Answer:
[tex]y = 48000 - 2200x[/tex] --- equation
[tex]y = 37000[/tex] --- value at 5th year
Step-by-step explanation:
Given
[tex]Value = \$48000[/tex]
[tex]Rate = \$2200[/tex] decrease
Required
Determine the linear equation
Determine the value at the 5th year
Represent years with x.
If the rate in 1 year is 2200,
in x years, it'll be 2200x (decrement)
So, the value (y) at x years is.
[tex]y = 48000 - 2200x[/tex]
The value at the 5th year is when x = 5.
So, we have:
[tex]y = 48000 - 2200 * 5[/tex]
[tex]y = 48000 - 11000[/tex]
[tex]y = 37000[/tex]
The expression equals ___ ?
Unscramble the letters below to form a math word:
MEANLOMPCETY
please help! i need help ASAP much appreciated
Answer:
Plz check in step by step
Step-by-step explanation: Hong Kong Island is the second-largest island of the territory, the largest being Lantau Island. Its area is 78.59 km2 (30.34 sq mi), including 6.98 km2 (2.69 sq mi) of land reclaimed since 1887 and some smaller scale ones since 1851.
what is the value of 3b2−b when b = 5?
PLEASE HELP ME!
Which algebraic rule describes the transformation of
parallelogram GHJK to G'H'J'K'?
ry-axis
rx-axis
R0,90°
R0,270°
Answer:
it right
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Complete the following equality. 4 days = hours
Day: 4
Hour: 96
Days Hours
1 Day 24 Hours
2 Days 48 Hours
3 Days 72 Hours
4 Days 96 Hours
Answer:
96 hours
Step-by-step explanation:
each day has 24 hours in one day. If you are trying to find the number of hours in a set number of days, you multiply the number of days by 24.
What is the y-intercept of the line y + 11 = –2(x + 1.5)?
Answer:
-14
Step-by-step explanation:
y + 11 = -2(x + 1.5)
y = -2(x + 1.5) - 11
y = -2x - 3 - 11
y = -2x - 14
Answer:
for the y-intercept, i got -14
Step-by-step explanation:
round 2.52 to the nearest tenth
Answer:
2.5
Step-by-step explanation:
Answer:
2.50
Step-by-step explanation:
the tenths place is right after the ones place and before the hundreths place.
in 2.52, 5 is in the tenth's place. It's value is 5/10. The number in the hundreths place is 2, 2 is less than 5 so we round down. 2.52 becomes 2.50
An electrician charges a base fee of $70 plus $45 for each hour of work. The minimum the electrician charges is $160. Create a table that shows the amount the electrician charges for 1, 2, 3, and 4 hours of work. Determine the domain and range of the relation in context and explain whether or not this represents a function.
Answer:
1) See below for table.
2) Domain: [tex]\{1, 2, 3, 4\}[/tex]
Range: [tex]\{160, 160, 205, 250\}[/tex]
Yes, this is a function.
Step-by-step explanation:
We know that the electrician charges a base fee of $70 plus $45 for each hour of work.
We also know that the minimum the electrician charges is $160.
Let's write an equation. Let x denote the number of hours worked and y denote the total price. There's also a base fee of $70. So, we can write the following equation:
[tex]y=45x+75[/tex]
Part 1)
Let's create our table for 1, 2, 3, and 4 hours. To do so, we simply need to substitute each value for x in our equation.
1 Hour:
We have:
[tex]y_1=45(1)+70[/tex]
Multiply and add:
[tex]y_1=45+70=\$115[/tex]
However, notice that the minimum the electrician charges is $160. Therefore, for one hour of work, the electrician will still charge $160. So:
[tex]y_1=\$160[/tex]
2 Hours:
Substitute 2 for x:
[tex]y_2=45(2)+70=90+70=\$160\\[/tex]
So:
[tex]y_2=\$160[/tex]
3 Hours:
Substitute 3 for x:
[tex]y_3=45(3)+70=135+70=\$205[/tex]
So:
[tex]y_3=\$205[/tex]
4 Hours:
Substitute 4 for x:
[tex]y_4=45(4)+70=180+70=\$250[/tex]
So:
[tex]y_4=\$ 250[/tex]
Therefore, for 1, 2, 3, and 4 hours of work, the prices will be $160, $160, $205, and $250, respectively.
We can create the following table (please scroll down to see the table. Also, y is measured in dollars).
Part 2)
The domain of a relation are the input values.
In this context, our input values are the amount of hours worked, and we calculated for 1, 2, 3, and 4 hours of work.
Therefore, our domain in this context is:
[tex]\{1, 2, 3, 4\}[/tex]
The range of a relation are the output values.
In this context, the output values are the price for x hours of work.
Therefore, our range in this context is:
[tex]\{160, 160, 205, 250\}[/tex]
This relation does represent a function. Remember that a function cannot have repeating input values. In other words, no one input can be equal to two or more different outputs. However, one output can be mapped to two or more different inputs.
For our table, none of the inputs are repeating. So, our relation is a function.
And we're done!
4 cachorros se terminan un paquete de croquetas en 6 días, si tuviéramos 3 cachorros ¿cuantos días duraría el paquete ?
Answer:
4 1/2 días.
Step-by-step explanation:
En la pregunta se nos dice que:
4 cachorros terminarán un paquete de croquetas en 6 días, si tuviéramos 3 cachorros, ¿cuántos días duraría el paquete?
4 cachorros = 6 días
3 cachorros = y días
Cruz multiplicar
4 cachorros × y = 3 cachorros × 6 días
y = 3 cachorros × 6 días / 4 cachorros
y = 18/4
y = 4 2/4
y = 4 1/2 días
Por lo tanto, el paquete de croquetas para 3 cachorros tendrá una duración de 4 1/2 días.
Manuel has $600 in a savings account at the beginning of the summer. He wants to have at least $300 in the account at the end of the summer. He withdraws $28 each week for food. Which inequality represents w, the number of weeks Manuel can withdraw money while not dropping below a $300 balance? 28 minus 600 w less-than-or-equal-to 300 28 minus 600 w greater-than-or-equal-to 300 600 minus 28 w less-than-or-equal-to 300 600 minus 28 w less-than-or-equal-to 300
Answer:
600 minus 28 w less-than-or-equal-to 300
Step-by-step explanation:
Answer:
600 minus 28 w less-than-or-equal-to 300
Step-by-step explanation
Grandma Annie is 80 years old. This is 20 years less than 4 times the age of Ashley. How old is Ashley?
Answer:
Annie is 25.
Step-by-step explanation:
Work backwards. 80+20=100. 100÷4=25. Annie is 25. Let's check:
25x4=100
100-20=80
Write the sentence as an equation.
251 is the same as 139 less than the product of a and 233
Answer:
251 = 139 < 233a
I hope that this is correct and that it helps you
Please help ASAP!!!!!!
YOU ALSO GET ALOT OF POINTS!!!!
First to answer (correctly) will get brainliest!!!
A 2-column table with 4 rows. Column 1 is labeled x with entries 5, 3, negative 1, negative 2. Column 2 is labeled y with entries 6, 2, negative 6, negative 8. On a coordinate plane, a line goes through points (negative 2, 4) and (0, negative 4). Linear functions are expressed by data in a table and by a graph. Select all that apply. The slope is the same for both functions. The function expressed in the graph has a steeper slope than the function in the table. The y-intercept is the same for both functions. The table and the graph express an equivalent function.
Answer:
The function expressed in the graph has a steeper slope than the function in the table.
The y-intercept is the same for both functions.
Step-by-step explanation:
Answer:
B & CStep-by-step explanation:
9. Which of the following equations represents a line with a positive slope and a
negative y intercept?
O y = 3.5x
O y = 7.5x – 2
O y = 1/4x +7
O y = -5x – 8
Yvette uses 6 grams of tea leaves of make 24 fluid ounces of tea. Last week she made 288 fluid ounces of tea. How many grams of tea leaves did Yvette use to make tea last week?
Answer:
72 grams of tea leaves.
Step-by-step explanation:
288/24=12
12*6=72
What type(s) of symmetry does the figure have?
Answer:
both points and rotational only
Answer:
I would say point and rotational symmetry SUPER MEGA sorry if im wrong
1. Sоlvе fоr X: -243 -9(10 + х)
Answer:
x=-37
Step-by-step explanation:
-243-90-9x=0
or,-333=9x
x=-37
your ans plezz..... mark brainliest
4x -1 = -x+9 i need help its for a testtt
Answer:
x = 2
Step-by-step explanation:
4x - 1 = -x + 9
add x to both sides.
4x + x - 1 = 9
add 1 to both sides
4x + x = 9 + 1
5x = 10
x = 2
Answer:
[tex]\boxed {x = 2}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]4x - 1 = -x + 9[/tex]
-Take [tex]x[/tex] and add it to [tex]4x[/tex]:
[tex]4x - 1 + x = -x + x + 9[/tex]
[tex]5x - 1 = 9[/tex]
-Add [tex]1[/tex] to both sides:
[tex]5x - 1 + 1 = 9 + 1[/tex]
[tex]5x = 10[/tex]
-Divide both sides by [tex]5[/tex]:
[tex]\frac{5x}{5} = \frac{10}{5}[/tex]
[tex]\boxed {x = 2}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]2[/tex].
Which set of numbers are integers but not whole numbers or natural numbers?
PLEASE HURRYYYYY!!!!!
Integers, whole numbers and natural numbers are numbers without decimal points.
The set of number that are integer but not whole or natural number is:
[tex]\{-2, -3, -4\}[/tex]
As stated above that three set of numbers do not contain decimal point;
However, the difference between them is that; a negative number without a decimal point is referred to as an integer
From the given set: only [tex]\{-2, -3, -4\}[/tex] fit into the description of an integer, because
It does not have a decimal pointAnd it is negativeRead more about set of numbers at:
https://brainly.com/question/4735895
k(n)=3n+2; Find k(0)
Answer:
2
Step-by-step explanation:
substitute 0 for n:
3(0)+2
=2
Answer:
2
Step-by-step explanation:
find the volume of the composite figure?
Answer:
V = 12 in^3
Step-by-step explanation:
A = 1×2×2
A = 4 in^3
B = 4×2×1
B = 8 in^3
V = 12 in^3
Hank has the choice of taking out a 30-year loan for $165,000 at 9.1% interest, compounded monthly, or the same loan at 20 years for a higher monthly payment. How much more is the monthly payment for the 20-year loan than the monthly payment for the 30-year loan? O A. $56.47 O B. $155.66 O c. $99.19 OD. $90.05
If Hank has the choice of taking out a 30-year loan for $165,000 at 9.1% interest. The amount that the monthly payment for the 20-year loan is more than the monthly payment for the 30-year loan is: B. $155.66.
How to find the monthly payment?For 30-year loan
P= principal = $165,000
r = Rate = 9.1% /12 = 0.00758
n = Number of months= 30years × 12 months = 360
So,
Monthly payment = 165,000×0.00758 × ( 1+0.00758)^360 / (1+0.00758)^360 -1
Monthly payment = 165,000×0.00758 × ( 1.00758)^360 / (1.00758)^360 -1
Monthly payment = 18,957.7574/14.15771760
Monthly payment = $1,339.04
For 20-year loan
P= principal = $165,000
r = Rate = 9.1% /12 = 0.00758
n = Number of months= 20years × 12 months = 240
So,
Monthly payment = 165,000×0.00758 × ( 1+0.00758)^240 / (1+0.00758)^240 -1
Monthly payment = 165,000×0.00758 × ( 1.00758)^240 / (1.00758)^240 -1
Monthly payment = 7,660.239666/5.12476186615
Monthly payment = $1,494.7
Difference = $1,339.04 - $1,494.7
Difference = $155.66
Therefore the correct option is B.
