He needs to have $205783 amount of money to receive $5000 every 6 months for 10 years.
What is Interest ?Interest is the amount of money received , when a certain lump sum amount is deposited.
It is given that the person is receiving ,
Interest = $5000 ,
after six months , every six month
Time Period = 10 years
Interest Rate = 4%
Compounded Semiannual
Let the principal amount be $x
Compound Interest is given by
Amount = P[ 1 + r/n]ⁿˣ
Here x is the time period
Therefore the Amount = x{ 1 +0.04/2}²⁰
x + 5000 *20 = x{ 1 +0.04/2}²⁰
x + 100000 = 1.486 x
x = $205783
Therefore he needs to have $205783 amount of money to receive $5000 every 6 months for 10 years.
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a paperweight has height 4cm and volume 38.4cm3.
a mathematically similar paperweight has height 7cm.
calculate the volume of this paperweight.
The similar paperweight has a volume of 67.2 cubic cm if the height is 7 cm.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
As we know,
Volume = base area×height
38.4 = base area×4
base area = 38.4/4 = 9.6 square cm
A mathematically similar paperweight has a height of 7 cm.
Volume = base area×height
Volume = 9.6×7 = 67.2 cubic cm
Thus, the similar paperweight has a volume of 67.2 cubic cm if the height is 7 cm.
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Help me out!!!!!!!!!!!!!
Answer:
Add all of the sides up:
x^2 + y + 6x + 2y + y^2 + 6x + 2y + y^2 + 4x^2
= 5x^2 + 12x + 2y^2 + 5y
Convert scientific notation to decimal format.
9.8*10^-9
Answer:
- 9,800,000,000
Step-by-step explanation:
9.8 * [tex]10^{-9}[/tex]
Simplify 10 with exponent
[tex]{10}^{-9}[/tex] = -10 with 9 zeroes
Rewrite
[tex]{10}^{-9}[/tex] = -1,000,000,000
Place back into expression
9.8 * -1,000,000,000
Simplify by multiplying
- 9,800,000,000
Let me know if you have any questions!
Select the correct answer.
The graph of function f is shown.
If g(x) = -2f(x), which graph is the graph of function g?
Answer:
Step-by-step explanation:
Note that the new function, g(x), provides a value for y that is -2 times the value returned by f(x). That means that for the same value of x, the resulting value of g(x) will be -2 times that provided by f(x).
See the attached image. The table shows how the values of y change for each value of x used in the respective function. Plot those new values to produce the graph.
-1 1/3 - 1 2/3
answer in simplest form
Answer:
-3
Step-by-step explanation:
both are negatives, so think of it as addition
at the very end make sure you add the negative symbol :)
-1 1/3 - 1 2/3
The price of a Year 7 mathematics textbook is $60. The store gives a discount of 20% on the textbook.
You have $50 to spend. Would you be able to buy the textbook? Explain.
Answer:
yes,you can buy the textbook
Step-by-step explanation:
determine discount
60 × 0.2(decimal form of 20%)
=12
apply discount
60-12
=48
50>48✓
Please help I can’t figure it out
Answer: -4
Step-by-step explanation: Notice that the increments in the graph do not go in 1's, but in 2's. Meaning the first line is 2, and second line is 4, and in the middle is 3. Be careful.
The range is where the line on the graph hits the y-axis (horizontal line, or line going up). The only possible place the line hits the y-axis is at -4. No other y-value. Thus, the range of the function is -4.
Mila is preheating her oven before using it to bake. The initial temperature of the oven is 75° and the temperature will increase at a rate of 10° per minute after being turned on. What is the temperature of the oven 15 minutes after being turned on? What is the temperature of the oven t minutes after being turned on?
Temp after 15 minutes:
Temp after t minutes
need answer quickly
. Mr. Poudel buys 60 bananas at Rs 80 per score and sells all the bananas at Rs 60 per dozen. What is his profit or loss? (1 score = 20) Profit and Loss 10. Mr. Poudel buys 60 bananas at Rs 80 per score and sells all the bananas at Rs 60 per dozen . What is his profit or loss ? ( 1 score = 20 ) - P : 60
Answer:
profit=Rs60
Step-by-step explanation:
I hope it helps.
