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PIT_PIT [208]
3 years ago
13

A new self-serve frozen yogurt store opened this summer that sells its yogurt at a price based upon the total weight of the yogu

rt and its toppings in a dish. Each member of Isabelle’s family weighed their dish and this is what they found. Determine if the cost is proportional to the weight. How much is the unit cost? (Unit cost = cost per ounce)
Weight (ounces) : 12.5 10 5 8
Cost ($) : 5 4 2 3.20
Mathematics
1 answer:
sveta [45]3 years ago
5 0
The unit cost is 40 cents or $.40 per ounce
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A person invests $1,150 in an account that earns 5% annual interest compounded continuously. Find when the value of the investme
AfilCa [17]

Answer:

11.1 years

Step-by-step explanation:

The formula for interest compounding continuously is:

A(t)=Pe^{rt}

Where A(t) is the amount after the compounding, P is the initial deposit, r is the interest rate in decimal form, and t is the time in years.  Filling in what we have looks like this:

2000=1150e^{{.05t}

We will simplify this first a bit by dividing 2000 by 1150 to get

1.739130435=e^{.05t}

To get that t out the exponential position it is currently in we have to take the natural log of both sides.  Since a natural log has a base of e, taking the natual log of e cancels both of them out.  They "undo" each other, for lack of a better way to explain it.  That leaves us with

ln(1.739130435)=.05t

Taking the natural log of that decimal on our calculator gives us

.5533852383=.05t

Now divide both sides by .05 to get t = 11.06770477 which rounds to 11.1 years.

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3 years ago
Which measurement statement is correct?
Nesterboy [21]

Answer:

There are 2 cups in a pint is correct

8 0
3 years ago
3. What is the 9th term in the following sequence? 11, 17, 23, 29, . . . (1 point) 47 53 59 65
KatRina [158]
Since the common difference is 6, we can assume that the sequence is arithmetic, with rule
T(n)=6n+5  where T(1)=11
T(9)=6(9)+5=59
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3 years ago
Y = x – 6 x = –4 what is the solution to the system of equations? (–8, –4) (–4, –8) (–4, 4) (4, –4
fredd [130]

Answer:

(- 4, - 10 )

Step-by-step explanation:

Given the 2 equations

y = x - 6 → (1)

x = - 4 → (2)

Substitute x = - 4 into (1) for corresponding value of y

y = - 4 - 6 = - 10

Solution is (- 4, - 10 )

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3 years ago
100 points!!! PLEASE ANSWER IT HOW I HAVE IT IN ORDER!!
Anvisha [2.4K]

Answer: Have a good day. I’m sorry you have to go through this, my head already hurts and I am just lōoking at it.

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3 years ago
Read 2 more answers
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