For her birthday, Patty's parents gave her $5,000.00 which they put into a savings account that earns 10% interest compounded continuously. When Patty started college, she withdrew the entire balance of $5,789.00 and used it to pay for tuition. How long was the money in the account?

Answers

Answer 1

Answer:

1.465 years

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 10/100

r = 0.1 per year,

Then, to solve for time t, when compound interest is compounded continuously, the formula is given as:

t = ln(A/P) / r

Where

A = Amount after time t = $5,789.00

P = Principal = Initial amount = $5,00

r = 0.1

Hence,

t = ln(5,789.00/5,000.00) / 0.1

t = 1.465 years

Therefore, the money was in the account for 1.465 years


Related Questions

Could use sum help please

Answers

Answer:

I need help with the same thing-

Step-by-step explanation:

The measure of ∠BCF is 60°, and the measure of ∠FCG is 35°. Which equation can you use to find the measure of ∠BCG?

Answers

Answer:

x =  ∠BCF+ ∠FCG

Step-by-step explanation:

According to the given measure, we can say that, line Fc bisects  ∠BCF and  ∠FCG and the sum of  ∠BCF and  ∠FCG is  ∠BCG. Mathematically;

∠BCF+ ∠FCG =  ∠BCG

Given

∠BCG = 60degrees

∠FCG = 35degrees

Let x be equal to  ∠BCG

Hence the required equation will be;

∠BCF+ ∠FCG =x

Swap sides

x =  ∠BCF+ ∠FCG

hii! please help asap. i’ll give brainliest

Answers

Answer:

D is the one

:)

What is the length of each segment?
Segment AB: from A(-2,1) to B(-2, 5)

Answers

Answer:

[tex]length = \sqrt{ {( - 2 - ( - 2))}^{2} + {(5 - 1)}^{2} } \\ = \sqrt{16} \\ = 4 \: units[/tex]

Answer:

4 units

Step-by-step explanation:

Write an exponential function in the form y=ab^xy=ab
x
that goes through points (0, 12)(0,12) and (3, 6144)(3,6144).

Answers

Answer:

y1 = abx1 and y2 = abx2

Step-by-step explanation:

Complete the statement with equal to, greater than, or less than. 1/3 x 2 1/6 will be 2 1/6

Answers

Answer:         c

Step-by-step explanation:

bc

sooo who wants brainlest ??

Answers

Answer: 60%

If I’m understanding this problem correctly (I believe it wants me to isolate the group), we’re taking 27% (0.27) of the total men who answered the survey which equated to 45% (0.45)

First we’ll change 0.27 and 0.45 to 27 and 45. So, if 45 is our maximum, then if we divide 27 by 45, we’ll get the value 0.6–> if we multiply that by 100, we’ll get 60%.

Thus, 60% of men within that gender group preferred suspense movies.

if i got 576 pets and then i leave 111 pets and then add another 890 how much do i have in total​

Answers

Answer:

1355 pets

Step-by-step explanation:

576 pets - 111 pets = 465 pets

465 pets + 890 pets = 1355 pets

Answer:

1355 pets

Step-by-step explanation:

Given the equation: I + I → I2 + 35 kcal This equation shows that the formation of an iodine molecule is an A) endothermic process in which energy is absorbed B) exothermic process in which energy is released C) exothermic process in which energy is absorbed D) endothermic process in which energy is released

Answers

Answer:

A) endothermic process in which energy is absorbed

Step-by-step explanation:

A thermochemical reaction equation is a chemical reaction equation in which the enthalpy of reaction is written after the symbols of reactants and products.

The importance of thermochemical reaction equations is that they show us whether energy was absorbed or evolved in a reaction as well as the magnitude of energy absorbed or evolved.

When the enthalpy of reaction is positive, the reaction is endothermic and energy is absorbed. When the enthalpy of reaction is negative, the reaction is exothermic and energy is evolved or released.

The enthalpy of the reaction  I + I → I2 + 35 kcal is positive hence the reaction is an endothermic process in which energy is absorbed.

The equation shows that the formation of an iodine molecule is an A. endothermic process in which energy is absorbed.

What is an endothermic process?

It should be noted that an endothermic process is where heat is transferred from the surroundings to the systems. In this case, the system has gained heat from the surroundings.

The change in enthalpy, delta H is positive for an endothermic process. When the enthalpy of reaction is positive, the reaction is endothermic and energy is absorbed. The enthalpy of the reaction is positive as illustrated in this case.

Learn more about endothermic on:

https://brainly.com/question/6506846

What is the surface area of the right rectangular prism below?


25030
A.
130 in.2

B.
154 in.2

C.
308 in.2

D.
312 in.2

Answers

Answer:

Hello! answer: 308 HOPE THAT HELPS!

Given that tangent squared theta = three-eighths, what is the value of secant theta?

A) Plus-or-minus StartRoot eight-thirds EndFraction
B) Plus-or-minus StartRoot eleven-eighths EndFraction
C) Eleven-eighths
D) Eight-thirds

Answers

Answer:

B) Plus-or-minus StartRoot eleven-eighths EndFraction

[tex] { \tan }^{2} \theta = \frac{3}{8} \\ but : { \tan }^{2} \theta = { \sec }^{2} \theta - 1 \\ \therefore { \sec}^{2} \theta - 1 = \frac{3}{8} \\ { \sec }^{2} \theta = \frac{11}{8} \\ \sec( \theta) = \sqrt{ \frac{11}{8} } [/tex]

Answer:

B) Plus-or-minus StartRoot eleven-eighths EndFraction

Step-by-step explanation:

find the measure of the arc or angle indicated. assume that lines which appear tangent are tangent. just enter the number.

Answers

Answer:

C. 60°

Step-by-step explanation:

The vertical angle formed inside a circle when two chords intersect each other is equal to half the sum of the measures of the intercepted arcs, based on the intersecting chords angle measure theorem.

Thus:

90° = ½(120° + arc TA)

Multiply both sides by 2

2*90 = 120 + arc TA

180 = 120 + arc TA

Subtract 120 from each side

180 - 120 = arc TA

60° = arc TA

Arc TA = 60°

A baker can decorate one cake in
hour.
What is the total number of hours the baker needs to decorate 4 cakes?

Answers

Answer:

4 hours

Step-by-step explanation:

It takes one hour to make one cake, so we can put that as a ratio of 1:1.

4 cakes means you multiplied one side by 4, as it is 4 cakes and not one, so you multiply the time by 4 too.

4 hours

Answer:

4 hours is needed for the baker to decorate 4 cakes.

Marking brainliest!

Don’t use the internet pls!

Answers

I would say based on Lincoln's success and that Lincoln helped inspire Martin. Lincoln won the Civil War which helped open the minds of other people who were pro-slavery so that's what I mean about the success.

Janine has 48 hockey cards in one book and 105 hockey cards in another book. The hockey cards come in packages of 5 cards. If Janine bought all of her hockey cards in packages, how many packages did she buy?

Answers

Answer: 31

Step-by-step explanation:

Janine has 48 hockey cards in one book and 105 hockey cards in another book. Therefore, the total hockey cards will be:

= 48 + 105

= 153 hockey cards

Since the hockey cards come in packages of 5 cards, the number of packages that she will buy will be:

= 153/5

= 30 3/5

= 31

Therefore, she'll buy 31 packages

Somebody help me with this

Answers

Answer:

D s>350000

Step-by-step explanation:

The difference in base salary is 7,000 (45,000-38,000). To earn an additional 7,000, sales must be at least 350,000.

350000 x.02 (2% commission) is 7,000

The temperature in a room begins at 70°F and decreases at a rate of 8 F per hour. Which of the following tables represents this situation? ​

Answers

Answer:

B

( temp starts at 70 and DECREASES 8 per HOUR )

Determine the equation of the line parallel to the line y=34x+2
y=3/4x+2 that passes through the point (4, -3).

Answers

Answer:

y = 34x - 139 (y = 34x + 2)

y = [tex]\frac{3}{4}[/tex]x - 6 (y = 3/4x +2)

Step-by-step explanation:

(I'm not sure if the two equations were the same or not, but I provided the answers just in case.) Parallel lines are two lines that have the same plane and slope but never intersect. To find the equation, use the formula y - [tex]y_{1}[/tex] = m (x - [tex]x_{1}[/tex])

On a coordinate plane, triangle A B C has points (negative 1, 2), (negative 1, negative 1), (2, negative 1). Given △ABC, use a dilation with the center at the origin to make a similar triangle with side lengths three times as large. What are the coordinates of C' of the image? (–6, 3) (–3, 6) (3, –6) (6, –3)

Answers

Answer:

D

Step-by-step explanation:

Answer: (6, -3)

Step-by-step explanation: just did the assignment on edge

Two forces of 960 pounds and 670 pounds act simultaneously on an object. The angle between the two forces is 34 degrees find the magnitude of the resultant to the nearset tenth.

