need help pls geometry question

Answer:

a) Initial (Base) a[tex]_0[/tex] = 30000

b) the monthly payment needs to $150

Step-by-step explanation:

Given the data in the question;

a. Give a recursive definition for a,. including the recurrence relation and the base case.

the annual interest on the loan is 6% compounded monthly;

⇒ i = 6% / 12

i = 0.5%

so, the recurrence relation is a[tex]_n[/tex] = a[tex]_{n-1}[/tex]( 1 + i/100) - 600

Here Initial (Base) a[tex]_0[/tex] = 30000

b) Suppose that the borrower would like a lower monthly payment. How large does the monthly payment need to be to ensure that the amount owed decreases every month

Let p be the required monthly payment,

then the condition will be;  a[tex]_n[/tex] ≤ a[tex]_{n-1}[/tex]

a[tex]_{n-1}[/tex]( 1 + i/100) - p ≤ a[tex]_{n-1}[/tex]

a[tex]_{n-1}[/tex]( 1 + i/100) - a[tex]_{n-1}[/tex] ≤ p

a[tex]_{n-1}[/tex]( 1 + i/100 - 1) ≤ p

a[tex]_{n-1}[/tex](  i/100 ) ≤ p

a[tex]_{n-1}[/tex] ≤ p ( 100/i )

a[tex]_{1-1}[/tex] ≤ p ( 100/0.5 )

a[tex]_0[/tex] ≤ p (200)

we know that; a[tex]_0[/tex] = 30000

so

30000 ≤ p (200)

p  ≤  30000 / 200

p  ≤  150

Therefore, the monthly payment needs to $150

Answer:

1619.25

Step-by-step explanation:

25500 x 6.35 % = 1619.25

Answer:

4 POUNDS OF FLOUR

Step-by-step explanation:

The number of cups of flour he added is 4.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Bowl weight = 1(1/2) pounds

Number of cups of flour weight = x pounds

Now,

Total weight = 2(3/4) pounds

1(1/2) + x = 2(3/4)

x = 11/4 - 3/2

x = (11 - 6)/4

x = 5/4

Now,

Weight of each cup of flour = 5/16 pounds

Now,

The number of cups of flour.

= 5/4 ÷ 5/16

= (5 x 16) / (4 x 5)

= 4

Thus,

The number of cups of flour is 4.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer: a, 7ft

Step-by-step explanation:

Answer:

Answer A

Step-by-step explanation:

Answer:

a9

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 in 2:3 is the amount of blue paint

3 in 2:3 is the amount of yellow paint

Figure out how many times to multiply 2 to get 16:

16/2=8

Now, multiply 3 by 8, which would be equal to 24.

Ratio: 16:24

Answer:

is it 24

Step-by-step explanation:

twice of a number thats 12???

dont use answer unless your sure

Answer:

Step-by-step explanation:

Answer 12.9

Answer:

is two more than the row before

Step-by-step explanation:

i hope i help\

Answer:

6x + 12 - (3x - 7)

6x + 12 - 3x + 7

3x + 19

Step-by-step explanation:

Simplifying

6x + 13 + -3x + -7 = 0

Reorder the terms:

13 + -7 + 6x + -3x = 0

Combine like terms: 13 + -7 = 6

6 + 6x + -3x = 0

Combine like terms: 6x + -3x = 3x

6 + 3x = 0

Solving

6 + 3x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.

6 + -6 + 3x = 0 + -6

Combine like terms: 6 + -6 = 0

0 + 3x = 0 + -6

3x = 0 + -6

Combine like terms: 0 + -6 = -6

3x = -6

Divide each side by '3'.

x = -2

Simplifying

x = -2

Answer:

131m/210 I THINKKKKK

Step-by-step explanation:

RNDJDJDJSJD

Answer:

Someone gave me da link to dis

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

his he had lost 12 of his marbles then he would only have 12 left to begin with.

to do this we can do the equation:

24/0.5 (the 0.5 is the represent that the 24 marbles had been split into two, a half for each party)

this would then give use our quotient of 12 marble he had lost

Answer:

Step-by-step explanation:

n=3p, d=p-2

10d+5n+p=110 using n and d from above makes this become

10(p-2)+5(3p)+p=110

10p-20+15p+p=110

26p-20=110

26p=130

p=5

n=3p=3(5)=15

d=p-2=5-2=3

So she has 3 dimes, 15 nickels, and 5 pennies.

Answer:

15 x 5 = 75 x 5 = 375

Step-by-step explanation:

Not sure what you were saying but its just some spelling errors but i think i did what you said. You multiply the product of it to 5.

Answer:

) -x*+5x=5. & x*-} x + 2x + x +4. 22 / 3 x ² - 1 / 8x + 5 x² { x + 5. --** - *-3.

Answer: y= 2x^3

Step-by-step explanation:

8 × 9 = 72

33 + 72 = 105

The answer is 105

31 - 20 = 11

11 × 3 = 33

The answer is 33

102 - 6 = 8 - 5

102 - 6 = 96

96 = 8 - 5

8 - 5 = 3

96 = 3

93 = 3 is false so therefor, this equation has no solution.

4th Equation:

102 = 12 + 4 × 7 - 2

4 × 7 = 28

102 = 12 + 28 - 2

12 + 28 = 40

102 = 40 - 2

40 - 2 = 38

102 = 38

102 = 38 is false so, it means that this equation has no solution.

Answer:

10 fifths

Step-by-step explanation:

Answer:

There are 2 halves in a whole. There are 3 thirds in a whole. There are 4 quarters in a whole. There are 5 fifths in a whole.

Step-by-step explanation:

I guess 0.4 times?

Answer:

The Last One

Step-by-step explanation:

Hope This Helps ; )

Answer:

2/6

Step-by-step explanation:

[tex] {x}^{2} = {24}^{2} - {23}^{2} \\ \\ {x}^{2} = 576 - 529 \\ \\ {x}^{2} = 47 \\ \\ x = \sqrt{47} [/tex]

Answer:

Step-by-step explanation:

AC² + AP² = PC²

AC² + 5² = 13²

AC = 12

radius = AC/2 = 6

Answer:

my best guess would be B but I am so sorry if its incorrect

Answer:

33.3

Step-by-step explanation:

Reference angle = 39°

Opposite = 27

Adjacent = x

Apply TOA. Thus:

Tan 39 = Opp/Adj

Tan 39 = 27/x

x * Tan 39 = 27

x = 27/Tan 39

x = 33.3422232 ≈ 33.3 (nearest tenth)

Answer:

25%

hope this helps

Answer:

1) SA = 2(wl + hl + hw) = 2(12*2 + 12*6 + 6*2) = 2(24 + 72 + 12) = 2(108) = 216

2) SA = (6*4)/2 + 6*11 + 2(5*11) = 12 + 66 + 110 = 188

3) SA = 2(6*12 + 14*12 + 6*14) = 648

4) (9*12)/2 + 15*6 + 9*6 + 12*6 = 54 + 90 + 54 + 72 = 270

5) 2(16*9 + 4*9 + 16*4) = 488

6) SA = 2πrh+2πr^2 = 2*3.14*10*16 + 2*3.14*10^2 = 1004.8 + 628 = 1632.8

7) SA = 2(7*7 + 14*7 + 7*14) = 490

8) SA = 2πrh+2πr^2 = 2*3.14*7*11 + 2*3.14*7^2 = 483.56 + 307.72 = 791.28

9) (12*10)/2 + 2(14*13) + 14*10 = 60 + 364 + 140 = 564

Answer:Answer:

1) SA = 2(wl + hl + hw) = 2(12*2 + 12*6 + 6*2) = 2(24 + 72 + 12) = 2(108) = 216

2) SA = (6*4)/2 + 6*11 + 2(5*11) = 12 + 66 + 110 = 188

3) SA = 2(6*12 + 14*12 + 6*14) = 648

4) (9*12)/2 + 15*6 + 9*6 + 12*6 = 54 + 90 + 54 + 72 = 270

5) 2(16*9 + 4*9 + 16*4) = 488

6) SA = 2πrh+2πr^2 = 2*3.14*10*16 + 2*3.14*10^2 = 1004.8 + 628 = 1632.8

7) SA = 2(7*7 + 14*7 + 7*14) = 490

8) SA = 2πrh+2πr^2 = 2*3.14*7*11 + 2*3.14*7^2 = 483.56 + 307.72 = 791.28

9) (12*10)/2 + 2(14*13) + 14*10 = 60 + 364 + 140 = 564

Step-by-step explanation:

Answer:

-228

Step-by-step explanation:

I Used the given functions to set up and simplify f(-6)

Hope this helps:)

Answer: 13

Step-by-step explanation:

Answer:

z=5

Step-by-step explanation: