Mathematics High School

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

Read more about compound interest at:

https://brainly.com/question/2455673

Related Questions

Besides 33 and 1, what is one factor of 33?

Answers

Answer:

11, 3

Step-by-step explanation:

11x3 equals 33

3x11 equals 33

Answer:

Factors of 33

Factors of 33: 1, 3, 11, and 33.

Prime Factorization of 33: 33 = 3 × 11.

Step-by-step explanation:

Here it is please make sure it’s right it’s a test

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Answer:

B)

Step-by-step explanation:

Find the area of the triangle​

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Answer:

i sont know what those dotted lines are but the area of the whole triangle is 1529.04

Step-by-step explanation:

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Answer:

I think its

Step-by-step explanation:

left second one

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the first answer is c


Choose the correct simplification of the expression (a^2 multiplied by b^5)^3

A^6/b^15

A^5/b^8

A/b^15

A^6/b^11

Answers

Answer:

1

Step-by-step explanation:

the first one because if you take the expression that you want, and expanding it out, you will get the first one.

Answer:

A

Step-by-step explanation:

(a^2)^3 (b^5)^3

The powers multiply when written like this. They don't add.

a^6 b^15

A

SOMEONE PLZ HELP ME
In the following inequality, x ≥ −2, what type of circle would appear on the number line (open or closed circle) and in which direction would the arrow point on the number line(right or left)?

Also, what is a possible solution to x ≥ −2?

Please answer all of the questions in sentence form.

Answers

Answer:

this would be a closed circle all innequalities with a greater to or equal to or less than or equal to they will always be closed if it just says less than or greater than it will be open

Step-by-step explanation:

Answer:Closed Circle To the right

To find the volume of a figure you need to use which of the following formulas?

Answers

Answer:

l x w x h

Step-by-step explanation:

volume is usually length x width x height

A kite was was broken into two triangles. What is the height, h, one of the triangles?

A) 4 ft
B) 8 ft
C) 7 ft
D) 14 ft

Answers

I think the answer is A) 4ft

When you look at the picture the the width is 8 ft divided that by 2 since it is broken into two triangle to get the answer 4

Answer:

4

Step-by-step explanation:

took test on edge :D

help me with this please

Answers

It’s the last one. b < c < a

Help please I need the signs to these equations. Picture down below

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Can see the problem send another picture

bev asked 5 friends how many books they each read last month she put her data in a table and found a total number of books read find the mean and the median of the data set determine which of these values are greater PLS HELP this counts as my final grade!!!!!!

Answers

Answer:

C

Step-by-step explanation:

The mean is 4 because when finding the average which is mean, was 4. The median is 5, so the answer is 5

Answer:

The number C

Step-by-step explanation:

Its in the next picture

A square has a perimeter of 20 inches. What is the distance from one corner of the
square to the opposite corner? Which sketch draws the square and correctly solves
for the distance from one corner to the opposite corner?

Answers

the distance is 5 inches (i think)

question in the picture:

Answers

Answer:

D. 191

Step-by-step explanation:

To calculate this you need to imagine triangle which points are:

boat

Top of lighthouse

Bottom of lighthouse

That triangle has 90 degrees angle at bottom of lighthouse. That means that we can use trigonometry to determine length between boat and bottom of lighthouse

tan(25) = 89/x

x = 89/tan(25)

x = 190.86

after rounding, your final answer would be 191 feet.

3 Pamela has a sack that contains the letter
tiles shown here.
DU A O E
A H E E D
U O A H T
Without replacement, Pamela will randomly
select 2 tiles from the sack one at a time.
What is the probability that she will select
the letter E first and the letter T second?
1
1
1
1
F G
25 28
35
H
J
30


Answers

My bad I don’t know the answer to this question

A cube has a surface area of 216 cm square 2.What is the length of each side of the cube?Label it below

Answers

Answer:

6 cm

Step-by-step explanation:

the cube has six faces, so each is 216/6 = 36 cm^2

so the side is [tex]\sqrt{36}[/tex]

Which statement best describes the association between the measures?

Answers

Answer:

the answer should be c

Step-by-step explanation:

positive association is just asking whether the line is positive or not. Since it's increasing (going from left to right) it's positive. Outliers refer to the two dots that are reallly far away from the rest.

