Answer:
The correct estimate of the amount generated to the local economy is $3,333,333.[tex]\bar3[/tex]
Step-by-step explanation:
The amount the expected to be generated for the local economy = $3.3 million
The amount of salaries that will generate $3.3 million = $1 million
The percentage of the amount of the salaries and the subsequent earnings expected to be spent on the local community = 70%
Therefore, we have;
For a first amount of 1 million into the economy, the next amount to into the economy is 70/100 × 1 million = 700,000, then we have 70/100 × 700,000 and so on, which is a geometric sequence, with first term, a = $1 million, the common ratio, r = 70/100 = 0.7, the number of terms = Infinity = ∞
The sum of a geometric sequence to infinity is given as follows;
[tex]\sum\limits_{k = 0}^{\infty }a \cdot r^k = S_{\infty} = \dfrac{a}{1 - r}[/tex]
Substituting the known values gives;
[tex]\sum\limits_{k = 0}^{\infty }1,000,000 \times 0.7 ^k = \dfrac{1,000,000}{1 - 0.7}= 3,333,333.\bar 3[/tex]
Therefore, the correct estimate of the amount generated to the local economy by the $1 million salaries that will be paid = $3,333,333.[tex]\bar3[/tex].
Answer:
it A
Step-by-step explanation:
14. Sharlene bought 4 CDs at the music store. Each cost $14.95.
She was charged 5% sales tax on her purchase. What was
the total cost of her purchase?
Answer: $62.79
Step-by-step explanation: i got it right on my test
What is 16 x 2? This is a random question! I want to give away points so be quickkkkk!
Choose
A) 31
B) 34
C) 32
D) chicken wing
Answer: C.)32 Bestieeeee
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
If the price of beef rose from $8.72 per pound to $9.43 per pound, what is the percent of increase? Round to the nearest percent
Answer:
8.1%
Step-by-step explanation:
Step one:
given
initial price = $8.72 per pound
final price= $9.43 per pound
Required
the % increase
Step two:
% increase= (final-initial)/initial*100
substituting we have
[tex]percent- increase= (9.43-8.72)/8.72*100\\\\percent- increase= 0.71/8.72*100\\\\percent- increase= 0.081*100\\\\percent- increase= 8.1%[/tex]
Find all real values of x that satisfy the equation x^2 - 7x = 98.
Answer:
-7, 14
Step-by-step explanation:
We start by writing this in the form $x^2 + bx + c = 0$, so we subtract 98 from both sides of the equation.
This gives us $x^2 - 7x - 98 = 0$. We proceed by factoring $x^2 - 7x - 98$, so we seek numbers that multiply to $-98$ and add to $-7$. We find that $7$ and $-14$ work.
Thus, our equation becomes $(x + 7)(x - 14) = 0$. We can now apply the fact that if the product of two real numbers is zero, then at least one of the real numbers must be 0.
Solving $x + 7 = 0$ and $x - 14 = 0$, we find that the solutions are $\boxed{x =-7~\text{and}~x = 14}$.
The value of the equation is given by x = 14 or x = -7
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
x² - 7x = 98 be equation (1)
Subtracting 98 on both sides of the equation , we get
x² - 7x - 98 = 0
Now , on simplifying the equation , we get
x² - 14x + 7x - 98 = 0
Taking x as the common factor of the equation , we get
x ( x - 14 ) + 7 ( x - 14 ) = 0
On further simplification , we get
( x + 7 ) ( x - 14 ) = 0
Now , the two solutions to the equation is
( x + 7 ) = 0
Subtracting 7 on both sides of the equation , we get
x = -7
( x - 14 ) = 0
Adding 14 on both sides of the equation , we get
x = 14
Therefore , the value of A is 14 or - 7
Hence , the equation x² - 7x - 98 = 0 has the solutions of 14 and -7
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i don’t get this lol help
Should be pretty easy to answer, I just need a refresher. I forgot how to solve for triangles...
Answer:
25.734
Step of explanation:
tanjent =opposite/adjacent
cosine =adjacent /hypotenuse
sine =opposite /hypotenuse
this use tangent because the opposite number is there and we want to find adjacent
so t =opposite /adjacent
tan25 °=12/ a
a=12/tan25
=25.734
could somebody help please
I need help ASAP please
Answer:
g
Step-by-step explanation:
how many times does 50 go into 102?
Answer: 2 times with a remainder of 2. Remainder basically means whats left over and in this case, it's 2
Step-by-step explanation: 2 times 50= 100
I will give 5 stars and brainlist.
