Answer:
Approximately 23.91 acres of farmland after 64 years.
Step-by-step explanation:
A town has 15 acres of farmland.
It plans to increase 6% every 8 years.
We can set up equation for the increase.
A=P[tex](1+r)^{\frac{t}{8} }[/tex]
From the given information
P= 15
r=0.06
t=64
Plug in these values into the formula
A=15[tex](1+0.06)^{\frac{64}{8} }[/tex]
Simplify it
A=15[tex](1.06)^{8}[/tex]
Simplify further
A=23.90772...
Approximately 23.91 acres of farmland after 64 years.
2.) Monica deposits $400 into a savings account that has a simple interest rate of 3.4%. Paul deposits $500 into a savings account that has a simple interest rate of 2.3%. Who earned more interest in one year?
Answer:
im preety shure monica because with 3.4 % that is more than 2.3% and that is what they want to know so its monica
Step-by-step explanation:
A colony of 15000 bacteria doubles in size every 470 minutes. What will the population be 940 minutes from now ?
Answer:
60,000
Step-by-step explanation:
Which ratio is equivalent to the ratio 33:39?
The ratio which is equivalent to 33:39 is 11:13
Equivalent ratioAn equaivalent ratio are fraction whose value are equal and are integral multiples of each other.
For example 1:2 = 2:4
Since 1:2 = 1 × 2 : 2 × 2 = 2 : 4
Also, 2:4 = 2 ÷ 2: 4 ÷ 2 = 1 : 2
We see that 1:2 and 2:4 are equivalent since we multiply 1:2 by 2 to get 2:4 or divide 2:4 by 2 to get 1:2.
Finding the equivalent ratio to 33:39So, to find the ratio equivalent to 33:39, we write 33:39 in its simplest terms.
So, 33:39 = 11 × 3 : 13 × 3
= 11 : 13
So, the ratio which is equivalent to 33:39 is 11:13
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Rudy delivers Chinese and earns $7.50 an hour. He averages about $6 per hour in tips. About how much does he earn in a 40 hour week?
Answer:
540 dollars
Step-by-step explanation:
You multiply 7.50 by 40 and get 300, then you multiply 6 times 40 and get 240, and you will add 300 plus 240 and get 540
Write a system of linear equations for the graph below.
Answer:
y=-1/2x+2
y=-3x-3
Step-by-step explanation:
Slope is rise/run, so finding slope is looking at y/x of the lines in between two points.
Then finding the y-intercept you look along the y-axis where the line passes through and what the value there is (look out for positive or negative!).
An 11 pound turkey costs $15.00, while the 16 pound turkey is on sale for $20.00. How much would you save with the sale price?
A triangle has angles of 124, 28° and 28º. Using the given angle measures, how many triangles can be formed?
Answer: 340
Step-by-step explanation:
This problem is completing our example from the end of the recording today.) We have a 20 foot ladder and lean it against the house at a 75 degree angle with the ground. a) How far up the house does the ladder reach? b) How far from the house is the bottom of the ladder?
Answer:
a) The ladder reach 19.32 foot up the house
b) The bottom of the ladder is 5.18 foot from the house
Step-by-step explanation:
An illustrative diagram of the scenario is attached below.
From the diagram, we have a right angle triangle with the length of the ladder being the hypotenuse. The opposite indicates how far up the house the ladder reach and the adjacent indicates the distance of the bottom of ladder from the house.
a) To determine how far up the house the ladder reach, that is the opposite. Let the opposite be y
From the formula
Sinθ = Opposite / Hypotenuse
Where θ is the angle subtended
Here θ = 75°
Hypotenuse = 20 foot
∴ sin75° = y / 20
y = 20 × sin75°
y = 20 × 0.9659
y = 19.32 foot
Hence, the ladder reach 19.32 foot up the house.
b) To determine how far from the house the bottom of the ladder is, that is the adjacent. Let the adjacent be x
From the formula
Cosθ = Adjacent / Hypotenuse
Where θ is the angle subtended
Then,
cos75° = x / 20
∴ x = 20 × cos75°
x = 20 × 0.2588
x = 5.18 foot
Hence, the bottom of the ladder is 5.18 foot from the house.
A shirt cost $45.00. If Gina has a coupon for 15% off, how much money will she save?
Answer:
6.75$
Step-by-step explanation:
PLEASE HELP!! 20 POINTS
Answer:
The construction describe :---
b) The perpendicular bisector of AB.
in a hall, there are 3 boys to every 4 girls. if there are 36 more girls than boys, how many children are there in the hall?
Answer:
I believe the answer is that there are 252 children in the hall in total.
Step-by-step explanation:
60 Points solve for x and show work -x + 6 = 4
Answer:
-x=-6+4
-x = -2
x= 2
Step-by-step explanation:
make it braintliest please
stan earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday evening. He earned $160 in all. To the nearest hour, what is the least number of hours Stan would have to work to earn this much money?
Answer:
8 hours
Step-by-step explanation:
Calculator 60 divided by 7.55= 7.94 round to 8
The amount of time Stan works to earn $160 will be 7.94 hours.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that Stan earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday evenings. He earned $160 in all.
The working time will be calculated by making an equation assuming the working time to be x hours.
7.55x + 100 = 160
7.55x = 160 - 100
7.55x = 60
x = 60 / 7.55 = 7.94 hours.
Therefore, the amount of time Stan works to earn $160 will be 7.94 hours.
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PLS ANSWER THE QUESTION AND HELP ME SOLVE THE EQUATION
Answer:
40 + 2x = 180
Step-by-step explanation:
Since it is an isosceles triangle, there will be 2 angle x's and all angles will equal to 180 degrees, therefore the equation that will help with finding the measurement of angle x is 40 + 2x = 180.
What do you call the inputs or the X values of a function? A. Functions B. Domain C. Range D. Relation
Answer: Domain
Step-by-step explanation: I don’t know how to explain it but I hope you understand it!
h(n) = 3n+ 5
g(n)=n + 3
Find (h - g)(n)
Answer:4r4r3r434r3r4vcc4cvg4vxc
4r4r4r4r4r4r4r4r344r3r3
r44r3rStep-by-step explanation:
0 × 4 - 2 × (4² ÷ 4) ÷ 2 ÷ 1/2 + 9. = 10 × 4 - 2 × (16 ÷ 4) ÷ 2 ÷ 1/2 + 9 = 10 × 4 - 2 × (4) ÷ 2 ÷ 1/2 + 9 -10 ÷ (20 ÷ 2² × 5 ÷ 5) × 8 - 2.
I NEED HELP! WHAT IS THIS! I'LL GIVE YOU 15 POINTS
Answer:
5=5=5
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
pls someone help me with all of them
Answer: 7 is B
8 is G
9 is C
10 is F
Step-by-step explanation:
Write the equation of the function whose graph is shown.
On a coordinate plane, a parabola opens up in quadrant 1. It goes through (2, 12), has a vertex at (5, 3), and goes through (8, 12).
Answer: y = 1(x + -5)^2 + 3
Step-by-step explanation:
Answer For Entire Assignment!!
Page 1: (B), (C)
Page 2: (D), (A)
--> Page 3: 1, -5, 3
Page 4: Right 8, Down 6
Page 5: Complete the square to get the equation in vertex form with
a = -16, h = 1, and k = 19. The path is a reflection over the x-axis and narrower. It is also translated right 1 unit and up 19 units.
Page 6: (C)
Page 7: 1, -5 and -3, 2
Page 8: 1, 1 , 1, 2
Page 9: 3, 1
Page 10: 4, -32 and 2, -15
Page 11: (B), (D), (E)
Get that 100. Trust.
Which is the correct simplified version of the expression shown below after distributing and combining like terms?
4(9- 3/4) + 6x
Group of answer choices
9x + 36
-9x + 13
3x + 36
None of the above.
An ordinary deck of playing cards has 52 cards. There are four suitsspades, hearts, diamonds, and clubswith 13 cards in each suit. Spades and clubs are black; hearts and diamonds are red. One of these cards is selected at random. Let A denote the event that is chosen. Find the probability that is chosen, and express your answer in probability notation.
Complete question is;
An ordinary deck of playing cards has 52 cards. There are four suits
-spades, hearts, diamonds, and clubs
-with 13 cards in each suit.
Spades and clubs are black; hearts and diamonds are red. One of these cards is selected at random. Let A denote the event that a red card is chosen.
Find the probability that a red card is chosen, and express your answer in probability notation.
Answer:
P(A) = 0.5
Step-by-step explanation:
We are told that the ordinary deck of playing cards has 52 cards.
Now, there are four suits
-spades, hearts, diamonds, and clubs
-with 13 cards in each suit.
Now, in a standard set of playing cards, there are 13 black spades and 13 black clubs as well as 13 red hearts and 13 red diamonds
Thus;
Number of red cards = 13 + 13
Thus;
Number of red cards = 26
Since, A denotes the event that red card is chosen.
