Answer:
$60.5
Step-by-step explanation:
Simply plug in all known values to the equation. You know that p is 50, r is 0.10, and t is 2, for two years. After you plug in all those values, you can solve for this equation, and get 60.5 as your answer.
We are given the following information
Investment = $5200
Annual interest rate = 4.2% = 0.042
Final amount = $16,500
Number of years = 27.7 years
Number of compoudings = quartely = 4
The student uses the following model
![V(t)=5200(1.014)^{3t}](https://tex.z-dn.net/?f=V%28t%29%3D5200%281.014%29%5E%7B3t%7D)
The general formula for compound interest is given by
![V(t)=P(1+\frac{r}{n})^{nt}](https://tex.z-dn.net/?f=V%28t%29%3DP%281%2B%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
As you can see, the number of compoundings is incorrect (3 vs 4)
The interest rate is also incorrect.
Let us substitute the given values into the above formula
![\begin{gathered} V(t)=P(1+\frac{r}{n})^{nt} \\ V(t)=5200(1+\frac{0.042}{4})^{4\cdot27.7} \\ V(t)=5200(1+0.0105)^{110.8} \\ V(t)=5200(1.0105)^{110.8} \\ V(t)=\$16543.5^{} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20V%28t%29%3DP%281%2B%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D%20%5C%5C%20V%28t%29%3D5200%281%2B%5Cfrac%7B0.042%7D%7B4%7D%29%5E%7B4%5Ccdot27.7%7D%20%5C%5C%20V%28t%29%3D5200%281%2B0.0105%29%5E%7B110.8%7D%20%5C%5C%20V%28t%29%3D5200%281.0105%29%5E%7B110.8%7D%20%5C%5C%20V%28t%29%3D%5C%2416543.5%5E%7B%7D%20%5Cend%7Bgathered%7D)
Therefore, the final amount is approximately $16,543.5
Hi,
x + y = 350 (equation 1)
3x + 2y = 950 (equation 2)
Use Substitution Method
Isolate variable x in equation 1
x = 350 – y (equation 3)
Substitute equation 3 into equation 2
3(350 – y) + 2y = 950
1050 – 3y + 2y = 950
3y – 2y = 1050 – 950
y = 100
Substitute y = 100 into equation 1
x + 100 = 350
x = 250
Answer: 250 $3 tickets and 100 $2 tickets were sold.
0.3% = 0.003..." of " means multiply
0.003(200) = 0.6 <==
0.85% = 0.0085
0.0085(600) = 5.1 <==
what u can do to turn the percents to decimals is divide by 100.
0.3 / 100 = 0.003 and 0.85 / 100 = 0.0085
or u can move the decimal two spaces to the left
9 times 52 = 468 hope that helped!!