Solve the problem. Round to the nearest tenth if necessary.
Last year, Maria earned $303 per week. This year, her salary increased to per week. What is the percent of increase?
To find the percent of increase, we need to calculate the difference in salary and divide it by last year's salary, and then multiply by 100.
This year, Maria earned $ per week, which is an increase of - $303 = $.
The percent of increase is then $ / $303 × 100 = × 100 = × 100 = × 100 ≈ 11.2.
Therefore, the percent of increase is approximately 11.2%. Answer: \boxed{11.2}.
Forgot part of the question. It went from 303 to 331 per week.
To find the percent of increase, we need to calculate the difference in salary and divide it by last year's salary, and then multiply by 100.
Maria's salary increased from $303 to $331 per week.
The difference in salary is $331 - $303 = $28.
Now, divide $28 by $303 and multiply by 100 to find the percent increase:
($28 / $303) * 100 ≈ 0.0924 * 100 ≈ 9.24.
Therefore, the percent of increase is approximately 9.2%. Answer: \boxed{9.2}.
Possible answers:
A)
8.5%
B)
90.8%
C)
91.5%
D)
9.2%
Apologies for the previous incorrect response. The correct answer is D) 9.2%.
Solve the problem.
Matthew has $4200 invested in the stock market. This amounts to 20% of his total savings. How much has Matthew saved?
Let's assume Matthew's total savings is represented by the variable "S".
We are given that the amount Matthew has invested in the stock market ($4200) is 20% of his total savings.
This can be written as:
0.20S = $4200
To find the total savings (S), we need to divide both sides of the equation by 0.20:
S = $4200 / 0.20
S = $21,000
Therefore, Matthew has saved $21,000. Answer: \boxed{21000}.
Solve the problem.
A radio transmission tower is 120 feet tall. How long should a guy wire be if it is to be attached 7 feet from the top and is to make an angle of 34° with the ground? Give your answer to the nearest tenth of a foot.
To solve this problem, we can use trigonometry.
The guy wire forms a right triangle with the ground. The height of the radio transmission tower (120 feet) is the opposite side of the right triangle, and the distance from the top of the tower to where the guy wire is attached (7 feet) is the adjacent side of the right triangle.
We are given that the angle between the guy wire and the ground is 34°.
Using the tangent function, we can set up the equation:
tan(34°) = opposite / adjacent
tan(34°) = 120 / 7
Now, we can solve for the opposite side (length of the guy wire).
opposite = tan(34°) * adjacent
opposite = tan(34°) * 7
opposite ≈ 4.92
Therefore, the length of the guy wire should be approximately 4.92 feet. Answer: \boxed{4.9}.
Answers:
A)
202.1 ft
B)
214.6 ft
C)
144.7 ft
D)
136.3 ft