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bazaltina [42]
3 years ago
15

At a university, Todd deposits $100 into his cafeteria account. He spends $5 on dinner every day. Seth deposits $140 into his ac

count. He spends $5 on lunch and $5 on dinner every day. After how many days will Todd and Seth have the same amount of money in their accounts? 16 8 4 2
Mathematics
1 answer:
wolverine [178]3 years ago
7 0

Answer:

The answer is 8 days.

Step-by-step explanation:

By applying the correct equations to Todd and Seth's balances for each day we end up with Todd and Seth having an equal balance in their accounts by day 8, alternatively, we can show that Todd and Seth have the same amount of money in their accounts by day 8 with this table

Day - Todd - Seth

1     -  95     - 130

2    -   90    - 120

3   -    85    -  110

4    -   80    -   100

5    -  75    -   90

6  -    70   -    80

7  -    65    -   70

8 -     60   -    60

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laiz [17]

Which is equivalent to P(z\geq 1.06)

Solution:  The equivalent expression for P(z\geq 1.06) is 1-P(z\leq 1.06)

<u>Explanation:</u>

The complement rule of probability states that the sum of the probabilities of an event and it's complement mus equal to 1.

Let A be an event and A^{'} be its complement. Then using the complementary rule, we have:

P(A)+P(A^{'})=1 \implies P(A^{'})= 1-P(A)

Using the same complementary rule in the given example:

We have:

P(z\geq 1.06) + P(z

P(z\geq 1.06)=1-P(z

Therefore, the equivalent expression for P(z\geq 1.06) is 1-P(z< 1.06)

3 0
3 years ago
Read 2 more answers
Using n = 3.14, find the area of a circle with a radius of 16.
KATRIN_1 [288]

Answer:

803.84=A

Step-by-step explanation:

The area of a circle can be found by using the equation \pi r^{2}=A.

\pi r^{2}=A

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(3.14)(256)=A

803.84=A  and the units are, how ever the radius is measured cubed

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3 years ago
F(x)=-4x - 10 find x when f(x)=10
BARSIC [14]

Answer:

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Step-by-step explanation:

f(10)=-4(10)

f(10)=-40

4 0
3 years ago
Number 6 I need help on pleaseeeeeeeeeeeeeeeeeeeee
Rainbow [258]
The awnser would be c or 54 in that case

5 0
3 years ago
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What is 4²(4²)? <br> 2. 5⁴(5)÷2¹? <br> 3. (5+3)²? <br> Solve the following expressions
Nat2105 [25]

Answer:

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