Given:
Initially the number of people at art museum = 250
Rate of increase = 3% per month
To find:
The number of people at art museum in the end of a year.
Solution:
The general exponential growth model is:
[tex]y=a\left(1+\dfrac{r}{100}\right)^t[/tex]
Where, a is the initial value, r is the rate of increase in % and t is the time period.
We know that, 1 year = 12 months.
Putting a=250, r=3 and t=12, we get
[tex]y=250\left(1+\dfrac{3}{100}\right)^{12}[/tex]
[tex]y=250\left(1+0.03\right)^{12}[/tex]
[tex]y=250\left(1.03\right)^{12}[/tex]
[tex]y=250(1.42576)[/tex]
[tex]y=356.44[/tex]
[tex]y\approx 356[/tex]
The number of people at the end of a year is 356. Therefore, the correct option is D.
Simplify 9x^0y^-3 write your answer using only positive exponents 
Answer:
9x/y³
Step-by-step explanation:
The simplification of the expression 9x⁰y⁻³ will be 9/y³.
What is the law of indices?Index (indices) in Maths is the power or exponent which is raised to a number or a variable.
In another word the mathematics of power or exponent of any number is called indices.
As per the given expression,
9x⁰y⁻³
By the law of indices that, [tex]x^{-m}[/tex] = 1/[tex]x^{m}[/tex]
9x⁰y⁻³ = 9x⁰ × 1/y³
⇒ 9(1)/y³ = 9/y³
Hence "The simplification of the expression 9x⁰y⁻³ will be 9/y³".
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okay, I'm gonna need to count and trust you for this on you for this. r u ready?
Answer:
B
Step-by-step explanation:
9514 1404 393
Answer:
C. 12 m wide
Step-by-step explanation:
We note that the difference in dimensions is 4 m. This difference will remain the same when both sides are increased by the same amount. If x represents the short side, then the larger area is ...
x(x +4) = 192
x^2 +4x + 4 = 196 . . . . add 4 to complete the square
(x +2)² = 14²
x = 14 -2 = 12 . . . . . . . . positive square root
The new garden will be 12 m wide.
A football is selling for 35% off the original price. The original
price was $60. What is the sale price of the football?
Answer:
$39
Step-by-step explanation:
First we need to find 35% of 60:
0.35 * 60=21
All we have to do after that is subtract 35% of 60 from 60:
60-21=39
And yeah the answer is 39!
I hope this helped! :)
can someone please help me you have to explain your answer plzzz help
?!?!?!?!?!
Answer:
Question 1Let number of adult tickets - x, student tickets - yRequired equations:
x + y = 87.25x + 5.50y = 52.75Solve by substitution x = 8 - y
7.25(8 - y) + 5.50y = 52.7558 - 7.25y + 5.50y = 52.751.75y = 5.25y = 5.25/1.75y = 3Find x:
x = 8 - 3 = 5Answer: 5 adults and 3 students
Question 2Pair of gloves costs- x, hats cost- yEquations:
2x + 4y = 432x + 2y = 30Solve by elimination, subtract the equations:
2y = 43 - 302y = 13y = 6.5Find x:
2x = 30 - 132x = 17x = 8.5Answer: Gloves cost $8.5, hats cost $6.5
Find the area of a circle with diameter 5mm. Use the value 3.14 for pi, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
19.6375 mm^2
Step-by-step explanation:
Given data
Diameter = 5mm
Radius= 5/2= 2.5mm
The expression for the area
A=πr^2
Substitute
A=3.142*2.5^2
A=3.142*6.25
A=19.6375 mm^2
NE SURSE D Which is the better buy? 3-gallon bucket of paint for $137.16 3-quart bucket of paint for $33.33
Answer:
I don't have a calculator with me but do 33.33 x 4 because 33.33 x 4 is 12 quarts which is equal to 3 gallons and then see which is cheaper
Mhanifa please help with this I find it super difficult! Thanks! I will mark brainliest! Random answers will be reported !
Answer:
a)
The point that is equidistant to all sides of a triangle is called the incenter.
The incenter is located at the intersection of bisectors of the interior angles of a triangle.
b)
The point that is equidistant to all vertices of a triangle is called the circumcenter.
The circumcenter is located at the intersection of perpendicular bisectors of the sides of a triangle.
c)
See the attachment
The blue lines and their intersection shows the incenter.
The red lines and their intersection shows the circumcenter.
As we see the red point- the circumcenter is closer to vertex B.
