Damian has a balance of $10,200 on his credit card. He threw the card away so he can never use it again. He has 3 1/2 years to pay off the balance. The interest rate on his card is 21%.

a. At the end of the 3 1/2 years, how much interest has he paid? ________
b. When Damian pays off his credit card, how much will he have paid in all? _____

Answer:

I only

Step-by-step explanation:

The others have irrational & unsolvable numbers!

Hope that helps!

Answer:

I need more info to answer this question.

Step-by-step explanation:

Step-by-step explanation:

a. 4×|-8| = 4×8 =32

b. 2×3+4×7= 6+28 = 34

c. 8×2-6 = 10

d. 5×4+2×6 = 32

Answer:

-86

Step-by-step explanation:

Substitute -11 for x in the equation:

8(-11)+2

=-88+2

=-86

Answer:

x = 1, y = -15

Step-by-step explanation:

7x + y = -8 ⇒ y = -7x-8

2x + 5y = -7

substitute -7x-8 for y:

2x + 5(-7x-8) = -7

2x - 35x - 40 = -7

-33x - 40  = -7

-33x = -33

x = 1

y = -7x-8 = -15

Answer:

The slope is -3

Step-by-step explanation:

Use the slope formula to find the slope.

The formula is .... ⏬

Answer:

Step-by-step explanation:

V = πr²h

1014π = πr²·6

r² = 1014/6 = 169

r = 13 cm

Answer:

10 months

Step-by-step explanation:

Please let me know if you want me to write an explanation for my answer :)

Answer:

Step-by-step explanation:

3n + 5d = 20.25

24n + 40d = 162

8n + 8d = 38

-24n - 24d = -114

24n + 40d = 162

-24n - 24d = -114

—————————

16d = 48

d = 3

A drive costs $3

3n + 5(3) = 20.25

n = 1.76

A notebook costs $1.75

Step-by-step explanation:

Given

12a - 8 - 5a + 12

= 7a + 4

Hope it will help :)

Answer:

7a + 4

Step-by-step explanation:

First, let's rewrite this expression to combine like terms:

12a – 8 – 5a + 12  — I bolded the constants and underlined the expressions with variables

12a – 5a – 8 + 12  — it looks a little easier regrouped, doesn't it?

The last two terms are easy, right?

12 – 8 = 4  — simplify with subtraction

We'll focus on the first two terms now. Let's rewrite the terms with variables attached to make the subtraction easier:

a(12 – 5) = a(7) = 7a

We could also think of it this way: multiplication is just repeated addition.

12a = a + a + a + a + a + a + a + a + a + a + a + a (we just add a to itself 12 times)

5a = a + a + a + a + a (we just add a to itself 5 times)

Subtracting this expression would then look like this:

a + a + a + a + a + a + a + a + a + a + a + a – (a + a + a + a + a)

a + a + a + a + a + a + a + a + a + a + a + a – a – a – a – a – a

Five of the a values will cancel out, and to show this, we can rewrite the expression once more, like this:

a – a + a – a + a – a + a – a + a – a + a + a + a + a + a + a + a

The five a values cancel out and leave us with this:

a + a + a + a + a + a + a

How many a values are added together now? Seven of them, right? We add a to itself 7 times. We can then rewrite that expression as 7a.

Using the [12 – 8 = 4] expression from above, we add the 4 to the 7a to find our final answer: 7a + 4

I hope this helps increase your understanding of the concept! Have a great day!

Answer:

pesaria 2.25 kilos

explicacion

Answer:

6

Step-by-step explanation:

6 is the correct answer because-3-3+1

Answer:

Step-by-step explanation:

The roots are the x-intercepts, 5 and 6.

Answer:

a) (0.806, 0.852)

b)Margin of error ≤ 0.01

1.96*√{0.5*(1–0.5)/n} ≤ 0.01

√n ≥ 98

n ≥ 9604

• Smallest sample size = 9604

Step-by-step explanation:

I found this on Chegg

Answer:

11

Step-by-step explanation:

11 * 7= 77

77 + 11= 88

Number of dogs cages = 16

Number of cats cages = 16

Number of rabbits cages = 4

What is an expression?

Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

For simplicity’s assume;

D = number of dogs cages, C = number of cats cages,

R = number of rabbits cages.

Since, The dogs and the cats cages are the same number,

We can say, C = D.

Only one fourth as many cages for rabbits,

So, we can formulate,

R = 1/4D

Since, A new animal hospital is planning to purchase a total of 36 cages for dogs, cats, and rabbits.

2D + 1/4D = 36

Combine like terms and get the same denominator;

9/4D = 36

9D = 144

D = 16

So,

Number of dogs cages = 16

Number of cats cages = 16

And, Number of rabbits cages = 36 - (16 + 16)

                                                = 36 - 32

                                                = 4

Thus,

Number of dogs cages = 16

Number of cats cages = 16

Number of rabbits cages = 4

Learn more about the mathematical expression visit:

https://brainly.com/question/28374179

#SPJ5

Answer:

a=2.65

You just bring over the 1.05 to the 3.7, and just go on from there!

Hope this helps!

Supplementary: N and M & N and I

Supplementary angles: A pair of angles whose sum is equal to 180°.

Vertical: M and I

Vertical angles: A pair of opposite angles that are made by two intersecting lines.

Complimentary: None

Complimentary angles: A pair of angles whose sum is equal to 90°.

Hope this helps! :D

Answer:

16 easy

Step-by-step explanation:

Answer: a. [tex]H_o : p=0.5[/tex] and [tex]H_a:p>0.5[/tex].

Step-by-step explanation:

Let p represent the proportion of all households in the city that gave a charitable donation in the past year.

Reseracher wants to check whether p > 50% or p > 0.5

Since Alternative hypothesis contains ">, <, ≠" and null hypothesis is the opposite of alternative hypothesis.

So Null hypothesis: [tex]H_o: p=0.5[/tex]

Alternative hypothesis: [tex]H_a:p>0.5[/tex]

The correct option is a. [tex]H_o : p=0.5[/tex] and [tex]H_a:p>0.5[/tex].

Answer:

2

2

3x

Step-by-step explanation:

1.) we can divide both sides by three to get

(3x+6)/3=x+?

x+2= x+?

from here we can tell that ?=2

2.) Let's start by dividing both sides by negative one

(x-2)/ -1= ?-x

simplify

-x+2= ?-x

Here we get ?= 2

3.)

Let's mulitply both sides by 5 to get

15x-10= 5(?-2)

15x-10 = 5?-10

15x= 5?

3x= ?

the answer here is 3x

Answer: 15 i think

Step-by-step explanation:

Answer:

as their is no labeling so it's hard to answer

55+55=110

180-110=70

vertical angles

so x=70

Answer:

150m

Step-by-step explanation:

[tex]Length=120-(-30)=120+30=150m[/tex]

Answer:

tu debes de saber las respuestas por qué tú estás como en onceavo

Answer:

[tex](-\frac{3}{7}, 0)[/tex] -- x intercept

[tex](0,3)[/tex] -- y intercept

Step-by-step explanation:

Given

[tex]y = 7x + 3[/tex]

Required

Determine the x and y intercept

For x intercept.

Set [tex]y = 0[/tex]

So, we have:

[tex]y = 7x + 3[/tex]

[tex]0 = 7x + 3[/tex]

Collect Like Terms

[tex]7x = -3[/tex]

Make x the subject

[tex]x = -\frac{3}{7}[/tex]

Hence, the x intercept is: [tex](-\frac{3}{7}, 0)[/tex]

For the y intercept;

Set [tex]x = 0[/tex]

So, we have:

[tex]y = 7x + 3[/tex]

[tex]y = 7*0 + 3[/tex]

[tex]y = 0 + 3[/tex]

[tex]y = 3[/tex]

Hence, the y intercept is: [tex](0,3)[/tex]

AnswerB

Step-by-step explanation:

Answer:

b. If your sample size had been 400 and you had obtained the same sample mean and sample standard deviation as in your original sample, the 95% confidence interval would have been approximately $2.43 plus or minus $0.08.

Step-by-step explanation:

Confidence interval:

A confidence interval is given by the sample mean plus minus the margin of error.

Margin of error:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which M is the margin of error, z is related to the confidence level(the higher the confidence level, the higher the value of Z), [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

This is important to note that the margin of error is inversely proportional to the square root of the size of the sample.

In this question, we have that:

95% confidence interval for the mean of Gas Price is of $2.43 plus or minus $0.16, with a sample of 100.

Option A:

Sample size of 400, which is four times the original, while the standard deviation is twice the original.

This means that the margin of error would be the same, as it would be multiplied by 2 in the numerator and divided by the square root of 4, that is, 2 in the denominator. So the interval would still be of $2.43 plus or minus $0.16, which means that option a. is wrong.

Option B:

Sample size of 400, which is four times the original, while the rest is the same.

The margin of error would be divided by the square root of 4, that is, 2, which means that it would be half of the original, and the interval would be $2.43 plus or minus $0.08, which means that option b. is correct.

Option C:

In this case, the margin of error will be doubled, since the standard deviation is double the original. So the confidence interval would be of $2.43 plus or minus $0.32, which means that option c. is wrong.

Option D:

In this case, the margin of error will be halved, since the standard deviation is half the original.  So the confidence interval would be of $2.43 plus or minus $0.08, which means that option d. is wrong.

Answer:

9632

or

9966

Step-by-step explanation:

im not 100% sure

Answer:

15%

Step-by-step explanation: