A town has population of 5000 and grows 3.5 percent every year. What will be the population after 15 years , to the nearest whole number?
Answer:
After 15 years the population will be 7,625
Step-by-step explanation:
3.5% of 5,000 = 175
175 x 15 = 2625
2625 + 5,000 = 7625
The population after 15 years should be 8,376
Calculation of the population:Since the population is 5,000 and it grows 3.5 years and the time period is 15 years
So, the population after 15 years is
[tex]= 5,000 \times (1 + 3.5\%)^{15}\\\\[/tex]
= 8,376
Therefore, we can conclude that The population after 15 years should be 8,376
Learn more about population here: https://brainly.com/question/24309536
Factorise this expression as fully as possible
4x^2+x^3
Answer:
x^2(4+x)
Step-by-step explanation:
you have to factor out x^2 off both equations since that's the only thing that you can divide off the equations
Paint costs $12 per litre and can only be purchased in a full number of litres. One litre of paint covers an area of 10m2. A rectangular wall is 6.5 long and 3m high and needs two coats of paint. What will be the cost of paint for the wall?
Answer:
$48
Step-by-step explanation:
The rectangular wall is 6.5 m long and 3 m high and needs two coats of paint. This means the wall will be painted twice.
First, we find the area of the wall. The area of a rectangle is given as:
A = L * B
where L = length and B = breadth
Therefore, the area of the wall is:
[tex]A = 6.5 * 3 = 19.5 m^2[/tex]
One litre of paint covers an area of [tex]10m^2[/tex].
The paint can only be purchased in a full number of litres.
Therefore, let us find how many litres it will take to paint the wall once:
[tex]10m^2[/tex] = 1 litre
[tex]19.5 m^2[/tex] = 19.5 / 10 = 1.95 litres
Since the paint can only be bought in full number of litres, we approximate 1.95 litres to whole number, that is 2 litres.
2 litres is needed to paint the wall once.
Therefore, we need double of that to paint the wall twice, that is:
2 * 2 = 4 litres
Paint costs $12 per litre, therefore, the price for 4 litres is:
4 * 12 = $48
The cost of paint for the wall is $48.
Please help me any thing you can do just help me
Answer:if u need help go to a Psychiatric hospital
Step-by-step explanation:
David's car used 8 gallons of gasoline to travel 340 miles. After a mechanic worked on the car, it used 7 gallons of gasoline to travel 350 miles. If the price of gasoline was approximately $4.00 per gallon, how much less, to the nearest cent per mile, did it cost to run the car after the mechanic worked on it?
Answer:
Step-by-step explanation:
Correct answers only!
To the nearest cent, how much interest will he earn in 2 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer: $8.40
Step-by-step explanation:
The problem states that Scott has deposited $40 and is earning 10% interest, annually. It asks how much interest he will earn in 2 years to the nearest cent.
First, the formula given is B=p(1+r)^t. Since Scott deposits $40, 40 would be the starting amount, p.
B=40(1+r)^t
R is the interest rate: 10%. We plug in 0.10 instead of 10% because r is the interest rate, not the percentage.
B=40(1+0.10)^t
T is time: 2 years
B=40(1+0.10)^2
Now that we have the equation filled out, we plug this into a calculator.
48.4=40(1+0.10)^2
We know that the final amount is $48.40. Unfortunately, the question is asking how much interest is earned. To find that, you would subtract the Final-Initial to get the interest.
48.4-40=8.4
A survey in one middle school showed that 3 out of 5 students enjoy biking on the weekends. Predict how many out of the 972 students in the school would say they enjoy biking on the weekends.
Shreya built a wooden sculpture with the dimensions shown. Now she wants to paint it. How much paint does she need?
Answer:55.7 would be the answer.
Step-by-step explanation:
Answer:
the answer is 55.7
Step-by-step explanation:
because i got it right on edge 2021
which of the following is the best way of selecting a random sample
Answer:
I believe its c because a b and d are far off
Step-by-step explanation:
Subtract (3x^3+4x^2)-(2x^3+3x^2-x)
Answer:
X^3 + x^2 + x
Step-by-step explanation:
First, distribute the negative sign to the numbers in the second parentheses. Then you’ll need to combine like terms.
You buy a classic comic book for $45. You want to resell it and make a $15 profit. What percent do you need to markup the comic book?
33% profit
ratio: 15:45
That can be simplified into 1:3
The price is increased by $15, which is 1/3 of the original $45.
1/3 as a percentage is about 33%.
match the type of graph with its description
Answer:u tell me doc
Step-by-step explanation:
Problem:
The pile of blocks above weighs 2 pounds. How many ounces do the blocks weigh?
A
32 ounces
B
16 ounces
C
1 ounce
D
64 ounces
End
Session
the answer is 32 ounces this same queston is in my notes
hope it likes you...
Need help someone help !
Answer:
A = 2x^2 + 2x - 12
Step-by-step explanation:
A = (2x-4)(x+3)
(use FOIL to solve)
A = 2x^2 + 2x - 12
There are 81 women teachers at Russell High. If 45% of the teachers in the school are women, how many teachers are there at Russell High?
Answer:
180 teachers
Step-by-step explanation:
In this case, we know the value corresponding to 45% of female teachers which is 81, therefore, to find the total it would be:
% teachers #teachers
45 81
100 x
we apply the rule of three:
x = 100 * 81/45
x = 180
which means that there are a total of 180 teachers at Russell High
8 − (−11) = ? ..................................................................................................................
Answer:
+19
Step-by-step explanation:
8-(-11)= 8+11
8-(-11)=+19
Answer:
19
Step-by-step explanation:
8 - ( -11) =
8 + 11 =
19
The two negatives combine to make a positive.
What is a set of ordered pairs
Answer:
A relation is a set of ordered pairs. The set of all first components of the ordered pairs is called the domain of the relation and the set of all second components of the ordered pairs is called the range of the relation.
Step-by-step explanation:
The following table shows how many multiplication problems 4 students were able to solve in different amounts of time. For example, Murray solved 58 problems in 2 minutes.
Student Problems Minutes
Murray 58 2
Kris 78 3
Logan 84 3
Taylor 92 4
Which student solved problems at a rate of 28 per minute?
Answer:
logan
Step-by-step explanation:
84 divided by 3 = 28
Answer: Logan
Step-by-step explanation:
Here the given table,
Student : Murray Kris Logan Taylor
Problem : 58 78 84 92
Time(min) : 2 3 3 4
Therefore, Only Logan can solve the problem at the rate of 28 per minutes.
Can someone help me with this
Answer:
30.5 and 46
Step-by-step explanation:
The minimum is 30.5 and the maximum is 46
The length of an arc of a circle is 9.42cm. If the diameter of the circle is 10cm, find the angle subtended by the arc at the center of the circle. (Take π = 3.142)
SHOW ALL WORKING.
Answer:
1.89 radians or 108 degrees.
Step-by-step explanation:
Circumference of the circle = 10 * 3.142
= 31.42.
So 31.42 is equivalent to 2 pi radians, so:
Angle subtended at the center
= (9.42 / 31.42) * 2 pi
= (9.42 / 31.42) * 2 * 3.142
= 1.89 radians or 108 degrees..
what is the independent value
Which of these situations can be considered a binomial experiment?
A.
Drawing one marble from a bag containing 12 red and 8 blue marbles (replacing after each draw) until you have drawn 5 blue marbles
B.
Asking 25 students how tall they are and recording their answers
C.
Rolling a single number cube until you get a 5
D.
Tossing a coin 50 times and recording the number of times it lands on heads
Answer:
D. Tossing a coin 50 times and recording the number of times it lands on heads
Step-by-step explanation:
It is best to analyze each option and see if it meets the conditions of a binomial experiment or not, the most important thing is that the binomial distribution can be used when the results of each experiment / trace in the process are yes / no or success / failure .
A. Drawing one marble from a bag containing 12 red and 8 blue marbles (replacing after each draw) until you have drawn 5 blue marbles
Does not meet the conditions, although there are two options, The tests are not independent of each other. The result of one test does affect the results of subsequent tests. because there is a replacement.
B. Asking 25 students how tall they are and recording their answers
There are not two options
C. Rolling a single number cube until you get a 5
There are not two options
D. Tossing a coin 50 times and recording the number of times it lands on heads
Yes there are two options and they are events are independent of each other, therefore it is the correct answer.
Answer:
D. Tossing a coin 50 times and recording the number of times it lands on heads
Step-by-step explanation:
A P 3 X
The pot has a diameter of 10 inches a height of 12 inches. there are 120 meatballs each meatball is 2.4 inches. the sauce takes up half the pot already. determine if the sauce overflows or not. pls help its due in an hour! ):
the answer is c
Step-by-step explanation:
Please answer.....................................
Answer:
1.25 + r = 4
1.25 - 1.25 + r = 4 - 1.25
r = 2.75
first option is the answer
Step-by-step explanation:
1. subtract 1.25 from both sides
?????????????????????????????????????????????????????????????????????????????????????????????????????????yo pls help
Answer:
75 pieces
Step-by-step explanation:
Answer:
75
Step-by-step explanation:
You can use process of elimination, first, it's asking for pieces, not ounces, it's also must be larger than 45 since the other variable is increasing.
Round to nearest hundreth
Simplify, and then write in exponential form. Do not evaluate.
(7^2)^4
Answer:
7^8
Step-by-step explanation:
(7^2)^4
We know a^b^c = a^(b*c)
(7^2)^4 = 7^(2*4)
= 7^(8)
which of the following are true
Answer:
the 4 one maybe
Step-by-step explanation:
Determine which of the given numbers are zeros of the polynomial g(x)=x^4+6x^3-x^2-30x.
a.) 2, 3
b.) 0, -1
c.) 2, -1
d.) 0, 2
Answer:
d.) 0, 2
Step-by-step explanation:
I graphed the polynomial on the graph below to find the zeros of the function.
If this answer is correct, please make me Brainliest!
Question 1 (1 point)
What is the area of the SHADED sector of the circle?
162° H
O a
Ob
Oc
400 x units2
20 x units2
180 x units2
40.x units2
od
Question:
What is the area of the SHADED sector of the circle?
Image of the circle is attached.
A) 400π units²
B) 20π units²
C) 180π units²
D) 40π units²
Answer:
C) 180π units²
Step-by-step explanation:
From thr circle, we can see that the given radius is 20 and the shaded part is 162°
The formula to calculate the area of the shaded sector of a circle is =
Area of the circle * fraction of the shaded part of the circle.
We know area of a circle = πr²
Therefore, area of the shaded sector =
[tex] = \pi r^2 * \frac{162}{360}[/tex]
[tex] = 20^2 * \pi * 0.45 [/tex]
[tex] = 400 * 0.45 * \pi [/tex]
[tex] = 180 \pi [/tex]
Area of the shaded sector of the circle is 180π units²