Answer:
24,831.28
Step-by-step explanation:
Brainliest pls
Answer:
t = 16.6
Step-by-step explanation:
In the formula:
[tex]a = p(1 + r )^{t} [/tex]
A is the final amount, in this case is 11500 people. P is the initial amount, in this case is 6500 people. r is the growth rate, which in this case is 0.035 - we have to express it s a decimal, not a percent. And finally t is the time, which is the variable we want to find.
Let's clear t first and replace all these values at the end. To clear t we have to leave only the factor which exponent is t on one side of the equation. To do this we have to divide both sides by P:
[tex] \frac{a}{p} = \frac{p}{p} (1 + r) ^{t} \\ \frac{a}{p} = (1 + r)^{t} [/tex]
Now we have to use the following rule for the exponents and logarithms:
[tex] {a}^{x} = b[/tex]
Apply logarithms on both sides:
[tex]log( {a}^{x}) = log(b)[/tex]
By the exponents rule of logarithms
[tex]x \: log(a) = log(b)[/tex]
For this problem we have:
[tex]log \frac{a}{p} = log(1 + r)^{t} \\ log \frac{a}{p} =t \: . \: log(1 + r)[/tex]
Now we have to divide both sides by log(1+r) to clear t:
[tex]log \frac{a}{p} = t \: . \: \frac{log(1 + r)}{log(1 + r)} \\ t = \frac{log \: \frac{a}{p} }{log(1 + r)} [/tex]
And finally we just have to replace the values into this equation we found: A = 11500, P = 6500 and r = 0.035:
[tex]t = log \: \frac{11500}{6500} \\ log(1 + 0.035) \\ log \: \frac{23}{13} \\ t = log \: 1.035 \\ t = 16.6[/tex]
Write the appropriate term in each box to create an expression
equivalent to 7x + 2x + 6y
3x(2y+3y)
= 3x × (2y+3y)
= 3x × 5y
= 15xy
So your answer is:-
3x × (2y+3y)
may this helps you
bye
Anita needs to construct ten cones for a class project. How many square feet of material will she need? Use 3.14 for π. Enter your answer in the box. Th radius is 6 ft and the height is 12 ft.
Assuming that Anita needs hollow right circular cones, we are solving for its lateral surface area, which is given by the formula πr√ (h²+r²), where r is the radius and h is the height.
r = 6 ft / 2 = 3 ft
Solving for the lateral surface area of one cone:
LSA = (3.14) (3) [√ (12²+3²) ] = 116.52 sq ft.
Since she needs 10 cones:
10 * 116.52 sq. ft = 1,165.2 sq ft.
She will need 1,165.2 sq ft of material.
Hope this helps you :)
Find the volume of the prism.
The volume is
cubic meters.
Answer:
12.5m³
Step-by-step explanation:
V = w × h × l = 1.43 × 3.13 × 2.8 = 12.5m³
Have a good day
b Pete won the first heat in 13 minutes 39 seconds. Jacob won the second heat in 14 minutes 16 seconds. Who ran faster? By how much? t
In accordance with the research problem we were given, Pete outran Jacob by 37 seconds.
A second of angle is what?Minutes are the 60 equal pieces that make up each degree. Thus, 7 to 8 inches can also be written as seven degrees and thirty minutes, or seven°30'. For example, 2 ° 5 minutes and 30 seconds are represented by the notation 2° 5' 30 since each minutes is further subdivided into 60 equal seconds.
Then, we have Pete's time: First, we convert minutes into seconds. 13 minutes and 39 seconds is equal to 13 * 60 + 39, or 819 seconds.
Jacob's period: 14 minutes and 16 sec. = 14 * 60 + 16 sec. = 856 sec.
Jacob outpaced Pete by 856 – 819 = 37 seconds.
Pete ran 37 seconds faster as a result.
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Find the whole volume of the triangular pyramid to the nearest whole number
Answer:
The volume of the triangular pyramid to the nearest whole number is 924 inches cube
Choose all equations that are true.
A. 5/6 × 4 2/3 = 3 8/9
B. 1 1/10 × 8 3/5 = 9 1/2
C. 3 2/9 × 2 1/6 = 6 53/54
D. 2 3/7 × 1 7/8 = 2 3/8
E. 7/12 × 4 = 2 1/3
No links please :)
Answer:
A. True
B. False
C. True
D. False
E. True
The mixed fraction equations which are true are C , D and E
What are Mixed Numbers?A mixed number is a whole number, and a proper fraction represented together. A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number.
Given data ,
Let the mixed number equation be represented as A
Now , the value of A is
To solve each equation, we can convert mixed numbers to improper fractions, then multiply the fractions, and simplify the result if possible.
A)
A = 5/6 × 4 2/3 = (5/6) × (4×3 + 2)/3
A = (5/6) × 14/3 = 35/9, which is not equal to 3 8/9.
Therefore, equation A is false.
B)
B = 1 1/10 × 8 3/5 = (11/10) × (43/5)
B = 473/50 = 9 23/50, which is not equal to 9 1/2.
Therefore, equation B is false.
C)
C = 3 2/9 × 2 1/6 = (29/9) × (13/6)
C = 377/54 = 6 53/54
Therefore, equation C is true.
D)
D = 2 3/7 × 1 7/8 = (17/7) × (15/8)
D = 255/56 = 4 23/56 = 2 3/8
Therefore, equation D is true.
E)
E = 7/12 × 4 = 7/3 = 2 1/3
Therefore, equation E is true.
Hence , the equations that are true are C, D, and E
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I need help!!! Can someone answer this? It’s very simple!
Answer: The greatest common factor od 12 and 18 is 6
Step-by-step explanation:
What is the area of this figure?
The answer to this problem is A) 760.27 in^2
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
C
Step-by-step explanation:
We can cross A and B off cause it involves multiplication
We can cross D off cause 3 + 3 + 3 = 9, not 27
Have a good day! Can u mark me as brainlist? :)
which of the following values are in the range of the function graphed below? check all that apply.
A. -2
B. 2
C. 3
D. 5
E. 1
Answer:
1, 2 and 3
Step-by-step explanation:
Question 18 of 25
In a group of 40 students, the probability that at most 15 of them like to hike
is 47%. What is the probability that at least 16 of them like to hike?
A. 44%
B. 38%
C. 62%
D. 53%
Answer:
D 53 is the answer I just took the test
Answer: 53
Step-by-step explanation: taking the test
Mark buys Apple stock for $100 and its value increases by a factor of 1.5 each week. Which equation represents the relationship between the number of weeks past since purchase, t, and the current value of the stock, V?
Given:
Initial value of the stock = $100
Growth factor = 1.5 each week.
To find:
The equation that represents the relationship between the number of weeks past since purchase and the current value of the stock.
Solution:
Let V be the current value of the stock after t week.
The exponential growth model is:
[tex]V=ab^t[/tex]
Where, a is the initial value of stock, b is the weekly growth factor, t is the number of weeks.
Substituting [tex]a=100,b=1.5[/tex], we get
[tex]V=100(1.5)^t[/tex]
Therefore, the required equation for the given situation is [tex]V=100(1.5)^t[/tex].
HELP PLZZZZZZZZZZZZ PLZZZZZZZZZZZZ
Answer:pretty sure B and E
Step-by-step explanation:
Write this expression in simplest form.
Answer:
[tex]7c\sqrt23d[/tex]
Write the exact value of the side length of each square. If the value is not a whole number, estimate the length.
area exact side length estimite side length
100 square units ------ units
95 square units bettween ----- and -----
36 square units -------units
30 square units bettween ----- and -----
Given:
The area of the squares are given.
To find:
The exact side length or estimate side length of the square.
Solution:
We know that, the area of a square is
[tex]A=a^2[/tex]
Where, a is the side length of the square.
[tex]a=\sqrt{A}[/tex]
Area of the square is 100 square units. So, the side length is:
[tex]a=\sqrt{100}[/tex]
[tex]a=10[/tex]
Therefore, the side length is 10 units.
Area of the square is 95 square units. So, the side length is:
[tex]a=\sqrt{95}[/tex]
It is not exact. We know that [tex]\sqrt{81}<\sqrt{95}<\sqrt{100}[/tex].
Therefore, the side length is between 9 and 10.
Area of the square is 36 square units. So, the side length is:
[tex]a=\sqrt{36}[/tex]
[tex]a=6[/tex]
Therefore, the side length is 6 units.
Area of the square is 30 square units. So, the side length is:
[tex]a=\sqrt{30}[/tex]
It is not exact. We know that [tex]\sqrt{25}<\sqrt{30}<\sqrt{36}[/tex].
Therefore, the side length is between 5 and 6.
Match the quadratic equations with the correct zeros
Answer:
Step-by-step explanation:
By zero product property,
Zeros of the given quadratic equation,
m² - 121 = 0
m² - (11)² = 0
(m + 11)(m - 11) = 0
m = -11. 11
Option C is the answer.
9x² - 3x - 2 = 0
9x² - 6x + 3x - 2 = 0
3x(3x - 2) + 1(3x - 2) = 0
(3x + 1)(3x - 2) = 0
x = [tex]-\frac{1}{3}, \frac{2}{3}[/tex]
Option B is the answer.
4x² + 2x - 6 = 0
2x² + x - 3 = 0
2x² + 3x - 2x - 3 = 0
x(2x + 3) - 1(2x + 3) = 0
(x - 1)(2x + 3) = 0
x = [tex]-\frac{3}{2},1[/tex]
Option A is the answer.
PQ and QR are 2 sides of a regular 12-sided polygon.
PR is a diagonal of the polygon.
Work out the size of angle PRQ.
You must show your working.
The size of the angle m∠PRQ for the polygon is equal to 15°
How to calculate for the angle PQR using interior angle of the polygonTo calculate the sum of interior angles of a polygon, you can use the following formula:
Sum of interior angles = (n-2) x 180 degrees
Where "n" represents the number of sides (or vertices) of the polygon.
