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likoan [24]
2 years ago
10

Tyrone is comparing two checking accounts. One has a monthly fee of $5 and a per-check fee of $0.25, and the other has a monthly

fee of $6 and a per-check fee of $0.15. What is the minimum number of checks Tyrone needs to write for the second bank to be a better option?
Mathematics
2 answers:
azamat2 years ago
6 0

The Answer is 11 thats APEX ANSWER

Law Incorporation [45]2 years ago
5 0

You would need to write at least 11 checks for the second one to be a better option.

Since the first has a lower base cost, we know it is cheaper to start. So, we have to find out when they become even. To do so, we need an equation for both banks. We can model the first one using 5 + .25x (where x is the number of checks) and the second as 6 + .15x. Now we can set them equal to find when they are even.

5 + .25x = 6 + .15x -----> subtract 5 from both sides

.25x = 1 + .15x -----> subtract .15x from both sides

.10x = 1 -----> multiply both sides by 10

x = 10

Since they are even at 10 and better for bank 1 before that, they are all better for bank 2 afterwards.

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A Shampoo Problem: A bottle contains 25.4 fluid ounces of shampoo. Katie uses 0.25 of the bottle. How much shampoo is left? a. I
kotykmax [81]

Answer:

a) There is no a word problem for both expressions (m = 0.25\cdot 25.4 and m = 25.4-0.25), b) A bottle contains 25.4 fluid ounces of shampoo. Katie uses 0.75 of the bottle. How much shampoo is left? A bottle contains 25.4 fluid ounces of shampoo. Katie uses 0.25 fluid ounces of the bottle. How much shampoo is left?

Step-by-step explanation:

a) The shampoo problem is a word problem for:

(Final content) = (Initial content) - (Used content)

Then,

m = 25.4 - 0.25\cdot 25.4

Or:

m = 0.75\cdot 25.4

Hence, there is no a word problem for both expressions (m = 0.25\cdot 25.4 and m = 25.4-0.25).

b) The word problem for m = 0.25\cdot 25.4 is:

A bottle contains 25.4 fluid ounces of shampoo. Katie uses 0.75 of the bottle. How much shampoo is left?

The word problem for m = 25.4-0.25 is:

A bottle contains 25.4 fluid ounces of shampoo. Katie uses 0.25 fluid ounces of the bottle. How much shampoo is left?

7 0
2 years ago
Bob withdrew money from an ATM, put the receipt in an envelope, and filled in the information in his check register.
lora16 [44]

Answer:It is important to record each transaction so Bob knows how much money is in his account. That prevents being overdrawn. Recording debits and deposits helps with budgeting. It is good to keep receipts in case of any bank errors.

Step-by-step explanation:

5 0
1 year ago
Read 2 more answers
Jamal is comparing his transportation options for an upcoming trip. He’s considering a rental car and a taxi service. Based on h
Blizzard [7]

Answer:

Graph A

Step-by-step explanation:

Say that the car rental rate stands for c dollars ( $ ). We know that Jamal's trip lasts for 4 days, paying $ 24 in expenses for gas, and $ 128 for taxi services. Based on these requirements for his trip the question asks for a graph that models this situation, but lets start with the inequality.

______

The big key here is the part " which graph shows the range of car rental rates that would be cheaper than the taxi service. " Our inequality must thus have the variable " c " on the same side as the payment for gas ($ 24 ), and must be less than the taxi service ( $ 128 ), or in other words a less than sign. Another point is the car rental rate. We know it stands for c, but it is dependent on the number of days. Hence we can conclude the following inequality,

24 + 4c < 128 - Subtract 24 from either side,

4c < 104 - Divide by 4 on either side, isolating c,

c < 26

The range of car rental rates that would be cheaper than the taxi service should be { c | 0 ≤ c < 26 }, knowing variable c stands for the car rental rates.

______

The graph that models this range should be the first one, option A. This graph is not accurate however, as it extends infinitely in the negative direction, and you can't have negative money, or rather be in debt - in this situation.

6 0
2 years ago
A geometry teacher asked Charlene to define “acute triangle.” Charlene said that an acute triangle is a triangle whose three int
Slav-nsk [51]
By definition we have to:
 Acute triangle - It is a triangle that has all acute angles. An acute angle is one whose degree of measurement is less than 90.
 Therefore, Charlene's definition is correct.
 Charlene said:
 triangle is a triangle whose three interior angles have measures less than 90 °
 Answer:
 C.Yes, because this definition fits all acute triangles and does not fit triangles that are not acute.
4 0
2 years ago
Hi. Please I need help with this :
ki77a [65]

Answer:

1.79553

Step-by-step explanation:

Step 1: Write expression

log₁₀(√(69.5² - 30.5²))

Step 2: Evaluate square root

log(√(4830.25 - 930.25))

log(√3900)

log(62.45)

Step 3: Find log

log₁₀ (or log)

log(62.45) = 1.79553

-------------------------------------

To use the table method. we find values that are easily evaluated by log₁₀

log₁₀(10) = 1

log₁₀(50) = 1.69897

log₁₀(100) = 2

So we know that log₁₀(62.45) is between 1 and 2 and greater that 1.69897.

3 0
2 years ago
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