Answer:
A.P(t) = Po (1 + r)^t
P(t) = 1200( 1 + 0.024)^t
B. 1417 termites
Step-by-step explanation:
Rosanne and Jimmy are looking to purchase a house. They found one that they like, but the inspection report showed that there was a problem. The foundation has termites. The report states that the foundation of a house has 1200 termites. The termites grow at a rate of about 2.4% each day.
A. Formulate an equation in exponential form that represents the termite situation.
The formula for exponential growth or increase =
P(t) = Po (1 + r)^t
Where:
P(t) = Population growth after time t
P(o) = Initial Population = 1200 termites
r = Growth rate = 2.4% = 0.024
t = Time in days
Hence, the equation in exponential form that represents the termite situation is given as:
P(t) = 1200( 1 + 0.024)^t
B. The extermination is scheduled out for one week from the date of the report. Use your equation to determine how many termites will be in the home at the time of the extermination.
The time of extermination = 1 week
1 week = 7 days
Hence,
t = 7 days
P(t) = Po (1 + r)^t
P(7) = 1200( 1 + 0.024)⁷
P(7) = 1200(1.024)⁷
P(7) = 1416.7099449 termites
Approximately
= 1417 termites
What is the first step in
solving the equation
2(x-4)=-3(x+2)?
Answer:
Step-by-step explanation:
Answer:
Distributing
Step-by-step explanation:
The first step is to get the x's out of parenthesis. Distribute the 2 into the (x-4), and the -3 into (x+2).
ex. 2(x-4) = -3(x+2)
distribute: 2x-8= -3x+6
Then solve for x.
Hope this helps!
60% of the students in the marching band are girls there are 30 girls in a marching band how many students are there altogether?
Answer: 50
Step-by-step explanation: 60 divided by 30= 2 this means that 1 kid equals two percent 100 percent minus 60 percent= 40 percent 40 divided by 2= 20
20 plus 30= 50 so 50 kids are in the marching band
when the cube root of a positive number “n” is squared, the result is 5, what is the value of “n”?
A) 2.9
B) 3.8
C) 11.2
D) 25.0
E) 42.7
type out explanation for brainliest :)
Answer:
A)2.9 is the value of "n".
Plz give me ans.
When.
....
Answer:
Step-by-step explanation:
Length : Breadth : height = 3 : 4 : 6
Length = 3x
Breadth = 4x
Height = 6x
Volume of cuboid = 576 sq.cm
length * breadth * height = 576
3x * 4x * 6x = 576
72x³ = 576
x³ = 576/72
x³ = 8
x³ = 2³
x = 2
Length = 3*2 = 6 cm
Breadth = 4* 2 = 8 cm
Height = 6*2 = 12 cm
Total surface area = 2*(lb + bh + hl)
= 2 * (6*8 + 8*12 + 12*6)
= 2 * (48 + 96 + 72)
= 2 * 216
= 432 sq.cm
Need help ASAP plz
What is the slope of (1,4) (7,2)
Answer:
3 or 3/1
Step-by-step explanation
the equation for finding the slope when given two coordinate pairs is (y₂ - y₁)/(x₂ - x₁), aka change in y over change in x.
pick one of your coordinate pairs to be y₂ and x₂. it doesn't matter which coordinate pair you choose. the remaining coordinate pair will be your y₁ and x₁.
for this example, i'll use the coordinate pair (7, 2) as my y₂ and x₂ and (1, 4) as my y₁ and x₁.
first, substitute the x-value and y-value from the first coordinate pair.
(y₂ - y₁)/(x₂ - x₁) ⇒ (7 - y₁)/(2 - x₂)
then substitute the y-value and x-value from the remaining coordinate pair.
(7 - y₁)/(2 - x₂) ⇒ (7 - 4)/(2 - 1)
subtract 7 - 4.
(7 - 4)/(2 - 1) ⇒ (3)/(2 - 1)
subtract 2 - 1.
(3)/(2 - 1) ⇒ (3)/(1) or 3/1
simplify.
3/1 ⇒ 3
i hope this helps! have a great day <3
Work out 23% of 42.
Give your answer correct to 1 decimal place.
The value of 23 % of 42 is 9.7
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number be A = 42
Now , let the percentage of the number A = 23 %
And , the equation will be
The 23 % of the number be = y
So , y = 23 % of 42
And , the equation is
y = ( 23 / 100 ) x 42
y = 0.23 x 42
On simplifying the equation , we get
y = 9.66
y ≈ 9.7
Therefore, the value of y is 9.7
Hence , The value of 23 % of 42 is 9.7
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URGENT!!!!
Which of the following equations would not contain the point (4,12) y=3/4x+9 y=-1/2x+14 y=1/2x+8 y=-2x+20
Answer: y = 1/2x + 8
Step-by-step explanation:
How far is the portion of her route from D to F? Round to the nearest whole number. Explain.
Answer:
DF = 1213ft
Step-by-step explanation:
The graph of y= f(x) is shown below. What is the value of f(-3)
The value of the function at x = -3 is -1
What is function?A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range.
Given that a graph of y= f(x), we need to find f(-3)
The graph tells the value of y when x = -3 is -1
Hence, The value of the function at x = -3 is -1
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A painter is painting a rectangular wall that measures 23.6 ft by 19.2 ft. Each gallon can of paint covers 200 square feet. What are the fewest gallons needed to paint the wall?
Answer:
3 gallons
Step-by-step explanation:
Length of the rectangular wall = 23.6 feet
Width of the rectangular wall = 19.2 feet
Surface area of the wall = 23.6 × 19.2
= 453.12 square feet
∵ 200 square feet of the wall is covered by the amount of paint = 1 gallon
∴ 1 square feet of the wall will be covered by the amount of paint = [tex]\frac{1}{200}[/tex] gallons
∴ 453.12 square feet will require the amount of paint = [tex]\frac{453.12}{200}[/tex]
= 2.2656 gallons
Therefore, minimum 3 gallons will be required to paint the wall.
Andre received and spent money in the following ways last month. For each example, write a positive or negative number to represent the change in money from his perspective.
His uncle gave him $25 as a present.
Step-by-step explanation:
Let the amount of money Andre has be $A.
Answer:
+25
Step-by-step explanation:
I know this is old but since it says his uncle GAVE him 25$ as a present, that means he earned money not lost money. So it would be +25.
then find the measure of both angles??
Answer:
i so sory i dont know :(
Step-by-step explanation:
Help my friendddddddddddd
Answer:
It would be a positive correlation
Step-by-step explanation:
v=u + at
u= 2
a = -5
t = 1/2
Work out the value of v.
Answer: -1/2
Step-by-step explanation:
V=2+(-5)*1/2
Answer:
V=u+at
=2+(-5)/0.5
= - 3/0.5
V=-6
Mike read 1/4 of the newspaper in 1/3 of an
hour. How long did it take him to read the
whole paper?
6/12x - 10 = 30 solve for x
Answer:
x = 80
Step-by-step explanation:
(6/12)*x-10 = 30 // - 30
(6/12)*x-30-10 = 0
1/2*x-40 = 0 // + 40
1/2*x = 40 // : 1/2
x = 40/1/2
x = 80
Hi there!
x=80
1.Multiply the terms:
[tex]\frac{6}{12}[/tex]·[tex]80=\frac{480}{12}[/tex]
2.Divide the fraction term:
[tex]\frac{480}{12}=40[/tex]
3.Subtract the two terms:
[tex]40-10=30[/tex]
This means, x=80..
HELP OML I JUS WANT ANSNWER
Answer:
c....
i think
Step-by-step explanation:
Please help the problems are in the picture provided below.
Answer:
Top Left= 40yd²
Top Right= 441yd²
Bottom Left= 21ft²
Bottom Right= 105ft²
Step-by-step explanation:
Top left- 10×4= 40
Top right- 21×21= 441
Bottom right- 7×3= 21
Bottom left- 15×7=105
when calculating probability, we give our answers as a
Answer:
Step-by-step explanation: work
Apply the power of a power property to simplify the expression (y^4/3 X y^2/3)^-1/2 = (^2)^-1/2
Answer:
1/y (c)
Step-by-step explanation: Don't listen to the other person he taking things but i promise you will get this right
I need help with this
Answer:
its d
Step-by-step explanation:
the slope is -20 because for every 30 seconds the altitude gets smaller by 600 feet. 600/30=20 so its going down 20 feet per second.
Emma receives a large box in the mail.The box is 10cm longer than it wide,and the height is 6 cm more than the width
Answer:
y³+16y²+60y
Step-by-step explanation:
Complete question
Emma receives a large box in the mail. The box is 10cm longer than it wide, and the height is 6 cm more than the width. Find the polynomial function for volume of the box
Let the length be x
Let the width be y
let the height be z
If the box is 10cm longer than it wide, then x = y + 10
Also if the height is 6 cm more than the width,
z = y + 6
Volume of the box = xyz
Substitute
Volume of the box = (y+10)(y)(y+6)
Volume of the box = (y+10)(y²+6y)
Volume of the box = y³+6y²+10y²+60y
Volume of the box = y³+16y²+60y
Hence the required polynomial function is y³+16y²+60y
Note that the question asked was assumed
You can add ________ without changing either fraction's denominator.
A
1/3 and 1/2
B
3/7 and 4/5
C
2/3 + 2/5
D
2/5 and 3/5
Answer:
D I believe (so 2/5 and 3/5)
Answer:
D
Step-by-step explanation:
Because D has same dominator and you don’t change dominator when adding fractions
Hope this helps.
Mark brainliest if it help.
I want these answered please I don't have that much time.
Answer:
1. -4
2.8
3.2
4.-11
5.-8
6.-7
7.12
8.-6
9.-9
10.?
11.-2
12.-4
13.-50
14.16
Step-by-step explanation:
Find the constant of proportionality. what is the percent decrease? the input is 20 and the output is 16. I’ve been stuck on this problem for a long time please help!
Answer:
80%
Step-by-step explanation:
Rena's rowboat drifts 23 feet from shore,
followed by 9 more feet. The rowboat's current
position can be represented by -23 + (-9). What
integer represents the rowboat's position?
Answer: 23 + 9 = 32
Step-by-step explanation:
A line with a slope of 9 passes through the points (8, – 7) and (9,z). What is the value of z?
Answer:
x
Step-by-step explanation:
Find the slope for the points (5,7) and (8,4)
Answer:
-1
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-7)/(8-5)
m=-3/3
m=-1
Answer:
m = -1
Step-by-step explanation:
m represents the slope.
Please help
Solve each equation or formula for the specified variable.
y= 1/4x -12,for x
Answer:
Step-by-step explanation:
Y = 1/4x - 12
Adding 12 on both sides
12y = 1/4x
12y/ 1/4 = x
3y = x
messed up, thought it said 2 lol ignore my answer
Select the correct answer.
Find the solution(s) for x in the equation below.
x^2+10x+21=0
Answer:
Hope this helps
Step-by-step explanation:
x= -3, -7
Answer:
x = -7, -3
Step-by-step explanation:
Try to factor the left side of the equation.
(x +7)(x + 3) = 0 Remember that if AB = 0, then A = 0 or B = 0 or both A and B = 0
Therefore, x + 7 = 0 or x + 3 = 0
x = -7 or x = -3