[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$120000\\ r=rate\to 11.5\%\to \frac{11.5}{100}\dotfill &0.115\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per annum, thus once} \end{array}\dotfill &1\\ t=years\dotfill &7 \end{cases}[/tex]
[tex]A=120000\left(1+\frac{0.115}{1}\right)^{1\cdot 7} \implies A \approx 257101.92 \\\\\\ \underset{earned~interest}{\stackrel{257101.92 - 120000}{\text{\LARGE 137101.92}}}\hspace{10em}\underset{adjusted~balance}{\stackrel{257101.92 - 25000}{\text{\LARGE 232101.92}}}[/tex]
3x+8 = x-6
x=?
pls help
Answer:
x = -7Step-by-step explanation:
3x+8 = x-6
x=?
3x + 8 = x - 6
2x = -14
x = -7
---------------------------
check
3 × (-7) + 8 = -7 - 6
-21 + 8 = -13
-13 = -13
the answer is good
round 163 to the nearest 10? round it to the nearest ten it would be 160 i think because 163 is close to 160 so it has to 160
Answer:
163 rounded to the nearest ten = 160.
Step-by-step explanation:
yes since 163 is not 165 or greater its 160 but if it the number was greater than 165 than it would be 170. in this case its not so the answer would be 160.
Solve each system by elimination: 3x-2y=19 5x+4y=17
Answer: x= 5 y= -2
Step-by-step explanation: Time 2 to eliminate the y
6x - 4y = 38
5x + 4y =17
11x = 55
x= 5
Then put 5 in for the x, and you will get, y = -2
Adriyana is making a kite. Triangle ΔABC has a perimeter of 38 and AC≅DC as well as BD≅BA.
Find the measure of DC
If a Triangle ΔABC has a perimeter of 38 and AC≅DC as well as BD≅BA than the side DC can be measures as CD=38-AB-BC if AB and BC are given.
What is a triangle?A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.
What is a formula of perimeter of triangle?In the case of a triangle, the perimeter will be the sum of all the three sides. If a triangle has three sides a, b and c, then, Perimeter, P = a + b +c
As the perimeter of a triangle ABC is
Perimeter=AB+BC+CA
And we are given with only the perimeter of triangle;
P=38m
Now;
As given condition is;
AB=BD, AC=CD So;
38=AB+BC+CD
And
CD=38-AB-BC
If then length of the sides of AB and BC are provided we can calculate the value of CD
to learn more about perimeter visit:
https://brainly.com/question/6465134
#SPJ4
And also this one please very important please
Answer:
B. x = 5 +i√5 and x = 5 - i√5
Step-by-step explanation:
due now pls help!!!!!!!!!!!!
Pythagorean Theorem we get x is 8.
What is the Pythagorean theorem ?The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, [tex]a^2 + b^2[/tex], are equal to the squares on the legs.To determine the undiscovered side of a right-angled triangle, utilize the Pythagoras theorem. The hypotenuse (third side) of a right-angled triangle, for instance, can be determined using the formula [tex]c^2 = a^2 + b^2[/tex], where 'c' stands for the hypotenuse and 'a' and 'b' are the two legs.given :
Hypotenuse = 10
base = 6
unknown leg x = [tex]\sqrt{10^2 - 6^2}[/tex] = [tex]\sqrt{64}[/tex] = 8
x =8 .
To learn more about Pythagorean Theorem refer,
https://brainly.com/question/343682
#SPJ1
LMNO is a parallelogram. If NM =x+5 and OL =2x+3 then find the value of x
If LMNO is a parallelogram then NM=7=OL and the value of X is 7 unit
What is a Parallelogram?
A quadrilateral having two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side. 360 degrees is the sum of all interior angles.
A parallelepiped is a three-dimensional shape with parallelogram-shaped faces. The base (one of the parallel sides) and height (the distance from top to bottom) of the parallelogram determine its area. A parallelogram's perimeter is determined by the lengths of its four sides.
