Answer:
Step-by-step explanation:
90
Based on the information, the value of the piano after 16 years is $140.74.
What is Compound interest?Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.
Using this formula to find the value of the piano, v, after t years.
CP = Principal(1-rate)[tex]^t[/tex]
Where:
Principal=$5,000
Rate=20%
Number of year = 16 years
Let plug in the formula;
=5,000(1-0.20)^16
=5,000(.80)^16
=$140.737
= $140.74 (Approximately)
Hence, the value of the piano after 16 years is; $140.74.
Learn more about interest here;
https://brainly.com/question/1548909
#SPJ2
You may borrow up to 2.5 times your annual income. Arianna is buying a home. Her weekly income is $900. What is the maximum amount that she may borrow?
Answer: $117,000
Step-by-step explanation:
The maximum that Arianna may borrow is 2.5 times her annual income.
First step therefore, would be to calculate her annual income:
= 900 * 52 weeks
= $46,800
She may borrow 2.5 times this:
= 46,800 * 2.5
= $117,000
The perimeter of parallelogram ABCD is 46 inches.
What is DA?
Answer:
Not enough information.
Step-by-step explanation:
AB + BC + CD + DA = 46
In a parallelogram, opposite sides are congruent.
AB + DA + AB + DA = 46
2AB + 2DA = 46
We have two unknowns and only one equation.
There is not enough information to answer the question.
The triangles below are similar.
10
y
22
33
12
y = [?]
Answer:
y=15
Step-by-step explanation:
Since the triangles are similar you take 22/33 and 10/y then cross multiply and get 330=22y now divide 330 by 22 and you get 15
The value of x is 26.4 unit and y is 15 units,
What is Similarity?Two triangles are said to be comparable if their two sides are in the same ratio as the two sides of another triangle and their two sides' angles inscribed in both triangles are equal.
Given:
As, the two triangles are similar then the ratio of their corresponding sides and angles are equal.
So, 22/ 10 = 33/ y
22y = 330
y = 330/22
y = 15
and, 22/10 = x/ 12
264 = 10 x
x= 26.4
Hence, the value of x is 26.4 unit and y is 15 units,
Learn more about Similarity here:
https://brainly.com/question/26451866
#SPJ2
-3 < n < 1
n is an integer
Write down all the possible values of n
Answer:
n ε{-2,-1,0} with n being integer
PLEASE HELP!!!
Find sin D, sin E, cos D, and cos E. Write each answer as a fraction in simplest form.
Answer:
Here are what they equal in their simplest forms!
Step-by-step explanation:
Sin D & Cos E were originally equal to 13 -/3 over 26
-
Sin E & Cos D were originally equal to 13/26
-
Hope I was able to help!
Answer:
sin D = FE/DE = 13√3 /26 = √3 /2
sin E = DF/DE = 13/26 = ½
(sin E = cos D)
cos D = DF/DE = 13/26 = ½
cos E = EF/DE = 13√3 /26 = √3 /2
(sin D = cos E)
Write an Equation using the following arithmetic sequence: 24, 18, 12
Answer:
24-18=6+6+12
hope this helps you!!
Step-by-step explanation:
Write an expression for the area and perimeter for the figure shown.
I WILL GIVE THE BRAINLIEST IF YOU CAN ANSWER THIS
Please help!! I’m stuck on this
√-4 - 5x = x
A. x = -1 or x = 4
B. x = -1 or x = -4
C. x = 1 or x = -4
D. x = -5 or x = 4/5
E. x = 1 or x = 4
Answer:
B. [tex]x = -4\,\lor \,x = -1[/tex]
Step-by-step explanation:
Let [tex]\sqrt{-4-5\cdot x} = x[/tex], we solve for [tex]x[/tex] by algebraic means.
1) [tex]\sqrt{-4-5\cdot x} = x[/tex] Given
2) [tex]-4-5\cdot x = x^{2}[/tex] Definition of power/Symmetry of equality
3) [tex]x^{2}+5\cdot x + 4 = 0[/tex] Compatibility with addition/Commutative and associative properties/Existence of additive inverse/Modulative property
4) [tex](x+4)\cdot (x+1) = 0[/tex] [tex]x^{2}+(a+b)\cdot x +a\cdot b = (x + a)\cdot (x+b)[/tex]
5) [tex]x = -4\,\lor \,x = -1[/tex] Result
Hence, the correct answer is B.
Gabriella bought three melons for 7.50 how many melons can April buy if she has 17.50
Answer:
7 melons
Step-by-step explanation:
So we first figure out the unit price of each melon by dividing 7.5 with 3 and you get $2.5 per melon. Then you divide 17.5 by 2.5 and then you should get 7.
David can jog 3.5 miles in 75 minutes. What is David’s jogging rate per hour?
PLEASE SHOW YOUR WORK!!!!
will give brainliest!
help plz helpppppppppppp plzzzzzzzzz
it's 5 days, if you need an explanation feel free
Answer:
5 days
Step-by-step explanation:
for 100 people------------ last for 8 days
for 1 person-----------------last for 8x100=800 days
Therefore, for 160 people----------------last for(800/160)=5 days.
Para fazer um serviço de operário leva 70 dias . Se trabalhou 25 dias num mês e 24 dias no outro mês , quantos dias faltam para ele terminar o serviço?
Responda:
21 dias
Explicação passo a passo:
Total de dias necessários = 70 dias
Dias usados no mês 1 = 25 dias
Dias usados no mês 2 = 24 dias
Dias usados no total = 24 + 25 = 49 dias
Dias restantes :
70 dias - 49 dias
= 21 dias
The height of a skydiver jumping out of an airplane is given by n = -16t^2 + 3200. How long will it take the skydiver to reach the ground? Round to the nearest tenth of a second.
Answer:
0 = -16t² + 3200 → 16t²= 3200 → t² = 200 → t = 10√2 s ≈ 14 s
The time taken by the skydiver to reach the ground is 14.1 second.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
Given that, the height of a skydiver jumping out of an airplane is given by n = -16t² + 3200.
Here, n=0
-16t² + 3200=0
-16t²=-3200
t²=200
t=√200
t=14.14
t=14.1 second
Therefore, the time taken by the skydiver to reach the ground is 14.1 second.
To learn more about the solution of quadratic equation visit:
https://brainly.com/question/18305483.
#SPJ3
Give the sum in simplest form: 2x/w + y/w
Answer:
[tex]\frac{2x+y}{w}[/tex]
The points (1, 4) and (−3, 2) are the endpoints of a diameter of a circle. What is the equation of the circle?
Answer:
Step by step
Step-by-step explanation:
Since we have the endpoints of the diameter, the midpoint coordinates of the line segment joining them gives the centre of the circle.
That is, centre (a,b) = ( [1+(-3)]/2, [4+2]/2) = (-1,3)
Distance between the given points give the diameter and half of that is the radius length.
So, radius r = (1/2)* sqrt ( [1-(-3)]^2 + [4–2]^2) = sqrt(5)
Thus equation required is: (x-a)^2 + (y-b)^2 = r^2
So, (x+1)^2 + (y-3)^2 = 5
The equation of the circle is (x + 1)² + (y - 3)² = 5
How to determine the circle equation?The endpoints of the diameter are given as:
(1, 4) and (−3, 2)
Start by calculating the midpoint using:
Midpoint = 0.5 * (x₁ + x₂, y₁ + y₂)
So, we have:
Midpoint = 0.5 * (1 - 3, 4 + 2)
Evaluate
Midpoint = (-1, 3)
So, the center (a,b) of the circle is:
(a,b) = (-1,3)
Calculate the length of the diameter using:
D² =(x₁ - x₂)² + (y₁ - y₂)²
This gives
D² = (1 + 3)² + (4 - 2)²
D² = 20
Take the square roots
D = 2√5
Divide by 2 to calculate the radius
r = √5
Square both sides
r² = 5
The equation of the circle is then represented as:
(x - a)² + (y - b)² = r²
This gives
(x + 1)² + (y - 3)² = 5
Hence, the equation of the circle is (x + 1)² + (y - 3)² = 5
Read more about circle equations at:
https://brainly.com/question/1559324
Ill Give brainliest To whoever can answer this please .ASAP . Thanks-Rin
Answer: The answer is c
Explanation:
19+23=2X-2
Someone help me pleaseeeeeeeeeeeeee
Answer:
x = 22
Step-by-step explanation:
19+23=2X-2
42 = 2x - 2
-2x = -2 - 42
-2x = -44
x = 22
hope this helps
Can I please have help with question 2) a and b
Answer:
[tex]\frac{10\sqrt{6} }{3}[/tex] and [tex]\frac{11\sqrt{3} }{3}[/tex]
Step-by-step explanation:
(a)
A = [tex]\frac{1}{2}[/tex] × 4[tex]\sqrt{2}[/tex] × [tex]\frac{5}{\sqrt{3} }[/tex]
= 2[tex]\sqrt{2}[/tex] × [tex]\frac{5}{\sqrt{3} }[/tex]
