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postnew [5]
3 years ago
15

PROBLEM #1

Mathematics
1 answer:
lesantik [10]3 years ago
8 0

Answer:

  • 500 - 25w ≥ 200

Explanation:

Translate every verbal statement into an algebraic statement,

<u>1. Keith has $500 in a savings account at the beginning of the summer.</u>

  • Initial amount: 500

<u>2.  He wants to have at least $200 in the account by the end of summer. </u>

<u />

  • Final amount ≥ 200

<u>3. He withdraws $25 a week for his cell phone bill.</u>

<u />

  • Call w the number of weeks
  • Withdrawls = 25w

<u>4. Write an inequality that represents Keith's situation.</u>

  • Create your model: Final amount = Initial amount - withdrawals ≥ 500

  • 500 - 25w ≥ 200

With that inequality you can calculate how many week will pass before his account has less than the amount he wants to have in the account by the end of summer:

  • 500 - 200 ≥ 25w
  • 300 ≥ 25w
  • 300/25 ≥ w
  • 12 ≥ w
  • w ≤ 12

That represents that he can afford spending $ 25 a week during 12 weeks to have at least $ 200 in the account.

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Misha Larkins [42]
A=p(1+i/m)^mn
A=11,700×(1+0.039÷4)^(4×18)
A=23,527.94
8 0
3 years ago
On a coordinate plane, a line goes through (0, negative 3) and (3, negative 2). A point is at (negative 4, 2).
bulgar [2K]

Answer:

Correct option: first one -> y = (1/3)x + (10/3)

Step-by-step explanation:

The linear function that represents a line is:

y = ax + b

Where a is the slope and b is the y-intercept.

First we need to find the slope of the line that goes through (0, -3) and (3, -2).

Using both points, we can find the equation of the line:

x = 0 -> y = -3

-3 = a*0 + b

b = -3

x = 3 -> y = -2

-2 = 3a - 3

3a = 1

a = 1/3

The parallel line needs to have the same slope as the line, so we can model the parallel line with the following equation:

y = (1/3)x + b

The parallel line goes through the point (-4, 2), so we have:

x = -4 -> y = 2

2 = (1/3)*(-4) + b

b = 2 + (4/3)

b = 10/3

So the equation of the parallel line is:

y = (1/3)x + (10/3)

Correct option: first one

5 0
3 years ago
Roy is twice as old as Joan, and in 3 years the sum of their ages will be 21 years. Find their present ages.
Lisa [10]

Answer:

Roy is 10 years old at present and Joan is 5 years old at present

Step-by-step explanation:

Let

x----> Roy's age

y----> Joan's age

we know that

x=2y ----> equation A

(x+3)+(y+3)=21 ----> equation B

substitute equation A in equation B

(2y+3)+(y+3)=21

solve for y

3y+6=21

3y=21-6

3y=15

y=5 years

Find the value of x

x=2y  ----> x=2(5)=10 years

therefore

Roy is 10 years old at present

Joan is 5 years old at present

8 0
3 years ago
What is the volume of a square pyramid with a base side length of 9 and a height of 11.
andre [41]
V = 297 for a square pyramid, I hope its right..
3 0
3 years ago
Read 2 more answers
Please help! I will mark as brainliest IF answer is right. &lt;3
kramer

Step-by-step explanation:

Domain x belongs to [-4 , 0]

Range y belongs to [-4 , 4]

6 0
3 years ago
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