Mathematics College

you deposit 10000 into a bank account. the account pays 4 annual interest compounded quarterly. find the balance after 5 years.

Answers

Answer 1
Answer: 12,201.90 dollars

You may need to delete the comma if you are entering this result into a computer system.

=====================================================

Work Shown:

P = 10,000 = deposit

r = 0.04 = decimal form of 4% interest rate

n = 4 = we're compounding 4 times a year

t = 5 years

-------------

A = P*(1+r/n)^(n*t) .... compound interest formula

A = 10,000*(1+0.04/4)^(4*5)

A = 12,201.9003994797

A = 12,201.90

After 5 years, there is $12,201.90 in the account.

This is assuming you do not deposit any more money, and it also assumes that you don't take any money out during the 5 year timespan either.

Related Questions

Alice drops a rubber ball from a height of 4 feet. The equation t2=4/16 represents the amount of time, in seconds, it takes for the ball to reach the ground. How long will it take the ball to reach the ground?

A 1/4 second
B 1/2 second
C 2 seconds
D 4 seconds

Answers

Answer:

Letter B

Step-by-step explanation:

Answer:

I belive the answer is B

Step-by-step explanation:

I need help on this I will give brainlist help it will mean a lot this is my last math problem help me!​

Answers

The correct answer will be B

Solve c = 1/2ab² for b.

Answers

Answer:

b²=√(2c/a)

Step-by-step explanation:

c=1/2ab²

1/2ab²=c

ab²=2c

b²=2c/a

b²=√(2c/a)

How many 2/3 go into 4

Answers

Answer:

it goes into 4, 6 times

Step-by-step explanation:

[tex]\frac{2}{3}[/tex]  ÷  [tex]4[/tex]

Hope this helps

Name the slop and one point that is on the line represented by the equation: y + 3 = -1/2(x +7)

Answers

Answer:

The slope is -1/2 and a point on the line is ( -7,-3)

Step-by-step explanation:

y + 3 = -1/2(x +7)

This is in point slope form

y - y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line

y - -3 = -1/2(x - -7)

The slope is -1/2 and a point on the line is ( -7,-3)

3. ​Subtract 1.7 - 0.8 = _____ tenths - _____ tenths = _____ tenths = ______ what are the tenths

Answers

Answer:

17 tenths - 8 tenths=9 tenths

Step-by-step explanation:

1.7 tenths is 17 tenths, we can see that by multiplying 1.7x10 to get 17

dot he sam with 0.8 to get 8 tenths

ti find the answer, subtract the units. 17-8=9

An angle measures 50° less than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

115, 65

Step-by-step explanation:

Let x be an angle measurement

x-50 is the supplement

They add to 180

x + x-50 = 180

2x-50 = 180

Add 50 to each side

2x-50 + 50 =180+50

2x = 230

Divide by 2

2x/2 =230/2

x = 115

The measure are 115 and 115-50=65

Joanna, Dana, and Tracy shared some trail mix. Joanna ate 0.125 pound of trail mix, Dana ate 0.1 pound, and Tracy ate 0.12 pound of trail mix. Which lists the friends in order from least to greatest amount of trail mix eaten? ​

Answers

Answer:

Dana, Tracy, Joanna

Step-by-step explanation:

Dana ate 0.1 pound wich is 0.1000. Tracy ate 0.12 which is 0.12000. Joanna ate 0.125 which is 0.12500

Hope this helped :)

what are the slopes of the two lines?

Answers

Step-by-step explanation:

The slopes of two lines are equal

Please help me solve this, I will give you brainliest.

Answers

Answer:

5h+10=50

Step-by-step explanation:

What is m,y-intercept and the y

Answers

Answer: The slope is 500 and the y intercept is 0.

Step-by-step explanation:

To find the slope we need to find the rise and divide it by the run. The y intercept will be when x is equal to 0. And when x is 0 y is also zero because it cuts through the origin meaning that the y-intercept is  0.

The line rises up by 1000 and run by 2 to the right.

Slope :  1000/2 = 500

The slope is 500.

slope-500 y inc -0.......

Factorise 6x squares minus 14x

Answers

This can be done by find its roots. Knowing its roots, you'll be able to factor your equation, as follows:
First, let's solve this using Bhaskara:
−
14
±
√
14
2
−
4
(
6
)
(
−
12
)
2
⋅
6

−
14
±
22
12
Roots:
x
=
−
3
, which is the same as the factor
x
+
3
=
0

x
=
2
3
, which is the same as the factor
3
x
−
2
=
0
Using these factors, we can rewrite the original function:
6
x
2
+
14
x
−
12
=
2
(
3
x
2
+
7
x
−
6
)
=
2
(
x
+
3
)
(
3
x
−
2
)
ANSWER: Factor
2
x
2
x
out of
6
x
2
6
x
2
.
2
x
(
3
x
)
+
14
x
2
x
(
3
x
)
+
14
x
Factor
2
x
2
x
out of
14
x
14
x
.
2
x
(
3
x
)
+
2
x
(
7
)
2
x
(
3
x
)
+
2
x
(
7
)
Factor
2
x
2
x
out of
2
x
(
3
x
)
+
2
x
(
7
)
2
x
(
3
x
)
+
2
x
(
7
)
.
2
x
(
3
x
+
7
)

help please i need helpp​

Answers

I think it’s 28,800 I’m not sure but I think if I’m wrong sorry

Solve this equation -3-2[4-1]

Answers

Answer:

-15

Step-by-step explanation:

(-3-2)*(4-1)

-5*3=-15

Answer:

-15

Step-by-step explanation:

By rule of pemdas, 4-1 = 3. -3 -2= -5. -5 * 3= -15.

On a field trip, there are 3 adults for every 46 students. Which graph models a relationship with the same unit rate?

Answers

i’m pretty sure it’s H

Determine the slope and y intercept please answer 4y+20=x . 17 points

Answers

Answer:

the slope is m= [tex]\frac{1}{4}[/tex] and the y-intercept is: (0, -5)

Step-by-step explanation:

hope this helps! <3

i need help plz 4z+2=34

Answers

Answer:

It's 8.

Step-by-step explanation:

I have a calculator from my school and I solved it on the calculator.

Simplify the algebraic expression by combining like (or similar) terms.
5x + 5y - 2x + 5y

Answers

Answer:

3x + 10y

Step-by-step explanation:

(5x - 2x) + (5y + 5y)

= 3x + 10y

Answer:

10y + 3x

Step-by-step explanation:

What is the z-score for Paula If she got 1400 on the SAT, the mean was 1100 and the
standard deviation was 275?

Answers

Yea it is 275 with standard subtract
1400-deviation=275

The radius of a circle is 2 inches. What is the circle's area?

Answers

Answer:

A= 12.57 inches squared

Step-by-step explanation:

The formula for the area of a circle is A=πr2. Substitute 2 for r, square it, and multiply it by pi (3.14.) The answer is 12.57 inches squared.

Answer:

[tex]\boxed {\tt a\approx 12.57 \ in^2}[/tex]

Step-by-step explanation:

The area of a circle can be found using the following formula.

[tex]a= \pi r^2[/tex]

The radius of the circle is 2 inches.

[tex]r= 2 \ in[/tex]

Substitute the value into the formula.

[tex]a=\pi ( 2 \ in)^2[/tex]

Evaluate the exponent.

(2 in)²= 2 in * 2 in = 4 in²

[tex]a= \pi(4 \ in^2)[/tex]

Multiply.

[tex]a=12.5663706 \ in^2[/tex]

Round to the nearest hundredth. The 6 in the thousandth place tells us to round the 6 to a 7.

[tex]a\approx12.57 \ in^2[/tex]

The area of the circle is about 12.57 square inches.

