Aubree invested $16,000 in an account paying an interest rate of 5.6% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $45,600?

Answers

Answer 1

Answer:

t=18.7

Step-by-step explanation:

Answer 2

After 19.2 year the account reach $45,600.

What is Interest?

The cost of borrowing money is called interest, and it is typically stated as a percentage, such as an annual percentage rate (APR). Lenders may charge interest to borrowers for using their funds, or borrowers may charge interest to lenders for using their funds.

We have,

P =$16, 000

R= 5.6%

Future value = $45, 600.

Now, using

16,000 (1 + 5.6%[tex])^x[/tex] = 45,600

(1 + 5.6%[tex])^x[/tex] = 2.85

Taking log on both side we get

x log (1.056) = log (2.85)

x= 19.2

Thus, the time taken is 19.2 years.

Learn more about Interest here:

https://brainly.com/question/22739288

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Related Questions

Can someone please help? I need to get this doe so I can do something important

Answers

Answer:

9. 4/1 or 4. 10. 0

Step-by-step explanation:

9.

Slope- y2-y1/x2-x1

11-7/4-3= 4/1 or 4

10.

Slope-y2-y1/x2-x1

7-7/5-0= 0/5

When 0 is the numerator of the slope, then the slope is 0.

x
X




You put $1200 into an investment yielding 11%
annual interest; you left the money in for two
years. How much interest do you get at the end
of those two years?

Answers

Answer:

$1864

Step-by-step explanation:

11% of 1200=132

132×2(years)=264

1200+264=1864

Erica is a police officer. She earns $24 an hour. Sometimes she works extra shifts and earns time and a half for each hour she works over 40. Erica is paid biweekly. Last week she worked 44 hours and this week she worked 52 hours. Calculate Erica's Gross Pay

Answers

Answer:

Gross pay = $2496

Step-by-step explanation:

Erica earns $24 an hour. She works extra shifts and earns time and a half for each hour.

Her extra earning starts over 40 hours.

Therefore, her extra earning above 40 hours = 1.5 × 24

                                                                           = $36 per hour

She worked for 44 hours in last week, her total earnings for last week

= (40 × $24) + (4 × $36)

= 960 + 144

= $1104

She worked for 52 hours this week, her total earnings for this week

= (40 × $24) + (12 × $36)

= 960 + 432

= $1392

Since, Erica was paid biweekly,

Her gross income = $1104 + $1392

                              = $2496



Fill the empty slots by dragging tiles from the left to show the Solve the two-step equation and identify the steps.
next step for solving the equation.
Solve the two-step equation and identify the steps. 2= -7/4+1/4x
1.______ 7/4 to both sides.
2.______ by 4
The solution is X =_____

Answers

Answer: 1. Add 2. Multiple both sides 3. 15

Step-by-step explanation: hope this helps

Answer: 2 = − 7

4

+ 1

4

x

1.

✔ Add

Start Fraction 7 over 4 End Fraction to both sides.

2.

✔ Multiply both sides

by 4.

The solution is x =

✔ 15

.

Step-by-step explanation: i just did it on ed

Set up a proportion to solve for x.
A 18
B) 9
C) 4.2
D) 3
HELPP

Answers

It’s C. (4.2)

Explanation:
6x3=18

Then find the square root of 18

=4.2

daily wages of a factory workers are recorded as
C.I
12-126 127-132. 133-138. 139-144
Freq.
5. . 27. 20. 18

the lower limit of model class is. [. ]
a) 127
b 126
c) 126. 5
d) 133​

Answers

Answer:

I think the answer is c I hope it helps I not a 100 percent

Answer:

*the hero (me) enters into the battlefield*

Step-by-step explanation:

i am here to fight sharon she is given time for surrender or be get defeated by me !!!!

uk u can never winnnn with me

The ordered pair (3,9) is a solution to the following system of equations.
y = x + 6
y = 2x + 3

A) True
B) False

Answers

The answer to the question is: true

Write an equation of the line that passes through (-1, – 4) and is perpendicular to the line y = (3/4)x -2

Answers

Step-by-step explanation:

The equation of the line is given above

1 2 ÷ 3 2 1 ​ ÷3 need help lol

Answers

Answer:

0.012461059

Step-by-step explanation:

Answer:

g00gle says 0.01246105919

Step-by-step explanation:

How to write the question using the follow sentence


Will mark Brainliest

Answers

Answer:

3(x+2) - 5

Step-by-step explanation:

Answering so the guy above me will get the brainiest lol

Rewrite the inequality with zero on one side and one rational expression on teh other. 3/x+2+4>3 what is the first step

Answers

Answer:

Add –3 to both sides

Step-by-step explanation:

edge 2021


HELP NOW URGENT PLEASE!!
Last month you spent $30 on clothing. This month you spent 140% of what you spent last month. How much did you spend this month?

