Answer:
The population will be 863 in the next eight years
Step-by-step explanation:
Here, we want to know the population of the town in 8 years, given the percentage decrease and the present population
The exponential equation to use is that;
P = I( 1 - r)^n
where P is the future population we want to calculate
I is the present which is 2,400
r is the percentage of decay given as 12% = 12/100 = 0.12
n is the number of years which is 8
Substituting these values, we have that
P = 2,400(1 - 0.12)^8
P = 2,400(0.88)^8
P = 863
beth got a job painting dorm rooms at her college. At top speed, she could paint 5 identical rooms during one 6-hour shift. How long did she take to paint each room?
Answer:
Step-by-step explanation:
Beth is painting at a rate of 6/5=1 1/5 room per hours
The time taken by Beth to paint a single rooms is (6/5) hours per room or 1 1/5 hours per room.
What is Division?Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that at top speed, Beth could paint 5 identical rooms during one 6 hour shift. Therefore, the time it will take for Beth to paint a single room is,
Time for a single room = Time taken to paint / Number of rooms
= 6 hours / 5 rooms
= (6/5) hours per room
= 1 1/5 hours per room
Hence. the time taken by Beth to paint a single rooms is (6/5) hours per room or 1 1/5 hours per room.
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Consider the two expressions. Expression 1: -4(9x-2)+3
Expression 2: -36x+k
What value of k will make the two expressions equivalent?
Answer:
11
Step-by-step explanation:
first, distribute the negative four in Expression 1: -36x+8+3
next, set that equal to Expression 2: -36x+11 = -36x+k
finally, add 36x to both sides: 11 = k
Which answer is an equation in point-slope form for the given point and slope?
Point: (1,9); Slope: 5
A) y−1=5(x+9)
B) y−9=5(x−1)
C) y+9=5(x−1)
D) y−9=5(x+1)
Answer:
B [tex](y-9)=5(x-1)[/tex]
Step-by-step explanation:
Formula of straight line in Point slope form
[tex](y-y_1)=m(x-x_1)[/tex]
Here
[tex]m=5 \ and \ (x_1, y_1)=(1, 9)[/tex]
therefore equation of line having slope 5 and passing through point )1, 9) is given as
[tex](y-9)=5(x-1)[/tex]
Answer:
Francine has just set up her Christmas tree. 40% of her ornaments are red. If she has 30 ornaments, then how many are red?
Step-by-step explanation:
Please help me out with this
Answer:
10
Step-by-step explanation:
2+2+6
Answer:
10
Step-by-step explanation:
The right side of the graph shows the sum of the cars. 2 black Impala's + 6 white Impala's + 2 red Impala's = 10 total Impala's (that is, if all of the Impala's are one solid color)
how many terms of series 64+16+4 have the sum 5461\64?
Answer:
5th term will approximate 5461/64
Step-by-step explanation:
5th term will approximate 5461/64
64+16+4+1+0.25 = 85.25 ≈ 5461/64 = 85.33
I need help someonehelp me
Answer:
∠ F ≈ 78°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cosF = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{FG}{EF}[/tex] = [tex]\frac{1.5}{7.5}[/tex] , then
∠ F = [tex]cos^{-1}[/tex] ([tex]\frac{1.5}{7.5}[/tex] ) ≈ 78° ( to the nearest degree )
Find the unit rate.
18 push-ups in 3 days= ??
A mechanic is constructing the metal structure shown.
Both F) and IK measure 4 m and are perpendicular to GH. The measure of ZKIH = 40° and GJ HK.
What is the measure of ZFGJ?
A. 20°
O B. 40°
O C. 50
O D. 90°
Answer:
C) 50°
Step-by-step explanation:
Δ FJG ≅ Δ IKH
∡J = 90
∡I and ∡F = 40
therefore, ∡G = 180 - (90+40) = 50°
Kera earns $12 per hour at her job. Every day she also earns $15 for walking her neighbor’s dog. She has decided to save all of her earnings for college. If x represents the number of hours she works, write an expression that represents the total amount Kera will save for college each day.
Answer:
nah
Step-by-step explanation:
The perimeter of a triangle is 38 inches. Two sides of the triangle measure 12 inches and 10
inches. What is the length of the third side of the triangle?
Answer:
16
Step-by-step explanation:
38-12-10=16
Answer:
16
Step-by-step explanation:
155 Divided By 9,765
Answer:
0.0158730159
Explanation:
Can someone help please
3x-(-3-x)=-1
pls answer this
Step-by-step explanation:
Apply rule: 3x+3x =-1
Add similar elements: 6x=-1
Divide both sides by six
Simplify: x= -1/6
Identify and state the pattern of odd number and even numbers for the following sequences of numbers.
a) 11, 16, 19, 24,..., 83, 88
Answer:
Step-by-step explanation: add 5, add 3
24+5= 29,
29+3= 32,
etc
To which subsets of the real number system does -16 belong?
Answer:
natural numbers, rational numbers, integers, whole numbers, real numbers
-16 belongs to the set of the integers and rational numbers.
Given that,
To discuss to which subsets of the real number system -16 belong.
A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.
Here,
Number -16 is an integer and rational number, also primarily it is a real number,
So real number is set an integer and a rational number is subsets for the number -16
Thus, -16 belongs to the set of integers and rational numbers.
