Answer:
a) $500 + $525 = $ 1,025
b) $420 + $642 = $ 1,062
c) $210 + $856 = $ 1,066
d) $840 + $214 = $ 1,056
Step-by-step explanation:
Compound Interest Equation
A = P(1 + r/n)^nt
Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
Compound Interest Formulas and Calculations:
Calculate Accrued Amount (Principal + Interest)
A = P(1 + r/n)^nt
Calculate Principal Amount, solve for P
P = A / (1 + r/n)^nt
Calculate rate of interest in decimal, solve for r
r = n[(A/P)^1/nt - 1]
Calculate rate of interest in percent
R = r * 100
Calculate time, solve for t
t = ln(A/P) / n[ln(1 + r/n)] = [ ln(A) - ln(P) ] / n[ln(1 + r/n)]
Answer:
It's C
Step-by-step explanation:
The dimensions of a chocolate box are: height=x + 2 inches, length=2x+5 inches, and width=4x-1 inches. If the volume of the chocolate box is 605 cubic inches, what is the value of x?
I hope this helps you
Answer:
To begin to answer your question you would need to know that the formula for the volume of a rectangular prism is the following: [tex]V=lwh[/tex]. Now its just a manner of substitutions.
Step-by-step explanation:
[tex]V=605 \text{in}^3[/tex]
Then one can also state the following:
[tex]V=(x+2)(4x-1)(2x+5)[/tex]
Following up with this substitution:
[tex]605=(x+2)(4x-1)(2x+5)[/tex]
Proceeding with a FOIL procedure:
[tex]605=(4x^2+8x-x-2)(2x+5)[/tex]
[tex]605=8x^{3}+34x^{2}+31x-10[/tex]
[tex]0=8x^{3}+34x^{2}+31x-615[/tex]
Using PRZs:
[tex]PRZs=\frac{\text{Factors of Constant Term}}{\text{Factors of Highest Power}}=\frac{\pm 1,\pm 3, \pm 5, \pm 41, \pm 615}{\pm 1, \pm 2, \pm 4, \pm 8}[/tex]
By graphing it one can identify that 3 is a solution so plugging it in and using synthetic division.
[tex]\begin{array}{ccccc}3|& 8 & 34 & 31 & -615\\ \ \ |& & 24 & 174 & 615 \\ & 8 & 58 & 205 &0 \end{array}\\[/tex]
Giving the following the polynomial:
[tex]0=(x-3)(8x^2+58x+205)[/tex]
Now one can evaluate the discriminant of that quadratic:
[tex]58^2-4(8)(205)=-3196[/tex]
Because it is negative one knows that it produces imaginary solutions. Therefore the only real solution is [tex]x=3[/tex]. Therefore the dimension of the box is the following: [tex]5\text{in},11\text{in}, 11\text{in}[/tex]
Find the next two terms of the geometric sequence 567, 189, 63 … .
Answer:
As we can observe,
F(1) = 567
F(2) = 189 = 567/3 = F(1)/3
F(3) = 63 = 189/3 = F(2)/3
=> F(4) = F(3)/3 = 63/3 = 21
Hope this helps!
:)
Answer:
21 then 7
Step-by-step explanation:
A rectangular field on a farm is to be fenced in using the wall of the barn for one side and 200 meters of fencing for the other three sides. The area A(x) in square meters of the field is a function of the length x in meters of each of the sides perpendicular to the barn wall
Answer:
Rectangular area as a function of x : A(x) = 200*x + 2*x²
A(max) = 5000 m²
Dimensions:
x = 50 m
l = 100 m
Step-by-step explanation:
"x" is the length of the perpendicular side to the wall of the rectangular area to be fenced, and we call "l" the other side (parallel to the wall of the barn) then:
A(r) = x* l and the perimeter of the rectangular shape is
P = 2*x + 2*l but we won´t use any fencing material along the wll of the barn therefore
P = 2*x + l ⇒ 200 = 2*x + l ⇒ l = 200 - 2*x (1)
And the rectangular area as a function of x is:
A(x) = x * ( 200 - 2*x) ⇒ A(x) = 200*x + 2*x²
Taking derivatives on both sides of the equation we get:
A´(x) = 200 - 4*x ⇒ A´= 0
Then 200 - 4*x = 0 ⇒ 4*x = 200 ⇒ x = 50 m
We find the l value, plugging the value of x in equation (1)
l = 200 - 2*x ⇒ l = 200 - 2*50 ⇒ l = 100 m
A(max) = 100*50
A(max) = 5000 m²
Answer:
Sorry man i dont know they answer
Step-by-step explanation:
what percent of 420 is 70
Answer:
16.67
Step-by-step explanation:
Answer:
16.67
Step-by-step explanation:
70:420*100 =
(70*100):420 =
7000:420 = 16.67
Mr. Blackburn is buying new carpet for his family room and hallway. The floor plan is shown below.
