If Debbie starts a retirement account with $100 that has an annual rate of return of 8%, how long (in years) would it take for her to
have at least $100,000 if interest is compounded continuously?
A) 1 year
B) 8 years
C) 87 years
D) 90 years

Answers

Answer 1

Answer:

C.) 87 years

Step-by-step explanation:

I've taken the test! Hope this helps! ;)

Answer 2

The number of years for her to have at least $100,000 if interest is compounded continuously is 90

How to determine the number of years?

The given parameters are:

Amount, A = 100,000

Principal, P = 100

Rate, r = 8%

Amount is calculated using:

A = P * (1 + r)^t

So, we have:

100000 = 100 * (1 + 8%)^t

Divide by 100

1000 = (1 + 8%)^t

Evaluate the sum

1000 = 1.08^t

Take the logarithm of both sides

log(1000) = log(1.08)^t

Apply the law of logarithm

log(1000) = tlog(1.08)

Solve for t

t = log(1000)/log(1.08)

Divide

t = 89.7

Approximate

t = 90

Hence, the number of years is 90

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Related Questions


Which choice correctly shows the line
y = 2x+3?

Answers

It’s c! Hope this helps

Answer:

The answer would be A.

Step-by-step explanation:

Slope: 2 (positive)

Y-intercept:3

Write an inequality that represents this situation below. Be sure to define your variable in words.

Jeffery needs to save more than $500 to attend camp over the summer.

Answers

Answer: m>500

Step-by-step explanation:

m= money

And he is going to need more than 500 so m must be greater than 500 it cant be greater than or equal too.

A store has a pair of shoes worth $120. Then, there is a 200% increase in the price of the shoes. What is the new price of the shoes? A. $320

B. $360

C. $180

D. $240​

Answers

B $360, because u times 120 by 2 which equals 240. then add 240 and 120 you get 360
It’s b have nice day!

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

A the distribution will be skewed to the right
Answer: A







Ndndnjcxbcn

the surface area of the rectangular prism is given by formula S=2 (ab+bh+ah) find the value of h when a = 10, b=6 and s=440

Answers

Answer:

10

Step-by-step explanation:

440=2(60+6x+10x)

220=60+16x

160=16x

x=10

h=10

The required value of h is 10 which is determined by substituting the values of a = 10, b = 6, and s = 440 in the formula the surface area of the prism of S = 2 (ab+bh+ah).

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations.

We have been given data as:

a = 10, b = 6 and s = 440

The surface area of the rectangular prism is given by the formula

⇒ S = 2(ab + bh + ah)

Substitute the values of a = 10, b = 6 and s = 440 in the above formula

⇒ 440 = 2(60 + 6h + 10h)

⇒ 220 = 60 + 16h

⇒ 220 - 60 = 16h

⇒ 160 = 16h

⇒ 16h = 160

⇒ h = 160/16

⇒ h = 10

Therefore, the required value of h is 10.

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To meet your goal for selling raffle tickets, you must meet the inequality t ≥ 15. If you sold 16 tickets, did you reach your goal?

Yes or No

Answers

Yes because 16 is greater than 15 and it has to be greater or equal to 15

can someone help me with this

Answers

Answer:

29

Step-by-step explanation:

Answer:

Step-by-step explanation:

N is the incenter of △ABC because it is the point of concurrency of the three angle bisectors. So, by the Incenter Theorem, ND = NE = NF.

im sorry if wrong

plz mark me brainly

46 in = ___ft ___in PLEASE HELP!!

Answers

Answer:

Step-by-step explanation:

46 in = 3.83333foot inches is 552 PLEASE HELP!!

14pt = 7 qt but i need the work

The US liquid quart is a unit of fluid volume equal to one fourth of a gallon, two pints, or four cups. The liquid quart should not be confused with the dry quart (US) or the imperial quart, which are different units.

The quart is a US customary unit of volume. Quarts can be abbreviated as qt; for example, 1 quart can be written as 1 qt.

Convert: :
23.7 cm =
mm

Answers

Answer:

237

Step-by-step explanation:

multiply the length value by 10

Answer:

237 mm

Step-by-step explanation:

Formula  

multiply the length value by 10

t-shirt costs $12 A pair of shorts costs $25 Amira plans on spending no more than $160 and wants to buy more than 5 items.

