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motikmotik
3 years ago
13

A candle is 17 in. tall after burning for 3 hours. After 5 hours, it is 15 in. tall. Write a linear equation to model the relati

onship between height h of the candle and time t. Predict how tall the candle will be after burning 8 hours.
Mathematics
1 answer:
AfilCa [17]3 years ago
8 0
Let x = time of burn , y = length 
<span>x = 3 , y = 17 </span>
<span>x = 5 , y = 15 </span>
<span>m = (15 - 17)/(5 - 3) = -2/2 = -1 </span>
<span>y - 17 = -1(x - 3) </span>
<span>y = -x + 20 </span>

<span>at x = 8 => y = 12 in   Hope it Helps :)</span>
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Solve the inequality:<br> 3(k + 2) -3 &lt; 15
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Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

k < 4

Interval Notation:

(−∞, 4)

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Answer:

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3 0
3 years ago
Help me fill in the blanks please help
agasfer [191]

The missing values in the inequality problem are;

A = -9

B = 72

C = 22

<h3>What is the explanation for the above?</h3>

5p - 8 (p + 1) > 16 .........................   (1) Given

5 (-10) - 8 (-10 +1) > 16 ...................... (2) Given

Where P is equal to 10 [Given in the second line as given in equation 2 above; Hence,

Substitute 10 for p

⇒ 5 (-10) - 8(-10+1)>  16

⇒ -50 -8(-9) > 16

⇒ -50 + 72 > 16

Hence

22 > 16 → T

Please note that T is symbolic of "True" that is

it is true that 22 is greater than 16.

Learn more about inequality problems:

brainly.com/question/11613554

#SPJ1

3 0
2 years ago
Help. Really important!!
Lerok [7]

Answer:

First on is £12 cuz when the mile is 0, it starts with 12.

Second is £28 (I think)

6 0
3 years ago
(Annuity number of​ periods) ​You've just bought a new​ flat-screen TV for ​$3,400 and the store you bought it from offers to le
AleksAgata [21]

9514 1404 393

Answer:

  2.5 years

  $736 in interest

Step-by-step explanation:

The relationship between the values in an amortization is ...

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

Here, we have A = 140, P = 3400, r = 0.16 and we want to find t

  140 = 3400(0.16/12)/(1 -(1 +0.16/12)^(-12t))

  1 -(1 +0.16/12)^(-12t) = 1/3.0882353

  (1 +0.16/12)^(-12t) = 0.67619048

Taking logarithms gives ...

  -12t·log(1 +0.16/12) = log(0.67619048)

  t = log(0.67619048)/(-12·log(1+0.16/12)) ≈ 2.46177

It will take about 2.5 years to pay off the loan.

__

The total of payments is ...

  (2.46177)(12)($140) = $4135.77

so, the interest paid is ...

  $4135.77 -3400 = $735.77

You will pay about $736 in interest over the life of the loan.

_____

<em>Additional comment</em>

The number of payments is calculated to be about 29.54. You would probably make 30 payments, with the last payment being a different amount than $140. The actual amount will depend on when the payment is made, and the amount of it that is finance charge. We believe the remaining balance after 29 payments will be $75. After a full month, the finance charge due on that amount is $1.00, bringing the total amount of interest paid to $736.

If the loan is paid off in the middle of the month, the interest due is reduced. Above, we have calculated interest based on a last payment made part way through the month. We rounded up, partly because of the ambiguity in the final payment.

4 0
2 years ago
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