Answer:
[tex]A=2000e^{0.085t}[/tex]
Step-by-step explanation:
Make sure you understand the formula for continuous compounding first. The formula is:
[tex]A=Pe^{rt}[/tex] where
A= Total
P= Principal (or the amount invested at beginning)
r= Interest rate (as a decimal)
t= Time (in years)
Note: e is an irrational mathematic number similar to π. Its value is around 2.72, but for these problems, you’ll need to use the version already on your calculator that will be called “[tex]e^{x}[/tex].” On most calculators, it can be accessed by 2nd → ln.
Find the values that you are given:
A= What you are looking for
P= 2000
r= 8.5% as a decimal = 0.085
t= What you change
Plug these into the equation:
[tex]A=2000e^{0.085t}[/tex]
This is the answer!
I need help putting correct answers in the yellow boxes.
Answer:
-5 ± √5² - 4 · 1 · 4
2 · 1
Step-by-step explanation:
ax²+bx+c=0 (quadratic equation)
x= -b ± √b² - 4ac
2a
a= 1
b= 5
c= 4
-5 ± √5² - 4 · 1 · 4
2 · 1
What is the area of the shaded region?
A. 16π
B. 8π
C. 4π
D. 2π
Step-by-step explanation:
the area of a full circle (360°) is
pi×r² = pi×5² = pi×25
a 40° segment is then just 40/360 = 1/9 of the full circle.
so,
pi×r²×1/9 = pi×25/9 = pi×2.777777777...
so, either there is a mistake in the problem description, or your teacher wants you to cut off the decimals (after the decimal point), in which case D would be the right answer.
since our radius is 5, that makes r² always 25.
there are no integer factors I can divide 25 by to create any of the 4 solutions of 16 or I or 4 or 2.
and there is no integer factor I can divide 360 by to get 25.
so, something is wrong here regarding the problem description. either the radius or the angle or the solution options are wrong and not fitting to each other.
Help me please I’m struggling with this subject :/
Answer:
I believe the answer is 135 square feet.
Step-by-step explanation:
so 10x12=120. 10x3=30 and you divide the triangle by 2 so 30/2=15. 120+15=135
well, we don't know the cost of the carpet, however hmmm we know the cost of the carpet is 4 bucks per ft², which means we need to know how many ft² the Randall family is going to use in the first place hmmmm, Check the picture below.
[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ a=12\\ b=15\\ h=10 \end{cases}\implies \begin{array}{llll} A=\cfrac{10(12+15)}{2} \\\\\\ A=\cfrac{10(27)}{2}\implies A=135~ft^2 \end{array} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{per~ft^2}{(4)}~~\stackrel{area~in~ft^2}{(135)}\implies \stackrel{\$}{540}\impliedby \textit{total cost}[/tex]
4,3,9/4,27/16
what is the 10th term of the sequence
Answer:
This is a sequence, so we have to move forward step by step
Step-by-step explanation:
4,3,9/4,27/16
Because this sequence has no exponential arithmetic or geometry, we perform the sequence with the help of a matrix
[tex]y = y[/tex]
[tex]x = x[/tex]
[tex]x = 4.4.4.4.4[/tex]
[tex]x = 4[/tex]
Matrix determinants allowed us to achieve both geometric and arithmetic progression by sequence guidance
The answer is
[tex]x \times y = 144 = 614.88[/tex]
The price of an item has risen to $187 today. Yesterday it was $110 . Find the percentage increase.
well, its difference is 187 - 110 = 77.
now, if we take 110 as the 100%, what is 77 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 110 & 100\\ 77& x \end{array} \implies \cfrac{110}{77}=\cfrac{100}{x}\implies \cfrac{10}{7}=\cfrac{100}{x} \\\\\\ 10x=700\implies x=\cfrac{700}{10}\implies x=70[/tex]
asey wants to buy some instruments for his niece and nephew. He has $40 to spend. Based on the prices listed below, what is the estimated total, rounded to the nearest dollar? Which explains why he can afford the tambourine and xylophone?
Tambourine: $13.95Xylophone $23.50
The estimated total to the nearest dollar is $38, so he can afford them.
The estimated total to the nearest dollar is $37, so he can afford them.
The estimated total to the nearest dollar is $36, so he can afford them.
The estimated total to the nearest dollar is $37.45, so he can afford them.
Answer:
I would pick a, the estimated total to the nearest dollar is 38
Step-by-step explanation:
13.95 rounded is 14
23.50 rounded is 24
24+14=38
PLEASE HELP
Two archers are shooting arrows at different targets. First archer's possibility of hitting the target is 0,6. Second archer’ possibility of hitting the target is 0,5. What is the possibility that at least one of them will hit the target.
