Lucy invested $19,000 in an account paying an interest rate of 3% compounded annually. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 8 years?

Answers

Answer 1

Answer: 24100

Step-by-step explanation:

Answer 2

The money in the account after 8 years is $24068.631.

Given that, principal=$19000 and the rate of interest=3%.

What is the formula to find the compound interest?

The formula to find the compound interest is CI=A-P.

Where, A=Amount that is [tex]A=P(1+\frac{r}{100} )^{n}[/tex], P=principal.

Now, [tex]A=19000(1+\frac{3}{100} )^{8}[/tex]

=19000[tex](1.03)^{8}[/tex]

=19000×1.26677008139

=$24068.6315464

=$24068.631

Therefore, the money in account is $24068.631.

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Related Questions

y=2x+5
solve for y and x

Answers

Answer:

x = (2.5, 0)     y = (0, 5)

Step-by-step explanation:

5+ 2/3×= -x+20. This is equations with variables in both sides pls help fast I'll mark as brainliest ​

Answers

Answer:

x = 9

Step-by-step explanation:

5+ 2/3x= -x+20.

Add x to each side

5+ 2/3x +x= -x+x+20

5 + 2/3x+3/3x = 20

5 + 5/3x = 20

Subtract 5 from each side

5+5/3x -5 = 20-5

5/3x = 15

Multiply each side by 3/5

3/5 * 5/3x = 15*3/5

x = 9

Answer:

Step-by-step explanation: 5+2/3x= -x+20

-5. -5

2/3x= -x +15

+x +x

1 2/3x/1 2/3 = 15/1 2/3

X=9

10 In 1992, Jason bought a gallon of gas for $1. 19. Yesterday, he bought a gallon of gas for $2.10. What is the percentage increase of the price of a gallon of gas from 1992 to yesterday? If necessary, round to the nearest tenth of a percent 700​

Answers

Answer: 76.5

Step-by-step explanation:

2.10 - 1.19 = 0.91

0.91/1.19 = 0.7647058...

0.76... * 100 = 76.47058...

76.5

Simplify 4/7 / 3 over negative 8

Answers

Answer:

(4/7)÷ (3/-8). Division of fractions is the same as multiplying their reciprocals. So (4/7) x (-8/3). Now multiply the numerators together and denominators together (make sure you only use the negative sign once). (4 x -8) / (7 x 3) = -32/21.

Some plants rely on hummingbirds for pollination. If a deadly disease infected the hummingbird population, what would most likely happen to the plants? a
They would become endangered
They would migrate
They would grow at a slower rate
They would die within hours ​

Answers

Answer:

They would become endangered

Step-by-step explanation:

The temperature dropped a total of 4 ° F over an 8 hour period. What was the hourly temperature drop?​

Answers

Answer:

.5 degrees F per hour.

Step-by-step explanation:

After getting 5 new rocks, George gave half of his rock collection to Susan. If George gave Susan 36 rocks, which equation could be used to determine how many rocks George started with?

Answers

algebra :word problem

Answer:c

Step-by-step explanation:

the line through (1,7) and (-6, 7) in point-slope form​

Answers

What is the question so I can slove
y-7=0•(x-1) hope this helps!

1.266 divided by 14
2.144 divided by 8.

Answers

Answer:

1.) 90.42857142857143

2.) 268

Step-by-step explanation:

(EDITED) Numbers are suppose to be 1266 divided by 14

and 2144 divided by 8

(No decimals)

Hope this helps (:

A half marathon is a distance of 13.1 miles. Your teachers decides to run a half marathon and it takes about 2 hours. What is the average speed of your teacher?

Answers

Answer:

its 7

Step-by-step explanation:

it's in the picture please help

Answers

Answer:

A. 1.88

Step-by-step explanation:

In less fancy terms, a constant of proportionality is essentially a rate of change - or more specifically, a unit rate.

It's the number we multiply our independent variable by to get the y. You can find this by simply dividing the y value by the x value!

Let's choose the first order pair (2, 3.76).

[tex]3.76 \div 2 = 1.88[/tex]

We can check that this table IS constant by doing the same with the other values... we should always get 1.88!

[tex]7.52 \div 4 = 1.88\\9.40 \div 5 = 1.88\\15.04 \div 8 = 1.88[/tex]

This is true for all values - which means our constant is 1.88

Hope I was of assistance! #SpreadTheLove<3

how do i solve equations with fractions in them?

Answers

What type of equations? do you mean something like (3x2/8)-20

if f(x)= x^2 -2 and g(x)=x-3, what is (f o g)(X)?
x^2 +7
x^2 -6x +7
x^2 -3x +7
x^2 -5

Answers

Answer:

Step-by-step explanation:

g(x)= x - 3

f(x - 3)= (x - 3)^2 - 2

           x^2 - 6x + 9 - 2 = x^2 - 6x + 7

b is the answer

. You want to buy some underwear. A
package of 8 costs $3.12. A package of 15
costs $6.15. A package of 20 costs $7.60.
Which package is the best buy?

Answers

Answer:

the second

Step-by-step explanation:

Solve v= f(c+K) for K​

Answers

Answer:

K = v /f − c

Step-by-step explanation:

How many sevenths are there in two whole?

Answers

Answer: 14

Step-by-step explanation:

Amy is 1 year older than Ben. The sum of their ages is greater than 33 and less than 45 Find all possible ages of Ben

Answers

Answer:

17, 18, 19, 20, 21

Step-by-step explanation:

Simplify the expression:
(5+2)(5)

Answers

Answer:

D 25t+10

Step-by-step explanation:

Distribute the 5 by multiplying it with 5t and then multiplying it with 2.

(5 * 5t) + (5 * 2)

25t + 10

Answer: the answer is D 25t + 10 hope this helps you

Step-by-step explanation:

What is one goal you would like to accomplish over the next twenty months? In other words, what is one goal you would like to accomplish by the end of middle school? Explain. (2+ sentences)

Answers

Answer:

One goal that I would like to accomplish over the next twenty months is to become a better person. Academically and personally. As cliché as it sounds, I would love to get better grades. Personally, I would like to get better at my emotional regulation when working on school. I would love to discover better study habits.

What is the slope of the perpendicular lines?

y = - 5/2x - 8

A) y = - 5x
B) y = 5x
C) y = x - 5

Answers

Answer: x=16/5

Step-by-step explanation:

Answer:

16/5

Step-by-step explanation:

The average depth of Lake Michigan is 85 meters below the surface. The deepest point in Lake Michigan is 196 meters lower than this. What is the lowest point in Lake Michigan relative to the surface?

Answers

Answer:

196 meters

Step-by-step explanation:

It would be 196 meters below or the lowest point would be the bottom. If it asks for feet do the conversion rate.

Answer:

-281

Step-by-step explanation:

–85–196 = – 85+(– 196) = –281

6\2*(2+1)=? Show me the steps plz

Answers

Step-by-step explanation:

6/2*(2+1)

6/2*3

18/2

9ans..

6/2*3 = 18/2
18/2 = 9

Which ratio is NOT equivalent to 1:2

10:20
20:30
5:10
4:8

Answers

Answer:

The ratio 20:30 is not equivalent to 1:2.

20:30 is not equivalent

which statement correctly describes the relationship between the graph of f(x) and the graph of g(x)=f(x)+3? read answers above ​

Answers

Answer:

the first one

Step-by-step explanation:

g(x) is f(x) plus 3, so it is being translated up

Which inequality represents this situation?
Players must practice at least 45 minutes a day.

A. t 45
D. t ≥ 45

Answers

Answer:

D.

Step-by-step explanation:

Solve the compound inequality.

