When Angela turned 10, her parents deposited $5,000 in a college fund for her. When Angela enrolled in college at 18, her account had $6,800 to help pay her expenses. If the account paid simple interest, what was the annual interest rate?

Answer: [tex]\frac{1}{x^{4} }[/tex]

Substitute x = 3 - 2 cos(θ) and dx = 2 sin(θ) dθ (where "sin" = "sen"). So we have

∫ sin(θ) / (3 - 2 cos(θ)) dθ = 1/2 ∫ 1/x dx

= 1/2 ln|x| + C

= 1/2 ln(3 - 2 cos(θ)) + C

(We can remove the absolute value because -1 ≤ cos(θ) ≤ 1, so 1 ≤ 3 - 2 cos(θ) ≤ 5, and |x| = x when x ≥ 0.)

Answer:

n= -7

Step-by-step explanation:

subtract 3 from both sides,-6n=42,divide both sides by -6

Answer:

[tex]\boxed{n = - 7}[/tex]

Step-by-step explanation:

[tex] \boxed{you \: solve \: by \: making \to n :} \\ the \: subjet \: of \: the \: equation \to \: \\ it \: means \: making \: \to \: n : to \: stand \: on \: its \: own \to \\ - 6n + 3 = 45 \\ - 6n = 45 - 3 \\ - 6 n= 42 \\ \frac{ - 6}{ - 6} n = - \frac{42}{6} \\ \boxed{n = - 7}[/tex]

Answer:

-28

Step-by-step explanation:

-7 x 4 = -28 because 7 x 4 =28 then add negative so -28

Hope this helped ;) Have a good day :D

Answer:

79.5

Step-by-step explanation:

Answer:

39,000

Step-by-step explanation:

Answer:

40,000

Step-by-step explanation:

Answer:

2/6

Step-by-step explanation:

There are 2 out of 3 on one half shaded so it is 2/6

Answer:

independent

Step-by-step explanation:

Answer:

you have a 1 in 4 chance or 25% chance

Step-by-step explanation:

there is 20 balls and 5 are black, right? And if you do 5/20 it eachs 1/4 or 0.25.

Answer:

-$11.59

Step-by-step explanation:

Bank account balance = -$58.44

Deposit $46.85.

New balance = Deposit + Bank account balance

New balance = $46.85 + -$58.44

New balance = $46.85 - $58.44

New balance = -$11.59

Answer:

I tried my best to explain it, hope it helps!

Step-by-step explanation:

Answer:

The village market

Step-by-step explanation:

Price per can at the village market

= 2.30÷5

= $0.46

Price per can at Best Food

=5.10÷10

= $0.51

Answer:

Village market

Step-by-step explanation:

Find the unit rate at village market and Best food and compare.

Village market:

Rate per can  = 2.30 ÷ 5

                      = $ 0.46

Best food:

Rate per can = 5.10 ÷ 10

                     = 0.51

0.46 < 0.51

Buying can from village market is best buy as that is less priced

Answer:

5 inches

Step-by-step explanation:

formula for cube volume is l^3

so 5^3 is equal to

5 x 5 x 5

which is

25 x 5

equals

125

Hope this helps!

Answer:

5 inches

Step-by-step explanation:

V=a^3

5^3 is 125 so the answer is 5

Answer: You have to save $128 more dollars.

Step-by-step explanation: The iPad costs $353 and you already have $225, so to find the answer you have you subtract what you already have from how much it costs. So 353 - 225 = 128. You need to save up $128 more dollars to get the iPad. (I think this is correct, I tried)

Answer:

15.6 meters in a minute

Step-by-step explanation:

Here's why:

1 centimeter= 0.01 meter

So, if you have 26 cm, that equals 0.26 meters.

Now, we know that there are 60 seconds in a minute.

So, we have to do 0.26 times 60 which equals 15.6 meters.

I hope this helps you! :)

Answer:

could you put a picture of the work so i can anwser  this question

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

im not sure if its correct but area is the area around the trapezoid and i added them

Answer:

She sent 120 emails this month.

Step-by-step explanation:

Multiply 200 by .60 (60 percent) and it will give you 120.

I used 60 instead of 40 because the problem said 40 percent less, NOT 40 percent of 200.

Answer:

the answer is 1,674

Step-by-step explanation:

because if 3hours in 558 miles you multiply the 3hours in 558miles and the answer is 1,674

Answer:

Here we go in photo form

Answer: 3,635 Views.

Step-by-step explanation:

b+c=10 becomes b=10-c. c+a=12 becomes c=12-a ... an a: c+a =12 & a+b=8. Subtracting the latter from the former eliminates the “a”s, leaving c-b=4. ... What are the values of A, B, C, D, A+B=8, B-D=5, A*C=21, and C*D=9?

Answer:

which answer best describes this picture

Answer:-0.6

Step-by-step explanation:

thank me later lol

Answer:

[tex]\frac{1}{15}[/tex]

Step-by-step explanation:

as said in the question that the triangle has three equal sides. i.e. this is an equilateral triangle. So,

let us consider one side of the triangle to be x . and 3x( x+x+x) should be equal to 1/5

[tex]x+x+x = \frac{1}{5}\\3x=\frac{1}{5}\\x = \frac{1}{5} / 3\\x = \frac{1}{5} * \frac{1}{3}\\x = \frac{1}{15}[/tex]

Answer:

4c+6≤−10

4c+6−6≤−10−6 ... subtract 6

4c≤−16...divide both sides by 4

final: c≤−4

5c-3>2

5c-3>2...add 3

5c>5...divide by 5

c>1

Answer:

2×2×2×7

Step-by-step explanation:

if you multply 2×2 it is 4×2=8×7=56

backward is easy 7×2= 14×2= 28×2=56

2 × 2 × 2 × 7 is the prime factorization of the number 56.

Given that,
To determine the number whose prime factorization is given as 2 x 2 x 2 x 7.

Factors can be defined by splitting the value into multipliable values.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Prime factorization of the number are a multiplicable number that consists of the prime numbers only,
According to the question,
2 x 2 x 2 x 7  = 56

Thus,  2 × 2 × 2 × 7 is the prime factorization of the number 56.

Learn more about simplification here: https://brainly.com/question/12501526

#SPJ3

Answer:

mid point=(-1/2,-5)

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

60/4=15

1 cup of flour=15 cookies

2 cups of flour= 30 cookies

3 cups of flour= 45 cookies

4 cups of flour= 60 cookies

5 cups of flour= 75 cookies

6 cups of flour= 90 cookies

Answer: c

Step-by-step explanation:

3/4x = 21/2

Answer: a

Step-by-step explanation:

Answer:

-360

Step-by-step explanation:

Use PEMDAS

Answer:

25 is 6

Step-by-step explanation:

sqrt of 4 is just 2 and then plus 4 gives you 6