As it is a parallelogram so, the opposite sides of the parallelogram are equal so NM=OL and ON=LM ,
according to the question ;-
NM = x+5
OL=2x+3
and NM=OL
x+5=2x+3
x=2
So, NM= 7
OL=7
Learn more about Parallelogram from the link below
https://brainly.com/question/11220936
#SPJ1
If sin 0 = 7/25, use the Pythagorean Identity to find cos 0.
Answer:
cosФ = [tex]\frac{17}{25}[/tex]
Step-by-step explanation:
the sin and cos are the same and for tan it's flipped.
Which situation can be represented by the equation 56 = 2x -10? A. Sammy's age is 10 more than twice Ted's age. Sammy is 56 years old. How old is Ted? B. Sammy's age 10 decreased by twice Ted's age. Ted is 56 years old. How old is Sammy? C. Ted's age is twice Sammy's age decreased by 10 years. Ted is 56 years old. How old is Sammy? D. Ted's age is 10 less than twice Sammy's age. Sammy is 56 years old. How old is Ted?
Answer:
I'll try here: 23
Step-by-step explanation:
X = Sam's age.
X-10 = Ted's age
X + X -10 = 56
2X -10 =56
2x = 66
X = 33 , Sam's age
33 - 10 = 23 Ted's age
you have 345321 dogs, 928822 pigs,and 1873652 cats. how many dogs do you have
Answer:345321
Step-by-step explanation:
you said it?
suppose that10% of people are left handed. if7people are selected at random, what is the probability thatexactly 2 of them are left handed?
Given that 10% of people are left-handed, the likelihood that there will be exactly 2 left-handed individuals is 0.098415. if a random selection of 7 people is made.
what is percentage ?10%, a comparative figure denoting one hundredth of any quantity. One percent (symbolized as 1%), being the hundredth component, is represented as 100 percent, while 200 percent signifies twice the amount specified. percentage. Math percentile is a related topic.
As a result:
10% of people identify as left-handed.
P(left-handed) = 0.1 is the probability of success.
Selection number (n) equals six
The number of left hands in the selection (x) is precisely 2 P(6, 2) = 6C2 * 0.1 * (1 - 0.1) (6-2)
P(6, 2) = 15 * 0.01 * 0.6561\P(6, 2)
= 0.098415
Given that 10% of people are left-handed, the likelihood that there will be exactly 2 left-handed individuals is 0.098415. if a random selection of 7 people is made.
To know more about percentage visit :-
https://brainly.com/question/29306119
#SPJ4
Which system of inequality is represented on the graph?
By solving linear inequation, it can be calculated that
The system of linear inequation represented by the graph is
x - y ≥ -8
3x + y ≥ -8
What is linear inequation?
Inequation shows the comparison between two algebraic expressions by connecting the two algebraic expressions by >,<, ≥, ≤
A one degree inequation is known as linear inequation.
Here,
One line passes through (0, 8) and (-1, 7)
Slope of the line = [tex]\frac{7-8}{-1-0}[/tex] = 1
Equation of line
y - 8 = 1(x - 0)
y - 8 = x
x - y = -8
Other line passes through (-4, 4) and (-3, 1)
Slope of the line = [tex]\frac{1-4}{-3-(-4)}[/tex] = -3
Equation of line
y - 4 = -3(x - (-4))
y - 4 = -3x - 12
3x + y = 4 - 12
3x + y = -8
Now the lines are solid lines
So equality is maintained
(0, 0) is inside the shaded region
So the system of linear inequation represented by the graph is
x - y ≥ -8
3x + y ≥ -8
To learn more about linear inequation, refer to the link-
https://brainly.com/question/24372553
#SPJ1
If ur good at geometry can u help Solve for m given that the perimeter of the triangle is 19 centimeters.
Answer:
m = 7
Step-by-step explanation:
6 + 6 + 7 = 19.
You're welcome.
please help
its just 7th grade math Im bad at math
Answer:
B
Step-by-step explanation:
since it is already finalized that 200 lbs worth of computers have been loaded onto the truck, that will be a number by itself in the equation. However, the number of boxes of books is not finalized, and the question is asking you to create an inequality that may help find the amount of full boxes that can be loaded onto the truck without exceeding the weight limit of 1400 lbs.
hope this helps!!! :3
pls help ASAP! thank you in advance :)
The features of each function shown on Cartesian plane:
Function 1: Domain: 2 ≤ x < 3, Range: 1 < y ≤ 3, y = - 2 · x + 7
Function 2: Domain: - 4 ≤ x < 4, Range: - 4 ≤ y < - 2, y = (5 / 9) · x² - 2
How to determine the domain and range of a function
In this question we must the determine the domain and the range of each of two functions. The set of elements for the domain corresponds to the horizontal axis of the Cartesian plane, represented by variable x, while the vertical axis corresponds to the vertical axis of that plane, represented by variable y.
Now we proceed to determine the domain and the range of each function:
Function 1
Domain: 2 ≤ x < 3, Range: 1 < y ≤ 3
The definition of the function is:
3 = 2 · m + b
2 = 2.5 · m + b
(m, b) = (- 2, 7)
y = - 2 · x + 7
Function 2
Domain: - 4 ≤ x < 4, Range: - 4 ≤ y < - 2
The definition of the function is:
y + 2 = C · x²
3 + 2 = C · 3²
5 = 9 · C
C = 5 / 9
y + 2 = (5 / 9) · x²
y = (5 / 9) · x² - 2
To learn more on domain and range of functions: https://brainly.com/question/28135761
#SPJ1
URGENT! Complete the proof that m
Images below. Match the answers/statements to the number options above..
Put the reasons for lines 1 through 6 in order below.
The two column proof to show that m∠G + m∠K + m∠GHK = 180° is as detailed below.
How to carry out the two column proof?A two-column proof is basically a geometric proof that consists of a list of statements, and the reasons for which those statements are true. The two column proof in this regard are;
Statement 1: GH║HJ
Reason 1: Given
Statement 2: ∠G ≅ ∠IHJ
Reason 2: Corresponding angles theorem
Statement 3: ∠K ≅ ∠JHK
Reason 3: Alternate Interior angles theorem
Statement 4: m∠IHK ≅ M∠IHJ + m∠JHK
Reason 4: Additive property of angle measure
Statement 5: m∠IHK ≅ m∠G + m∠K
Reason 5: Substitution property
Statement 6: m∠IHK + m∠GHK = 180°
Reason 6: Angles forming a linear pair sum to 180°
Statement 7: m∠G + m∠K + m∠GHK = 180°
Reason 7: Substitution
Read more about Two Column proof at; https://brainly.com/question/1788884
#SPJ1
A company has a monthly time series that regularly shows sales being higher in the summer months. This is an example of which component?.
This is an example of a seasonal component in a time series. A seasonal component refers to regular, predictable patterns that are associated with the time of year, such as increased sales during the summer months.
What are the different components in sales?Selling products or services to clients in exchange for cash or other types of payment is known as ale. The sales process consists of a number of elements, such as:
Product: The items or services being sold are referred to here. A corporation must have a comprehensive grasp of its product offerings and how they fit the demands of its target market.
Price: The sum of money that a consumer must fork over in order to purchase the item or service. Price should be set to maximise profit while maintaining market competitiveness.
Locations where higher the good or service is sold are referred to here as "place." Physical storefronts, internet marketplaces, or a network of distributors may all fall under this category.
To learn more about different components in sales, visit:
https://brainly.com/question/14570921
#SPJ4
In the order of operations, the absolute value sign is considered to be at which level?
Answer:
Note that with embedded parentheses (parentheses within parenthesis), you always perform operations inside out; do the math on the inside before the outside. Note that if you have an absolute value | | sign which means take the positive value only of a number inside.
Answer: Absolute Value is the first level.
Step-by-step explanation:
2 |-10|
2 * 10
20
5% of what number is 9?
Answer:
180
Explanation:
5% of x = 9
9 × 100 = 900
900 ÷ 5 = 180
So,
5% of 180 = 9
5Answer:
45
Step-by-step explanation:
9x0.5=4.5
If x + y = 7 and x - y = 9, find the product of x and y.
Answer:
x=8
y=-1
Step-by-step explanation:
PLEASE HELP ASAP!!!!
Answer:
Lie #3
b^6 is not b^8
Step-by-step explanation:
All the problems use the quotient rule of exponents, which says that you subtract the exponents when dividing by the same base.
If we plug in 2 for x on #3, we have
[tex]\frac{b^8}{b^2}=b^(^8^-^2^)=b^6\\ b^6\neq b^8[/tex]
Furthermore, x would need to be 0 to make #3 true since 8-0 = 8
Mr. Johnson wants to use the interest from his High Savings Account to buy his next TV. The TV will cost $900. He would like his investment to grow over for two and a half years. If he has a rate of 3.5%, how much will he need to invest in order to cover the cost of the TV?
now, we're assuming the rate of 3.5% is for a simple interest account, so
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$900\\ P=\textit{original amount deposited}\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ t=years\dotfill &2.5 \end{cases} \\\\\\ 900=P[1+(0.035)(2.5)] \implies 900=P(1.0875) \\\\\\ \cfrac{900}{1.0875}=P\implies 827.59\approx P[/tex]
the triangle has a perimeter of 65 feet. what system of equation to use for the perimeter equals 65 feet? l= 1/3m, m, and n=l+m-15
Answer:
l = 10 feet
m = 30 feet
n = 25 feet
Total Perimeter = 65 feet
Step-by-step explanation:
The perimeter of a trianlge is the sum of its three sides, and in this case is equal to 65 feet.
65 feet = l + m + n
l + m + n = 65
We also know that:
l = (1/3)m, and
n = l+m-15
Substitute these definitions of l and n into the original equation:
l + m + n = 65
[(1/3)m] + m + [l+m-15] = 65
[(1/3)m] + m + [[(1/3)m]+m-15] = 65
Simplify:
(1/3)m + m + (1/3)m + m - 15 = 65
2m + (2/3)m = 80
(6/3)m + (2/3)m = 80
(8/3)m = 80
m = 80*(3/8)
m = (10)*(3)
m = 30 feet
Since l = (1/3)m, l = 10 feet
Since n = l+m-15, n = 10 + 30 - 15, or 25 feet
The three sides are
l: 10 feet
m: 30 feet
n: 25 feet
Total = 65 feet
Khadia raie bee and ell honey. He give a dicount to hi neighbor. The table how price of ,n of buying honey that ha a regular price of r dollar
The equation for the relationship between the regular price (r) and the neighbor's price (n) will be r - n = 250.
What are equations?A mathematical expression with an equals sign is referred to as an equation.
Algebra is widely used in equations.
When performing calculations but unsure of the precise number, algebra is used.
Linear equations: Any equation that can be expressed as ax + by + c = 0, where a, b, and c are all real numbers and a and b are not equal to zero.
In light of the posed query.
Khalid keeps bees and sells honey from them.
Additionally, n stands for the neighbor's honey price in dollars and r stands for the ordinary honey price in dollars.
We can determine the discount from the provided information.
7 - 4.50 = 2.50
8 - 5.50 = 2.50
10 - 7.50 = 2.50
12 - 9.50 = 2.50
Khalid gives his neighbor $2.50.
The equation for the link between the regular price r and the neighbor's price n will therefore be: r - n = 250
Therefore, the equation for the relationship between the regular price (r) and the neighbor's price (n) will be r - n = 250.
