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

The difference between 8 and 3
times a number is 29

Answers

Answer:

5.8

Step-by-step explanation:

8 - 3 = 5

29/5 = 5.8

x(8-3)=29

The difference times a number is in parenthesis and if it needs to be multiplied, use x as a variable and make it equal to 29

Find the missing number to make these fractions equal.
3/4 = blank/8

Answers

Answer:

6/8

Step-by-step explanation:

You can multiply the denominator of 4 by two to get 8. But you need to do the same to the numerator, which gives you 6.

Answer:

6/8

Step-by-step explanation:

you multiply both numbers by 2

GRADE 7 MATH URGENT

A class of 25 children is having a pizza party. Each child will eat 3/8 of a pizza. How many pizzas do they need to order?

Answers

A. 8 pizza pies at 10 pc. per pie = 80 available pieces

B. Let X be the number of children. Number of pieces eaten = 5 per child = 5X.

c. 22 pieces are left over.

D. Combine line A and line C. Total number of pieces eaten = 80 original minus 22 left over. Result 58 pieces were eaten by X children: 58 = 5X.

E. Solve the equation 58 = 5X by dividing both sides by 5.

WHOOPS! Is this a trick question? Solving the above results in the answer that there are 11.6 children at the party. Hmmm. That 0.6 child is a question mark for me.

Looks like someone miscounted the pizza slices. Or omitted some pertinent information. But, I’m sure there is a logical answer.

Answer:

10 pizzas

Step-by-step explanation:

To find the answer for this question you need to multiply 3/8 by 25.

3/8 * 25 = 9.375

You can't buy .375 of a pizza so you round it up and get 10.

A family of 5 drove to a concert. They paid $4 one time for parking and all of their tickets were the same price. They paid $99 total. What equation would represent this situation?

Answers

Answer:

5 + (18,8 × 5) = 99

Explaination

one ticket costs: (99$ - 5$) ÷ 5 = $18,8

Charlie buys a pack of 8 thank you cards for 1.20$ using the pickles shown below. How much does he spend on each thank you card?

Answers

15 cents that should be how much it was on my test

Answer:

0.15

Step-by-step explanation:

What is the value of x?

Answers

Answer:

a

Step-by-step explanation:

6^2+8^2=100

sqrt of 100 = 10

Answer:

A. 10

Step-by-step explanation:

find the number that makes the ratio equivalent to 1:8​

Answers

Divide any number by 9. Then then ur answer times 1 then times 8.

Example 9:9=1 1 and 8

36:9=4. 4 and 32

What are the length and width of the frame?

Answers

{2l+2w=62}

1-2w=1

I don't know the answer its not in my syllabus nor I was thought this one

Solve for X: -2(6x+4)=88. Answer fast please

Answers

Answer:

√x+2=2

Step-by-step explanation:

can someone help me the answer is not 8/25​

Answers

Answer:

29/90

Step-by-step explanation:

0.32     x10

3.22     -0.32

2.9       /9

2.9/9    x10/10

29/90

Answer:

29/90

Step-by-step explanation:

here if

f=0.32222....... — 1

10f=3.2222...... —2

now eq2-eq1

we get

9f=2.9

f=2.9/9

f=29/90

Which graph represents -5x+6y> 12​

Answers

Answer:

I think its C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

PLSSS HELP THIS IS DUE IN 10 MINS PLS SHOW WORK TYY

find all missing angles

Answers

Answer:

what are all the angles?

Step-by-step explanation:

y is 107 because verticaly opposite
360-107-107=146
146/2= 73
Z and x are 73 because vertically opposite

Write 14/25 as a decimal. Show work

Answers

Answer:

14.25 decimal para saken

.
Write a rule for the linear function in the table.


x
f(x)
2
5
5
11
8
17
11
23

f(x) = 2x + 1

f(x) = [tex]\frac{1}{2}[/tex] + 1

f(x) = –2x – 1

f(x) = x + 5

Answers

Answer: brainly

someone said f(x) = x+5

Step-by-step explanation:

Rayshawn is filling his water jug with water. After one minute, there are 2 gallons
of water in the jug. After two minutes, there are 5 gallons of water in the jug.
After three minutes, there are 8 gallons of water in the jug. If this pattern
continues, how many gallons of water will be in the jug after five minutes?

Answers

Answer:

There will be 20 gallons in this jug after 5 minutes.

Step-by-step explanation:

You are simply adding 3 to each number.

Starts out with 2

+3=5

+3=8

+3=11

+3=14

+3=17

+3=20

Answer:

After 5 minutes there will be 14 gallons of water.

Step-by-step explanation:

The gallons go up by 3. 2+3= 5+3= 8+3= 11+3= 14

A whole number whose square root is an integer

Answers

Answer:

These are also called "Perfect Squares", and if you're asking what I think you're asking, the first 20 perfect squares are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361 and 400.

Step-by-step explanation:

The possible integer square root are 0,1,2,3 and 4

I'm a little bit confused.
Match the term with the definition.
Triangle A) perpendicular cross section of a cylinder
Rectangle B) shape created when a right triangle is rotated about the y-axis
Circle C) shape created when a rectangle is rotated about the y-axis
Cylinder D) parallel cross section of a sphere
Cone E) perpendicular cross section of a pyramid

Answers

Answer:

Step-by-step explanation:

Perpendicular cross section of a pyramid -------   triangle.  

Imagine you cut pyramid like that. Height of pyramid would be height of your triangle. and sides of pyramid would be sides of triangle.

Perpendicular cross section of a cylinder -------  rectangle

diameter of a base of cylinder would be one side of rectangle and height of cylinder would be other side of rectangle. (pair of sides)

parallel cross section of a sphere ------ circle

when you cut sphere a side would appear with shape of circle.

shape create....    -----    cylinder.  

one side of rectangle would be high of cylinder and other would be radius of it.

last one is cone.  If you place right angle in coordinate beginning (0.0) and one of shorter sides to lie on y axis other would be on x axis. when rotated you get cone.

Which graph represents the solution for the equation 1/2 x - 1 = -x + 2?

Answers

Answer:

b

Step-by-step explanation:

x=2

Answer:

b

Step-by-step explanation:

Find the slope of the line that passes through (0, -5) and (3, -4)

Answers

Answer: I believe it is 2

slope=y2-y1/x2-x1

y2-y1= (0,-3)

x2-x1= (4,5)

m=5-(-3)/4-0

m=2

There are 4 dogs, 6 cats, a rooster and 8 pigs on a farm. What is the ratio of
pigs to all the other animals?
A.8:11
B.11:8
C.8:10
D.10:8

Answers

answer: c. 8:11

explanation: pigs to the other animals, which adds up to 11, so the answer is 8:11

Answer: A, 8:11

Step-by-step explanation:

4 dogs + 6 cats + 1 rooster = 11

8 pigs

ratio for pigs to other animals  : 8:11

8 goes first bc the question was "What is the ratio of

pigs to all the other animals? "

pigs first - other animals second

7. Which equation is graphed below?
A. y = x + 1
B. y = |x|
C. y = [x]+1
D. y =[x]

Answers

Answer:A. I hope this helped you.
Answer A

Set by step explanation: ....

Please help me on this!
Show work please!

Answers

Answer:

Use M A T H W AY

trust me its goated

8 movie tickets cost $24 . At this same rate , how much would 12 movie tickets cost?

Answers

Answer:

$4

Step-by-step explanation:

24/2=12

8/2=4

answer is $4

36$ is your answer, so please thank me.

PLS HELP QUICK !!

Which relationships describe angles 1 and 2?

Select each correct answer.

a. adjacent angles
b. supplementary angles
c. complementary angles
d. vertical angles

Answers

The answer is “B” I’m sorry if this is wrong :(

Chrissie says that the equation of the line shown on the graph is y= 1/2x -5. George says that the equation of the line is y= 1/2x + 5. Which student is correct? Explain.

Answers

Answer:

wheres the graph which is provided by the question?

Step-by-step explanation:

The y-intercept of George's equation is positive. Then George's equation is correct.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Chrissie says that the equation of the line shown on the graph is y = 1/2x -5. George says that the equation of the line is y = 1/2x + 5.

From the graph, the y-intercept of George's equation is positive then George's equation is correct.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

The missing graph is attached below.

Solve the equation

3s-4s=28

Answers

Answer:

-28

Step-by-step explanation:

Answer:

s=[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Which graph represents y = –4x + 4? HURRY PLEASE HELP!!

Answers

y=-4x+4
-4 is the gradient
So it goes downwards
+4 is the y intercept so where it crosses the y axis
Bottom right one

Move words to the blanks and equations to the boxes to prove that vertical angles 21 and 23 are congruent.

Because linear pairs of angles are

and

Because angles that are

to the same angle are

it can be concluded that 21 23.

congruent

m21 +m22 = 180°

supplementary

m22 + m23 = 180°

m2l + m23 = 180°

Answers

Answer:

Because linear pairs of angles are  supplementary. m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°.

Because angles that are  supplementary to the same angle are congruent. It can be concluded that ∠1 ≅ ∠3.

Step-by-step explanation:

The correct question is attached.

Linear pairs angles are angles which are formed from the intersection of two lines and they are adjacent to each other. Linear pair angles are supplementary.

If angles are supplementary to the same angle, then they are congruent.

∠1 and ∠3 are vertical angles

∠1 and ∠2 form linear pairs while ∠2 and ∠3 form linear pairs. Therefore:

m∠1 + m∠2 = 180° (linear pair angles are supplementary)

m∠2 + m∠3 = 180° (linear pair angles are supplementary)

Hence using transitive property of equality:

m∠1 + m∠2 = m∠2 + m∠3

Using subtraction property of equality by subtracting m∠2 from both sides gives:

m∠1 = m∠3

∠1 ≅ ∠3 (vertical angles are congruent)

Because linear pairs of angles are  supplementary. m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°.

Because angles that are  supplementary to the same angle are congruent. It can be concluded that ∠1 ≅ ∠3.

Need both equations solved with explanation.

Answers

Solve for
x
x
by cross multiplying.
Exact Form:
x
=
1
2
x
=
1
2
Decimal Form:
x
=
0.5

Nathan is going to invest in an account paying an interest rate of 1.9% compounded continuously. How much would Nathan need to invest, to the nearest dollar, for the value of the account to reach $280 in 12 years?

Answers

Answer:

223 (rounded to closest one) actual answer would be 222.91479275

Step-by-step explanation:

use formula A=Pe^nt

$280 = Pe^0.019(12)

$280 = Pe^0.228, then evaluate the solution by isolating the variable and dividing each side by the factors which don't contain the variable.

P = 222.91479275

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