Answer:
I believe it's B
Step-by-step explanation:
I'm so sorry if im wrong
Help me on this please
Answer:
A. x1/15
Step-by-step explanation:
Answer:
It would be [tex]x^{\frac{8}{15}}[/tex] or D
Hope this helps
Will give crown help
Answer:
D is a right angle
B is an accute angle
A and C are obtuse
The drama club needs to sell 50 tickets to the school play. So far, they have sold 9 tickets. What percent of their target have they sold? Enter your answer in the box .
PLS HELP
Answer:
18%
Step-by-step explanation:
9/50 = 0.18 and 0.18 is 18% in percentage form
Answer:
18%
Step-by-step explanation:
FIrst set up a fraction so that later we can convert that into a percentage:
9/50
9 represents the number of tickets sold and the 50 represents the total
We divide numerator by denominator.
9/50 =
0.18
We multiply by 100 to get our percentage and we get 18%
2x+4y=8 find the slope
An 12-ounce bottle of orange juice costs $2.64. What is the cost of the orange juice per ounce?
Answer:
22 cents per ounce
Step-by-step explanation:
If all people were pea pickers, then how long would it take for the entire population of Earth to pick 1 mol of peas at the rate of one pea per second, working 15 hours per day, 365 days per year
It will take [tex] 1.392 \times {10}^{10} \: years[/tex] for the entire population of the Earth to pick a mole of pea at the specified rate.
1 mole of a substance is given by :
[tex]6.022 \times {10}^{23} [/tex]Rate per person = 1 pea per secondWorking 15 hours per day ; 365 days per year
1 person will pick = (1 × 365 × 15) = 5475 peas per year Taking the world population as 7,900,000,000 people Number of peas picked per year = (7,900,000,000 × 5475) = 43252500000000The time taken to pick 1 mole of pea will be :
1 mole of pea ÷ Number of peas picked per year [tex] \frac{6.022 \times {10}^{23} }{4.325 \times {10}^{13} } = 1.392 \times {10}^{10} \: years[/tex]The time taken to pick 1 mole of pea will be
[tex]1.392 \times {10}^{10} \: years[/tex]
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HELP WILL MARK BRAINLIEST
Answer:
D
Step-by-step explanation:
Answer: it would be d
Step-by-step explanation:
6 3/4 divided by 4 1/2
Answer:
1.5 (1 1/2)
Step-by-step explanation:
This is a method I personally like to use when you can change the fractions to decimals easily.
6 3/4= 6.75 (3/4= 0.75)
4 1/2= 4.5
6.75/4.5= 1.5
The result when the fraction [tex]6\frac{3}{4}[/tex] is divided by the fraction [tex]4\frac{1}{2}[/tex] is [tex]1\frac{1}{2}[/tex].
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, A fraction [tex]6\frac{3}{4}[/tex] is divided by the fraction [tex]4\frac{1}{2}[/tex].
Therefore, 27/4 is divided by 9/2 which is,
= (27/4)/(9/2).
= (27/4)×(2/9).
= 3/2 Or [tex]1\frac{1}{2}[/tex].
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please help i need this done by the next hour and i’m failing and struggling
3. The sector of a circle is shown below. It has a radius of 10 centimeters and a central
angle of 51 degrees. Find to the nearest tenth in both cases:
(a) the length of AB in centimeters(b) the area of the sector in square centimeters
1. An arc has a central angle of 1.8 radians and a radius of 20 inches. a. Determine the length of AB in inches
b. to the nearest degree what is the measure of
Answer:
Question 3)
[tex]\stackrel{\frown}{AC}=36\text{ inches}[/tex]
[tex]\angle BCA\approx103^\circ[/tex]
Question 1)
[tex]\stackrel{\frown}{AB}\approx 8.9\text{ cm}\\[/tex]
[tex]A\approx44.5\text{ cm}^2[/tex]
Step-by-step explanation:
Question 3)
We are given that the central angle is 1.8 radians and has a radius of 20 inches.
Part A)
The formula for arc length in terms of radians is given by:
[tex]s=r\theta[/tex]
Where s is the arc length, r is the radius, and θ is the angle in radians.
In this case, r is 20 and θ is 1.8. Hence, the arc length is:
[tex]\stackrel{\frown}{AC}=(20)(1.8)=36\text{ inches}[/tex]
Part B)
∠BCA is the central angle that measures 1.8 radians.
