Find the area of the figure.
A: 24.5 ft²
B: 44 ft²
C: 49 ft²
D: 14.8 ft²

Using compound interest and continuous compouding, it is found that:

a) The investment at 4% compounded quarterly will earn more interest in 4 years.

b) The better plan will earn $537 more.

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

In this problem, the parameters are: P = 50000, r = 0.04, n = 4, t = 4, hence the amount will be of:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(4) = 50000\left(1 + \frac{0.04}{4}\right)^{4 \times 4}[/tex]

A(4) = $58,629.

It is given by:

[tex]A(t) = Pe^{rt}[/tex]

In this problem, this option has r = 0.0375, hence:

[tex]A(4) = 50000e^{0.0375 \times 4} = 58092[/tex]

Then:

Item a:

The investment at 4% compounded quarterly will earn more interest in 4 years.

Item b:

58629 - 58092 = $537.

The better plan will earn $537 more.

More can be learned about compound interest at https://brainly.com/question/25781328

Answer:

  (c)  0

Step-by-step explanation:

Each of the terms in the expression represents a different transformation of a different trig function. Expressing those as the same trig function can make it easier to find the sum.

__

We can start with the identity ...

  cos(x) = sin(x +π/2)

Substituting the argument of the cosine function in the given expression, we have ...

  cos(π/2 -θ) = sin((π/2 -θ) +π/2) = sin(π -θ) = -sin(θ -π)

__

The first term, sin(π +θ), is a left-shift of the sine function by 1/2 cycle, so can be written ...

  sin(π +θ) = -sin(θ)

The second term is the opposite of a right-shift of the sine function by 1/2 cycle, so can be written ...

  cos(π/2 -θ) = -sin(θ -π) = sin(θ)

Then the sum of terms is ...

  sin(π +θ) +cos(π/2 -θ) = -sin(θ) +sin(θ) = 0

The sum of the two terms is identically zero.

Answer:

e) 36x² - 32y³ = (4)(9x² - 8y³)

f) 45a⁴ - 54a³ = (9a³)(5a - 6)

Step-by-step explanation:

e) 36x² - 32y³ = (4)(9x² - 8y³) becuase 4*9 = 36 and 4*8 = 32

f) 45a⁴ - 54a³ = (9a³)(5a - 6) becuase 9*5 = 45 and 9*6 = 54 and when a is multiplied by a³ you get a⁴

(the exponent are added)

PLEASE RATE!! I hope this helps!!
If you have any questions comment below

Answer: 0.125

Step-by-step explanation:

Add up the probabilities in the other ones and subtract that sum by 1, since 0 boys is out remaining answer

Answer:

268

Step-by-step explanation:

11/37=credit card

11/37=x/900

900 divided by 37=24.3

24.3 times 11=267.56

round it to 268

Answer:

4

Step-by-step explanation:

If the shapes are similar we can use the side length proportion to find the value of x:

7/91 = x/52 cross multiply expressions

91x = 364 divide both sides by 91

x = 4

Answer:

you can find the answer in the given attachment

Step-by-step explanation:

1-P

2-G

3-T

4-O

5-S

6-E

7-D

8-C

9-A

Answer:

x ≥ 5

Step-by-step explanation:

[tex]\sf 4x+3\ge \:23[/tex]

subtract 3 from both sides

[tex]\sf 4x+3-3\ge \:23-3[/tex]

simplify

[tex]\sf 4x\ge \:20[/tex]

divide both sides by 5

[tex]\sf \dfrac{4x}{4}\ge \dfrac{20}{4}[/tex]

simplify

[tex]\sf x\ge \:5[/tex]

Answer:

x ≥ 5

Step-by-step explanation:

To simplify the given inequality, we need to isolate the variable "x".

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

Step-1: Subtract 3 both sides

4x + 3 ≥ 23

⇒ 4x + 3 - 3 ≥ 23 - 3

⇒ 4x ≥ 23 - 3

⇒ 4x ≥ 20

Step-2: Divide 4 both sides

⇒ 4x ≥ 20

⇒ 4x/4 ≥ 20/4

⇒ x ≥ 5

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

(Note: The solution of the book you provided in your question is incorrect. Seek below for proof)

*answer is x is greater than or equal to 3.​*

Substituting 3 in the inequality:

4x + 3 ≥ 23

4(3) + 3 ≥ 23

12 + 3 ≥ 23

15 ≥ 23  (False)

Answer:

1. 3.33

2. 8.75

3. 4.8

4. 2.5

Step-by-step explanation:

divide the numbers.

Answer:

y=[tex]5^{8}[/tex]

Step-by-step explanation:

An exponential equation is in the form y=[tex]a^{x}[/tex] where a is the base and x is the exponent.

If 5 is the base then it would replace a, and if it 8 was the exponent it will replace x.

Step-by-step explanation:

question no. 21 answer

8 units

[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]

[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]

By using Distance formula ~

[tex]\qquad❖ \: \sf \: \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } [/tex]

[tex]\qquad❖ \: \sf \: \sqrt{ ( - 8 - ( - 8)) {}^{2} + ( - 8 - 5) {}^{2} } [/tex]

[tex]\qquad❖ \: \sf \: \sqrt{0 + ( - 13) {}^{2} } [/tex]

[tex]\qquad❖ \: \sf \: \sqrt{169} [/tex]

[tex]\qquad❖ \: \sf \:13 \: \: units[/tex]

[tex] \qquad \large \sf {Conclusion} : [/tex]

The distance between the points is 13 units

Answer:

i believe the rate of change is 1/1 or just 1.

there is also 1 graph only?

Answer:

C

Step-by-step explanation:

just imagine that they are folding and what they would fold into.

this kind of question is a memory test.

Hope this helps!

Brainliest please!

Please fully rate!

Have a great day!

Answer: Angles 6 and 7

Step-by-step explanation:

These angles form a linear pair, and angles that form a linear pair are supplementary.

Answer:

oh that's hard lol just go to the lowest number and times it on a piece of paper

Answer:

C) $0.28 per packet

Step-by-step explanation:

I divided them to find how much each packet costs

Each pack of watermelon costs $0.76
Each pack of tomato seed packet costs 0.48

Subtract and you have your answer!

0.76 - 0.48 = 0.28

Answer:

I'm suggesting that you should read your books!!!

You should be more thoughtful...

Answer:

Part A) x = 6, 13, 22, 33

Part B)

Some examples of perfect squares are 9, 16, 25, and 36. They are the squares of 3, 4, 5, and 6. To generate these values, add x to 3 and plug these numbers into an equation:

√(x + 3) = 3

√(6 + 3) = √9

x = 6

√(x + 3) = 4

√(13 + 3) = √16

x = 13

√(x + 3) = 5

√(22 + 3) = √25

x = 22

√(x + 3) = 6

√(33 + 3) = √36

x = 33

1. (6, 3)

2. (13, 4)

3. (22, 5)

4. (33, 6)

I hope this helps!

Answer:

90m^2

Step-by-step explanation:

1/2 d1*d2

1/2 12*15

1/2*180

90 Square meter

Answer:

Yes

Step-by-step explanation:

Yes, because the remainder of f(x) is 0

Answer:

4/3

Step-by-step explanation:

correct this answer

Answer:

3/5

Step-by-step explanation:

7/5 / 7/3 = 3/5

Answer:

3/5

Step-by-step explanation:

First we make both fractions into improper fractions/top-heavy fractions:

1 2/5 = 7/5

2 1/3 = 7/3

Now we use the rule of KFC (keep flip change):

Keep the first fraction:

7/5

Change the sign to opposite:

÷ → ×

Flip the second fraction:

7/3 → 3/7

Now we multiply the fractions:

7/5× 3/7 = 7×3/5×7 =

21/35

Now we simplify this fraction to simplest terms:

Both the numerator and denominator can be divided by 7 :

3/5

So this is our final answer

[tex]10x+35[/tex]

Hope it helps.

Do comment if you have any query.

A proportion is a comparison between two ratios.

A ratio is a proportion between two numbers.

To write a proportion, create two comparisons with two numbers and set them equal to each other.

We're given:

Write two ratios:

[tex]\dfrac{117\hspace{3}dollars}{1\hspace{3}week}[/tex]

[tex]\dfrac{234\hspace{3}dollars}{2\hspace{3}weeks}[/tex]

Set them equal to each other:

[tex]\dfrac{117\hspace{3}dollars}{1\hspace{3}week}= \dfrac{234\hspace{3}dollars}{2\hspace{3}weeks}[/tex]

[tex]\dfrac{117\hspace{3}dollars}{1\hspace{3}week}= \dfrac{234\hspace{3}dollars}{2\hspace{3}weeks}[/tex]

Answer:

  (0, 80)

Step-by-step explanation:

The y-intercept is the value of the function when x=0. For a polynomial in x, setting x=0 effectively eliminates all of the variable terms, leaving only the constant term.

__

The y-intercept is the constant: 80. The coordinates of the y-intercept point reflect the fact that x=0 there: (0, 80).

Answer:

50.24

Step-by-step explanation:

Area=R^2*PI

OR
Area-R*R*PI

So, Area=4*4*3.41

=50.24

Answer:

1,661.1

Step-by-step explanation:

A= 3.14 x (23 x 23)

3.14 x 529= 1,661.06

1,661.1

Answer:

The area of rectangle is 77 sq ft.

Answer: 77 sq ft

Step-by-step explanation:

Answer:

blank1: 00110001 00111001 00110010

blank 2: 00110001 00110110 00111000

blank 3:00110001

blank 4:00110101

Answer:

5

Step-by-step explanation:

a²+b²=c²

In this case c is 13 and b is 12

a²+12²=13³

a²+144=169

Subtract 169 and 144 to find a

169-144=25

The square root of 25 is 5