Answer:
(b) a = 50 * 2^(t/4)
(c) 951
Step-by-step explanation:
After t hours
a = 50 * 2^(t/4)
After 17 hours
a = 50 * 2^(17/4)
a = 50 * 2^(4.25)
Use calculator
a = 951.3656920022
Rounded
a = 951
For the given corporate bond, whose annual simple interest rate is provided, find the
semiannual simple interest payment and the total interest earned over the life of the bond. As soon 365 days in a year.
$5200 company A, 30 year bond, 6.273%
Answer:
reagain and none that I know about the other day and none that I know that you are
The volume of a cylinder is 72 pie cm3. If the radius is 3cm, what is the height of the cylinder?
Answer:
A
Step-by-step explanation:
maybe
Answer:
Step-by-step explanation:
2.55cm
At a pottery shop, there are 7 vases for every 3 planters.
Which of the following shows the ratio of planters to vases at the shop?
Answer:
3:7
Step-by-step explanation:
a ratio is a representation of a certain amount of two items. since there are 7 vases for every 3 planters, the amount of vases versus the amount of planters is represented by 3:7
A store manager is marking down easels from $40 to $28. What is the discount, as a
percentage?
Write your answer using a percent sign (%).
Answer:
30% discount
that's a big discount!
Answer:
30%
Step-by-step explanation:
G varies inversely with the square
of H. When H is 4, G is 0.25.
Find the value of G when H is 0.3.
Answer:;4.4
Step-by-step explanation: Since it varies inversely we know G times H squared is equal to some constant, k. So we have G*H*H=k. We are told that when H=4, G=.25. Plugging this in, we have .25*4*4=k. This simplifies to 4=k. Our new equation is G*H*H=4. Now, we want to solve for G when H=.3. We plug it in. G*.3*.3=4 => G*.09=4. G=4/.09. This means G is approximately 44.4.
Answer:
G = 44.44
Step-by-step explanation:
Given the mathematical expression and data;
[tex] G = \frac {1}{H^{2}} [/tex]
H = 4 and G = 0.25
First of all, we would determine the constant of proportionality, k.
[tex] G = \frac {k}{H^{2}} [/tex]
Making k the subject of formula, we have;
k = GH²
Substituting the values, we have;
k = 0.25 * 4²
k = 0.25 * 16
k = 4
Next, we find the value of G when H = 0.3;
[tex] G = \frac {k}{H^{2}} [/tex]
[tex] G = \frac {4}{0.3^{2}} [/tex]
[tex] G = \frac {4}{0.09} [/tex]
G = 44.44
Deposits into a bank account are represented by positive numbers. Withdrawals from the
account are represented by negative numbers. Which amount represents a withdrawal of
less than $200 ?
$150
$-250
$250
$-150
[tex] \red{answer}[/tex]
$-150
A girl work a works a basic week of 40 hours,and her basic rate is 6.25per hour .calculate her basic wage for that week
Answer:
250
Step-by-step explanation:
Basic wage is 40 * 6.25
Answer:
40x6.25=250
Step-by-step explanation:
She makes 6.25 per hour
she works 40 hours
Multiply the two to find how much she made in a week, not a day
r/7.1 = 4.2
what is r =
Answer:
r =29.82
Step-by-step explanation:
r/7.1 = 4.2
Multiply each side by 7.1
r/7.1 *7.1 = 4.2*7.1
r =29.82
Let point C be the center of the circle below. What is the
approximate length of minor arc XZ? Answers are in inches.
NEED ANSWER ASAP please, check the picture
Answer:
8.58
Step-by-step explanation:
the length of minor arc XZ
= 82/360 × 2 × 3.14 × 6
= 8.58 in
Complete the statement. [Type your answer as a number.]
7 pounds × 16 ounces
Answer:
1792
Step-by-step explanation:
1 pound = 16 ounces
7 x 16 x 16
= 7 x 16^2
= 7 x 256
= 1792
What is the length of the base edge labeled x?
Answer:
It is six cm。
Step-by-step explanation:
Marco made 2 errors in solving the following inequality. Identify the mistakes and correctly solve.
-18 - 4y > 20
-4y > 2
y > -1/2
Answer:
Step-by-step explanation:
When moving -18 to the other side, he didn’t do 20 + 18. (Mistake 1)
When dividing 2/-4 he didn’t flip the inequality from > to <. (Mistake 2)
Correct:
[tex]-18-4y<20\\-4y<38\\y > -9.5 (or -4\frac{1}{2}[/tex]
Which point is the vertex for the graph of y= |x| + 2?
A. (0,0)
B. (0,1)
C. (0,-2)
D. (0,2)
E. (2,0)
The correct answer is vertex of the graph D. (0, 2).
To find the vertex of the graph of the function y = |x| + 2, we need to determine the point where the function reaches its minimum or maximum value.The graph of y = |x| is a V-shaped graph with the vertex at the origin (0, 0). When we add 2 to this function, the graph is shifted upward by 2 units.So, the vertex of the graph of y = |x| + 2 is at (0, 2).
Therefore, the correct answer is D. (0, 2).The function y = |x| + 2 represents a V-shaped graph, and the vertex of this graph occurs at the origin (0, 0). By adding 2 to the function, the graph is shifted upward by 2 units. Therefore, the vertex of the modified function y = |x| + 2 is found by shifting the original vertex (0, 0) vertically by 2 units. This means the new vertex is located at (0, 2). This point represents the minimum value of the function, as it is the lowest point on the graph.
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In ΔNOP, o = 64 inches, p = 83 inches and ∠N=168°. Find the area of ΔNOP, to the nearest square inch.
Answer:
552
Step-by-step explanation:
Area of a Triangle→S.A.S.
Area=1/2 ab sin C
area = 1/2 (64)(83) sin 168
area=552.213=552
If ΔNOP, o = 64 inches, p = 83 inches and ∠N=168°.Then area of ΔNOP is 552 square inch.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given,
ΔNOP, o = 64 inches, p = 83 inches and ∠N=168°.
The length of two sides and an angle is given.
So we can use SAS postulate
The SAS postulate says that if two sides of one triangle and the angle included between them are congruent to two sides and the included angle of a second triangle, then the triangles are congruent.
Area of a Triangle
Area=1/2 absin C
area = 1/2 (64)(83) sin 168
area =2656 sin 168
area=552.213=552
Hence area of ΔNOP, to the nearest square inch is 552 square inch
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There is 1/3 of a pan of cornbread left. Four children are going to share it equally. What fraction of the whole pan of cornbread will each child get?
The fraction of the whole pan of cornbread each child will get is 1/12.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, 1/3 of a pan of cornbread shared among 4 children.
Here, cornbread share of each child = Total quantity of bread/Number of children
= 1/3 ÷ 4
= 1/3 × 1/4
= 1/12
Therefore, the fraction of the whole pan of cornbread each child will get is 1/12.
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Solve for x, where x is a real number.
√x-5=6
How many solutions are there
Answer:
x=121
Step-by-step explanation:
1. Move the constant to the right-hand side and change its sign
square rootx = 6+5
2. Add the numbers
square rootx= 11
3. Square both sides of the equation
x=121
Check if the given value is the solution of the equation
square root 121 -5 =6
Simplify the expression
6=6
The equality is true, therefore x=121 is a solution of the equation
Find the trigonometric ratio for cos B may need to use Pythagorean theorem
Answer:
The answer is cos B = 2/3
I hope it will help you :)
Write an explicit formula for an, the nth term of sequence 2,4,8
Answer:
2^n will be your explicit formula for this sequence.
Step-by-step explanation:
By analyzing the sequence;
2=2^1
4=2^2
8=2^3
and so on
We find that the numbers of this sequence progresses with 2 to the power of the nth term such as for 3rd term we have 2^3 which is 8.
what is the ratio of 54:27 it the simplest form
Answer:
21
Step-by-step explanation:
Answer:
2 : 1
Step-by-step explanation:
54:27
Divide each side by 27
54/27:27/27
2 : 1
một hôp có 15 quả bóng bàn, trong đó có 9 bóng mới và 6 bóng cũ. Lần đầu chọn ra 2 bóng để sử dụng sau đó lấy thêm 2 bóng nữa để cho mượn
a) tính xác suất 2 bóng chọn lần sau là 2 bóng mới
b) giả sử biết rằng 2 bóng chọn lần sau là 2 bóng mới. tính xác suất 2 bóng chọn lần đầu là 2 bóng mới ?
Answer:
Sorry but I cannot understand that languageHow many meters are in 9 kilometers? 90,000 meters 9,000 meters 900 meters 90 meters
Answer:
9000 metres
Step-by-step explanation:
a kilometer has 1000 metres
so 9 kilometers has 9*1000 = 9000 metres
Answer:
Step-by-step explanation:
1 km=1000m
9 km=1000*9m
=9000 m
an integer is 8 less than 5 times another product is 85. find the integers
Answer:
x=5, x=-17/5
Step-by-step explanation:
x=integer
5x-8= ...is eight less than five times another product
=85
So our equation is x·(5x-8)=85
Steps:
distribute x
5x^2-8x=85
Subtract 85 to create a quadratic equation
5x^2-8x-85=0
Now I"ll upload the work that's shown in Symbolab because it's neater than my own work-
Hope I helped, have a nice day :)
Graph the system of equations. { -x +2y = -8, 2x + y =6. Will Mark Brainliest. Need ASAP
Answer:
Graph the -x+2y=-8 as y=1/2x-4
and 2x+4=6 as y=-2x+6
Step-by-step explanation:
hope you understand how to graph y=mx+b equations.
find the area of the circle
Answer:
A = 1.77 ft^2
Step-by-step explanation:
The circle has a diameter of 1.5 ft
We need the radius
r = d/2 = 1.5/2 = .75 ft
The area of a circle is
A = pi r^2
A = 3.14 ( .75)^2 = 1.76625
To the nearest hundredth
A = 1.77 ft^2
Answer:
1.77 ft²
Step-by-step explanation:
The formula to find the area of a circle :
A = πr²
First, let us find the radius of the circle.
Given that,
diameter ⇒ 1.5 ft
d = 2r
1.5 = 2r
Divide both sides by 2.
0.75 = radius
Now, let us find the area of the circle.
A = πr²
A = 3.142 × 0.75 × 0.75
A = 1.767 ft²
A ≈ 1.77 ft²
a school held a tennis tournament. after each round one fourth of the players were eliminated. if there were 64 players at the start of the tournament, which equation models the number of players left after 6 rounds
Answer:
If there are 32 teams in the tournament and 1 winner, there were 31 games. So, 63 - 31 = 32 games.
Step-by-step explanation:
you would do 64/1 • 1/4 to get 16 so every round 16 people would leave.
A manufacturer has determined that for every 1000 units it produces, 3 will be faulty. What is the probability that an order of 50 units will have one or more faulty units
Answer:
0.1393 = 13.93% probability that an order of 50 units will have one or more faulty units.
Step-by-step explanation:
Mean for a number of units, which means that the Poisson distribution is used to solve this question.
Poisson Distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
Mean:
3 defective for 1000, how many for 50?
3 - 1000
[tex]\mu[/tex] - 50
Applying cross multiplication:
[tex]\mu = \frac{3*50}{1000} = 0.15[/tex]
What is the probability that an order of 50 units will have one or more faulty units?
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-0.15}*(0.15)^{0}}{(0)!} = 0.8607[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8607 = 0.1393[/tex]
0.1393 = 13.93% probability that an order of 50 units will have one or more faulty units.
Express 0.89 as percentage and fraction.
Arithmetic
0.89=89%=89/100
Shaquana went shopping for a new pair of sneakers because of a sale. The store was offering a 50% discount. What number should she multiply the prices on the tags by to find the price she would have to pay, before tax, in one step?
Answer:
.50
Step-by-step explanation:
50% is .50. The price of the item is .50 (100%-50% discount).
Plz help me. I need to ace this. Thxx
Answer:
Their intersection point is the only point where the same input into both functions yields the same output.
Step-by-step explanation:
In this case, x = 0 and y = 5.
Which of the following is equal to tan θ using coordinates on the unit circle? Question 18 options: A) x∕y B) y C) y∕x D) x
Step-by-step explanation:
tan 0 = y/x (as a drawing attached)
The requried, y/x is equal to tan θ using coordinates on the unit circle. Option C is correct.
What is a circle?The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²
where h, k is the coordinate of the center of the circle on a coordinate plane and r is the radius of the circle.
Here,
In a unit circle, the coordinates of a point on the circle are (cos θ, sin θ), where θ is the angle formed by the radius of the circle and the positive x-axis. Therefore, the tangent of θ is given by the ratio of sin θ to cos θ, which is (sin θ)/(cos θ) = y/x. Simplifying this expression, we get tan θ = y/x.
Therefore, the answer is option C) y/x.
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