Answers
Answer:
XY = 74
Step-by-step explanation:
Using the information given, plug it into the perimeter formula [P=2(l)+2(w)]
90 = 2 (5y - 1) + 2 (4y + 1)
Distribute
90 = 10y - 2 + 8y + 2
Combine like-terms
90 = 18y
Isolate the variable
y = 15
Then, plug it into XY
5 (15) - 1
Multiply
75 - 1
Combine
74
Answer:
XY = 24
Step-by-step explanation:
The perimeter of the rectangle is
2(5y - 1) + 2(4y + 1) = 90 ← distribute parenthesis on left side
10y - 2 + 8y + 2 = 90
18y = 90 ( divide both sides by 18 )
y = 5
XY = 5y - 1 = (5 × 5) - 1 = 25 - 1 = 24
Related Questions
Write the scientific notation in numerals. 6.4 x 107
Answers
Hey!
-------------------------------------------------
Writing scientific notation in numeral is solving for the equation.
Multiply 10 to 6.4 seven times.
6.4 x 10 = 64
64 x 10 = 640
640 x 10 = 6,400
6,400 x 10 = 64,000
64,000 x 10 = 640,000
640,000 x 10 = 6,400,000
6,400,000 x 10 = 64,000,000
-------------------------------------------------
Hope This Helped! Good Luck!
Answer:
64,000,000
Step-by-step explanation:
WILL GIVE BRANLY Which Union general was fired from his job after the Battle of Antietam? A Lee B Scott C Sherman D McClellan
Answers
Answer: George McClellan did
Step-by-step explanation:
Answer:
D McClellan
Step-by-step explanation:
In 1862, president Abraham Lincoln decided to relieve General George McClellan of his command after the Battle of Antietam. The reason is McClellan was unable to concentrate his forces effectively, so the Confederate army shifted his defenders to block each of three Union thrusts. Besides, he was unable to employ his large reserved forces to ensure success.
Which is not a characteristic of the absolute value parent function
Answers
Answer:
As of 2021, for this question, the answer is "The range is positive real numbers (y>0)
Step-by-step explanation:
Hope this helps somebody!
The range is all real numbers is not a characteristic of the absolute value parent function.
What is the absolute value parent function?The absolute value function is defined by f(x)=|x|.This is the absolute value parent function.The absolute value parent function has a characteristic that it goes through the origin.The absolute value parent function has also characteristics that the domain is all real numbers.The absolute value parent function is having its graph V-shaped.Hence, the option which is not a characteristic of the absolute value parent function is The range is all real numbers.
Therefore, Option A is the correct answer.
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Given the following parametric equations, determine the coordinates of
the curve when t=60°.
x=2t
y= -3t
Show all work.
Answers
Answer:
[tex](120\degree,-180\degree)[/tex]
Step-by-step explanation:
The given parametric equation is
x=2t
y= -3t
The coordinates of any point lying on this curve can be obtained by substituting the parameter value.
Given the parameter value, t=60
We have
[tex]x=2(60\degree)=120\degree[/tex]
and
[tex]y=-3(60)=-180\degree[/tex]
Therefore the point[tex](120\degree,-180\degree)[/tex]
lie on this parametric curve.
Which algebraic expression is a trinomial? x3 + x2 – 2x3 – x2 4x3 + x2 – x6 – x +
Answers
The only trinomial among the four expressions is x^6 −x+ √6 .
A trinomial is an algebraic expression with three terms, each containing a power of the variable raised to a non-negative integer and multiplied by a coefficient.
Let's analyze each expression:
x^3 + x^2 - √x: This has three terms (x^3, x^2, and -√x), but √x contains a fractional exponent, which is not allowed in a polynomial (and therefore, a trinomial). So, it's not a trinomial.
2x^3 - x^2: This has two terms (2x^3 and -x^2), not three. Therefore, it's not a trinomial.
4x^3 + x^2 - 1/x: This has three terms (4x^3, x^2, and -1/x), but 1/x is equivalent to x^-1, which is a negative exponent.
Similarly to option 1, this violates the non-negative integer exponent requirement for polynomials. So, it's not a trinomial.
x^6 - x + √6: This has three terms (x^6, -x, and √6). Note that √6 does not contain a variable and can be considered a constant, satisfying the polynomial and trinomial requirements. Therefore, this is a trinomial.
In, the only trinomial among the given options is: 4. x^6 - x + √6 .
The trinomial expression is C. [tex]\(4x^3 + x^2 - \frac{1}{x}\).[/tex]
A trinomial is an algebraic expression consisting of three terms. Let's examine each option:
a. [tex]\(x^3 + x^2 - \sqrt{x}\)[/tex] - This is a polynomial expression, but it only has two terms, so it's not a trinomial.
b. [tex]\(2x^3 - x^2\)[/tex] - This expression has two terms, so it's not a trinomial.
c. [tex]\(4x^3 + x^2 - \frac{1}{x}\)[/tex] - This expression has three terms, so it is a trinomial.
d. [tex]\(x^6 - x + \sqrt{6}\)[/tex] - This expression also has only three terms, so it is a trinomial.
So, the correct answer is:
C. [tex]\(4x^3 + x^2 - \frac{1}{x}\)[/tex]
Complete Question:
Which algebraic expression is a trinomial?
a. [tex]$x^3+x^2-\sqrt{x}$[/tex]
b. [tex]$2 x^3-x^2$[/tex]
c. [tex]$4 x^3+x^2-\frac{1}{x}$[/tex]
d. [tex]$x^6-x+\sqrt{6}$[/tex]
mia spins the spinner two times. what is the probability that the arrow will land on 2 both times
Answers
Answer
how many sides are there to the spinner?
Step-by-step explanation:
i need to knowhow many there are in order to give you a probibility
Solve: 6 + 2g > 10 plz answer I need to finish my home work before tomorrow
Answers
Answer:
G > 2
Step-by-step explanation:
Answer:
6+2g >10
6-6+2g>10-6
2g>4
divide by 2
2g/2> 4/2
g>2
Answer is g>2
Dilbert and Donna had a combined gross income of $227,300 in 2009. When filing their federal income tax return with the Married Filing Jointly filing status, they took the standard deduction of $11,400, claimed themselves as exemptions for $3650 each, and did not have any other adjustments to income. According to the following table, which income tax bracket did they fall into?
Answers
The income tax bracket fall into 28%.
What is the income tax?Income tax is a type of tax that governments impose on income generated by businesses and individuals within their jurisdiction. Income tax is used to fund public services, pay government obligations, and provide goods for citizens.What is income tax with example?Taxes levied on the earnings of companies and individuals are referred to as income taxes. Earnings subject to income taxes can come from diverse sources, including wages, salaries, dividends, interest, royalties, rents, gambling winnings, and product sales.
Why is income tax a thing?The purpose of the income tax was to make up for revenue that would be lost by tariff reductions. The US Supreme Court ruled the income tax unconstitutional, the 10th amendment forbidding any powers not expressed in the US Constitution, and there being no power to impose any other than a direct tax by apportionment.What are the types of income tax?Wealth Tax. If you want to know about the different types of income tax, start with the wealth tax. Corporate Tax. As per the IT Act of 1961, national as well as international corporate organisations are also required to pay corporate tax. Capital Gains Tax.
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What is the area of a sector with a central angle of (2pi/3) radians and a diameter of 12 in?
