Mathematics College

Complete the table by finding the balance A when P dollars is invested at rate r for t years and compounded n times per year. (Round your answers to the nearest cent.)
P = $2500, r = 3%, t = 10 years
n A
1 $
2 $
4 $
12 $
365 $
Continuous $

Answers

Answer 1

Answer:

I had this exact question on my test yesterday! That's so crazy!

Step-by-step explanation:

Related Questions

X^3-4x^2+3x+2=0 find all the real values of x

Answers

Step-by-step explanation:

The factor of the polynomial is (x-2)

We know that dividing a third degree polynomial by a first degree factor will yield a quadratic of the form ax²+bx+c and possibly a remainder r,except that in this case r=0 since x-2 is a factor

We therefore equate

x³-4x²+3x+2=(x-2)(ax²+bx+c)+r

x³-4x²+3x+2=ax³+bx²+cx-2ax²-2bx-2c+r

We group terms on the RHS

x³-4x²+3x+2=ax³+x²(b-2a)+x(c-2b)-2c+r

By equating the terms on both sides,

ax³=x³,a=1

Next,

b-2a=-4

b-2(1)=-4

b-2=-4

b=-4+2

b=-2

Next,

c-2b=3

c-2(-2)=3

c+4=3

c=-1

Now we piece together our quotient quadratic using a=1,b=-2,c=-1 to obtain x²-2x-1

We now find the zeros of x²-2x-1

which are 1+√2 and 1-√2

The values of x are therefore 2,1+√2, and 1-√2

Note that I used this method in lieu of the famous polynomial division approach to teach someone also ;)

Answer:

2, 1 +/- sqrt2

or 2, 2.414, -0.414 (correct to the nearest thousandth).

Step-by-step explanation:

Let x = 2: then

f(2) = 8 - 16 + 6 + 2 = 0

So x = 2 is one  of the zeros.

So one factor of the function is x-2.

If we divide  the function by  (x - 2) we get:

x-2)X^3-4x^2+3x+2(x^2-2x-1

     x^3- 2x^2

            -2x^2+3x

            -2x^2+4x

                       -x+2

                       -x+2

                        .......

So x^2-2x-1= 0

x = [-(-2 +/- sqrt(4 - 4*-1)] / 2

x = (2 +/- sqrt8) / 2

= 1 +/-sqrt8/2

= 1 +/- sqrt2

Solve: x=4+(4x-4)1/2

Answers

Answer:

x = 10

Step-by-step explanation:

x = 4 + (4x-4) ^ (1/2)

First, we rewrite the expression:

x = 4 + (4x-4) ^ (1/2)

x = 2 (2+ (x-1) ^ (1/2))

x = 4 + 2 (x-1) ^ (1/2)

From here we get a solution for x = 10

To check it we substitute x = 10 in the expression:

10 = 4 + 2 (10-1) ^ (1/2)

10 = 4 + 2 (9) ^ (1/2)

10 = 4 + 2 (3)

10 = 4 + 6

10 = 10

Answer:

The solution is:

x = 10

Answer:

C. x = 10

Step-by-step explanation:

edgen 2020

If it takes Andre 4 minutes to swim five laps how much will it take him to swim 22 laps at the same speed

Answers

Answer:

17.6 minutes

Step-by-step explanation:

[tex]\frac{4}{5} = \frac{x}{22}[/tex]

[tex]5x=22[/tex]

[tex]x=\frac{22}{5}[/tex]

[tex]4(\frac{22}{5} ) = \frac{88}{5} = 17.6[/tex]

Which expression is equivalent to 3m+1-m?
A-2+m-1+m
B-1+m
C-3m-1
D-3m

Answers

Answer:

A

Step-by-step explanation:

Answer:

option  (a) is correct.

2 + m - 1 + m is an equivalent expression  to the given expression  3m+1-m

Step-by-step explanation:

Given expression  3m+1-m

We have to choose an equivalent expression from given options.

Equivalent expression are those expression that looks different but are same.

Like 4+2 = 6  and 3+ 3 = 6

Both have same value but looks differently.

Like terms are term having same variable with same degree.

Consider the given expression  3m+1-m

Simplify by adding like terms,

3m + 1 - m = (3-1) m + 1

Thus, (3-1) m + 1  = 2m + 1

Also 2m + 1 can be written as m + m + 2 - 1

Thus, option  (a) is correct.

(Round to the nearest tenth of a percent.) In 2011, the IRS increased the deductible mileage cost to

55.5 cents from 51 cents.