Learn more about monthly payment here:https://brainly.com/question/12530214
#SPJ1
If f(x)=x²+3x-2
find f(-2)
Answer:
f(- 2) = - 4
Step-by-step explanation:
To evaluate f(- 2) substitute x = - 2 into f(x) , that is
f(- 2) = (- 2)² + 3(- 2) - 2 = 4 - 6 - 2 = - 4
Value of f(-2) is -4
Given that;
f(x) = x²+3x-2
Find;
Value of f(-2)
Computation:
Given that;
f(x) = x²+3x-2
By putting x = -2
f(-2) = (-2)² + 3(-2) - 2
f(-2) = 4 - 6 - 2
f(-2) = 4 - 8
f(-2) = -4
So, -4 is the correct answer to the given equation.
Learn more:
https://brainly.com/question/24415561?referrer=searchResults
Choose the answer that best represents the situation described below.
Sue wants to mail a glass vase. The bigger the box she uses, the more
packing materials she will need to make sure the vase will not break.
A. The size of the box is a function of the amount of packing
materials needed.
B. The amount of packing materials needed is a function of the size
of the box
C. The size of the box is a function of the size of the vase.
Answer:
b The amount of packing materials needed is a function of the size
of the box
Step-by-step explanation:
The amount of packing materials needed is a function of the size
of the box
9 = -7w + 12w – 6
Solve steps explaining pls
Answer:
Step-by-step explanation:
9 = - 7w + 12w - 6
by transposing,
9 + 6 = -7w + 12w
15 = 5w
w = 15 / 5
w = 3
Hope this helps
plz mark as brainliest!!!!!!
Answer:
[tex]w=3[/tex]
Step-by-step explanation:
[tex]9 = -7w + 12w -6[/tex]
Start by combining like terms ([tex]-7w+12w[/tex]):
[tex]9=5w-6[/tex]
Add [tex]6[/tex] to both sides of the equation:
[tex]15=5w[/tex]
Divide both sides of the equation by the coefficient of [tex]w[/tex], which is [tex]5[/tex]:
[tex]3=w[/tex]
_
Check your work by substituting the solved value of [tex]w[/tex] ([tex]3[/tex]), into the initial equation:
[tex]9 = -7(3) + 12(3) -6[/tex]
Multiply:
[tex]9=-21+36-6[/tex]
Combine like terms:
[tex]9=9[/tex]
Since both sides of the equation are equal, our answer is correct!
x - y = 4 and x + y = 9
Answer:
5-1=4 and 5+4=9
Step-by-step explanation:
[tex]\huge\red{ƛƝƧƜЄƦ}[/tex]
System of Linear Equations entered :
[1] x - y = 4
[2] x + y = 9
Graphic Representation of the Equations :
y + x = 4 y + x = 9
Solve by Substitution :
// Solve equation [2] for the variable y
[2] y = -x + 9
// Plug this in for variable y in equation [1]
[1] x - (-x +9) = 4
[1] 2x = 13
// Solve equation [1] for the variable x
[1] 2x = 13
[1] x = 13/2
// By now we know this much :
x = 13/2 y = -x+9
// Use the x value to solve for y
y = -(13/2)+9 = 5/2
Solution :
{x,y} = {13/2,5/2}
Hope it Helps ☺Simplify the expression -3÷(-2/5)
Answer:
15/2 would be the simplified answer
Step-by-step explanation:
Answer:
15/2
(Decimal: 7.5)
Step-by-step explanation:
Which point in the graph represents the y-intercept?
If f(x) = 4x - 5 and g(x) = x +6, find g(f(-4)
Answer:
-15
Step-by-step explanation:
g(f(-4))=g(4(-4)-5)=g(-21)
g(-21)=-21+6=-15