If 0.75 cups = 20 cookies
0.375 cups = 10 cookies
1.875 cups = 50 cookies
Answer:
$1,179
Step-by-step explanation:
Lets use the compound interest formula provided to solve this:
![A=P(1+\frac{r}{n} )^{nt}](https://tex.z-dn.net/?f=A%3DP%281%2B%5Cfrac%7Br%7D%7Bn%7D%20%29%5E%7Bnt%7D)
<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
<em />
First, lets change 2.6% into a decimal:
2.6% ->
-> 0.026
Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:
![A=910(1+\frac{0.026}{4})^{4(10)}](https://tex.z-dn.net/?f=A%3D910%281%2B%5Cfrac%7B0.026%7D%7B4%7D%29%5E%7B4%2810%29%7D)
![A=1,179.21](https://tex.z-dn.net/?f=A%3D1%2C179.21)
The account balance after 10 years will be $1,179
9514 1404 393
Answer:
1 5/24 + 7 22/24 = 8 27/24
Step-by-step explanation:
No change is required to the fraction on the first line:
1 5/24 = 1 5/24
The fraction on the second line can be multiplied by 2/2 to make its denominator 24.
7 11/12 = 7 22/24
The fraction on the third line is the sum of the fractions on the other two lines. It is an improper fraction. We know this because the integer portion of the sum is shown as 8, not 9, as it would be if the fraction were reduced.
5/24 +22/24 = 27/24
Then the sum is ...
1 5/24 +7 22/24 = 8 27/24
_____
If the fraction on the final line were reduced, the sum would be 9 3/24 = 9 1/8.
The first step to calculate the APR is to calculate the interest rate per $100
Here Interest rate = 11%
Term or time of repayment = 18 months
interest per $100 =
$100 × 11% × ![\frac{18}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B18%7D%7B12%7D%20%20)
= $16.50
Now we should calculate the interest part for $3400 for 18 months
× ![\frac{16.50}{18}](https://tex.z-dn.net/?f=%20%5Cfrac%7B16.50%7D%7B18%7D%20%20)
= $31.12
So $ 31.17 is the interest part of the repayment amount
Now lets calculate the principal part which would be $ 3400 divided equally for 18 months
![\frac{3400}{18} = $188.89](https://tex.z-dn.net/?f=%20%5Cfrac%7B3400%7D%7B18%7D%20%3D%20%24188.89%20)
Now to find the final payment we add the interest and the principal part
$31.17+$188.89 = $220.06
Hence option D is the right answer
Answer:
a.
R-------8/38--------RR
R------9/39--------B-------13/38-------RB
G------17/38--------RG
R-------9/38--------BR
B--------13/39------B-------12/38-------BB
G-------17/38-------BG
R-----9/38--------GR
G---------17/39-------B------13/38-------GB
G------16/38-------GG
b).
- 9 ways
- ways you can select 1 blue are; RB,BR,BG,GB
RB=9/39 × 13/38=3/38
BR= 13/39 × 9/38 =3/38
BG= 13/39 × 17/38=17/114
GB= 17/39 × 13/38=17/114
=3/38 +3/38+17/114+ 17/114 =26/57
- Probability of selecting 2 red markers= RR = 9/39 × 8/38 =12/247
- Probability of selecting a green marker and then a red marker= GR= 17/39×9/38 =51/494