A loan of $20,000 is made at 7% interest, compounded annually. After how many years will the amount due reach $41,000 or more?​

Answers

Answer 1

Answer:

Step-by-step explanation:

11 years

Using the compound interest formula. :

Final amount, A = 41000 or more

Rate, r = 7% = 0.07

Loan amount, P = 20,000

Number of compounding times per period = 1

A = P(1 + r/n)^nt

41000 = 20000(1 + 0.07)^t

41000/20000 = 1.07^t

2.05 = 1.07^t

t = log(2.05) / log(1.07)

t = 10.609727

t = 11 years


Related Questions


Solve for X
5x + 2 = 7x – 4

Answers

x = -3

I’m not sure if that’s correct but hope that helps :)

Answer:

x = 3

Step-by-step explanation:

5x + 2 = 7x – 4

-2x = -6 (Subtraction)

x = 3 (division)

divided by negative from a negative so,

negative/negative = positive.

8n + 2 - 6n - 13 = 9 + 2n - 13

Answers

Answer:

I love math anyways

the ans is in the picture and the steps hope it helps :D hehe

(hope it helps can i plz have brainlist it will make my day :D hehe)

Step-by-step explanation:

solve by elimination
x+y= 0
2x-y= 12​

Answers

Answer:

m=2

Step-by-step explanation:

I calculated it sorry

Answer:

(x,y)= (4,-4)

Step-by-step explanation:

Thanks me later

Determine the permanent life insurance amount per thousand given that the policy belongs to a healthy 25-year-old
male with an annual premium of $4,072.2 and a face value of $110,000 on a 20-Year Endowment insurance policy
a $38.96
$37 67
b. $38.23
di $37.02
C

Answers

Answer:

The Answer is D

Step-by-step explanation:

Just took the quiz

Please help with the answer

Answers

Answer:

not parallel

Step-by-step explanation:

Actually they're Perpendicular.

A group of students plotted the number of hours they worked at a cake shop during the holidays and the number of cakes they delivered in a week.

Graph shows 0 to 60 on x axis and y axes at increments of 10. The label on the x axis is Weekly Hours Worked, and the label on the y axis is Number of Cakes Delivered. Dots are made at the ordered pairs 12, 13 and 16, 15 and 20, 27 and 23, 21 and 26, 37 and 31, 29 and 35, 41 and 38, 46 and 42, 52 and 43, 49 and 45, 54 and 49, 51.

Which statement best describes the relationship between the number of hours spent working at the cake shop and the number of cakes delivered?

Greater hours worked, more cakes delivered
Fewer hours worked, more cakes delivered
Greater hours worked, fewer cakes delivered
There is no relationship between hours spent working and number of cakes delivered.

Answers

Answer:

As the x value increases, the y value also increases. So as one increases the other increases.

So your answer is

Greater hours worked, more cakes delivered

Step-by-step explanation:Hope this helps :-)

Answer:

It would be no other than A. :) I got this by putting a very skinny strip of paper and making the graph then, I easily just went from the 0 points and saw how the numbers on each side are both even it would make more sense as A because it is just how this works! :)

Step-by-step explanation:

¿Cuál es el número x cuyo cuadrado es igual a cuatro veces la suma del número y
8?
porque​

Answers

Answer:

es 48876256542389087565

8/9 ÷ 4/9 = ??????????​

Answers

Answer:

2

Step-by-step explanation:

This expression can be rewritten as

8

----

9

======

 4

 ---

  9

If we now invert the denominator fraction 4/9 and multiply the result, we get:

 8       9

----- * ----- = 2

 9       4

Here is my answer, hope to help you

Everyday Erin’s Orange stand uses 1 3/8 bags of oranges for how many days will 5 1/2 bags of oranges last

Answers

1+3/8=(8+3)/8=11/8 used per day. 5+1/2=(10+1)/2=11/2 available.

(11/2)/(11/8)=(11/2)(8/11)=88/22=4

(REPOST) answer if you KNOW the answers!

Answers

Answer:

hello! :) have a good day!