Another volume question and dw it’s not a test its just a assignment that just stress me out

Answers

Answer:

volume = 337.2 ft³

Step-by-step explanation:

volume = base x height = 84.3 x 4 = 337.2 ft³

Which equation represents the model?

Answers

Answer:

aall

Step-by-step explanation:

The answer is: 3 (s+4) = 30

Determine the change to the base of a triangle if the height is tripled and the area is 12 times larger than the original.

I'll give brainliest to first answer. Help please

Answers

Answer:

If the height is tripled and the area is 12 times larger, the base would be 8 times larger.

Step-by-step explanation:

Area of Triangle = 1/2(base × height)

If the area is 1 foot and the height is 1 foot, that means the base is 2 feet, since 1 = 1/2(2 × 1)

Now, if the height is tripled and the area is 12 times larger, then the base would have to be 8 feet, since 12 = 1/2(8 × 3)

Find the area of the given triangles.

Answers

Answer: 1125

Step-by-step explanation:

how do I find the value of a in 30=5a​

Answers

Answer:

a = 30/5 = 6

Step-by-step explanation:

Answer:

a = 6

Step-by-step explanation:

You need to try to get "a" alone.

So, since the equation shows a is being multiplied by 5, you need to divide it by 5 to get "a" alone.

Whatever you do to one side, you must do the same to the other side.

So basically, you divide both sides by 5 to find "a"

if you could plz help it would amazing bc I need to finish my hw before 7:00

Answers

Answer: Prime numbers are numbers that have only 2 factors: 1 and themselves. For example, the first 5 prime numbers are 2, 3, 5, 7, and 11.

A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Equivalently, it is a positive integer that has at least one divisor other than 1 and itself. .

Step-by-step explanation:

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Answers

Answer:

It says that most of the data is greater than the mean

Step-by-step explanation:

Answer:

A large mad means many of the points deviate far from the average

Step-by-step explanation:

(X+4)(x-3) algebra tiles

Answers

Answer:

x^2+x-12

Step-by-step explanation:

x^2-3x+4x-12

x^2+x-12

find the value of x
2x−3=4

Answers

Answer:

3.5

Step-by-step explanation:

2x3.5=7-3=4

Answer:

Exact Form:

x = 7/ 2 , − 1/ 2

Decimal Form:

x = 3.5 , − 0.5

Mixed Number Form:

x = 3  1 /2 , -1/ 2

Step-by-step explanation:

I need help on this question

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Answer:

1313.19 in

Step-by-step explanation:

have a nice dayyy :)

is x²-x divisible by 2?​

Answers

Answer:

Yes

Step-by-step explanation:

There are two cases: Case 1: x is even, so x can be modelled as a generic number 2n, where n is a positive integer. Clearly this product is divisible by two. ... Hence, it is safe to generalise that the term x²-x is divisible by 2 for any positive integer x.

Answer:

Step-by-step explanation:

No, because [tex](x^2-x)/2[/tex] does equal [tex]x^2/2-x/2[/tex]. Honestly, it really depends on the value of x, as it provide whether or not the expression is divisible by 2.

What is the sum of 25 57/100 + 72 9/10 and 362 17/100 + 49 3/10

Answers

Answer:

509.94

Step-by-step explanation:

That's the answer!

trust me! Correct me if I'm wrong

don't worry I solved it so many

times and that's the answer

hope it helps you ❤

follow me for more!

first on is 98.47

second one is 411.47

Hop this helps :T

A number of dimes and quarters are worth $2.55. If the number od dimes and quarters were interchanged the resulting new amount would be $2.70. How many of each kind of coin were there before the interchange?

Answers

Answer:

8 dimes

7 quarters

Step-by-step explanation:

Let number of

Dimes = x ; quarters = y

10x + 25y = 255 ___(1)

25x + 10y = 270 ___(2)

From (1)

10x = 255 - 25y

x = (255 - 25y) / 10

x = 25.5 - 2.5y

Put x = 25.5 - 2.5y in (2)

25(25.5 - 2.5y) + 10y = 270

637.5 - 62.5y + 10y = 270

-52.5y = - 367.5

y = 367.5 / 52.5

y = 7

x = 25.5 - 2.5(7)

x = 25.5 - 17.5

x = 8

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