Answers

Answer:

1561

Step-by-step explanation:

Name an angle supplementary to angle COD.

Answers

Answer:

ur question is incomplete. what is angle COD

Order these numbers from least to greatest: -4, 1/4, 0, 4, -3& 1/2, 7/4, -5/4

Answers

Answer:

-4 < -3 < -5/4 < 0 < 1/4 < 1/2 < 7/4 < 4

Step-by-step explanation:

Answer:

In order of least to greatest.  -4, -3 1/2, -5/4, 0, 1/4, 7/4, 4

Step-by-step explanation:

What are these numbers least to greatest ??!!! 8th grade math !!

Answers

Answer:

i gotchu its d

Step-by-step explanation:

hope it helps!

Yep it’s definitely D.

please help me!!! i’m so bad at math hahaha

Answers

Answer:

Step-by-step explanation:

64x³-64x²-9x+14

Lionel wrote an arithmetic sequence. The first five terms of the sequence are shown below.
3, 10, 17, 24, 31, ...

What is the next term of Lionel's sequence? Show or explain how you got your answer.

Answers

Answer:

The common difference between numbers is 7.

3

3+7=10

10+7 = 17

17+7=24

24+7=31

31+7= 38

3, 10, 17, 24, 31, 38

Find the volume of each of the following
9m
9m
9m

Answers

Volume of cube = length * width * height
Or otherwise side^3
9 * 9 * 9 = 729

Solution: 729 m^3

Answer:

[tex]\huge\boxed{V=729m^3}[/tex]

Step-by-step explanation:

The formula of a volume of a cube:

[tex]V=s^3[/tex]

[tex]s[/tex] - an edge

We have [tex]s=9m[/tex].

Substitute:

[tex]V=9^3=729(m^3)[/tex]

ONLY NEED ANSWER FOR PART B PLEASE AND THANK U!!

Windows on the International Space Station are shown below. Suppose the long base of the window is 15.2 feet and the short base is 11.2 feet. The perpendicular height from one base to the other base is 8.4 feet. Draw one of the trapezoid-shaped windows on grid paper and label its dimensions. Describe the process you would use to find the area of one trapezoid-shaped window. (2 points)


Calculate the area of the window using the dimensions given in Part A. Show your work and explain your reasoning. (4 points)

Answers

Answer:

The formula is Area = base+base/2 x height.

Step-by-step explanation:

This means that we need to add both bases, then  divide that by 2. The quotient of that gets multiplied by the height, and you have your answer.

Answer:

½h(a+b)

Step-by-step explanation:

½×8.4(11.2+15.2)

4.2 × 26.4

105.68

The varsity soccer team has 20 players. Three of the players are trained to be goalies while the remaining 17 can play any position. Only 11 of the players can be on the field at once.
(a) We want to find the number of possible groups of 11 players the coach can choose. Is this a
permutation or a combination?
(b) If the coach wanted to choose her 11 starters at random by drawing names from a hat, how many possible groups of 11 starters could she choose?
(c) The coach wants to make sure there is exactly one goalie on the field. How many ways can the
coach choose a lineup of 11 players if exactly 1 player must be a goalie?

Answers

Answer:

Combination.

167960

58344

Step-by-step explanation:

A.)

Choosing 11 players from 20 ; here the order in which the players are chosen does not matter, hence it is a combination problem.

2.)

Using nCr

n = 20 ; selection, r = 11

nCr = n! / (n-r)!r!

20C11 = 20! / 9!11!

20C11 = 167960

3.)

1 goalie 10 players

3C1 * 17C10

3 * 19448

= 58,344 ways

helpmiiiiiiiiiiiiiiiiiiiiiiiiii​

Answers

Answer:

[tex]2x - 3y = 5 - - - (a) \\ 5x = 4y + 14 \\ 5x - 4y = 14- - - (b) \\ 5 \times (a) - 2 \times (b) : \\ - 7y = - 3 \\ y = \frac{3}{7} \\ x = \frac{22}{7} [/tex]

Answer:

SO not sure if you want me to solve the equation after, but if it's just asking for the matrix method then here ya go

Step-by-step explanation:

SO, first equation is already in matrix form

Second equation = -5x + 4y = -14

So your answer is:

2x - 3y = 5

-5x + 4y = -14

What is the value of 5•(13÷3)÷2? Please answer!!!!!

Answers

Answer:  10.83

Step-by-step explanation:

Pemdas

65/6 maybe I am not sure though
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