Dan deposits $2,500 in an account that earns an interest rate of 4% compounded annually. What is the balance in the account at the end of 10 years? A) $2,800. 45 B) $3,112. 85 C) $3,700. 61 D) $3,935. 58.

Answers

Answer 1
I think the answer is B

Related Questions

An item on sale costs 95% of the original price. If the original price was $20, what is the sale price?

Answers

Hello :D

So we need to work out 5% and subtract it from the total price.
10% = $2 (Divide 20 by 10)
5% = $1 (Divide 10% by 2)
$20 - $1 = $ 19


What is x find it please! Two questions 15 and 18

Answers

Let other 2 angles be d

44 + 2d = 180°

(sum of triangle)

2d = 180 -44

2d = 136

d = 136/2

d = 68

x = 68 + 44 (exterior angle is equal to sum of interior opposite angles)

x = 112°

l

2. part

let the other angles be d

3d = 180° (sum of angles of triangle)

d = 60°

x = 60 + 60

x = 120°

Brody's farm borders a river. He buys 1000 meters of fencing. What dimensions
maximize the area of the farm?

A.) 500 m x 250 m
B.) 750 m x 250 m
C.) 200 m x 300 m
D.) 100 m x 800 m

Answers

Answer:

A. 500 m x 250 m

Step-by-step explanation:

Answer:

the answer is A.

Step-by-step explanation:

I took the test, heheh. sorry, I don't actually have an explanation.

Find the domain of the graphed function.

Answers

Answer:

D. 2 ≤ x ≤ 5

The domain is the x values of the graph.

       Here, we have points with x values at 2 and 5. Since the function stays within these two points, our domain is;

D. 2 ≤ x ≤ 5

We always use the y values as the range of a function on a graph while x values gives us the Domain . So , by looking at the above graph we can say that , [tex]{\pmb{\bf x \in [2,5]}}[/tex] or can further written as [tex]{\bf 2\leq x\leq 5}[/tex] .

Henceforth , Option D) [tex]{\bf 2\leq x\leq 5}[/tex] is correct

The sum of three consecutive numbers is ninety - three
What is the smallest of the three numbers ?

Answers

Answer: 30

Step-by-step explanation:

Let the middle number = x. Then the three consecutive numbers are x - 1, x, and x + 1.

Therefore, x - 1 + x + x + 1 = 93

3x = 93

x = 31.

The smallest of the 3 numbers is x - 1 = 31 - 1 = 30

What is the product?

Answers

Answer:

the last option: 6x^3 -33x^2 +45x - 6

Step-by-step explanation:

Distribute parentheses

= 3x times 2x^2 + 3x (-7x) +3x times 1 -6 times 2x^2 -6 (-7x) -6 times 1

Simplify

3x times 2x^2 +3x (-7x) +3x times 1 -6 times 2x-2 -6 (-7x) -6 times 1

Answer:

6x^3 -33x^2 +45x - 6

If f(x)=4x^(4)+5x^(2)+4, then what is the remainder when f(x) is divided by x+2 ?

Answers

-12

I don't really know how to explain the answer sorry I hope this helps a little.
:)


May someone help me giving up to 15 points

Answers

Answer:

1. 8.2

2. 6*8.2 = 49.2

Use​ place-value blocks or a drawing to divide. Record remainders. 51 / 4

Answers

Answer:

12.75

Step-by-step explanation:

The first number, 51, is called the dividend.

The second number, 4 is called the divisor.

pls pls pls help me i need this fast​

Answers

Answer:

20%

Step-by-step explanation:

(61200-51000)/51000×100

(102000/51000)×100

0.2×100=20%

Hope that helped! :)

Sophie buys milk and vegetables at the grocery store. She spends $3.29 on milk and has a total bill of $15.56. Write and solve an equation to determine how much Sophie spent on the vegetables.

Answers

Answer: $12.27

Step-by-step explanation:

She spent a total of $15.56

Vegetables cost $12.27

Milk cost $3.29

Subtract the total bill by the amount of the milk and you have the total for the vegetables which is $12.27

A decimal that is equal to the fraction 3/5?

Answers

Answer:

0.6

Step-by-step explanation:

i hope this helps! have a wonderful rest of ur day :)

Answer:

0.6

Step-by-step explanation:

What are all the steps to solving a Quadratic Formula? (steps please)

Answers

Compose the quadratic condition in standard shape, ax2 + bx + c = 0. Recognize the values of a, b, c. Write the Quadratic Equation. At that point substitute within the values of a, b, c. Simplify. Check the arrangements.

At Pages Aplenty book store, the more books you buy, the more books you get! With the special deal, a customer gets 2 free books for every 7 purchased books. Larry purchased 21 books. How many free books did Larry get? What proportion could be used to solve this problem?

Answers

Answer: 6

Step-by-step explanation:

2 free books7 purchased books=? free books21 purchased booksCompare the denominators.2 free books7purchased books=? free books21purchased booksTo get from 7 to 21, multiply by 3. Multiply the numerator and denominator by 3 to find the number of free books Larry got.2 free books37 purchased books3=6free books21 purchased booksLarry got 6 free books

Square ABCD is similar to square EFGH. The ratio of AB:EF is 1:4. The area of square EFGH is 14,000ft^2. What is AB?

Answers

Answer: 5sqrt(35)

Step-by-step explanation:

If the ratio of the side lengths is 1:4, since the ratio of the areas is the square of the ratio of the side lengths, the ratio of the areas is 1:16.

This means the area of square ABCD is 14000/16 = 875.

Therefore, AB=sqrt(875)=5sqrt(35).

Simplify (a½ - b½)(a½ + b½)

Answers

Answer:

a - b

Step-by-step explanation:

Assuming you mean:  [tex](a^\frac12-b^\frac12)(a^\frac12+b^\frac12)[/tex]

Apply Difference of Two Squares formula [tex](a-b)(a+b)=a^2-b^2[/tex]:

[tex]\implies (a^\frac12-b^\frac12)(a^\frac12+b^\frac12)=(a^\frac12)^2-(b^\frac12)^2[/tex]

Apply the exponent rule [tex](a^b)^c=a^{bc}[/tex] :

[tex]\implies (a^\frac12)^2-(b^\frac12)^2=a^1-b^1=a-b[/tex]

Of the first 200 toys manufactured by a toy company 21 were defective To the nearest whole number what percent of toys were defective

Answers

Answer:

10.5%

Step-by-step explanation:

.105 x 200 = 21

In a survey, out of all the people surveyed, 160 of them (or 26%) said they wanted a new park built for the city. How many people were surveyed?

Answers

Answer:

41.6 or 42

Step-by-step explanation:

1% of 160 is 1.6. now if you do 1.6 x 26(1% of 160 26 times)= 41.6. or you can round up to 42.

round to 2 SF 0.95205.

Answers

Answer:

0.95

Step-by-step explanation:

The points after the decimal place are SF (significant figures/digits)

Which of the following sets contain only rational numbers?

Answers

Answer:

Option B

Step-by-step explanation:

Option A

One of the numbers is not rational √50 = 5√2, since √2 is irrational

Option B

All numbers are rational

Option C

18π is irrational since π is irrational

Option D

0.1234... is irrational as non-terminating and non-repeating decimal

one number is 8 more than a second number. 4 times the first is 8 less than 6 times the second. find the numbers

Answers

The numbers are 20 and 28.

Step-by-step explanation:

Let the number be X and y,

X = 8 + y

4x = 6y - 8

Now,

4x = 6y - 8

or, 4(8 + y) = 6y - 8

or, 32 + 4y = 6y - 8

or, 32 + 8 = 6y - 4y

or, 2y = 40

so, y = 20

now,

X = y + 8 = 20 + 8 = 28

86%86, percent of senators support a bill.
What fraction of senators support the bill?

Answers

Answer:

The fraction can be written as 43/50

Step-by-step explanation:

Place the Percentage Value at the top over 100.

= 86/100

On reducing the fraction, we get the exact form: 43/50

Answer:

43/50

Step-by-step explanation:

Place the Percentage Value at the top over 100.

= 86/100

On reducing the fraction, we get the exact form: 43/50

Given that there are 3 feet or 36 inches in 1 yard, which of the following amounts is greater than 4 yards? Select all that apply.

A) 15 feet
B) 150 inches
C) 3 yards, 4 feet
D) 3 feet, 15 inches
E) 10 feet, 11 inches

Answers

Answer:

a and b

Step-by-step explanation:

for A just do 3*4

For B just find out what 36*4 is

The list shows the number of songs that five students each downloaded last week.32, 43, 38, 28, 51What is the mean absolute deviation of the numbers in the list

Answers

Answer:

Its 38.4

Step-by-step explanation:

does anyone have the answer for this i don't know if I'm right since I've been absent and missed half the lesson. I need it asap!​

Answers

Answer:

Step-by-step explanation:

x = 20%

y = 3/4 x 64

= 16 x 3

= 48

answer is

Step-by-step explanation:

x = 20%

y = 3/4 x 64

= 16 x 3

= 48

How many solutions does the system have? {y=−2x 2y=x2−3x Enter your answer in the box.

