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2 years ago

Twelve years ago, Mandy's father was 5 times as old as she. Mandy's father was 28 years older than she. How old is Mandy now?

Mathematics

1 answer:

Sphinxa [80]2 years ago

5 0

Mandy father was 28
Mandy father = 5M=28
M=28/5
Now Mandy will be 28/5+12= 17.6 years

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SpyIntel [72]

Answer:

44.7 mg

Step-by-step explanation:

The equation for exponential decay can be written in the form ...

y = a·b^(t/p)

where 'a' is the initial value, 'b' is the decay factor, 'p' is the period over which the decay factor is applicable, and t is time in the same units as p.

<h3>Setup</h3>

Using the above equation, we have ...

a = initial value = 110 mg

b = decay factor = 55/110 = 1/2 over time period p=20 hours

Then the equation is ...

y = 110·(1/2)^(t/20) . . . . amount remaining after t hours

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We want the amount remaining after 26 hours. That will be ...

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1 year ago

Aiden's bill for lunch at a restaurant is $14.50, and he wants to leave a 18% tip.

zhannawk [14.2K]

Answer:

Tip: $2.61

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Step-by-step explanation:

tip = total cost * rate of tip

Add the tip to the original bill, that's the total.

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2 years ago

Mrs. Lenz rented a scooter during her beach vacation. The cost of the scooter rental is shown for different periods of time. Wha

iragen [17]

Answer:

The unit rate of $10 per hour.

Step-by-step explanation:

Given

$x = time$

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$(x,y) = (1,10)$

See attachment for graph

Required

What does the given point represents

From the attachment, the origin of the graph is:

$(x_1,y_1) = (0,0)$

and we have the given point to be:

$(x_2,y_2) = (1,10)$

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

After sitting in a refrigerator for a while, a turkey at a temperature of 34 degrees F is placed on the counter and slowly warms

Anton [14]

Answer:

k = 0.006
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Step-by-step explanation:

The initial temperature difference of 72 -34 = 38 °F is reduced to a difference of 72 -41 = 31 °F after 35 minutes. The exponential term in the temperature expression could have the factor ...

(31/38)^(t/35) = e^(-kt)

Taking the natural log, we find ...

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The value of k is about 0.006, and the turkey temperature is about 48 °F.

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2 years ago