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
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.
Solve each equation mentally.
2x = 10
-3x = 21
ws
1/3x = 6
- 1/3x = -7
Answer:
5, -7, 18, 14
Step-by-step explanation:
1) x = 5
2) x = -7
3) x = 18
4) x = 14
Whats the opposite of 8x
Answer:
-8x
Step-by-step explanation:
Answer:
x/8
Step-by-step explanation:
To find the inverse, interchange the variables and solve for y.
#10) Karen's mailbox is 30 feet from her front door. What is this distance in
meters?
Answer:
9.14400m
Step-by-step explanation:
1. The distance between two cities is 150 miles. What is 60% of that distance?
HELP PLSSSSSSS
60% as a decimal is 0.60
Multiply the distance by 0.60:
150 x 0.60 = 90 miles.
Answer:
90
Step-by-step explanation:
60 percent is the same as 0.6
150 * 0.6 = 90
PLEASE HELP
Which equation would you use to solve the following situation?
Ms. Green has 18 pencils at her desk. Students borrow some of the pencils, and 6 pencils are left at the end of the school day. How many pencils were borrowed?
x - 6 = 18
18 - x = 6
18 + 6 = x
Answer:
18-x=6
Step-by-step explanation:
because
if you have eighteen and some were borrowed and 6 were left so it will be subtracted
Answer:
18 - x = 6
Step-by-step explanation:
In any equation x is the unkown you are trying to figure out.
In a word-problem-solving question its helpful to set out what you know and what you dont know:
You know the original number of pens = 18
You know the final number of pens = 6
You dont know how many pens were taken.
Therefore x is the difference between 18 and 6.
18 pens take away x pens is equal to 6
hence 18 - x =6
what is the value of x?
Paul wants to find the center and radius of the circle defined by the equation x2+y2+10x−14y+40=2
Answer:
x-intercept(s):
None
y-intercept(s):
(0,7+√11),(0,7−√11)Step-by-step explanation:
The results favorite Nascar driver.
40% Ehrnhardt, 13% petty, 18% waltrip, 29% Gordon
(a) Order the popularity of the choices from greatest to least.
(b) It was estimated that 360 people were surveyed. If this was true, how many people would have voted for Ehrnhardt? Round to the nearest whole number. Show your work.
(c) 65 people voted for Petty. Was the estimate of total voters from Part (b) accurate? Explain.
Answer:
(a) Earnhardt (40%), Gordon (29%), Waltrip (18%), and Petty (13%)
(b) 144, work is below
(c) No
Step-by-step explanation:
(b)
convert 40% to a decimal by dividing by 100 = 0.4
360 x 0.4 = 144 people voted for Earnhardt
(c) converting Petty's percentage to a decimal, we get 0.13. 360 x 0.13 = 46.8, or 47 people, not 65.
Waltrip's percentage, 0.18 x 360 = 64.8, or 65 people.
HELP PLEASE!! WILL GIVE BRAINLIEST!!!
Answer: y = 3x + 1
Step-by-step explanation:
3 is the slope and 1 is the y-intercept
The measure of the minor arc BC is 63º. What is the measure of ZBAC?
Answer:
measure or arc BAC should be 297 degrees (with assumptions)
Step-by-step explanation:
Assumption 1: the cap Z in your question is actually an angle symbol
Assumption 2: A is the center of the circle
IF these assumptions are true, then the measure of arc BAC is 36 - 63 = 297 degrees
1/2 til 2:00? = what time
Answer:
the answer is 1:30pm/am
What is the value of x in the triangle? A. 21 B. 10 C. 7 D. 7√3
Answer:
A.21
Step-by-step explanation:
We can use trigonometry to slove for sides in this triangle...
Using the 60 degree angle...we can solve for x.
We are dealing with adjacent and opposite sides, so we use the tangent function in the calculator.
And since we're using tangent, we have to use opposite/adjacent
We have tan60=x/7sqrt3-multiply the adjacent side(7qrt3) to the other side,
and we have 7sqrt3tan60=x--enter this in to you're calculator, and you should
get an answer of 21
12.) Rachel is comparing the cost of two parking garages. Garage A charges a flat fee of $6 to park plus $0.50 per hour.
Garage B charges a flat fee of $2 to park plus $1 per hour. Write an equation then find after how many hours will the
cost at garage A and garage B be the same? What will that cost be? (4 points total)
Answer:
The equation: 6 + 0.5x = 2 + 1x
How many hours till the cost is the same: 8 hours
What will the cost be: $10
Step-by-step explanation:
6 + 0.5x = 2 + 1x
subtract 0.5x from both sides
6 = 2 + 0.5x
subtract 2 from both sides
4 = 0.5x
divide both sides by 0.5
x = 8
Lets check our work:
Garage A:
6 + 0.5(8)
6 + 4 = 10
Garage B:
2 + 1(8)
2 + 8 = 10
After 8 hours the price for both garages will be equal at $10
Cuánto es 187+165= porfas ayudenmeeee boran monzooooon ayudaaaaa por fas
Answer:
dont spread Spanish but 187 + 165= 352
The lines represented by the equations by - x = 5 and y = { x = 1 are
are they parallel or perpendicular
Answer:
Parallel
Step-by-step explanation:
Let the required lines be y-x = 5 and y = x-1
If y-x = 5
y = x + 5
The slope m = 1
For the line y = x - 1
The slope m is also 1
Since the slope of both lines are the same, hence both liens are parallel
What is the circumference of the circle
below?
Danielle constructs a scale model of a building with a rectangular base. Her model is 2 inches in length and 1 inch in width. The scale on the model is 1 inch = 47 feet. What is the actual area, in square feet, of the base of the building? in ft2
Answer: The actual area of the base of the building = 4418 square feet.
Step-by-step explanation:
Dimensions of model: 2 inches in length and 1 inch in width.
The scale on the model is 1 inch = 47 feet.
Actual length = 2 x (47 feet) = 94 feet
Actual width = 1 x 47 feet = 47 feet
Actual area of base of building = (Actual length) x (Actual width)
= 94 x 47 square feet
= 4418 square feet
Hence, the actual area of the base of the building = 4418 square feet.
Which quadrant in the coordinate plane below has positive x and negative
y values?
Answer:
2 or ii
Step-by-step explanation:
☆
Paused
At 7 pm the temp was 5°F. At 12 am the temp was -7°F. What was the change in temp?
Answer: 12°
Step-by-step explanation:
add together 7 and 5 to get the change since 7 is negative
5 to -7 is 12 units
Example 2
Let f(x) = 3x2 - 1. Find each of the following
a. f(9)
b. f(-2)
HELP PLS
Answer:
Step-by-step explanation:
f(9) = 3(9)^2 - 1 = 242
f(-2) = 3(-2)^2 - 1 = 11
This recipe makes 8 flapjacks.
How much of each ingredient is needed to make 12 flapjacks by following this recipe?
Recipe: Makes 8 flapjacks
140 g margarine
120 g sugar
100 mL syrup
240 g oats
50 g raisins
Answer:
Margarine = 210 gram
Sugar = 180 gram
Syrup = 150 ml
Oats = 360 gram
Raisins = 75 grams
Step-by-step explanation:
Given:
Recipe for 8 flapjacks
140 g margarine
120 g sugar
100 mL syrup
240 g oats
50 g raisins
Find:
Recipe for 12 flapjacks
Computation:
Margarine = [140/8]12
Margarine = 210 gram
Sugar = [120/8]12
Sugar = 180 gram
Syrup = [100/8]12
Syrup = 150 ml
Oats = [240/8]12
Oats = 360 gram
Raisins = [50/8]12
Raisins = 75 grams
7 1/5 improper fraction
Answer:
12/5
Step-by-step explanation:
7 1/5=
Answer:
[tex] \frac{36}{5} [/tex]
Step-by-step explanation:
consider downloading photomath
pls help me this is hard and i dont wanna fail :(
Answer:
i got -252
remember pemdas! i dont think youll fail good luck :D
Help please help me
Answer:
Step-by-step explanation:
Range = maximum value - minimum value
= 25 - 6 = 19
Option D is the correct answer
2x + 3y = 5x - y
Complete the missing value in the solution to the equation.
( _ , 0 )
Answer:
(4y/3, 0) or if there are no options, it's probably (0, 0)
Step-by-step explanation:
2x + 3y = 5x - y
So we are trying to find the missing value in the solution (_, 0)
We are looking for the x-intercept/root if the coordinate is in this way: (_, 0)
So to find the root, We are solving for x
2x + 3y = 5x - y
First, subtract 5x from bth sides
2x + 3y - 5x = 5x - y - 5x
2x + 3y - 5x = -y
Add like terms
-3x + 3y = -y
Now, subtract 3y from both sides
-3x + 3y - 3y = -y - 3y
-3x = -4y
Divide both sides by -3
-3x/-3 = -4y/-3
x = -4y/-3
We are not done yet because the answer above is not quite right. A negative number divided by a negative number results in a positive number.
So x = 4y/3
Now that we found x, we can input it to the coordinate
(4y/3, 0)
I put it on Sesmos graphing calculator and the answer seems to be (0, 0)
During Marta's last youth league soccer game, the starting players for each team had varied heights. The following is a list of their heights in inches.
61, 59, 64, 67, 60, 63, 60, 58, 63, 58, 64, 65, 60, 64, 63, 59, 65, 58, 66, 59, 63, 56
What is the median height for a starting player on the two teams?
You buy 2 pencils and 3 erasers for $4. How might this look as an equation?
Answer:
2x+3y=4 I don't know the variables so I use x and y
Determine the slope between the points ( 4, 5 ) and 3, -1 )
Answer:
6
Step-by-step explanation:
Evaluate of the expression when b = -2 and c = 3 ?
9b + 8C + 1 - 6b - 5C - 6.
The value when b = -2 and c = 3 is ?