An Amazon delivery driver receives a bonus if he delivers a package to a customer in 20 minutes plus or minus 5 minutes. Which inequality or equation represents the drivers allotted time (x) to receive a bonus
[tex]15 \leq X \leq 25[/tex] is the equation represents the drivers allotted time (x) to receive a bonus.
What us the absolute value of inequality?An absolute value inequality is an expression with absolute functions as well as inequality signs.
According to the question:
Mathematically absolute value inequality is represented as :
|X -20|≤ 5
Solving the equation using
|z| ≤ a→ -a ≤ z ≤ a :
here, z = X- 20 and a = 5:
[tex]| X-20| \leq 5\\\\ - 5\leq X-20 \leq 5[/tex]
By Solving X adding 20 on the three sides of the inequality
[tex]-5 + 20 \leq X -20 +20 \leq 5 + 20[/tex]
By simplifying it:
[tex]15 \leq X \leq 25[/tex]
Therefore the equation or inequality which represents the drivers allotted time (x) to receive a bonus [tex]15 \leq X \leq 25[/tex]
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Identify the type of function represented by f(x) = 3(1.5)*.
OA. Exponential growth
B. Linear
C. Exponential decay
D. Quadratic
Answer:
A. Exponential growth function
How many eight-digit numbers can be formed if the leading digit cannot be a zero
and the last number cannot be 1 or 0?
Answer:
81 x 10^6
Step-by-step explanation:
x0000000
11111111x
22222222
33333333
....................
88888888
99999999
---------------------
The first digit and 8th digit column has only 9 numbers and the rest 6 column have 10 possible numbers
9 x 9 x 10^6 = 81 x 10^6
Rhonda gave the cashier $20 to pay for 3 pairs of socks. The cashier gave her $5.12. Each pair of socks cost the same amount. What is the cost in dollars and cents for each pair of socks?
Answer:
4.96 dollars
Step-by-step explanation:
20-5.12=14.88
14.88/3= 4.96 dollars
so each pair of socks costs 4.96$
Bookwork code: M29 Calculator allowed The circle below has centre U. BC and DE are tangents to this circle. Work out the size of angle 0. Give reasons for your answer. A 52° B O E Watch video D 27° 0 C Not drawn accurately A Bookwork code : M29 Calculator allowed The circle below has centre U. BC and DE are tangents to this circle . Work out the size of angle 0 . Give reasons for your answer . A 52 ° B O E Watch video D 27 ° 0 C Not drawn accurately A
1) [tex]OA=OB[/tex] (all radii of a circle are equal)
2) [tex]\angle OBA=52^{\circ}[/tex] (angles opposite equal sides in a triangle are equal)
3) [tex]\angle OAB+\angle OBA+\angle AOB=180^{\circ}[/tex] (angles in a triangle add to 180 degrees)
4) [tex]52^{\circ}+52^{\circ}+\angle AOB=180^{\circ}[/tex] (substitution)
5) [tex]\angle AOB=76^{\circ}[/tex] (subtraction)
6) [tex]\angle AOB+\angle BOD=180^{\circ}[/tex] (angles on a line add to 180 degrees)
7) [tex]76^{\circ}+\angle BOD=180^{\circ}[/tex] (substitution)
8) [tex]\angle BOD=104^{\circ}[/tex] (subtraction)
9) [tex]\angle ODE=\angle OBC=90^{\circ}[/tex] (tangents are perpendicular to the radius of a circle at the point of tangency)
10) [tex]\angle ODC=117^{\circ}[/tex] (angle addition postulate)
11) [tex]\angle BOD+\angle OBC+\angle ODC+\angle DCB=360^{\circ}[/tex] (angles in a quadrilateral add to 360 degrees)
12) [tex]104^{\circ}+90^{\circ}+117^{\circ}+\theta=360^{\circ}[/tex] (substitution)
13) [tex]\theta=49^{\circ}[/tex] (subtraction)
For every 1 litre of water used to make a
medicine, 311ml of sucrose and 29ml of
saline solution are used. Express the amount
of water, sucrose and saline solution needed
as a ratio in its simplest form.
