Answer:1.03125
Step-by-step explanation:
The following equation models the deer population during mating season starting April 1, 2016, where m is time in months.
1053(1.23)^m = N
(a) How many deer were there on April 1, 2016?
(b) How many deer were there on May 1, 2016?
(c) What is the monthly growth rate?
(d) What is the yearly growth rate?
(e) What is the weekly growth rate?
The function N =1053(1.23)^m or 1053(1.23)^m = N is an illustration of an exponential function
The deer on April 1, 2016The function is given as:
N =1053(1.23)^m
On April 1, 2016; the value of m is:
m = 0
So, we have:
N =1053(1.23)^0
N = 1053
Hence, there are 1053 deers on April 1, 2016
The deer on May 1, 2016The function is given as:
N =1053(1.23)^m
On April 1, 2016; the value of m is:
m = 1
So, we have:
N =1053(1.23)^1
N =1295
Hence, there are 1295 deers on May 1, 2016
The monthly growth rateAn exponential growth function is represented as:
y = a(1 + r)^x
Where r represents the growth rate
By comparison; the monthly growth rate (r) is calculated as:
1 + r = 1.23
Subtract 1 from both sides
r = 0.23
Express as percentage
r = 23%
Hence, the monthly growth rate is 23%
The yearly growth rateWe have the monthly growth rate to be 23%
There are 12 months in a year.
So, the yearly growth rate is:
y = 23%^12
Evaluate
y = 0.00022%
Hence, the yearly growth rate is 0.00022%
The weekly growth rateWe have the monthly growth rate to be 23%
There are 4 weeks in a months
So, the weekly growth rate is:
m = 23%^(1/4)
Evaluate
m = 69%
Hence, the weekly growth rate is 69%
Read more about exponential functions at:
https://brainly.com/question/11464095
An artist has completed 1/4
of a penting in 2 weeks. At what rate is she working?
Answer:
1/8
Step-by-step explanation:
1/4 ÷ 2 = 0.125
0.125 as a decimal is 1/8
PLEASE HELP PLEASE HELP
Answer:
Acute angle
Step-by-step explanation:
Acute angle = less than 90 degrees
Answer:
acute angles
Step-by-step explanation:
Angles between 0 and 90 degrees (0°< θ <90°) are called acute angles. Angles between 90 and 180 degrees (90°< θ <180°) are known as obtuse angles. Angles that are 90 degrees (θ = 90°) are right angles.
Solve for d
Can you pls help me?
Write the absolute value equations in the form x−b =c (where b is a number and c can be either number or an expression) that have the following solution sets:
two solutions: x=1/2, x=-1/3
one solution: x=-3
all numbers such that x≤5
all numbers that x ≥-1.3
anything helps!
All cases rewritten in the form of difference expressions are listed below:
x - 1/2 = 0, x + 1/3 = 0x + 3 = 0x - 5 ≤ 0x + 1/3 ≥ 0How to translate equalities and inequalities into difference expressionsEqualities represent relationships between two expressions, in which one expression is equal to another. An equality (x = a) is equivalent to the following difference expression:
x - a = 0 (1)
And inequalities represent relationships between two expressions, in which one expression is not necessarily to another. An inequality (x < a, x > a, x ≤ a, x ≥ a) is represented by the following difference expression:
x - a = b (2)
Where b have the following cases:
If x < a, then b < 0.If x > a, then b > 0.If x ≤ a, then b ≤ 0.If x ≥ a, then b ≥ 0.Now we proceed to rewrite each case in term of difference expressions:
x - 1/2 = 0, x + 1/3 = 0x + 3 = 0x - 5 ≤ 0x + 1/3 ≥ 0To learn more on inequalities, we kindly invite to check this verified question: https://brainly.com/question/19491153
Factor completely 2x2 – X – 4.
(3x - 1)(x + 4)
(3x + 4)(x - 1)
(3x − 2)(x + 2)
-
(3x – 4)(x + 1)
-
[tex]2x {}^{2} - x - 4[/tex]
[tex]x = \frac{ - ( - 1) + \sqrt{1 - 4(2)( - 4)} }{2(2)} = \frac{1 + \sqrt{33} }{4} [/tex]
[tex]x = \frac{1 - \sqrt{33} }{4} [/tex]
[tex](x - \frac{1 + \sqrt{33} }{4} )(x - \frac{1 - \sqrt{33} }{4} )[/tex]
[tex](4x - 1 - \sqrt{33} )(4x - 1 + \sqrt{33} )[/tex]
tim drives at an average of 80km per hour for 3 hours 45 minutes. work out how many kilometres tim drives
Tim covered 21.333 kilometers
Kilometers, km covered is distance, d
d = speed / time
d = 80 / 3 hours 45 mins
Converting 45 mins to hours we have
1 hour = 60 minutes
? Hours = 45 minutes
? = 45 / 60 = 0.75
So time is 3.75 hours
d = 80 / 3.75
= 64 / 3
= 21.333km
hope it helps
Answer:
300 km
Step-by-step explanation:
Tim drives 80 km in 1 hour or 60 minutes
Tim drives in 1 minute = 80/60 km
so, tim drives in 3 hours 45 minutes ( 225 minutes)
[tex] \frac{80 \times 225}{60} [/tex]
= 300 km
You open a money market account with $7500 at 5% compound quarterly. After two years, $1500 is withdrawn from the account to buy a new computer. A year later, $2000 is put in the account. What will be the ending balance if the money is kept in the account for another three years?
Answer:
$10,596.81
Step-by-step explanation:
The balance on an account earning 5% interest compounded quarterly can be found using the formula ...
A = P(1 +0.05/4)^(4t)
where P is the principal invested and t is the number of years.
__
Here, we are investing $7500.00. After 2 years, the account balance will be ...
A = $7500(1 +0.05/4)^(4·2) = $8283.65
After the $1500 withdrawal, the new balance will be ...
$8583.65 -1500.00 = $6783.65
__
This is the amount earning interest for the next year, after which time the balance will be ...
A = $6783.65·(1.0125)^(4·1) = $7129.24
When $2000 is added to the account, the principal earning interest for the last 3 years is ...
$7129.24 +2000.00 = $9129.24
__
The final balance after 3 more years is then ...
A = $9129.24·(1.0125)^(4·3) = $10,596.81
_____
These calculations are conveniently carried out by a spreadsheet, as in the attached. Since the account changes are all done at the end of the year, we don't have to keep track of the quarterly balances. The formula used to calculate the ending balance each year is shown.
Find the Perimeter of the Square with One side is 75cm
Answer:
P=300cm
Step-by-step explanation:
P=4a=4.75×4=300cm
[tex]\green{ \underline { \boxed{ \sf{Perimeter \: of \:Square = 4 \times side }}}}[/tex]
Putting Values -
[tex]\begin{gathered}\\\implies\quad \sf Perimeter \:of \:Square = 4 \times 75 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf Perimeter \: of \:Square = 300 sq. \:cm \\\end{gathered} [/tex]
>>Therefore, Perimeter of the Square is 300 sq. cm
The perimeter of the triangle at the right is 22.6 in. What is the value of n?
A. 3.5
B. 4.6
C. 7.8
D. 9.4
Answer:
A. 3.5
Step-by-step explanation:
The perimeter is just the sum of all of the side lengths. The sides of this triangle are n inches, (n + 5.2) inches, and (2n + 3.4) inches.
So, your equation is n + n + 5.2 + 2n + 3.4 = 22.6 inches.
You can combine like terms (adding together all of the n's and all of the numbers) to simplify your equation to 4n + 8.6 = 22.6 inches.
Subtract 8.6 from both sides of the equation to get 4n = 14, and divide both sides by 4 to get n = 3.5.
Hope this helps! :)
7. Assessment Practice Tiffany buys a stuffed animal for 84¢. She pays with 8 dimes and I nickel. Which shows hov much change Tiffany should get? A A C) BO D
Answer:
1 cent
Step-by-step explanation:
Dime = 10 cents
8 Dimes = 8 * 10 = 80 Cents
1 Nickel = 5 Cents
80 + 5 = 85
85 - 84 = 1 Cent
A closet contains 5 cases of laundry detergent. Each case contains 12 bottles. Each bottle contains 3 liters of detergent.
How many liters of laundry detergent in all are in the closet?
180 L
63 L
41 L
20 L
Answer:
A
Step-by-step explanation:
Find the number of bottles in 5 cases:
5 × 12 = 60
Find the number of liters in 60 bottles:
60 × 3 = 180
180 liters of laundry detergent
[tex]\underline{\boxed{\blue{\Large{\bf{Challenge}}}}}[/tex]
If 'P and 'Q' are two points whose coordinates are (at^2, 2at) and (a/t^2, 2a/t) respectively and S is the point(0, 0). Show that 1/SP + 1/SQ is independent of 't'.
Note:-
Plagarised/spam/short answers will be deleted on the spot.
Answer with all steps and proper explanation .
Step-by-step explanation:
Given point are: P(at², 2at)
Q(a/t², 2a/t)
S(0, 0)
Now, the distance between A(x₁y₁) and B(X₂, y₂)
then AB = √{(x₂ - x₁)² + (y₂ - y₁)²} units
(i) The distance between S and P:
(x₁, y₁) = (0, 0) ⇛x₁= 0, y₁ = 0
(x₂, y₂ ) = (at², 2at) ⇛x₂ = at², y₂ = 2at
SP = √{at² - 0)² + (2at - 0)²}
= √{(at²)² + (2at)²}
= √{a²t²*² + 4a²t²}
= √{a²t⁴ + 4a²t²}
= √{a²t²(t²+4)}
SP = at√(t² + 4)→→→Eqn(1)
(ii) The distance between S and Q :
(x₁, y₁) = (0, 0) ⇛x₁= 0, y₁ = 0
(x₂, y₂ ) = (a/t², 2a/t) ⇛x₂ = a/t², y₂ = 2a/t
SQ = √[{(a/t²) - 0} + {(2a/t) - 0}
= √{(a/t²)² + (2a/t)²}
= √{(a²/t²*²) + (4a²/t²)}
= √{(a²/t⁴) + (4a²/t²)}
= √{(a² + 4a²t²)/t⁴}
= √[{a²(1 + 4t²)}/t⁴]
SQ = (a/t²)√(1 + 4t²) →→→ Eqn(2)
Now,
(1/SP) + (1/SQ) = [1/{at√(t² + 4)}] + [1/{(a/t²)√(1 + 4t²)}]
= (1/at)[1/{√(t² + 4)}] + (t²/a)[1/{(√1 + 4t²)}]
= (1/a)[[1/{t√(t² + 4)}] + [t²/{√(1 + 4t²)}]]
(1/SP) + (1/SQ) = 1/a is not independent of 't'
If suppose S = (a, 0) then
SP = √{(at² - a)² + (2at - 0)²}
= √{a²(t² - 1)² + (2at)²}
= a√{(t² - 1)² + 4t²}
= a√{(t² + 1)²}
SP = a(t² + 1)
1/SP = 1/{a(t² + 1)} →→→Eqn(1)
And
SQ = √[{(a/t²) - a}² + {(2a/t) - 0}²]
= √[a²{(1/t²) - 1}² + a²(2/t)²]
= a√[{(1 - t²)²/t⁴} + (4/t²)]
= a√[{(1 - t²)² + 4t²}/t⁴]
( a/t²)√(1 + t²)²
SQ = (a/t²)(1 + t²)
1/SQ = 1/{(a/t²)(1 + t²)} = t²/{a(1 + t²)} →→→Eqn(2)
Therefore, (1/SP) + (1/SQ)
= 1/{a(t² + 1)} + t²/{a(1 + t²)}
= (1 + t²)/a(1 + t²)
= 1/a
1/a is independent of 't'.
I need help with this question
Answer:
301 feet
Step-by-step explanation:
plug in the known values
[tex]85=\sqrt{24d}[/tex]
square both sides to cancel the square root
[tex]7225=24d[/tex]
divide both sides by 24 to get d on its own
[tex]d=301.041[/tex] feet
to the nearest foot is 301 feet
Erica has a rectangular living room that is 9.78 meters long from front to back and 11.85 meters long from side to side. Draw a sketch of Erica's living room, labeling the lengths, and estimate how many square meters of carpet Erica would need to cover her living room floor.
Answer:
-> See attached
115.893 meters²
Step-by-step explanation:
See attached for my sketch.
Area for a rectangle is A = L * W:
9.78 meters * 11.85 meters = 115.893 meters²
please i need help
This figure consists of a rectangle and semicircle. What is the area of this figure? Use 3.14 for π. Enter your answer to the nearest hundredths place in the box.
Answer:
Step-by-step explanation:
firstly the area for teh rectangle is 12 x 15 = 18are0
the area for the circle is 113.1 sq inches because pi x r squared
HELP
explain what the answer is
Answer:10/7 and mixed number form is 1 3/7
Please Help ASAP (show work if you want its not needed i just need the answer)
[tex] \sin(60) = \frac{a}{4 \sqrt{3} } \\ [/tex]
[tex] \frac{ \sqrt{3} }{2} = \frac{a}{4 \sqrt{3} } \\ [/tex]
[tex]a = 6[/tex]
_____________________________________________
[tex] \cos(60) = \frac{c}{4 \sqrt{3} } \\ [/tex]
[tex] \frac{1}{2} = \frac{c}{4 \sqrt{3} } \\ [/tex]
[tex]c = 2 \sqrt{3} [/tex]
_____________________________________________
[tex] \sin(45) = \frac{a}{b} \\ [/tex]
[tex] \frac{ \sqrt{2} }{2} = \frac{6}{b } \\ [/tex]
[tex]b = 6 \sqrt{2} [/tex]
_____________________________________________
[tex]d = a = 6[/tex]
Have a great day ♡
need help with the questions below. screenshots are provided. need help asap
Answer:
Step-by-step explanation:
12g - 17 ≥ 17
12g ≥ 34
g ≥ [tex]\frac{34}{12}[/tex]
g ≥ [tex]\frac{17}{6}[/tex]
If you deposit $3,000 in a savings account that earns simple interest at a rate of 2.5% a year, how much interest would you have after 4 years?
Work Shown:
i = P*r*t
i = 3000*0.025*4
i = 300
Señora Cruz will use four triangles on the door decor. How many square centimeters of paper will Señora Cruz use to create the triangles?
Triangle has bases as 3.7 and height as 6.8
Square has length as 7.5 and width as 3.9
Answer:
50.32 cm²
Step-by-step explanation:
The area of a triangle can be computed using the formula ...
A = 1/2bh
For a triangle with base 3.7 cm and height 6.8 cm, the area is ...
A = 1/2(3.7 cm)(6.8 cm) = 12.58 cm²
__
For four (4) triangles, Señora Cruz will need 4 times this area:
4 × (12.58 cm²) = 50.32 cm²
Señora Cruz will need 50.32 cm² of paper to create her door decor.
What is the value of the expression 25 ÷ 5 + (6 x 2) − 4?
7
9
12
13
Answer: 13
Step-by-step explanation:
Answer:
Hey Dude....
Step-by-step explanation:
This is ur answer.....
25 ÷ 5 + (6 x 2) − 4= 5 + 12 - 4= 5 + 8 = 13Hope it helps!
Brainliest pls!
Follow me! :)
PLEASE ANSWER FAST WILL MARK BRAINLIEST
[tex]\sf y=50\left(1.8\right)^{x}[/tex]
=================================
the first term : 50
crosses point : (0, 50), (1, 90)
solve for y,
[tex]\sf y=50\left(1.8\right)^{1}[/tex]
[tex]\sf y=90[/tex]
Thus D is correct option.Graph:
Make x the subject of each formula.
Answer:
see explanation
Step-by-step explanation:
look at the photo
All exponential functions can be written in many forms. Write the function
f(t) = 2800(0.95)' in the form f(t) = abro. Round all coefficients to four
decimal places.
[tex]2800(0.95)^t~~ = ~~2800(b)^{\frac{t}{10}}\implies \cfrac{2800(0.95)^t}{2800}=b^{\frac{t}{10}}\implies 0.95^t=b^{\frac{t}{10}} \\\\\\ (0.95)^{\frac{10t}{10}}=b^{\frac{t}{10}}\implies (0.95^{10})^{\frac{t}{10}}=b^{\frac{t}{10}}\implies (0.5987)^{\frac{t}{10}}\approx b^{\frac{t}{10}}\implies 0.5987 \approx b \\\\[-0.35em] ~\dotfill\\\\ ~\hfill f(t)\approx 2800(0.5987)^{\frac{t}{10}}~\hfill[/tex]
ans this sum plsss .
Answer:
See below ↓
Step-by-step explanation:
3.
2/512/253/73/83/104.
Draw a number of spacing 0.25 eachStart from -1 to 1-2/8 = -0.25 [mark on line]3/6 = 0.5 [mark on line]5.
Midpoint of -2/5 and 1/2M = [-2/5 + 1/2] / 2M = [1/10] / 2M = 1/20Consider the equation 21 = m + 14.1. Which step will help to solve this equation? = a) Add 14 14 on both sides of the equation. . b) Subtract 14 tão on both sides of the equation. С Multiply both sides of the equation by 14 141 . o Divide both sides of the equation by 14
Answer:
B is the right answer
Step-by-step explanation:
Subtract 14 from each side to get the value of m
21 - 14 = 7 = m
m = 7
A cup contains 438 grams of sand. A bucket contains 2,120 grams of sand.
How many more grams of sand are in the bucket than the cup?
The bucket that contains 2120 grams of sand and a cup that contains 438 grams of sand , the bucket of sand has 1682 grams of sand than the cup of sand in the cup.
How to calculate difference in mass?A cup contains 438 grams of sand. A bucket contains 2120 grams of sand.
Therefore, the number of more grams of sand in the bucket than the cup is as follows:
mass of sand in cups = 438 grams
mass of sand in the bucket = 2120 grams
Therefore,
difference in mass = 2120 - 438
difference in mass = 1682 grams
Therefore, they are 1682 grams of sands in the bucket than the cup.
learn more on mass(grams) here: https://brainly.com/question/12843854
The mean of 5 different numbers is 6 and the mean of 4 different
numbers is 15. Find the mean of 9 numbers. Please answer fast as possible.
write 2.36 x 10^-3 as a decimal number (ordinary form)
Answer:
0.00236
Step-by-step explanation:
Move the decimal left 3 times as the exponent is negitiave 3