Final answer:
When Mai turns 65, the value of her individual Retirement Account will be $61,917.28.
Explanation:
To calculate the future value of an investment with compound interest, we can use the formula:
FV = P(1+r)^n
Where FV is the future value, P is the principal amount (initial investment), r is the interest rate (as a decimal), and n is the number of compounding periods.
In this case, Mai invested $2000 and the interest rate is 10% compounded annually.
So, when Mai turns 65, the number of compounding periods would be 65 - 21 = 44 years.
Plugging in the values into the formula:
FV = $2000(1+0.10)^44 = $61,917.28
Therefore, the value of Mai's individual Retirement Account when she turns 65 will be $61,917.28.
Your math professor gives you a set of 10 problems and tells you that the final exam will consist of a random selection of 5 of them. If you figured out how to do 7 of the problems, what is the probability that you answer correctly (a) all 5 problems (b) at least 4 of the problems
Answer:
hi
Step-by-step explanation:
sue your math professor that professor is evil
What is a equation using (h) hours and (c) cookies?
Answer:
There are 12 cookies (c). It takes 2 hours (h) to bake 1 cookie. How long will it take to bake 12 cookies?
Compare and contrast pounds and ounces
Out of the two units, ounce is smaller than pound and both have traditionally been used for different purposes. Whereas ounces are used to measure precious metals and spices as they are required in smaller quantities, pounds are used to measure fruits and vegetables, and interestingly, mass of people also.
How do you simplify numbers with exponents
Solve the system of equations 7x - y = -13 and -3x - y = -3 by combining the equations
Answer:
The answer to your question is (-1, 6)
Step-by-step explanation:
Data
7x - y = -13 Equation l
-3x - y = -3 Equation ll
-Solve equation l for y
y = 7x + 13 Equation lll
-Substitute equation lll in equation ll
-3x - (7x + 13) = -3
-Solve for x
-3x - 7x - 13 = -3
-10x = 13 - 3
-10x = 10
x = 10/-10
x = -1
-Substitute x in equation lll
y = 7(-1) + 13
y = -7 + 13
y = 6
Find the area of the shaded region. Round to the nearest hundredth where necessary. Remember: you are subtracting the areas.
Given:
The base of the given figure = 23.8 ft
Height of the parallelogram = 15 ft
To find the area of the shaded region.
Formula
[tex]A = A_{1} -A_{2}[/tex]where, [tex]A[/tex] be the area of the shaded region
[tex]A_{1}[/tex] be the area of the parallelogram.
[tex]A_{2}[/tex] be the area of the triangular part.
The area of triangle [tex]A_{2} = \frac{1}{2} bh[/tex] where, b be the base and h be the height.The area of the parallelogram [tex]A_{1} =( base)(height)[/tex]By Pythagoras theorem, [tex]hypotenuse^{2} = base^{2}+height^{2}[/tex]Now,
Putting, Base = 21, Hypotenuse = 23.8 we get,
[tex]Height^{2} = 23.8^{2}-21^{2}[/tex]
or, [tex]Height = \sqrt{566.44-441}[/tex]
or, [tex]Height = 11.2[/tex]
Therefore,
Area of the parallelogram [tex]A_{1} = (23.8)(15)[/tex] sq ft = 357 sq ft
Area of the triangle [tex]A_{2}[/tex] = [tex]\frac{1}{2}(11.2)(21)[/tex] sq ft = 117.6 sq ft
So,
The area of the shaded part = (357-117.6) sq ft = 239.4 sq ft
Hence,
The area of the shaded part is 239.4 sq ft.
Rashid solved a fraction division problem using the rule "multiply by the reciprocal." His work is shown below. Three-fourths divided by 9. Three-fourths times StartFraction 1 Over 9 EndFraction = StartFraction 3 Over 36 EndFraction or StartFraction 1 Over 12 EndFraction
Answer:
A. Rashid solved the problem correctly.
Step-by-step explanation:
The missing option is given as:
Which is the most accurate description of Rashid’s work?
A. Rashid solved the problem correctly.
B. Rashid multiplied the dividend by the divisor instead of finding the reciprocal.
C. Rashid multiplied the denominators instead of finding a common denominator.
D. Rashid multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.
Rashid solve the problem correctly as he gave the answer in lowest form.
[tex]\frac{3}{4}[/tex] ÷ [tex]9[/tex]
[tex]\frac{3}{4} *\frac{1}{9} \\\frac{3 * 1}{4 * 9} \\\frac{3}{36} =\frac{1}{12}[/tex]
So, Rashid final answer is correct 3/36 or 1/12
Answer:
Rashid Missed This Step: [tex]\dfrac{3}{4 X 9}[/tex]
Step-by-step explanation:
Rashid solved a fraction division problem using the rule "multiply by the reciprocal."
