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kondaur [170]
3 years ago
9

Gene paid $171 to keep his dog at the kennel for 12 days. What was the unit rate, r, per day to keep the dog at the kennel?

Mathematics
1 answer:
Elena-2011 [213]3 years ago
5 0
171 divided by 12 =14.25 a day
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Janet Fog's uncle, Pete Moore, promised her a gift of $30,000 upon her graduation from law school or $1500 every quarter for the
LenaWriter [7]
First calculate the future value of the annuity
The formula to find the future value of an annuity ordinary is
Fv=pmt [((1+r/k)^(kn)-1)÷(r/k)]
Fv future value?
PMT quarterly payment 1500
R interest rate 0.12
K compounded quarterly 4
N time 4 years
Fv=1,500×(((1+0.12÷4)^(4×4)
−1)÷(0.12÷4))
=30,235.32

Now compare the amount of the annuity with amount of the gift
30,235.32−30,000=235.32
So as you can see the amount of the annuity is better than the amount of the gift by 235.32

Second offer is better

Hope it helps!
5 0
3 years ago
Find the value for “x”; 2 – 7x = -19
Law Incorporation [45]

Step-by-step explanation:

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<em>2</em><em>1</em><em>=</em><em>7x</em>

<em>21</em><em>÷</em><em>7</em><em>=</em><em>7x</em><em>÷</em><em>7</em>

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4 0
3 years ago
Is my answer correct? if not please correct me
elena-s [515]

Using the given equation y-3 = 3/4(x+2)


Give Y a value and then solve for x:


If y = 0 the equation is now:

0 -3 = 3/4(x+2)

Solve for x:

-3 = 3/4x + 1.5

-4.5 = 3/4x

x = -4.5 / 3/4

x = -6


So the first point would be (-6,0)


Now make x 0 and solve for y:

y -3 = 3/4(0+2)

y-3 = 0 + 1.5

y = 4.5

So the 2nd point would be (0,4.5)


You are close, but the dot you have on y=4, needs to be moved up to 4.5.


8 0
3 years ago
Solve the system of equations. Show ALL your work. Put your answer in the form of an ordered pair (x, y)
stiv31 [10]
This should be easy because we just have to use substitution method. Substitute the value of x from the second equation into the x of the first equation. 
                         -4(2y) + 11y = 15
                         -8y + 11y = 15
                                   3y = 15   ; y = 5
Substitute this value of y to either the first or second equation.
                                        x = 2(5) = 10
The ordered pair is therefore (10,5).
6 0
3 years ago
fay makes necklaces to sell at a craft fairs she can make 18 necklaces in for 12 days.in simplest terms, at what rate does she m
wolverine [178]
(18 neclaces)/(12 days) = 1.5 necklaces/day

_____
Rate is generally expressed in terms of quantity per time period. ("Per" means "divided by" here.) So, to find the rate, you divide the quantity by the corresponding time period, as above. There are other sorts of rates, but this is perhaps the most common.
4 0
3 years ago
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