You have $500 in a savings account. How long will it take to double that
amount at an 8% annual interest rate?

Answers

Answer 1

Answer:

Step-by-step explanation:

The formula for compound annual interest is  A = P(1 + r)t  where  

A = Accumulated or final amount  (double $500 = $1000)  

P = Principal or original amount  ($500)  

r = Rate as a decimal (0.08)

t = Time in years  

1000 = 500(1 + 0.08)t

2 = 1.08t  

Take the logarithm of both sides.  I prefer the natural logarithm ln, but if you're more comfortable with base 10 logs they will work just as well  

ln(2) = ln(1.08t)  

ln(2) = t*ln(1.08)

t = ln(2)/ln(1.08)

t = 9.0065 years  

Check:  500*1.089.0065 = $1000


Related Questions

At a glassworks, 60 pounds of composite glass is required to produce 15 pounds of glass. How many pounds of composite are
required to produce 3 pounds of this glass?

Answers

Ngl I think it’s 20 because 15 is 5x3 but 60 divided by 3=20 lmk if I’m wrong

7. Which set of ordered pairs represents a function?
A) {(-2,1),(-1,0). (1,-1), (2,-2), (3,-3)}

B) {(-2,57, (-2,5), (-2,7),(-2,9), (-2,11)}

C) {(1,5), 7,2), (9,1), (9,7), (2,7)}

D) {(-4,0), (-2,1),(0,2), (-2,4), (-4,6)}

Answers

C I hope it’s right :)

The sum of two numbers is 46 and their
difference is 20. What is the smaller
number?
1
A) 40
B) 13
C) 26
D) 12

Answers

46/2 is 23
20/2 is 10
The number is + or - 23
So 13 and 33
13

Answer:

B. 13

Step-by-step explanation:

We have two unknown numbers, let's have two variables for these two unknown numbers, X and Y.

"The sum of two numbers is 46 and their difference is 20."

Meaning we have two equations :

X + Y = 46

X - Y = 20

Looking at the last part of "their difference is 20." We can assume X = Y + 20

So substitute the assumed equation into X + Y = 46

(Y + 20) + Y = 46

2y + 20 = 46

Subtract 20 from both sides :

2y = 26

Divide 2 by both sides :

y = 13

There you go.

Jesse measured his height to be 67 inches. His actual height is 68.5 inches. What is the percent error for Jesse’s measurem

Answers

I think if u mines 68.5-67 u will get it

i need help with the last questions I posted

Answers

How do I go to see them? Or is there a way to put them under this comment

Hello I'm Chloe Can you Help me, Thank you :)
y varies proportionally with x. When x = 2, y = 18.
What is the constant of proportionality for this relationship?

Answers

Answer:

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.

Step-by-step explanation:

The area of a square is given by x2, where x is the length of one side. Mary's original garden was in the shape of a square. She has decided to double the area of her garden.

Answers

x4 you square areas.

1_Escribe cómo se lee los siguientes números.


789.406=

973.002=

1003.576=

3.322.010=​

Answers

Answer:

setesientos ochenta y nueve mil cuatrosientos seis

novecintos setenta y Tres mil dos

un millon Tres mil quinientos setenta y seis

tres millones tresientos veintidos mil diez

:)

Zara bought 150 pairs of shoes
for $6000 , She sold 100 of them
for $50 each and the remaining 50 for $55 each - How much profit
did she make altogether

Answers

zara profited 1750 dollars

required profit=$1750

cp=$6000

sp1=100×$50=$5000

sp of remaining sp2={150-100}×$55=50×55=$2750

profit={sp1+sp2}-cp=$5000+$2750-$6000=$1750


Write down two different prime numbers that have a sum of 34.

Answers

Answer:

23+11

Hope that helps  :)

Answer:

31+3

Step-by-step explanation:

2,3,5,7,11,13,17,19,23,27,29,31

31+3=34

f(x) = 3x + 8
fl-1) = ?

Answers

3(-1)+8=5
The answer is x=5

The sum of two numbers is 55. The smaller number is 13 less than the larger number. What are the numbers?

Answers

Answer:

21 and 34.

Step-by-step explanation:

21 is 13 less than 34 and the sum of them is 55.

Which of the following will NOT make a triangle? *
5 inches, 5 inches, 5 inches
4 inches, 4 inches, 3 inches
16 cm, 17cm, 18cm
4 cm, 12 cm, 25 cm

Answers

16mc, 17cm, 18cm. because they are big numbers it will probbably go over

e is 5 more than d
f is 7 less than d

work out e-f

Answers

Answer:

12

Step-by-step explanation:

(5+d)-(d-7)

5--7 = 5+7 = 12

To prove this:

d = 10

e = 5+10 =15

f = 10-7 = 3

15 - 3 =12

Find the supplementary angle of 101.9º.
HELP

Answers

Answer

180

if your feeling nice can you give me a brainlest :)

Answer:

Step-by-step explanation:

It’s so early my mind can’t comprehend basic math, what does this mean.

Answers

Answer:

Explanation: The words "more than" in mathematical terms refer to the process of addition. In this case, we need to have 8 more than x , or x+8 . Hence, the answer, x+8

9q + 5 = 77

What is Q ?

Answers

Q: 8 bc if you multiply 9x8 you will have 72 then you add plus 5 that gives a result of 77.


f(x) = 2(x + 3)^2 – 6
Find the standard form and the y intercept. Please

Answers

Answer:

f(x) = 2x² + 12x + 12; y-intercept is 12

Step-by-step explanation:

f(x) = 2(x + 3)² - 6

This equation is in point slope form. We want to put it in standard form.

