You deposit $400 in an account earning 6% interest compounded annually. How much will you have in the account in 10 years?

Answers

Answer 1

Answer:

$716.34

Step-by-step explanation:

The Simple formula for compound interest:

[tex]P(1+\frac{r}{100} )^t[/tex]

P = Principle Amount

r = Rate

t = Time

Substituting the numbers into the formula:

[tex]400(1+\frac{6}{100} )^{10}[/tex]

= 716.339078617

≈ $716.34 (Rounded off to two decimal places)


Related Questions

Solve 4 5/6 + 9 5/9 for the answer

Answers

Answer:

259 /18 = 14  7/18  ≈14.389

Step-by-step explanation:

=14.999 I believe ....

Kate bought a house for 198,000 and then sold it for 230,000 when you’re later. What is the profit as a percentage?

Answers

Answer:

16.16%

Step-by-step explanation:

calculate the percent change

Serious answers only please!Literally 80 points for 5 questions! URGENT!

This is really simple.

Answers

Answer/Step-by-step explanation:

For example, if we are given that:

A is to B, there are 3 ways we can express the ratio, which are:

In ratio notation form, we would write it as A to B

In Colon Form, we would write it as A:B, and

In fraction form, we have A/B.

Apply this in the problem given above.

Thus:

1. 6 teachers to 120 students:

Ratio Notation form = 6 to 120

Colon form = 6:120

Fraction form = 6/120

2. 27 avocadoes to 15 atis:

Ratio Notation form = 27 to 15

Colon form = 27:15

Fraction form = 27/15

3. 18 bananas to 12 papayas:

Ratio Notation form = 18 to 12

Colon form = 18:12

Fraction form = 18/12

4. 24 males to 30 females:

Ratio Notation form = 24 to 30

Colon form = 24:30

Fraction form = 24/30

5. 32 cups to 40 saucers:

Ratio Notation form = 32 to 40

Colon form = 32:40

Fraction form = 32/40

17+21=21+17.is what property

Answers

Answer:

commutative property

Step-by-step explanation:

Determine the values of the variables that will prove the figures similar


Will make brainliest answer!!!! ​

Answers

hi to make the figures similar, the angles will remain the same

set the two given angle degrees together
(4x + 27) = 95
subtract 27 on both sides
4x = 68
divide both sides by 4
x = 17

since A is the only option with x = 17, the answer is A

Demi is working on a presentation about a famous mathematician for her math class. She decides to make
her poster in the shape of a plus sign.
20 in
12 in
12 in
20 in
What is the total area of Demi's poster?

Answers

20in should be the answer

Answer:

1360 would be your answer

Step-by-step explanation:

6/30=3/15 true or false

Answers

Answer: True

Step-by-step explanation: This is because they are equivalent fractions

Hope this helps and have a nice day

Answer: true

Step-by-step explanation:

They r literally the same except 6/30 is 3/15 doubled

Fill in the Blank:
1. A binomial expression that differs only in the second term is called a
_______.

Answers

Answer:

The exponent of the second term (b) starts with 0 (b0 = 1) and then increases by one in each following term until it is equal to the exponent of the binomial (5).

Step-by-step explanation:

Please help me ill give you brainliest I just got it wrong

Answers

I think it is 37.50

Simplify -9p + 3 + 4p + 7p - 4p - 4p and a picture explanation please.

Answers

So...here we can see there are some whole numbers with p, and others without right?

Let’s put the ones with p on the right side and the ones without on the left! ^^

-9p+4p+7p-4p-4p+3

Woah! That’s a lot :\

Okay....do you see the -4p-4p in front of the +3? We can add them together since they have the same sign! It’s similar to +1+1 = +2 but...it’s -4-4 = -8. With the same negatives and positives we can add; but, with negatives and positives we subtract. (Negative&Negative: -1-1 = -2; Positive&Positive: 1+1=2; Negative&Positive: -1+1 =0)
Also! Don’t mind the variable (p). You can ignore it and solve like normal math.

Now that we have solved this...what’s left is...

-9p+4p+7p-8p+3

Now! Let’s solve this from right to left. Don’t mind the variable (p). It’s simple addition and subtraction! ^^

-9p+4p = -5p
-5p+7p = 2p
2p-8p = -6p

Let’s bring it down...

-6p+3

^ Don’t mind the variable (p). It can be solved only with the same variable. For example...10p + 2 would be left alone. It would not be 12p or 12.

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Question Progress
Homework Progress
25728 Marks
55%
If £2000 is placed into a bank account that pays 3% compound interest per year,
how much will be in the account after 2 years?

Answers

Answer:

£2,121.8

Step-by-step explanation:

Given the following;

Principal P = £2000

Rate r = 3%

Time t = 2 years

n = 1 (time of compounding)

Using the compound interest formula;

A = P(1+r)^t

A = 2000(1+0.03)^2

A = 2000(1.03)^2

A = 2000(1.0609)

A = 2,121.8

hence the amount that will be in his account after 2 years is £2,121.8

Braylen spends 5% of his day working on homework.
How many hours a day does he spend on homework?
(There are 24 hours in a day.)

Answers

Answer:

1 hour and 20 minutes..is it right?

Answer:

1.2 hours.

Step-by-step explanation:

5% * 24

(5% = 5/100) * 24

0.05 * 24

= 1.2

---

Hope this helps!

A line with a slope of 5 passes through the point (6, 12). Write the equation for this line.

Answers

Step-by-step explanation:

Given

[tex]slope(m) = 5[/tex]

y-intercept (c) = 12

Now the equation of the line is

y = mx + c

y = 5x + 12

Hope it will help :)❤

What is 4 1/4 - 1 7/8?

Answers

Answer:

[tex]4 \frac{1}{4} - 1 \frac{7}{8} = 2 \frac{3}{8} [/tex]

Is the sequence 4, 8, 12, 16, 20, ... a geometric sequence? If it is a geometric sequence, what is the common ratio?

Answers

Answer and Step-by-step explanation:

This sequence is NOT a geometric sequence.

It is an arithmetic sequence, because the numbers are going up using addition, going up each time by 4.

#teamtrees #PAW (Plant And Water)

If f(x) = 2(3x) + 1, what is the value of f(2)?

Answers

f(2)=2(3*2)+1
f(2)=2(6)+1
=13
answer is 13

The height of a cylinder is decreasing at a constant rate of 1 centimeters per minute, and the volume is decreasing at a rate of 2341 cubic centimeters per minute. At the instant when the height of the cylinder is 1010 centimeters and the volume is 577 cubic centimeters, what is the rate of change of the radius? The volume of a cylinder can be found with the equation V=pi r^2 h. Round your answer to three decimal places.

Answers

Let's organize our given information.

[tex]\frac{dh}{dt}=-1[/tex]

[tex]\frac{dV}{dt}=-2341[/tex]

[tex]\frac{dr}{dt}=?, h=1010, V=577[/tex]

[tex]V=\pi r^2h[/tex]

What I'd like to do is solve for [tex]r[/tex] first, it'll help later.

[tex]577=\pi r^2(1010)[/tex]

[tex]r=\sqrt{\frac{577}{1010\pi}}[/tex]

[tex]r=0.426[/tex]

Now, we can differentiate our formula for the volume of a cylinder to find the rate of change of the radius.

[tex]V=\pi r^2h[/tex]

Use the product rule of differentiation.

[tex]\frac{dV}{dt}=2\pi rh\frac{dr}{dt}+\pi r^2\frac{dh}{dt}[/tex]

Plug in the information we are given.

[tex]-2341=2\pi (0.426)(1010)\frac{dr}{dt}+\pi (0.426)^2(-1)[/tex]

Solve for [tex]\frac{dr}{dt}[/tex].

[tex]-2341=860.52\pi\frac{dr}{dt}+(0.426)^2\pi[/tex]

[tex]-2341.57=860.52\pi\frac{dr}{dt}[/tex]

[tex]\frac{dr}{dt}=-0.866[/tex]

The rate of change of the radius is -0.866 centimeters per minute.

Hope this helps!