= [tex]\frac{10\sqrt{2} }{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ← rationalise the denominator
= [tex]\frac{10\sqrt{6} }{3}[/tex] units²
(b)
Using Pythagoras' identity in the right triangle
let hypotenuse be h , then
h² = (4[tex]\sqrt{2}[/tex] )² + ([tex]\frac{5}{\sqrt{3} }[/tex] )²
= 32 + [tex]\frac{25}{3}[/tex]
= [tex]\frac{96}{3}[/tex] + [tex]\frac{25}{3}[/tex]
= [tex]\frac{121}{3}[/tex] ( take the square root of both sides )
h = [tex]\sqrt{\frac{121}{3} }[/tex] = [tex]\frac{11}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ← rationalise the denominator
h = [tex]\frac{11\sqrt{3} }{3}[/tex]
To make a certain shade of paint, Frazier mixed 4/9 cups of white paint with 2 and 2/9 cups of blue paint.
How many cups of blue paint should she mix with 6/7 cups of white paint to make the same shade?
good luck:)
Answer:
Here, it's ratio
Step-by-step explanation:
4/9: 2 and 2/9
simplify
1:5
6/7:x
6/7 x 5 is....
30/7
Mixed number is 4 2/7
BLAM!!!
Find the measure of Arc XY.
Answer:
arc XY = 46°
Step-by-step explanation:
the arc of an inscribed angle is equal to 2 x the inscribed angle
mXY
2m<XZY2(23)46°Molly opened a savings account to save for a bicycle. She deposited the same amount of money each week. At the end of 18 weeks, she had saved $331.56. How much money did Molly deposit into her account each week?
Answer:
Weekly deposit= $18.42
Step-by-step explanation:
Giving the following information:
Number of weeks= 18
Total amount of money= $331.56
She deposited the same amount of money each week.
To calculate the weekly deposit, we need to divide the total savings by the number of weeks:
Weekly deposit= 331.56 / 18
Weekly deposit= $18.42
Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation 3х-5=2x+ 10?
Ox= 5
О-5а Х
O-15 = -5x
O-5х = 15
What is 3200(0.045)(8)?
Answer:
1152
Step-by-step explanation:
Can Somebody help me real quick?
Answer:The answer is (4 x -1)
Step-by-step explanation: How to solve this is tell the teacher I don’t know
Sarah is creating a triangular birthday card for her teacher. In order to glue lace
around the outside of the card, Sarah needs to know the length of each side. She
knows that two of the sides measure 4 inches and 9 inches. Between which two
numbers must the third side of the card fall?
Answer:
6-12.
Step-by-step explanation:
Between 6 to 12 two numbers must the third side of the card fall.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that Sarah is creating a triangular birthday card for her teacher.
Thus in order to glue lace around the outside of the card, Sarah needs to know the length of each side.
It should be known that two of the sides measure 4 inches and 9 inches.
Therefore, in between 6 to 12 the third number must be lie.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
4
The diagram shows a shape.
12 cm
Diagram NOT
accurately dre
6 cm
9 cm
x cm
The shape has area 129 cm
Work out the value of x.
Answer:
x = 7 cm
Step-by-step explanation:
12x9 + 3x = 129
108 + 3x = 129
3x = 21
x = 7 cm
The value of x will be;
⇒ x = 2.3 cm
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
The shape has area 129 cm².
Now,
Since, The shape has area 129 cm².
And, The Length of the large rectangle = (12 + x) cm
And, The width of the rectangle = 9 cm
We know that;
The area of rectangle = Length × Width
⇒ 129 = (12 + x) × 9
⇒ 129/9 = 12 + x
⇒ 14.3 = 12 + x
⇒ x = 14.3 - 12
⇒ x = 2.3 cm
Learn more about the rectangle visit:
https://brainly.com/question/25292087
#SPJ2
Please help with any of this Im stuck and having trouble with pre calc is it basic triogmetric identities using quotient and reciprocal identities
How I was taught all of these problems is in terms of r, x, and y. Where sin = y/r, cos = x/r, tan = y/x, csc = r/y, sec = r/x, cot = x/y. That is how I will designate all of the specific pieces in each problem.
#3
Let's start with sin here. [tex]\frac{2\sqrt{5}}{5} = \frac{2}{\sqrt{5}}[/tex] Therefore, because sin is y/r, r = [tex]\sqrt{5}[/tex] and y = +2. Moving over to cot, which is x/y, x = -1, and y = 2. We know y has to be positive because it is positive in our given value of sin. Now, to find cos, we have to do x/r.
cos = [tex]\frac{-1}{\sqrt{5}} = \frac{-\sqrt{5}}{5}[/tex]
#4
Let's start with secant here. Secant is r/x, where r (the length value/hypotenuse) cannot be negative. So, r = 9 and x = -7. Moving over to tan, x must still equal -7, and y = [tex]4\sqrt{2}[/tex]. Now, to find csc, we have to do r/y.
csc = [tex]\frac{9}{4\sqrt{2}} = \frac{9\sqrt{2}}{8}[/tex]
The pythagorean identities are
sin^2 + cos^2 = 1,
1 + cot^2 = csc^2,
tan^2 + 1 = sec^2.
#5
Let's take a look at the information given here. We know that cos = -3/4, and sin (the y value), must be greater than 0. To find sin, we can use the first pythagorean identity.
sin^2 + (-3/4)^2 = 1
sin^2 + 9/16 = 1
sin^2 = 7/16
sin = [tex]\sqrt{7/16}[/tex] = [tex]\frac{\sqrt{7}}{4}[/tex]
Now to find tan using a pythagorean identity, we'll first need to find sec. sec is the inverse/reciprocal of cos, so therefore sec = -4/3. Now, we can use the third trigonometric identity to find tan, just as we did for sin. And, since we know that our y value is positive, and our x value is negative, tan will be negative.
tan^2 + 1 = (-4/3)^2
tan^2 + 1 = 16/9
tan^2 = 7/9
tan = -[tex]\sqrt{7/9} = \frac{-\sqrt{7}}{3}[/tex]
#6
Let's take a look at the information given here. If we know that csc is negative, then our y value must also be negative (r will never be negative). So, if cot must be positive, then our x value must also be negative (a negative divided by a negative makes a positive). Let's use the second pythagorean identity to solve for cot.
1 + cot^2 = [tex](\frac{-\sqrt{6}}{2})^{2}[/tex]
1 + cot^2 = 6/4
cot^2 = 2/4
cot = [tex]\frac{\sqrt{2}}{2}[/tex]
tan = [tex]\sqrt{2}[/tex]
Next, we can use the third trigonometric identity to solve for sec. Remember that we can get tan from cot, and cos from sec. And, from what we determined in the beginning, sec/cos will be negative.
[tex](\frac{2}{\sqrt{2}})^2[/tex] + 1 = sec^2
4/2 + 1 = sec^2
2 + 1 = sec^2
sec^2 = 3
sec = -[tex]\sqrt{3}[/tex]
cos = [tex]\frac{-\sqrt{3}}{3}[/tex]
Hope this helps!! :)
Answer:
sin(θ)=√7/4
tan(θ)= - √7/3
Step-by-step explanation:
c^2= √(4^2-(-3^2))
c^2= √(16-9)
c^2= √7
sin(θ)= opp/hyp=√7/4
tan(θ)= (opp )/adj= - √7/3
Esmeralda cut out two paper rectangles and glued them together as shown in the figure.
Find the area of the Esmeralda's composite figure.
A)32 cm
B)40 cm
C)48 cm
D)56 cm
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
Try C it probably is your answer
the rational expressionwrite this ratio in the form p(x) + x/(x - 2) Where is some x - 2
Answer:
[tex]\frac{2x^2+5x-14}{x-2}=(2x+9)+\frac{4}{x-2}[/tex]
Step-by-step explanation:
Given rational expression is,
[tex]\frac{2x^2+5x-14}{x-2}[/tex]
x - 2) 2x² + 5x - 14(2x + 9
2x² - 4x
9x - 14
9x - 18
4
Therefore, [tex]\frac{2x^2+5x-14}{x-2}=(2x+9)+\frac{4}{x-2}[/tex] is the answer.