Answer:
Step-by-step explanation:
We have;
P = 4500
A = 8550
T= 5 years
I= ?
R=?
We know,
A= P+I
or, 8550=4500+I
∴I=8550-4500= 4050
Now, I= PTR/100
Or, 4050= (4500*5*R)/100
Or, 4050=45*5*R
Or, R= 4050/225
∴R= 18%
[tex]\Large\bold\red{Question}[/tex]
Refer to the attachment.
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[tex]\huge \rm༆ Answer ༄[/tex]
The equivalent expression is ~
[tex] \boxed {\boxed{ \sf2}}[/tex]Refer to attachment for solution ~
For x such that 0 < x < [tex]\frac{\pi}{2}[/tex], the mathematical expression is:
[tex]\frac{\sqrt{1 \;-cos^2x} }{sinx} + \frac{\sqrt{1 \;-sin^2x} }{cosx} = 1+1=2[/tex]
Given the following data:
[tex]\frac{\sqrt{1 \;-cos^2x} }{sinx}[/tex][tex]\frac{\sqrt{1 \;-sin^2x} }{cosx}[/tex]In Trigonometry, you should take note of the following mathematical expression:
[tex]sin^2x + cos^2x = 1[/tex]
Therefore, we can obtain the following:
[tex]sin^2x = 1 - cos^2x[/tex] ...equation 1.
[tex]cos^2x = 1 - sin^2x[/tex] ...equation 2.
Substituting the equations respectively, we have:
[tex]\frac{\sqrt{1 \;-cos^2x} }{sinx} + \frac{\sqrt{1 \;-sin^2x} }{cosx} = \frac{\sqrt{sin^2x} }{sinx} + \frac{\sqrt{cos^2x} }{cosx}\\\\[/tex]
Taking the square roots, we have:
[tex]\frac{sinx}{sinx} + \frac{cosx}{cosx} = 1 +1\\\\1+1=2[/tex]
Therefore, for x such that 0 < x < [tex]\frac{\pi}{2}[/tex], the expression is:
[tex]\frac{\sqrt{1 \;-cos^2x} }{sinx} + \frac{\sqrt{1 \;-sin^2x} }{cosx} = 1+1=2[/tex]
Read more on trigonometry here: https://brainly.com/question/4515552
The set of ordered pairs shown below defines a relation. (MAFS.912.F-IF.2.4){(0, 0), (1, 5), (2, 8), (3, 9), (4, 8), (5, 5), (6, 0)}What is the value of the greatest element in the range of this relation?
Using the range concept, it is found that the greatest element in the range of this relation is 9.
The range of a data-set is the set that contains all possible outputs.The data-set has the format (x,y), in which the values of y are the outputs.Hence, the range is: {0, 5, 8, 9}.
From the given range, the greatest element is 9.For more on range of data-sets, you can check https://brainly.com/question/10891721
Solve 7x2-11x+13=0 by completing the square
Answer:
i think its 16
Step-by-step explanation:
You are thrown 4 fastballs and you must hit them in a fair zone to count.
If you hit al 4 in a fair zone, you win the big prize
If you hit 3 or 2 in a fair zone, you win a medium size prize
If you hit 1 in the fair zone, you get the small prize
If you hit zero, you are not a winner and receive nothing
Hint Create a tree diagram to help calculate the probabilities.
What is the probability you will win the big prize?
O 1/5
O 3/32
none of the above
2/9
1/16
Using the binomial distribution, it is found that there is a [tex]\mathbf{\frac{1}{16}}[/tex] probability you will win the big prize.
For each ball, there are only two possible outcomes, either it is hit or it is not. The probability of hitting a ball is independent of any other ball, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
4 balls are thrown, hence [tex]n = 4[/tex]0.5 probability of hitting each of them, hence [tex]p = \frac{1}{2}[/tex]You win the big prize if you hit 4 balls, hence, the probability is P(X = 4).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{4,4}.\left(\frac{1}{2}\right)^{4}.\left(\frac{1}{2}\right)^{0} = \frac{1}{16}[/tex]
[tex]\mathbf{\frac{1}{16}}[/tex] probability you will win the big prize.
A similar problem is given at https://brainly.com/question/24863377
Answer:
1/16
Step-by-step explanation:
yurr
The Heads Up Salon charges a stylist $50 a day to rent a station at the salon. Jenny, one of the stylists, makes $25.50 for each haircut. Write an equation that could be used to determine how many haircuts, h, Jenny must give in one day to make $154 after paying rent for her station.
Answer:
50h+25.5=154
Step-by-step explanation:
The sum of three consecutive odd numbers is 153 find the number
Answer:
Divide the no. by three
Step-by-step explanation:
153÷3 = 51
so, 51+51+51 = 153
Answer:
an odd number can be expressed as 2n+1 (2n would be even, add 1 = odd)
first number = 2n+1
second number = 2n+3 -> skip + 2 because it would make it even
third number = 2n+5
2n+1+2n+3+2n+5=153
6n+9=153
6n=144
n=24
24*2+1=48+1=49
24*2+3=48+3=51
24*2+5=48+5=53
the numbers are 49, 51, and 53.
What is the distance between -10 and 17 on the number line?
Find the difference:
17 - (-10) = 27
So the distance between 17 and -10 is 27.
Answer: 27
Step-by-step explanation:
Please help
Thank you
Answer:
m ∠JPN = 131°
Step-by-step explanation:
m ∠JPL = m ∠MPK Vertical angles are =
7x + 19 = 11x -17 Substitution
- 4x = -36 Algebra: Solving for x
x = 9 Algebra: Solving for x
m ∠JPL = 82° Substitution x = 9 into m ∠JPL = 7x +19
m ∠JPL + m ∠LPK = 180° Definition of linear pair/supplement
angles = 180°
82° + m ∠LPK = 180° Substitution
m ∠LPK = 98° Algebra
m ∠LPK = m ∠LPN + m ∠NPK Angle addition Theorem
PN bisects ∠LPK Given
m ∠LPN = m ∠NPK Definition of angle bisector
98 ° = 2 ( m ∠LPN) Substitution
m ∠LPN = 49° Algebra
m ∠JPN = m ∠JPL + m ∠LPN Angle Addition
m ∠JPN = 82° + 49° Substitution
m ∠JPN = 131° Addition
expand and simplify \left(4+\sqrt{2}\right)\left(6-\sqrt{2}\right) give your answer in the form of b +c \sqrt{2}
Answer:
you get 15\3 divide then you answer would be 5
Step-by-step explanation:
Maria's monthly income is $1,250. She can afford to spend 25% of her income for rent. How much can she pay for rent each month?
Answer:
312.5
Step-by-step explanation: 25 percent of 1250 is 312.5(calculated)
to check your answer we multiply 312.5 by 4 as its (25%=1/4)
HELP ME PLZZZZ
its really hard and i cant solve it i have two more quetions to answer and thats it so plz help
Answer:
(-1, -6)
Step-by-step explanation:
Answer to this ?……..
If you filled out the chart fully:
a = 4
b = 7
c = 6
d = 9
e = 17
Based on the chart, their 7 girls and 10 boys. In this case, it is a better chance of selecting a boy which ratio is:
7:10
There is a greater chance of picking a boy than a girl where there is three more boys than girls.
Use completing the square to solve for x in the equation (x+ 7)(x-9)=25,
OX= 4 or 6
O X-2 or 14
O x=1V89
O x=1 V87
Answer:
3rd option
Step-by-step explanation:
(x + 7)(x - 9) = 25 ← expand left side using FOIL
x² - 2x - 63 = 25 ( add 63 to both sides )
x² - 2x = 88
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 1)x + 1 = 88 + 1
(x - 1)² = 89 ( take square root of both sides )
x - 1 = ± [tex]\sqrt{89}[/tex] ( add 1 to both sides )
x = 1 ± [tex]\sqrt{89}[/tex]
Which ordered pair is a solution to the system of inequalities?
{y > -2
{x + y ≤ 4
A. (1,3)
B. (0, -4)
C. (-2,-3)
D. (1,5)
A (1,3) is a solution to the system of inequalities
I do believe i need help.
Answer:
A
Step-by-step explanation:
Can't have 0 in the denominator
Andrew measured a line to be 12.2 inches long. If the actual length of the line is 12.7 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
The percent error of the measurement, to the nearest tenth of a percent is 3.9%
Given:
Length measured = 12.2 inches
Actual length = 12.7 inches
Error = Actual length - Length measured
= 12.7 - 12.2
= 0.5
Percentage error = error / actual value × 100
= 0.5/12.7 × 100
= 0.039370078740157 × 100
= 3.937%
Approximately,
Percentage error = 3.9%
Therefore, the percent error of the measurement, to the nearest tenth of a percent is 3.9%
Learn more about percentage error:
https://brainly.com/question/5493941
Kindly Simplify this Question
Step-by-step explanation:
(3⁵×2^-5×5^-5×2×3²)/(5⁵×3^-2×2^-2)
[3^(5+2+2)][2^(-5+1+2)][5^(-5-5)]
3⁹×2^-2×5^-10.
hope this helps you.
Car Miles Driven Gallons Used
Car A 84 2
Car B 90 4.5
Car C 108 3
Car D 185 5
Which car can travel the furthest on one gallon of gas?
Car A
Car B
Car C
Car D
Answer:
A is correct. Car D will go furthest.
