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Firdavs [7]
1 year ago
13

Door panels are stored in the yard on pallets holding 20 panels. The yard currently has 5 complete pallets and 20 additional pal

lets will be received today. One customer ordered 2 pallets and another ordered 10 pallets for tomorrow. How many door panels will be left after the two customers orders are completed
Mathematics
1 answer:
Sladkaya [172]1 year ago
5 0

At the end of tomorrow, inventory of 5+20 pallets will have been used to fill orders for 2+10 pallets. That leaves inventory on hand of

... 25 - 12 = 13 pallets

Since each holds 20 panels, that amounts to

... (13 pallets) × (20 panels/pallet) = 260 panels . . . . remaining

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A karate center has 120 students. The director wants to set a goal to motivate her instructors to increase student enrollment. U
iVinArrow [24]
A) Plan A requires for a percentage increase of a number of students. This means that year after year the number of new students will increase. Plan B requires for a constant number of new students each year. This means that year after year the percentage increase would get smaller.

B) To solve this problem we will use formula for a growth of population:
final = initial * (1+percentage)^{t}
Where:
final = final number of students
initial = initial number of students
percentage = requested percentage increase
t = number of years

We can insert numbers and solve for t:
240= 120* (1+0.12)^{t}  \\ 2=1.12^{t}   \\ log2=log(1.12^{t} ) \\ log2=t*log1.12 \\ t= \frac{log2}{log1.12}  \\ t=6.12years

For Plan B we can use simple formula
increase = 120
increase per year = 20
number of years = increase / (increase per year) = 120 / 20 = 6 years

Plan B is better to double the <span>enrollment.


C)We use same steps as in B) to solve this.
</span>

360= 120* (1+0.12)^{t} \\ 3=1.12^{t} \\ log3=log(1.12^{t} ) \\ log3=t*log1.12 \\ t= \frac{log3}{log1.12} \\ t=9.69years

For Plan B we can use simple formula
increase = 240
increase per year = 20
number of years = increase / (increase per year) = 240 / 20 = 12 years

Plan A is better to triple the enrollment.
3 0
2 years ago
Forty percent of the sheets of construction paper are secondary colors. There are 25 sheets of construction paper. How many of t
Alja [10]
10 of those sheets are secondary colors.

40% = 0.4
0.4(25) = 10
4 0
2 years ago
Read 2 more answers
Choose which statements are true about Pi. Check all that apply. Piis a whole number. Piis double the radius. Piis approximately
Ludmilka [50]

Answer:

Answer in explanation

Step-by-step explanation:

In this question, we would be examining the validity of some statements on the number π(pi)

π Is a whole number?

This is wrong, π is a fraction of 22 to 7 parts I.e 22/7

π Is double the radius?

This is wrong. It is the diameter that is double the radius

π Is approximately 3.14?

This is correct to an extent. The actual value in decimal is around 3.142857142857143 which makes the 3.14 somehow correct

π represents the ratio of the circumference of the circle to the diameter?

This is correct.

Mathematically, circumference C = π * diameter D

Hence C/D = π

π Is approximately 22/7?

This is correct. This is the ratio used for π

7 0
1 year ago
Read 2 more answers
It took Ivan 7 1/2 hours to drive 412.5 miles at a constant speed. How fast was he driving? Show how you know.
damaskus [11]

Answer:

55

Step-by-step explanation:

412.5 / 7.5 =55

5 0
2 years ago
Rohen decided to collect data to determine if the size of a student's home and the student's age are correlated. He determined t
sukhopar [10]

Answer:

A correlation coefficient of 0.02 indicates that the data are not correlated.

Step-by-step explanation:

0.02 is very close to zero and tells you that there is no linear relationship between the two variables.

8 0
2 years ago
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