Jennifer invested $400 at 6% interest compounded continuously. Write a model m(t) that represents the money in Jennifer's account in t years. A. B. How much money is in Jennifer's account after 5 years? Round to the nearest cent. C. Approximately when will Jennifer have $800 in her account? Round to the nearest tenth of a year.

Answers

Answer 1

Answer:

11.5 years

Step-by-step explanation:

Given data

Principal= $400

Rate= 6%

For the compound interest at time t, the expression is given as

A= P(1+r)^t

Substitute

A= 400(1+0.06)^t

A=400(1.06)^t

B. How much money is in Jennifer's account after 5 years

put t= 5

A=400(1.06)^5

A=400*1.338

A=$535.2

C. Approximately when will Jennifer have $800 in her account

A=$800

P=$400

r=6%

t= ln(A/P)/r

t= ln(800/400)/0.06

t= ln(2)/0.06

t= 0.6931/0.06

t=11.551

Hence the time is about 11.5 years


Related Questions

find the slope of the line that passes through (23,-3) and (81,91)

Answers

Answer: m = 94 / 58 = 47 / 29 = 1.62069

Step-by-step explanation:

Answer:

47/29

Step-by-step explanation:

To find the slope between two points

m = ( y2-y1)/(x2-x1)

   = ( 91- -3)/(81 - 23)

   = ( 91+3)/(81 - 23)

   = 94/58

   = 47/29

What is the answer to this?

Answers

Answer:

35.4

is the answer to this question

Please help with this question

Answers

Answer:

56t

Step-by-step explanation:

An equation of the line passing through the points (4,3) and (-1,1)

Answers

A = ( 4 , 3 ) ..**&**.. B = ( - 1 , 1 )

_____________________________

Slope = [ y(B) - y(A) ] ÷ [ x(B) - x(A) ]

Slope = [ 1 - 3 ] ÷ [ - 1 - 4 ]

Slope = [ - 2 ] ÷ [ - 5 ]

Slope = 2/5

______________________________

y - y(0) = Slope × ( x - x(0) )

y - y(A) = Slope × ( x - x(A) )

y - 3 = 2/5 × ( x - 4 )

y - 3 = 2/5 x - 8/5

y = 2/5 x - 8/5 + 3

y = 2/5 x - 8/5 + 15/5

y = 2/5 x + 7/5

Estimate a 15% tip on a dinner bill of $61.75 by first rounding the bill amount to the nearest ten dollars. What’s the estimated tip?

Answers

Answer:

Tip = $9

Step-by-step explanation:

Bill amount to nearest ten dollars = $60

[tex]tip = 15\% of 60 = \frac{15}{100} \times 60 = 9[/tex]

********Mathematics********​

Answers

Answer:

m=-1and c=3

m=-2c=-3

m=5c=-2

m=3andc=-2

A cylinder has a surface area of 502.4 square inches and a height of 11 inches. What is the volume? PLEASE HELP!!

Answers

Answer:

V≈ 863.27 in³

Step-by-step explanation:

Find the volume of the rectangular prism. 4.5 cm 2.5 cm 3 cm​

Answers

The volume of the rectangular prism is 33.75 cm^3

Answer:

33.75 [tex]cm^{2}[/tex]

Step-by-step explanation:

The formula for a rectangular prism is [tex]l*w*h[/tex] where l is the length, w is width, and h is height. So, to solve plug in the given sides to get, 2.5*3*4.5. This equals 33.75 [tex]cm^{2}[/tex].

Work out the height of this triangle with base,
b = 8mm
and area,
A= 218.8mm2.

Answers

Answer:

54.7

Step-by-step explanation:

You have to devide 218.8 with the base
h= 218.8 devided by 8mm gives us 27.35 mm and if you multiply 8 by 27.35 it gives you the same answer for the area

Can someone help with this

Answers

Answer:

Step-by-step explanation:

The standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex] where h and k are the coordinates of the center of the circle, and r is the radius squared. Our center is located at (-6, -4)  and from the center to the outer edge is 2 units, so the radius is 2-squaraed, which is 4. That makes the equation for this circle

[tex](x-(-6))^2+(y-(-4))^2=4[/tex] which simplifies to

[tex](x+6)^2+(y+4)^2=4[/tex]

can someone help please

Answers

Answer:

- 3.21

Step-by-step explanation:

what is the perimeter?