According to PEMDAS (parentheses/exponents | multiplication/division | addition/ subtraction), we should solve the exponent first. (the expression in the parentheses is as simplified as possible).

(x + 3)² → (x +3)(x + 3)

To solve this, we need to FOIL (first | outer | inner | last)

F: x²

O: 3x

I: 3x

L: 9

Combine these terms.

x² + 3x + 3x + 9

x² + 6x + 9

Plug this expression back into your original equation.

f(x) = 2(x + 3)² – 6 → f(x) = 2(x² + 6x + 9) - 6

Next, we will distribute the 2 across the parentheses.

f(x) = 2x² + 12x + 18 - 6

Then, combine like terms. (18 & 6)

f(x) = 2x² + 12x + 12

This is your equation in standard form.

Now we want to find the y-intercept. The y-intercept is the y-value when x = 0. Therefore, we need to plug in x = 0 to the equation.

f(x) = 2x² + 12x + 12

f(x) = 2(0)² + 12(0) + 12

Follow PEMDAS again.

[exponents] → f(x) = 2(0) + 12(0) + 12

[multiplication] → f(x) = 0 + 0 + 12

[addition] → f(x) = 12

Your y-intercept is 12.

Hope this helps!

Plsssssssssssssss help

Answers

Answer:

B

Step-by-step explanation:

workout 4 1/7 + 1 1/2

Answers

Answer:

Take 2 1/7 - first multiply the denominator by the whole number to give 14 and now add the numerator to this number to get 15 - the fraction in improper form is 15/7. Do the same process with 1 1/4 - so 4 x 1 = 4 and now 4 + 1 = 5 - the new fraction is 5/4.

Step-by-step explanation:

Sum of given fraction is [tex]5\frac{9}{14}[/tex]

Given fraction;

[tex]4\frac{1}{7} + 1\frac{1}{2}[/tex]

Find:

Sum of given fraction

Computation:

[tex]4\frac{1}{7} + 1\frac{1}{2}\\[/tex]

Simplify given mixed fraction into simple fraction

[tex]\frac{29}{7} + \frac{3}{2}[/tex]

By taking LCM of Denominators

[tex]\frac{58 + 21}{14}[/tex]

[tex]\frac{79}{14}[/tex]

Change simple fraction into mixed fraction

[tex]5\frac{9}{14}[/tex]

Learn more:

https://brainly.com/question/18134643?referrer=searchResults

(I’ll give brainliest) Jack designed a bridge that would be 0.2 miles long and 3/5 of the bridge has been built. How long is the section of the bridge that is finished? Show how you know.

Answers

Answer: 0.12

Step-by-step explanation: Well since 5/5=1 and in this case 3/5 of 0.2 or

3/5 x 0.2 = 0.12miles of the bridge is finished. to check do 0.2*2/5 since 2/5+3/5=5/5 or the total 0.2miles. so 0.2*2/5 =0.8 and 0.8+0.12= 0.2

Which function is f(5) for the function -2x^2+2x-3

A: -107
B: -63
C: -43
D: -37

Answers

Answer:

The answer is C.

Step-by-step explanation:

HELP PLEASE


Select the equivalent expression.

Answers

Answer:c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Express with positive exponent:

(6^2/z^4)^3

Evaluate:

6^6/z^12

the product of 3 and 12

An expression is .

Answers

Answer:

36

Step-by-step explanation:

Answer:

do gk his to him hif to ycj be ljpidtzu

Step-by-step explanation:

Visit us at our website at the time of year again in the United Arab Republic and the best in the United States is the youngest daughter is in no uncertain future of our most important your own badge showing photos in. The time to get aoajjwhsja

Zena wants to paint a rectangle on a wall to serve as the background for a mural. She has enough paint to cover 38.25 square feet of wall space. If the width of the rectangle is 4.5 feet, what is its maximum length? a 33.75 ft b 8.5 ft c 38.25 ft d 4.5 ft

Answers

Answer:

8.5 feet.

Step-by-step explanation:

it is 38.25 / 4.5

Answer:

8.5

Step-by-step explanation:

A man runs 11 miles, turns and walks 9 miles, turns again and runs 6 miles returning to his starting point. What is the area of this triangle formed by his path?​

Answers

Answer:

26.98

Step-by-step explanation:

was looking everywhere for the answer and couldnt find it so i just figured it out, here

Quadrilateral GHIJ is a square. What is the measure of angle FGJ?

Answers

Answer:

its symetrical i think

Step-by-step explanation:

Answer: itis a triangle

Step-by-step explanation:

Can someone please help me with this

Answers

4, 5, and 7 are correct answrts :)

Answer:

I would say 7, because if you think about you would know that your answer is 7

Can someone tell me what 5/6 x 9/10 is and explain it please don’t just give me a answer

Answers

How this is solved is by

Multiply 5/6 with 9/10
This multiplication involving fractions can also be rephrased as "What is 5/6 of 9/10?"

5
6
×
9
10
is
3
4
.

Steps for multiplying fractions

Simply multiply the numerators and denominators separately:
5
6
×
9
10
=
5 × 9
6 × 10
=
45
60
After reducing the fraction, the answer is
3
4
Or 3/4

Carmen can spend at most $10 on lunch

Answers

Answer:

??

I need more context.

;-;

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