bus?

Answers

382 - 4 = 378
378/9 = 42
so there are 42 students on each bus

Answer:

42 students

Step-by-step explanation:

If 4 students had to travel in cars, then 382 - 4 = 378 students traveled in the buses.  Since there were 9 buses, 378 / 9 = 42.  Therefore, there were 42 students in each bus.

Please help with geometry

Answers

Answer:

x = 8

Step-by-step explanation

Complimentary angles have a sum of 90*. Thus when adding the two equations together, we must get 90*.

7x + 17 + 3x - 7 = 90                Combine like terms

10x + 10 = 90                           Subtract 10 on both sides

10x = 80                                   Divide both sides by 10

x = 8

Answer:

x = 8

Step-by-step explanation

Complimentary angles have a sum of 90*. Thus when adding the two equations together, we must get 90*.

7x + 17 + 3x - 7 = 90 Combine like terms

10x + 10 = 90 Subtract 10 on both sides

10x = 80 Divide both sides by 10

x =8

A man had Rs 2,000.He purchased 2 kg of apples at Rs 150 per kg ,3 kg sugar at Rs 80 per kg, and donated Rs 1,000 to a charity .if he divided the remaining sum between his daughter and a son equally,find the share of the daughter and the son​

Answers

Answer:

230 for Daughter and son each

Step-by-step explanation:

for apples=he spend Rs 300

sugar=Rs 240

Rs 1000

then remaining is 460 divided equally is

230 for each

love maths!

whats 1/3 to the third power?

Answers

Answer:

1/27

Step-by-step explanation:

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

[tex]\huge\boxed{\mathsf{(\dfrac{1}{3}})^3}\\\\\huge\boxed{= \mathsf{\dfrac{1}{3}\times\dfrac{1}{3}\times\dfrac{1}{3}}}\\\\\huge\boxed{\mathsf{= \dfrac{1}{3^3}}}}\\\\\huge\boxed{\mathsf{= \dfrac{1}{3\times3\times3}}}\\\\\huge\boxed{=\mathsf{\dfrac{1}{9\times3}}}\\\\\huge\boxed{\mathsf{= \dfrac{1}{27}}}\\\\\huge\boxed{\frak{Answer: \dfrac{1}{27}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment\& enjoy your day!}\\\\\\\frak{Amphitrite1040:)}[/tex]

I will give brainliest to correct answer
-2^2(-5x+10)=100 solve for x

Answers

Answer:

x = 7 would be the correct answer to your question.

I hope this helped! :D

Susan has four 20 point projects for math class. Susan’s scores on the first three projects are 18, 15,
and 16.

What score does Susan need to earn on project #4 to earn an 85% total average?

Answers

Answer:

Step-by-step explanation:

17*4=68

68-18=50

50-15=35

35-16=19

19

Multiply.
(a) 0.8 x 0.9

Answers

Answer:

0.72

Step-by-step explanation:

hope that helps!

Your answer is 0.72 I hope this helps you

midpoint (12, -9), endpoint (19, 0) the other endpoint is ​

Answers

Answer:

(5, -18)

Brainliest, please!

Step-by-step explanation:

(12, -9)(19, 0)

x distance: 7, y distance: 9

To get the other endpoint, we must apply the opposite.

x distance: -7, y distance: -9

(12, -9)

12 - 7 = 5, -9 - 9 = -18

(5, -18)

prove(sec theta-tan theta)(sec theta+tan theta)=1​

Answers

Answer:

[tex]( \sec \theta - \tan \theta)( \sec \theta + \tan \theta)[/tex]

from difference of two squares:

[tex]{ \boxed{ \tt{( {a}^{2} - {b}^{2}) = (a - b)(a + b) }}}[/tex]

[tex] = { \sec }^{2} \theta - { \tan}^{2} \theta \\ = (1 + { \tan}^{2} \theta) - { \tan}^{2} \theta \\ = 1[/tex]

hence proved

what is the opposite of 7 plus the opposite of 9

Answers

Answer:

-7.11111111111

Step-by-step explanation:

((PLEASE HELP URGENT))
Points P, Q R, and S are collinear Point Q is between P and R. R is between Q and S, and PQ=RS, If PS = 27 and PR= 21, what is the value of QR? ​

Answers

Hi my name is Vanessa

6=_-(-8) find the missing value

Answers

Answer:

-2

Step-by-step explanation:

when there are two negative signs directly next to each other, it becomes a positive. Set the equation. Let the unknown number be signified by the variable, x:

6 = x - (-8)

6 = x + 8

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 8 from both sides of the equation:

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

6 - 8 = x

x = 6 - 8

x = -2

-2 is your missing value.

~

Hey there!

6 = ____ - (-8)

• We’re going to substitute the blank value as “x” because we don’t know the variable is just yet.. it is unknown

x - (-8) = 6

x + 8 = 6

SUBTRACT 8 to BOTH SIDES

x + 8 - 8 = 6 - 8

CANCEL out: 8 - 8 because that gives you 0

KEEP: 6 - 8 because that helps solve for the x-value

x = 6 - 8

6 - 8 = x

x = -2

Answer: -2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Lindsay makes $9 per hour, h, of babysitting. She made a total of $63 babysitting yesterday.

Move values to the lines to create an equation to represent this situation.

h

9

54

63

72

Answers

Oh well, she babysitted for $63/$9 = $7

The product of two whole numbers is 999 and their sum is 64. What are the two numbers?

Answers

Answer:

the answer is:

997+2=999 so all you would have to do is multiply 997 and 2

I need help with this problem for my math class.

Answers

9514 1404 393

Answer:

  52 minutes

Step-by-step explanation:

Streaming Haunted Cave videos used the battery at the rate ...

  (76% -16%)/(3·30 minutes) = 60%/(90 minutes) = (2/3)% per minute

Playing Top Pop used the battery at the rate ...

  (63% -59%)/(24 minutes) = (4/24)% per minute = (1/6)% per minute

The remaining charge (in percent) after x minutes for Jorge's phone will be ...

  J = 55 -2/3x

The remaining charge for Samantha's phone will be ...

  S = 29 -1/6x

We can find the value of x that makes these equal:

  J = S

  55 -2/3x = 29 -1/6x

  26 = 1/2x . . . . . . . . . . . . . . . add 2/3x -29 to both sides

  52 = x . . . . . . . . . . . multiply by 2

It will be 52 minutes before the two phones have the same battery level.

what is the answer of 8-15=

Answers

Answer:

-7

Step-by-step explanation:

8 - 15 = -7
when u have a smaller number before it’s negative
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