Answers

P = 8 + 10 + 8 + 10

P = 36

..................................

Order the number from least to greatest 1/3,0.3,2/3 and 2/5

Answers

0.3, 1/3, 2/5, 2/3
Hope this helps!

note: Do me a favor and mark me as brainliest? Would really help motivate me to help out more people. Thank you.

There are 2 bags of cat food to be shared equally between 9 kittens. What fraction of a bag will each kitten eat?​

Answers

Answer: 2×9=18

Step-by-step explanation:

Answer:

the fractio will be

[tex] \frac{2}{9} for \: each[/tex]

Compute the mean score of these students The following data set are the quiz scores for 14 students. . 76,66,55,80,80,72,97,70,80,72,88,50,63,76

Answers

Answer:

73.214285714285714285714285714286 (or 73 rounded down)

Step-by-step explanation:

76, 66, 55, 80, 80, 72, 97, 70, 80, 72, 88, 50, 63, 76

76 + 66 + 55 + 80 + 80 + 72 + 97 + 70 + 80 + 72 + 88 + 50 + 63 + 76 = 1025

1025/14 = 73.214285714285714285714285714286

73.214285714285714285714285714286 ≅ 73

Answer:

73.2

Step-by-step explanation:

76+66+55+80+80+72+97+70+80+72+88+50+63+76 =1025

Mean = 1025/14

= 73.2

i was arguing with this guy in dahood yesterday and he said "i f'd ur dog to death how that make u feel".​

Answers

Answer:

that something very disgusting to even say wdf

Step-by-step explanation:

John deposits Rs 25 000 in a bank which pays simple interest at the rate of 9% per year. after how many years will he earn an interest of Rs 6750?

Answers

I = 6750

P= 25000

r = 9% = 0.09

t=?

I= prt

6750 = 25000×0.09× t

t = 6750/25000"0.09 = 3

Answer - 3 years.

Complete the equation of this circle:
А
(x - [ ? ])2+(y - [ ])2= [ ]

Answers

equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2,

so in first box - h

in second box - k

after equal to box = r²

Answer:

The answers that would be put into the question box's are: 3, 2, and 16:

(x - 3)^2 + (y - 2)^2 = 16 :)

Hope this helps

Lucia has 48 markers and 64 stickers that she wants to give as favors for a party. She wants to put an equal number of markers and an equal number of stickers into each favor bag. She uses all the markers and stickers. What is the greatest number of bags Lucia can make

Answers

Answer:

The greatest number of bags Lucia can make = 16

Each of the 16 bags will contain 4 stickers and 3 markers

Step-by-step explanation:

Markers = 48

Stickers = 64

What is the greatest number of bags Lucia can make?

Find the highest common factor of 48 and 64

48 = 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48

64 = 1, 2, 4, 8, 16, 32 and 64

The highest common factor of 48 and 64 is 16

The greatest number of bags Lucia can make = 16

Stickers = 64/16

= 4 stickers per bag

Markers = 48/16

= 3 markers per bag

Each of the 16 bags will contain 4 stickers and 3 markers

Please help, I’ll give brainliest as soon as I can! I need an answer quick

Answers

Step-by-step explanation: 0-9-8+xyz

Two complex numbers are represented by c + d[tex]i[/tex] and e-f[tex]i[/tex] , where c, d, e, and f are positive real numbers. In what two quadrants may the product of these complex numbers lie? Explain your answer in complete sentences.

Answers

Answers: First Quadrant and Fourth Quadrant

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

Explanation:

Let

w = c + diz = e - fi

be the two complex numbers.

