Answer:
80 buckets of red paint
Step-by-step explanation:
Given
The ratio of buckets of yellow paint to buckets of red paint in the store to be 3:4
Total ratio = 3 + 4 = 7
Amount of yellow paint = 60
Required
Amount of red paint.
First get the total amount of paint used.
3/7 * x = 60
x is the total paint used
3x/7 = 60
3x = 7*60
x = 420/3
x = 140 buckets of paint
Amount of red paint = Total - Amount of yellow paint
Amount of red paint = 140 - 60
Amount of red paint = 80
Hence there are 80 buckets of red paint in the store
Answer:
27
Step-by-step explanation:
Multiply 8×.75 (6)
Add that to 21
Anthony's OT pay will be $118.875 and his overall pay will be $752.875.
Number of hours Anthony has to work in a week = 5 × 8 = 40 hours.
He worked for = 47.50 hours.
Overtime = 47.50 hours - 40 hours = 7.50 hours
Pay per hour = $15.85 / hour
Overtime pay (OT pay) = $15.85 × 7.50 = $118.875
Overall pay = $15.85 × 47.50 = $752.875
Therefore, Anthony's OT pay is $118.875 and his overall pay is $752.875.
Learn more about overtime pay here -
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Answer:
a. a[1] = 3; a[n] = 2a[n-1]
b. a[n] = 3·2^(n-1)
c. a[15] = 49,152
Step-by-step explanation:
Each term of the given sequence is 2 times the previous term. (This description is the basis of the recursive formula.) That is, the terms of the given sequence have a common ratio of 2. This means the sequence is geometric, so the formulas for explicit and recursive rules for a geometric sequence apply.
The first term is 3, and the common ratio is 2.
<h3>(a)</h3>
The recursive rule is ...
a[1] = 3
a[n] = 2×a[n-1]
__
<h3>(b)</h3>
The explicit rule is ...
a[n] = a[1]×r^(n-1)
a[n] = 3×2^(n-1)
__
<h3>(c)</h3>
The 15th term is ...
a[15] = 3×2^(15-1) = 3×2^14
a[15] = 49,152