2(x – 2) + 7 > –1 and 5 – 4x > 9

Ax –2 and x –2 and x < –1

Answers

Answer:

x>-2 and x<-1

Step-by-step explanation:

just do it

The solution set in which all the the possible values of x which satisfy the given compound inequality is -

x ∈ A , where A = (- ∞, -1)

What is inequality?

In mathematics, inequality refers to a relationship that makes a non-equal comparison between two numbers or other mathematical expressions.

Given is the following compound inequality -

2(x – 2) + 7 > –1

and

5 – 4x > 9

Inequality - 1

2(x – 2) + 7 > –1

2x - 4 + 7 > - 1

2x + 3 > - 1

2x + 3 - 3 > - 1 - 3

2x > -4

x > -2

x < 2

Inequality - 2

5 – 4x > 9

5 - 5 - 4x > 9 - 5

- 4x > 4

-x > 1

x < - 1

Since x < - 1 and x < 2, therefore the inequality → x < -1 represent all the solutions. We can write the solution set as -

x ∈ A , where A = (- ∞, -1)

Therefore, the solution set in which all the the possible values of x which satisfy the given compound inequality is -

x ∈ A , where A = (- ∞, -1)

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Write an equation in point slope form that passes through (-14, - 6) and the
slope is 2/3

Answers

Answer:

y=2/3x - 6

Step-by-step explanation:

use the formula y=mx+b. the m of this equation is equal to the slope and you know that the slope is 2/3. the b of the equation is equal to the y-intercept so, to find b you simply look at the points given. the points are written in (x,y) form so if -14 is x, -6 must be y. remember to KEEP CHANGE CHANGE your signs so that plus sign becomes negative 6. Hope this helps!

Mia says that when you rearrange 3a - p = m to make a the subject of the formula you get:
a = m - p / 3
Mia is wrong. Explain and show her how to do the
question correctly.​

Answers

Answer:

[tex]a =\frac{m+p}{3}[/tex]

Step-by-step explanation:

[tex]3a - p = m[/tex]

→ First plus p to both sides to isolate 3a

[tex]3a = m+p[/tex]

→ Divide both sides by 3 to isolate a

[tex]a =\frac{m+p}{3}[/tex]

Answer:

see explanation

Step-by-step explanation:

Mia is wrong in that she has subtracted p from both sides instead of adding p to both sides.

Given

3a - p = m ( add p to both sides )

3a = m + p ( isolate a by dividing both sides by 3 )

a = [tex]\frac{m+p}{3}[/tex]

Identify the set of numbers that best describes the situation. Explain your choice. The weight of a person in pounds.

Answers

Answer:

Rational number

what is the domain of the function s=-4r^2 if the range is s <_ 0

Answers

Answer:

r≤0

Step-by-step explanation:

if the range is s≤0, (that means the value of s is all negative integers &0) to find the domain we have to replace that some negative integers &0.

we can replace some values of s as the following

s=‒4(0)^2 s=‒4(‒1)^2

=‒4(0) =‒4(1)

=0 =‒4

s=‒4(‒2)^2 s=‒4(‒3)^2

=‒4(4) =‒4(9)

=‒16 =‒36

so we can understand easly that the domain is negative integer&0,it can't be positive because the square of any integer is positive.

therefore the answer is r≤0

i think &i hope it is clear.

The domain is the set of values for which the given function is defined. The domain of the function s=-4r² if the range is s≤0 is r∈R. The correct option is B.

What are the domain and range of a function?The domain is the set of values for which the given function is defined.The range is the set of all values which the given function can output.

For the given function s=-4r², the domain of the function when s≤0 will be all the real numbers. This is because, for any value of r whether it is positive or negative, the value of r² will be positive, but at the same time this quantity is needed to be multiplied by -4.

Thus, the result of -4r² will be always negative, which is less than zero.

Hence, the domain of the function s=-4r² if the range is s ≤0 is r∈R.

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