Pls help me ASAP
Answer:
Step-by-step explanation:
3.2 times 1.5 plus 6 times4.2= 30 meters of carpet.
Answer:
He needs 23.7 of carpet
Step-by-step explanation:
multiply 4.2 and 6 which is 25.2. Then subtract 1.5 from 25.2 which is 23.7.
Given the points A(-2, 4) and B(7, -2), find the coordinates of the point P on directed line segment that partitions AB in the ratio 1:2.
The coordinates of the point P on directed line segment that partitions AB in the ratio 1:2 is (4, 0)
Given the point A (-2, 4) and B(7, -2). The coordinate of the point P on the line segment that partitions AB in the ratio 1:2, is expressed as:
[tex]P(X, Y) = (\frac{ax_1+bx_2}{a+b}, \frac{ay_1+by_2}{a+b})[/tex]
Substitute the given coordinates where a = 1 and b = 2
[tex]P(X, Y) = (\frac{1(-2)+2(7)}{1+3}, \frac{1(4)+2(-2)}{1+2})\\P(X, Y) = (\frac{-2+14}{3}, \frac{4-4}{1+2})\\P(X, Y) = (\frac{12}{3},\frac{0}{3})\\P(X, Y) = (4, 0)\\[/tex]
Hence the coordinate of point P is (4, 0)
Learn more here: https://brainly.com/question/3510899
The measure of an angle is 17°. What is the measure of its complementary angle?
Answer:
73°
Step-by-step explanation:
the measure of two complementary angles add up to 90
so We need to solve this equation to get the measure of its complementary angle :
x + 17 = 90
then
x = 90 - 17
= 73
Pleaaaase hellp me will mark u brainly for both answers!!!
Thank u if u do really appreciate it.
Answer:
1. Option A is correct (A = length x width)
2. Option B is correct ( A = base x height/2)
Hope this helps
:)
The triangular prism shown below is 6 \,\text{cm}6cm6, start text, c, m, end text wide and 4\,\text{cm}4cm4, start text, c, m, end text deep. The vertical height is 7\,\text{cm}7cm7, start text, c, m, end text. What is the length of the side edge, sss, of the triangular prism? Round your answer to the nearest tenth.
Question :
The triangular prism shown below is 6 cm wide and 4 cm deep. The vertical height is 7 cm. What is the length of the side edge, s, of the triangular prism? Round your answer to the nearest tenth.
Answer: 7.62cm
Step-by-step explanation:
Given the following :
Width = 6cm
Depth = 4cm
Vertical height = 7cm
Splitting the face of the prism into two:
Thus the width becoming 6cm/2 = 3cm and vertical height = 7cm
Using Pythagoras ;
The side edge 's' equals
s^2 = width^2 + height^2
s = √(width^2 + height^2)
s = √(3^2 + 7^2
s = √9 + 49
s = √58
s = 7.62cm
Answer:
7.6
Step-by-step explanation:
the person above is correct, i took the test on khan, but you have to round to the nearest tenth
Graph the circle x2 + y² + 16x - 16y + 124 = 0
Answer:
the second option
Step-by-step explanation:
The graph of circle x² + y² + 16x - 16y + 124 = 0 is attached and circle has centre (-8, 8) and radius 2.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
To graph the circle x² + y² + 16x - 16y + 124 = 0, we first need to rewrite it in standard form:
x² + 16x + y² - 16y + 124 = 0
(x² + 16x + 64) + (y² - 16y + 64) = -124 + 64 + 64
(x + 8)² + (y - 8)² = 4
Now we can see that the circle has center (-8, 8) and radius 2.