[tex]\dfrac{3}{4} \div 9\\ =\dfrac{3}{4} X \dfrac{1}{9}\\=\dfrac{3}{36}\\=\dfrac{1}{12}[/tex]
Rashid misses a step which will now be shown below:
[tex]\dfrac{3}{4} \div 9 =\dfrac{3}{4} X \dfrac{1}{9}\\=\dfrac{3}{4 X 9}\\=\dfrac{3}{36}\\=\dfrac{1}{12}[/tex]
Scores of two school basketball teams are recorded. The mean of Team A is 68. The mean of Team B is 67. What conclusion can you derive from the random samples?
The conclusions that can be drawn are 3, two of a direct type and the other of an indirect type.
The direct ones are the values. Team A has an average of 68 points per game, which means that it has a good point average and, in the same way, team B, which has an average of 67, which is still a good point average per game.
The hint is the comparison of both teams, and that is that team A is one point above team B, which in terms of points per game makes them better.
5x - 2y = 30 if 8 = x
Answer:
Y=5
Step-by-step explanation:
If x = 8 then y = 5
Step-by-step explanation:Plug x into the equation and solve
5x - 2y = 30 <- Rewrite
5(8) - 2y = 30 <- Plug x in
40 - 2y = 30 <- Simplify
-40 -40 <- Get y alone
-2y = -10 <- Simplify
y = 5 <- Divide both sides by -2 to get y
Mr. Patel decided to challenge his Algebra I students by asking them to describe the effect 2f | 1x would have on the
function f(x) = 2. Use your understanding of horizontal and vertical stretches to explain the result.
Answer:
A: The parabola would stretch both vertically and horizontally by a factor of 2.
Answer:
The parabola would stretch both vertically and horizontally by a factor of 2.
Step-by-step explanation:
I just took the quiz on Edg.
Martin has collected 18 U.S. stamps and 12 international stamps. He wants to display them in identical groups of U.S. and international stamps, with no stamps left over. What is the greatest number of groups Martin can display them in?
If 30% of a number is 45, what is 4/5 of the number?
Answer: 4/5 of 45 is 36
Step-by-step explanation: If you were to divide 45 by 5 you would get 9. 9 is 1/5 of 45 so if you multiplied it by 4 you would 4/5 of 45 which is 36.
The ( 4/5 )th of the number is 120 and the equation is ( 30 / 100 ) N = 45 , where N is the number and N = 150
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
Let the number be represented as N
A = 30% of a number is 45
Substituting the values in the equation , we get
( 30/100 ) N = 45 be equation (1)
Multiply by 100 on both sides of the equation , we get
30 N = 4500
Divide by 30 on both sides of the equation , we get
N = 4500 / 30
N = 150
Therefore , the value of N is 150
Now , ( 4/5 )th of the number be calculated as
Let the ( 4/5 ) of the number be = B
So , the equation will be
B = ( 4/5 ) x 150
B = 4 x 30
B = 120
Hence , the number is 150 and ( 4/5 ) th of the number is 120
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How many batches of cookies can you make if you have 8 cups of flour and recipe calls for 3/4 per batch?
Answer:
10 batches i think, sorry if im wrong
Step-by-step explanation:
To determine the number of batches of cookies you can make with 8 cups of flour and a recipe that calls for 3/4 cup per batch, you would divide 8 by 3/4.
Explanation:To determine the number of batches of cookies you can make with 8 cups of flour and a recipe that calls for 3/4 cup per batch, you need to divide the total amount of flour by the required amount for each batch. So, you would divide 8 cups by 3/4 cup:
8 cups ÷ 3/4 cup = 8 ÷ 3/4 = 10 2/3 batches of cookies
Therefore, you can make approximately 10 and 2/3 batches of cookies.
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I need to know the lengths of MN, NP, and PM
Answer:
MN = 12 units
NP = 16 units
PM = 20 units
Step-by-step explanation:
You can find MN and NP by counting on the graph. To find PM you will need to use the formula a^2 + b^2 = c^2 ( ^ stands for exponent)
MN and NP will be a and b.
Example: 12^2 + 16^2 = c^2
Simplify.
Example:
144 + 256 = c^2
144 + 256 = 400
Then find the square root of 400 which is 20.
To check your work put all of the sides into the formula and it should be true.
There are 16 tables set up for a banquet, of which 4 have red tablecloths.
What is the probability that a randomly selected table will have a red tablecloth?
Write your answer as a fraction or whole number.
The probability that a randomly selected table will have a red tablecloth is 1/4, since there are 4 red tablecloths out of 16 tables.
Explanation:The question asks for the probability that a randomly selected table will have a red tablecloth given that there are 16 tables and 4 have red tablecloths. To find the probability, we use the formula:
Probability (P) of choosing a red tablecloth = (Number of red tablecloths) / (Total number of tables)
Substituting the given numbers:
P(red tablecloth) = 4 / 16 = 1 / 4
Therefore, the probability is 1/4 or 0.25 when expressed as a decimal.
It is important to round answers to relative frequency and probability problems to four decimal places when required, but in this case, the fraction 1/4 is already as simple as it can be.
Mason is having new tires put on his wheel chair. The tires are regularly 56, but this weekend, they are on sale for 25% off. Mason wants to know the sale price for the tires
Answer:
the tires are 42 dolars
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
25% × 56 =
(25 ÷ 100) × 56 =
(25 × 56) ÷ 100 =
1,400 ÷ 100 =
14
Jill needs to cut a piece of string into 20 smaller pieces. How many times will she need to cut the string?
Answer:
She need to cut the string 19 times
Step-by-step explanation:
_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
19 cut.
Jill needs to make 19 cuts in the piece of string to have 20 smaller pieces, as each cut adds one additional piece and the first piece does not require a cut.
To determine how many times Jill needs to cut the string to get 20 smaller pieces, we need to understand the relation between cuts and pieces. Imagine having a single piece of string. Once you make a single cut, you now have two pieces.
Therefore, the number of cuts is always one less than the number of pieces you want to have because the first piece does not require a cut.
If Jill wants 20 pieces of string, she will need to make 19 cuts. This is because every cut adds one additional piece to the total count. After the first cut, there are two pieces. After the second cut, assuming she cuts one of those two pieces, there are three pieces, and so on. When she makes the nineteenth cut, she will have twenty pieces.
A plane has an airspeed of 134 km divided by h. It is flying on a bearing of 78 degrees while there is a 21 km divided by h wind out of the northeast (bearing 225 degrees). What are the ground speed and the bearing of the plane?
The ground speed of the plane is approximately 116.88 km/h, and its bearing is about 83.44°, given an airspeed of 134 km/h on a 78° bearing and a 21 km/h wind from 225°.
The plane's ground speed is approximately 116.88 km/h, and its bearing is roughly 83.44°. This calculation incorporates the plane's airspeed of 134 km/h at a bearing of 78° and a wind speed of 21 km/h from a bearing of 225°.
First, we decompose the velocities into horizontal and vertical components. For the plane's airspeed, the horizontal component is about 27.81 km/h, and the vertical component is around 131.04 km/h. Similarly, for the wind, the horizontal and vertical components are approximately -14.85 km/h each. By adding the horizontal components of the airspeed and wind, we get 12.96 km/h. Likewise, adding the vertical components yields 116.19 km/h.
Using these components, we calculate the resultant velocity vector's magnitude, approximately 116.88 km/h, using the Pythagorean theorem. The direction, or bearing, is computed to be approximately 83.44° using the inverse tangent function.
Therefore, the plane moves at a speed of about 116.88 km/h, slightly northeast of east, due to the combined effect of its airspeed and the wind.
find the area of the shape shown below
Answer:
63
Step-by-step explanation:
3x3= 9x7= 63
A ball is hit into the air with an initial velocity of 100 ft/s. Its height, h(t), after t seconds is given by the function h(t) = -16t² + 100t + 5. What is the ball's maximum height?
at maximum. dt/dh=0
if you differentiate you will get
-32t=-100
t=3.125
3x + 10 = 22
Solve for x
Answer:
x=4
Step-by-step explanation:
Step 1: Subtract 10 from both sides.
3x+10−10=22−10
3x=12
Step 2: Divide both sides by 3.
3x/3=12/3
x=4
if i can get brainliest that would be great
simple problem! will mark brainliest!
Answer:
r=1
Step-by-step explanation:
Because the table has the same input and output, the constant of proportionality is 1
Please help !! Timed !! *****
Answer:
The answer to your question is 6x
Step-by-step explanation:
Data
f(x) = 3x
g(x) = 2x
(g°f)(x) = ?
Process
1.- To find (g°f)(x) substitute the value of f(x) in g(x) and simplify
-Substitution
(g°f)(x) = 2(3x)
-Simplification
(g°f)(x) = 6x
The third choice is correct
A study was conducted looking at the association between the number of polyps in the colon and mean grams of fiber consumed per day based on a standard food frequency questionnaire. The Pearson correlation coefficient was 0.9 with a p-value of 0.003 and the Spearman correlation coefficient was 0.28 with a p-value of 0.049. Which form of correlation would be more appropriate to report and why?