Answer:
0.8
Step-by-step explanation:
Check the attachment.
Find the area of the shaded region.
Group of answer choices
72
75
71
74
Answer:
72
Step-by-step explanation:
First. I counted the triangles. Then, I found the area of one triangle. Since the area of a triangle is (base*height)/2, I found the area of one triangle this way: 6x6=36. 36/2=16. After that, I then multiplied the area of the one triangle by four, since there are four triangles. 16x4=72
Is my answer correct?
Answer:
yes
Step-by-step explanation:
YOU DID IT'S A GOOD DAY
Jean listed the steps involved in the life cycle of a gymnosperm. 1 - The pollen gets stuck in a sticky liquid. 2 - Sperm from the pollen fertilize the egg in the ovule. 3 - The ovule develops into a seed. 4 - When mature, the seeds are dispersed. Which step is missing? Before step 3, the ovule develops cones. Just after step 3, the ovule develops cones. Before step 1, wind carries pollen from the male to the female cones. Just after step 1, wind carries pollen from the male to the female cones
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Just after step 3, the ovule develops cones.
Help me with this please I will give you extra points
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Total outcomes in which Billy can get 5 or more : 2 outcomes
Total outcomes = 6
So, the probability of getting 5 or higher is ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{favorable \: outcomes}{total \: outcomes} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{2}{6} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{3} [/tex]
Therefore, the correct choice is C
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
You drop a stick from a height of 64 feet. At the same time, your friend
drops a stick from a height of 144 feet.
a. After how many seconds does your stick hit the ground?
b. How many seconds later does your friend's stick hit the ground?
Using a quadratic function, it is found that:
a) It hits the ground after 2 seconds.
b) Your friend's stick hits the ground 0.83 seconds later.
What is the quadratic function for the projectile's height?It is given by:
[tex]s(t) = -16t^2 + v(0)t + h(0)[/tex]
In which:
v(0) is the initial velocity.h(0) is the initial height.Item a:
Dropped at rest from a height of 64 feet, hence v(0) = 0, h(0) = 64, so the equation is:
[tex]s(t) = -16t^2 + 64[/tex]
It hits the ground when s(t) = 0, hence:
-16t^2 + 64 = 0
t^2 = 4
t = 2.
It hits the ground after 2 seconds.
Item b:
For your friend, we have that h(0) = 144, hence:
-16t^2 + 144 = 0
t^2 = 8.
t = 2.83.
2.83 - 2 = 0.83.
Your friend's stick hits the ground 0.83 seconds later.
More can be learned about quadratic functions at https://brainly.com/question/24737967
Need some help with trinomial
Answer:
(x - 6)(x + 2)
Step-by-step explanation:
assuming you require the trinomial to be factorised.
x² - 4x - 12
consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term (- 4)
the factors are - 6 and + 2 , since
- 6 × 2 = - 12 and - 6 + 2 = - 4 , then
x² - 4x - 12 = (x - 6)(x + 2)
Graph the line with the equation y=1/2x+5
Here it is
.,.,.,.,..,.,.,.
What time is it on the clock.
Answer:
8:11 o Clock
Step-by-step explanation:
Stay safe, stay healthy and blessed.
Have a good day !
Thank you
Best answer gets brainliest
Answer:
The answer is 30.
Step-by-step explanation:
12+12+6= 30
I got 6 because it shows a semi circle, and half of 12 is 6.
Answer:
30
Step-by-step explanation:
one circle = 12
two circle = 12 × 2 = 24
half circle = 12/2 = 6
so
two circle + half circle = 24 + 6 = 30
A clothing store is selling a pair of jeans for $17 and a sweatshirt for $8. Which inequality shows the number of sweatshirts Monique can buy along with one pair of jeans if she has $41 to spend? Assume that there is no sales tax.
Answer:
1 pair of jeans and 3 sweatshirts
Step-by-step explanation:
41-17=24
24/8=3
The inequality shows the number of sweatshirts Monique can buy along with one pair of jeans if she has $41 to spend will be; 17x + 8y ≤ 41
What is inequality?An inequality is a mathematical statement that compares two values or expressions using a relational operator, such as less than (<), greater than (>), less than or equal to (≤), greater than or equal to (≥), or not equal to (≠). Inequalities are used to describe relationships between quantities or to express constraints or conditions.
We are given that clothing store is selling a pair of jeans for $17 and a sweatshirt for $8.