Answers

Answer:

[tex]\%Change = 8.8\%[/tex]

Step-by-step explanation:

Given

[tex]Initial = 51\ cents[/tex]

[tex]Final = 55.5\ cents[/tex]

Required

Determine the percentage change

Percentage change is calculated as;

[tex]\%Change = \frac{Final - Initial}{Initial} * 100\%[/tex]

[tex]\%Change = \frac{55.5 - 51 }{51 } * 100\%[/tex]

[tex]\%Change = \frac{4.5}{51} * 100\%[/tex]

[tex]\%Change = \frac{4.5* 100\%}{51}[/tex]

[tex]\%Change = \frac{450\%}{51}[/tex]

[tex]\%Change = 8.8\%[/tex]

Hence, the percentage change is approximately 8.8%

9) Solve: a^2+ b^2= c^2 for b

Answers

Answer:

b = ±√(c² - a²)

Step-by-step explanation:

Given equation

a²+ b²= c²

Solving for b:

b² = c² - a²√b² = √(c² - a²)b = ±√(c² - a²)

Answer:

b = ±√(c² - a²)

Step-by-step explanation:

We have to get the value of B.

Step 1: (b squared = c squared - a squared)

b² = c² - a²

Step 2: (cube root of b squared = cube root of c squared and a squared)

√b² = √(c² - a²)

We get the answer as:

b = ±√(c² - a²)

The cost of a gym membership is a onetime joining fee of $140, plus a monthly fee of $40. Joe wrote a $500 check to pay his gym membership for a certain number of months, including the onetime fee. How many months of membership did he pay for?

Answers

The cost of membership at gym A can be written as:
c
a
=
$
10
m
+
$
15
The cost of membership at gym B can be written as:
c
b
=
$
4
m
+
$
40
Where
c
g
y
m
is the cost after
m
months.
To find when the cost is equal, equate the right side of both equations and solve for
m
:
$
10
m
+
$
15
=
$
4
m
+
$
40
Next, subtract
$
15
and
$
4
m
from each side of the equation to isolate the
m
term while keeping the equation balanced:
−
$
4
m
+
$
10
m
+
$
15
−
$
15
=
−
$
4
m
+
$
4
m
+
$
40
−
$
15
(
−
$
4
+
$
10
)
m
+
0
=
0
+
$
25
$
6
m
=
$
25
Now, divide each side of the equation by
$
6
to solve for
m
while keeping the equation balanced:
$
6
m
$
6
=
$
25
$
6
$
6
m
$
6
=
$
25
$
6
m
=
25
6
m
=
4.17
At 4 months the cost of the two gym memberships will be about the same.

A small deck of 5 cards consists of 3 red Jards and 2 green cards.
Draw 7 times with replacement.
Find the probability that a red card is drawn exactly 3 times.

Answers

Answer:

Approximately [tex]0.19[/tex].

Step-by-step explanation:

The cards were drawn with replacement. Therefore, the probability of drawing a red card will be [tex](3 / 5)[/tex] at every one of the seven draws. The probability of not drawing a red card would be [tex](1 - (3/5)) = (2/5)[/tex].

One way to get three red cards out of the seven draws would be [tex]\verb!red!\; \verb!red!\; \verb!red!\; \verb!green!\; \verb!green!\; \verb!green!\; \verb!green![/tex]. That corresponds to a probability of [tex](3/5)^3\, (2/5)^{7-3}[/tex].

However, there are many other ways to get three red cards during the seven draws. For example:

[tex]\verb!red!\; \verb!red!\; \verb!green!\; \verb!red!\; \verb!green!\; \verb!green!\; \verb!green![/tex], [tex]\verb!red!\; \verb!red!\; \verb!green!\; \verb!green!\; \verb!red!\; \verb!green!\; \verb!green![/tex].[tex]\cdots[/tex].[tex]\verb!green!\; \verb!green!\; \verb!green!\; \verb!green!\; \verb!red!\; \verb!red!\; \verb!red![/tex].

There are [tex]\displaystyle {\genfrac{(}{)}{0}{0}{7}{3}} = 35[/tex] such ways in total to choose three draws out of seven draws.

These ways are mutually-exclusive. Each of these ways has a probability of [tex](3/5)^3\, (2/5)^{7-3}[/tex]. The probability for getting a red card on exactly three out of the seven draws would be:

[tex]\displaystyle {\genfrac{(}{)}{0}{0}{7}{3}} \, (3/5)^3\, (1 - (3/5))^{7-3} \approx 0.19[/tex].

A bakery bakes 68 batches of 56 cupcakes each week. How many individual cupcakes do they make each week?

Answers

Answer:

3808

Step-by-step explanation:

f(x) = 2x^2 + 6x – 4
g(x) = 5x^3 – 6x^2-3

Find (f +g)(x).

Answers

Answer:

5x^3 - 4x^2 + 6x - 7

Step-by-step explanation:

Given

f(x) = 2x^2 + 6x – 4 g(x) = 5x^3 – 6x^2-3

To find

(f +g)(x)

Solution

(f +g)(x) = f(x) + g(x) =2x^2 + 6x - 4  + 5x^3 - 6x^2 - 3  =5x^3 - 4x^2 + 6x - 7

HELP ASAP PLEASE :)))
.
.
.
.
.

Answers

Answer:

The first one is not. The second one is. The third one is. The fourth one is not. The fifth one is not. The sixth one is.

Step-by-step explanation:

Answer: First one, no? I'm not sure its been a while

Step-by-step explanation:

From the sum of -265 and -156 subtract the sum of 356 and -250
pls send with showing how to do the sum
Pls ASAP​

Answers

Answer:

315

Step-by-step explanation:

The sum of -265 and -156:

-265 + (-156)

= -265-156

= -421

The sum of 356 and -250:

356 + (-250)

= 356-250

= 106

The sum of both:

-421 + 106

= -315

Hope this helped!

what is special about the y coordinate that goes with the x coordinate of 1 on a proportional graph

Answers

Answer and Step-by-step explanation:

There is a two-dimensional numbers line in a coordinate plane, which has a horizontal line x-axis, and the vertical line is known as the y-axis. These lines intersect each other at zero points, and they are perpendicular. Zero points are known as the origin. The axes divide the plane into  quadrants.

A point in the coordinate plane is of the form of (x, y). This point is named as ordered pair; the first number is from the x coordinate, and the second number from the y coordinate.

To make a graph, we draw a dot, starting from the origin, at the coordinate that communicates to the ordered pair. The y coordinates describe how many steps to move up or down ( positive or negative), and x coordinates tell us to move right or left ( positive or negative).

The completeness property for points describes:

Exactly one point in the plane given  the number of ordered pair

And

Exactly one ordered pair of numbers at a given point in the plane.

A relation is ordered pairs; the x coordinates are known as domain, and the y coordinate is known as the range.

The domain contains the value that corresponds to the independent variable and the range equal to the dependent variable.

Solve 5x -9= 90 step explanation ​

Answers

Answer:

x = 19.8

Step-by-step explanation:

5x - 9 = 90

5x = 90 + 9

5x = 99

x = 19.8

Hope this helped!

Answer:

19.8

Step-by-step explanation:

5x-9=90

Cancel the 9 on both sides, so you get:

5x=90+9

5x=99

x= 19.8

What is the difference between 1.37 and 0.52

Answers

Answer:

0.85

Step-by-step explanation:

1.37-0.52=0.85

what is the quotient of 8,187 divided by 24

Answers

Answer:

341.125

Step-by-step explanation:

Hope this helped, Have a Great Day!!

Length of a rectangle is 8 inches and width of it is 3 inches. What is the area?

Answers

The answer is 24 inches

Answer:

24

Step-by-step explanation:

8 times 3=24

Esme read 12 pages from her science book last night and it took her 18 minutes how long would it take her to read tonight's homework which is 22 pages long ​

Answers

Answer:

33 minutes

Step-by-step explanation:

It would tale her 1.5 min for each page

Simplify: –3|–2| + 4|–5

Answers

Answer:

14

Step-by-step explanation:

–3|–2| + 4|–5|

-3 · 2 + 4 · 5

-6 + 20

14

Hi! can someone simplify this, thank youu

Answers

k-6:5 + 4-k:6= 6k-36+20-5k:30 =

k-16:30

Here see the attachment

PLEASE HELP I WILL MARK YOU BRAINLIEST. FIND THE AREA

Answers

Answer:

The family will need to purchase 187 square ft carpeting.

Step-by-step explanation:

Area of Rectangles

Given a rectangle with width W and length H, the area is calculated as follows:

A = W * H

The new carpet of the family has the shape provided in the figure. We have completed the shape to add some missing dimensions by adding and subtracting the given lengths. Please refer to the attached image.

The total area of the carpet is the sum of the areas of three rectangles.

The rectangle at the bottom has dimensions 3 ft x 20 ft, thus its area is:

A1 = 3 ft * 20 ft = 60 square ft

The rectangle at the middle has dimensions 3 ft x 17 ft, thus its area is:

A2 = 3 ft * 17 ft = 51 square ft

The rectangle at the top has dimensions 4 ft x 19 ft, thus its area is:

A3 = 4 ft * 19 ft = 76 square ft

The total area of the carpet is:

A = 60 square ft + 51 square ft + 76 square ft

A = 187 square ft

The family will need to purchase 187 square ft carpeting.

Jane has 6/7 of a yard of ribbon. She uses 3/4 of a yard to trim an ornament. how much ribbon is left?

Answers

Answer:

2/28

Step-by-step explanation:

El 5% de los focos producidos por una fabrica son defectuosos. Al extraer una muestra de 6 focos. ¿Cual es la probabilidad de que menos de 3 focos sean defectuosos?​

Answers

Answer:

3/10 no estoy segura pero creo que es esto

how would you round 1.2983 to the thousandth​

Answers

Answer:

1.298

Step-by-step explanation:

After the decimal the numbers go

tenths Hundredths and then thousands

Then take the number that's after thousands and raise the thousands number up is the numbers after is above 5 keep it the same if its 4 or under.

Using a Table of Values to Find a Solution to a System

a) Complete the table below to solve the equation 2.5x-10.5=64(0.5)x.

x f(x)=2.5x-10.5 g(x)=64(0.5)x
2
3
4
5
6




b) Give the solution for the equation:

Answers

Answer:

This problem wants you to substitute the answers from the table into the equation to find the solution, which is when the input gives the same output basically.

f(x) = 2.5x -10.5                          g(x) = 64(0.5)^x

when x= 2...                                when x= 2...

f(2) = 2.5(2) - 10.5                        g(2) = 64(0.5)^2

f(2) = 5 - 10.5 = -5.5                     g(2) = 64(.25)= 16

when x= 3...                                 when x= 3...

f(3) = 2.5(3) - 10.5                         g(3) = 64(0.5)^3

f(3) = 7.5 - 10.5 = -3                      g(3) = 64(0.125) =8

when x= 4...                               when x = 4...

f(4) = 2.5(4) - 10.5                       g(4) = 64(0.5)^4

f(4) = 10 - 10.5 = -0.5                  g(4) = 64(0.0625) = 4

when x= 5...                               when x= 5...

f(5) = 2.5(5) - 10.5                      g(5) = 64(0.5)^5

f(5) = 12.5 - 10.5 = 2                   g(5) = 64(0.03125) = 2

when x= 6...                               when x = 6...

f(6) = 2.5(6) - 10.5                       g(6) = 64(0.5)^6

f(6) = 15 - 10.5 = 4.5                   g(6) = 64(0.015625) = 1

4. Zack went into a frame it yourself shop. He wanted a frame 3-in longer than it was wide. The frame he chose has an area of 18-in squared. What are the dimensions of the length and width of the frame Zach purchased? *

Answers

Answer:

Width = 3 inch and length = 6 inch

Step-by-step explanation:

The width of a frame = x

A frame 3-in longer than it was wide. Length = 3+x

Area of the frame = 18 sq inch

We need to find the the dimensions of the length and width of the frame Zach purchased,

Area of a rectangle is given by : A = lb

[tex]x(3+x)=18\\\\x^2+3x-18=0\\\\x^2+6x-3x-18=0\\\\x(x+6)-3(x+6)=0\\\\x=-6,3[/tex]

Neglecting negative value

Width = 3 inch

Length = 3 + 3 = 6 inch

Hence, the dimensions of the length and width of the frame is 6 inch and 3 inch respectively.

George buys a computer. He pays a deposit of £200 and six monthly instalments of £55.
How much George pay for his computer in total?

Answers

Answer:

£530

Step-by-step explanation:

Answer:

£530

I hope this helps!

Can someone help me with these three math problems pleaseeeeeeeeeee

Answers

1. 75
2. 63
3. i have no clue

all triangles should add up to 180, so if you add the numbers up that you have you take ur answer and subtract 180 to get what the missing angle equals! sorry hope that helps a little lol

Answer:

75 should be the answer

Iris wants to buy two necklaces, one for her sister and one for herself. The necklace for her sister costs $42.00, and the necklace for herself costs $28.00. The sales tax on the purchases is 8%. Find the total cost of Iris’s purchases, including sales tax. If necessary, round your answer to the nearest cent.

Answers

Answer:

$75.60

Step-by-step explanation:

First, find the total cost without tax:

42 + 28

= 70

Then, to find the price with sales tax, multiply this by 1.08:

70(1.08)

= 75.6

So, the total cost of her purchases was $75.60

2. The length of a football field, including the two end zones, is
How long is the football field in feet?
Write the conversion factors that relate yards and feet.
120 yd
360 ft
120 ft
or
40 yd
3. What are the desired units?
What are the original units?
Circle the conversion factor above that has the desired units in the numerator
and the original units in the denominator.

Answers

Answer:360 ft and question 3 isn’t fully listed

Step-by-step explanation:it’s 100 yards and 10 in each end zone so 120x3=360

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