the compound interest formula a=p(1+r/n)^nt where p is the initial amount invested, r is the interest as a decimal, n is the number of times compound annually, the the number of years. Determine the value of the account if the initial investment is $8,000 compounded monthly at a rate of 6% after 10 years.
Answer:
Option (D)
Step-by-step explanation:
Formula to calculate the final amount after 't' years is,
A = [tex]P(1+\frac{r}{n})^{nt}[/tex]
Here P = Initial amount
r = rate of interest
n = number of times compounding done
t = duration of investment
For A = $8000
r = 0.06
t = 10 years
n = 12 (compounded monthly in a year)
Therefore, final amount = [tex]8000(1+\frac{0.06}{12})^{12\times 10}[/tex]
= [tex]8000(1+0.005)^{120}[/tex]
= [tex]8000(1.005)^{120}[/tex]
= 8000(1.8194)
= $14555.17
Therefore, Option (D) will be the answer.
Answer:
the answer is d
Step-by-step explanation:
$14,555.17
I NEED HELP!!! ILL MARK U BRAINLIEST AND GIVE YOU 30 PIONTS
Which statement about the lines below is true?
4y = −16 and 3x = 27
Select all that apply.
A. Line 4y = −16 is horizontal.
B. Line 3x = 27 is vertical.
C. For both lines, all points on the line have an x- and a y-coordinate.
D. For either line, one of the coordinates of all the points is always the same value. ITS MULTIPLE CHOICE
Answer:
The statements which are true:
A. Line 4y = −16 is horizontal.
B. Line 3x = 27 is vertical.
D. For either line, one of the coordinates of all the points is always the same value.
Find the lateral and total surface area for the cone. If necessary, round to the nearest tenth and leave the
answer in terms of .
23 cm
22.8 cm
The lateral area is
It cm?
The surface area is
a cm?
9514 1404 393
Answer:
262.2π cm²392.16π cm²Step-by-step explanation:
The lateral surface area is the product of half the circumference, and the slant height:
LA = πrh = π(11.4 cm)(23 cm) = 262.2π cm²
The total surface area adds the area of the base to that:
A = πr² +LA = π(11.4 cm)² +262.2π cm² = (129.96 +262.2)π cm²
A = 392.16π cm²
The graph of y=f(x) is shown below. Determine the value of x when f(x)=1?
Answer:
Answr is: -2
Step-by-step explanation:
On the coordinate grid, the value of x when f(x)=1 is A
How to determine the value of x?The graph is given as:
y = f(x)
When f(x) = 1, we have:
y = 1
On the coordinate grid,
When y = 1, the value of x is 3
Also, the point A is located at (3,1)
Hence, the value of x when f(x)=1 is A
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During the summer months, science center tickets are 3 for $36.75 and zoo tickets are 4 for $51.How much will a group of 12 students save by choosing the science center?
Answer: They will save $6
Step-by-step explanation:
Science Center
There are 12 students and tickets are 3 for $36.75. There are 4 groups of 3 students, so we can find the price for the science center by multiplication:
4 x 36.75 = 147
Zoo
There are 12 students and tickets are 4 for $51. There are 3 groups of 4 students, so we can find the price for the zoo by multiplying, too:
3 x 51 = 153
To find out how much a group of 12 will save by choosing the science center we subtract
153 - 147 = 6
They will save $6
Which choices are equivalent to the quotient below? Check all that apply square root 75/15
Answers & Explanations:
The answer to A. is incorrect.
The answer to B. is correct.
The answer to C. is incorrect.
The answer to D. is incorrect.
The answer to E. is correct.
The answer to F. is correct.
hope this helps :)
The expression √(75/15) is equivalent to √(15/3), √5, and √(25/5). Then the correct options are B, E, and F.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
The expression is given below.
⇒ √(75/15)
Simplify the expression, we have
⇒ √(15/3)
⇒ √5
Or √(25/5)
Then the correct options are B, E, and F.
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help find the missing side length in the image below
56
20/35 = 35/x
20x = 32(35)
Divide both sides by 20 to solve for x
X = 1120/20
X = 56
The missing side length of the given image is 56 so x = 56 will be the correct answer.
What is a line segment?A line section that can connect two places is referred to as a segment.
Lines are very useful and common in geometry we daily use them.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
In other words, the line is a straight figure which has zero width and infinite length but if we take a segment then it is called a line segment which will be finite.
Given in the image 3 lines are parallel and intersect two lines that are randomly inclined.
Let's say the missing length is x
By geometrical similarity rule
x/32 = 35/20
x = 32 × 35/20
x = 56 hence 56 will be the missing side length of the given figure.
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Can y’all help give me the answer
Which expressions are equivalent to the expression 4a – 6b + 3c?
a + 3(a − 2b + 3c)
4a + 3(2b + c)
2(2a − 3b + c) + c
2(2a − 3b) + 3c
Answer:
Third one: 2(2a-3b+c)+c
Step-by-step explanation:
Hope this helped:)
A sketch of y= ax² + bx + c is shown
Answer:
Positive, Negative, One negative and one positive
Step-by-step explanation:
a refers to whether the parabola opens upwards/downwards
c refers to y-inercept
solutions to the curve is dependent on the x intercepts
This question demands knowledge on quadratic graphs. If you would like to venture further, you can check out my Instagram page (learntionary). I posts math tips and notes. Thanks!
The true statements are:
(a) is positive(c) is negativeone negative and one positive.The equation is given as:
[tex]\mathbf{y =ax^2 + bx + c}[/tex]
The graph is an illustration of a parabola.
When a parabola opens up, then the value of (a) is positive
c represents the y-intercept i.e. the point where the graph crosses the y-axis.
From the sketch, the graph cross the y-axis below the origin.
So, the value of (c) is negative
The graph crosses the x-axis, at either sides of the origin.
So, the solutions are one negative and one positive.
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Is -59+8 positive or negative
Answer:
Negative
Step-by-step explanation:
It's negative because there are 59 negatives and 8 positives. Since there are more negatives the sum is negative.
-59+8 = -51
Hope this helps ya!
Brody earns $11 for each hour of babysitting. How many hours in all will it take Brody to
earn a total of $33?
Answer:
3 hours
Step-by-step explanation:
11 / 33 =3
11 x 3 = $33
Answer:
3
Step-by-step explanation:
If brody earns $11 for each hour, and ends up with a total of $33 dollars, use the 11x=33. x= the amount of hours he worked. Move the 11 over to the other side by dividing each side by 11. Then 33 divided by 11 is 3 so x=3.
Please I'm so bad at math-
And explain it to me so I understand it next time. :)
Answer:
i dont even know chife
Step-by-step explanation:
How do you subtract fracions and mixed fractions? Write your answer on
your paper
Answer:
when u subtract fractions u have to make sure they have a common denominator so u can subtract evenly so say I have 2/5 - 4/6 i have to make a common denominator of 30 so the 2/5 would turn to 12/30 and the 4/6 would be 20/30 then you do 20-12 to get 8/30 and with mixed fractions u do the same exept multiply the denominator by the whole then add the neumorator to the number u just got and add them together and then subtract.
hope this helped :)
Step-by-step explanation:
Simplify, using distributive property and then combing like terms.
4m-3(2m+1)
Step-by-step explanation:
4m−3(2m+1)
Distribute:
=4m+(−3)(2m)+(−3)(1)
=4m+−6m+−3
Combine Like Terms:
=4m+−6m+−3
=(4m+−6m)+(−3)
=−2m+−3
Answer:
=−2m−3
Answer:
-2m-3
Step-by-step explanation:
leave 4m alone in the beginning
distribute -3 to 2m and 1
-3(2m+1)
(-6m-3). Then put the 4m behind the 6
4m-6m-3(subtract like terms)
-2m-3 (final answer)
John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes. Complete the table
Approximate Value=100$
Exact Value= 75$
Error = 25$
Absolute Error= 25$
Ratio= e
Percent Error= f
What is the ratio?
e =________
A. 25/100
B. 25/75
C. 75/100
D. -25/75
What is the percent error?
f =_______
A. 33%
B. 25%
C. 75%
D. 83%
Answer:
e= 25/75
f= 33%
Step-by-step explanation:
I got it right!!
Answer:
e = 25/75 ?
f = 33%
Step-by-step explanation:
i did this and i think i got right, but let me know if its wrong :)
Describe how
factoring can help you find the x-intercepts
of the graph of the quadratic function
y=x2 - 4x + 3.
The x-intercepts of the graph of the quadratic function is 1, 3.
What are quadratic equations?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0
Now the quadratic function is,
y = x² - 4x + 3
Now for x-intercepts, y = 0.
⇒ x² - 4x + 3 = 0
Factoring we get,
⇒ x² - 3x - x + 3 = 0
⇒ x(x - 3) - 1(x - 1) = 0
⇒ (x - 1) (x - 3) = 0
Thus we get,
x = 1, 3
this is the required x-intercepts of the graph of the quadratic function.
Thus, the x-intercepts of the graph of the quadratic function is 1, 3.
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I WILL MARK BRAINLIEST!!! !!
(picture included with ONE question ^^^^^) only part a
Answer:
A. y = 1.5m + 7
B. at 7 months the baby will weigh 17.5 pounds
C. Since the baby is born weighing 7 pounds, at 0 months he will weigh 7 pounds. This tells us that the y-intercept will be seven. And since the baby is gaining 1.5 pounds every month, this means that the slope will be 1.5 and m will be the x of our y = mx + b equation. For part B, we simply plug in 7 to m and solve by multiplying 1.5 and 7 to get 10.5, then adding 7 to get 17.5.
What is the greatest common fraction of 9 12 and 6
Answer:
Step-by-step explanation:
GCF of 9,12 and 6 is 3. 3 can go into both evenly
Answer:
the answer is 3.
Step-by-step explanation:
3"2=6
3*3=9
3*4=12
hope this helps and feel free to give brainiest
Please PLS PLS PLS PLS Answer ASAP This Is due in a few min and its a test PLEASE will give brainliest if right!! :)
Answer:
-13
Step-by-step explanation:
What is the quotient of 154, 504 divided by 28 ?
Answer:
5518
Step-by-step explanation:
The quotient of 154, 504 divided by 28 is 5518 after applying the arithmetic operation, the answer is 5518.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.
It is given that:
The numbers are 154,504 and 28
From the question:
= 154,504 ÷ 28
Or
= 154,504/28
After applying the arithmetic operation:
= 5518
Thus, the quotient of 154, 504 divided by 28 is 5518 after applying the arithmetic operation, the answer is 5518.
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Why does it make sense to describe an equation that has infinitely many solutions as an identity?
Because for any value of the variable, the equation is true and it follows that there are infinitely many solutions ( values ) that satisfy the equation.
What is infinite solution of any variable?
In any equations, any value for the variable makes the equation true or we can say that an equation has infinitely many solutions if you try to solve the equation and get a variable or a number equal to itself.
Now,
For any value of the variable, the equation is true and it follows that there are infinitely many solutions ( values ) that satisfy the equation.
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A truck that is 11 feet tall and 7 feet wide is traveling under an arch. The arch can be modeled by:
y=-0.0625x+1.25x +5.75 where x and y are measured in feet.
a) Will the truck fit under the arch? Explain (with numerical details).
BIRD
b) What is the maximum width that a truck 11 feet tall can have and still make it under the arch?
Answer:
Yes
8 ft
Step-by-step explanation:
The equation of the arch is
[tex]y=-0.0625x^2+1.25x+5.75[/tex]
Differentiating with respect to [tex]x[/tex] we get
[tex]\dfrac{dy}{dx}=-2\times 0.0625x+1.25=-0.125x+1.25[/tex]
Equating with zero
[tex]0=-0.125x+1.25\\\Rightarrow x=\dfrac{-1.25}{-0.125}\\\Rightarrow x=10[/tex]
Double derivative of the equation
[tex]\dfrac{d^2y}{dx^2}=-0.125<0[/tex]
So, the function is maximum at [tex]x=10[/tex]
[tex]y=-0.0625x^2+1.25x+5.75=-0.0625\times 10^2+1.25\times 10+5.75\\\Rightarrow y=12[/tex]
The function is maximum at [tex](10,12)[/tex]
So, the truck's center should be below the point [tex](10,12)[/tex] for maximum width to pass through.