Answers
Answer:
The area of the sector is [tex]37.68\ in^{2}[/tex]
Step-by-step explanation:
step 1
Find the area of the circle
The area of the circle is equal to
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=12/2=6\ in[/tex] ----> the radius is half the diameter
substitute
[tex]A=(3.14)(6)^{2}[/tex]
[tex]A=113.04\ in^{2}[/tex]
step 2
Find the area of a sector with a central angle of (2pi/3)
Remember that
The area of [tex]113.04\ in^{2}[/tex] subtends a central angle of [tex]2\pi \ radians[/tex]
so
by proportion
Let
x----> the area of the sector
[tex]\frac{2\pi}{113.04}=\frac{(2\pi/3)}{x}\\ \\x=113.04*(2\pi/3)/(2\pi)\\ \\x=37.68\ in^{2}[/tex]
find the perimeter of a rectangle whose length is 21 feet and whose width is 15
Answers
2*(l+b)
So,
2*(21+15)
2*36
=72
Answer:
Perimeter of rectangle is 72 feet.
Step-by-step explanation:
We need to find the perimeter of rectangle where
Length = 21 feet
Width = 15 feet are given.
The formula used will be: Perimeter of rectangle = 2(Length + Width)
So, Perimeter of rectangle is:
Perimeter of rectangle = 2(Length + Width)
= 2 ( 21+15)
= 2(36)
= 72 feet.
So, perimeter of rectangle is 72 feet.
Someone please me out
Answers
Answer:
3.6
Step-by-step explanation:
For the 20-deg angle, x is the opposite leg, and 10 cm is the adjacent leg. The trig ratio that relates the opposite leg to the adjacent leg is the tangent.
[tex] \tan A = \dfrac{opp}{adj} [/tex]
[tex] \tan 20^\circ = \dfrac{x}{10~cm} [/tex]
[tex] x = (10~cm)\tan 20^\circ [/tex]
[tex] x = 3.6~cm [/tex]
Marc baked brownies in the brownie pan shown below. Each day, he is going to eat 20 square centimeters of brownie from the pan.
For how many days does Marc have brownies before they run out?
The shape is a trapezoid with the top part being 29 cm in length, and the bottom being 41 cm in length. The height is 20 cm.
Answers
Answer:
[tex]35\ days[/tex]
Step-by-step explanation:
step 1
Find the area of the trapezoid (brownie pan)
[tex]A=\frac{1}{2}(29+41)20=700\ cm^{2}[/tex]
step 2
To find the number of days , divide the area of the brownie pan by 20 square centimeters of brownie
[tex]\frac{700}{20}=35\ days[/tex]
A right rectangular prism has a length of 6 centimeters, a width of 2 centimeters, and a height of 5 centimeters. What is the surface area of the prism? Enter your answer in the box. cm²
Answers
For this case we have that by definition, the total surface area of a right prism is given by:[tex]SA = ph + 2B[/tex]
Where:
p: Perimeter of the base
h: It's the height
B: It is the area of the base
So:
[tex]B = 6 * 2\\B = 12 \ cm ^ 2\\p = 6 + 6 + 2 + 2 = 16 \ cm[/tex]
So, we have:
[tex]SA = 16 * 5 + 2 (12)\\SA = 80 + 24\\SA = 104 \ cm ^ 2[/tex]
Answer:[tex]104 \ cm ^ 2[/tex]
for the spinner above the probability of landing on black is 1/2 and the probability of landing on red is 1/3 supposed it is spun three times. what is the probability it will land on the black all three times
Answers
Answer:
[tex]\frac{1}{8}[/tex]
Step-by-step explanation:
P(Black) = [tex]\frac{1}{2}[/tex]
[tex]\frac{1}{2}*\frac{1}{2}*\frac{1}{2}=\frac{1}{8}[/tex]
P(Black 3/3) = [tex]\frac{1}{8}[/tex]
The probability it will land on the black all three times out of three spins is 1/8.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Given the probability of the spinner landing on black is 1/2. Therefore, the probability it will land on the black all three times out of three spins is,
Probability = (1/2) × (1/2) × (1/2) = 1/8
Hence, the probability it will land on the black all three times out of three spins is 1/8.
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according to the rational root theron what are all the potential roots of f(x)=9x^4-2x^2-3x+4
Answers
Answer:
Potential roots: [tex]\frac{9}{4},\frac{9}{2},9,\frac{3}{4},\frac{3}{2},3, \frac{1}{4},\frac{1}{2},1[/tex]
Step-by-step explanation:
Simply put, the rational roots theorem tells us that if there are any rational roots of a polynomial function, they must be in the form
± [tex]\frac{FactorsOfa_{0}}{FactorsOfa_n}[/tex]
Where
a_n is the number before the highest power of the polynomial, and
a_0 is the constant in the polynomial
From the polynomial shown, we have a_n = 9 and a_0 = 4
The factors of 9 are 9, 3, 1
and
The factors of 4 are 4,2,1
So, if there are any rational roots, they would be:
± [tex]\frac{FactorsOfa_{0}}{FactorsOfa_n}[/tex]
± [tex]\frac{9,3,1}{4,2,1}[/tex]
Which is ± 9/4, 9/2, 9/1, 3/4, 3/2, 3/1, 1/4, 1/2, 1/1
or
[tex]\frac{9}{4},\frac{9}{2},9,\frac{3}{4},\frac{3}{2},3, \frac{1}{4},\frac{1}{2},1[/tex]
Using the Rational Root Theorem, the polynomial f(x) = 9x^4 - 2x^2 - 3x + 4 has potential rational roots which are ±4, ±2, ±1, and their counterparts divided by 3. In the complex number system, every nth-order polynomial can be factored into n roots, including imaginary roots for equations that lack real solutions.
Explanation:Rational Root Theorem and Potential Roots
The Rational Root Theorem is a useful tool for identifying all potential rational roots of a polynomial equation. When applying this theorem to the given polynomial f(x) = 9x^4 - 2x^2 - 3x + 4, we note that the potential rational roots are the divisors of the constant term (in this case, 4) divided by the divisors of the leading coefficient (in this case, 9). Therefore, the potential roots are ±4, ±2, ±1, and their counterparts divided by 3, which are ±4/3, ±2/3, and ±1/3. To determine which of these are actual roots, each must be tested in the polynomial equation.
The concept of complex number system further elaborates on polynomials by stating that every nth-order polynomial can have up to n roots, factored into linear factors in accordance with the fundamental theorem of algebra. In the case of second-order polynomials, the real number system may not yield roots for equations like x² + 1, but in the complex number system, such polynomials do have roots and can be factored as (x - i)(x + i), for instance.
Rob has a job that pays $14.35 per hour for a 40-
hour work week. He is paid time and a half for
every hour over 40 that he works in a week. What
will his gross pay be for a week in which he works
51 hours?
$810.78
$574
$7.31.85
$1,097.78
Answers
Answer:
[tex]\boxed{\text{\$810.78}}[/tex]
Step-by-step explanation:
If regular pay = $14.35/h, then
Overtime pay = 1.5 × $14.35/h = $21.525/h
[tex]\begin{array}{rcr}\text{First 40 h at \$14.35/h}& = & \$574.00\\\text{Next 11 h at \$21.525/h} & = & 236.78\\\text{Gross pay}& = & \mathbf{\$810.78}\\\end{array}\\\\\text{Rob's gross pay for the week will be }\boxed{\textbf{\$810.78}}[/tex]
Which equations are equivalent to ? 3^3√x+4 =12 Check all that apply.
Answers
Answer:
option c
x + 4 = 64
and
option e
x = 60
Step-by-step explanation:
Given in the question an expression
3∛x+4 = 12
∛x + 4 = 12/3
∛x + 4 = 4
Take cube on both sides of the equation
∛(x + 4)³ = 4³
x + 4 = 64
x = 64 - 4
x = 60
Answer:
The third and the fifth equations are equivalent.