Multiply them out to see what we get

[tex]w*z = (c+di)(e-fi)\\\\w*z = c(e-fi)+di(e-fi)\\\\w*z = ce-cf*i+de*i-df*i^2\\\\w*z = ce-cf*i+de*i-df*(-1)\\\\w*z = ce-cf*i+de*i+df\\\\w*z = (ce+df)+(-cf+de)*i\\\\[/tex]

The result we get is in the form a+bi where

a = ce+df = real partb = -cf+de = imaginary part

Recall that any complex number of the form a+bi can be plotted on the xy plane with 'a' being treated as the x coordinate and b as the y coordinate. In short, the location of a+bi is at the point (a,b)

With c,d,e,f being positive, this means ce and df are positive, and a = ce+df is also positive.

This places the result of wz in either the first or fourth quadrants (the northeast or southeast quadrants respectively), due to the positive x coordinate.

We don't have enough info to determine whether b = -cf+de is positive or not. So that's why we can't nail down the precise quadrant of wz

If b > 0, then wz is in quadrant 1

If b < 0, then wz is in quadrant 4

The bear moves closer, so Rick decides to go to the other side of the lake. Since there is a forest, he can only spotpoint A when angle C measures 50'. What trigonometric function would Rick

use to find AB if he knows the measure of BC ?

Answers

Answer:

Tangent

Step-by-step explanation:

Given

[tex]\angle C = 50[/tex]

See attachment for complete question

Required

Function to calculate BC

If AB is known, BC is calculated as:

[tex]\tan(C) = \frac{AB}{BC}[/tex]

Substitute d for AB and 50 for C

[tex]\tan(50) = \frac{d}{BC}[/tex]

Make BC the subject

[tex]BC = d * \tan(50)[/tex]

Hence, BC can be found using tangent

hii i have to retake this test and i have no idea if im getting this right, can someone help me out please????

here is the question:

The volume of this cylinder is approximately 12,468.94 cubic feet.

The radius is ___ feet.

Use ​ ≈ 3.14.

image is also pasted

Answers

Answer:

radius = 19 ft

Step-by-step explanation:

volume of a cylinder: r²πh

12468.94 = r²π × 11

=> r² = 12468.94 ÷ 11π

=> r² = 361

=> r = 19

Answer:

r=19

Step-by-step explanation:

[tex]12468.94 = (3.14) {r}^{2} (11) \\ \frac{12468.94}{34.54} = \frac{34.54 {r}^{2} }{34.54} \\ \sqrt{361} = \sqrt{ {r}^{2} } \\ 19 = r[/tex]

Solve for x algebraically -3x > -18

Answers

Answer:

x < 6

Step-by-step explanation:

-3x > -18

Divide both sides by -3. (Remember to flip the > to <)

x < 6

A parallelogram has a base of 9 km and a height of 5 km.

Answers

Answer:

Area= b*h

9*5=45km^2

Step-by-step explanation:

Help plz i will give brainliest!!!!!

Answers

Answer:

{3,4,5,7,9,10,13,17}

Step-by-step explanation:

The U means union and that means join sets A and B together

A U B

{3,4,5,7,9,10,13,17}

Jean walks forward 80 feet to his mailbox. He then walks the 80 feet
back. Does Jean end up back where he started?

Answers

Answer:

yes

Step-by-step explanation:

Helo again answer for me

Answers

Answer:

The left side

182

does not equal to the right side

450

, which means that the given statement is false.

False

Step-by-step explanation:

mark as brainliest!!

Answer= 268

Reason:-

Let The Missing Number be x

x+308-126=450

x+182= 450

x=450-182

x=268

Hope This Helps You ❤️

what is the area of the base of the cone below?

a) 2.4 ft^2
b) 4 ft^2
c) 22.5 ft^2
d) 26 ft^2

Answers

Answer:

[tex] \frac{1}{3} \times 12 \times area = 90 \\ area = 90 \div 4 = 22.5[/tex]

what difference is there please tell me in a mathematical way​

Answers

the difference is that non-functional requirements describe how the system works, while functional requirements describe what the system should do
The left in is a function because there is a matching number/value and the right their is no similar function/number/value
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