Therefore,
41-17=24
Unit price = 24/8=3
Thus 1 pair of jeans and 3 sweatshirts
The inequality shows the number of sweatshirts Monique can buy along with one pair of jeans becomes as;
17x + 8y ≤ 41
Learn more about inequality ;
brainly.com/question/14164153
#SPJ2
How can you use tables, graphs, and equations to compare functions in everyday life?
PointM is the midpoint of AB. if the coordinates of A are (6,-4) and the coordinates of M are (4,2), what are the coordinates of B?
Ok here is the fastest way to do this:
Since M is the midpoint of AB, and the x-value of M is smaller than A, this means that M is to the left of A.
Subtract x-value of M from x-value of A: 6 - 4 = 2
We know that B is also to the left of M. So you subtract 2 from the x-value of M: 4 - 2 = 2
Notice that of the choices below, only one answer has the x-value of 2.
B
Assessment started: undefined.
Item 1
In this polygon, all angles are right angles.
What is the area of this polygon?
PLEASE HELP ME
What is the area of triangle ABC?
Answer:
200 sq units
Step-by-step explanation:
As you might know, 3 angles of a triangle adds up to 180*. Since you already know the angles are 60* there is one more 60*. So by this you know that all the sides are equal.
As the given states, one side is 20. So following the standard way to get the area of a triangle b*h/2; 20*20 = 400 / 2 = 200 sq units
Determine if there was a percent increase or decrease in the number of trench coats sold, and by how much. (Round your answer to the nearest tenth. ) a. The percentage of trench coats sold decreased by 0. 8%. B. The percentage of trench coats sold increased by 0. 8%. C. The percentage of trench coats sold decreased by 23. 3%. D. The percentage of trench coats sold increased by 23. 3%.
The percentage of trench coats sold increased by 23. 3%. therefore, option D is correct.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
First, we need to subtract the final from the initial, then divide the difference by the initial, then multiply your answer by 100 to get the percentage
the final is 127, and the initial is 103
127 - 103 = 24
24/103 = 0.233
0.233 x 100
= 23.3%
Thus, The percentage of trench coats sold increased by 23. 3%.
Learn more about percentages;
https://brainly.com/question/13450942
Which statements are true for the following expression?
(9 + 1) · 5
Answer:
50
Step-by-step explanation:
add
9 + 1 = 10
multiply
10 * 5 = 50
Answer: 50
Choose the appropriate table for the differential equation dy/dx=x+1/x
Answer: 1.
x |0|0.5|2
dy/dx |2|5 |undefined
2.
x |0 |0.5| 2
dy/dx |undefined|5 | 2
3.
x | 0 |0.5|2
dy/dx|undefined |4 |2
Step-by-step explanation:
x2 + y2 = 100
+
Is a function
Answer:
Yes, it is...
Step-by-step explanation:
x^2 + y^2 = 100
---This is an equation for a circle.
A circle does not pass the vertical line test, so it is not a function.
Answer: NOT a function
Hope this helps!
3x+4y=36
Y=-1/2+8
How do I solve this?
Answer:
x = 2
Step-by-step explanation:
3x+4y=36
Y=-1/2+8
Now we substitute y with -1/2+8.
3x + 4(-1/2+8) = 36
3x + 4(7.5) = 36
3x + 30 = 36
3x = 6
x = 2
Have an amazing day!!
Please rate and mark brainliest!
PLEASE SOLVE will give brainliest!!
Answer:
♂️
Step-by-step explanation:
Sry dunno the answer
Can u just give brainliest pls?
A large box of strawberris vaires in price.the cost of a box is never graeater than or equal to 10$ the lowest price ever reached for the box of strawberries is 5$. write an inquality to show all the possible prices (P) for a box of strawberries
Answer:
10 > P ≥ 5
Step-by-step explanation:
inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions
sine the price can't be greater than or equal to 10$ we set it up 10 is greater than P ( 10 > P )
sine the lowest price ever was 5$ then we know P can't be any lower than 5$ but can still be 5$ so we set up as P is greater than or equal to 5 ( P ≥ 5 )
then to get your answer you just but the two comparisons together ( 10 > P ≥ 5 )
Please Help! Will Give Brainlest!
Answer:
y = 1
Step-by-step explanation:
Answer:
it's the second option
[tex]y=1[/tex]
In a survey of 3,000 people who owned a certain type of car, 1,050 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
35 percent
Step-by-step explanation:
1050 / 3000 as a percent
1050 / 3000 = 105 / 300
Divide both sides by 3:
300 / 3 = 100
105 / 3 = 35
35 / 100 = 35 percent
34%
This is because when you divide 1,050 by 3,000 you get 0.34 then turn that into a percent then there you go