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Luden [163]
2 years ago
5

The median home price in the United States over the period 2003-2011 can be approximated by P(t) = −5t2 + 75t − 30 thousand doll

ars (3 ≤ t ≤ 11), where t is time in years since the start of 2000.† Find P'(t) and P'(5).
Mathematics
1 answer:
rjkz [21]2 years ago
5 0

Answer:

P'(t) = -10t + 75 and P'(5) = 25.

Step-by-step explanation:

We are given that,

The median home price is represented by the function, P(t) = -5t^2 + 75t -30.

So, differentiating the function with respect to 't', we get,

P'(t) = -5\times2t + 75

i.e. P'(t) = -10t + 75

So, after subsituting 't=5', we get,

P'(5) = -10\times 5+75

i.e. P'(5) = -50+75

i.e. P'(5) = 25

Hence, we get,

P'(t) = -10t + 75 and P'(5) = 25.

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Answer:

The 1st error that Carlos made was in Step 2...

In step 2 , Carlos multiplied 14 only with 40. If he would have multiplied 14 with both 40 & 9 , then it could have been alright.....

3 0
2 years ago
Katherine is landscaping her home with juniper trees and pansies. She wants to arrange 15 pansies around each of 8 trees. Each t
Doss [256]
Let
X-----------------> number of pansies
y-----------------> number of trees

we know that
x=15*8----------> x=120 pansies
y=8 trees

cost of each trees is----------> $<span>20.75
</span>cost of each pansies is------> $2.50/6------> $5/12

[<span>expression to find Katherine’s final cost]=[cost trees]+[cost pansies]
</span>[cost trees]=y*$20.75
[cost pansies]=x*($5/12)   

[expression to find Katherine’s final cost]=y*($20.75)+x*($5/12)
[expression to find Katherine’s final cost]=8*($20.75)+120*($5/12)

[expression to find Katherine’s final cost]=$166+$50
[expression to find Katherine’s final cost]=$216

the answer is 
[expression to find Katherine’s final cost]=y*($20.75)+x*($5/12)
[expression to find Katherine’s final cost]=8*($20.75)+120*($5/12)

Katherine’s final cost is $216
5 0
2 years ago
Read 2 more answers
Gary's salary varies directly as the number of days he works. If his salary for five days is $52.00, how much would it be for 12
Viktor [21]

Answer:

124.8

Step-by-step explanation:

52 divided by 5 = 10.4

then, multiply by 12 = 124.8

8 0
1 year ago
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mafiozo [28]

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Explanation:

One important factor when designing questions in research is to avoid any language that might influence the answers of respondents. This recommendation was not followed in the question "Eating too many sugary foods leads to cavities. Would you rather have soda or water served with your meal?" because mentioning sugary foods, which includes soda, leads to cavities will make respondents consider soda is negative and they are more likely to choose water. This implies the wording in the question influences respondents and introduces bias, which is inappropriate. Thus, the correct answer is B.

3 0
2 years ago
-4x = -1/2 ( 10x + 18 ) can anyone coment
Ksju [112]
-4x = -5x - 9
9 = x

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2 years ago
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