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vovikov84 [41]
3 years ago
8

for Jocelyn's lemonade recipe for lemons are required to make 12 cups of lemonade at what rate are lemons being used in cups of

lemonade per lemon ​
Mathematics
2 answers:
Oliga [24]3 years ago
4 0

3 lemons

if you have to show your work 4 divided by 12 is 3

Amiraneli [1.4K]3 years ago
3 0

Answer:

3 per lemon used

Step-by-step explanation:

12 divided by 4 is 3 which would be 1 lemon

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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.

7 0
3 years ago
Question Completion Status:
jeka94

Answer:

y=3x-3

Step-by-step explanation:

The equation of the line with the slope m and passing through the point (x_0,y_0) is

y-y_0=m(x-x_0)

In your case,

m=3\\ \\x_0=3\\ \\y_0=6

Hence, the equation of the line is

y-6=3(x-3)\\ \\y-6=3x-9\\ \\y=3x-9+6\\ \\y=3x-3

3 0
3 years ago
Solve #2 with an explanation please
KatRina [158]
The fence is 210 ft long.
There is a post every 3.5 ft.
If you divide 210 ft by 3.5 ft, you get the number of spaces between posts.
(210 ft)/(3.5 ft) = 60
The fence starts with a post. Then there is 3.5 ft of fencing. Then there is another post. Then there is another 3.5 ft of fencing followed by a post. In total there are 61 posts.

Here's another way of thinking of why you end up with 60 posts.
For each 3.5 ft of fencing, you place a post at the end of the fencing.
Since there are 60 3.5-ft-long pieces of fencing, there will be 60 posts, one at the end of each piece of fencing. The first thing that is done is to put the initial post before any fencing is put up. The first post plus 60 more posts add up to 61 posts.

Now that you see why there are 61 posts, we can calculate their cost.
61 * $8.50 = $518.50
5 0
3 years ago
From a barrel of colored marbles, you randomly select 3 blue, 2 yellow, 7 red, 8 green, and 2 purple marbles. Find the experimen
svet-max [94.6K]
My guess is D. Not for sure though. 
3 0
3 years ago
Read 2 more answers
Please help I don’t get it!!! <br> 3(-x+2)
Dennis_Churaev [7]

Answer:

-3x + 6

Step-by-step explanation:

Distribute the 3 across the parentheses, like you are multiplying. 3 x (-x) = -3x and 3 x 2 = 6. Then write as an expression.

3 0
2 years ago
Read 2 more answers
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