Answer:
I believe the answer is 255 miles.
Suppose your friend's parents invest $20,000 in an account paying 6% compounded annually. What will the balance be after 6 years?
Answer:
28,370.38
Step-by-step explanation:
If accumulated but not compounded
.06 * 20,000 = 1200 per year
1200 * 6 = 7200 total interest
7200 + 20,000 = 27,200
If compounded annually
20,000 * 1.06^6 = 20,000*1.4185 = 28,370.38
just an addtion to the reply above.
[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 &\$20000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &6 \end{cases} \\\\\\ A=20000\left(1+\frac{0.06}{1}\right)^{1\cdot 6}\implies A=20000(1.06)^6\implies A\approx 28370.38[/tex]
urgent!!!!!!
in an oblique triangle two sides measure 6cm and 12 cm and the angle across from the side that is 12cm in length measures 58°. to the nearest whole, what are the measures of the other two angles
Answer:
25° and 97°
Step-by-step explanation:
Oblique triangle : any triangle that is not a right triangle
Use the sine rule to find one of the unknown interior angles:
[tex]\dfrac{sin(A)}{a}=\dfrac{sin(B)}{b}=\dfrac{sin(C)}{c}[/tex]
where A, B and C are the interior angles of a triangle, and a, b and c are the sides opposite to the interior angles.
[tex]\implies \dfrac{sin(58)}{12}=\dfrac{sin(B)}{6}[/tex]
[tex]\implies sin(B)=\dfrac{6sin(58)}{12}=0.4240240481...[/tex]
[tex]\implies sin(B)=25.08890446...=25 \textdegree \ \ \textsf{(nearest whole)}[/tex]
Sum of interior angles of a triangle = 180°
⇒ Missing angle = 180 - 58 - 25 = 97°
51 POINTS ANSWER (correctly) QUICKLY
Rectangle MPAT has vertices M(1, 2), P(1, 3), A(3, 3), and T(3, 2). Rectangle MPAT was translated 1 unit right and 2 units up to produce rectangle M'P'A'T'.
Which coordinates describe the vertices of the image?
A. M'(3, 3), P'(3, 4), A'(5, 4), and T'(5, 5)
B. M'(2, 2), P'(2, 3), A'(4, 3) , and T'(4, 2)
C. M'(1, 4), P'(1, 5), A'(3, 5) , and T'(3, 4)
D. M'(2, 4) , P'(2, 5) , A'(4, 5) , and T'(4, 4)
Answer:
D. M'(2, 4) , P'(2, 5) , A'(4, 5) , and T'(4, 4)Step-by-step explanation:
The translation rule is:
(x, y) → (x + 1, y + 2)Apply this rule to the vertices:
M(1, 2) → M'(1 + 1 = 2, 2 + 2 = 4)P(1, 3) → P'(1 + 1 = 2, 3 + 2 = 5)A(3, 3) → A'(3 + 1 = 4, 3 + 2 = 5)T(3, 2) → T'(3 + 1 = 4, 2 + 2 = 4)Correct choice is D
The admission fee at a water park is $9 for children and $15 for adults. On a certain day, 220
people entered the park, and the admission fees collected totaled $2640. How many children and
how many adults were admitted? Let x represent the number of children and y represent the
number of adults.
Total Equation:
Cost Equation:
The number of children admitted was
The number of adults admitted was
I need help badly. Please answer fast.
Answer: I think that the answer is A.
Step-by-step explanation:
Help!!,!, please
y = 2x + 4
6x – 3y = -12
And
y = 2x
-8x – 2y = 24
System by substitution
Answer:
y = 2x + 4
y = 2x + 46x – 3y = -12
y = 2x + 46x – 3y = -12And
y = 2x + 46x – 3y = -12Andy = 2x
y = 2x + 46x – 3y = -12Andy = 2x-8x – 2y = 24
Step-by-step explanation:
hope it helps you
The standard form of the number represented by the Roman numeral MXCIV is
Answer:
1094
Step-by-step explanation:
Solve for X. 4.5/x = 3/4
Answer:x = 6
Step-by-step explanation:
because each 1/4 is equal to 1.5 in this instance. Making 3 of these equal parts equal to 4.5, and all 4 of them equal to 6 (the denominator).
what is the center? what is the radius
Answer:
Center: (2/3, 0) Radius: 6
Step-by-step explanation:
I used desmos(.com) to graph the equation.
x ^ 4 + 5x - 3 even or odd
Answer:
See below.
Step-by-step explanation:
x^4+5x-3
The expression is odd. x^4 is also equal to 1x^4. 5 is odd, and 3 is odd.
-hope it helps
Answer:
The following function is f(x) = -9x 4 + 5x+3 is neither even nor odd.