A pack of cardinal flowers seed cost $3, and a pack of petunia flower seeds cost $3.50. You buy the same number of packs of each type of flower and spend 58.50. How many packs of each do you buy

Answers

Answer:

I buy 6 packs of each type of seed

Step-by-step explanation:

[tex](x X 4) + x X 2.50= $39\\4x + 2.5x=39\\6.5x=39\\x=39/6.5\\x=6packs[/tex]

help help help
Find the mean, median, mode, and range of the following data set.

105, 106, 101, 101, 106, 111, 111, 116, 106

Mean:

Median:

Mode:

Range:

Answers

Answer:

Mean: 107

Median: 106

Mode: 106

Range: 15

Step-by-step explanation:

brainlies

PLEASE ASAP I NEED HELP ON THIS PROBLEM

Answers

Answer: to be true  I don't understand this

Step-by-step explanation:

A man is four times as old as his daughter.in five years time, the square of his age will exceed the square of his daughter's age by 120 years. find the daughter's age​

Answers

I just worked it out but it got deleted

What three consecutive even integers have a sum of 78

Answers

Answer:

24,26,28

Step-by-step explanation:

78 divided by 3 is 26, which means that 26 is the middle number and the next even number that is lower and bigger are the other two integers. You divide it by 3 because it's 3 consecutive even intergers

If a project is handed in late, you receive
8/9 of your earned points. You received 72 points on your late project. How many points did you lose?

Answers

8/9 = .888 rounds to 88.8% which rounds to 89
89 - 72 = 17 points lost

I need help ASAP will mark you the brainliest

Answers

Answer:

B

Step-by-step explanation:

<DCE = BCA (vertical angles are congruent)

DC corresponds to CB,

DC/CB = 15/5 = 3

EC corresponds to CA,

EC/CA = 12/4 = 3

Thus, two sides in ∆ABC are proportional to two corresponding sides in ∆EDC, and also, the included angle in ∆ABC and ∆EDC are congruent to each other. Therefore, based on the SAS Similarity Theorem, ∆ABC and ∆EDC are similar.

Please help me.......

Answers

14



28/2=14

It just half of 28

1. A train travels at a speed of 48.6 km/h. Express this speed in
(ii) cm/min.
(1) m/s,

Answers

Answer:13.5/m/sin

Cm/min=81000cm/min

Step-by-step explanation:

Zeros of the function of x = -6, and x = -2

Answers

Answer:

Step-by-step explanation:

If x=(-2,-6) are zeros of the function y then

y=(x+2)(x+6) which expands to

y=x^2+8x+12

I need these questions done. I'm lost. And all my points are gone pls help............................................................................

Answers

Answer:

Step-by-step explanation:

(x+1)(x+6)/(x+1) = x + 6

(x-19)(x+2)/(x+2)= x - 19

(x-8)(x-2)/(x-2)= x - 8

Answer:

x+6 x-19 x-8 from top to bottom

Step-by-step explanation:

Hope this helps give brainliest if you can

Match the coordinates with the points on the coordinate plane

Answers

Answer:

Step-by-step explanation:

[tex](-2\frac{1}{2},3\frac{1}{2})[/tex]

Since, x-coordinate is negative and y-coordinate is positive, point will lie in the 2nd quadrant.

Answer is point P.

(-3, 6)

Point L represents the given coordinates.

[tex](-4\frac{1}{2},2)[/tex]

Point P represents the given coordinates.

[tex](2\frac{1}{2},2\frac{1}{2})[/tex]

Since, x and y coordinates are positive, point will lie in the 1st quadrant.

Point Q represents the given coordinates.

[tex](-1\frac{1}{2},-3\frac{1}{2})[/tex]

Since, both x and y coordinates are negative, point will lie in the 3rd coordinate.

Point R represents the given coordinates.

what is the solution to the quantity?
15<4=x
A.x>11
B.x<19
C.x>19
D.x<11

Answers

Answer:

[tex]x < -11[/tex]

Step-by-step explanation:

Given

[tex]15 < 4 - x[/tex]

Required

Solve

[tex]15 < 4 - x[/tex]

Collect Like Terms

[tex]15 - 4 < -x[/tex]

[tex]11 < -x[/tex]

Divide both sides by -1

[tex]11/-1 <-x/-1[/tex]

[tex]-11 > x[/tex]

Swap their positions

[tex]x < -11[/tex]

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