Write an equation for this tape diagram 6th grade math help pls thanks if you do

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:

4+5=9

27÷9=3

they sold 3 types of each because if you do 3×5=15 and 3×4=12 and add 12 and 15 you get 27.

Answer:

is two more than the row before

Step-by-step explanation:

i hope i help\

Answer:

D

Step-by-step explanation:

Which expression has a lesser value than -10?

a. 8+ (-12)= -4

b. – 14 – 2 + 8= -16+8= -8

c. 4-(-12)= 16

d. - 2 +(- 12) + 2 = -12

Answer:

Step-by-step explanation:

a.

8 +(-12) = 8-12 = -4

-4 > -10

b.

14-2+8 = 12+8 = 20

20 > -10

c.

4-(-12) = 4+12 = 16

16 > -10

d.

-2+(-12)+2 = -2-12+2 = -14+2 = -12

-12 < -10

Answer:

180-138

=42, is the answer

Answer:

a9

Step-by-step explanation:

Answer:

Step-by-step explanation:

AC² + AP² = PC²

AC² + 5² = 13²

AC = 12

radius = AC/2 = 6

Complete question is missing, so i have attached it.

Answer:

Yes, they are all correct

Step-by-step explanation:

From the attached image, we see that the sign is showing;

Parking lot: ¾ miles

Summit: 1½ miles

Summit distance can also be expressed as an improper fraction = 3/2 miles

Now, since they started hiking from the park to the summit, it means that they had moved ¾ mile from the parking lot and had 3/2 miles left to get to the summit.

Thus, total distance from parking lot to summit = ¾ + 3/2 = 9/4 miles

Now, let's analyze each of their statements;

Mai said they are a third of their way there.

They had covered 3/4 mile and the total distance is 9/4 miles.

Thus, fraction of total distance covered is;

9/4 ÷ 3/4 = 1/3.

So, Mai is correct

Clare said they have to go twice as far as they had already gone.

They had covered 3/4 miles.

Therefore, twice this = 2 × 3/4 = 6/4 = 3/2 which is same as the sign distance left to the summit.

Thus, Clare is correct

Tyler said that the total hike is three times as long as what we have already gone.

They had gone 3/4 miles

3 times this = 3 × 3/4 = 9/4 miles.

This tallies with the total distance calculated earlier.

Thus, they are all correct

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:

2/10 or 1/5

Step-by-step explanation:

There are a total of 10 ducks, and only 2 have green dots.

So the probability would be 2 / 10, which simplifies to 1 / 5.

Greatest common factor of 2 and 10: 2

So: 2 ÷ 2 = 1

10 ÷ 2 = 5

Answer:

25%

hope this helps

Answer:

either c or b that's what I think

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:

z=5

Step-by-step explanation:

Answer:

[tex]x = \frac{5}{3} [/tex]

Step-by-step explanation:

the value of x is 20 that's it good luck

Step-by-step explanation:

6c + c + 10 + c + 10 = 180

8c = 160

c = 20

Answer:

Step-by-step explanation:

Answer 12.9

Answer:

b.) 6

Step-by-step explanation:

2^6 = 64 because 2 * 2 * 2 * 2 * 2 * 2 = 64.

Answer: 13

Step-by-step explanation:

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:

y=1/4x+250

Step-by-step explanation:

Answer:

y = 12.5x + 250

Step-by-step explanation:

(4,300) , (8,350)

m = 350 - 300 / 8 - 4 = 25/2 = 12.5

y - 300 = 12.5(x - 4)

y - 300 = 12.5x - 50

y = 12.5x + 250

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:

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:

131m/210 I THINKKKKK

Step-by-step explanation:

RNDJDJDJSJD

Answer:

iii. (l + m - n)(l - m + n)

vi. (5a -b) ( 5b - a)

Step-by-step explanation:

iii. l² - (m - n)²

= (l + m - n)(l - m + n)

vi. 4(a+b)² - 9(a-b)²

= (2(a+b))² - (3(a-b))²

= (2(a+b) + 3(a-b)) (2(a+b) - 3(a-b))

= (2a+2b + 3a - 3b) (2a+2b - 3a + 3b)

= (5a -b) ( 5b - a)

Q. 1) l²- (m - n)²

=(l - m + n)(l + m - n)

Q.2) 4(a+b)²- 9(a-b)²

= [(2(a+b))²- (3(a-b))²]

=[2(a+b)+3(a-b)][ 2(a+b)-3(a-b)]

=[2a+2b+3a-3b][2a+2b-3a+3b]

=[5a-b][5b-a] ]