Answer:
Step-by-step explanation:
<u>We know that:</u>
- Samantha = 15 + 2x
- Matt = 3 + 4x
- Samantha = Matt
- [x = Number of hours]
<u>Solution:</u>
- 15 + 2x = 3 + 4x
- => 15 - 3 = -2x + 4x
- => 12 = 2x
- => x = 6
Hence, after 6 hours of work, Samantha and Matt will have the same amount.
Answer:
The interest rate of the account is 
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above and solve for r

![r=4*[(2,830.97/1,863)^{1/56}-1]\\ \\r= 0.03](https://tex.z-dn.net/?f=r%3D4%2A%5B%282%2C830.97%2F1%2C863%29%5E%7B1%2F56%7D-1%5D%5C%5C%20%5C%5Cr%3D%200.03)
Convert to percent

Answer:
The third option.
Step-by-step explanation:

Hence the 3rd option.
Answer:
0.84 square in
Step-by-step explanation:
Since the capacity of the cable is proportional to its cross-sectional area. If a cable that is 0.3 sq in can hold 2500 lb then per square inch it can hold
2500 / 0.3 = 8333.33 lb/in
To old 7000 lb it the cross-sectional area would need to be
7000 / 8333.33 = 0.84 square in
Answer:
5
Step-by-step explanation: