A house is losing value at a rate of 5.4% per year. In 2009, the house was worth $331,000. Find the value of the house in 2021.
Answer:
$169803
Step-by-step explanation:
Given data
rate of decrease = 5.4%
time = 2009-2021= 12years
P= $331,000
Let us apply the compound interest formula
A=P(1-r)^t----------------note the minus sign because this is a decrease
A= 331000(1-0.054)^12
A= 331000(0.946)^12
A= 331000*0.513
A=$169803
Hence the value in 2021 is $169803
Volume of composite figures
Answer:
Finding the volume of these composite figures involves finding the volume of each shape, calculate the volume of each shape,
Step-by-step explanation:
then adding the volume of these different shapes together. the volume of two different figures is calculated with step by step directions.
Whoever completes this will get brainliest!!! Needed ASAP!
Answer:
1. slope m = 1; y-intercept b = 3
2. slope m = ; y-intercept b = 4
3. slope m = 3; y-intercept b = 1
4. slope m = [tex]\frac{1}{2}[/tex]; y-intercept b = 1
5. the slope demonstrates the cost of toppings PER topping and how the price increases per topping. the y-intercept is the starting cost WITHOUT toppings (when toppings = 0) and the slope increases the price starting with the y-intercept because it is the initial cost. the graph is attached
x 2x=27 when y=9 and z=2
Elliot was trying to factor 6z^2-18. He found the greatest common factor of these terms was 6.
Answer:
6(z^2-3)
Step-by-step explanation:
6z^2-18=6(z^2-3)
What is x/-3+20=30? Can someone pls help me
Answer:
x=510
Step-by-step explanation:
You can first combine like terms to get x/17=30
The inverse operation of division is multiplication so you can multiply by 17 on both sides to get your final answer: x=510
x - y = -2
4x - y = 4
[tex] \begin{cases} x - y = - 2 \\ 4x - y = 4 \end{cases}[/tex]
Use the elimination method as it is faster. We have to eliminate the y-term. (You can eliminate the x-term but it takes longer than eliminating y-term.)Simply multiply the negative one in one of the equations.
[tex] \begin{cases} - x + y = 2 \\ 4x - y = 4 \end{cases}[/tex]
We can finally eliminate the y-term by adding both equations.
[tex]( - x + 4x) + (y - y) = 2 + 4 \\ 3x + 0 = 6 \\ 3x = 6 \\ x = \frac{ 6 }{3} \longrightarrow \frac{ \cancel{6}}{ \cancel{3}} = 2 \\ x = 2[/tex]
Substitute the value of x in any given equations. I will substitute in the first equation.[tex]x - y = - 2 \\ 2 - y = - 2 \\ 2 + 2 = y \\ 4 = y[/tex]
Check the answer by substituting the value of x and y in both equations.First Equation
[tex]x - y = - 2 \\ 2 - 4 = - 2 \\ - 2 = - 2 \longrightarrow \sf{true} \: \: \green{ \checkmark}[/tex]
Second Equation
[tex]4x - y = 4 \\ 4(2) - 4 = 4 \\ 8 - 4 = 4 \\ 4 = 4 \longrightarrow \sf{true} \: \: \green{ \checkmark}[/tex]
Hence, the solution is (2,4).
Answer[tex] \begin{cases} x = 2 \\ y = 4 \end{cases}[/tex]
Coordinate Form
[tex](2,4)[/tex]
please help, ill give you brainly :)
jeffys law whats 2+2
Answer:
b
Step-by-step explanation:
21x+6y=42
7x+2y=14
For this case we have the following system of equations:
We multiply the second equation by -3:
Thus, we observe that the second equation is equivalent to the first, if we add both we get:
The equality is fulfilled. The lines are on top of each other.
Answer:
Infinite solutions
Find the solution to the system: x=2y-7 and 4x+y=71
needed the correct answer
20 points
Answer:
30
Step-by-step explanation:
pretty sure it is that
Mr. Bayless invests $3500 in a savings plan. The savings account pays an
annual interest rate of 4.75% on the amount he put in at the end of the
year. How much will Mr. Bayless earn if he leaves his money in the savings
plan for 8 years and how much money will be in his savings plan at the end
of 8 years?
Answer:
Interest = $1330
Amount = $4830
Step-by-step explanation:
Given
Principal = $3500
Rate = 4.75%
Time T = 8 years
Interest =PRT/100
Interest = 3500*4.75*8/100
Interest = 35*4.75*8
Interest = $1,330
Hence the interest earned by Mr. Bayless is $1,330
Amount after 8years = Principal + Interest
Amount after 8years = 3500+1330
Amount after 8years = $4830
Hence the amount after 8years is $4830
Which of the following functions represents an arithmetic sequence?