Find The Difference.
1) 8.5-7.6=
2) 2.5-17.8=
3)-2.9-(7.5)-
4) 3.5-1.9=

Answers

Answer:

0.9

-15.3

-10.4

1.6

Step-by-step explanation:

Let me know if I messed up I think I went to fast

Answer:

1. 0.9

2. -15.3

3. -10.4

4. 1.6

*HELP*. I need help on this stuff on I-ready... *HELP*

Answers

Answer:

First one

Step-by-step explanation:

50 + 30 can be broken up into (10x5)+(10x3). You can simplify that into 10(5+3) because 10 x 5 =50 and 10x 3 = 30. :)

Answer:

10(5+3)

Step-by-step explanation:

If If you multiply 5 and 3 by 10 you'll get 50 + 30

what is 4/6+2/3.?(these are fractions, you're just adding fractions)

Answers

Answer:

4/3

Step-by-step explanation:

Multiply 2 by 2, and get 4, then we multiply 3 by 2 and get 6.

Since our denominators match, we can add the numerators. 4 + 4 = 8. That gives us the sum, which is 8/6. Then you divide by 2.  So 8/6 / 2 gives you 4/3.

Answer:

4/3 or 1 1/3

Step-by-step explanation:

1. 4/6 + 2/3

2. 4/6 + 4/6          You have to find the LCM (least common multiple) of the two  denominators. In this case it would be 6. You have to multiply 3 by 2 to get 6. What you do to the bottom you also do to the top so you have to also multiply the numerator (2) by 2.

3. 4/3 or 1 1/3       Afterward, you just have to add straight across without changing the denominator and then if you need to simplify you simplify. Without simplifying, you would get 8/6, but, most teachers will mark it as wrong if you don't simplify. You can then change the improper fraction into a mixed number depending on what your teacher wants.

To observe the effect of a categorical IV on a categorical DV (or variables recoded categorically from quantitative data), you would use the:

Answers

Answer:

Dummy Coding

Step-by-step explanation:

Dummy Coding is used to observe the effect of one categorical variable on another.

In this case, the first categorical variable is independent (ICV) while the other is dependent (DCV).

The dummy coding system makes use of two numerical values; 0 representing the absence of an effect and 1 representing the presence of that effect.

Round 143.596 to the nearest hundredth

Answers

Answer:

143.6

Step-by-step explanation: i swear its right

the of a rectangle is 42 square centimeters .it lenngth is 7 centimeters . what is the width of the rectangle

Answers

Answer:

6 centimeters

Step-by-step explanation:

Area = Length * Width

42 = 7 * Width

Width = 42/7

Width = 6 centimeters

plz help hurry ill give brainllest
Use the number line to determine where to plot each rational number.

4.2 is

StartFraction 7 over 8 EndFraction is

Negative StartFraction 9 over 5 EndFraction is

Answers

Answer:

Step-by-step explanation:

Use the number line to determine where to plot each rational number.

4.2 is

✔ between 4 and 5, closer to 4

StartFraction 7 over 8 EndFraction is

✔ between 0 and 1, closer to 1

Negative StartFraction 9 over 5 EndFraction is

✔ between -1 and -2, closer to -2

The number 4.2 is between the 4 and 5, also closer to 4, Agian the number 7/8 between 0 and 1, closer to 1, and -9/5 number between -1 and -2, closer to -2

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have numbers 4.2

The number 4.2 is between the 4 and 5, closer to 4

=7/8 = 0.875

Now 0.875 number between 0 and 1, closer to 1

-9/5 = 1.8

The 1.8 number between -1 and -2, closer to -2

Thus, We can conclude that number 4.2 is between the 4 and 5, closer to 4.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

2. Manny wants to rent a movie. Each movie costs $1 to rent. The function f(x) = X
represents this situation. Explain what x and f(x) represent in this situation."

Answers

x is the amount of movies and f(x) is total cost

-
y=2/3x + 2 and passes through the point (12, 6).
Find an equation perpendicular to the line
A. y=-3/2x + 21
B. y=-3/2x +24
C. y= 2/3x + 14
D. y= 2/3x + 8

Answers

Answer:

B. y = -3/2x + 24

Step-by-step explanation:

The perpendicular slope is -3/2x to find the y-intercept use the point given

Plug in

6 = -3/2(12) + b (b = y-intercept)

6 = -18 + b (add 18 on both sides)

24 = b (so)

y = -3/2x + 24

PLEASE HELP ASAP

can you help me please​

Answers

so x is equal to 40 so the length of M and N is 140 and no is 70 with the total length being 210 hope I helped could I get a brainliest!!
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