Withdraw at the end of each of the next 20 years is [tex]710000(1.0825)^{20}[/tex]
What do you mean by simple interest and compound interest?
Simple interest can be defined as the amount that is paid back using borrowed money over a period of time.
simple interest:
Simple interest can be defined as the principal of a loan or deposit that an individual puts into a bank account.
Compound interest:
Compound interest is interest that accrues on the principal and accrues interest.
Given:
Principal, P = $710000
Rate of interest, r = 8.25%
Time period, t = 20 years
withdrawal at the end of 20 years , A = [tex]P(1+r)^{t}[/tex]
A = [tex]710000(1+8.25/100)^{20}[/tex] = [tex]710000(1+0.0825)^{20}=710000(1.0825)^{20}[/tex]
Therefore, withdraw at the end of each of the next 20 years is [tex]710000(1.0825)^{20}[/tex]
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A little help please i dont know how to do this
What is the smallest distance between the origin and a point on the graph of y = 1/2*(x^2 - 8)?
The smallest distance between the origin and a point on the graph of y = 1/2(x² - 8) is √7 units.
Given, a function
y = 1/2(x² - 8)
We have to find the smallest distance between origin and a point on the graph of y = 1/2(x² - 8).
Now, the point on the graph be,
( x , 1/2(x² - 8) ) and origin be (0 , 0)
Let the function of the distance between both the points be,
D = √(x - 0)² + (1/2(x² - 8) - 0)²
D = √x² + 1/4(x² - 8)²
D² = x² + 1/4(x² - 8)²
On differentiating, we get
2DD' = 2x + x(x² - 8)
x³ + 2x - 8x = 0
x³ - 6x = 0
x(x² - 6) = 0
So, x = 0 , √6 , -√6
and the distance is minimum for x = √6
Therefore, using distance formula, we get
Distance = √(x1 - x2)² + (y1 - y2)²
Distance = √(0 - √6)² + (0 - (-1))²
Distance = √6 + 1
So, the smallest distance between the origin and a point on the graph of y = 1/2(x² - 8) is √7 units.
Hence, the smallest distance between the origin and a point on the graph of y = 1/2(x² - 8) is √7 units.
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(7x² + 4y²)(5x² - y²)
Answer:
okay so step by step explanation,
first multiply 7[tex]x^{2}[/tex] with 5[tex]x^{2}[/tex] and -[tex]y^{2}[/tex]
35[tex]x^{4}[/tex]-7[tex]x^{2}[/tex][tex]y^{2}[/tex]
then do the second one
20[tex]x^{2}[/tex][tex]y^{2}[/tex]-4[tex]y^{4}[/tex]
take the sum of those,
35[tex]x^{4}[/tex]+13[tex]x^{2}[/tex][tex]y^{2}[/tex]-4[tex]y^{4}[/tex]
good luck<3!
There are 8 roses and 7 daisies in a vase.
(a) What is the ratio of roses to all flowers in the vase?
(b) What is the ratio of daisies to all flowers in the vase?
can somebody please help me
Answer:
B
Step-by-step explanation:
This is correct because it is the only one in proper set notation.
Hope it helps!
How many units are in 10 lots
A standard lot is an amount of currency which is the same as 100,000 units of a base currency .
What are the types of lot sizes?There are three lot sizes;
The standard lotThe mini lotThe micro lotIn finance, a lot indicates a measure or increment of a commodity that can be transacted. Products are bought and sold using different lot sizes. Products such as spot forex are sold in lots of 100,000, 10,000, 1,000, or 100 units.
Competition and brokerage online has resulted in the introduction of various lot sizes and forms.
A change of $10 corresponds to a pip movement of a standard lot.
By buying $100,000 at ¥110.00 and the price increases to ¥110.50, which indicates a 50 pip movement and a gain of $500 and vice versa.
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. Which equations are true? Choose all that apply.
A. 2 x 0 = 2
B. 5x0=9×0
D.) 1 x 3 = 3
C. 6 x 1= 3x2
Please help. Find x and y. NEED ASAP
Answer:
x = 15 , y = 4
Step-by-step explanation:
If 3 or more parallel lines are intersected by two or more transversals, the parallel lines divide the transversals proportionally. then
[tex]\frac{x}{5}[/tex] = [tex]\frac{18}{6}[/tex] = 3 ( multiply both sides by 5 )
x = 15
and
[tex]\frac{12}{y}[/tex] = 3 ( multiply both sides by y )
12 = 3y ( divide both sides by 3 )
4 = y
Valerie is 64 inches tall. About how many centimeters tall is Valerie?
(1 inch -2.5 centimeters)
O 25.5
O 30.6
O 160
O 180
Using the conversion factor, the height of Valerie in centimeters is (C) 160 cm.
What is the conversion factor?A conversion factor is a quantity or formula required to change a measurement from one system of units to another system of the same measurement.
The amount is often expressed as a fraction or ratio with a multiplication factor.
For instance, 12 inches equals one foot when converting between inches and feet.
So, 64 inches in cm is:
We know that:
1 inch = 2.5 cm
Then, 64 inches is:
64 inches = 2.5 × 64
64 inches = 160
Therefore, using the conversion factor, the height of Valerie in centimeters is (C) 160 cm.
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Correct question:
Valerie is 64 inches tall. About how many centimeters tall is Valerie?
(1 inch -2.5 centimeters)
A. 25.5
B. 30.6
C. 160
D. 180
On a farm the ratio of grey goats to white is 4:7 there are 160 grey goats. How many white goats are there
Answer: 88
Step-by-step explanation:
For every 7 grey goats there are 4 white goats. 160/7=22 4*22=88
Add.
(-x³-x)+(6x² + 6x -7)
Answer:
[tex]-x^{3}+6x^{2} +5x-7[/tex]
Step-by-step explanation:
-x^3-x+6x^2+6x-7
Order the polynomial from exponent order to make it easier
-x^3+6x^2+6x-x-7
-x^3+6x^2+5x-7
Hopes this helps please mark brainliest
Answer:
-x^3+6x^2+5x-7
Step-by-step explanation:
open parentheses, collect like terms.
Write a linear equation that passes through
the points (-3, 3) and (9, -13).
In Point - Slope form.
The point slope form of equation is y- 3 = -4/3( x- (-3)).
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given:
Points= (-3, 3) and (9, -13)
Now,
slope= (-13 - 3)/ (9 - (-3))
slope= -16 / 12
slope= -4/3
Now, the point slope form
y- [tex]y_1[/tex] = m (x- [tex]x_1[/tex])
y- 3 = -4/3( x- (-3))
y- 3= -4/3x - 4
y= -4/3x - 1
Hence, the point slope for of equation is y- 3 = -4/3( x- (-3)).
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100 pointers! pls answer ASAP!!!!
find the measure of angle A show all your work
Thx
The value of ∠A in triangle ABC is 40°
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180°
In the given triangle ABC,
∠A=7x-16°, ∠B=81°
By alternate segment theorem,
∠C=4x+27°
The sum of all the angle of a triangle is 180°.
∠A+∠B+∠C=180°
⇒7x-16+81+4x+27=180
11x=180-92
11x=88
x=8
So the value of ∠A=7×8-16 = 40°
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Answer:
The value of ∠A in triangle ABC is 40°
Pretty much the same as the person that posted before.
15 more than twice Janelle's age
Use the variable j to represent Janelle's age
1. Represent "twice than Janelle's age":
-> 2j.
2. Represent "fifteen more than twice than Janelle's age":-> 15+2j.
3. Final answer.15+2j.
b) The diagram shows a thin square sheet of metal measuring 24 cm by 24 cm. A square of side x cm is cut off from each corner. The remainder is then folded to form an open box, x cm deep, whose square base is shown shaded in the diagram. Write the volume, cm³, of the box as V=4x³-96x² +576x [3]
(ii) Compute the maximum cost paid to fill up the box with sand if RM 0.30 per cubic centimeter of sand charged. [2]
Answer:
Below
Step-by-step explanation:
Graphing the equation shows local max volume at x = 4 of 1024 cm^3
1024 cm^3 * RM . 30 / cm^3 = RM 307.2
a magician charges a $30 fee to cover travel and expenses, plus $19.99 per hour. Write an equation to represent the relationship between h, the number of hours, and t, the total charge for the magician.
The equation to represent the relationship between h and t is
t = 30 + 19.99h.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
Given that, the magician charges a $30 fee one time and a $19.99 fee per hour.
The total charge, t, for the magician for h hours is,
t = 30 + 19.99h
Hence, the equation to represent the relationship between h and t is
t = 30 + 19.99h.
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Help to solve this question attached below###
Suppose the number cube was rolled 500 times. Based on the results in the table, about how many times would it land on 5?
The number of times that the cube will land on 5 if the number cube was rolled 500 times is 83 times.
What is probability?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.
It should be noted that in a number cube, we hage numbers from 1 to 6. The probability of getting a 5 is 1/6.
Therefore, when it's rolled 500 times, the possible number will be:
= 1/6 × 500
= 83 times.
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What is the constant of proportionality, ?
I
y
30+
28+
26+
-24+
22+
20+
18+
16+
14+
12+
10+
8+
6+
4+
2+
2
3
4
5
6
7
8
I
Answer:50.8%
Step-by-step explanation:
Can you calculate the area of this land and if so, can you help me?
Se podría calcular el area de este terreno? y si es así pueden ayudarme?
The area of the rectangular land is 208,607 square meters,
A rectangle is defined as a quadrilateral whose opposite sides are equal and parallel
How to find the area of a rectangle?
The lengths of a rectangle are denoted by L and W
where: L=length
w=width
Area of the land (A)= Area of the larger land minus Area of the smaller land carved out
A= (LW) - (lw)
A=(513x466.5)-(267x113)
A=239,312-30705
A=208.607 meters square
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Joyce paid $120.00 for an item at the store that was 40 percent off the original price. What was the original price?
$
Give your answer to the nearest cent.
use the formula for the area of the circle and the dimensions you listed in level 5 to explain the formula for the area of a circle (r2).
The formula for the area of a circle is given as follows:
A = πr².
How to obtain the area of a circle?The area of a circle of radius r is given by the multiplication of the number π and the square of the radius, according to the equation presented as follows:
A = πr².
Hence, for example, for a circle of radius of 5 units, the area is given as follows:
A = π x (5 units)² = 25π units².
The diameter of a circle is twice the radius, hence the radius is half the diameter, and as a function of the diameter, the area will be given as follows:
A = 0.25πd².
As the diameter in the context of this problem is:
r² = (0.5d)² = 0.25d².
Missing InformationThe problem is incomplete, hence the area of the circle was explained in general terms.
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A department store buys 400 shirts at a cost of $3,200 and sells them at a selling price of $10 each. What is the percent markup?
Which of the following is a rational expression?
1) 2
2) 6/x-20
3) 20x^2+2/9x^3+x
4) All of them are rational expressions?
Answer:
All of them
Step-by-step explanation:
A rational expression is simply a quotient of two polynomials. Or in other words, it is a fraction whose numerator and denominator are polynomials.
Suppose an investment account is opened with an initial deposit of $18,500 earning 6.25% interest, compounded continuously. How much will the account be worth after
25 years? (Round your answer to two decimal places.)
$
The amount in the account after 25 years be $ 84,216.11
Given, an investment account is opened with an initial deposit of $18,500 earning 6.25% interest, compounded continuously.
We have to find the amount in the account after 25 years.
Now, on using the compound interest amount formula, we get
Amount = P(1 + r/100)^t
Amount = 18500(1 + 6.25/100)^25
Amount = 18500(1.0625)^25
Amount = 18500(4.55)
Amount = 84,216.1137
Hence, the amount in the account after 25 years be $ 84,216.11
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Find the square root of:
441
It is very easy, we just have to take the square root as it tells us in the problem:
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \red{ \sqrt{441 }} = \orange{21}[/tex]
You may ask ¿why 21?
[tex]\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \red{21 \times 21} = \orange{441} [/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf So , \: the \: result \: is \\ \sf \longmapsto \orange{21} [/tex]
What is the equation of this graph the line?
The slope-intercept form of the given line be,
y = -(9/8)x + 7
Given, a line is passing from two points (0 , 7) and (8 , -2)
we have to find the slope-intercept form of the equation of the line passing from the given points.
Using the slope-intercept form, we get
(y - y1)/(x - x1) = (y1 - y2)/(x1 - x2)
(y - 7)/(x - 0) = (7 - (-2))/(0 - 8)
(y - 7)/(x - 0) = 9/-8
-8(y - 7) = 9x
-8y + 56 = 9x
9x + 8y = 56
Slope-intercept form of the equation is,
y = -(9/8)x + 7
Hence, the slope-intercept form of the given line be, y = -(9/8)x + 7
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15. Tim can finish painting his barn in 10 hours. It takes
his wife JoAnn only 8 hours to do the same job. If they
work together, how long will it take them to complete the
job?
Answer:
4 4/9
is the time it will take
Calculate the rate of change of function f(x)= sqaure root of x - 1/square root of x
The rate of change of function [tex]f(x) = \sqrt{x} - \frac{1}{\sqrt{x}}[/tex] for x = 4 and x = 9 is 7 / 30.
We know that the rate of change of a function is nothing but the slope of the line.
The slope of the line is given by;
Slope = Change in y-coordinate / change in x-coordinate
We are given;
[tex]f(x) = \sqrt{x} - \frac{1}{\sqrt{x}}[/tex]
We need to find the rate of change of function for x = 4 and x = 9.
Let us find the value of y or f(x) for the given value of x.
For x = 4, [tex]f(x) = \sqrt{4} - \frac{1}{\sqrt{4}}[/tex] = 2 - 1/2 = 4 - 1 / 2 = 3 / 2
For x = 9, [tex]f(x) = \sqrt{9} - \frac{1}{\sqrt{9}}[/tex] = 3 - 1/3 = 9 - 1 / 3 = 8 / 3
Put the values of x and y in the slope formula, we will get;
Slope = (8 / 3 - 3 / 2) / (9 - 4) = 7 / 6*5 = 7 / 30
So, the rate of change of function is 7 / 30.
Thus, the rate of change of function [tex]f(x) = \sqrt{x} - \frac{1}{\sqrt{x}}[/tex] for x = 4 and x = 9 is 7 / 30.
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4 and 3 half's divided by 2 and 7
halfs minus 8
Answer:
4/3/2/7-8= -7
Step-by-step explanation: