Answer:
Question 1 : The answer is 143.3 miles
Question 2 : The answer is 120 minutes
Step-by-step explanation:
1.Based on the give conditions:
![43 \times 90 \div 27 \\ calculate \frac{43 \times 90}{27} = \frac{430}{3}](https://tex.z-dn.net/?f=43%20%5Ctimes%2090%20%5Cdiv%2027%20%5C%5C%20calculate%20%5Cfrac%7B43%20%5Ctimes%2090%7D%7B27%7D%20%20%3D%20%20%5Cfrac%7B430%7D%7B3%7D%20)
![= 143.3](https://tex.z-dn.net/?f=%20%3D%20143.3)
2. 90 miles = 75min
143.3 ÷ 90 = 1.6
75 × 1.6 = 120
so the answer is 120 min
Answer:
91m+13n+52
Step-by-step explanation:
Answer:
<u>Equation</u>: ![F=1500(1.0025)^{12t}](https://tex.z-dn.net/?f=F%3D1500%281.0025%29%5E%7B12t%7D)
<u>The balance after 5 years is: $1742.43</u>
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Step-by-step explanation:
This is a compound growth problem . THe formula is:
![F=P(1+\frac{r}{n})^{nt}](https://tex.z-dn.net/?f=F%3DP%281%2B%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
Where
F is future amount
P is present amount
r is rate of interest, annually
n is the number of compounding per year
t is the time in years
Given:
P = 1500
r = 0.03
n = 12 (compounded monthly means 12 times a year)
The compound interest formula modelled by the variables is:
![F=1500(1+\frac{0.03}{12})^{12t}\\F=1500(1.0025)^{12t}](https://tex.z-dn.net/?f=F%3D1500%281%2B%5Cfrac%7B0.03%7D%7B12%7D%29%5E%7B12t%7D%5C%5CF%3D1500%281.0025%29%5E%7B12t%7D)
Now, we want balance after 5 years, so t = 5, substituting, we get:
![F=1500(1.0025)^{12t}\\F=1500(1.0025)^{12*5}\\F=1500(1.0025)^{60}\\F=1742.43](https://tex.z-dn.net/?f=F%3D1500%281.0025%29%5E%7B12t%7D%5C%5CF%3D1500%281.0025%29%5E%7B12%2A5%7D%5C%5CF%3D1500%281.0025%29%5E%7B60%7D%5C%5CF%3D1742.43)
<u>The balance after 5 years is: $1742.43</u>