1). 24

2). 27

3). 5

PICTURE 1:

The answer is 24: (13 7/10) Rounded To The Nearest Whole Number is: (14)

[tex]13 \frac{7}{10} = 14[/tex]

AND,

(10 1/8) Rounded To The Nearest Whole Number is: (10)

[tex]10 \frac{1}{8} = 10[/tex]

So, 14 + 10 = 24

______________________________________

PICTURE 2:

The answer is 5: (8 1/5) Rounded To The Nearest Whole Number is: (8)

[tex]8 \frac{1}{5} = 8[/tex]

AND,

(2 7/8) Rounded To The Nearest Whole Number is: (3)

[tex]2 \frac{7}{8} = 3[/tex]

So, 8 - 3 = 5

______________________________________

PICTURE 3:

The answer is 27: (58 5/12) Rounded To The Nearest Whole Number is: (58)

[tex]58 \frac{5}{12} = 58[/tex]

AND,

(30 5/7) Rounded To The Nearest Whole Number is: (31)

[tex]30 \frac{5}{7} = 31[/tex]

So, 58 - 31 = 27

______________________________________

HERE ARE ALL THE ANSWERS:

PICTURE 1: 24

PICTURE 2: 5

PICTURE 3: 27

HOPE THIS HELPS!! :)

Estimate the product by rounding to the nearest

thousand 7763 x 50,737

find the estimated product

Answers

8000x 51000 = 408000000

p(x) = x3 - 2x2 + 2x
What are the real and complex zeros of the equation

Answers

Given:

The polynomial is

[tex]p(x)=x^3-2x^2+2x[/tex]

To find:

The real and complex zeros of the equation.

Solution:

We have,

[tex]p(x)=x^3-2x^2+2x[/tex]

For zeros, p(x)=0.

[tex]x^3-2x^2+2x=0[/tex]

[tex]x(x^2-2x+2)=0[/tex]

[tex]x(x^2-2x+2)=0[/tex]

[tex]x=0\text{ and }x^2-2x+2=0[/tex]

The real value of x is 0. The equation [tex]x^2-2x+2=0[/tex] will give complex roots. Here, a=1, b=-2 and c=2.

Using quadratic formula, we get

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(1)(2)}}{2(1)}[/tex]

[tex]x=\dfrac{2\pm \sqrt{4-8}}{2}[/tex]

[tex]x=\dfrac{2\pm \sqrt{-4}}{2}[/tex]

On further simplification, we get

[tex]x=\dfrac{2\pm \sqrt{-1}\sqrt{4}}{2}[/tex]

[tex]x=\dfrac{2\pm 2i}{2}[/tex]

[tex]x=\dfrac{2(1\pm i)}{2}[/tex]

[tex]x=1\pm i[/tex]

Therefore, the real zero is 0 and the complex zeros are 1+i and 1-i.

A candidate for a US Representative seat from Indiana hires a polling firm to gauge her percentage of support among voters in her district.

a. If a 95% confidence interval with a margin of error of no more than 0.04 is desired, give a close estimate of the minimum sample size that will guarantee that the desired margin of error is achieved. (Remember to round up any result, if necessary.)
b. If a 95% confidence interval with a margin of error of no more than 0.02 is desired, give a close estimate of the minimum sample size necessary to achieve the desired margin of error.

Answers

Answer:

a) The minimum sample size is 601.

b) The minimum sample size is 2401.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

For this problem, we have that:

We dont know the true proportion, so we use [tex]\pi = 0.5[/tex], which is when we are are going to need the largest sample size.

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

a. If a 95% confidence interval with a margin of error of no more than 0.04 is desired, give a close estimate of the minimum sample size that will guarantee that the desired margin of error is achieved. (Remember to round up any result, if necessary.)

This is n for which M = 0.04. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.04\sqrt{n} = 1.96*0.5[/tex]

[tex]\sqrt{n} = \frac{1.96*0.5}{0.04}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2[/tex]

[tex]n = 600.25[/tex]

Rounding up

The minimum sample size is 601.

b. If a 95% confidence interval with a margin of error of no more than 0.02 is desired, give a close estimate of the minimum sample size necessary to achieve the desired margin of error.

Now we want n for which M = 0.02. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.02\sqrt{n} = 1.96*0.5[/tex]

[tex]\sqrt{n} = \frac{1.96*0.5}{0.02}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.02})^2[/tex]

[tex]n = 2401[/tex]

The minimum sample size is 2401.

Type the correct answer in the box. If necessary, use / for the fraction bar and simplify the fraction. cos(75°)cos(15°) =

will mark brainliest

Answers

Answer:

1/4

Step-by-step explanation:

using the product-to sum formulas, this is

1/2 (cos(75+15) + cos(75-15))

Answer:

1/4

Step-by-step explanation:

PLATO USER

㏒7 41 pLz hElP pLZZz

Answers

Answer:

log(41)/log(7) OR 1.90839852...