Now truck is 11 feet tall so [tex]y=11[/tex]
[tex]11=-0.0625x^2+1.25x+5.75\\\Rightarrow -0.0625x^2+1.25x-5.25=0\\\Rightarrow x=\frac{-1.25\pm \sqrt{1.25^2-4\left(-0.0625\right)\left(-5.25\right)}}{2\left(-0.0625\right)}\\\Rightarrow x=6,14[/tex]
The maximum width of the truck can be [tex]14-6=8\ \text{ft}[/tex] if it is 11 feet tall.
So, the truck which has a width of 7 feet can fit under the arch.
There are 89 students in the Oakwood Middle School band. The number of boys in the band is 5 more than twice the number of girls. What is the number of boys in the band
Answer:
61 boys
Step-by-step explanation:
x=girls
2x+5+x=89
3x+5=89
3x=84
x=28
28 x 2 = 56
56+5=61
The number of boys in the band will be 61.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that there are 89 students in the Oakwood Middle School band. The number of boys in the band is 5 more than twice the number of girls.
The equation can be formed as below,
2x+5+x=89
3x+5=89
3x=84
x=28
The number of boys will be,
B = 2x + 5
B = 28 x 2 + 5
B = 56+5=61
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[tex]x^{7} x x^{4}[/tex]
Answer:
x12
Step-by-step explanation:
3. The profit for a company is given by the equation y = -0.0002x 2 + 140x – 250,000 where x is the number of units sold and y is the profit. Determine the number of units that should be sold to yield the maximum profit.
9514 1404 393
Answer:
350,000
Step-by-step explanation:
The vertex of the quadratic ax²+bx+c is located at x=-b/(2a). For the given profit function, the number of units (x) that will produce maximum profit is ...
x = -(140)/(2(-0.0002)) = 1,400,000/4
x = 350,000
350,000 units should be sold to maximize profit.
i rlly need help!!!!!!!
Which of the following is true regarding the graph of the function f (x) = e"?
A The domain is I > 0 and the range is y > 0.
В.
The domain is a > 0 and the range is all real numbers.
C
The domain is all real numbers and the range is y > 0
D.
The domain is all real numbers and the range is all real numbers.
The domain and the range of the function F(x) = [tex]e^x[/tex] will be domain is all real numbers and the range is y > 0. The correct option is C.
What are a range and domain?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x).
A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
Given function [tex]e^x[/tex] when we plot the graph of the function it is observed that all the graph of the function varies in the positive part of y. The ranges of the function lie at y > 0 and the domain will be all the real numbers.
Therefore the domain and the range of the function F(x) = [tex]e^x[/tex] will be domain is all real numbers and the range is y > 0. The correct option is C.
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Determine whether the ordered pair (0, 2) is a solution to the equation -2x + y = -1
O No, (0, 2) is not a solution.
O Yes, (0, 2) is a solution
Answer:
O Yes, (0, 2) is a solution
Step-by-step explanation:
The Solution of an Equation
Given the equation
-2x + y = -1
An ordered pair (a,b) is a solution of the equation if
-2a + b = -1
Let's test the point (0,2) to check if it's a solution of the equation:
Replacing x=0, y=-1
-2(0) + (-1) = -1
0 - 1 = -1
-1 = -1
Since the equation is satisfied, the pair (0,2) is a solution.
Answer: O Yes, (0, 2) is a solution
Answer:
No, (0, 2) is not a solution.
Step-by-step explanation:
I did the test
In the last three years, Frederico’s basketball team won 30 more games than they lost. If they won 130 games, what was the ratio of wins to losses?
Answer:
130 to 100
Step-by-step explanation:
Answer: 130 to 100
Step-by-step explanation: