Answer:
Interest = $63
Balance = $2,063
Step-by-step explanation:
Compound Interest Formula
[tex]\boxed{\sf I=P\left(1+\frac{r}{n}\right)^{nt} -P}[/tex]
where:
I = Total interest.P = Principal amount.r = Interest rate (in decimal form).n = Number of times interest is applied per year.t = Number of time periods (years) elapsed.Given:
P = $9,000r = 1.4% = 0.014n = 2 (semi-annually)t = 0.5 (half a year)Substitute the given values into the formula and solve for I:
[tex]\implies \sf I=9000\left(1+\dfrac{0.014}{2}\right)^{2 \times 0.5}-9000[/tex]
[tex]\implies \sf I=9000\left(1+0.007\right)^{1}-9000[/tex]
[tex]\implies \sf I=9000\left(1.007\right)-9000[/tex]
[tex]\implies \sf I=9063-9000[/tex]
[tex]\implies \sf I=63[/tex]
Therefore, the account earns $63 interest in the first six months.
The balance after six months is $2,063.
Can somebody help me if you know what this is
Answer:
-2.5, -7/3, |-2|
Step-by-step explanation:
-2.5 = -2.5
-7/3 = -2.333333333...
|-2| = 2
middle then first then last is least to greatest
Members of a soccer team raised $2143.50 to go to a tournament. They
rented a bus for $888.50 and budgeted $62.75 per player for meals. Write
and solve an equation which can be used to determine x, the number of
players the team can bring to the tournament.
 A company has 37 2/11
acres of land. They give the City 5 1/2 acres for park. How many acres does the company now own?
Answer:
31 15/22 acres
Step-by-step explanation:
2/11=4/22
1/2=11/22
=15/22
37-6=31
31+15/22=31 15/22
HELP . Gilligan sees a ship coming close to the shore he's standing on. He wants to
determine the distance (segment SD) from the ship to the shore. He walks 130 ft along the shore from point D to point C and marks that spot. Then he walks 23 ft further and marks point B. He turns 90° and walks until his location (point A), point C, and point S are collinear. Answer the following questions making sure to show all your work.
(a) Can Gilligan conclude that triangle ABC and triangle SDC are similar? Why or why not?
(b) Suppose AB = 50 ft. What is the distance from the ship to the shore? Show all your work and round your final answer to the nearest tenth of a foot.
The distance (segment SD) from the ship to the shore and Gilligan sees a ship coming close to the shore he's standing on.
The triangles ABC and SDC are similar.
Gilligan may deduce that triangles ABC and SDC are comparable.
Gilligan may deduce that the ship's distance from the cost is 509 feet.
The triangles ABC and SDC are similar.
Gilligan may deduce that triangles ABC and SDC are comparable.
Gilligan may deduce that the ship's distance from the cost is 509 feet.
We may deduce from the question that points S, C, and A are collinear, whereas lines AB and SD are vertical and parallel lines on either side of point C.
As a result, Gilligan may deduce that triangles ABC and SDC are comparable.
How to Determine SD Distance
To do this, we employ the corresponding ratio shown below.
90 should be substituted for AB.
Calculate as a fraction
Make SD the topic.
As a result, Gilligan may deduce that the ship's distance from the land is 509 feet.
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Please help!
Let z=3. Evaluate the expression.
4z - 15
12
-3
28
3
Answer:
-3 is the answer because the variable Z represents 3. we have to multiply 4 by 3 which represents Z.
Step-by-step explanation:
= 4*3 - 15
= 12 - 15
= -3
A number added to -19 is equal to -21
Answer:
-2
Step-by-step explanation:
Let, the needed number be x;
x-19=-21
x=-21+19
x=-2
Question 3(Multiple Choice Worth 2 points) (Order of Operations with Radicals LC) Simplify the expression. 20(6) − 7 113 20 −20 −113
The simplified value of the expression will be -824.
What is algebraic expression ?
An algebraic expression in mathematics is made up of variables, constants and operations such as addition, subtraction, etc.
Given that the expression is 20 × (6) − (7 × 113 × - 20) − 20 − 113.
Now , we will simplify the above expression using PEMDAS rule , which follows the order that is parentheses, exponents, multiplication, division, addition, subtraction.
So , if we solve the expression we will get ,
= (20 × 6) − (7 × 113) - 20 − 20 − 113
Firstly , solve terms which are in parentheses.
= 120 - 791 - 20 - 20 - 113
Now , we will add all the negative terms.
= 120 - 944
Now , subtracting both numbers.
= -824
Thus , the simplified value is equal to -824.
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Which is an expression of degree 4 quadratic term with coefficient of 10.
Answer: think that it is four
Step-by-step explanation: but i don't know because i looked it up
At the beginning of a chemistry experiment, the volume of liquid in a container was 3.2 milliliters. During the experiment, the volume dropped to milliliters. Find the percent of decrease.