Know more about equations here:
https://brainly.com/question/28937794
#SPJ4
Complete question:
Khalid raises bees and sells the honey. He gives a discount to his neighbors. The table shows the neighbors' price, n, of buying honey that has a regular price of r dollars. Write an equation that represents the relationship. I put two pictures below to help. :)
Answer: r - n = 2.5
Step-by-step explanation: Took Quiz
determine the measure of each missing angle in the triangle! HELPPP PLEASSEEEE!!!
3. Beth finished 40% of her weekly biking workout. She has traveled 24 miles. How long is her
workout for the entire week?
Answer:
I think you times both numbers
Step-by-step explanation:
time both number s
Rachel van Dressler earns 3% commission on all sales. What was her total sales amount if she earns a commission of $3652
Van Dressler's total sales amount is $12,166.6666667
What is sales amount ?
A sale is a deal in which two or more parties exchange goods or services for cash or other assets. A sale in the financial markets is an arrangement between a buyer and a seller that covers the cost of a security and its delivery for predetermined payment.Before any expenditures are taken into account, revenue is the whole amount of income that a business earns from its main operations. Sales are the money that a business makes through offering its clients products or services.
3% = $365
365/3*100 =$12,166.6666667
To learn more about sales amount visit
https://brainly.com/question/29181625
#SPJ1
What is the solution to the system of equations?
2x+6y=-28
x + 3y = -14
Because when two linear equations graph this very same line, a system of two linear simultaneous equations variables cannot be solved.
What in mathematics is a linear equation?A linear equation seems to be an algebraic equation of something like the form y=mx+b, where m is the slope as well as b is the y-intercept, and only a constant and an initial-order (linear) component are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Briefing:2x+6y=-28 (i)
x + 3y = -14 (ii)
Subtract 3y from both sides of the equation(ii)
[tex]\begin{matrix}&x=-14-3y\\&2x+6y=-28\\\end{matrix}[/tex]
Replace all occurrences of x with -14-3y in each equation.
Replace all occurrences of x in 2x+6y=-28 with -14-3y.
[tex]\begin{matrix}&2(-14-3y)+6y=-28\\&x=-14-3y\\\end{matrix}[/tex]
Simplify the left side.
Simplify 2(-14-3y)+6y.
[tex]\begin{matrix}&\ -28=-28\\&x=-14-3y\\\end{matrix}[/tex]
Remove any equations from the system that are always true.
[tex]x=-14-3 y[/tex]
there is no solution for the given equation.
To know more about linear equations visit:
https://brainly.com/question/29739212
#SPJ1
Evaluate 10.2x + 9.4y when x = and y = 3
The expression 10.2x + 9.4y when x = and y = 3 is 38. 4
What is an algebraic expression?An algebraic expression can be defined as an expression that is composed of terms, constants, coefficients, variables and factors.
These algebraic expressions are also made up of mathematical operations such as;
DivisionAdditionSubtractionParenthesesMultiplicationBracket. etcFrom the information given, we have the algebraic expression;
10.2x + 9.4y
Now, let's substitute the values of x as 1 and y as 3 into the expression, we have;
10.2(1) + 9.4(3)
expand the bracket
10. 2 + 28. 2
Add the values
38.4
Hence, the value is 38.4
Learn more about algebraic expressions here:
https://brainly.com/question/4344214
#SPJ1
given that 2p x 8q = 2n , express n in terms of p and q
Answer:
n = p+3q
Step-by-step explanation:
2^p x 8^q = 2^n
Exponent rules
Rewriting 8 as 2^3
2^p x 2^3^q = 2^n
Using the rule a^b^c = a^(b*c)
2^p x 2^3q = 2^n
Using the rule a^b * a^c = a^(b+c)
2 ^(p+3q) = 2^n
Since the bases are the same, the exponents are the same
p+3q = n
Answer:
[tex] \sf \: p + 3q = n[/tex]
Step-by-step explanation:
[tex]2^p*8^q=2^n[/tex]
First, write 8^q as a power of 2.
[tex]2^p*8^q=2^n\\2^p*2^3^q=2^n[/tex]
As all the bases are same, exponents are also equal.
Now add the powers.
∴ p + 3q = n