Answer:
The original amount was: P = $800
Step-by-step explanation:
Given
Interest I = $22.40
Interest rate = r = 2.8% = 0.028
time t = 1 year
Using the interest formula
I = Prt
I = InterestP = Principle or initial valuer = interest rate t = time (years)substituting the values
I = Prt
22.40 = P (0.028) (1) ∵ I = 22.40, r = 2.8% = 0.028, t = 1
P = 22.40 / 0.028
P = $800
Therefore, the original amount was: P = $800
it's D (800.00)
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Which graph represents the function f(x)=2.4?
Answer:
show the graph then we can fingerite out
Step-by-step explanation:
we will have to see the graph then we can see what we are working with
21. Which property is used to simplify the expression 5(3x + 18) to 152 + 90?
Can you answer this?
Certain mineral elements required by plants are classed as macronutrients. Macronutrients are measured in terms of their percentage of the dry weight of the plant. Proportions of each element vary in different species and in the same species grown under different conditions. One macronutrient is sulfur. In a study of winter cress, a member of the mustard family, these data, based on three independent random samples, are obtained:
Answer:
The value of μ will be "0.82".
Step-by-step explanation:
The given question is incomplete. Please find attachment of the complete question below.
The given three random samples are 0.8, 0.95 and 0.7.
Now,
⇒ [tex]\mu=\frac{\bar{x_1}+\bar{x_2}+\bar{x_3}}{3}[/tex]
On substituting the estimated values, we get
⇒ [tex]=\frac{0.8+0.95+0.7}{3}[/tex]
⇒ [tex]=\frac{2.45}{3}[/tex]
⇒ [tex]=0.82[/tex]
It will not rational here, considering the equivalent significance, since the sampling amount for sample 3 becomes somewhat big 200.
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ANSWER ASAP PLEASE
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
To the nearest meter, how many meters are in 201 inches?
Step-by-step explanation:
5.1054 meters
I think you should round the number tho
Find the probability pulling a Cub suited card from a deck of playing cards.
5. What type of set is G?
G={liquids, solids, gases, plasmas}
A. Empty
B. Unit
C. Finite
D. Infinite
The lines A and B are parallel. Identify a pair of corresponding angles?
Answer:
2 and 5............................
Answer:
Yes. 2 & 5 / 4 & 8 / 1 & 6 / 3 & 7 (Choose one yourself)
Step-by-step explanation:
Corresponding angles are angles that have one angle outside a pair of parallel lines and one angle within it and they are equal to each other.
A drawer contains 12 identical white socks, 18 identical black socks
and 14 identical brown socks. What is the least number of socks you
must choose, without looking, to be certain that you have chosen two socks of the same colour?
Answer:
2 brown
Step-by-step explanation:
The only time you can be so sure you've chosen 2 brown socks is when there are no more white socks and black socks. This means that to be 100% sure that you have chosen 2 brown socks you have to choose the 12 white socks and the 18 black socks and only then can you choose 2 brown socks without looking. Therefore, the total number of socks to choose from is:
Total number of socks = 12 white socks + 18 black socks + 2 brown socks
Total number of socks = 32 socks
A total picking of 32 socks is necessary to be sure without looking that 2 brown have already been chosen that way.
The least number of socks must choose, must choose without looking, to be certain that you have chosen two socks of the same color is 4.
What is least number?The least number is "the smallest or lowest number or degree".
According to the question,
A drawer contains 12 identical white socks, 18 identical black socks, and 14 identical brown socks.
In order to find the least number of socks you must choose, without looking, to be certain that you have chosen two socks of the same color.
Since, we have only 3 different colors to get pair of one color we need to take 4 socks so that last one must matches color of socks what we have already have in our hand.
Hence, it clearly shows the least number of socks must choose, without looking, to be certain that you have chosen two socks of the same color is 4.
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Which statements describe the key features of the graph of ? Check all that apply.
The graph has a y-intercept at –2.
The graph has an x-intercept at –6.
The graph has a vertical asymptote at x = 3.
The graph has a vertical asymptote at x = –3.
The graph has a horizontal asymptote at y = 1.
Answer:
The answer is A,B,D
Step-by-step explanation:
I got it right on EDGE
The required key features of the given [tex]y\ =\ \frac{\left[18-3x-x^{2}\right]}{x^{2}-9}[/tex] area as follows,
(A) The graph has a y-intercept at –2.
(B) The graph has an x-intercept at –6.
(D) The graph has a vertical asymptote at x = –3.
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
Given function
[tex]y\ =\ \frac{\left[18-3x-x^{2}\right]}{x^{2}-9}[/tex]
Draw the graph of the above function,
From the graph, we can conclude the points that,
The Y-intercept of the function is y = -2, the X=intercept of the function is x = -6, and the vertical asymptote at x = –3.
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I need help!
Screenshot down below.
Please give me real answers and not spam (those who spam will get reported)
Please SHOW your work
The formula for the question below is A=Pe^rt
=======================================================
Work Shown:
P = 1000 is the amount deposited
We want this value to double to A = 2000 which is the amount in the account at time t (in years).
r = 0.03 represents the interest rate in decimal form.
The value of t is unknown but we can solve for it like so
[tex]A = Pe^{rt}\\\\2000 = 1000e^{0.03t}\\\\2 = e^{0.03t}\\\\\ln(2) = \ln\left(e^{0.03t}\right)\\\\\ln(2) = 0.03t\ln\left(e\right)\\\\\ln(2) = 0.03t*1\\\\\ln(2) = 0.03t\\\\[/tex]
[tex]0.03t = \ln(2)\\\\t = \frac{\ln(2)}{0.03}\\\\t \approx 23.1049060186649\\\\t \approx 23\\\\[/tex]
It will take about 23 years for the amount to double.
As a check,
[tex]A = 1000e^{0.03t}\\\\A \approx 1000e^{0.03*23.104906}\\\\A \approx 1,999.9999988806\\\\A \approx 2000\\\\[/tex]
which helps show that after roughly 23 years, we'll have about 2000 dollars in the account.
------------
Side note: Use of the rule of 72 leads to 72/3 = 24. The '3' is from the 3% interest rate. So the rule of 72 says it will take about 24 years for the amount to double. This isn't too far off from the 23 answer we got.
Slope for (2,1) (-2,3)
Answer:
the slope is 1/2 :)
Step-by-step explanation:
Answer:
1/3 or 1/-2
Step-by-step explanation:
I NEED AN ANSWER QUICK! What is the surface area of the right trapezoidal prism? To receive credit, you must show the work used to arrive at a final answer. (And PLEASE show work)
Answer:
210 cm²
Step-by-step explanation:
Area of the surface having dimensions 6 cm × 11 cm
[tex]A_1[/tex] = 11 × 6 = 66 cm²
Area of the surface having dimensions 3 cm × 6 cm
[tex]A_2[/tex] = 3 × 6 = 18 cm²
Area of the surface having dimensions 7 cm × 6 cm
[tex]A_3[/tex] = 7 × 6 = 42 cm²
Area of the surface having dimensions 5 cm × 6 cm
[tex]A_4[/tex] = 5 × 6 = 30 cm²
Area of the trapezoidal surface on the top = [tex]\frac{1}{2}(b_1+b_2)h[/tex]
[tex]A_5[/tex] = [tex]\frac{1}{2}(11+7)3[/tex]
= 27 cm²
Area of the trapezoidal base [tex]A_6[/tex] = Area of the surface on the top = 27 cm²
Total surface area = [tex]A_1+A_2+A_3+A_4+A_5+A_6=66+18+42+30+27 + 27[/tex]
= 210 cm²
Therefore, total surface area of the trapezoidal prism = 210 cm²
Which iWhich expressions are equivalent to 7x – 14? Check all that apply. 14 – 7x x – 2 –(14 – 7x) 7(x – 2) 3x – 14 + 4x 2x – 10 + 5x + 4s equivalent to One-fourth x? StartFraction 1 over 8 EndFraction x + StartFraction 1 over 8 EndFraction x StartFraction 1 over 8 EndFraction x + StartFraction 1 over 8 EndFraction StartFraction 1 over 8 EndFraction + StartFraction 1 over 8 EndFraction One-half x + one-half x
Answer:
A
Step-by-step explanation:
suppose the lowest elevation to which the submarine shown has been tested is -490 meters. if it is currently at an elevation of -125 meters, how many meters more can it dive without going below the lowest elevation tested? pls answer quickly
Answer:
365 more meters
Step-by-step explanation:
490-125=365
Which of the following is a solution of z^5 = 1 + √3i?
Help much needed! Thank you
[tex] \sqrt[5]{2} [/tex]
=cos12°+isin12° is your answer
$16 for 4 books. How much would 12 books cost?
Answer:
$48
Step-by-step explanation:
you would first need to find what the cost of 1 book is so
16 divided by 4 is 4
so 1 book is $4
then you would need multiply the cost of one book by 12
so 4 times 12 is 48
so the cost would be $48
Answer:
192
Step-by-step explanation:
times
The height to the top of a flagpole is 18 feet. The flagpole casts a shadow of 20 feet, and a tree casts a shadow of 25 feet. How tall is the tree?
