The total amount of money which the Stewart family would have to pay into the annuity each quarter is $242.12.
<h3>How to calculate the payment?</h3>
Mathematically, annuity can be calculated by using this formula:
![A = P[\frac{(1+\frac{r}{n} )^{nt} - 1)}{\frac{r}{n} }]](https://tex.z-dn.net/?f=A%20%3D%20P%5B%5Cfrac%7B%281%2B%5Cfrac%7Br%7D%7Bn%7D%20%29%5E%7Bnt%7D%20-%201%29%7D%7B%5Cfrac%7Br%7D%7Bn%7D%20%7D%5D)
<u>Given the following data:</u>
- Number of times compounded (quarterly), n = 4.
- Present value, A = $13,000.
- Interest rate, r = 3.6% = 0.036.
Substituting the given parameters into the formula, we have;
![13000 = P[\frac{(1+\frac{0.036}{4} )^{4 \times 11} - 1)}{\frac{0.036}{4} }]\\\\13000 = P[\frac{(1+0.009 )^{44} - 1)}{0.009 }]\\\\13000 = P[\frac{(1.009 )^{44} - 1)}{0.009 }]\\\\13000 = P[\frac{1.48323960867 - 1}{0.009 }]\\\\13000 = P[\frac{0.48323960867 }{0.009 }]\\\\13000 = 53.6932898522P](https://tex.z-dn.net/?f=13000%20%3D%20P%5B%5Cfrac%7B%281%2B%5Cfrac%7B0.036%7D%7B4%7D%20%29%5E%7B4%20%5Ctimes%2011%7D%20-%201%29%7D%7B%5Cfrac%7B0.036%7D%7B4%7D%20%7D%5D%5C%5C%5C%5C13000%20%3D%20P%5B%5Cfrac%7B%281%2B0.009%20%29%5E%7B44%7D%20-%201%29%7D%7B0.009%20%7D%5D%5C%5C%5C%5C13000%20%3D%20P%5B%5Cfrac%7B%281.009%20%29%5E%7B44%7D%20-%201%29%7D%7B0.009%20%7D%5D%5C%5C%5C%5C13000%20%3D%20P%5B%5Cfrac%7B1.48323960867%20-%201%7D%7B0.009%20%7D%5D%5C%5C%5C%5C13000%20%3D%20P%5B%5Cfrac%7B0.48323960867%20%7D%7B0.009%20%7D%5D%5C%5C%5C%5C13000%20%3D%2053.6932898522P)
P = 13000/53.6932898522
P = $242.12.
Read more on annuity here: brainly.com/question/25792915
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Complete Question:
The Stewart family wants to save money to travel the world. They plan to invest in an ordinary annuity that earns 3.6% interest, compounded quarterly. Payments will be made at the end of each quarter. How much money do they need to pay into the annuity each quarter for the annuity to have a total value of $13,000 after 11 years?
Answer:
13cm
Step-by-step explanation:
P=2l+2w
56=2(15)+2w
56=30+2w
26=2w
w=13
The answer is 3/8. You can find a common denominator of 64 among all of the fractions. From this, you can find how many orange candies there are. There is 64 candies, and 40 of them are other flavors, so there's 24 orange candies. You can create the fraction 24/64 and simplify it down to 3/8.
Answer:
![- 2\frac{1}{6}](https://tex.z-dn.net/?f=-%202%5Cfrac%7B1%7D%7B6%7D)
Step-by-step explanation:
![(2\frac{1}{6} -1\frac{2}{3}) - 2 \frac{2}{3}](https://tex.z-dn.net/?f=%282%5Cfrac%7B1%7D%7B6%7D%20-1%5Cfrac%7B2%7D%7B3%7D%29%20-%202%20%5Cfrac%7B2%7D%7B3%7D)
![(\frac{13}{6} -\frac{5}{3}) - 2 \frac{2}{3}](https://tex.z-dn.net/?f=%28%5Cfrac%7B13%7D%7B6%7D%20-%5Cfrac%7B5%7D%7B3%7D%29%20-%202%20%5Cfrac%7B2%7D%7B3%7D)
![(\frac{13}{6} -\frac{10}{6}) - 2 \frac{2}{3}](https://tex.z-dn.net/?f=%28%5Cfrac%7B13%7D%7B6%7D%20-%5Cfrac%7B10%7D%7B6%7D%29%20-%202%20%5Cfrac%7B2%7D%7B3%7D)
![\frac{3}{6} - 2 \frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B6%7D%20%20-%202%20%5Cfrac%7B2%7D%7B3%7D)
![\frac{3}{6} - \frac{8}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B6%7D%20%20-%20%20%5Cfrac%7B8%7D%7B3%7D)
![\frac{3}{6} - \frac{16}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B6%7D%20%20-%20%20%5Cfrac%7B16%7D%7B6%7D)
![- \frac{13}{6}](https://tex.z-dn.net/?f=-%20%20%5Cfrac%7B13%7D%7B6%7D)
![- 2\frac{1}{6}](https://tex.z-dn.net/?f=-%202%5Cfrac%7B1%7D%7B6%7D)
Answer:
The total number of batches of pancakes that Kim can make with the model is 4 batches of pancake
Step-by-step explanation:
Number of cups of pancakes = 2/4
Number of cups of almonds to make a batch of pancakes = 1/8
Therefore, the batches of pancakes that she can make will be:
= 2/4 ÷ 1/8
= 2/4 × 8/1
= 4
In conclusion, the number of batches of pancakes that Kim can make with the cup of almonds is 4 batches.