Answers

Answer:

5 shirts and 4 pairs of shorts

Step-by-step explanation:

160-1 set (12+25=37)=123

123-1 set=86

86-37=49

49-37=12

12-1 t-shirt=0

how much is a a $479.00 purchase with 7.5% sales tax

Answers

Answer:

$514.93

Step-by-step explanation:

Before Tax Price: $479.00

Sale Tax: 7.50% or $35.93

After Tax Price: $514.93

Unit 2 Test
Which postulate can be used to prove that the following triangles are congruent?

A) ASA
B sss
C SAS
DAAS

Answers

The answer is: A) ASA
I think it A ASA ......

What is the rang of the relation?

A: {-3, 3}
B: {-3, -2, 0, 3}
C: {-4, -3, -2, 0, 2, 3}
D: {-4, -2, 2, 3}

Answers

This answer is C. i just put the numbers together

Answer:

B.

Step-by-step explanation:

{-3, -2, 0, 3}   - the set of y-values.


4. What is the half-life of the radioactive isotope with amount A, whose rate of decay in t hours is shown in the graph below?
(0,40)
(20,15)

Answers

Answer:

15, 25

Step-by-step explanation:

Answer:The half life is the time taken for the amount of a substance to become half of its original value. If we take the initial value to be 30 on the y-axis, the half of 30 is 15. We check the time at which the substance has reduced to 15 atoms and this is about 40 seconds. The answer is C.

Step-by-step explanation:

Side YQ and side XP are altitudes to the congruent sides of isosceles triangle WXY. Keisha is going to prove side YQ ≅ side XP by showing they are congruent parts of the congruent triangles QXY and PYX.

Answers

By the triangle congruence we can use the SSA method to prove the base angles are congruent.

What do you mean by congruent triangles?

If two or more triangles are congruent, it depends on how big their sides and angles are. The three sides and three angles of a triangle determine its size and shape, accordingly. Two triangles are said to be congruent if the pairings of respective sides and corresponding angles are equal.

These are exactly the same size and shape. There are several different congruence conditions that triangles might meet.

In the figure given,

It is necessary to demonstrate the congruence of the triangles PYX and QXY.

Both triangles have the same XY base.

PX must equal QY because the lines PX and QY are perpendicular on congruent sides.

Angles PYX and QXY are equal since the axiom "Angles opposed to equal sides are equal" states that they are.

As a result, it can be shown that the two triangles PYX and QXY have two sides and an equal angle.

As a result, using SSA criteria, the two triangles will be congruent.

Hence, option C is the best one.

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Grandma Sands must've seen The Wizard of Oz a million times..." is an example of... *

hyperbole
metaphor
personification
alliteration???

Answers

Answer:

Hyperbole

Step-by-step explanation:

It is hyperbole because it is exaggerating what Grandma said. Grandma didn't really say it a million times, so it is a hyperbole.

hyperbole

it has to be 20 letters long sojjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj

Rewrite the equation in y = mx + b form. Show each step!
y - 4 = -3(x - 3)
pls help

Answers

Answer:

y = -3x + 13

Step-by-step explanation:

y - 4 = -3(x - 3)

y - 4 = -3x + 9

y = -3x + 9 + 4

y = -3x + 13

The grades on a student's five tests are 0% ,70% ,75% ,73% and 80% what is the student's average test grades ?

Answers

Answer:

59.6%

Step-by-step explanation:

You add all of the number up and divide by 5

Answer:

59.6 which is a D - this is still a passing grade, (between 59% and 69%)

change 10 inches per second to miles per second

Answers

Answer:

I don’t even know, what was the question?

Step-by-step explanation:

0.000157828283 miles per second

PLEASEEEE HELP ME ASP

Answers

The last one! The angles of a triangle add up to 180 ;)

the price of a console was reduced from 512 to 384 by what percent was the price reduced

Answers

The answer is 896 Hope this helped.
the price was reduced by 75% 512 divided by 384 = 0.75 0.75 x 100 = 75

rotate the given triangle 180° counterclockwise about the origin. Help!!!!​

Answers

Answer: (read vertically) [0,0/3,-1/-5,-2]

Step-by-step explanation:

[-1, 0] times [0, -3, 5]

[0, -1] [0, 1, 2]

hopefully this makes sense.