Answers

By solving given equation and then finding discriminant we get that this system of equations have 2 solutions

What is system of equations?

Collection of two or more equations with a same set of unknowns is called system of equations.

Given equation

[tex]$$y=-2 x+2\ \ ...(1)\\\\y=x^{2}-3 x$$\ \ \ ...(2)[/tex]

From equation (1) and (2)

[tex]x^{2}-3 x=-2 x+2\\\\x^{2}-3 x+2 x-2=0\\\\x^{2}-x-2=0[/tex]

This is a quadratic equation

So discriminant

[tex]D=b^2-4ac[/tex]

[tex]D=(-1)^2-4(1)(-2)\\D=1+8\\D=9[/tex]

As D is >0 so we will get two values of x

and two values of y corresponding to values of x

By solving given equation and then finding discriminant we get that this system of equations have 2 solutions

To know more about quadratic equations visit: https://brainly.com/question/2263981

Factor the expression using the two different techniques listed for Parts 1(a) and 1(b).

Factor the given expression using the GCF monomial.

Factor the given expression using the difference of squares.

Answers

Factoring an expression involves rewriting the expression in simpler forms

The factorized expressions are [tex]9a^4b^{10}(4 - 9a^{12}b^{10})[/tex] and [tex](6a^2b^5 - 9a^8b^{10})(6a^2b^5 + 9a^8b^{10})[/tex]

Factor using GCF monomial

The expression is given as:

[tex]36a^4b^{10} - 81a^{16}b^{20}[/tex]

Factor out the common factors

[tex]9a^4b^{10}(4 - 9a^{12}b^{10})[/tex]

Factor using the difference of two squares

The expression is given as:

[tex]36a^4b^{10} - 81a^{16}b^{20}[/tex]

Rewrite as a difference of two squares

[tex](6a^2b^5)^2 - (9a^8b^{10})^2[/tex]

Express as difference of two squares

[tex](6a^2b^5 - 9a^8b^{10})(6a^2b^5 + 9a^8b^{10})[/tex]

Hence, the factorized expressions are [tex]9a^4b^{10}(4 - 9a^{12}b^{10})[/tex] and [tex](6a^2b^5 - 9a^8b^{10})(6a^2b^5 + 9a^8b^{10})[/tex]

Read more about factorized expressions at:

https://brainly.com/question/723406

help both a and b please explain how to do it that would help me out a lot so please help me with it​

Answers

Answer:

F(5, 7)

Step-by-step explanation:

Part A

Find the equation of AB using the coordinates of the endpoints:

A(- 1, - 1), B(2, 3)

Find the slope:

m = (3 - (-1)) / (2 - (-1)) = 4/3

Use one of the points and point-slope equation to get the line:

y - 3 = 4/3(x - 2)y - 3 = 4/3x - 8/3y = 4/3x + 3 - 8/3y = 4/3x + 1/3

Now find the y - coordinate of F when x is 5:

y = 4/3*5 + 1/3y = 20/3 + 1/3y = 21/3y = 7

Part B can't be solved as the picture is unclear


6) An expression is given.
X2+zx-12
The expression can be written as (x+q) (x+r) where q, r, and z are integers.
What are possible integer values or q, r, and z?

Answers

Expressions are mathematical statements without the equation sign

The possible integer values of q, r, and z are 3, -4 and -1

How to determine the values of the integers

The expressions are given as:

x^2 + zx - 12

(x + q)(x + r)

Both expressions are equal.

So, we have:

[tex]x^2 + zx - 12 = (x + q)(x + r)[/tex]

Expand

[tex]x^2 + zx - 12 = x^2 + (q + r)x + rq[/tex]

By comparison, we have:

[tex]q + r = z[/tex]

[tex]rq = -12[/tex]

Assume that q = 3.

So, we have:

[tex]3r = -12[/tex]

Divide by 3

[tex]r = -4[/tex]

Recall that:

[tex]q + r = z[/tex]

So, we have:

[tex]z = 3 -4[/tex]

[tex]z = -1[/tex]

Hence, the possible integer values of q, r, and z are 3, -4 and -1

Read more about expressions at:

https://brainly.com/question/4344214

Please helpp 25 points pls

Answers

Answer:

It is either A or B           But I think/ Believe it is A

Step-by-step explanation:

Have a good day =)

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