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Rzqust [24]
3 years ago
11

Micks weekly wage is £343.75 following a 25% increase

Mathematics
1 answer:
svlad2 [7]3 years ago
3 0
Let x = his wage before his raise.
x + .25x = 343.75
1.25x = 343.75
x = $ 275.00 Was his wage before his raise

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An open rectangular box is 4 feet long and has a surface area of 20 square feet. Find the dimensions of the box for which the vo
sweet-ann [11.9K]
SA=2H(L+W)+LW for open box
20=2H(4+W)+4(W)
distribute
20=8H+2WH+4W
divide both sides by 2
10=4H+WH+2W
solve for 1 variable, pick W
10-4H=WH+2W
10-4H=W(H+2)
(10-4H)/(H+2)=W

V=LWH
subsitute 4 for V, subsitute H for H and (10-4H)/(H+2) for W
V=(4)(H)(10-4H)/(H+2)
V=(40H-16H²)/(H+2)
find max value
take deritivitive of this thing
V'=-16(H²+4H-5)/((H+2)²)
using sign chart
sign changes from positive to negative at H=1

so at H=1
find W

W=(10-4H)/(H+2)
W=2

the dimeionts are

length=4ft
width=2ft
height=1ft
(the volume is 8 cubic feet)
3 0
3 years ago
A town has a population of 5000 and grows at 4% every year. What will be the population after 7 years, to the nearest whole numb
Rudiy27

I think this is.. ↓

grows 4% at every year

after 7 years ↓↓

4 × 7 = 28

A town has a population of 5000

28% of 5000 = 1400

5000 + 1400 = 6400


after 7 years, town has 6400 population = after 7 year grows 28%

7 0
3 years ago
Read 2 more answers
The brand name of a certain chain of coffee shops has a 54% recognition rate in the town of Coffleton. An executive from the com
malfutka [58]

Answer:

0.156

Step-by-step explanation:

Using binomial probability formula, we have :

P( a out of n ) =ⁿCₐ x pᵃ x qⁿ⁻ᵃ  ------------------------------------------------- (1)

Where n = total number of sample

           a = number of success

            p = probability of success

            q = probability of failure

            n-a = number of failures

From the question:

n =10 , a = 7, p=0.54, q = 1-p = 0.46

Substituting into equation (1) we have:

P (7 out of 10) =  ¹⁰C₇ x (0.54)⁷x (0.46)¹⁰⁻⁷

                      = 0.1563

                     ≈ 0.156

                   

8 0
3 years ago
How many $1 dollar bills do i need to circle the earth? Thanks
ozzi
1 billion dollars × 6 inches per dollar = 6 billion inches / 63,360 inches per mile = 94,636.97 miles coverted by1 billion bills. answer = 94,636.97 miles 
8 0
3 years ago
Pls help me ????????????
ArbitrLikvidat [17]

Answer:

24 books

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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