Step-by-step explanation:
First of all, you must find [tex]x[/tex] from [tex]3\cdot \sqrt[3]{x+4}=12[/tex] and check during the procedure what expressions from the options are equivalent.
The process is shown below:
[tex]3\cdot \sqrt[3]{x+4}=12[/tex][tex]\sqrt[3]{x+4}=\frac{12}{3}[/tex][tex]\sqrt[3]{x+4}=4[/tex][tex](\sqrt[3]{x+4})^3=(4)^3[/tex][tex]x+4=64[/tex][tex]x=64-4[/tex][tex]x=60[/tex]From step 3, it could be said that the first, the second and the fourth options ARE NOT equivalent equations because when the left side is [tex]\sqrt[3]{x+4}[/tex], the right side must be [tex]+4[/tex], and these three options don't meet the condition.
From step 5, it could be said that the third option IS an equivalent equation because it is the same expression.
From step 7, it could be said that the fifth option IS an equivalent equation because it is the same expression.
Thus, the third and the fifth equations are equivalent.
Which angle relationships are correct? Check all that apply
Answers
Answer:
∠1 and ∠8 are alternate exterior angles
∠4 and ∠6 are same side interior angles
∠3 and ∠6 are alternate interior angles
Step-by-step explanation:
Verify each case
case 1) ∠1 and ∠8 are alternate exterior angles
The relationship is correct
case 2) ∠4 and ∠6 are same side interior angles
The relationship is correct
case 3) ∠5 and ∠7 are vertical angles
The relationship is incorrect
Because ∠5 and ∠7 are supplementary angles
case 4) ∠2 and ∠8 are corresponding angles
The relationship is incorrect
case 5) ∠3 and ∠6 are alternate interior angles
The relationship is correct
Answer:
A) ∠1 and ∠8 are alternate exterior angles
B) ∠4 and ∠6 are same side interior angles
E) ∠3 and ∠6 are alternate interior angles
Step-by-step explanation:
Let's check the each options.
A) ∠1 and ∠8 are alternate exterior angles
The exterior angles are ∠1, ∠2, ∠7 and ∠8.
This is correct.
B) ∠4 and ∠6 are same side interior angles.
∠4 and ∠6 are inside the line m and n, they are in the same side, you can see it on the figure.
This is correct
C) ∠5 and ∠7 are vertical angles
∠5 and ∠7 are supplementary angles.
This is not correct.
D) ∠2 and ∠8 are corresponding angles
These are same side of exterior angles.
This is not correct.
E) ∠3 and ∠6 are alternate interior angles
These are interior angles and alternative to each other.
This is correct.
X/2=1.2
Solve for x and check.
Answers
Answer: X = 2.4
Step-by-step explanation:
The first step should be to isolate x or get x alone. This means we should get rid of the divided by 2 on the left by multiplying both sides by 2. This would get us to 2 * X/2 = 1.2 * 2. The multiplying X/2 would simplify to just X, and the 1.2 * 2 = 2.4. Therefore the final equation would become X = 2.4.
To check, you would plug in 2.4 into where X is in X/2 = 1.2. Since 2.4/2 = 1.2, we know that X = 1.2 from checking.
x = 2.4
You want to get x by itself, so you need to get rid of the division on the left side of the equals sign. The way to undo division is to multiply. So, multiply both sides of the equation by 2. This gives you x = 2.4, so now you have your answer.
Now, since the problem wants us to check our answer, we just put 2.4 back into the equation as x. This gives us 2.4 / 2 = 1.2. Now, we just simplify to see if the equation is true. If it is true, the answer is correct. 2.4 divided by 2 is 1.2, so 1.2 = 1.2, which means our answer is correct.
Find x
ok so i just need a quick answer and thx to ever responds to this
Answers
Answer:
ti guarantee it is 45 degree
Step-by-step explanation:
first the opposite angle of 39 will be 39
then 39 plus 42 is 81. a triangle is 180 so the third angle is 99.
so since supplementary angles also equal to 180 the other side is 81.
same with 126 the other side is 54.
now the triangle where x is we have found 2 angles 81 and 54 so the last one will be... drumroll... 45 since a triangle equals tk 180 degree.
Answer:
Step-by-step explanation:
45
how to find the cosine of 81 in terms of sine?
Answers
Answer:
Step-by-step explanation:
The cosine of angle Ф is √(1 - sin²Ф), which is positive if our angle 81 degrees is in Quadrant I.
sin 81° = 0.9877, so (sin 81°)² = 0.9755, and
cos 81° = 1 - 0.9755 = 0.0245
To find the cosine of 81 degrees in terms of sine, we use the identity cos(Ф) = sin(90° - Ф), giving us cos(81°) = sin(9°).
To find the cosine of 81 degrees in terms of sine, we use the trigonometric identity that relates sine and cosine for complementary angles. The cosine of 81 degrees is the same as the sine of 9 degrees, because 81 and 9 add up to 90 degrees. The trigonometric identity is cos(Ф) = sin(90° - Ф).
Using this identity:
cos(81°) = sin(90° - 81°)
= sin(9°).
Therefore, the cosine of 81 degrees is equal to the sine of 9 degrees.
What is the difference? X/x^2-16 minus 3/x-4
Answers
Answer:
[tex]\frac{-2x-12}{x^2-16}[/tex]
Step-by-step explanation:
We want to find the difference;
[tex]\frac{x}{x^2-16}-\frac{3}{x-4}[/tex]
The first denominator can be rewritten as;
[tex]x^2-16=(x+4)(x-4)[/tex]
Therefore the least common denominator is [tex]x^2-16[/tex]
We collect LCD to obtain;
[tex]\frac{x-3(x+4)}{x^2-16}[/tex]
Expand the parenthesis to obtain;
[tex]\frac{x-3x-12}{x^2-16}[/tex]
[tex]\frac{-2x-12}{x^2-16}[/tex]
Answer:
b
Step-by-step explanation:
Help me solve this please
Answers
The side across angle 18 is the opposite side. The perpendicular angle that touches the same line is adjacent. To figure out the length of JL, we need to use the measurement 34.6 mm (hypotenuse). So in this equation we will use hypotenuse to find opposite. Hypotenuse and opposite result in Sin on the calculator. So on the calculator, you would find the Sin of 18 and then multiply that number by 34.6. The answer would then be 10.7 (rounded).
Answer: 10.7 mm (rounded)
Answer:
JL ≈ 10.7 mm
Step-by-step explanation:
Using the sine ratio in the right triangle
sin18° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{JL}{34.6}[/tex]
Multiply both sides by 34.6
34.6 × sin18° = JL, hence
JL ≈ 10.7 ( to 1 dec. place )
Evaluate the function f(p) = p2 + 3p + 1 for p = -2.
Answers
Answer:
- 1
Step-by-step explanation:
To evaluate substitute p = - 2 into f(p)
f(- 2) = (- 2)² + 3(- 2) + 1 = 4 - 6 + 1 = - 1
The answer should be -1
I need the answerssssss ASAPPPP!!!
Answers
Answer: Town 1- 5.42%, Town 4- 5.86%, Town 3- 6.63%, Town 2- 7.11%
Step-by-step explanation:
Download the app PhotoStudy it’s helpful
Find the measure of the indicated arc in the circle
Answers
Answer:
fd akkkkcm
Step-by-step explanation:
The measure of arc CB is 236°.
find the measure of the indicated arc in circle O.
Given information:
-[tex]\(m\angle DOC = 44°\)[/tex]
- [tex]\(m\angle COB = 80°\)[/tex]
We want to find the measure of arc CB.
1. Calculate the central angle containing arc CB:
- The sum of the central angles [tex]\(m\angle DOC\) and \(m\angle COB\)[/tex]gives the measure of the entire circle.
- Total degrees in a circle = 360°
- Central angle containing arc CB = [tex]\(m\angle DOC + m\angle COB\)[/tex]
[tex]\[m\angle DOC + m\angle COB = 44° + 80° = 124°\][/tex]
2. Find the measure of arc CB:
- Subtract the central angle from 360° to get the measure of arc CB.
[tex]\[m\text{ arc CB} = 360° - 124° = 236°\][/tex]
Therefore, the measure of arc CB is 236°.
What is the first step in solving this system of equations by elimination?
2x – 2y = 5
5x + 2y = 9
A. Subtract the two equations.
B. Add the two equations.
C. Solve for y.
D. Multiply each equation by 2. Please select the best answer from the choices provided
Answers
Answer:
B. Add the two equations.
Step-by-step explanation:
Lets solve our system of equations step-by-step
Step 1. Add the two equations
2x – 2y = 5 +
5x + 2y = 9
----------------
7x = 14
Step 2. Solve for x in the resulting equation
7x = 14
[tex]x=\frac{14}{7}[/tex]
x = 2
Step 3. Replace the value of x in any of the original equations
2x – 2y = 5
2(2) – 2y = 5
4 – 2y = 5
-2y = 5 - 4
-2y = 1
[tex]y=-\frac{1}{2}[/tex]
We can conclude that the correct answer is: B. Add the two equations.
Two cab rides cost the same amount for the same number of miles, m. Which situation can be represented by the equation 2.50 + 0.50m = 1.00 + 0.75m?
Answers
Answer:
If the number of miles is 6
Step-by-step explanation:
Since they vary with different rates ($/mile in our case), such equality can only be true for a specific amount of miles. Less miles and the left part ($2.50...) would be higher, more miles and the right part ($1.00...) would be higher because it grows faster.
So, that's the number of miles for which the equation is true?
2.50 + 0.50m = 1.00 + 0.75m
Let's regroup similar terms:
1.50 = 0.25m
the isolate m
m = 6
So, if the ride covers 6 miles, the equation is true:
2.5 + 0.5 (6) = 1.00 + 0.75 (6)
2.5 + 3 = 1 + 4.50
5.5 = 5.5
Answer:
One cab charges an initial fee of $2.50 and then $0.50 for every mile. The other cab company charges an initial fee of $1.00 and then $0.75 for every mile.
Step-by-step explanation:
Can someone help me please
Answers
Answer: x=54
Step-by-step explanation:
When you add up all of the sides that have to equal 360 degrees. so, the first thing that you would do is 72+72. You would do that because there are actually 2 72 in the rhombus. That equals 144. then you would do 360-144. That equals 216. Then you would do 216/4. You would do 216/4 because there are actually 4 x in the rhombus. After you divide 216/4 it equals 54. to check your work you would do 54+54+54+54+72+72. That equals 360. So the value of x = 54 degrees.
can you just measure r and times that by 72
At the end of each year, Carl and Linda Munson will deposit $2,100 into a 401k retirement account.
Find the amount they will have accumulated in 10 years if funds earn 8% per year.
Answers
Final answer:
To find the amount Carl and Linda Munson will have accumulated in 10 years, you can use the formula for compound interest. Plugging in the given values, their 401k retirement account will have approximately $3,639.48 after 10 years.
Explanation:
To find the amount Carl and Linda Munson will have accumulated in 10 years, we can use the formula for compound interest:
A = P(1+r)^n
Where:
A = amount accumulated after n years
P = principal amount
r = interest rate (in decimal form)
n = number of years
Using the given information, P = $2,100, r = 8% (or 0.08), and n = 10. Plugging these values into the formula:
A = $2,100(1+0.08)^10
Simplifying the expression:
A = $2,100(1.08)^10
Calculating the value:
A ≈ $3,639.48
Therefore, Carl and Linda Munson will have approximately $3,639.48 accumulated in their 401k retirement account after 10 years.