Step-by-step explanation:
Because a function is said to be even if f (-x) = f (x). Then a function is said to be odd if f (-x) = -f (x). And there is your answer to those who need help with their math.
what is the missing fraction on the spinner? some1 helppp
Answer:
7/16
Step-by-step explanation:
Please answer this correctly
Thanks :)))))
Answer:
Here you go
Step-by-step explanation:
1. Equiangular triangle
2. Isosceles triangle
3. Right angle triangle
4. Scalene triangle
5. Obtuse angle triangle
6. Acute angle triangle
7. Equilateral triangle
8. corners
9. angles
10. triangle
Answer:
Step-by-step explanation:
Equiangular triangle
2. Isosceles triangle
3. Right angle triangle
4. Scalene triangle
5. Obtuse angle triangle
6. Acute angle triangle
7. Equilateral triangle
8. corners
9. angles
10. triangle
2. Find the slope, the y-intercept and then write the equation of the line.
Answer:
Y =3x/2 is the equation of the line.
Slope is 3/2
Y intercept is zero
CONVERT 24-HOUR TO 12-HOUR
1. 21:30
2. 08:50
3. 10:45
4. 19:36
Answer:
1) 09:30
2) 08:50
3) 10:45
4) 07:36
Step-by-step explanation:
I hope this helps!!Shawn ordered a set of beads he received 20 beads and 5% of them were yellow how many yellow beads did Shawn receive
Answer:
5% of 20 is 1
A balloon containing 0. 500 mol Ar at 0. 00°C and 65. 0 kPa pressure is expanded by adding more argon. Formula: PV = nRT (R = 8. 317 L•kPa/mol•K) What is the original volume of the gas? L.
Using an ideal gas equation to solve the problem. Then the original volume is 17.67 liters.
What is an ideal gas equation?An ideal gas is a theoretical composed of a set of randomly moving gas particles that interact only through elastic collision.
Given
A balloon containing 0.500 mol at 0. 00°C and 65.0 kPa pressure are expanded by adding more argon.
Pressure (P) = 65 kPa
Mole (n) = 0.5 mol
Temperature (T) = 0 °C = 273.15 K
Universal gas constant (R) = 8.317 L.kPa/mol.K
We know the ideal gas equation
[tex]\rm PV =nRT\\\\V \ \ = \dfrac{nRT}{P}[/tex]
Put the values, we have
[tex]\rm V = \dfrac{0.5*8.317*273.15}{65}\\\\V = 17.67[/tex]
Thus, the original volume is 17.67 liters.
More about the ideal gas equation link is given below.
https://brainly.com/question/4147359
Answer:
answer in picture
Step-by-step explanation:
Evaluate the indefinite integral using substitution method.
[tex]\displaystyle \large{\int {(x-2)\sqrt{3-x}} \ dx }[/tex]
[tex] \frac{2(3 - x)^{ \frac{5}{2} } }{5} - \frac{2(3 - x)^{ \frac{3}{2} } }{3} + C[/tex]is the answer
Step-by-step explanation:-
Given:
[tex]{\int {(x-2)\sqrt{3-x}} \ dx }[/tex]
Differentiate on both sides,
[tex]{\int {(x-2)\sqrt{3-x}} \ dx },u = 3 - x[/tex]
Isolate and substitute back,
[tex]{\int {(x-2)\sqrt{3-x}} \ \times ( - 1) du },u = 3 - x[/tex]
Substitute back,
[tex]{\int ( - ( - u + 3 - 2) \sqrt{u})du }[/tex]
Applying property of integral ∫ kf(x)dx = k ∫ f(x)dxdx,
[tex] - ∫ ( - u + 3 - 2) \sqrt{u} \: du,u = 3 - x[/tex]
Combining like terms,
[tex]- ∫ ( - u +1) \sqrt{u} \: du,u = 3 - x[/tex]
Now applying distributive property,
[tex]- ∫ (( - u +1) \sqrt{u}) \: du,u = 3 - x[/tex]
[tex] = > - ∫ ( - \sqrt{u} \times u + \sqrt{u} )\: du,u = 3 - x[/tex]
Converting to exponential form,
[tex]- ∫ ( - u^{ \frac{1}{2} } \times u + u^{ \frac{1}{2} } )\: du,u = 3 - x[/tex]
Multiplying the first two monomuals after integral, we get,
[tex]- ∫ ( - u^{ \frac{3}{2} } + u^{ \frac{1}{2} } )\: du,u = 3 - x[/tex]
Now applying the prperty of ∫ f(x) + g(x)dx = ∫ f(x)dx + ∫ g(x)dx,
[tex] - ( - ∫u^{ \frac{3}{2} } \: du + ∫u^{ \frac{1}{2} } \: du),u = 3 - x[/tex]
Now integrate the power rule,
[tex] - ( - \frac{u^{ \frac{5}{2} }}{ \frac{5}{2} } + \frac{u^{ \frac{3}{2} }}{ \frac{3}{2} } ),u = 3 - x[/tex]
Divide the fractions by multiplying its reciprocals,
[tex] - ( - u^{ \frac{5}{2} } \times \frac{2}{5} + u^{ \frac{3}{2} } \times \frac{2}{3}),u = 3 - x[/tex]
Now write as single fractions,
[tex] - ( - \frac{2u^{ \frac{5}{2} } }{5} + \frac{2u^{ \frac{3}{2} } }{3})[/tex]
Removing the parentheses,
[tex] \frac{2u^{ \frac{5}{2} } }{5} - \frac{2u^{ \frac{3}{2} } }{3},u = 3 - x[/tex]
Substitute back,
[tex] \frac{2(3 - x)^{ \frac{5}{2} } }{5} - \frac{2(3 - x)^{ \frac{3}{2} } }{3} [/tex]
Now adding the constant of integration C∈R,
[tex] \frac{2(3 - x)^{ \frac{5}{2} } }{5} - \frac{2(3 - x)^{ \frac{3}{2} } }{3} + C[/tex]
Hence, the answer.
