Answer:
You will need 3 6/13 quarts of peanuts to make 3 jars of peanuts butter
Step-by-step explanation:
To make this answering seamless, we make the mixed fractions into improper fractions
Hence 2 1/2 becomes 5/2
while 2 1/6 becomes 13/6
Here we are told that a bag with 5/2 quarts of peanuts can make 13/6 jars of peanuts butter
Hence, x quarts of peanuts will make 3 jars of peanuts butter
To get the value of x, what we simply need to do is to cross multiply.
Thus, we have
5/2 - 13/6
x - 3
3 * 5/2 = 13/6 * x
15/2 = 13x/6
26x = 90
x = 90/26
x = 45/13
x = 3 6/13
-2/3-(-1 1/3) =
-2/3 + 1 1/3 =
4/3 - 2/3 =
<em>2/3</em>
12 - (-5) =
12 + 5 =
<em>17</em>
-1 - (-6) =
-1 + 6 =
6 - 1 =
<em>5</em>
-3 3/8 - 7/8 =
27/8 - 7/8 =
20/8 =
2 4/8 =
<em>2</em><em> </em><em>1/2</em>
We are asked to determine the present value of an annuity that is paid at the end of each period. Therefore, we need to use the formula for present value ordinary, which is:
Where:
Since the interest is compounded semi-annually this means that it is compounded 2 times a year, therefore, k = 2. Now we need to convert the interest rate into decimal form. To do that we will divide the interest rate by 100:
Now we substitute the values:
Now we solve the operations, we get:
Therefore, the present value must be $39462.50
Step-by-step explanation:
x = the total money she had first.
x - x×1/4 - (x - x×1/4)×1/2 = 15
you see, first we needed to deduct 1/4 of x from x. that left us with (x - x×1/4). and from that we need to deduct 1/2.
now, we can simplify :
(x - x×1/4) = (x×4/4 - x×1/4) = x×3/4
x×3/4 - x×3/4 × 1/2 = 15
x×3/4 - x×3/8 = 15
we multiply both sides by 8 (4 is a factor of 8, so this handled both fractions perfectly) :
x×3×2 - x×3 = 120
6x - 3x = 120
3x = 120
x = $40
she had $40 at the beginning.