We can convert radians to degrees using the following formula:
[tex]\displaystyle d=\theta\cdot\frac{180^\circ}{\pi}[/tex]
Where d is the measure in degrees, and θ is the measure in radians.
Therefore:
[tex]\displaystyle d=1.8\cdot\frac{180^\circ}{\pi}\approx103.1324\approx103^\circ[/tex]
Question 1)*
Part A)
We will use the arc length formula in degrees given by:
[tex]\displaystyle s=2\pi r\cdot \frac{\theta^\circ}{360}[/tex]
Where r is the radius and θ is the angle measured in degrees.
We have a radius of 10 centimeters and a central angle of 51°. Therefore, our arc length is:
[tex]\displaystyle \stackrel{\frown}{AB}=2\pi(10)\cdot\frac{51}{360}=20\pi\cdot\frac{51}{360}\approx8.9\text{ cm}[/tex]
Part B)
We will use the formula for the area of a sector in degrees given by:
[tex]\displaystyle A=\pi r^2\cdot\frac{\theta^\circ}{360}[/tex]
So, we will substitute 10 for r and 51 for θ. Hence, the area of the sector is:
[tex]\displaystyle A=\pi (10)^2\cdot \frac{51}{360}=100\pi\cdot\frac{51}{360}\approx44.5\text{ cm}^2[/tex]
*Notes:
For this question, it is possible and completely fine for us to convert 51° to radians and then use the formulas in terms of radians.
Answer:
(1). 36 inch. , 103° ; (2). 8.9 cm , 44.5 cm² ;
Step-by-step explanation:
1).
(b). m∠BCA = 1.8 rad. × [tex]\frac{180}{\pi }[/tex] ≈ 103° ( π ≈ [tex]\frac{22}{7}[/tex] )
(a). C = 2 π r , the length of arc AB = ( 2 × [tex]\frac{22}{7}[/tex] × 20 ) ÷ 360° × 103.132° ≈ 36 inches
3).
(a). The length of arc AB = ( 2 × [tex]\frac{22}{7}[/tex] × 10 ) ÷ 360° × 51° ≈ 8.9 cm
(b). A = π r² , the area of the sector = ( [tex]\frac{22}{7}[/tex] × 10² ) ÷ 360° × 51° ≈ 44.5 cm²
0=(2y−1)(8−y) Let y=u, y=d. What is the value of u×d
Answer:
The value of uxd=4
Step-by-step explanation:
since y=u, y=d, y=y
y=1/2 and 8
2y-1=0
2y=1
y=1/2
8-y=0
8=y
1/2*8=4
Answer:
4
Step-by-step explanation:
0=(2y−1)(8−y)
Using the zero product property
2y-1 =0 8-y =0
2y =1 8=y
y =1/2 y= 8
Let y=u, y=d
u = 1/2 d = 8
We want the value of u*d
u*d = 1/2 *8 = 4
Please help me by answering my question
What category does the number negative 4 fall into 
Answer:
It falls in the integer category. The attached picture is a chart if you want to specify a number in a category.
Hope this helps :)
What is the value of r in the equation −43r−1=−2 ?
Answer:
r = 1/43
-43r = -2 + 1
43r = -1
r = -1/-43
r=1/43
Select all of the symbols that would make the comparison true.
-7_4
Find (x^3+7x^2-16x-112) divide (x+4) by using synthetic division.
Answer:
x^2+3x-28
Step-by-step explanation:
Answer:
The answer is x^2 3x 28
Step-by-step explanation:
y−4=7(x−6) what is the ordered pair solution for this problem
PLEASE HELP ME!!!!
What is 567-58y+375-56=13c-5s-456x249=?
I NEED HELP!!
whats one plus 1 x 111111100000+y7897654323456x1
Answer:
Shoyo here!
Step-by-step explanation:
10000000000000000000000000000000
Tia takes $50 from her bank account to pay for the bus fare for the month. She does this each month for 7 months in a row. Which equation models this situation and represents the change it causes in Tia's bank balance
Answer:
$490 dollars
Step-by-step explanation:
Tia takes 50 dollars for her bus fare every month for 7 months. Do 7 X 5 to get your answer which is 49 then add a zero to 49.
Which equation represents the graphed function?
10,3)
(32)
2
5
-3 -2 -1
1
3
4 5
-2
DR
Or
A
y = -3x + 3
B
y=-{x+3
С
y = 3x -
D
y = 3x - 3
Answer:
the equation is y=-1/3x+3