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Paladinen [302]
3 years ago
8

Emilio writes the inequality 17(f+2)+45.99<200 The situation using the variable as to represent the number of friends solve a

ny quality then write the maximum number of friends that can attend the birthday party
Mathematics
1 answer:
larisa [96]3 years ago
7 0

Answer:

7 friends

Step-by-step explanation:

Given the inequality expression

17(g+2)+45.99<200

We are to find the value of g that satisfies the inequality

Expand

17g+34 +45.99<200

17g+79.99<200

Subtract 79.99 from both sides

17g+79.99-79.99<200-79.99

17g<120.01

g<120.01/17

g<7.059

Hence the max number of friend that can attend is 7friends.

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Tariq bought a new mazda for $18600. He wants to sell it in some years' time. Using the declining balance method of depreciation
erik [133]

Answer:

  7 years

Step-by-step explanation:

The depreciation rate of 12% using the declining balance method means the car is worth 12% less at the end of the year than it was worth at the beginning. That is, each year the value is multiplied by (1 -12%) = 0.88. So, after n years, the value has been multiplied by 0.88^n.

We want to find n such that ...

  7600 = 18600·0.88^n

  7600/18600 = 0.88^n

  log(76/186) = n·log(0.88)

  log(76/186)/log(0.88) = n ≈ 7.00

It will take 7 years for the value of the car to decline to $7600.

_____

<em>Comment on declining balance depreciation</em>

Often, you will see declining balance depreciation specified in terms of an acceleration factor (often 150% or 200% ("double declining balance")) and a useful life. As with any depreciation, what is depreciated is the difference between the initial value and the salvage value. The percentage rate quoted above is essentially calculated as ...

  (acceleration factor)/(useful life) = depreciation rate per year

One way to get a 12% depreciation rate is using an acceleration factor of 150% and a useful life of 12.5 years (with a salvage value of 0).

6 0
3 years ago
At a local sandwich shop the average customer spends $25 at dinner with a standard deviation of $2.30. In a simple random sample
oee [108]

Answer:

The probability that the mean receipt for dinner is between $24.50 and $25.50 is

P(24.50≤ x ≤ 25.50)= 0.8324

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given mean of Population(μ) = $25

Given standard deviation of the Population  (σ) = 2.30

Sample size 'n' = 40

Let 'X' be the random variable in normal distribution

Given X₁ = 24.50

Z_{1} =\frac{x-mean}{\frac{S.D}{\sqrt{n} } } = \frac{24.50-25}{\frac{2.30}{\sqrt{40} } } = -1.375

Given X₂ = 25.50

Z_{2} =\frac{x-mean}{\frac{S.D}{\sqrt{n} } } = \frac{25.50-25}{\frac{2.30}{\sqrt{40} } } = 1.3751

<u><em>Step(ii):-</em></u>

The probability that the mean receipt for dinner is between $24.50 and $25.50

P(x₁≤ x ≤ x₂) = P(Z₁≤ z ≤ Z₂) = A(Z₂) + A(z₁)

P(24.50≤ x ≤ 25.50) = P(-1.375≤ z ≤ 1.375) = A(1.375) + A(1.375)

P(24.50≤ x ≤ 25.50)= 2 A( 1.375)

                               = 2 × 0.4162 ( from normal table)

                              = 0.8324

<u><em>Final answe</em></u>r:-

The probability that the mean receipt for dinner is between $24.50 and $25.50 is 0.8324

4 0
3 years ago
Some students are keeping track of how much money they earn and spend in one week. Use the table below to answer the following q
son4ous [18]

Answer:

7 TIMES

Step-by-step explanation:

BECAUSE THERE IS 7 DAYS IN A WEEK

5 0
3 years ago
Two people apply for loans of the same amount. Due to differences in their credit scores, their payments differ by $72
kati45 [8]

Answer:

\large \boxed{\text{d) \$2592 }}

Step-by -step explanation:

The person with the lower credit score pays $72 more each month.

Over 36 mo, they will pay an extra

\text{Total amount} = \text{36 mo} \times \dfrac{\text{\$72}}{\text{1 mo}} = \textbf{\$2592}\\\\\text{The person with the lower credit score will have paid an extra $\large \boxed{\mathbf{\$2592 }}$}

7 0
4 years ago
44 points...<br> Multiply.<br> 3/5⋅3/4<br><br> a 9/20<br><br> b 4/10<br><br> c 4/5<br><br> d 5/4
enyata [817]

Answer:

the answer is a

Step-by-step explanation:

3 times 3 is 9, 5 times 4 is 20

9/20

3 0
3 years ago
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