Use the budget below to answer questions 4-5.
Pate's $2,500 monthly budget breakdown is shown in the chart below.
Ceil
CATEGORY Rent
Cor
Utilities
Food
phone
payment
AMOUNT $1,000 $175 $75 $350 $200
Savings
Other
spending
$400
$300
4. Which of the following is a true statement
regarding Patel's monthly budcet?
5. Which of the following best represents
the percentage of Patei's budget that is
designated for other spending?
A. More than 50% of Patel's budget is spent
on rent.
B. Patel is soving more than 10% of her
monthly income
A. 20%
B. 12%
C. 16%
D. 30%
C. Patei's cor payment and other spencing
account for more than 25% of her monthly
income.
D. Patel is spending more than 10% of her
monthly income on her car poyment.

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

the radius is 2 times the diameter.

step-by-step explanation:

60: 45 =12: 9 =4: 3 so the answer is 4: 3

the answer is 1,118,210 lol