This means that probability of choosing a red card is;
P(A) = number of red cards/total number in a deck of cards
P(A) = 26/52
P(A) = 0.5
At noon, a tank contained 10 cm water. After several hours, it contained 3 cm of water. What is the percent decrease of water in the tank? The percent decrease in water in the tank is nothing%.
Answer:
70%
Step-by-step explanation:
Given that:
Initial water level in the tank at noon = 10 cm
After several hours, water level = 3 cm
To find the percentage change in the water in the tank, we can use the following formula:
[tex]Percentage\ Change = \dfrac{Final\ Value - Initial\ Value }{Initial\ Value}\times 100[/tex]
Here, Final Value = 3 cm
Initial Value = 10 cm
Putting the values in the formula:
[tex]Percentage\ Change = \dfrac{3 - 10 }{10}\times 100\\\Rightarrow Percentage\ Change = -70\%[/tex]
Here, negative value, means there is a decrease in the final value from the initial value.
Therefore, the answer is 70% decrease.
-5 + a = -10
how do i solve for a??
Answer:
you have to change the -5 to a 5 then add 10 to it then you get 15, so a=15
What is 0.08 percent as a ratio
answer:
0.08 percent as a ratio is: 8/100
explanation:
hope this helped <3 also if wouldn't mind could you pls give me brainliest? (im trying to level up) thanks! :)
Answer:
8/100
simplest form 2/25
Step-by-step explanation:
A box of cereal states that there are 72 calories in a 3 4-cup serving. What is the unit rate for calories per cup? How many calories are there in 4 cups of the cereal?
Answer:
96 calories per cup
384 calories in 4 cups
Step-by-step explanation:
In this scenario, we can use the rule of three to calculate the number of calories in a single cup like so...
72 calories <==========> [tex]\frac{3}{4} cup[/tex] or 0.75 cup
x calories <==========> 1 cup
(1 * 72) / 0.75 = 96 calories
Now we see that there are a total of 96 calories per cup of cereal. In order to find the total amount of calories in 4 cups of cereal, we simply need to multiply the number of calories per cup by 4, like so...
96 * 4 = 384 calories
There are a total of 384 calories in 4 cups of cereal.
Which of the following does not form a proportion?
5/8 = 10/16
25/40 = 10/16
15/24 = 10/16 5/9 = 10/16
Answer:
5/9 = 10/16 is not proportional
Step-by-step explanation:
5/8=10/16 (If you simplify you will get 5/8=5/8 which is true)
25/40=10/16 (If you simplify you will get 5/8=5/8 which is true)
15/24=10/16 (If you simplify you will get 5/8=5/8 which is true)
5/9≠10/16 (If you simplify you will get 5/9=5/8 which is not true)
Hope this helps
which one is bigger |4| or 4
Answer:
They are the same
Step-by-step explanation:
If it is an answer choice question without anything saying that then pick 4
When Carla looked out at the school parking lot, she noticed that for every 2 minivans, there were 5 other types of vehicles. If there are 161 total vehicles in the parking lot, how many of them are minivans?
Answer:
46 of the total vehicles are minivans
Step-by-step explanation:
Let the number of minivans be x
and the number of other types of vehicles be y
From the question,
Carla noticed that for every 2 minivans, there were 5 other types of vehicles.
This means the ratio of minivans to other types of vehicles is 2:5.
Therefore,
x:y = 2:5
We can then write that
x/y = 2/5
∴ 5x = 2y ...... (1)
Also from the question,
There are 161 total vehicles in the parking lot
That is
x + y = 161 ...... (2)
From equation (2), we can write that
y = 161 - x
Put this into equation (1)
5x = 2y
Then
5x = 2(161-x)
5x = 322 -2x
5x+2x = 322
7x = 322
x = 322/7
x = 46
Since x represent the number of minivans
Hence, 46 of the total vehicles are minivans.
What is the rate of change for the function f(x) = 5.1x + 1 over the interval 2 ≤ x ≤ 7?
A)25.5
B)5.1
C)5.3
D) The rate of change cannot be determined
Answer:
5.1
Step-by-step explanation:
f(2)=11.2
f(7)=36.7
36.7-11.2/7-2
25.5/5
5.1
Find 7% of 24.
help!
Answer:
1.68
Step-by-step explanation:
mark brainliest
Answer:
16.8
Step-by-step explanation:
Turn the percentage into a decimal.
7% = 0.7
Multiply.
24 * 0.7 = 16.8
Best of Luck!