The amount of money he will have after eight years of savings would be = 15,600.
How to calculate the total amount of money the skateboarder?To calculate the total amount of money the skateboarder will have after the number of giveyears, the formula that should be used would be given below as follows:
Simple interest = Principal×time ×rate /100
Where:
principal = 10,000
Time = 8 years
Rate = 7%
Simple interest = 10,000×8×7/100
= 560000/100
= 5600
The total amount of money the skateboarder will have will be = 10,000+5600 = 15,600
Learn more about simple interest here:
https://brainly.com/question/25793394
#SPJ1
Choose the correct graph of the function
with one of these is a function
a
b
c
d
Answer:
It's B
Step-by-step explanation:
Answer:
B is a functional answer
Solve for x. Leave your answer in simplest radical form.
Answer:
√122
Step-by-step explanation:
first we have to find the missing side with x on the 5 and 9 triangle by using the theorem
a^2+b^2=c^2
9^2+5^2=c^2
81+25=c^2
106=c^2
√106=c
and now we can use this as a side to find x
4^2+√106^2=x^2
16+106=x^2
122=x^2
√122=x
Hopes this helps please mark brainliest
travis buys a new baseball cap for $25. the tax rate is 8%.how much money does travis spend in all on the cap?
Answer: $2
Step-by-step explanation:
2 plus to 4 plus for 8 plus ate
According to the given data the value is 22.
What is meant by addition?Addition is a basic mathematical operation that involves combining two or more numbers to get a total or sum. It is typically denoted by the symbol "+" and can be performed on a variety of numerical values, including whole numbers, decimals, fractions, and even negative numbers.
According to the given information:The value of the addition for 2+4+8+8=22
To know more about addition visit:
https://brainly.com/question/29560851
#SPJ1
jennifer deposited $2500 in her savings account. her account compounds interest continuously at a rate of 6.5%. How long will it take the amount in the account to be $3000
Answer:
2.8 years
Step-by-step explanation:
continuous compounding formula:
A = Pe^rt
3000 = 2500e^.065t
ln(6/5) ÷ .065 ≈ 2.8 years
PLEASE HELP IMMEDIATELY!!!
Identify the terms in the expression. Separate your terms with a comma. −5x−3x+4+9x
Answer:
-5x,-3x,4,9x
Step-by-step explanation:
A term is separated my operational numbers (+, -). Terms can be constants, variables, and coefficients with variables. Since there is 4 operational numbers here, there are 4 terms.
(-10) x 0x ( -15 ) =
What is the length of the diameter of a circle with a radius that is 13 centimeters? cm
Answer:
13 this is the ansewer to this
The final exam grade distribution for all students in the introductory statistics class at a local community college is displayed in the table, with A = 4, B = 3, C = 2, D = 1, and F = 0. Let X represent the grade for a randomly selected student from the class. A 2-column table with 5 rows. Column 1 is labeled grade with entries 4, 3, 2, 1, 0. Column 2 is labeled probability with entries 0.4, 0.32, 0.17, 0.08, 0.03. What is the mean of the distribution? 2 3 2.98 3.50
The mean of the discrete distribution that models this situation is of 2.98.
What is the mean of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
Considering the table, the probability distribution is given by:
P(X = 4) = 0.4.P(X = 3) = 0.32.P(X = 2) = 0.17.P(X = 1) = 0.08.P(X = 0) = 0.03.Hence the mean is given by:
E(X) = 4 x 0.4 + 3 x 0.32 + 2 x 0.17 + 1 x 0.08 + 0 x 0.03 = 2.98.
More can be learned about the mean of a discrete distribution at https://brainly.com/question/27899440
#SPJ1
Which expression can be used to find 45% of 54?
Answer:
54 · 0.45
Step-by-step explanation:
This expression will give you 45% of 54, since 54 will be multiplied by the decimal equivalent to 45%
Answer:
0.45 · 54
Step-by-step explanation:
In math, 45% is equal to 0.45, because percents are out of a hundre. ’of’ is just another way of putting a multiplicative sign, so it would be 0.45 · 54
What is the percent?
32/80 = %/100
Answer: 40% OUT OF 100
2.Ainsley thought there were 25 students in her math class, but there were actually 27 students. What is
her percent error?
Write a linear equation representing the information shown in the table.
A) y = 2x + 10
B) y = –2x + 10
C) y = 10x – 2
D) y = 10x + 2
Answer:
b
Step-by-step explanation:
y=-2x+10
y=-2×0+10 y=10
y=-2×1+10 y=8
y=-2×2+10 y=6
y=-2×3+10 y=4
Answer: B. y = –2x + 10
Step-by-step explanation:
Which statement best describes a strategy for estimating the perimeter of the figure below if the grid squares have
side lengths 1 cm?
Add the lengths of the horizontal and vertical segments, and then subtract 5 because the diagonal side is 4 units
wide and 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then subtract 3 because the diagonal side is 4 units
wide but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 3 because the diagonal side is 4 units wide
but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide
and 2 units tall.
The best statement that describes the strategy for estimating the perimeter of the figure (please see the attached diagram) is the option;
Ad the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
What is an estimate of an amount?An estimate is an approximation of a true value, which is a value that is close to the actual value of the measured quantity.
Please find attached a diagram of the possible figure created with MS Word
The length of the side of the sides of the possible figure in the figure, obtained from a similar question on the internet are;
Base length = 5 units
Height = 4 units
The figure has a diagonal side which is 4 units wide and 2 units tall.
The length of the slant side, found using Pythagorean theorem can be obtained as follows; Length = √(4² + 2²) = 2·√5 ≈ 5
The correct option is therefore to add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
Learn more on Pythagorean theorem here: https://brainly.com/question/25958868
#SPJ1
The original Cars movie made 450 million dollars at the box office. Cars three made 297 million dollars at the box office. What was the percent of change?
Answer:
34% decrease
Step-by-step explanation:
(V1-V2)/V1x100
450-297=153
153/450=0.34
0.34 x 100=34
34% decrease
Sixth grade R. 11 Ratios and rates: complete a table and make a graph 622 The cook in the lunchroom at Elver Middle School, Chef Peter, has a pile of peppers to chop. He chops 3 peppers in 5 minutes. Complete the table. Minutes 5 10 15 20 Peppers chopped 3 Graph the data from the table. 30 27 24 21
If a cook can chop 3 peppers in 5 minutes, then at the same rate, he/she can chop 6 peppers in 10 minutes, 9 in 15 minutes and 12 in 20 minutes, using equivalent ratios.
As per the question statement, a cook can chop 3 peppers in 5 minutes,
And we are required to calculate the number of pepper he/she can chop in 10, 15 and 20 minutes, at the same rate mentioned above.
Given, the cook can chop 3 peppers in 5 minutes, And let us assume that, at the same rate, he/she can chop "x", "y" and "z" peppers in 10, 15 and 20 minutes respectively.
That is, [5: 3 :: 10: x],
Or, [(5/3) = (10/x)]
Or, [x = 6], that is, 6 peppers in 10 minutes,
Similarly, [5: 3 :: 15: x],
Or, [(5/3) = (15/x)]
Or, [x = 9], that is, 9 peppers in 15 minutes,
And, [5: 3 :: 20: x],
Or, [(5/3) = (20/x)]
Or, [x = 12], that is, 12 peppers in 20 minutes.
Ratios: In mathematics, a ratio is a comparison of two or more numbers, showing how many times one number contains another.To learn more Rates and Ratios, click on the link below.
https://brainly.com/question/20195178
#SPJ9
Answer:
If a cook can chop 3 peppers in 5 minutes, then at the same rate, he/she can chop 6 peppers in 10 minutes, 9 in 15 minutes and 12 in 20 minutes, using equivalent ratios.
Step-by-step explanation:
The quotient of twenty and a number, decreased by 4, is equal to zero
The equation associated with the quotient of twenty and a number, decreased by 4, is equal to zero is 20/x - 4 = 0 and that number will be 5.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's say that number is x,
Quotients of 20 and x will be given as 20/x
20/x - 4 = 0
20/x = 4
x = 20/4 = 5
Hence"The equation associated with the quotient of twenty and a number, decreased by 4, is equal to zero is 20/x - 4 = 0 and that number will be 5".