To graph it, we can plot the center point and then draw a circle with radius 2 around it.
Hence, the graph of circle x² + y² + 16x - 16y + 124 = 0 is attached and circle has centre (-8, 8) and radius 2.
To learn more on Circles click:
https://brainly.com/question/11833983
#SPJ2
Benny scored 19 points in Mondays basketball game and 46 points in Fridays game.How many points did he score in the last two games?
Answer:
He scored 65 points in his last two games
Step-by-step explanation:
Here, we want to calculate the number of points Benny scored in his last two games.
We must understand that his last two games correspond to the games he played on Monday and on Friday
So to get his total points in the last two games, what we do is that we add both points together
Mathematically, that would be 19 + 46 = 65 points
Pleeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeease
Answer:
1. 5
2. 1
3. 2
4. 23
Step-by-step explanation:
If y=6x+5, you can plug in the known x or y value to get the other with this function. For the first row, y=6(0)+5=5. For the second row, 11=6x+5, and that x=1. For the third row, x is 2, and for the fourth row y is 23. Hope this helps!
A 16-ounce package of cereal costs $4.00. What is the unit cost?
$0.25
1 oz.
4 oz
$1.00
$1.00
4 Oz.
1 oz.
30.25
Answer:
$0.25
Step-by-step explanation:
Unit price is the price for a single unit . It is given price of 16 ounce package of cereal is $4.00. We need to find price of 1 ounce package. 1 ounce package of cereal will cost 4÷16=$0.25
Answer:
oz over .25
Step-by-step explanation:
The graph shows the relationship between mass and volume for pure silver. Use the graph to determine the density of pure silver to the nearest tenth and complete the explanation of how do you find the density
The density is equal to the
A. Run
B. Rise
C. Slope
D. Degree
The density of sliver is approximately __ g/cm cube
Answer:
C. Slope and [tex]10.49 g/cm^3[/tex]
Step-by-step explanation:
We're missing the graph itself, but I can make an educated guess:
- Assuming x = volume and y = mass:
[tex]p = \frac{m}{v}[/tex]
density = mass/volume
x = volume = run
y = mass = rise
mass/volume = rise/run = slope
The slope of the line (assuming the graph is purely linear) represents mass/volume, which is the formula for density.
I had to Google the density of silver itself. Do the math from the graph for a more appropriate answer, as the graph may be less scientifically precise.
cAnswer:
Step-by-step explanation:
What are the domain and range of the logarithmic
function f(x) = log7X? Use the inverse function to
justify your answers.
Answer:
The domain of f is x > 0.
The range of f is all real numbers.
The domain of the inverse function is all real numbers.
The range of the inverse function is y > 0.
The domain of f is the same as the
range of the inverse function.
The range of f is the same as the
the domain of the inverse function.
Step-by-step explanation:
this is the sample answer, make sure you rewrite in your own words!
The domain and the range of a function are the set of input and output values of the function
The domain and the range of the function are set of real numbers greater than 0
The function is given as:
[tex]f(x) = log_7(x)[/tex]
The above function is a logarithmic function.
From the properties of a logarithmic function, we have:
The x-values are always greater than 0The y-values are always greater than 0This means that, the domain and the range of the function are set of real numbers greater than 0
Read more about domain and range at:
https://brainly.com/question/10197594
15. Find the largest number which divides 70
and 125 leaving remainders 5 and 8,
respectively
Answer:
13
Step-by-step explanation:
70 - 5 = 65
125 - 8 = 117
Find the Greatest Common Divisor of 65 & 117
65 = 5 * 13
117 = 3 * 3 * 13
GCD = 13
13 is the largest number that divides 70 & 125 and leaves remainders 5 and 8 respectively
V2 is equal to + 2 a s derive
A recipe calls for 2 3/4 cups on milk. If the recipe is tripled, how much milk is needed?
8 1/4 should be the answer
Answer:
8 1/4
Step-by-step explanation:
33/4 simplified is 8 1/4
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Answer:
D
Step-by-step explanation:
see attachment
what's the value of a cube if the length is 44 the height is 45 in The width is 43?
Answer:
Step-by-step explanation:
Value of a cube = length*height*width
Value of a cube = 44*45*43
= 85140
I hope it'll help you much
Thank you for asking
how to make a percent into a decimal
Answer:
Divide a percent by 100 and remove the percent sign to convert from a percent to a decimal. The shortcut way to convert from a percentage to a decimal is by removing the percent sign and moving the decimal point 2 places to the left.
Step-by-step explanation:
5.25% = .0525
Kono Dio Da
Answer:
Divide a percent by 100 and remove the percent sign to convert from a percent to a decimal.
Step-by-step explanation:
A window in Michael's room is the shape of a trapezoid. The bases are 30 inches and 40 inches. The height of the window is 24 inches. Find the area of the window.
Answer:
The area of the window is of 840 square inches.
Step-by-step explanation:
To find the area of an trapezoid, we need to add the sum of the bases, multiply by the height, and then divide by 2.
Matematically:
[tex]A = \frac{(b_{1} + b_{2})*h}{2}[/tex]
In which [tex]b_{1}[/tex] and [tex]b_{2}[/tex] are the bases and h is the height.
In this question:
[tex]b_{1} = 30, b_{2} = 40, h = 24[/tex]
All the measures in inches, so the area is in square inches.
[tex]A = \frac{(30 + 40)*24}{2} = 840[/tex]
The area of the window is of 840 square inches.
Determine the volume of the cylinder
Answer:
about 904.78
Step-by-step explanation:
πr^2h pi(6)^2 * 8
Describe how multiplying all the linear dimensions of a cone by one
fourth affects the volume of the solid. *
Answer:[tex]\frac{1}{64}^{th}[/tex]
Step-by-step explanation:
Given
Suppose V is the original volume of cone having r as radius and h as height
If we multiply all the linear dimensions of ac one by [tex]\frac{1}{4}^{th}[/tex]
the [tex]r'=\frac{r}{4}[/tex]
[tex]h'=\frac{h}{4}[/tex]
Therefore new volume is
[tex]V'=\frac{1}{3}\pi r'^2h'[/tex]
[tex]V'=\frac{1}{3}\pi (\frac{r}{4})^2(\frac{h}{4})[/tex]
[tex]V'=\frac{1}{64}\times \frac{1}{3}\pi r^2h[/tex]
[tex]V'=\frac{V}{64}[/tex]
So new volume becomes [tex]\frac{1}{64}^{th}[/tex] of the original one
(x - 3)² + (x - 1)² = 8
Identify the center and radius of each
Answer:
The center is at (3,1) and the radius is [tex]\sqrt{8}[/tex]
Step-by-step explanation:
I am going to assume you meant to write
[tex](x-3)^2+(y-1)^2 = 8[/tex]
Since if both variables were x it would not be a circle:
Then you can find the center and radius using the general formula of a circle:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
where the center is at (h,k) and r is the radius
Therefore:
The center is at (3,1) and the radius is [tex]\sqrt{8}[/tex]
Work out, giving your answer as a mixed number:
4 2/3 + 1 3/4
Look at the attached picture
hope it will be helpful to you..
What is the volume of the triangular prism? Round to the nearest tenth.
12 in
10.4 in
12 in
118 Bin
7488in?
1085 Bin
1185 Bin
Answer:
1185 bin
Step-by-step explanation:
i rounded so i and i multiply and didved and i got that i got 1185 bin
Find the exact value of sin 315º in simplest form with a rational denominator.
Answer: - √2
Step-by-step explanation:
9. What is the volume of the given prism? Round the answer to the nearest tenth of a centimeter.
The figure is not drawn to scale.
8.8 cm
/
4.7 cm
13.1 cm
313.3 cm3
436.4 cm
541.8 cm3
681.5 cm3
Answer:
The answer is 541.8 cm³
Step-by-step explanation:
you just have to multiply the measures of each side:
(8.8)(4.7)(13.1) = 541.8
HELP ASAP!
Point A is located at (1, 4), and D is located at (-3, 6). Find the coordinates of the point that lies halfway between A and D. (5 points)
(3, 4)
(-3, 4)
(1, 5)
(-1, 5)
Answer:
I believe the answer is (-1,5)
Step-by-step explanation: because when you draw it out on a coordinate plain (-1,5) lies right in the middle of these two points.