The percentage decrease is 43.75%
How to calculate the percentage?Initial volume = 3.2 millimeters
After experiment volume = 1.8 millimeters
Reduction = 3.2 - 1.8 = 1.4 millimeters
Therefore the percentage decrease will be:
= Reduction/Initial value × 100
= 1.4/3.2 × 100
= 43.75%
Therefore, the percentage decrease is 43.75%
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At the beginning of a chemistry experiment, the volume of liquid in a container was 3.2 milliliters. During the experiment, the volume dropped to 1.8 milliliters. Find the percent of decrease.
What are two different ways to describe the relationship between the values of each digit 8 in 3.884
Answer: 8 is 10x bigger than 8 8 is 10x less than 8
Step-by-step explanation:
What is the measure of an exterior angle of a regular ten-sided polygon?
Answer:
36 each and 360 for all exteriors
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
36 x 10 ( how many sides a decagon has) = 360 degrees
what does 2/5 divied by 3/4 equal
Answer: 8/15
Step-by-step explanation:
2/5 x 4/3 (fraction rule)
2 x 4 / 5 x 3
2 x 4 = 8
8 / 5 x 3
5 x 3 = 15
= 8/15
The sum of 6 times a number is x and 10 is36 write and solve an equation to find the number x
Answer:
13
Step-by-step explanation:
Chen says the product of 4x0 is the same as the sum of 4+0. Is Chen correct? Explain.
Answer:
No
Step-by-step explanation:
The product of zero and any number is zero. Basically, if you multiply any number with zero, you get zero. Hence, 4*0=0. However, anything added with zero is itself since you're basically not adding anything to that number. For example, nothing is being added to 4 in '4+0', so 4+0=4.
4*0=0
4+0=4
0[tex]\neq[/tex]4
Write an equation in slope intercept form that’s Perpendicular to y=1/4x+2, and passes through (0,0)
The equation which is perpendicular to the given equation as in the task content is; y = -4x + 0.
Perpendicular linesIt follows from the task content that the line given is; y=1/4x+2.
It follows that the slope is; 1/4 by comparison with the slope-intercept equation; y = mx +c.
Since the required equation is perpendicular; it follows that the products of the slopes must be equal to; -1.
Hence, m × (1/4) = -1
m = -4.
Since, the point, (0,0) is the y-intercept, it follows that the required equation is; y = -4x + 0.
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PLEASE HELP ME I NEED THIS ASAP!!!
Answer: 1. D=(7, 4)
2. D=(-2, -2)
3. D=(6, -4)
Step-by-step explanation:
1. point B goes to point C by moving right 6 units and moving down 2 units.
point A goes to point D by moving right 6 units and moving down 2 units.
A=(1, 6)
D=(1+6, 6-2)
D=(7, 4)
2. point B goes to point C by moving left 4 units and moving down 6 units.
point A goes to point D by moving left 4 units and moving down 6 units.
A=(2, 4)
D=(2-4, 4-6)
D=(-2, -2)
3. point B goes to point C by moving right 8 units and moving down 2 units.
point A goes to point D by moving right 8 units and moving down 2 units. A=(-2, -2)
D=(-2+8, -2-2)
D=(6, -4)
Lesson 4 multiplication pattern
70 x 500 =
Answer:
3500
Step-by-step explanation:
An easy way to solve this specific problem would be to multiply 7 and 5 together to get 35 and then add on the two zeros from 500 to get 3500. Or you can do the standard multiplication strategy.
Hope this helps!
Graph y = 5.
Answer??
Answer is in the image below . -
The ratio of working-age population to the elderly in the United States (including projections after 2000) is given by the function below, with t = 0 corresponding to the beginning of 1995.†
$$ f(t) = \left\{
\begin{array}{rcl}
4.1 & \mbox{if} & 0 \le t < 5\\
-0.03t+4.25 & \mbox{if} & 5 \le t < 15\\
-0.075t+4.925 & \mbox{if} & 15 \le t \le 35\\
\end{array}
\right. $$
(a) Sketch the graph of the function f. When sketching the function, make sure you pay attention to whether each section of the graph starts and ends with open or closed circle.
The graph of the function f. When sketching the function, make sure you pay attention to whether each section of the graph starts and ends with open or closed circle.
[tex]F(t)= \begin{cases}4.1 & 0 \leqslant t < 5 \\ -0.03 t+4.25 & 5 \leqslant t < 15 \\ -0.075 t+4.925 & 15 \leqslant t \leqslant 35\end{cases}[/tex]
Ratio[tex]$=f(9)=-0.03(9)+4.25=3.98$[/tex]
Year 2020 corresponds to t=25
Ratio [tex]$=f(25)=-0.075(25)+4.925=3.05$[/tex]
c. Ratio is constant when t lies in [0,5] ic., in the years [1995,2000]
A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output.
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En una región productora de citricos se Produce una
Fuente helada que daña la cosecha Y, como resultado, sube
el precio de la naranja ¿el precio de equilibrio del zumo
de la naranja subirá,bajará o se mantiene constante?
¿Y como se comportara to cantidad de equilibrio?
elabora un diagrama con los curvas de oferta y
demanda que explique tu respuesta.
Step-by-step explanation:
En una región productora de citricos se Produce una
Fuente helada que daña la cosecha Y, como resultado, sube
el precio de la naranja ¿el precio de equilibrio del zumo
de la naranja subirá,bajará o se mantiene constante?
¿Y como se comportara to cantidad de equilibrio?
elabora un diagrama con los curvas de oferta y
demanda que explique tu respuesta.
12. Which of the following is a false statement?
A. Natural numbers are closed under division.
B. Integers are closed under subtraction.
C. Even numbers are closed under multiplication.
D. Real numbers are closed under addition.
Answer:
A
Step-by-step explanation:
what is 9/8 times 3/8
Me wailer has 32 students in his class he wishes to place them into groups of 8 of equal size which of the following represents the number of the students per groups
Answer:
Step-by-step explanation:
8 x 4 = 32
8 + 8 + 8 + 8 = 32
32 ÷ 4 = 8
Compute 5DBE16-9AF416 using 2’s complement, leave your final answer in octal
5DBE16-9AF416 using 2’s complement is -2635716 octal.
We need to compute 5DBE16-9AF416 using 2’s complement, leave your final answer in octal.
What is two's complement?When two's supplement is utilized to address negative numbers, the main piece (MSB) is used to show the indication of the number. A 1 in the MSB position shows a negative number, and a 0 in the MSB position demonstrates a positive number. In two's supplement, negative numbers are addressed by the converse of the positive number in addition to 1.
To find the backwards of a number, every digit is just upset - 0 changes to 1, and 1 changes to 0. In this way, the converse of 5DBE16 is A2416. One is added to the opposite to find the two's supplements giving us A2417.
2's supplement of a number=the numbers supplement+1
5DBE16-9AF416=464416-9AF416=-54AF416+1=-54AF416
The two's supplement of a number can be determined by deducting the number from 2^n, where n is the number of pieces used to address the number. Along these lines, for this situation, we would take away 5DBE16 from 2^32, which gives us 464416.
Since the 2's complement of a number is equivalent to the negative, we can say that 5DBE16-9AF416=-54AF416.
To change over a two's supplement number to octal, we can involve a similar technique as we would use to switch a paired number over completely to the total. We bunch the pieces into three sets, beginning from the right, and convert each gathering into an octal digit.
In this way, the 2's supplements of 5DBE16-9AF416 would be composed as continues in octal 464416-9AF416=-2635716 octal
Therefore, 5DBE16-9AF416 using 2’s complement is -2635716 octal.
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a bottle of wine costs $20. if the wine is $5 more than the bottle, how much is the bottle?
Answer: the bottles cost is 15$
Step-by-step explanation:
Answer:
Step-by-step explanation:
if the wine bottle is $20 and the bottle is $5 less, then 20-5=15.
The bottle costs $15
Write the following expression using the fewest possible terms. (−4x − 15) + (17 + 7x)
Answer:
3x +2
Step-by-step explanation:
Write the following expression using the fewest possible terms.
(−4x − 15) + (17 + 7x) =
-4x -15 + 17 + 7x=
3x +2
You start at (5, -2). You move up 2 units and left 10 units. Where do you end?
Based on the translation, your end position is (- 5, 0)
How to determine your end position?The given parameters are
Start position = (5, -2)
Navigation = You move up 2 units and left 10 units.
This can be represented as
(x, y) = (x - 10, y + 2)
So, we have:
End position = (5 - 10, -2 + 2)
Evaluate
End position = (- 5, 0)
Hence, your end position is (- 5, 0)
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mx=n+p ,for x
step by step aswell please
The solution for x from the linear equation is x=(n+p)/m .
Linear equation is a equation where the greatest degree of the variable is 1 in the equation.
A basic linear equation in the variable x is of the form ax+b =0 where b is a constant and a is the co-efficient of x.
To solve a linear equation for x we use the simple mathematical operations to make x the subject of the formula.
Given equation is:
mx=n+p
We have to find the value of x.
So we can see that the variable x has a constant co-efficient m
to make x the subject we divide both sides of the equation by m.
Therefore:
mx÷m=(n+p)÷m
or, x=(n+p)/m
So on solving the linear equation we get the value of x as (n+p)/m
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RSTU is a rhombus with an area of 480 square inches.
Diagonal RT is 20 inches long. What is the length of UO?
R
20
A 24 in.
C 36 in.
(not drawn to scale)
S
B 32 in.
D 40 in.
The length of UO in the rhombus is 24 inches
How to determine the length of UO?The given parameters are
Area = 480 square inches
Diagonal RT = 20 inches
The area of the rhombus is calculated as
Area = RT * US/2
Where UO = US/2
So, we have
Area = RT * UO
So, we have
20 * UO = 480
Divide both sides by 20
UO = 24
Hence, the length of UO is 24 inches
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True or false every rational number is a real number
Answer: TRUE
Step-by-step explanation:
Yes, every rational number is a real number. All numbers go into the real number system, including rational numbers. So the answer is true.