For more about the equation,
https://brainly.com/question/10413253
#SPJ1
CAN SOMEONE HELP WITH THIS QUESTION?
The greater solution of x is x = -12 + 2√3 ÷ 3, and the lesser solution is x = -12 ± 2√3 ÷ 3.
What is differentiation?Apart from integration, differentiation is one of the two key ideas in calculus. A technique for determining a function's derivative is differentiation. Mathematicians use a process called differentiation to determine a function's instantaneous rate of change based on one of its variables. The most typical illustration is velocity, which is the rate at which a distance changes in relation to time. Finding an antiderivative is the opposite of differentiation.
The given function \(f(x) = \frac{x}{x + 4}\).
The differentiation of the function is:
\(f'(x) = \frac{g(x)f'(x) - f(x)g'(x)}{g(x)^2} \\\\f'(x) = \frac{(x+4)(1) - x(1)}{(x+1)^2}\\\\f'(x) = \frac{x + 4 - x}{(x+4)^2} \\\\f'(x) = \frac{4}{(x+4)^2}\)
The value of f'(x) = 3:
Thus,
3 = 4/ (x + 4)^2
3(x + 4)^2 = 4
3(x² + 8x + 16) = 4
3x² + 24x + 48 - 4 = 0
3x² + 24x + 44= 0
Use the quadratic formula to find the roots of the equation:
x = -12 ± 2√3 ÷ 3
Hence, the greater solution of x is x = -12 + 2√3 ÷ 3, and the lesser solution is x = -12 ± 2√3 ÷ 3.
Learn more about differentiation here:
https://brainly.com/question/24898810
#SPJ1
Evaluate the expression 6(x) when x equals 3.
Pls... I need help.
Answer:
18
Step-by-step explanation:
substitute x = 3 into the expression
6x = 6(3) = 6 × 3 = 18
The graph shows a system of equations:
Y= -x - 2 y = 2x - 5 what is the solution (-1 , 3) (1 , -3) (1 , 3 ) ( -1, -3)
Please help me. Please dont answer if you dont know. i will give brainliest. thankyou, have a great day! :)
Answer:
1. 3,077.2 cm³
2. 1,808.6 ft³
3. 602.9 in.³
4. 230.8 yd³
5. 191.8 m³
6. 70.3 in.³
Step-by-step explanation:
Recall: Volume of cylinder = πr²h
1. r = 7 cm
h = 20 cm
π = 3.14
Volume = 3.14*7²*20 = 3,077.2 cm³
2. r = 8 ft
h = 9 ft
π = 3.14
Volume = 3.14*8²*9 ≈ 1,808.6 ft³
3. r = ½(8) = 4 in.
h = 12 in.
π = 3.14
Volume = 3.14*4²*12 ≈ 602.9 in.³
4. r = 3½ yd = 3.5 yd
h = 6 yd
π = 3.14
Volume = 3.14*3.5²*6 ≈ 230.8 yd³
5. r = ½(5.3) = 2.65 m
h = 8.7 m
π = 3.14
Volume = 3.14*2.65²*8.7 ≈ 191.8 m³
6. r = 1.9 in.
h = 6.2 in.
π = 3.14
Volume = 3.14*1.9²*6.2 ≈ 70.3 in.³
let x and y be i.i.d. unif(0, 1). (a) compute the covariance of x y and x y . (b) are x y and x y independent studysoup
If x and y be i.i.d. unif(0, 1), then the covariance of x + y and x - y is zero
Here x and y be i.i.d. unif(0, 1)
The i.i.d stands for independent and identically distributed
unif means that the uniformly distributed
Here x and y are i.i.d unif (0,1)
The covariance is defined as the relationship between the two random variables . Therefore, variance of one variable is equal to the change in another variable
Here we have to find the covariance of x + y and x - y
According to the properties of covariance
Cov(x+ y, x - y) = Cov (x, x) + Cov(y, x) - Cov(x, y) - Cov(y, y) = 0
Because Cov(x, x) = Cov (y, y)
Cov(y, x) = Cov(x, y)
Therefore, the covariance of x+y and x - y is 0
Learn more about covariance here
brainly.com/question/17137919
#SPJ4
please help me on this one would be great help.
Answer:
60
Step-by-step explanation:
The volume of this rectangular prism is 160 cubic yards. What is the surface area?
10 yd
surface area =
Submit
0
4 yd
square yards
4
Answer: The surface area of the rectangular prism is approximately 4 square yards.
Step-by-step explanation: Given that the volume of the rectangular prism is 160 cubic yards, we can find the dimensions of the prism using the formula:
V = lwh
where V is the volume, l is the length, w is the width, and h is the height.
So, we have:
160 = lwh
Now, we need to find two other measurements in order to calculate the surface area of the rectangular prism. However, we do not have enough information to find all three dimensions. Therefore, we will assume one dimension and find the other two.
Let's assume that the height of the rectangular prism is 10 yards. Then, we can rearrange the formula for the volume to solve for the product of the length and width:
lw = V/h = 160/10 = 16
Now, we have two equations:
lw = 16
wh = 160/10 = 16
Solving for w in the first equation, we get:
w = 16/l
Substituting this expression for w in the second equation, we get:
l(16/l)h = 16
Simplifying, we get:
h = 1
Therefore, the dimensions of the rectangular prism are:
length = l
width = 16/l
height = 10
Now, we can calculate the surface area of the rectangular prism using the formula:
SA = 2lw + 2lh + 2wh
Substituting the values we found, we get:
SA = 2(l(16/l)) + 2(l(10)) + 2((16/l)(10))
SA = 32/l + 20l + 160/l
To find the minimum value of this expression, we can take its derivative with respect to l and set it equal to zero:
dSA/dl = -32/l^2 + 20 + (-160/l^2)
0 = -32/l^2 + 20 - 160/l^2
52/l^2 = 20
l^2 = 52/20
l ≈ 1.44
Substituting this value of l back into the expression for SA, we get:
SA ≈ 4 square yards
Therefore, the surface area of the rectangular prism is approximately 4 square yards.
Given that f(x) = 2x + 5 and g(x) = x − 7, solve for f(g(x)) when x = −3
Answer:
-15
Step-by-step explanation:
start from the inside and go out.
So first plug in -3 into g(x)
g(-3) = -3 - 7 = -10
then plug in -10 into f(x)
f(-10) = 2(-10) + 5 = -15
so f(g(x)) = -15
Answer:
The answer is - 15Step-by-step explanation:
f(x) = 2x + 5
g(x) = x − 7
To find f(g(x)) substitute g(x) into f(x) that's replace every x in f(x) by g(x)
That's
f(g(x)) = 2(x - 7) + 5
= 2x - 14 + 5
f(g(x)) = 2x - 9
When x = - 3
Substitute - 3 into f(g(x))
That's
f(g(3)) = 2(-3) - 9 = - 6 - 9 = - 15Hope this helps you
Evaluate this expression.
3^-2
Answer:Exact Form: one over 9
1
9
Step-by-step explanation: ,..
Consider the algebraic expression √ 7 x 18 + 12.1 x 15 + π 4 x 6 + 1 9 . What is the degree of this polynomial? Identify the leading coefficient. Identify the leading term.
The degree of the provided polynomial is 18, and the leading term is √7.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have given an expression:
\(= \rm \sqrt{7}x ^{18} + 12.1x^{ 15} + \pi 4 x^ 6 + 1 9\)
As we can see in the expression the greatest degree is 18.
So the degree of the polynomial is 18
And the coefficient of the variable which has a height degree is the leading term.
The leading term = √7
Thus, the degree of the provided polynomial is 18, and the leading term is √7.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ1
Eva made sand art bottles to sell at her school's craft fair. First, she bought 4 kilograms of sand in different colors. Then, she filled as many 100-gram bottles as she could. How many sand art bottles did Eva make?
Answer: Eva made 40 sand art bottles
Step-by-step explanation:
1 kilogram =1000 grams
she bought 4000 grams
4000/100 =40
she filled 40 bottles