Keith has $500 in a saving account at the beginning of the summer. He wants to have at
least $200 in the account. He withdraws $25 from his account each week for food,
clothes, and movie tickets. ("Withdraws" means he takes money out of his account.)
How many weeks can he withdraw $25 per week and still have at least $200 in the
account?


There’s a second question to this problem:
How many weeks can Keith withdraw $25 per week and still have at least $200 in the account? Write your answer in interval notation.

Answer:

The answer is 6.

Step-by-step explanation:

This is how I do it, there are other ways too but,

add up the ratio 5+7=12

36 (students total) divided by 12 = 3

find the difference between the ratio, which is 2.

multiply 2 by 3 and you get 6.

Given:

The sequence is -8, -12, -16.

To find:

The nth and 52th term  of the given sequence.

Solution:

We have,

-8, -12, -16

It is an AP because the difference between consecutive terms are equal. Here, first term is -8 and the common difference is

[tex]r=a_2-a_1[/tex]

[tex]r=-12-(-8)[/tex]

[tex]r=-12+8[/tex]

[tex]r=-4[/tex]

The nth term of an AP is

[tex]a_n=a+(n-1)d[/tex]

Where, a is first term and d is common difference.

Putting a=-8 and d=-4, we get

[tex]a_n=-8+(n-1)(-4)[/tex]

[tex]a_n=-8-4n+4[/tex]

[tex]a_n=-4-4n[/tex]

Putting n=52, we get

[tex]a_{52}=-4-4(52)[/tex]

[tex]a_{52}=-4-208[/tex]

[tex]a_{52}=-212[/tex]

Therefore, the equation for the nth term of the given sequence is [tex]a_n=-4-4n[/tex] and the 52nd term of the sequence is -212.

Answer:

a+c=27

195a+320c=6515

Step-by-step explanation:

adult (a): 195

children (c): 320

total $: $6515

child $: 27

a+c=27 --> c=-a+27

195a+320c=6515

sub the first equation into the 2nd equation to get a=17

sub a=17 into c=-a+27 to get c=10

so, an adult ticket is $17 and a child ticket is $10.

9514 1404 393

Answer:

  33 ft²

Step-by-step explanation:

Each triangle's area is given by the formula ...

  A = (1/2)bh

  A = (1/2)(3 ft)(4 ft) = 6 ft²

The square base area is given by ...

  A = s²

  A = (3 ft)² = 9 ft²

__

The total area of the pyramid is the area of the base plus the area of four triangular faces.

  Total Area = (9 ft²) + 4(6 ft²) = (9 +24) ft²

  Total Area = 33 ft²

Answer:

78

Step-by-step explanation:

Answer:

9.33333 inches.

Step-by-step explanation:

700 / 75?

Answer:

All real numbers

Step-by-step explanation:

Here, we want to get the domain

The domain refers to the possible x values of the function

As we can see, the plot extends thoroughout the entirety of the graph

This extends from positive infinity to negative infinity

This means that the domain is all real

numbers

Answer:

no solution

Step-by-step explanation:

the lines are parallel, they never intersect.

.............

Answer:

slope is m= y_2-y_1/x_2-x_1 and the y-intercept is where the line crosses over the x-axis

Step-by-step explanation:

fill in the points and do the equation m= rise(y points)/ run(x points)

m=slope

(x_1, y_1) =coordinates of first point in the line

(x_2, y_2)=coordinates of second point in the line

Answer:

A line that crosses the y-axis but not the x must be horizontal. Therefore, it has no slope.

Answer:

The statement that is not true is;

c) m∠ABO = m∠ODC

Step-by-step explanation:

With the assumption that the lengths AO, and OD are equal, we have that in ΔABO and ΔOCD, the following sides are corresponding sides;

Segment AO on ΔABO is a corresponding side to segment OD on ΔOCD

Vertices B and C on ΔABO and ΔOCD are corresponding vertices

Therefore;

Segments AB and OB on ΔABO are corresponding sides to segments OC and OD on ΔOCD respectively

Therefore, ∠ABO on ΔABO is the corresponding angle to ∠OCD on ΔOCD

Given that ΔABO ≅ ΔOCD, we have that ∠ABO ≅ ∠OCD

Therefore;

m∠ABO = m∠OCD by definition of congruency

Answer:

Step-by-step explanation:

Answer:

explanation below

Step-by-step explanation:

f(x) = 3x + 2

f(8) : replace x with 8    f(8) = 3 * 8 + 2 = 26

g(x) = 5x

g(a+2) : replace x with a+2    g(a+2) = 5 (a+2) or 5a + 10

Answer:

2x+5=5x-1​ =2 so it sould be one soulution

Step-by-step explanation:

first of all it is not in the form of A. P because d=a2-a1=9-5=4,a3-a2=14-9=4,a4-a3=18-14=4,a5-a4=5-18= -13,a6-a5=23-5=18

Answer:

i think  

3 ,  

12

12 ,  

48

48 ,  

192

192  ,  

768

768

Answer:

hi

Step-by-step explanation:

glizzy

Answer:

Step-by-step explanation:

Area = l x w

i dont know if you are trying to find the area of the whole shape but the area of the shape all together is 25.6

Answer:

-1x or -x

Step-by-step explanation:

4 divided by -4

Answer:

Option 3

Step-by-step explanation:

SAS Triangle Congruence Theorem

Answer:

option- 3 which is sas theorum

Answer:

A

Step-by-step explanation:

We are given:

[tex]\cos(22f-1)=\sin(7f+4)[/tex]

Recall the co-function identity:

[tex]\sin(\theta)=\cos(90-\theta)[/tex]

Let θ = 7f + 4. So:

[tex]\sin(7f+4)=\cos(90-(7f+4))[/tex]

Substitute:

[tex]\cos(22f-1)=\cos(90-(7f+4))[/tex]

Remove the cosine:

[tex]\displaystyle 22f-1=90-(7f+4)[/tex]

Distribute:

[tex]22f-1=90-7f-4[/tex]

Subtract:

[tex]22f-1=-7f+86[/tex]

Add 7f and 1 to both sides:

[tex]29f=87[/tex]

Therefore:

[tex]f=3[/tex]

1c is equal

1d not equal

1b is equal

1a is not equal

Answer:

19

Step-by-step explanation:

46x0.84=38.64

That means you have to score at least a 39 to pass.

19 students have 39 or better.

Answer:

Step-by-step explanation:

Mean (Average): 8

Median (Middle): 8

Mode (Most Common): 8

Range (Biggest - Smallest): 7

Answer:

See step by step

Step-by-step explanation:

The student found the cosine of angle A not the sine. Sine is Opposite/Hypotenuse. This student found Adjacent/Hypotenuse. The correct answer is Sin A= 12/13.

Answer:

It is 5mmxb3m

Step-by-step explanation:

It is what it is