Step-by-step explanation:
hope you can understand
Please help me with my math
Which equation best represents the line
y = 3x + 3
y = 1 over 2x − 3
y = 1 over 2x + 3
y = 3x + 1 over 2
Answer:
C
Step-by-step explanation:
The y intercept is 3, so eliminate B and D.
Also, the slope is less than 1, so this eliminates A.
This leaves us with C.
Suppose a household’s income increases from $2500 to $3000 and quantity demanded changes from 190 to 150. What is the income elasticity?
a.
0.6
b.
$500
c.
-1.05
d.
2.5
The income elasticity for the household is -1.05.
What is the income elasticity?Income elasticity measures how quantity demanded changes when there is a change in the income of a person / household
Income elasticity = percentage change in quantity demanded / percentage change in income
percentage change in income = (3000 / 2500) - 1 = 0.2 = 20% percentage change in quantity demanded =( 150 /190) - 1 = -0.21 = -21%Income elasticity = -21% / 20 = -1.05
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If s(x) = 2 – x² and t(x) = 3x, which value is equivalent to (sof)(-7)?
-439
-141
153
443
Answer:
- 439
Step-by-step explanation:
evaluate f(- 7) and substitute the value obtained into s(x)
f(- 7) = 3(- 7) = - 21 , then
s(- 21) = 2 - (- 21)² = 2 - 441 = - 439
Answer:
A. (s*t)(-7)=-439
Step-by-step explanation:
(s*t)(-7) is the same as s(t(-7)). First find t(-7)
t(-7)=3(-7)=-21
t(-7)=-21
Plug -21 into s(t(-7)) for t(-7).
Find s(-21).
s(-21)=2-(-21)^2=-441+2=-439
Hope this helps!
If not, I am sorry.
a store pays $736 for an oil painting and marks the price up by 22 3/8 %. wat is the amount of the markup?
Answer:
$ 164.68 markup
Step-by-step explanation:
22 3/8 % = 22.375 % which is .22375 in decimal
.22375 * $ 736 = $ 164.68
74 is the same as
radians.
Round to the nearest hundredth of a radian.
Answer:
1,29
Step-by-step explanation:
74*2pi/360
ezzzzzz
Identify the figure that portrays the translation of the given preimage as indicated by the direction arrow.
Preimage: (first photo)
The parallelogram will translate along the arrow and reach the head of the arrow.
The translation is a category of motion in which one body moves along towards a particular direction and reaches a particular point.
In translation, the rotational motion is not present. Also, the translational motion is a one-dimensional motion.
In the given figure, the parallelogram is present at the tail of the arrow.
The arrow depicts the direction of the translational motion.
So, the parallelogram will reach the end of the arrow as shown in the picture present in the attachment.
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Which expression for YYY correctly outputs that x is between 50-100? if (YYY) { // Output "50, 51, ..., 99, 100" } Group of answer choices (x >= 50) || (x <= 100) 50 <= x <= 100 50 >= x <= 100 (x >= 50) && (x <= 100)
The expression for YYY is (d) (x >= 50) && (x <= 100)
How to determine the correct expression?The instruction is given as:
If (YYY) {
// Output "50, 51, ..., 99, 100"
}
The value of x is given as:
x = 50 to 100 (inclusive)
This means that:
x must be greater than or equal to 50 AND x cannot exceed 100
The keyword AND is represented as &&.
So, the condition is:
x >= 50 && x <= 100
Hence, the expression for YYY is (d) (x >= 50) && (x <= 100)
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PLEASE HELP
If the perimeter of a garden is 16 yards, how many inches is it? Hint: There are 3 feet in 1 yard.
