You invest $500 in an account that pays 6% interest compounded continuously. How
much will be in the account after 6 years?

Answers

Answer 1
Answer:  716.66 dollars

=====================================================

Explanation:

We'll apply this formula

A = P*e^(r*t)

where,

A = account balance after t yearsP = initial deposit, aka principale = special constant roughly equal to 2.718 but it goes on forever without a pattern; it's better to let the calculator handle this value rather than type the decimal digits in.r = annual interest rate in decimal formt = number of years

In this case, we have

P = 500r = 0.06t = 6

Again we won't type "2.718..." for 'e', and we'll just type it into the calculator as shown below. That way the calculator can handle the digits instead.

So...

A = P*e^(r*t)

A = 500*e^(0.06*6)

A = 716.66470728026

A = 716.66 dollars is the final answer


Related Questions

HELLP I need this question

Answers

Answer:5^15

Step-by-step explanation: I am Smart :>

Answer:

[tex]5^{15}[/tex]

Step-by-step explanation:

[tex]\frac{(5^3)^9}{5^{12}} \\\\\frac{5^{27}}{5^{12}} \\\\5^{15}[/tex]

3 x 9 = 27

27 - 12 = 15

May someone pls help with this?

Answers

Answer:

p = 308

Step-by-step explanation:

Write an equation in standard form for the line that passes through (4, 4) and has a x-intercept of 3?

PLEASE HELP AS SOON AS POSSIBLE 4/19/2021

Answers

Answer:

y=4(x-3)

Step-by-step explanation:

if x=3, subtract 3 from each side to get x-3=0

point (4, 4). That is, when x=4, y=4.

Plug those in and solve for a.  

y=a(x-3)

4=a(4-3)

4=a(1)

4=a

 Thus,  

y=4(x-3)

One way to divide decimal numbers is to use an equivalent expression.

Complete the statements below to explain one way to find 8.4 ÷ 2.1.

Answers

Answer:

104

Step-by-step explanation:

To determine how much a decimal was multiplied, you need to find how many places the decimal moved.

In this case we can see the decimal moved once. How many times the decimal moved can be represented by the zeros in the number. So 10 = 1

100 = 2     1,000 = 3 and it keeps going.

So since the decimal moved 1 time, the answer to question one is 10

Now question 2.

Both 8.4 ÷ 2.1 and 84 ÷ 21 will give the exact same answer. It is just easier to solve. So solve which one is easier for you. I did 84 ÷ 21.

84 ÷ 21 = 4

We can verify our answer by multiplying the the divisor by the quotient

21 * 4 = 84

So 4 is the answer to question 2

A study found that there is no direct relationship between the time that 8th grade students spend brushing their teeth and their final math grade for the year. What is the correlation? positive , negative , no correlation

Answers

Answer:

no correlation

Step-by-step explanation:

because the teeth brushing had nothing to do with their grade, it would be no correlation.

If y varies directly as z and inversely as x and y = –18 and z = 3 when x = 6, find y when x = 5 and z = –5.
36

18

9

64

Answers

Answer:

y = 36

Step-by-step explanation:

Given y varies directly as z and inversely as x then the equation relating them is

y = [tex]\frac{kz}{x}[/tex] ← k is the constant of variation

To find k use the condition y = - 18, z = 3 when x = 6 , then

- 18 = [tex]\frac{3k}{6}[/tex] ( multiply both sides by 6 )

- 108 = 3k ( divide both sides by 3 )

- 36 = k

y = [tex]\frac{-36z}{x}[/tex] ← equation of variation

When x = 5 and z = - 5, then

y = [tex]\frac{-36(-5)}{5}[/tex] = [tex]\frac{180}{5}[/tex] = 36


What is the maximum percentage of net spendable income that should be set aside for housing? (It’s not 38)
A.25%
B.36%
C.38%
D.28%

Answers

It is 38% cause The maximum percentage of a families net spendable income should have at least 38% set aside for housing expenses.

Answer:

Step-by-step explanation:

It is 38% cause The maximum percentage of a families net spendable income should have at least 38% set aside for housing expenses.

cookies cost $2.50, where y represents the total cost of x, number of cookies

a. additive

b. Multiplicative​

Answers

Answer:

Step-by-step explanation:

If the cookies cost $2.50 each, then the total cost of x cookies is

($2.50/cookie)(x), involving multiplication, not addition.

Answer:

Solution :-

According to the question

Equation = y/x

Putting y as $2.50

= (2.50)x

And it's a multiplication

[tex] \\ [/tex]

please help! odfpfpsdfsdlfsdfnlkfn pleaseeeeee

Answers

Answer:

x = 13

Step-by-step explanation:

Since the two given angles are vertical angles, we know (5x) = 65.

Divide both sides by 5 : 5x = 65    and we get x = 13

                                             5

please help me didn’t show up

Answers

Answer:

Step-by-step explanation:

Answer:

is this the full question?

Step-by-step explanation:

Micayla wants the print shop to reduce the size of her painting but keep the ratio of length to width so that it will fit her frame. Study the scale drawings to determine the proportional relationship between her painting and the frame she wants to use.

Answers

Answer:

The width of the frame must be 12 inches (15in by 12in)

Step-by-step explanation:

Given

See attachment for painting and frame

Required

Determine the dimension of the frame

To do this, we make use of the following scale ratio.

[tex]Scale = Length : Width[/tex]

For the painting,

[tex]Scale = 20: 16[/tex]

For the frame,

[tex]Scale = 15: w[/tex]

Since she wants to maintain the same ratio; both scale must be the same.

i.e.

[tex]15 : w = 20 : 16[/tex]

Express as fraction

[tex]\frac{w}{15} = \frac{16}{20}[/tex]

[tex]\frac{w}{15} = 0.8[/tex]

Make w the subject

[tex]w = 15 * 0.8[/tex]

[tex]w = 12[/tex]

The width of the frame must be 12 inches i.e. 15in by 12in frame

A cylinder has a base diameter of 10cm and a height of 7cm. What is its volume in cubic cm, to the nearest tenths place?

Answers

Answer:

volume = 549.5 cm³

Step-by-step explanation:

base area m= πr² = (3.14)(5²) = 78.5 cm²

volume = base area x height = 78.5 x 7 = 549.5 cm³

Answer:

549.5 cm3

Step-by-step explanation:

Please Help! ~ Math ~ You will get +10 points! ~ Multiple Chouce ~ 1 Problem!

In a basketball game, Sarah scored 4 points more than twice the number of points Jamie scored. Jamie scored 3 ponts. How many points did Sarah score?

A. 1 Point
B. 7 Points
C. 10 Points
D. 12 Points-

Answers

Sarah: 3x2 is 6+4 is 10 so C :)

Answer:

10

Step-by-step explanation:

If Jamie scored 3, and sarah scored twice that much, multiple 3 by two

3x2=6

Sarah also scored 4 more points then twice of his points.

6+4=10

Your answer is ten points

Can someone please help i spendt 30 mins on this one question ?

Answers

Answer:

A

Step-by-step explanation:

To keep things short, use the distance formula to find the distance from each point from (0,0)

please help


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Answers

A. There are 14 hard candies in total and 45 foods all together therefore the answer is 14/45

For the right triangle shown, whih equation can be used to find the vaule of x

Answers

Answer:

The answer is b

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

What is 1/3 of 8 1/4

Answers

Answer:

2.75

Step-by-step explanation:

use a calculator

Hope this helps! :)

FIND THE AREA OF THE SHADED SECTION IN THE CIRCLE THE SHADED SECTION IS 35 DEGRESS AND THE RADIUS IS 5 INCHES. USE THE FORMULA: M/360 TIMES PIE R SQUARED

Answers

Answer:

Area of sector of circle = 7.6302 inches (Approx.)

Step-by-step explanation:

Given:

Angle of section = 35°

Radius of circle = 5 inch

Find:

Area of shaded section

Computation:

Area of shaded section  = Area of sector of circle

Area of sector of circle = [θ/360][πr²]

Area of sector of circle = [35/360][(22/7)(5)²]

Area of sector of circle = [0.0972][(3.14)(25)]

Area of sector of circle = [0.0972][78.5]

Area of sector of circle = 7.6302 inches (Approx.)

Triangle DEF is translated five units up. If point D has coordinates (-3, -5) what are the coordinates of D'?

A.
(-3, 0)

B.
(2, -5)

C.
(-3, -10)

D.
(2, -10)

Answers

Answer:

A

Step-by-step explanation:

A translation of 5 units up means adding 5 to the y- coordinate

Then

D (- 3, - 5 ) → D' (- 3, - 5 + 5 ) → D' (- 3, 0 ) → A

Darion buys 2 pounds of almonds for $21.98 and 3 pounds of dried apricots for $26.25. Which is less expensitve per pound?

Answers

Answer:

Dried Apricots

Step-by-step explanation:

Divide dollars per pound to find amount per pound and then compare.

PLZZZ HELP ITS DUE AT 1:45

Answers

Answer:

a= 10 b= -13 c= -3

Step-by-step explanation:

First, you multiply 5x+1 and 2x-3

You then end up with 10x^2-13x-3 which is in ax^2+bx+c form

So, a would be 10, b would be -13, and c would be -3.

Haley substituted the values of a, b, and c into the quadratic formula below.

x = StartFraction negative (negative 10) plus or minus StartRoot (negative 10) squared minus 4 (7)(negative 2) EndRoot Over 2(7) EndFraction
What was Haley’s function in standard form?
f(x)=___x2+____x+____​

Answers

Answer:

f(x) =  

7

x2 +  

-10

x +  

-2

Step-by-step explanation:

a line segment has endpoints P(-1,5)and Q(5,2) find the coordinate of that trisect the segment​

Answers

Answer:

(1, 6).  The second is (-1 + 2 + 2, 1 + 1 + 1), or (3, 3)

Step-by-step explanation:

Moving from P to Q, we see that x increases by 6  and y increases by 3.

"Trisect" means "divide into three equal subintervals."

We find (1/3) of 6 (which comes out to 2) and (1/3) of 3 (which comes out to 1).  

Thus, the first junction (between 1st and 2nd trisection) is (-1 + 2, 5 + 1), or (1, 6).  The second is (-1 + 2 + 2, 1 + 1 + 1), or (3, 3)

Guided Practice


Write an equation of the direct variation that includes the point (–8, 10).


A.
y= −4/5x


B.
y= 5/4x


C.
y= −5/4x

Answers

Answer:

C.

y= −5/4x

Step-by-step explanation:

Write an equation of the direct variation that includes the given point. (-8, 10)

1

first divide y by x to find the constant

2

Then write the equation using that constant. The constant can be written as a fraction or a decimal.

RESULT


A butcher shop is selling steaks 2 for $7.00. The butcher sells 29 steaks today. How much money did the butcher make selling steaks today?

Answers

Answer:

The butcher made $101.50

Step-by-step explanation:

2 for 7.00

1 steak would be 7.00 divided by 2

7 divided by 2 is 3.5

1 steak is 3.50 dollars

29 steaks in total

29 multiplied by 3.50 is 101.5

Helppp don’t comment random stuff :( thanks

Answers

Answer:

The slope is y=0.59x so 0.59

The y intercept is 0

Answer:

careful of taking pictures of problems. I got warnings and questions deleted when I had the picture of my question since it was violating the code of brainly since it was a different cite. -_-

Step-by-step explanation:

Can Someone Help Me With This I Beg You.​

Answers

Pyramid hope this helps

Martin recorded the low temperatures at his house for one week. The temperatures are shown below.
-7, -3,4,1, -2,-8,7
Approximately what was the average low temperature for the week?

Answers

-14 add all divide by the amount of numbers to find average

Answer:

-8

Step-by-step explanation:

-7+-3+4+1+-2+-8+7=-8divided by7=-1

2 / 7 - x = 5/4 what is the value of 'x'​

Answers

Answer:

27/28

Step-by-step explanation:

2/7 - x =5/4

-2/7      -2/7

    x=27/28


What is the measure of each angle of an equilateral triangle?
A. O 90°
B. O 45°
C. 60°
D. 30°

Answers

Answer:

C) 60 degrees

Step-by-step explanation:

An equilateral triangle has all equal angles. We know that all the angles of a triangle add up to 180 degrees. Therefore 45+45+45=180 giving you an equilateral triangle angle measure.

The answer is 60 degrees I think!
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