34. The amount of money in an account with continuously compounded interest is given by the formula 1
4 Por, where is the principal, / is the annual interest rate, and / is the time in years, Calculate to the
nearest hundredth of a year how long it takes for an amount of money to double if interest is compounded
continuously at 6,2%Round to the nearest tenth,
11.2 y
A
1 0.0 %
O
4

Answers

Answer 1

Answer:

Step-by-step explanation:

I have no idea what formula that is you're using but the one I teach in both algebra 2 and in precalculus for continuous compounding is

[tex]A(t)=Pe^{rt}[/tex]

where A(t) is the amount after the compounding, P is the initial investment, ee is Euler's number, r is the interest rate in decimal form, and t is the time in years. If our money doubles, we just have to come up with a number which will be P and then double it to get A(t). It doesn't matter what number we pick to double, the answer will come out the same regardless. I started with 2 and then doubled it to 4 and filled in the rest of the info given with time as my unknown:

[tex]4=2e^{(.062)(t)}[/tex]

Begin by dividing both sides by 2 to get

[tex]2=e^{.062t}[/tex]

The only way we can get that t out of its current position is to take the natural log of both sides. Natural logs have a base of e, so

[tex]ln_e(e)=1[/tex] This is because they are inverses of one another. Taking the natural log of both sides:

[tex]ln2=.062t[/tex] Now divide by .062 to get

t = 11.2 years


Related Questions

If a right triangle has an acute angle of 43 find its complement

Answers

Answer:

47°

Step-by-step explanation:

The given angle and its complement sum to 90°, thus

complement = 90° - 43° = 47°

f(x)=-(x-3)²+1 determine the vertex

Answers

(3,1) would be the answer

Answer:

vertex = (3, 1 )

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

f(x) = (x - 3)² + 1 ← is in vertex form

with vertex (h, k ) = (3, 1 )

.Solve for x.



3x = -39

Answers

Answer:

x= (-13)

Step-by-step explanation:

You need to get x alone so you have to divide by 3 and -39/3 equals -13

Answer:

x = -13

Step-by-step explanation:

Divide both numbers by 3

3÷3 cancels each other out, leaving x

-39÷3= -13

CAN SOME PLZ HELP ME ON THIS ONE!!!!

Answers

Answer

d

Step-by-step explanation

The rate is constant

can someone help me with this one.
i will give you a brainlist if you give the answers. thanks!​

Answers

Answer:

A= 115

B= 65

C= 90

D= 65

E= 15

F= 90

Step-by-step explanation:

If you need explanations, tell me.

A concert is $250 per ticket and the cost of parking is free. This is expressed
as p(x) = 250x. If the profit is $6,000 how many tickets were sold?

Answers

Answer:

24

Step-by-step explanation:

p(x) = 250x

6000 = 250x

x = 24

Answer:

24 tickets

Step-by-step explanation:

p(x) = 250x

Substitute 6,000 for p(x)

6,000 = 250x

Divide each side of the equation by 250

24 = x

Hope this helps!

The perimeter of a given rectangle is 44 inches. The length of the rectangle is two inches more than three times the width. What are the dimensions of the rectangle? Pls help

Answers

84 I’m pretty sure not one hundred precent tho

Answer:

W=5  L=17

Step-by-step explanation:

i really need help with this!!

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]y = - \frac{1}{6} x - 1 \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Let me know if you need explanation.

I need help with this, if anyone can I appreciate it. ✨

Answers

Answer:

85, -91

Step-by-step explanation:

85, 91 is the answer

Please help thank you so much

Answers

Answer:

no

when you enter the point into the equation and solve, it does not work

Answer:

NO

Step-by-step explanation:

please please help me quickly ​

Answers

Answer:

1/4

Step-by-step explanation:

1. 133 1/3% of 36=?
2. 260% of 360=?

Answers

Answer:

1. 133 1/3% of 36=48

2. 260% of 360=936

Step-by-step explanation:

1. 133 1/3% of 36

=(133 1/3)%  of 36

=(133/1+1/3)% of 36

=(399+1/3)% of 36

=(400/3)% of 36

=(400/3 *100) *36

=(400/300*36)

=4/3*36

=4*12

=48  Ans

---------------------------------------------------------------------------------------

2. 260% of 360

=260% of 360

=260/100*360

=26/10*360

=26/1*36

=936 Ans

what is 1/2 divded by 3/4​

Answers

Answer:

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {1}{2}} \div {\dfrac {3}{4}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {1}{{\cancel{2}}}}\times {\dfrac{{\cancel {4}}}{3}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {2}{3}}[/tex]

Please help I really really need it

Answers

Answer:

Just give me a few min ill be right back to help :)

Step-by-step explanation:

need help asap please!!!!!!1

Answers

Answer:4/3 I think

Step-by-step explanation:

3. The Lopez Family meets with a financial planner who advises them to save 15%
of their income per month for college savings for their children. They earn
$8,540 per month. How much will the Lopez family save each month for future
college expenses?

Answers

Answer:

1281

Step-by-step explanation:

15% of 8540=1281

3. Six neighborhood children - Leisha, Benito, Delia, Charlotte, Weldon, and Zina- were measured
yesterday. Weldon is taller than Delia but shorter than Zina. Leisha is taller than Benito but shorter than
Delia and Weldon. Benito isn't the shortest. Can you list the kids in order of height from tallest to shortest?
Please Help
WORTH 100 points!!!

Answers

zina, weldon, delia, leisha, bento, charlotte

Please do 11 vote you brainiest

Answers

Answer:

ITS B

Step-by-step explanation:

A rectangular prism has the following dimensions. The base has sides that are 3 cm. and 5 cm. and the height is 9 cm. How many squares with 1 cm edges can cover the entire surface area of the prism completely with no overlaps?

Answers

Answer:

174 squares

Step-by-step explanation:

I would start by finding the surface area of the rectangular prism. You can use 2(wl+hl+hw).

2(wl+hl+hw)

2(3*5+9*5+9*3)

2(15+45+27)

2(87)

174 cm^2

The area of squares 1 cm edges would be 1 because 1*1=1, so you could find how many of them would fit on the surface area by dividing 174 by 1, which equals 174.

2(h - 8) - h = h - 16

Answers

[tex]2(h-8)-h=h-16[/tex]

[tex]2h-16-h=h-16[/tex]

[tex]h=h[/tex]

h has infinitely many solutions.

PLS PLS PLS HELPPPP NO EXPLANATION NEEDED

Answers

Answer:

i believe its C

Step-by-step explanation:

Answer:

it is a little hard to see but yeah from what I can tell it looks like it would be C

Step-by-step explanation:

Hope this helps

Tell me if it is wrong

Determine the interval in which this function is DECREASING

Answers

Answer:

4

Step-by-step explanation:

4

What is the measure of AC?

Answers

The measure of AC is 10 I’m pretty sure
10
Negative:-6












I think this the right answer

Santino bought a 3 3/7 Lb bag of chocolate chips. He used 2/3 of the bag while baking. How many pounds did he use while baking answer asap

Answers

Answer:

2 2/7

Step-by-step explanation:

3 3/7 ÷ 3 = 1 1/7, 1 1/7 x 2 = 2 2/7

Which statement best explains the relationship between
lines AB and CD?
They are parallel because their slopes are equal.
They are parallel because their slopes are negative
reciprocals.
They are not parallel because their slopes are not
equal.
They are not parallel because their slopes are
negative reciprocals.

Answers

Answer:

A

Step-by-step explanation:

Thats what im pretty sure it is, you didnt provide a picture but i know that parallel slopes are equal to each other

Answer:

A Aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

A gumball machine contains 23 green gumballs, 52 red gumballs, 34 blue gumballs, 61 yellow gumballs, and 30 pink gumballs.

What percentage of the gumballs are red?

Answers

Answer:

26%

Step-by-step explanation:

What is the equation of a line perpendicular to y=-2/5X-1 that passes through (2,-8)

Answers

Answer:

[tex]y=\frac{5}{2}x-13[/tex]

Step-by-step explanation:

Given the equation

[tex]y=-\frac{2}{5}x-1[/tex]

comparing the equation with the slope-intercept form[tex]y=mx+b[/tex]

Here,

m is the slope b is the intercept

so the slope of the line is m = -2/5

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line,

so  the slope of the perpendicular line will be: 5/2

Therefore, the point-slope form of the equation of the perpendicular line that goes through (2,-8) is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-\left(-8\right)=\frac{5}{2}\left(x-2\right)[/tex]

[tex]y+8=\frac{5}{2}\left(x-2\right)[/tex]

subtract 8 from both sides

[tex]y+8-8=\frac{5}{2}\left(x-2\right)-8[/tex]

[tex]y=\frac{5}{2}x-13[/tex]

1. 3(x + 4) = 3(x - 5)
(could you please show work)

Answers

Use distributive property on both sides

3(x+4)=3(x-5)

3(x)+3(4)=3(x)-3(5)

3x+12=3x-15

Subtract 3x from both sides

12=15.

So because this is a false statement the equation has no solution. So your answer is no solution. Hope this helps!!!

EASY!!!! Answer this question correctly

Answers

Answer:

1st answer choice- You do not have enough jars because 20 jars will only hold 35 cups of applesauce.

Step-by-step explanation:

So 1.75 cups of applesauce fits in a jar. You have 20 jars so you multiply the cups of applesauce that can fit in the jar by how many jars you have. It will look like this: 1.75x20=? Now you multiply them and you get 35 which is how many cups of applesauce 20 jars will hold. You will have 5 cups of applesauce left over that cannot be transformed into a jar.

If you can please make my answer the brainliest that would be much appreciated. Thanks!

Answer:

You do not have enough jars because 20 jars will only hold 35 cups

Step-by-step explanation:

solve:3x=40+x
pls solve this fast

Answers

Answer:

x = 20

Step-by-step explanation:

3x = 40 + x

-x           -x

2x = 40

Divide both sides by 2

x = 40/2

x = 20

I hope this was helpful! <3

Could I get brainliest?

Answer:

3x=40+x=20

Step-by-step explanation:

Hope this helps!! :)

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