You have a new 10-day workout routine. You want to do 10 sets of 10 sit-ups each
day. Which expression shows the total number of sit-ups you do in 10 days?
CLEAR
CHECK
103
10 + 10 + 10
102
3 x 10
Answer:
10²
Step-by-step explanation:
Another way of phrasing "10 sets of 10 sit-ups" is "10 sit-ups, 10 times," or mathematically, 10 x 10. Another way of writing repeated multiplication is through exponents. Since we have 2 10's multiplied together, we can rewrite our expression as 10².
Answer:
10 to the power of 2
Step-by-step explanation:
10 to the power of 2 is 100 because you multiply 10x10 2 times Hope this helps
what is the measure of angle b? 47, c, a , b
Answer:
b=47
47+a=180
a=180-47
a=133
c+b=180(but b is equal to 47)
c+47=180
c=180-47
c=133
I hope this help
what shape in never a parallelogram.
Answer:
A trapezoid
Step-by-step explanation:
Because a trapezoid has only 1 pair of parallel sides
simplify 7 x e x f x 8
Answer:
the answer will be 56ef i guesss...
The value of given product is 56ef.
Here,
We have to simplify; 7 x e x f x 8.
What is the product?
When we multiply two numbers, the answer is called the Product.
Now,
The expression is,
⇒ 7 x e x f x 8
After product we get;
⇒ 7 x e x f x 8 = 56ef
Hence, The value of given product is 56ef.
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translation 5 units to the left and one down
Answer:
by poop needs 5 more poin
Caden, Zoe, and Sophia shared a pizza. Caden ate 20 percent of the pizza. Zoe ate 50 percent more of the pizza than Caden ate. Noah ate 50 percent more of the pizza than Zoe ate, and Sophia ate the rest of the pizza. Find the percentage of the pizza that Sophia ate.
Answer:
Step-by-step explanation:
c=.2, z=1.5(.2), n=1.5(1.5).2
s+c+z+n=1
s+.2+1.5(.2)+1.5(1.5).2=1
s+.2+.3+.45=1
s+.95=1
s=.05
So Sophia ate 5% of the pizza
Answer:
Sophia ate 5%.
Step-by-step explanation:
Caden ate 20%. Zoe ate 50% more than him, so 150% of 20%. That is 20+half of 20, which is 30. So zoe ate 30%. Noah ate 50% more than her, so 150% of 30%, which is 45%. Add them together and get 95%. That leaves 5% for Sophia to eat.
there is a mistake in each fraction-
please describe what went wrong (all of em)
No huge explanation needed- just answers- PLEASE!!!!
Would give more pts if i had them
Answer:
1) They forgot to multiply 2 times (2x+5)
2) x-2 is not equal to -(x+2).
3) The correct expression is [tex]x-1-1+2x=1-3x[/tex]
4) The correct way is [tex]4(2x+3)=3(1-3x)[/tex]
Step-by-step explanation:
1) In this case they forgot to multiply 2 times (2x+5). Let's recall we need to multiply (2x+5) to all terms of the equation.
2) Here, x-2 is not equal to -(x+2). If we see -(x+2) = -x-2 using the distributive property.
3) After multiplying by (3x-2) we will have:
[tex]x-1-(1-2x)=1-3x[/tex]
Apply the distributive property again, we will have:
[tex]x-1-1+2x=1-3x[/tex]
So the correct term is 2x not -2x.
4) When we multiply by (1-3x)(2x+3) on each side of the equation, we will have something like this:
[tex]\frac{4(1-3x)(2x+3)}{(1-3x)}=\frac{3(1-3x)(2x+3)}{(2x+3)}[/tex]
If we see we can simplify the same terms on each side of the equation.
[tex]4(2x+3)=3(1-3x)[/tex]
This is the correct way to do this.
I hope it helps you!
What is the length of AB?
Answer:
C=10
Step-by-step explanation:
A^2 + B^2 = C^2
A=6
B=8
C=?
A^2=36
B^2=64
C^2=100
Caroline earns $106.25 for 5 hours of work. If she makes a constant hourly wage, which table represents the relationship between the number of hours she works and her total earnings?
Answer: A
Step-by-step explanation:
HELP MEE! PUT THE PERCENT, DECIMAL, AND FRACTION!