6) The height of any child in Mr. Diaz's kindergarten class is no greater than 46 inches.
Unkno
e) Let h be the height in inches of a child in the class. Write an inequality that means that
a height is no greater than 46 inches.
h < 46
Unkno
•) Graph the inequality h < 46.
egunkno
58
60
54
56
50
52
48
46
44
40
42
0 0
Crin
mage

Answers

Answer:

full arrow going left from 46

Step-by-step explanation:

Inequalities are used to represent unequal expressions.

The inequality is: [tex]h \le 46[/tex]

The height (h) is said to be no greater than 46 inches.

The text "no greater than" means less than or equal to.

In inequalities, less than or equal to is represented with <=

So, the inequality is:

[tex]h \le 46[/tex]

See attachment for the graph of the inequality.

Read more about inequalities at:

https://brainly.com/question/18881247

Solomon graphs a point on the coordinate plane. Which point did Solomon graph?

Answers

Answer:

Try your best! I know you can do it!

1) Um barbante tem 10,85 metros de comprimento. Se você dividir em 5
pedaços de mesmo comprimento, quantos centímetros terá cada
pedaço?*

(a) 2,17 cm

(b) 217 cm

(C) 21,7 cm

(d) 0,217 cm

(ajudem pfvv ;)​

Answers

Answer: A

Step-by-step explanation:

It's on edge i got a 100%

Which inequality describes the relationship between points A and B on the number line?

Answers

Can you put the picture on it?

Solve the equation for the indicated variable.
А= 1/2bh for b

Answers

A = 1/2bh

Divide h by both sides.

A/h = 1/2b

Divide 1/2 by both sides.

b = 2a/h

You got paid $343 for 7 hours of work. Find the unit rate.

Answers

Answer:

$49 / hour

Step-by-step explanation:

343/7 = $49/hour

Answer:

49

Step-by-step explanation:

You do 343÷7 which equals your sum

Find the derivative of the function. f(x) = 4x2 − 8x + 2

Answers

Answer:

Step-by-step explanation:

Use the power rule for differentiation

[tex]f'(x)=nx^n^-^1[/tex]

[tex]f'(x)=(4\frac{d}{dx} 2x^2^-^1)-(8\frac{d}{dx} 1x^1^-^1)+\frac{d}{dx}2[/tex]

[tex]f'(x) =8x-8[/tex]

The derivative of a constant is always zero

Help
==================

Answers

Answer: 0.5

Step-by-step explanation:

17 is half of 34 and 1/2 = 0.5

Answer: 0.5  is this second grade

A = [1, 3, 5, 7, 9)
B = (2, 4, 6, 8, 10)
C = {1, 5, 6, 7, 9)
AU (Bn C) =

Answers

Answer:

the second one

Step-by-step explanation:

I think

A scientist changes the temperature of a solution at a rate of
-6°C per minute. How many minutes will it take for the solution's
temperature to change from 0°C to -54°C?
A 9 min
B 324 min
C 60 min
D 48 min

Answers

Answer: A 9 min

Step-by-step explanation:  54/6=9

          (9)    

-6-6-6-6-6-6-6-6-6=-54


Plzzzzz helpp!!!!!!!!!!!!!!

Answers

the answer is the first one!

kiran poured 15 cups of water into equal-sized pitches and filled 1 1/2. How much water was in the full pitcher?

Answers

9514 1404 393

Answer:

  10 cups

Step-by-step explanation:

The number of cups in a pitcher can be found by dividing cups by pitchers:

  (15 cups)/(1.5 pitchers) = 10 cups/pitcher

A full pitcher holds 10 cups.

Need quick answer plz

Answers

Answer:

8 is the answer

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

[tex]z=2^{3}[/tex]

This question is essentially asking what is two to the third power, or;

[tex]2 * 2 * 2[/tex]

[tex]= 8[/tex]

Find the area. Simplify your answer.

Answers

Answer:

We know,

Area of parallelogram = b * h

= 2x * 7 = 14x

Hope it helped

All the best!!

how many solutions does the equation 5x-8=3x+8​

Answers

Answer:

One solution

Step-by-step explanation:

5x-8 = 3x+8

2x = 16

x = 8 = true once

Answer:

x=2

Step-by-step explanation:

5x-8=3x+8

= >

5x-3x=8+8

=8x= 16

therefore x= 16/8

ie) 2

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