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HELP PLEASE 13 POINTS!!!!!! SUPER EASY
John invested his inheritance of $12000 in 3 different funds part in a money market fund paying 3% interest annually Parton monusco bonds paying 4% annually and the rest in mutual funds paying 7% annually John invested 4000 more in mutual funds than he invested in municipal bonds the total interest in one year with $670
Answer:
John invested $2,000 in money-market fund, $3,000 in municipal bonds, and $7,000 in mutual funds.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
John invested his inheritance of $12,000 in three different funds: part in a money-market fund paying 3% interest annually; part in municipal bonds paying 4% annually; and the rest in mutual funds paying 7% annually. John invested $4,000 more in mutual funds than he invested in municipal bonds. The total interest earned in one year was $670. How much did he invest in each type of fund?
The explanation of the answer is now given as follows:
Let a, b and c represent the amount invested in money-market fund, municipal bonds and mutual funds respectively. Therefore, the sum of the three principal amounts can be represented as follows:
a + b + c = 12,000 ……………………….. (1)
Since John invested $4,000 more in mutual funds than he invested in municipal bonds, we have:
c = b + 4,000 ……………………………. (2)
The total amount of interest earned from each fund can be represented as follows:
0.03a + 0.04b + 0.07c = 670 ………………. (3)
Substituting equation (2) into equation (1), we have:
a + b + b + 4,000 = 12,000
a + 2b = 12,000 – 4,000
a + 2b = 8,000
a = 8,000 – 2b ……………………….. (4)
Also, substituting equation (2) into equation (3), we have:
0.03a + 0.04b + 0.07(b + 4,000) = 670
0.03a + 0.04b + 0.07b + 280 = 670
0.03a + 0.04b + 0.07b 0 = 670 – 280
0.03a + 0.11b = 390 ,,,,,,,,,,,,,,,,,,,,,, (5)
Substituting equation (4) into equation (5) and solve for b, we have:
0.03(8,000 – 2b) + 0.11b = 390
240 – 0.06b + 0.11b = 390
240 + 0.05b = 390
0.05b = 390 – 240
0.05b = 150
b = 150 / 0.05
b = 3,000
Substituting b = 3,000 into equation (2), we have:
c = 3,000 + 4,000
c = 7,000
Also, substituting b = 3,000 into equation (4), we have:
a = 8,000 – (2 * 3,000)
a = 8,000 – 6,000
a = 2,000
Therefore, John invested $2,000 in money-market fund, $3,000 in municipal bonds, and $7,000 in mutual funds.
Write a mathematical expression for the following.
"The product of a number and five is decreased by three."
Answer:
x=y-3
Step-by-step explanation:
okay, so first, we have to understand what the words mean.
PRODUCT: means the answer to a multiplication question
DECREASED: taken away or to make smaller
AND: addition or add
We can use X for "product" and Y for "a number"
now we can write it out:
x=y+5-3
OR
y+5-3=x
3(2x+ 1) for x = -8
Hi
Answer:
-45
Step-by-step explanation:
inside the parentheses: 2*-8= -16
-16+1=-15
3 (-15)= -45
Answer:
-45
Step-by-step explanation:
hello
Please help me out with this one
Answer:
is it not just 3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Find the intersection of Red and Cruze, and you get the box with 3
Please help!!! I’ll mark the best answer brainliest!! (look at the photo)
Go with ÷5 its the most closest while the rest are no where to be found.
help due in 10 minutes
Answer:poster 10 hours ago
Step-by-step explanation:
me reads it is due in 10 min
w/4 -4 = 3
this is w over 4
solve the equation and show process
Answer:
w=28
Step-by-step explanation:
multiply both side by 4:
[tex]4*(\frac{w}{4} -4)=3*4\\4*\frac{w}{4}-16=12\\w-16=12[/tex]now add +16 in both side:
[tex]16+w-16=12+16\\w=28[/tex]
Solve this please ( sorry if u cant see it clearly)
Answer:
3 I did it already..................
Step-by-step explanation:
3
Answer:
3
Step-by-step explanation:
observe the choices and choose the closest choices. MR/MP=RQ/NP THE HINT IS "NP".
Solve the equation: explain in detail please! I will mark brainliest.
X/5 + 6 = 10
44
30
20
-20
Answer:
x = 20
Step-by-step explanation:
The way to solve these problems is by isolating x (getting it by itself on one side).
So let's look at the operations needed! First of all, there's currently a +6 hanging out next to x. We don't want that, so we subtract 6 from both sides.
x/5 + 6 = 10
-6 -6
x/5 = 4
We now see that x is being divided by five. To get just x, we can now multiply both sides by five to get rid of that fraction.
x/5 = 4
*5 *5
x = 20
The price of a bicycle was reduced from $120 to $90. By what percentage was the price of the bicycle reduced?
Answer:price of the bicycle was reduced by 25%
Step-by-step explanation:
Step 1
Old Price of bicycle = $120
New Price of bicycle= $90
Price decrease= $120-$90= $30
Step 2
Percentage decrease = Decrease / Original price x 100
= (30/120) x 100
1/4 x 100
= 25%
Therefore the percentage decrease in the price is 25%
can someone help me find out what is 48y-24
Answer:
24(2y-1)
Step-by-step explanation:
(pls mark me brainliest)
is a hotdog a taco or a sandwitch?
Answer:
Step-by-step explanation:
None of them
5n+2(11-h)=-5
please help me find the answer and step by step
Answer:
Step-by-step explanation:
Answer:
[tex]5n + 2(11 - n) = - 5 \\open \: brackets \\ 5n + 22 - 2n = - 5 \\ 5n - 2n = - 5 - 22 \\ 5n - 2n = - 27 \\ 3n = - 27 \\ n = \frac{ - 27}{3} \\ n = - 9[/tex]
In the following, after distributing and solving, find the error.
6(x + 8) = 72
6x + 48 = 72
6x + 48 + 48 = 72 + 48
6x = 120
X = 20
What was the error and explain then give the correct answer.