Answer:
22.5 feet
Step-by-step explanation:
set up a proportion, then cross-multiply
18/20 = x/25 or 18/x = 20/25
The height of the tree is 22.5 ft
What are similar triangles?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Given that, the height to the top of a flagpole is 18 feet, the flagpole casts a shadow of 20 feet, and a tree casts a shadow of 25 feet.
Here we need to find the height of the tree,
We will use the concept of the similar triangles to find the same,
Let the height of the tree be x
So. according to the definition of similar triangles,
18 / 20 = x / 25
x = 45 / 2
x = 22.5
Hence, the height of the tree is 22.5 ft
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what are the first 3 composite numbers that are multiples of 4 and greater than 10.¯\_(•_•)_/¯
Answer:
12,16,20
Step-by-step explanation:
First list the multiples of 4
4,8,12,16,20,24,28
We want the ones that are greater than 10
12,16,20
Solve the system of equations below by graphing both equations with a pencil
and paper. What is the solution?
y=-2x + 4
y = x-2
A. (-2,-4)
B. (2,0)
C. (-1,-3)
D. (1,-1)
Answer:
B (2,0)
Step-by-step explanation:
The solution of the system is (2, 0).
What is the system of equations?Simultaneous equations are any one or more equations that can have the same number of unknowns and be solved concurrently. The system of equations is the simultaneous equation.
Given information:
The system of equations,
y = -2x + 4
y = x- 2.
To find the solution to the system of equations, find the intersection points of the equations.
As per the graph given in the attachment below.
So, the intersection point is (2, 0).
Therefore, the point is (2, 0).
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Mike and Joe each receive money for their lunch. Mike receives $100 and spends $3 each day on his lunch. Joe receives $20 and then an additional $5 each day. Joe saves his
money and does not buy lunch. How many days will it take for Mike and Joe to have the same amount of money?
Answer:
10 days
Step-by-step explanation:
Write an equation where both sides equal the same thing, using x as the variable for the amount of days
100-3x=20+5x
100-20=3x+5x
80=8x
x=10
30 students in a class took an algebra test.
If 21 students passed the test, what percent passed?
Answer:
70%
Step-by-step explanation:
21/30 p/100
30/30=2,100/30=70
On Monday, Byron spent $8.00 on lunch to purchase two tacos and one burrito. On Wednesday, he purchased one enchilada, one taco, and one burrito and spent $8.50. On Friday, it cost Byron $10.00 for two enchiladas and two tacos. If t represents the cost of a taco, b represents the cost of a burrito, and e represents the cost of an enchilada, which system of equations can be used to find the cost of each?
Answer:
2t+b=8.00
e+t+b=8.50
2e+2t=10.00
Step-by-step explanation:
A university has 55% student girls and 45% boys. A student is chosen at random to take a test. The test for boys has 25 questions and the one for girls has 30 questions. Let X be the random variable, which represents the number of questions to which the selected student answered correctly. Describe the distribution table for X, and calculate the mean and dispersion.
find sq.root of 19.537 by division method?
Answer:
4.42 is the answer........
Step-by-step explanation:
Im not sure
Which of the following lists is in the correct order from smallest to largest?
-19, -14, 5, 11
-7,-3, 6, 2.
11, -12, 15, -19
-13, -19, -21, -24
Answer:
D the 4th one that starts with-13.
Identify the errors made in finding the inverse of
y = x2 + 12x.
x= y2 + 12x
y2 = x - 12x
y2=-11x
y=-11x, for x > 0
Describe the three errors?
Step-by-step explanation:
y = x2 + 12x.
x= y2 + 12x would also be 12 y
y2 = x - 12x would be -x
y2=-11x
y=[tex]\sqrt{-11x}[/tex], for x > 0 negative square root not possible
Describe the three errors?
The three errors made in finding the inverse of y = x² + 12x are,
⇒ First mistake to write 12y in place of 12x.
⇒ Second mistake to write the expression y² = x - 12x.
⇒ Third mistake because it never possible negative square root for x > 0.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ y = x² + 12x
Here, The process are,
⇒ y = x² + 12x.
⇒ x = y² + 12x
There is first mistake to write 12y in place of 12x.
⇒ y² = x - 12x
There is second mistake.
⇒ y² = -11x
⇒ y = √-11x, for x > 0
There is third mistake because it never possible negative square root for x > 0.
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The ordered pair for the equation x - 2y = 14 is:
0 (0,7).
O (7,2).
0 (0,-7).
Please help fast, thanks.