Daniel deposits $8,000 into a continuously compounding interest account. After 18 years there is $13,006.40 in the account. What was the interest rate?

Answer:

y=-2x-6

Step-by-step explanation:

Slope intercept form of a line: y=mx+b (m is the slope and b is the y-intercept)

Convert our given line 6x+3y=4 into slope-intercept form to find the slope

Subtract 6x on both sides

3y=-6x+4

Divide 3 on both sides

y=-2x+4/3

The slope of the given line is the coefficient of x, -2

Parallel lines have the same slope, so the equation we're solving for also has a slope of -2

We also know that the y-intercept is -6, so we now have all the info we need to make the equation:

y=-2x-6

answer:

a function

step-by-step explanation:

hello there!

as you said, there is only able one output ( y ) for each input ( x ) for it able to become a function

here is a little example of a "table" to help me explain this a little better for you!

input ( x ) | output ( y)

      8       |       -3

      3       |       8

      9       |       4

     -2       |       2

since none the inputs have more then one output then that means it is a function

hope this helps you and please let me know if i had made a mistake in the problem, have a wonderful day!! :D

Answer:

365 yards

Step-by-step explanation:

1085/3=365 yds

Hope this helped!!!

Answer:

80 dollars and 50 cents.

Step-by-step explanation:

youd first multiply 70 by .15 which would equal 10.5. then add the 70 and 10.5 together. then you get your answer. so the expression youd want to use would be "x=70×.15"

Answer:

d₂ = 15 cm

Step-by-step explanation:

The area (A) of a kite is calculated as

A = [tex]\frac{1}{2}[/tex] d₁d₂

Here A = 120, d₁ = 16 , then

[tex]\frac{1}{2}[/tex] × 16 × d₂ = 120

8d₂ = 120 ( divide both sides by 8 )

d₂ = 15 cm

Answer:

D) -33

Step-by-step explanation:

Answer:

D: -33 as it is like if it was positives just oppositite.

Answer:

The surface area is 644 meters squared

Step-by-step explanation:

:)

Answer:

2x^3(3x^3-5x^4+2)

Step-by-step explanation:

Given: 6x^6-10x^7+4x^3

Factor out x^3: x^3(6x^3-10x^4+4)

Factor out 2: 2x^3(3x^3-5x^4+2)

Always look for what you can factor out.

Answer:

attached below

Step-by-step explanation:

Given :  FX (x) = 3/4x  (2-x)    0 ≤ x ≤ 2

a) Calculate the cumulative distribution function FX

Cdf =

attached below is the detailed solution

b) Let Y = √ X. determine CDF

attached below  

c) calculate PDF

Answer:

1a 1/4  1b 1/4  2a 5  2b40  

Step-by-step explanation:

Answer:

13√2 or 18.38478

Step-by-step explanation:

i hope this helps :)

Let us first resolve the given numbers into prime factors.

By prime factorization,

[tex] \longmapsto [/tex] √8 = √( 2 × 2 × 2)

[tex] \longmapsto [/tex] √8 = 2√2

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[tex] \longmapsto [/tex] √98 = √( 2 × 7 × 7)

[tex] \longmapsto [/tex] √98 = 7√2

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[tex] \longmapsto [/tex] √32 = √( 2 × 2 × 2 × 2 × 2)

[tex] \longmapsto [/tex] √32 = 2 × 2√2

[tex] \longmapsto [/tex] √32 = 4√2

According to the question,

[tex] \longmapsto [/tex] √8+√98+√32

[tex] \longmapsto [/tex] 2√2 + 7√2 + 4√2

[tex] \longmapsto [/tex] √2(2 + 7 + 4)

[tex] \longmapsto [/tex] √2(13)

[tex] \longmapsto [/tex] 13√2

So, we get that :

Answer:

4 25/18

Step-by-step explanation:

Step-by-step explanation:

hope this help you have a great day!

Answer:

Sorry if im wrong..

Step-by-step explanation:

7 = (7 x)/3 + 4 = 21 x + 4 = 7

Answer:

2.

2x+3y=45

x+y=16

3.

x+y=383

4x+6y=2034

4.

y=2x+11

x+y=53

5.

2x+5y=16

5x+2y=19

Step-by-step explanation:

Answer:

Um excuse me u answered my question without answering my question so here we r

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

a^2 + b^2 = c^2

144 + 25 = [tex]\sqrt{169}[/tex] = 13

Answer:

13

Step-by-step explanation:

pythagorean theorem a^2+b^2=C^2

5^2+12^=x^2

25+144=169

[tex] \sqrt{169} = 13[/tex]

Answer:

Ann has 24 $1 bills, 2 $10 bills, and 8 $20 bills.

Step-by-step explanation:

Given that Ann has $1, $10, and $20 bills, and she has 4 times as many $20 bills as $10 bills and 3 times as many $1 bills as $20 bills, taking a total of $204, to determine the number of $1, $10, and $20 bills she has, she needs to perform the following calculation:

1 = 3x20 = 3x4x10 = 12x10

20 = 4x10

10 = 10

(12 x 1) + (4 x 20) + 10 = 12 + 80 + 10 = 102

(24 x 1) + (8 x 20) + (2 x 10) = 24 + 160 + 20 = 204

So Ann has 24 $1 bills, 2 $10 bills, and 8 $20 bills.

Answer:

270 : 210

Step-by-step explanation:

total ratio

9 + 7 = 16

ratio 1

480 ÷ 16 =30

ratio 9

30 × 9 = 270

ratio 7

30 × 7 =210

Answer:

14 days

Step-by-step explanation:

you divide the total distance, 35, by the amount of miles ran per day, 2.5, to get 35/2.5=14.

Answer:

The answer would be 78

Step-by-step explanation:

4 x 12 = 48

48 + 30 = 78

Therefore the answer is 78

The width and length of the chicken coop are 5.5 feet and 9.5 feet respectively.

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

The perimeter of a rectangle is given by P = 2L + 2W, where L is the length, W is the width and P is the perimeter.

We know that the width is w feet and the length is w+4 feet.

Given that the perimeter of the chicken coop is 30 feet, we can set up the following equation:

30 = 2(w + 4) + 2w

We can simplify this equation by combining like terms:

30 = 2w + 8 + 2w

30 = 4w + 8

22 = 4w

w = 5.5

So the width of the coop is 5.5 feet.

To find the length of the coop, we can use the information that the width is 5.5 feet and the length is w+4 feet.

The length of the coop is 5.5 + 4 = 9.5 feet

Learn more about the Perimeter of the rectangle here:

brainly.com/question/15287805

#SPJ2

Answer:

42,-42

Step-by-step explanation:

We first solve for x from x^6 = 64, by taking the root of both sides, and we get x = 2,-2

We then plug in both of the x values and get 42,-42

PS: That should be the right answer but you didn't include the possible answers, and I somehow also got 30 when plugging in -2, but just try it yourself to be safe.

The segment BD is secant in the circle. Then the correct answer is option D.

A secant line is a straight line that passes through two points on a circle. The section of the line that connects two separate circle points is known as a chord. A chord is in a unique secant line and every secant line defines a unique chord.

Here we can see in the circle segment BD is passing at two points from the circle. Then BD is the secant of the circle.

Hence, the correct answer is option D.

The complete options are given below:-

A. BO

B. BC

C. AO

D. BD

To know more about secant follow

https://brainly.com/question/23026602

#SPJ5

Answer:

Option A (BD)

Step-by-step explanation:

i liddly just finished it ang got it right

Answer:

60 m squared

Step-by-step explanation:

40+7.5+12.5=60

Answer:

323 legos

Step-by-step explanation:

Answer:

R180

Step-by-step explanation:

Adjusted income = (original pocket money x new ratio) / old ratio

( 6 x $150) / 5 = $180

Answer:

The answer should be [tex]\frac{87}{50}[/tex]

Step-by-step explanation:

1.74 = [tex]\frac{174}{100}[/tex] = [tex]\frac{87}{50}[/tex]

Answer:

174% = 87/50 = 1 37/50 as a fraction

Step-by-step explanation:

174% = 174/100

Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(174,100) = 2. So,

(174÷2)/(100÷2) = 87/50 when reduced to the simplest form.

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 174/100 is also equal to 1 37/50 when expressed as a mixed number.