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noname [10]
3 years ago
11

Mr. Rodriguez, a college instructor, can grade his class papers in 3 hours while it takes his assistant 4 1/2 hours. If Mr. Rodr

iguez graded the papers for 1 hour and then left the job for his assistant to complete, how long will it take his assistant to finish grading papers?
Mathematics
1 answer:
cricket20 [7]3 years ago
7 0
3 1/2 hours because Rodriquez graded one hour of papers and if his assistant grades the class papers in 4 1/2 hours, it should only take him 3 1/2 hours since Rodriquez helped with an hour of it
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Use a formula to calculate the amount of money you would have if you invest $3000 at a rate of 5% compounded quarterly, for 3 ye
snow_lady [41]

Answer:

At 5% compounded quarterly, the amount of $3,000 would be $3,482.

At 1.5% compounded monthly, the amount of $3,000 would be $3,138.

Step-by-step explanation:

Option 1:

Rate = r = 5%

Times = b = 4

y = a (1 + r)ⁿ

For compounded quarterly the rate of interest and Number of years will be written as follows:

y = a [1 + (r / b)]ⁿᵇ

y = $3,000 [1 + (0.05 / 4]³ ˣ ⁴

y = $3,000 [1 + 0.0125]¹²

y = $3,000 [1.0125]¹²

y = $3,000 x 1.160755

y = $3,482

Option 2:

Rate = r = 1.5%

Times = b = 12

y = a (1 + r)ⁿ

For compounded monthly the rate of interest and Number of years will be written as follows:

y = a [1 + (r / b)]ⁿᵇ

y = $3,000 [1 + (0.015 / 12]³ ˣ ¹²

y = $3,000 [1 + 0.00125]³⁶

y = $3,000 [1.00125]³⁶

y = $3,000 x 1.045998

y = $3,138

Hence As compared to Option 1, Option 2 has low rate of return by $344. Therefore Option 1 should be selected.

3 0
3 years ago
HURRY WILL GIVE BRAINIEST!!!!!
Airida [17]

Answers:

a) \frac{1}{64}

b) 27

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7 0
3 years ago
There are 219 people at the science camp. 112 people are enrolled in the chemistry class, and 45 people are enrolled in the phys
eimsori [14]

Answer:

The correct answer is - 17.

Step-by-step explanation:

Given:

total students = 219

in chemistry = 112

in physics = 45

not enrolled in either of these = 79

solution:

The number of students in both classes can be calculated by

P ( A or B) = P (A) + P (B) - P (A and B)

then putting and solving the given vaues in formula

=> (219-79) = 112+45-x

=> 140 = 157 -x

=> 17 = x

6 0
2 years ago
In January the students in a class red 72 books in February they read 56 books what is the approximate percentage decrease in th
snow_lady [41]

Answer: -12.5%

72 + 56 = 128

72 x / 128 x 100 = 56.25

56 / 128 x 100 = 43.75

43.75 - 56.25 = - 12.5

5 0
2 years ago
John mows 6 lawns a week and makes 90 dollars. If he made 270 dollars how many lawns did he mow??? Please help im really struggl
tangare [24]

Answer:

Step-by-step explanation:

90 × 3=270 dollars

6×3= 18 lawns

7 0
3 years ago
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