Answers

Answer:

42

Step-by-step explanation:

Answer: you spent 63

Step-by-step explanation:

Use the Distributive Property to expand this expression.

z(–6.4 – 3.5x)

Answers

Answer:

[tex]z\left(-6.4\:-3.5x\right)=-6.4z-3.5zx[/tex]

Hence, Option 'C' is true.

Step-by-step explanation:

Given the expression

[tex]z\left(-6.4\:-3.5x\right)[/tex]

Apply distributive law:   [tex]a\left(b-c\right)=ab-ac[/tex]

Here:  [tex]a=z,\:b=-6.4,\:c=3.5x[/tex]

so the expression becomes

[tex]z\left(-6.4\:-3.5x\right)=z\left(-6.4\right)-z\cdot \:\:3.5x[/tex]

                         [tex]=-6.4z-3.5zx[/tex]                 ∵  [tex]+\left(-a\right)=-a[/tex]

Therefore,

[tex]z\left(-6.4\:-3.5x\right)=-6.4z-3.5zx[/tex]

Hence, option 'C' is true.

Need help please asap

Answers

Answer:

A

Step-by-step explanation:

A because 21 is a greater number than 9 and therefore should be in the denominator. That leaves you with 9 which is a smaller number and should go on the numerator. Hope this helped you!

Which are characteristics of the graph of the function f(x) = (x + 1)2 + 2? Check all that apply

Answers

Answer:

A. the domain is all real numbers. and

B.the y-intercept is 3

I NEED HELP ASAP!!! I'LL GIVE BRAINLIEST TO CORRECT ANSWER!!!

A.) SU = 22 cm
B.) SU > 22 cm
C.) There is not enough information to determine the relative length.
D.) SU < 22 cm

Answers

D. since angle pqr is 52 and angle stu is 50. you know that su has to be shorter than pr

hope this helps!

Answer:

SU < 22 cm

Step-by-step explanation:

Please help me out on this one please thank hope y’all are safe love you all

Answers

It would be D because since every side is doubled then you add 10+6+8=24ft

Hope this helps

Have a great day/night

How can you diffrentiate "less" and "less than"? Can these terms be used in mathematics? How?​

Answers

Less or less than means to subtract in math
mathematics. Example would be Bob and 100 apples but Emily has 15 apples
less than Bob, how many apples in total?
Which weighs less 1 oz of sugar or 1 lbs of sugar.
less" simply means "-" minus. subtract. for example 6 less 3 is 6-3 which is equal to 3

where as

less than means this number is of lower value than that of the other number. for example 3 is less than 6

Seems easy but this has my brain hurting.

Answers

Answer:

E and D

Step-by-step explanation:

Just make a mental line which these letters connect to each other.

2.) Mackenzie uses 1/5 of a cup of sugar for 1/3 of a gallon of lemonade.
How many cups of sugar would she need for a whole gallon of lemonade?*

Answers

Answer:

3/5 cups of sugar

Step-by-step explanation:

If 1/5 of a cup of sugar is used for 1/3 of a gallon of lemonade, 1/5 of a cup will be used in each of the overall three thirds of a gallon.

Answer:

3/5 cup of sugar good luck

Dana's car averages 28 miles per gallon of gas, and it currently contains 1 gallon of gas. If
Dana adds $10.00 worth of gas, sold for $2.50 per gallon, how many miles can he expect to
drive before running out of gas?

Answers

Answer: Is 140
Question: Dana's car averages 28 miles per gallon of gas, and it currently contains 1 gallon of gas. If Dana adds $10.00 worth of gas, sold for $2.50 per gallon, how many miles can he expect to drive before running out of gas?

Answer:

140 miles

Step-by-step explanation:

10/2.5=44 gallons + 1 gallon= 5 gallons28 miles per gallon28*5 or 28+28+28+28+28=140

Solve the equation for x. x^2 = 900

Answers

Answer:

x = 30, -30

Step-by-step explanation:

square root both sides to get the answer x=30


Copy the expressions which are polynomials. Give reasons why the remaining are
not polynomials.
a)3x-2
b)p^2+1/p
c3y^2-2y/3+1

Answers

Answer: a and c are polynomials, b is not.

Step-by-step explanation:

A polynomial p(x) is written as:

p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x¹ + a₀*x⁰

where x is the variable, and the numbers aₙ, aₙ₋₁, ..., a₁, a₀ are the coefficients of the polynomial, such that aₙ is the leading coefficient, and the value of n (always a natural number) is the degree of the polynomial.

Notice that the powers need to be always natural numbers.

Now, let's analyze the options:

a) 3*x - 2

We can rewrite this as:

3*x¹ - 2*x⁰

Then this is a polynomial.

b) p² + 1/p    (in this case the variable is p)

the second term can be written as:

1/p = p⁻¹

Then we have a term with a negative power of p, this means that this is not a polynomial.

c) 3*y² - 2*y/3 + 1

Same as in the first case, we can rewrite this as:

3*y² - (2/3)*y¹ + 1*y⁰

This is a polynomial.

HELP!!!!! 50 POINTS!!
Graph the image of the figure after a dilation with a scale factor of 3 centered at (2, −7)
Use the Polygon tool to graph the quadrilateral by connecting all its vertices.
(Picture in file below)

Answers

The picture isn’t popping up

Select the correct answer.
The slope of the function on the left is multiplied by p, and is added to the yIntercept to arrive at the function on the right. Which of the
following are the values for p and q?
A. p = -2 and q = -2
В. p=-2 and q = -4
C. P = 2 and q = -3
D. P = -2 and q = -3

Answers

Answer:

p = -2

q = -3

Step-by-step explanation:

Let us get the equation of the two graphs

General equation form is;

y = mx + b

m is slope and b is the y-intercept

For the first one;

y intercept is 1

So the equation is;

y = mx + 1

The x-intercept is -2

the value of y at the x-intercept is 0

0 = -2m + 1

1 = 2m

m = 1/2

so;

1/2 * p

p/2

q added to y-intercept;

q + 1

Let us get the equation of the second plot

y-intercept is -2

Equation is;

y = mx - 2

We can get slope using x-intercept

x-intercept is -2

0 = -2m - 2

2m = -2

m = -1

So;

p/2 = -1

p = 2 * -1 = -2

For the value of q;

q + 1 = -2

q = -2-1 = -3

solve the equation 7( 4+p) = 28

P=0

P=8

P=7​

Answers

Answer:

Step-by-step explanation:

1: 7(4+0)=28

7(4)=28

28=28

this is correct

Answer:

p=0

1) use distributive property

7*4+7p=28

28+7p=28... solve for p

7p=28-28

7p=0... divide both sides by 7 to find p

p=0

John and his friend ordered lunch at a local sandwich shop. They each ordered a soft drink that costs $1.65. John orders a whole ham sandwich and his friend ordered half of a ham sandwich. Their total bill is $12.54. What equation can you use to find the cost c of a sandwich, and what is the value of c

Answers

Answer:

a. $12.54 = $ 1.65 + c/2 + c b. $ 7.26

Step-by-step explanation:

a. What equation can you use to find the cost c of a sandwich

Let c be the cost of a whole ham sandwich. Now, the total bill = cost of drinks + cost of half a ham sandwich  + cost of a whole ham sandwich.

total bill = $ 12.54, cost of drinks = $ 1.65, cost of half a ham sandwich = c/2 and cost of a whole ham sandwich = c. So,

$12.54 = $ 1.65 + c/2 + c

b. What is the value of c

We then solve for c in the equation $12.54 = $ 1.65 + c/2 + c

collecting like terms, we have

$12.54 - $ 1.65 = c/2 + c

$ 10.89 = 3c/2

multiplying through by 2, we have

$ 10.89 × 2 = 3c

$ 21.78 = 3c

dividing through by 3, we have

c = $ 21.78/3

= $ 7.26

Stacy spent £20 on ingredients for bread.
She made 18 loaves and sold them for £1.40 each.
Calculate her percentage profit.

Answers

Answer:

Stacy made £25.2 from the 18 loaves of bread. So She made £5.20 as a profit.

Step-by-step explanation:

18 loaves of bread × £1.4 = £25.2 Round it up = £25

£25.20 - £20 = £5.20 Round it up = £5

Stacy Made about £5 as profit.

Which of the following is an improper integral?
A) the integral from 0 to 3 of the quotient of the quantity x plus 1 and the quantity 3 times x minus 2 dx
B) the integral from 1 to 3 of the quotient of the quantity x plus 1 and the quantity 3 times x minus 2 dx
C) the integral from negative 1 to 0 of the quotient of the quantity x plus 1 and the quantity 3 times x minus 2 dx
D) None of these

Answers

Answer:

A)  [tex]\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx[/tex]

General Formulas and Concepts:

Calculus

Discontinuities

Removable (Hole) Jump Infinite (Asymptote)

Integration

IntegralsDefinite IntegralsIntegration Constant CImproper Integrals

Step-by-step explanation:

Let's define our answer choices:

A)  [tex]\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx[/tex]

B)  [tex]\displaystyle \int\limits^3_1 {\frac{x + 1}{3x - 2}} \, dx[/tex]

C)  [tex]\displaystyle \int\limits^0_{-1} {\frac{x + 1}{3x - 2}} \, dx[/tex]

D) None of these

We can see that we would have a infinite discontinuity if x = 2/3, as it would make the denominator 0 and we cannot divide by 0. Therefore, any interval that includes the value 2/3 would have to be rewritten and evaluated as an improper integral.

Of all the answer choices, we can see that A's bounds of integration (interval) includes x = 2/3.

∴ our answer is A.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit:  Integration

Book: College Calculus 10e

7
2
2 2 3
8
0
58
9
3 7
10
0

Answers

Answer:

Wut...?

Step-by-step explanation:

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