( algebra ) Can you show me how to solve this question?
Answer:
[tex]term \: n = 3n + 2 \\ {1}^{st \: } term= \: \: (3 \times 1) + 2 \: just \: apply \: the \: term \: number \: to \: n \\ = 3 + 2 \: \\ \: = 5 \: [/tex]
A cylinder has a radius of 4 centimeters and a height of
5 centimeters.
What is the volume of the cylinder?
Answer:
the answer for your question is 80pi
The greater the proportion of ____ in the population, the higher the crime rate and the greater the number of persistent offenders.
Answer:
I think its young men
x - 18 = 20 one step equations
Answer: the answer is x=38
Step-by-step explanation:
X-18=20 we see that 18 is being SUBTRACTED from the x which means we have to do the opposite of subtraction is addition so 20+18=38
To check: you can plug 38 for x and subtract it from 18
Demonstration: 38-18=20
X = 38
Step-by-step explanation:
X-18 = 20
we move the constants (numbers) to one side and keep the variable, unknown on the other side
X= 20+18 (we change the sign whenever we move something to the opposite side)
x= 38
On a timer someone please help!!
Answer:
B. x^1/8 y^8
Step-by-step explanation:
here are the steps so you understand better
somebody please help!!!!!!!!!!!!
thank youu
[find the x ]
Answer:
I fell like guiding you would be better.
First, help yourself by labelling all vertex's (there should be 5 so a,b,c,d,e).
You know that they are 2 sets of similar triangles cuz there is a 70 degree on in both and a common on
Then all you need to do is set up the proportion.
I can't give you the answer cuz I don't have much time, but I feel like you can figure it out. If this helped you, pls rate it decent, but if not just 1-star it I don’t care
I need help!!!!!!!!!
The baseball team needs new uniforms.
Each uniform costs $28. There are 14
players on the team. What is the cost of
new uniforms for the team?
Answer:
392
Step-by-step explanation:
You can multiply
28 • 14
=392
In a triangle ABC, a =3, b=4 , c =5 cm. Find the area of the triangle.
Answer:
6 cm²
Step-by-step explanation:
The shorter sides are base and height.
3 x 4 / 2
= 6
We have: a² + b² = 3² + 4² = 9 + 16 = 25 = 5² = c²
=> triangle ABC is a square triangle
=> the area of the triangle ABC is: a × b ÷ 2 = 3 × 4 ÷ 2 = 6 (cm²)
Answer: 6 cm²
Ok done. Thank to me :>
100/12 as a mixed number
Answer:
8 and 1/3
Step-by-step explanation:
100 divided by 12 and then the leftover. Also needs to be simplified from 4/12 to 1/3 (:
I'm not asking for too much so PLS help
I'M DESPERATE :(
Answer:
no
Step-by-step explanation:
theses expressions do not have the same values because they both have differant answers.
when put in a calculator: [tex]\sqrt{100-64[/tex] = 6
and [tex]\sqrt{100[/tex] - [tex]\sqrt{64[/tex] into the calculator you get =2 (the sqrt of 100= 10 and the sqrt of 64=8) (10-8=2)
Answer:
ok so lets just talk about what each one represents
the first one represents the square root of 100-64 so
the square root of 36 is 6
the second one is the square root of 100 minus the square root of 64 so
10-8=2
the first one is 6
the second one is 2
so no
Hope This Helps!!!
Please help! What’s the answer for this?
Answer:
the answer for 1 1/3 is O 4/3
5 2/5 is T 28/5
2 4/5 is D 14/5
Step-by-step explanation:
All you have to do is multiply the whole number by the denominator and then add the numerator and the denominator stays the same.
Like on the second one you would multiply the 5 by the denominator which is also five then add the numerator,1, and that gives you the top number and the bottom one stays the same.
Sorry if I confused you but hope this helps!
You got this
greatest comman factor of 35 + 50
Answer:
The GCF of 35 and 50 is 5