The rotated triangle by 180° counterclockwise about the origin is [tex]\left[\begin{array}{ccc}0&3&-5\\0&-1&-2\end{array}\right][/tex]

How to rotate the triangle?

The coordinates of the triangle are given as:

[tex]\left[\begin{array}{ccc}0&-3&5\\0&1&2\end{array}\right][/tex]

The rotation is given as:

180° counterclockwise about the origin.

The rule of 180° counterclockwise about the origin is:

(x,y) ⇒ (-x,-y)

Using the above rule, we have:

[tex]\left[\begin{array}{ccc}0&3&-5\\0&-1&-2\end{array}\right][/tex]

Hence, the rotated triangle is [tex]\left[\begin{array}{ccc}0&3&-5\\0&-1&-2\end{array}\right][/tex]

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How many elements does this matrix have?

Answers

Answer:

i think 6 because it has 3 rows and 2 columns that's 3 rows with 2 elements and that equals up to 6 hope that help

PLS HELP Choose the solution to this inequality. 43<−83y y < −12 y > 12 y < 43 y > 4

Answers

Given:

The inequality is:

[tex]\dfrac{4}{3}<-\dfrac{8}{3}y[/tex]

To find:

The solution of the given inequality.

Solution:

We have,

[tex]\dfrac{4}{3}<-\dfrac{8}{3}y[/tex]

Multiply both sides by 3.

[tex]4<-8y[/tex]

Divide both sides by -8 and change the sign of inequality.

[tex]\dfrac{4}{-8}>\dfrac{-8y}{-8}[/tex]

[tex]-\dfrac{1}{2}>y[/tex]

It can be written as:

[tex]y<-\dfrac{1}{2}[/tex]

Therefore, the correct option is A.


I need help what’s the answer ?

Answers

Answer:

x = 30

Step-by-step explanation:

Using the sine ratio in the right triangle

sinx = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{2.5}{5}[/tex] = [tex]\frac{1}{2}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{1}{2}[/tex] ) = 30

Genevieve is 3 years older than twice her brother's age. Genevieve is 21 years old. Write an equation to find her brother's age.​

Answers

Her brother is 9.

Because she is 3 years older than half his age, subtract 3 - 21. This gives 18. Then divide 18 / 2. This gives 9.

The equation that represents Genevieve's brother is y = 18/2.

What is the equation that represents Genevieve's brother age?

The equation that represents Genevieve's age:

21 = 3 + 2Y

Where Y represents Genevieve's brother age

In order to determine the required equation, make y the subject of the formula

21 - 3 = 2y

18 = 2y

y = 18/2

To learn more about linear functions, please check: https://brainly.com/question/26434260

Number 1 please if you can explain work

Answers

Answer:

Triangle DEF is similar the XYZ

Step-by-step explanation:

Because if you divide 10 by 18, you get 0.555555...

If you divide 14 by 25.2, you get 0.5555555.....

4
Please! HELP! very easy! will give brainliest!

Answers

I might be wrong but I think it's 43

Answer:

Tom will need 42 bags of seed.

Step-by-step explanation:

The area of Tom's yard is 630 square feet.

Divide the area (630) by the amount of area that each bag of seed covers (15)

630 divided by 15 is 42. So, Tom will need to use 42 bags of seed to cover his whole yard.

Find the correct value of 2/3 plus 1/2 plus 5/12

Answers

Answer:

2/3 + 1/2 = 1.16666666667

therefore the answer is 1.58333333333

Mike went to a football game with his family. They bought 5 boxes of popcorn and 3 programs, and spent $41. Sean's family went to the same game, bought 3 boxes of popcorn and 2 programs, and spent $26. How much does each program cost at the game?

Answers

Answer:

$7

Step-by-step explanation:

Let the price of a box of popcorn = b and the price of a program = p

we can make 2 equations:

5b+3p = 41 and 3b+2p=26

We can use the subtraction method be able to eliminate one of the variables and isolate the other one - to do it I will equalize the 'b' in both equations by multiplying by 5 and 3 respectively

5(3b+2p=26)

-3(5b+3p = 41)

15b+10p=130

-(15b+9p=123)

p=7 (therefore the answer is 7$)

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