Given the 12 sided polygon;
(12 - 2) × 180 = 1800
one interior angle = 1800/12 = 150°
The angle PQR is a base angle of the Isosceles triangle ∆PQR with one interior angle of the 12-sided polygon so;
m∠PRQ = (180 - 150)/2
m∠PRQ = 15°.
Therefore, the size of the angle m∠PRQ for the polygon is equal to 15°
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2. A
is when you write a check for a large amount due all at one time. (1 point)
lump-sum payment
retirement plan payment
car payment
credit payment
Answer:
A. Lump sum payment
Step-by-step explanation:
Just took the quiz
Answer:
Lump-sum payment is when you write a check for a large amount due all at one time.
Step-by-step explanation:
What is lump-sum payment?
Lump sum payment refers to a one-time large payment of money given to an employee, usually instead of a series of payments made over time.
The correct answer is Option 1.
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WILL MARK BRAINLIEST!! FOR RIGHT ANSWERS
Answer:
1. -3
2. 0/4 or 0
3. -2/3
4. -4/-3
Step-by-step explanation:
Answer:
1. The slope is -3
2. The slope is -1
3. The slope is -1/2
4. The slope is 4/3
Find the area of the given shape.
3)
11 cm
4.3 cm
A) 23.65 cm
C) 47.3 cm
B) 11.8 cm
D) 15.55 cm
Step-by-step explanation:
the answer is 23.65
if you look up "triangle formula area" a area calculator should pop up and you just put in the base and height number and it will do it for you
Por la comra de un televisor en 130 000 se ha pagado 1/4 al contado y el resto en 6 cuotas en igual valor cada una.
Answer:
Por la compra de un televisor en $ 130000 se ha pagado →1/4 del total al contado → el restante en 6 cuotas de igual valor .
el valor de cada cuota =?
Step-by-step explanation:
Para resolver el ejercicio se procede a realizar la operación indicada de calcular el valor de cada una de las 6 cuotas de igual valor, de la siguiente manera :
1/4 * $130000 = $ 32500
$ 130000 - $ 32500 = 97500 $ 97500 /6 = $ 16250
El valor de cada una de las 6 cuotas restantes es de $ 16250 .
for the following question, find the volume of the given prism. round to the nearest tenth if necessary
Answer:
D) 269.3
Step-by-step explanation:
Rectangular prism volume:
V = whl
V = (12.1)(5.3)(4.2)
V = 269.346
What are the coordinates of the hole in the graph of the function f(x)?
f(x)=x2+3x−28x+7
9514 1404 393
Answer:
(-7, -11)
Step-by-step explanation:
[tex]\dfrac{x^2+3x-28}{x+7}=\dfrac{(x+7)(x-4)}{x+7}=x-4\qquad x\ne-7[/tex]
The hole is at x=-7. The left- and right-limits at that point are -7-4 = -11. So, the coordinates of the hole are (-7, -11).
The half-life of a radioactive kind of thorium is 2 years. How much will be left after 4 years, if
you start with 992 grams of it?
grams
Answer:
ZOOM PLZ COME WE R BORED
MEETING ID 798 4170 2552
PASSWORD:XCNeV3
Step-by-step explanation:
Given the funtion f(x) =g(x-3)+2, describe transformation of f(x) on a coordinate plane relative to g(x). Please show work...
Answer:
Given function:
f(x) =g(x-3)+2This is a translation right and up:
h(x) = g(x - 3) indicates horizontal translation of 3 units rightf(x) = h(x) + 2 indicates vertical translation of 2 units upPlease help me I am doing a test I need to get 100 please help me
Which side lengths could form a triangle? Check all that apply.
A) 20,6,15
B) 8,8,17
C) 2,11,12
D) 19,34,15
Answer:
A, C, D
Step-by-step explanation:
One rule of thumb is just add up two sides and if its greater than the third value that side works. (make sure to test it for all of the sides though)
A function has the rule y = -2x + 11. Which of the following ordered pairs represents an input of 4 and its output?
(4, 3.5)
(4, 3)
(3.5, 4)
(3, 4)
please answer quickly
Answer:
(4, 3).
Step-by-step explanation:
Input 4 (x = 4):-
y = -2(4) + 11
= -8 + 11
= 3.
Question 1 of 10
Which rays form the sides of
C
E
O A. DC
B. CE
C. CD
D. DE
E. ED
F. EC
Answer:
Ray DC and Ray DE
Use long division method to find the result when 8x^3+14x^+11x+2 is divided by 4x+1
step by step
ANSWER: (2x^2-5x+1) *(4x+3)
((*8 • (x3)) - (2•7x2)) - 11x) + 3
STEP
2
:
Equation at the end of step
2
:
((23x3 - (2•7x2)) - 11x) + 3
STEP
3
:
Checking for a perfect cube
3.1 8x3-14x2-11x+3 is not a perfect cube
Trying to factor by pulling out :
3.2 Factoring: 8x3-14x2-11x+3
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -11x+3
Group 2: 8x3-14x2
Pull out from each group separately :
Group 1: (-11x+3) • (1) = (11x-3) • (-1)
Group 2: (4x-7) • (2x2)