Step-by-step explanation:
PLEASE ANSWER AS SOON AS YOU SEE THIS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Which expression is equivalent to 5 (2 + 7)? 2 (5 + 7) 2 + 7 (5) 5 (2) + 7 5 (2) + 5 (7)
Answer:
D. 5 (2) + 5 (7)Step-by-step explanation:
Given expression:
5(2 + 7)Distribute this to get:
a(b + c) = ab + ac5(2 + 7) = 5(2) + 5(7)Correct choice is D
Answer:
D. 5 (2) + 5 (7)
Step-by-step explanation:
Given expression:
• 5(2 + 7)
Distribute this to get:
• a(b + c) = ab + ac
• 5(2 + 7) = 5(2) + 5(7)
correct choice is D
Solve the following equation for b. Be sure to take into account whether a letter is capitalized or not.
gb-m=9
Answer:
g=10
b=1
m=1
Step-by-step explanation:
hi hope you are well can someone give the answers will mark as brainliest as soon as I am done with this assignment
Answer:
41) 10
42) 65
43) 26
44) 33
45)65
41.)10
42.) 65
43.)26
44.)33
45.)65
hoped that helped:)
How do I find domain and range.
Answer:
The domain is all the x values and the range is all the y values.
Since there are 6 points on the figure, just find the coordinates (x, y) for all the points. Then get all the x and y values separated in a table.
I'm just going to assume this is scaled by 1 unit per square
Here are all the points on the graph:
(-6, -1)
(-4, 3)
(-4, -6)
(0, 2)
(2, -2)
(5, 7)
Now just split them into their x and y values
The Domain: -6, -4, 0, 1, 5
The Range: -1, 3, -6, 2, -2, 7
Answer:
Interval notation
Domain: [-6, 5]Range: [-1, 7]Step-by-step explanation:
The domain is the x-value on the x-axis. The range is the y-value on the y-axis.
Find the two highest points on opposite sides in the graph.
find the x-values (refer to the image below)find the y-values (refer to the image below)After this step has been completed, you can write it in different forms, for example in interval notation:
The domain would be [-6, 5]
The range would be [-1, 7]
Note - for interval notation, when the point is a closed circle, the ending parenthesis would be "[ "or "]". However, when it is an open circle, the parenthesis would be "( "or ")".
graph -1,-1 on this graph
Answer:
so that's how you plot their intersection
today everything at a store is on sale the store offers a 20% discount the discount price of a hat is $18 what is the regular price
Answer:
$20
Step-by-step explanation:
45. You decide to market your own custom computer software. You must invest $3,255 for
computer hardware, and spend $2.90 to buy and package each disk. If each program sells
for $13.75, write a system of equations and determine how many disks you must sell to
break even.
This recipe makes 6 pancakes. Sanjay follows the recipe but wants to make 30 pancakes. How much of each ingredient does he need? Recipe: Makes 6 135 g flour 1 teaspoon (tsp) baking powder 2 tablespoons (tbsps) sugar 130 ml milk 1 egg 2 tablespoons (tbsps) oil
Answer:
30 pancakes/6 pancakes = 5, so Sanjay needs to multiply the recipe by 5 (make batches of 6 pancakes 5 times for 30 pancakes in total)
flour: 135g*5=675g
baking powder: 1 tsp*5=5 teaspoons
sugar: 2 tbsps*5=10 tablespoons
milk: 130ml*5=650ml
eggs: 1 egg*5=5 eggs
oil: 2 tbsps*5=10 tablespoons
two expressions that are equivalent to 5.75 ÷ 1.15.
Answer:
i think the answe is A and B hope this helps
Step-by-step explanation:
Have a nice day!
Answer:
5.75 / 1.15 = 5
5 is an answer.
10/2 is also an answer.
25/5 is also also an answer.
100/20 is also also also an answer.
Solve for x.
5.3>x+25
x>4910
x<5710
x<4910
x>5710
Answer:
x= < 4 9/10
Step-by-step explanation:
I hope this helps
Have a great and blessed day
Answer:
K12 Answer
Step-by-step explanation:
Solve for g.
f=1/3(g+h-k)
help it’s timed
Answer:
g = 3f - h + k
Step-by-step explanation:
hope this helps! :D
have a miraculous day, and brainliest is immensely appreciated!! <3
solve for x 12+6x/3= 5-9/2
Answer: I hope this helps! :)
x = -3
rearrange terms: 6x+12/3 = 5-9/2subtract the numbers: 6x+12/3 = -4/2eliinate fractions denominators: 3 times 6x+12/3 = 3(-2)simplify fractions: 6x+12/3 = -2eliinate fractions denominators: 3 times 6x+12/3 = 3(-2)multiplt the numbers: 6x + 12 = -6subtract 12 from both sides of the equation: 6x + 12-12 = -6-12simplify: 6x = -18divide both sides of the equation by the same factor: 6x/6 = -18/6x = -3Answer: x=-3
Answer:
[tex]x = -3[/tex]Step-by-step explanation:
[tex]\frac{12 + 6x}{3} = \frac{5 - 9}{2}[/tex]=> [tex]2(12 + 6x) = 3(5 - 9)[/tex]=> [tex]24 + 12x = 15 - 27[/tex]=> [tex]24 + 12x = -12[/tex]=> [tex]24 + 12 = -12x[/tex]=> [tex]36 = -12x[/tex]=> [tex]x = -3[/tex]Conclusion:
Therefore, x = -3
Hoped this helped.
[tex]GeniusUser[/tex]