80 c, 80%, 80/100, .80
$1.20, 120%, 120/100, 1.2
$1.60, 160%, 160/100, 1.6
$1.28, 128%, 128/100, 1.28
Answer:
80c to $1.20: up 50% or x 1.5
$1.20 to 80c: down 33 1/3 % or x 0.6 bar over the 6
80c to $1.60: up 100% or x 2
$1.60 to 80c: down 50% or x 0.5
$1.60 to $1.28: down 20% or x 0.8
$1.28 to $1.60: up 25% or x 1.25
$1.28 to $1.20: down 6 1/4 % or x 0.9375
$1.20 to $1.28: up 6 2/3 % or x 1.06 bar over the 6
A taxi charges $1.75 plus a free of $0.75 for each mile traveled the total cost of a ride without a tip is, $4.75. How many miles in the trip Use m for the number of miles traveled.
Answer:
4 miles traveled
Step-by-step explanation:
1.75 + 0.75m = 4.75.
4.75 - 1.75 = 3
3 ÷ 0.75 = 4
Malik solved a problem that had an answer of 33/5. He wrote his answer as the mixed number 6 3/5. Is his mixed number correct?
Answer:
Yes, his mixed number is correct
Step-by-step explanation:
6 3/5
[tex]\\ 5\sqrt{33} \\[/tex]
-30
3
How many different ways can 6 identical books, 3 identical paperback books, and 3 identical boxed books be arranged on a shelf in a bookstore?
A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 3 feet less than the length of the ladder. Find the length of the ladder if the distance from the bottom of the ladder to the building is 9 feet.
Answer:
15 ft
Step-by-step explanation:
This is another classic case of Pythagoras theorem. To start with, let's assume that the length of the ladder we're looking for is x
We're told that the height of the building the ladder is leaning on is, x - 3
Also we're told that the distance at an adjacent from the ladder is 9 ft.
If we use Pythagoras theorem, we have
x² = (x - 3)² + 9²
x² = x² - 6x + 9 + 81
On rearranging, we have
x² - x² = -6x + 90
6x = 90
x = 90 / 6
x = 15 ft
Therefore, the length of the ladder is found to be 15 ft
What would be the angles for D, E, and F?
Answer:
D:21
E:126
F:33
Step-by-step explanation:
3x+18x+5x-2=180
26x-2=180
26x=182
x=7
Which of the graphs below would result if you made the leading term of the
following function negative?
F(x) = 2x^4 + 2x + 2
Answer:
Graph B
Step-by-step explanation:
I typed the equation into Desmo and added a negative and that was the result.
Plz help me I need help badly and it needs an explanation
An envelope measures 9 inches by 4 inches. A pencil is placed at a diagonal. What is the maximum possible length of the pencil? If necessary round to the nearest tenth
Answer:
d = 9.84 m
Step-by-step explanation:
The dimensions of an envelope are 9 inches by 4 inches.
We need to find the maximum possible length of the pencil.
Let it be d. It can be calculated using Pythagoras theorem such that,
[tex]d=\sqrt{9^2+4^2} \\\\d=9.84\ m[/tex]
So, the maximum possible length of the pencil is 9.84 m./
What is 34 * 67 equal too?
Answer:
Your answer will be 2278 hope this helps
Step-by-step explanation:
if u need the steps just ask me
8^3\(u x 3) = 54.332 find *u
Answer:
u is 3.14118137
Step-by-step explanation:
After transforming f (x) = 2x2 + 4x + 3 into vertex form, the vertex is easily identifiable. Which ordered pair is the vertex ?
A. (0,3)
B. (1,1)
C. (-1,1)
OD. (-3,0)
After transforming f (x) = 2x2 + 4x + 3 into vertex form, the vertex is easily identifiable. Which ordered pair is the vertex ?
A. (0,3)
B. (1,1)
C. (-1,1)
OD. (-3,0)
Step-by-step explanation:
C.(-1,1)
Please help me pretty please
Answer:
[tex]\sqrt{29} ,6,2\pi ,3\sqrt{8}[/tex]
Step-by-step explanation:
Hello there!
First lets find the value of each irrational number
[tex]6 = 6\\\\\sqrt{29} =5.385164807\\\\2\pi =6.283185307\\\\3\sqrt{8} =8.485281374[/tex]
now we can easily put them in order from least to greatest
5.3, 6, 6.2, 8.4
then we change it to its irrational form
so the correct order would be
[tex]\sqrt{29} ,6,2\pi ,3\sqrt{8}[/tex]
Answer:
your answer will be Option D
Step-by-step explanation:
hope it helps
Diego’s family car holds 14 gallons of fuel. Each day the car uses 0.5 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less.
Write an inequality to determine the number of days Diego’s father can drive the car before the warning light comes on. Use t as your variable.