2) How long will it take for $1300 to grow to $ 45,600 at an interest rate of 8.9% if the interest is compounded
continuously? Round the number of years to the nearest hundredth.

Answers

Answer 1

Answer:

  39.97 years

Step-by-step explanation:

The compound interest formula is ...

  A = Pe^(rt)

Solving for t gives ...

  ln(A/P)/r = t

  t = ln(45600/1300)/0.089 ≈ 39.97 . . . years

It will take 39.97 years for $1300 to grow to $45,600 when earning 8.9% interest compounded continuously.


Related Questions

Does anyone know this?

Answers

Answer:

i think c or b I D K

Step-by-step explanation:

Which is an x-intercept of the graph of the

Answers

Answer:

(5π/8, 0)

Step-by-step explanation:

x intercept occurs when y = 0

0 = tan(x - 5π/8)

as tan0 = 0

x - 5π/8 = 0

x = 5π/8

A group fitness gym classifies its fitness class attendees by class type and member status. The marketing team has gathered data from a random month, in which there were 2333 class attendees. The data is summarized in the table below. Class Type and Member Status of Class Attendees Class Type Member Non-Member Barre 157 232 Boot Camp 259 258 Boxing 282 215 Spinning 161 235 Yoga 271 263

Answers

The likelihood that a class attendee is a non-member of the gym taking a barre class or a member of the gym taking a boot camp class is 0.009.

What is the probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The marketing team has gathered data from a random month, in which there were 2039 class attendees.

The probability that a class attendee is a non-member of the gym and is attending a barre class

= 185/2039

= 0.09

The probability that a class attendee is a member of the gym and is attending a boot camp class

= 204/2039

= 0.10004

The probability for both the event would be

= 0.09 x 0.10004

= 0.009

The complete question is attached with the answer below.

Learn more about probability here;

brainly.com/question/11234923

#SPJ2

The pair of polygons is similar. Find the value of x.

187. 5 in
12 in
30 in
37.5 in

Answers

The ratio of 75 and 30 is 5:2 or 2.5:1. Since both polygons are similar we can say that the ratio of the smaller polygons given side to x is the same as the larger one so we multiply 12 by 2.5 and get 30. 30in is the answer

Leah can build a brick wall in 7 hours, while her apprentice can do the job in 10 hours. How long does it take for them to build a wall together

Answers

Answer:

70/17 hours or 4 2/17 hours

Step-by-step explanation:

The equation we use is 1/7 + 1/10 = 1/x, x being the time it took them together to build. x works out to 70/17 hours

Leah and her apprentice can build the wall together in 4 2/17 hours

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Hours required by Leah to build a wall = 7 hours

So , Leah builds ( 1/7 )th of the wall per hour

Hours required by apprentice to build a wall = 10 hours

So , Apprentice builds ( 1/10 )th of the wall per hour

When they are both building the wall together , they build
( 1/7 )th + ( 1/10 )th of the wall together per hour = 1 / x

Therefore , the equation will be

1/x = 1/7 + 1/10

1/x = 17 / 70

Taking reciprocal on both sides , we get

x = 70/17

x = 4 2/17 hours  

Hence , Leah and her apprentice can build a wall together in 4 2/17 hours

To learn more about Equations click :

https://brainly.com/question/10413253

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Find the equation of the line that passes through (3,1) and is parallel to y=2x+1.
Leave your answer in the form y=mx+c

Answers

9514 1404 393

Answer:

  y = 2x -5

Step-by-step explanation:

The parallel line will differ only in the value of c. That can be found using the given point.

  y = mx +c

  c = y -mx . . . . . . subtract mx to solve for c

  c = 1 -2·3 = -5 . . . . . . the value of m is 2 in the given equation (x, y) = (3, 1)

The equation of the parallel line is ...

  y = 2x -5

Find the measure of

Answers

Answer:

64

Step-by-step explanation:

360-115-129=116 (the sum of exterior angles of triangle is 360)

180-116=64

What is the minimum unit cost of C(x)=0.7^2-210x+27,464?

Answers

no local extrema i think?

Please I did help with this

Answers

Answer:

13.1

Step-by-step explanation:

Plane B is flying 55mph
55

mph
faster than Plane A and can fly 4275
4275
miles in the same amount of time it takes Plane A to fly 4000
4000
miles. Find the amount of time it takes for each plane to travel their respective distances.

Answers

Answer:

It takes around 5s for each plane to travel their respective distances.

Step-by-step explanation:

It takes 5s to each plane to travel

a car travels at 56 km per hour find the time it takes to travel 300 metres give your answer in seconds correct to the nearest second​

Answers

1km = 1000 m , thus 56km = 56000 m

1hr = 60 mins

1min = 60 secs, therefore 60 mins = 60*60 seconds = 3600 seconds = 1hr

so then, we know the car travels 56000 meters in 3600 secs, how many seconds will that be for 300 meters?

[tex]\begin{array}{ccll} meters&seconds\\ \cline{1-2} 56000&3600\\ 300&x \end{array}\implies \cfrac{56000}{300}=\cfrac{3600}{x}\implies \cfrac{560}{3}=\cfrac{3600}{x} \implies 560x=10800 \\\\\\ x = \cfrac{10800}{560}\implies x = \cfrac{135}{7}\implies x \approx 19.286\implies \stackrel{\textit{rounded up}}{x = 19}[/tex]

consider the line y= -9x + 5

Answers

Answer:

x= 5/9

Step-by-step explanation:

y=-9x+5

0=-9x+5

9x=5

x=5/9

Find set A′ ∩ B′
U={a, b, c, d, e, f, g}
A={b, c, e, g}

Answers

Answer:

i dont know

Step-by-step explanation:

i dont know

Simplify this equation

Answers

Answer:

6x²y³

Step-by-step explanation:

Answer:

6x²y³

Step-by-step explanation:

I need help I been here all day trying to solve this I'm good I reading not math ​

Answers

32,760 is the answer!!

pls help me i will mark you brilliant​

Answers

2. a) 3 days.

b) 1 hour.

3. a) 20 km

b) 1200 l

HEY IF YOURE SEEING THIS IM IN DIRE NEED OF YOU SOLVING NUMBER 4!!

Answers

Answer:

(1, -3) (2, -1) (3, 1)

Step-by-step explanation:

if seconds=x and degrees celsius=y, the points are (1, -3) (2, -1) (3, 1). to graph, plot the points on a graph. (ordered pairs are written as x,y)

Which number line and expression show how to find the distance from -4 to -1

Answers

Answer:

C

Step-by-step explanation:

because i said

13. For a weekly car rental, a car-rental company charges customers a flat fee of $100 plus
10 cents for every mile traveled.
15 Write an equation for the amount, A dollars, of a weekly rental for a car that travels
m miles.
16
Create a table of m and A values using the equation from part a for 150, 200, and
250 miles.

Answers

Answer:

a) y = 0.10(16) + 100

y = $ 101.60

b) y = 0.10(150) + 100

y = $115

c) y = 0.10(200) + 100

y = $120

d) y = 0.10(250) + 100

y = $125

Step-by-step explanation:

Two of the angles in a triangle measure 58 degrees and 25 degrees. What must be the measure of the third angle?

Answers

97 degrees

add up the two and subtract by 180

Secondary succession occurs following triggers such as logging, mining, wildfires, or

drought. The presence of soil nutrients allows for a faster recovery.

Hardwood trees

Pine trees

Perennials

and

grasses

Shrubs

Answers

Answer:7777

Step-by-step explanation:

evaluate the expression 5+3
some one answer me with a question not a link ​

Answers

Answer:

8

Step-by-step explanation:

Add 5 and 3

-Lexi

Which of the following Venn diagram represents two sets with no common elements?​

Answers

The Venn Diagram B, C and D, all represents two sets with common elements.

In B, the circle F is inside the circle G, so F share all of its elements with G. It is like a baby inside the belly of her mother :)

In C, F and G circles intersect and the intersection is their common space, and

the D is like the B.

But A reprents two sets F and G with no common elements. So the answer is A.

Good Luck

Caroline opens a savings account at her local
bank. She plans to put of her net paycheck
10
in her savings account every week. In June, her
paychecks are $164.69, $177.86, $187.74,
and $163.04. How much money did Caroline
put in her savings account in June?

Answers

Answer:

So she has $50–$43.85 = $6.15 in her pocket and $25 in her savings account

Step-by-step explanation:

If 2 sides of a triangle is 12 cm and perimeter is it 28cm prove it is a isosceles triangle

Answers

If 2 sides of a triangle is 12 cm and perimeter is it 28cm prove it is a isosceles triangle

Answer:

if it has two equal sides the triangle is isosceles by definition

Definition of

Isosceles Triangle

A triangle with two equal sides.

The angles opposite the equal sides are also equal.

find thr value of a and b ​

Answers

Answer: a) 250

b) I don’t understand

Step-by-step explanation: I’m not sure if it’s correct or not

Step-by-step explanation:

a⟩. a = (5x²)/2 = {5(10)²}/2 = {5(10*10)}/2 = {5(100)}/2 = 500/2 = 250Ans.

b⟩. b = {2x²(x - 5)}/10x = [2(10)²{10²-5}]/10(10)² = [2(10*10){10*10 - 5}]/10(10*10) = [2(100){100 - 5}/10(100) = [200 {95}]/1000 = 19000/1000 = 19 Ans.

Hope this helps!!

Show all your working.
2
3
Income tax
Everyone can earn a certain amount of money without paying tax. This
is called a Personal Allowance. They must pay tax on any earnings
over this allowance.
4
5
6
£11 850
Income tax Personal Allowance, 2018/2019
7
8
This formula gives the amount of Income tax a person pays in a year
T = 0.2 (y-p)
9
10
where T = income tax for the year
y = money earned per year
p = Personal Allowance
11
12
13
14
15
A caterer earns £1375 per month.

Answers

Answer:

The gravitational force acting between the two bodies is given by:

F=G

r

2

m

1

m

2

G=

m

1

m

2

Fr

2

The dimension of the force is [MLT

−2

]

=

[M][M]

[MLT

−2

][L

2

]

=M

−1

L

3

T

−2

Help help help please 2 more questions please please

Answers

it is first dilated by 4 and then reflected across the y-axis

How do I do i’m not sure

Answers

[tex](a)\\\\m=6.1\times 10^{-5},~~ t=1.7 \times 10^{-6} \\G = \sqrt{\dfrac{m}{t^2}} = \sqrt{\dfrac{6.1\times 10^{-5}}{\left(1.7 \times 10^{-6}\right)^2} } ~=4590\\\\\\(b)\\\\m=6.1\times 10^{-5}(1+ 8\%) = 6.1\times 10^{-5}(1+0.08) = 0.0000648\\\\t=1.7\times 10^{-6}(1+ 5\%)= 1.7\times 10^{-6}(1+0.05) =0.000001785\\\\\\G=\sqrt{\dfrac{m}{t^2}} = \sqrt{\dfrac{0.0000648}{(0.000001785)^2}}=4510[/tex]

BRAINLIEST!!!!!!!!!!!!!


What is the value of tan A?

○ 6/8

○ 8/6

○ 6/10

Answers

6/8

This is because tan is opposite over adjacent

6 is opp of A, and 8 is adjacent A
The value of tan is 6/8
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