If 3 ft = 1yard
? = 16 yards?
Thats [tex]\frac{16 yards * 3ft}{1yard}[/tex]
The common values cancel each other out and you'll have 48 feet :)
The most efficient first step in the process to factor the trinomial 2x^3 - 18x^2 + 40x is:
A. Factor out 2
B. Factor out -1
C. Factor out 2x
D. Factor out (x-5)
Considering the common factor, the most efficient way to factor the expression 2x³ - 18x² + 40x is given by:
C. Factor out 2x.
How to factor an expression?The most efficient way to factor the expression is factoring out the common factor.
In this problem, the expression is:
2x³ - 18x² + 40x
We have that:
The common factor of 2, -18 and 40 is 2.Of x³, x² and x, it is of x.Hence the common factor is of 2x, which means that option C is correct.
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A line contains points M(1, 3) and N(5, 0). What is the slope of MN?
negative StartFraction 4 Over 3 EndFraction
negative StartFraction 3 Over 4 EndFraction
StartFraction 3 Over 4 EndFraction
StartFraction 4 Over 3 EndFraction
Answer:
-¾
Step-by-step explanation:
gradient = delta y over delta x
gradient = 0 - 3 / 5 - 1
gradient = -3 / 4
A ferris wheel with a diameter of 214 feet was built in a city. The top of the wheel stands 223 feet above the ground. Find h if θ = 150°, 240°, and 315°. Round your answers to the nearest whole number.
The diagram in the attached image is a model of the wheel.
The height at 150°, 240°, and 315° will be 208.66 feet, 169.5 feet, and 40.34 feet, respectively.
What is a vector?The quantity which has magnitude, direction and follows the law of vector addition is called a vector.
A Ferris wheel with a diameter of 214 feet was built in a city.
The top of the wheel stands 223 feet above the ground.
Then the radius will be
r = 214 / 2
r = 107 feet
The distance between the ground and bottom of the Ferris wheel will be
d = 223 – 214
d = 9 feet
Then the height will be given as
h = r(1 – cos θ) + h
h = 107(1 – cos θ) + 9
At θ = 150°, then the height will be
h = 107(1 – cos 150°) + 9
h = 208.66 feet
At θ = 240°, then the height will be
h = 107(1 – cos 240°) + 9
h = 169.5 feet
At θ = 315°, then the height will be
h = 107(1 – cos 315°) + 9
h = 40.34 feet
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Question 8(Multiple Choice Worth 1 points)
(07.05 MC)
Use the key features of the polynomial f(x) = 2x³ + 5x² - 2x - 3 to describe its end behavior.
O The left side continues down, and the right side continues up.
O The left side continues down, and the right side continues down.
O The left side continues up, and the right side continues down.
O The left side continues up, and the right side continues up.
The key feature is that; The left side continues down, and the right side continues up.
How to describe the behavior of a Polynomial?We are given the polynomial;
Polynomial function;
f(x) = 2x³ + 5x² - 2x - 3
Leading coefficient = 2
Degree of the polynomial = 3
Since, degree of the polynomial given is odd and the leading coefficient is positive.
Therefore, left side of the graph will continue down and the right side continues up.
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PLS HELP! (PRE-ALG) WILL GIVE BRAINLIEST. Thx sm
Jean transformed a point by using the rule (x,y) → (x−6.y+8). The image point is (-4, 1). Which point is the pre-image?
a. (-10, 9)
b. (2-7)
c. (-2,7)
d. (10,-9)
I believe the answer is -2, 7
What else would need to be congruent to show that ABC = XYZ by ASA
Answer:
A). AC is congruent to XZGiven - angle X = angle A
angle Z = angle C
To find - criteria of congruence
Solution -
In triangle BAC and triangle YXZ
angle X = angle A
angle Z = angle C
we need one pair of side to be comgruent to show the following traingles congruent
if AC is congruent to XZ
then by angle side angle criteria of triangle both the triangles are congruent..