1. f(n)=3n^2−4
2.f(n)=3n−4
3.f(n)=3^n−4
4.f(n)=3^n−4^n
Answer:
Option (2)
Step-by-step explanation:
Explicit formula of an arithmetic sequence is always in the linear form.
A(n) = a + (n - 1)d
Here A(n) = nth term of the sequence
a = first term
n = number of term
d = common difference
Formula doesn't have the terms with the exponent.
Therefore, from the given options, expression that represents an arithmetic sequence will be,
f(n) = 3n - 4
Option (2) will be the correct option.
10-x=5
What is X???I need help
10-x =5
-x= 5-10
-x = -5
x= 5
Answer : x=5Answer:
what the other person said
Step-by-step explanation:
What is 4/9 x 5/7 x 1/2
Answer:
0.16
Step-by-step explanation:
4*5*1=20
9*7*2=126
20/126=10/63
Answer:
10/63
Step-by-step explanation:
First, let's solve 4/9 * 5/7. Multiply the numerator first- 4*5=20. The denominator is 9*7=63. So, this equals 20/63. Now we need to find 20/63 * 1/2. We can cancel out the 2 on the denominator and divide 20 on the numerator by 2. So, you get 10/63 * 1/1, which is 10/63.
Can someone help me please
Answer:55
Step-by-step explanation:
Which factors composed the least common denominator of for this difference?
Answer:
-2x, (x+6), and (x-2)
I got this right on edmentum.
Step-by-step explanation:
Which of the triangles are right triangles?
Step-by-step explanation:
1 is a right triangle I know this because a right triangle is a triangle which one of the angles is a 90 degree angle
Answer:
Triangles 1,2,3, and 4 are all right triangles
Write the equation of line of the line that passes through the point (5, 6) and a slope of 2
Help please need the answer before 2:00
Answer:
y = (10/7)x
Step-by-step explanation:
Ok so this is a hard question but I believe the answer is y = (10/7)x
(4 + 2n) + (513 + 2).
Answer:
2n + 519
Step-by-step explanation:
Hope this helps! :)
Good luck♥
The table represents a linear function. The rate of change between the points (–5, 10) and (–4, 5) is –5. What is the rate of change between the points (–3, 0) and (–2, –5)?
x
y
–5
10
–4
5
–3
0
–2
–5
–5
Negative StartFraction 1 Over 5 EndFraction
One-fifth
5
Answer:
use the slope formula y2-y1/x2-x1 and you should get -5-0/-2+3= -5 which means the rate of change should be 5
Answer:
5
Step-by-step explanation:
Explain the slope and the y-intercept
last question please som1
Answer:
898/8×41=4602.5
Step-by-step explanation:
I HOPE THIS WILL HELP YOU KEEP WORK HARD FOR STUDIES
If y varies directly with x, and y = 72 when x = -8, what is y when x = -6
Answer:
y=72
Step-by-step explanation:
the step by step is in the attachment above
Solve for the inequality x / 3 < -7
Answer:
[tex]x < - 21[/tex]
Step-by-step explanation:
1. Multiply both sides by 3.
[tex]x < - 7 \times 3[/tex]
2. Simplify 3 × 7 to 21.
[tex]x < - 21[/tex]
therefor, the answer is x < -21
Use the distributive property to find the equivalent expression.
4(2 + 3v) = +
Answer:
8+12v
Step-by-step explanation:
Find the measure of MN. please help!!!!
Given:
A circle with center O.
[tex]m\angle MOP=45^\circ, m\angle PON=85^\circ[/tex].
To find:
The measure of arc MN.
Solution:
We know that,
[tex]m\angle MON=m\angle MOP+m\angle PON[/tex]
[tex]m\angle MON=45^\circ+85^\circ[/tex]
[tex]m\angle MON=130^\circ[/tex]
The central angles in equal to the measure of the corresponding arc.
[tex]Arc(MN)=m\angle MON[/tex]
[tex]Arc(MN)=130^\circ[/tex]
Therefore, the measure of arc MN is 130 degrees.
Pls help its my last question?!?!
Answer:
x = -11
m<B = -43
m<C = -22
Step-by-step explanation:
To solve for x, solve (3x-10) + (2x) + 65 to get 5x+55. Simplify to 5x = -55. This can simplify further to x = -11. Insert -11 as x into the angles.
I hope this is correct and helps!
