Use the following compound interest formula to complete the problem. a = p (1 startfraction r over n endfraction) superscript n superscript t rodney owes $1,541.05 on his credit card. his card has an apr of 16.29%, compounded monthly. assuming that he makes no payments and no purchases, how much will he owe after one year? a. $1,561.97 b. $1,811.70 c. $1,792.09 d. $1,541.05 please select the best answer from the choices provided a b c d

Answer:

Gas left after 6 hours: 3.5

Gas left after t hours: 11-1.25t

Answer:

The question is not clear. please write the complete question

Answer:

1

Step-by-step explanation:

C = (9,2) & D = (-7,-9)

x₁ = 9 x₂ = -7

∴

[tex]\frac{9+(-7)}{2}[/tex] = 1

Answer:

-1

Step-by-step explanation:

f(x) =3x-7

x=2

f(x)=3×2-7

f(x)=6-7

f(x)=-1

Answer:

6.4/6

Step-by-step explanation:

Since

4 : 5 = X : 8

Then we know

4/5 = X/8

Multiplying both sides by 8 cancels on the right

8 × (4/5) = (X/8) × 8

8 × (4/5) = X

Then solving for X

X = 8 × (4/5)

X = 6.4

Therefore

4 : 5 = 6.4 : 8

Answer:

2/9

Step-by-step explanation:

hope this helps!

Answer:

The answer is 2/9

Step-by-step explanation:

Answer:

50° is the correct answer

Step-by-step explanation:

Right Triangles

The right triangles are identified because they have an internal angle of 90°. The basic trigonometric ratios can be used to find angles and side lengths as needed.

We have a right triangle with the following characteristics:

The hypotenuse is 13 units long

The indicated angle is opposite to the leg of 10 units long.

When we know the length of the opposite side, we use the sine ratio. Let's call θ to the required angle:

[tex]\displaystyle \sin\theta=\frac{\text{opposite side}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle \sin\theta=\frac{10}{13}[/tex]

Using a calculator set in mode degrees, the angle is:

[tex]\theta=\sin^{-1}\frac{10}{13}[/tex]

[tex]\theta\approx 50.3^\circ[/tex]

First choice: 52° is not correct because is not a good approximation to 50.3°

Second choice:38° is not correct because is not a good approximation to 50.3°

Third choice: 50° is a good approximation to 50.3°. Correct Answer

Fourth choice: 40° is not correct because is not a good approximation to 50.3°

Answer:

342 pairs

Step-by-step explanation:

Given that,

New pair of sneakers produced by the Nike factory = 5,814

The company wants to distribute the sneakers evenly among their 17 warehouses.

We need to find the no of pairs of the Air Jordan sneakers will each warehouse receives. It can be calculated as follows :

[tex]n=\dfrac{\text{total pair of sneakers}}{\text{no of warehouses}}\\\\n=\dfrac{5814}{17}\\\\n=342[/tex]

It would mean that each warehouse will receive 342 pair of sneakers.

Answer:

210 is the rate per hour and 1,050 people in 5 hours

Step-by-step explanation:

Answer:

Step-by-step explanation:

    You need to get answer to people per hour first. 70 people could ride the ferris wheel in 20 minutes. 20 minutes is 1/3 of 60 minutes, which is an hour. So you multiply both the time and the amount of people by 3. 70 times 3 is 210. This is the amount of people that could ride the ferris wheel in 1 hour. Then, we need to multiply this number by 5, because we need the amount of people that could ride the ferris wheel in 5 hours, not 1 hour. So 210 times 5 is 1,050. 1,050 people could ride the ferris wheel in 5 hours.

    Next, we need to find the rate per hour. You already have the answer to that though. It is the amount of people that could ride the ferris wheel, so your  previous number: 210. Your rate would be 210 people per hour could ride the ferris wheel.

You're welcome, stranger :)

scale    1 cm............25 km

            n cm...........280 km

25 x n = 1 x 280

n = 280 : 25

n = 112 cm on the map

The hospital uses the quadratic model to predict the number of births

The equation of the quadratic model is f(x) = 4 x^2 -43 x +178, and the number of births for month 8 is 90

To determine the quadratic model, the make use of a graphing calculator, that has the following calculation summary

A quadratic model is represented as:

[tex]y= ax^2 + bx + c[/tex]

So, we have:

[tex]y = 4.339 x^2 -43.461 x +178.3[/tex]

Approximate

[tex]y = 4 x^2 -43 x +178[/tex]

Rewrite as:

[tex]f(x) = 4 x^2 -43 x +178[/tex]

At the 8th month, we have x = 8.

So, the function becomes

[tex]f(8) = 4 * 8^2 -43 *8 +178[/tex]

[tex]f(8) = 90[/tex]

Hence, the number of births for month 8 is 90

Read more about quadratic models at:

https://brainly.com/question/1214333

Answer:

4

-43

178

90

Step-by-step explanation:

yep

Answer:

(6, 7)

Step-by-step explanation:

Hope this helps.

The midpoint of the line segment AB is M. Then the coordinate of the point B will be (6, 7).

Let AB be the line segment and C be the mid-point of line segment AB. Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid-point (x, y).

Then the coordinate of the mid-point of the line segment is given as,

(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]

The midpoint of AB is M(4,4). If the coordinates of A are (2, 1). Then the coordinate of the point B will be given as,

(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]

(4, 4) = [(2 + x₂) / 2, (1 + y₂) / 2]

Compare the abscissa, then we have

(2 + x₂) / 2 = 4

(2 + x₂) = 8

x₂ = 8 - 2

x₂ = 6

Compare the ordinate, then we have

(1 + y₂) / 2 = 4

1 + y₂ = 8

y₂ = 8 - 1

y₂ = 7

The midpoint of the line segment AB is M. Then the coordinate of the point B will be (6, 7).

More about the mid-point of the line segment link is given below.

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Answer:

Conjecture

Disjunction

Counterexample

Conjunction

Inductive reasoning

Conditional

Step-by-step explanation:

I used Quizlet and I knew most of them.

Answer:

6-(4*x) This is your answer, because less than is also another word for subtraction.                              

Answer:

see below

Step-by-step explanation:

Apple crisp has

8 servings and contains 80 grams of sugar.

80 grams / 8 servings = 10 grams per serving

Greek frozen yogurt has

12 servings  and contains 60 grams of sugar.

60 grams / 12 serving = 5 grams per serving

He should make Greek frozen yogurt

Answer:

He should make Greek frozen yogurt!

Step-by-step explanation:

Apple crisp has

8 servings and contains 80 grams of sugar.

80 grams / 8 servings = 10 grams per serving

Greek frozen yogurt has

12 servings  and contains 60 grams of sugar.

60 grams / 12 serving = 5 grams per serving

He should make Greek frozen yogurt

Answer:

It will take him 5 hrs to write a 20-page essay because he can write 4 pages in 1 hour.

Hope this helps!

Answer:

5 hours

Step-by-step explanation:

For 12 pages, he spent 3 hours. So it takes him 1 hour to write 4 pages. (12 ÷ 3 = 4) If for each 4 pages 1 hour is spent respectively, then for 20 pages: 20 ÷ 4 = 5 hours will be spent.

Answer:

Your answer is: 7x-38/15

Step-by-step explanation:

Hope this helped : )

Answer:

long tern asset

Step-by-step explanation:

Answer: Factors of 42: 1, 2, 3, 6, 7, 14, 21 and 42. I don’t know the second

Step-by-step explanation:

Answer:

My best guess would 16.6

I hope that helped! :)

Answer:

algebra

Step-by-step explanation:

bra

The surface area of the triangular prism is 533.6 cm².

where

b and h are the base and height of the triangular base. Therefore,

Therefore,

x = 12 cm

y = 10 cm

z = 15.6 cm

l = 11 cm

Therefore,

SA = 12 × 10 + (12 + 10 + 15.6)11

SA = 120 + (22 + 15.6)11

SA = 120 + (37.6)11

SA = 120 + 413.6

SA = 533.6 cm²

learn more on triangular prism here: https://brainly.com/question/13512346

Answer:

8bc/12ab + 3ac/12ab

Step by step explanation:

c×(2/3a +1/4b)

c× (8b/12ab + 3a/12ab)

8bc/12ab + 3ac/12ab

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]12x-9y = 27\implies -9y=-12x+27\implies y=\cfrac{-12x+27}{-9} \\\\\\ y=\cfrac{-12x}{-9}+\cfrac{27}{-9}\implies y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{4}{3}}x-3\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

therefore

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{4}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{4}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{4}}}[/tex]

Answer:

The function is

The remainder when f(x) is divided by x−2 is 23

To find:

The value of k.

Solution:

According to the remainder theorem, if a polynomial P(x) is divided by (x-c), then the remainder is P(c).

It is given that, the remainder when f(x) is divided by x−2 is 23. By using the remainder or theorem, we get  

Put x=2, to find the value of f(2)

Using (i) and (ii), we get

Therefore, the value of k is 8.

Step-by-step explanation:

hope this helps

f(x) - 2x³ + kx - 4 and the remainder when f(x) is divided by x + 2 is -18.  then k is 15.

The remainder theorem states that when a polynomial p(x) is divided by (x - a), then the remainder = f(a)

f(x)=2x³ + kx - 4

x+2=0

x=-2

By the remainder theorem, the remainder when dividing by x-a is f(a)

f(-2)=2(-2)³+k(-2)-4

=-2(-8)-2k-4

=16-2k-4

The remainder is -18.

So, 16-2k-4=-18

12-2k=-18

-2k=-18-12

-2k=-30

k=15

Hence the value of k is 15.

To learn more on Remainder theorem click:

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Answer:

$ 41.97

Step-by-step explanation:

59.95x30%=17.98

59.95-17.98=41.97

Answer:

IM because they are the same!!

YOUR WELCOME

Step-by-step explanation:

Answer:

[tex]y = - \frac{9}{8} x + 7[/tex]

Step-by-step explanation:

[tex]m = \frac{ - 2 - 7}{8 - 0} = \frac{ - 9}{8} [/tex]

Since this line passes through (0,7), then this point satisfies the equation of the line;

[tex]y = \frac{ - 9}{8} x + b[/tex]

[tex]7 = \frac{ - 9}{8} (0) + b[/tex]

[tex]7 = b[/tex]

[tex]b = 7[/tex]

Hey there!

We are given 2 points that the line passes through, so we can easily determine the slope of the line:

[tex]\bold{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]

[tex]\bold{\displaystyle\frac{-2-7}{8-0}=\frac{-9}{8} }[/tex]

So now we have the slope.

However, we also need to find the y-intercept (we are actually given the y-intercept, (0,7) or just 7)

Hence, the equation is

[tex]\boxed{\boxed{\bold{y=-\frac{9}{8} x+7}}}[/tex]

Hope everything is clear.

Let me know if you have any questions; if you do, please comment.

#LearningDoesn'tEnd

Answer:

$6

Step-by-step explanation: