Find the area of the similar
figure.
20cm
25cm
Area = 320cm2 Area = [?]cm2

Answer: John would have $1371.33 more in his account than Jack.

Step-by-step explanation:

Formula to calculate amount after t years if compounded continuously:

[tex]A=Pe^{rt}[/tex]

Formula to calculate amount after t years if compounded quarterly:

[tex]A=P(1+\dfrac{r}{4})^{4t}[/tex]

, where P= Principal amount, r= rate of interest.

Given: P= $7,600

t=19 years

For Jack, [tex]r=6\dfrac{1}{4}\%=\dfrac{25}{4}\%=\dfrac{25}{400}=0.0625[/tex]

For John, [tex]r=6\dfrac{3}{4}\%=\dfrac{27}{4}\%=\dfrac{27}{400}=0.0675[/tex]

Amount in Jack's account after 19 years= [tex]7600e^{0.0625(19)}[/tex]

[tex]=7600e^{1.1875}\\\\=7600(3.27887376794)\\\\\approx\$24,919.44[/tex]

Amount in John's account after 19 years= [tex]7600e^{0.0675(19)}[/tex]

[tex]=7600(1+0.0675)^{19}\\\\=7600(3.45931245291)\\\\\approx\$26,290.77[/tex]

Difference = 26290.77-24919.44 = $ 1,371.33

John would have $1371.33 more in his account than Jack.

Answer:668

Step-by-step explanation: I just did it.

the answer is 10 pts bc the maximum number of points of intersection when 5 lines are drawn in a plane, as shown, is 10 points.

Answer:20

Step-by-step explanation: The rule you use for the problems is the same you use for finding the sum of patterned numbers: n*(n+1). n is equivalent to the number of circles. Thus, 5 *(5-1)= 5*4=20

Hope it helps!

Answer: Choice D

s^2 = 9^2 + 10^2 - 2(9)(10)cos(100)

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Explanation:

Consider the pythaorean theorem

a^2 + b^2 = c^2

which is the same as saying

c^2 = a^2 + b^2

If we tack on "-2ab*cos(C)", then we end up with

c^2 = a^2 + b^2 - 2ab*cos(C)

which is one form of the law of cosines. The side c is opposite angle C, and the two are on opposite sides of the equation. The 'a's and 'b's are on the right side with the angle C.

Note if C = 90 degrees, then cos(C) = cos(90) = 0 which means the whole "-2ab*cos(C)" term goes to 0 and we'd be left with the pythagorean theorem again.

In this case, we replace c with s, replace 'a' with 9, replace b with 10, and C with 100.

Answer:

Option (4)

Step-by-step explanation:

Cosine rule states,

(UT)² = (SU)² + (ST)² - 2(SU)(ST)cos(∠UST)

Here, UT is the opposite side of angle UST and two sides SU and ST are the adjacent sides.

∠UST is the included angle between SU and ST.

By this formula,

s² = 9² + 10² - 2(9)(10)cos(100°)

Therefore, Option (4) will be the answer.

Answer:

use the Pythagoras theorem..you will got the solution

Answer:

The answer is 17

Step-by-step explanation:

Answer: it's just "i"

Step-by-step explanation:

Answer:

-7 (3a - 5)

Step-by-step explanation:

Answer:

[tex] - 7(3a - 5)[/tex]

Step-by-step explanation:

you just have to factor out the common term 7.

The area of the garden that is grass is 30 square meters.

The square garden has a side length of 6 meters.

The triangular pond has a base of 4 meters and a height of 3 meters.

The area of the garden that is grass.

The area of the square garden is 6 x 6 = 36 square meters.

The area of the triangular pond is (1/2) x 4 x 3 = 6 square meters.

Therefore, the area of the garden that is grass is 36 - 6 = 30 square meters.

The area of the garden that is grass is 30 square meters.

Here are the steps in detail:

Calculate the area of the square garden: 6 m * 6 m = 36 square meters

Calculate the area of the triangular pond: (1/2) * 4 m * 3 m = 6 square meters

Subtract the area of the pond from the area of the square to find the area of the grass: 36 square meters - 6 square meters = 30 square meters

To learn more about area here:

https://brainly.com/question/1631786

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Answer: i don’t know but good luck, you got this!Have a nice day!

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

39 + 32 = 71

hope this helps have a good day!!

PLEASE MARK BRAINLIEST!! :)

Answer:

if it's not on a test, just guess

Step-by-step explanation:

Answer:

x=−13

Step-by-step explanation:

Combine the like terms:

2+3+5=4(−2)5+5=4(−2)

Distribute:

5+5=4(−2)

5+5=4−8

Subtract 5 from both sides

5+5=4-85+5−5=4−8−5

Then simplify:

x=−13

Answer:

x=−13

Answer:

11.99

Step-by-step explanation:

Answer:

Hello! :) have a good day!

X= 0.5

Answer:

x = 0.5

Step-by-step explanation:

Answer:

use pathway but with an M instead of P

Step-by-step explanation:

Answer:28/4

Step-by-step explanation:

Change of y over the change of x.

Y is +28

X is +4

PART A:

To find the rate of change, put change in y over change in x. In order to first find the changes, you must subtract two y values from each other and two x values from each other, like this:

Change in y = 20-10

Change in x = 4-2

Then you can put these over each other:

20-10/4-2

Then simplify

20-10/4-2 = 10/2 = 5/1 = 5

So, this means the rate of change is 5. $5 per bushel.

If you also need part B it would be helpful to see the other chart because it's hard to understand in the writing you included. :) Comment and let me know if you post it so I can help you out!

Part A: 7 dollars  

- The graph shows that 2 bushels is 14 dollars,  because the graph has a straight line, the rate remains constant you must divide the sides by two to find the amount for one bushel which would be 7 dollars.

- And to double check you would divide 28 by 4, 42 by 6, 56 by 8, 70 by 10, 84 by 11, and 98 by 12. they all equals 7 dollars So, the equation would be y = 7x.

- 7 can be known as the slope and  rate of change.

Part B:2 dollars

- The years before show 2 bushes was 10 dollars

-so you would divide 10 by two you would get five  To double check you would do the same thing with 20 by 4, 30 by 6 and 40 by 8, and they all equal 5 dollars.

-if you use this answer be sure to reword it so you dont get copy write and integrity. have a great day or night.

Answer:

1/2.25 or 4/9

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

3x6

Answer:

8k+11

Step-by-step explanation:

Combine like terms

9k-k

7+4

9k-k=8k

7+4=11

8k+11

Answer:

Step-by-step explanation:

Given the expression

√x = √2 + 1

To get x, we will have to square both sides

(√x)² = (√2 + 1)²

x = (√2 + 1)(√2 + 1)

x = √4+√2+√2+1

x = 2+2√2+1

x = 3+2√2

Hence the value of x is 3+2√2

The question is incomplete. Here is the complete question.

Pete is choosing his clothes for the day. His bottoms will be either cago shorts (C) or jeans (J). His top will be T-shirt (T), sweatshirt (S) or long sleeved shirt (L).

Which is a complete list of the possilbe outfits he can choose from?

CT, CS, CL, JT, JS, JL

CJ, CT, CS, CL

CJT, CJS, CJL

CT, TC, JS, SJ, CL, LC

Answer: CT, CS, CL, JT, JS, JL

Step-by-step explanation: The Fundamental Counting Principle is a method of determining a number of ways independents events can occur, i.e., it states that if there are t ways of doing something and w ways of doing another, then there are t x w ways of doing both things.

For example:

Peter has 2 choices of bottom and 3 choices of top. So, according to the principle, he will have 2 x 3 choices of clothing.

And the choices are:

shorts and t-shirt = CT

shorts and sweatshirt = CS

shorts and long sleeved = CL

jeans and T-short = JT

jeans and sweatshirt = JS

jeans and long sleeved = JL

The order he chooses doesn't matter.

So, the right alternative is CT, CS, CL, JT, JS, JL.

Answer:

53

Step-by-step explanation:

To add fractions find the LCD and then combine

Answer:

8.5 miles

Step-by-step explanation:

3x20=60, 60 minutes also being an hour so if you multiply 748 by 20 then it gives you 14,960 annndd now you have to divide by the amount of yards in a mile 14,960/1,760=8.5

Answer: 4 apples will go into each basket if you want all the baskets to be filled with an equal amount.

Step-by-step explanation:

100x=400

dividing through by 100 we get

x=4

Answer:

40

Step-by-step explanation:

96 ÷ 60 = 1.6

25 × 1.6 = 40

Disclaimer: Yay, okay. The person above me got the same answer so this is right.

Answer:

<A≅<Z

Step-by-step explanation:

Hope This Helps!