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dsp73
2 years ago
9

Which option can be modeled by a linear function?

Mathematics
1 answer:
Murljashka [212]2 years ago
4 0

Answer:

adding $2 to a piggy bank each week

Step-by-step explanation:

just took that checkpoint

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Twenty one children and three teachers went to the movies. The total bill was $105. The price for
MrRissso [65]

Answer:

c = price of child ticket = $4.25

a = price of adult ticket = $4.25 + $1.00 = $5.25

Step-by-step explanation:

A child ticket costs c and an adult ticket costs a = c + 1.

21 children pay c dollars each for admission, and

3 teachers pay c + 1 dollars each for admission.

Thus,

21c + 3(c + 1) = $105, and

21c + 3c + 3 = $105, so that:

24c = $102

c = price of child ticket = $4.25

a = price of adult ticket = $4.25 + $1.00 = $5.25

3 0
3 years ago
Given that ƒ(x) = x² + 4x, evaluate ƒ(-2)
Amiraneli [1.4K]
F(-2)=(-2)2+4(-2)
4-8
-4
3 0
3 years ago
Read 2 more answers
((60 points to whoever answers all of these))
Readme [11.4K]
1. 9^2

2. 15^3

3. 14^3

4. 11^5

5. 16^4
3 0
3 years ago
Read 2 more answers
Sofias gym membership is $275 per year in addition to an annual locker fee of $95. What is the monthly fee?
Stels [109]
275+95= 370
370/12= $30.88
5 0
3 years ago
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Fiona invested $1000 at 7% compounded continuously. At the same time, Maria invested $1100 at 7% compounded daily. How long will
Natali [406]

9514 1404 393

Answer:

  14,201 years

Step-by-step explanation:

The two compound interest formulas are ...

  A = P·e^(rt) . . . . . continuous compounding at rate r for t years

  A = P·(1 +r/365)^(365t) . . . . . daily compounding at rate r for t years

We went the amounts to be equal:

  1000·e^(0.07t) = 1100·(1+0.07/365)^(365t)

Dividing by 1000(1 +0.07/365)^(365t), we have ...

  ((e^0.07)/(1+0.07/365)^365)^t = 1.1

The base of the exponential on the left is ...

 ( e^0.07)/(1+0.07/365)^365 ≈ 1.00000671149321522

Taking logs, we have ...

  t×ln(1.00000671149321522) = ln(1.1)

  t = ln(1.1)/ln(1.00000671149321522) ≈ 0.09531018/(6.7114704·10^-6)

  t ≈ 14,201.09 . . . . . years

It will take about 14,201 years for the investments to be equal.

_____

<em>Additional comment</em>

The investment value at that time will be about $5.269·10^434. (That's a larger number than <em>anything</em> countable in the known universe, including energy quanta.)

These calculations are beyond the ability of many calculators, so might need to be carefully rewritten if the calculator only keeps 10 significant digits, or only manages exponents less than 100.

This shows that daily compounding is very close in effect to continuous compounding. It would take almost 150 years to make a difference of 0.1% in value.

4 0
3 years ago
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