Answer:
C) The Spearman correlation results should be reported because at least one of the variables does not meet the distribution assumption required to use Pearson correlation.
Explanation:
The following multiple choice responses are provided to complete the question:
A) The Pearson correlation results should be reported because it shows a stronger correlation with a smaller p-value (more significant).
B) The Pearson correlation results should be reported because the two variables are normally distributed.
C) The Spearman correlation results should be reported because at least one of the variables does not meet the distribution assumption required to use Pearson correlation.
D) The Spearman correlation results should be reported because the p-value is closer to 0.0556.
Further Explanation:
A count variable is discrete because it consists of non-negative integers. The number of polyps variable is therefore a count variable and will most likely not be normally distributed. Normality of variables is one of the assumptions required to use Pearson correlation, however, Spearman's correlation does not rest upon an assumption of normality. Therefore, the Spearman correlation would be more appropriate to report because at least one of the variables does not meet the distribution assumption required to use Pearson correlation.
Find the solutions of the quadratic equation 14x^2+9x+10=0
Answer:
No real Solution
Step-by-step explanation:
Plug a=14, b=9, and c=10 into the quadratic formula, and you'll get
[tex]x=(-(9)±\sqrt{-479})/ 28[/tex]
since -479 is negative, you'll get an imaginary number.
True or False
Interior Angle - Angle formed by 3 adjacent sides inside the polygon.
Select the appropriate response:
True
False
Answer:
False.
Step-by-step explanation:
it is an angle formed by 2 adjacent sides inside the polygon.
Answer:
False
Step-by-step explanation:
Interior angle is formed by 2 adjacent sides
Which simplified fraction is equal to 0.1ModifyingAbove 7 with bar?
StartFraction 9 Over 17 EndFraction
StartFraction 8 Over 45 EndFraction
StartFraction 17 Over 9 EndFraction
StartFraction 16 Over 90 EndFraction
Answer:
8/45
Step-by-step explanation:
The simplified fraction is equal to 0.1ModifyingAbove 7 with bar is StartFraction 17 Over 9 EndFraction, the correct option is C.
How to interpret the fraction?Suppose the fraction is proper (the numerator is smaller than the denominator).
Let it be
[tex]\dfrac{a}{b}[/tex]
Then, we can interpret it as:
[tex]\dfrac{a}{b}[/tex] = a parts out of b parts of a thing.
We are given that;
The fraction; 0.1ModifyingAbove 7 with bar
Now,
The number 0.1 is a repeating decimal, which means it has a repeating pattern of digits after the decimal point. To convert this decimal to a fraction, we can use the fact that:
0.1= 0.111= 1/9
So the simplified fraction that is equal to 0.1 is;
StartFraction 1 Over 9 EndFraction
StartFraction 9 Over 17 EndFraction can't be simplified further.
StartFraction 8 Over 45 EndFraction can be simplified to StartFraction 16 Over 90 EndFraction.
StartFraction 17 Over 9 EndFraction can't be simplified further.
StartFraction 16 Over 90 EndFraction can be simplified to StartFraction 8 Over 45 EndFraction.
Therefore, by fraction the answer will be StartFraction 17 Over 9 EndFraction.
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What is the relative minimum of the function?
Enter your answer in the box.
Answer:
-5
Step-by-step explanation:
The minimum is at the vertex. This is at (1, -5)
The minimum value is -5
STVZ~JHGF. Find the value of X
Tony needs 16-inch pieces of gold chain to make each of 3 necklaces. He has a piece of chain that is 4 1/2 feet long. How much chain will he have left after making the necklaces?
Final answer:
After converting the chain length from feet to inches, Tony will have 6 inches of gold chain left after making three necklaces, each requiring 16-inch pieces.
Explanation:
Tony needs to determine how much gold chain he will have left after making three necklaces, each requiring 16-inch pieces. First, we need to convert the total chain length from feet to inches. Since 1 foot equals 12 inches, 4.5 feet would be 4.5 × 12 inches, which equals 54 inches. Now, we can calculate the total length of chain needed for the necklaces by multiplying the length of one necklace (16 inches) by the number of necklaces (3), which is 16 × 3 = 48 inches.
Subtracting the total chain used for the necklaces (48 inches) from the total length of chain available (54 inches) gives us the remaining length of chain. So, 54 inches - 48 inches = 6 inches of chain leftover after making the three necklaces.