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Leno4ka [110]
2 years ago
10

Help would be appreciated!

Mathematics
1 answer:
Roman55 [17]2 years ago
3 0
I think it’s b because linear functions usually have a straight line
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Roberta is 20 years older than Julian. In 4 years, Roberta's age will be twice Julian's age.
mars1129 [50]

Step-by-step explanation:

There are 2 questions in one.

1)

<u>Roberta is 20 years older than Julian. In 4 years, Roberta's age will be twice Julian's age:</u>

  • r = j + 20
  • r + 4 = 2j

---------------------------

2)

<u>Roberta is twice as old as David. In 10 years, Roberta will be 8 less than three times David's present age:</u>

  • r = 2d
  • r + 10 = 3d - 8

Correct choice is A

8 0
2 years ago
HELP i’m having trouble with my homework assignments
Aleksandr-060686 [28]

Answer:

Collin: about $401 thousand

Cameron: about $689 thousand

Step-by-step explanation:

A situation in which doubling time is constant is a situation that can be modeled by an exponential function. Here, you're given an exponential function, though you're not told what the variables mean. That function is ...

P(t)=P_0(2^{t/d})

In this context, P0 is the initial salary, t is years, and d is the doubling time in years. The function gives P(t), the salary after t years. In this problem, the value of t we're concerned with is the difference between age 22 and age 65, that is, 43 years.

In Collin's case, we have ...

P0 = 55,000, t = 43, d = 15

so his salary at retirement is ...

P(43) = $55,000(2^(43/15)) ≈ $401,157.89

In Cameron's case, we have ...

P0 = 35,000, t = 43, d = 10

so his salary at retirement is ...

P(43) = $35,000(2^(43/10)) ≈ $689,440.87

___

Sometimes we like to see these equations in a form with "e" as the base of the exponential. That form is ...

P(t)=P_{0}e^{kt}

If we compare this equation to the one above, we find the growth factors to be ...

2^(t/d) = e^(kt)

Factoring out the exponent of t, we find ...

(2^(1/d))^t = (e^k)^t

That is, ...

2^(1/d) = e^k . . . . . match the bases of the exponential terms

(1/d)ln(2) = k . . . . . take the natural log of both sides

So, in Collin's case, the equation for his salary growth is

k = ln(2)/15 ≈ 0.046210

P(t) = 55,000e^(0.046210t)

and in Cameron's case, ...

k = ln(2)/10 ≈ 0.069315

P(t) = 35,000e^(0.069315t)

5 0
3 years ago
You walk into a clothing store and see a shirt you
choli [55]

Answer:

Step-by-step explanation:

30.00*30%=9 off

30-9=21.00

3 0
2 years ago
Compare the original figure to the enlarged figure.
astra-53 [7]

Answer:

All the options are correct apart from the last one

Step-by-step explanation:

  • <em>Scale factor is the ratio of corresponding sides</em>

Scale factor = 6.5 / 3.25  

  • Yes

Scale factor = 3.25 / 6.5

  • Yes

Scale factor = 3 / 1.5  

  • Yes

Scale factor = 1.5 /3  

  • Yes

Scale factor = 1.5 / 3.25  

  • No, as it is the ratio of sides of the same rectangle
8 0
3 years ago
Read 2 more answers
Brainliest need help
erastova [34]

Answer:

p(71 <  \times  < 85) \\  = p( \frac{71 - 78}{4}  < z <  \frac{85 - 78}{4} ) \\  = p( - 1.75 < z < 1.75) \\  =1 -  (\phi(1.75)) \\  = 0.46  \times 100\%\\  = 46\%

4 0
2 years ago
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