Dylan opened a credit card account with $700,00 of available credit. Now that he has made
some purchases, Dylan's account only has $539.00 of available credit. What is the percentage
decrease of the amount of available credit in Dylan's account?
A.
23%
B.
17%
C.
30%
D.
77%

Answer:

c(t)=90+90×0,04t

c(t)=3,6t + 90

Answer:

1

Step-by-step explanation:

Evaluate the following

Lim (xcotx)

x->0

Note that cotx = cosx/sinx

The expression becomes

Lim (xcotx) = Lim (xcosx/sinx)

x->0               x->0

= 0cos0/sin0

= 0/0 )(ind)

Apply l'hospital rule

= Lim d/dx(xcosx/sinx)

x->0          

= lim (-xsinx + cosx)/cosx

    x->0

= -0sin0+cos0/cos0

= 0+1/1

= 1/1

= 1

Hence the limit of xcotx as x tends to zero is 1      

Answer:

I have made it in above picture

hope it helps

Answer:

Option (1)

Step-by-step explanation:

Given inequality is.

4x + 5 ≥ 13

We will further solve this inequality,

(4x + 5) - 5 ≥ 13 - 5

4x ≥ 8

[tex]\frac{4x}{4}\geq \frac{8}{4}[/tex]

x ≥ 2

Therefore, on a number line solution of x will be all values of x greater than equal to 2.

Which will be represented by and arrow starting with a solid point from x = 2 directing towards numbers greater than 2.

Option (1) will be the answer.

Given:

In circle P, m∠ADB is 25°.

To find:

The m∠APB.

Solution:

Central angle theorem: According to this theorem, the central angle of an arc is twice of inscribed angle of the same arc.

From the given figure it is clear that the ∠APB is the central angle and ∠ADB is the inscribed angle on the arc AB.

By using the central angle theorem, we get

[tex]m\angle APB=2\times m\angle ADB[/tex]

[tex]m\angle APB=2\times (25^\circ)[/tex]

[tex]m\angle APB=50^\circ[/tex]

Therefore, the correct option is D.

Answer: the answer is c

Step-by-step explanation:

Answer:

I love cookies

Step-by-step explanation:

Answer:

90%

Step-by-step explanation:

1 batch would be the same as 100%

So, 100%-10%=90%

Hope I helped you!!!!!

Answer:

P(A) = 0.3

Step-by-step explanation:

independent event:

P(A|B) = P(A) = 0.3

The value of P(A) is equal to 0.3 to the nearest tenth.

When one event's occurrence or non-occurrence doesn't affect the occurrence or non-occurrence of another event, then such events are called independent events. Comparing it with the chain rule will give

[tex]P(A|B) = P(A)\\P(B|A) = P(B)[/tex]

It is showing that whether one occurred or not, the other one doesn't care about it (independence).

Given that A and B are independent events, A and C are dependent. P(A|B) = 0.3,

P(A|C) = 0.2.

We know that for the independent event:

P(A|B) = P(A)

Hence, P(A) = 0.3

The value of P(A) is equal to 0.3 to the nearest tenth.

Learn more about independent variables;

https://brainly.com/question/1479694

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What number must you add to x² + 16x = 3 to complete the square 64: Option C

You should be aware that a perfect square is a term that has two common factors

The given equation is x² + 16x = 3

To make the equation a perfect square, Add the square of half of the coefficient of s to both sides

This is to say that (16/2)² = 8² = 64

The equation becomes x²+16x+64 = 3+64

Then you can factorize the equation and simplify the right hand side

Learn more about perfect squares on https://brainly.com/question/385286

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Answer:

Step-by-step explanation:

Answer:

y = -7.2x + 540

Step-by-step explanation:

to find the slope I used the x-and-y intercepts: (0, 540) and (75, 0)

slope = 540/-75 or -7.2

Answer:

732

Step-by-step explanation:

Answer:

k=7.3

Step-by-step explanation:

6k=44

k= 44÷6

k=7.3

Answer:310

Step-by-step explanation:

Step-by-step explanation:

The point formed at the intersection of the three angle bisectors of a triangle; also the centre of the incircle.

Given:

The measure of an angle is 50 degrees.

To find:

The complement of the given angle.

Solution:

We know that the sum of an angle and its complement is 90 degrees.

Let x be the complement angle of 50 degrees.

[tex]x+50^\circ=90^\circ[/tex]

[tex]x=90^\circ-50^\circ[/tex]

[tex]x=40^\circ[/tex]

Therefore, the measure of complement of the given angle is 40 degrees.

Answer:

No

Step-by-step explanation:

Answer:

the answer is 38

Step-by-step explanation:

103 + 39 + 38= 180, the degree of a triangle

Answer:

B

Step-by-step explanation:

The range of the function is - ∞ < y < 2

The range of the function are the set of output values of the function.

From the given graph, the values of the graph increases from negative infinity and ends at 2

So, the range of the function is - ∞ < y < 2

Read more about range at:

https://brainly.com/question/10197594

Answer:

C

Step-by-step explanation:

14/21 = 2/3 = .666666666666666666666.....7

Answer:

The equation 15 - 3 = x will help solve for x.

x = 12

Step-by-step explanation:

15 - 3 = 12

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

Answer:

x = 15 - 3

Step-by-step explanation:

We need to isolate the variable for this. Simply subtract by 3 to get the equation.

x + 3 = 15

   -  3    - 3

x = 15 - 3

the real answer would be 12, if you need that.

Answer:

$28

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 10%/100 = 0.1 per year,

then, solving our equation

I = 70 × 0.1 × 4 = 28

I = $ 28.00

The simple interest accumulated

on a principal of $ 70.00

at a rate of 10% per year

for 4 years is $ 28.00.

Answer: for number 1 its negative 14

Step-by-step explanation:

Answer:

theres 16 doughnuts

Step-by-step explanation:

My name is Ankush kumar I am A boy

Answer:

-50

Step-by-step explanation:

Answer:

a = -50

Step-by-step explanation:

-10 = 1/5a

multiply both sides of the equation by 5:

a = -50

Answer:

81

Step-by-step explanation:

4 : 9

36 : ?

to get from 4 to 36, you multiply 9

9 x 9 = 81

Answer:

x1 = -2, x2 = 8

Step-by-step explanation:

You can first divide both sides of the equation by 2 so now you have:

I 2x - 6 I = 10

Then use the absolute value definiton and rewrite it into two separate equations:

1.) 2x - 6 = -10

2.) 2x - 6 = 10

From here you can solve both equations:

1.) x = -2

2.) x = 8

i hoped this helps

Answer:

A.

Hope that helps!

Step-by-step explanation:

Answer:

A. 3x = 6

Step-by-step explanation:

I hope this can help!

Have a nice day!