Answer:
$231,813
Step-by-step explanation:
The estimated expenses after 6 months is $231,812.5
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
Expense = 4,000 + 20,000 x [tex](1.5)^t[/tex]
Now, for t= 6 months
Expense = 4,000 + 20,000 x [tex](1.5)^6[/tex]
Expense = 4,000 + 20,000 x 11.390625
Expense = 4,000 + 2,27,812.5
Expense = 231,812.5
Hence, The estimated expenses after 6 months is $231,812.5.
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3) Select ALL the expressions that are equivalent to 6x + 1 - 4(2x-1).
A) 6X + 1 - 8X - 4
B) 6X + 1 - 8X + 4
C) -2X + 5
D) 6X + 1 + -8X + 4
i need help with number 5
Answer:
the graph is not exponential because exponential is represented as a form of exponenti growth or exponential decay. Exponential function has a slight curve rather than a straight line
How many tons are equal to 36,000 pounds
Answer:
18
Step-by-step explanation:
18 US tons are equal to 36,000 pounds
Bryan earns $5.00 per lawn mowed and $5.00 per car washed. Let m be the number of lawns mowed and let c be the number of cars washed. Select all the expressions that could represent the total earned, E in dollars, by Bryan.
Answer:
where.... are the expressions?
Step-by-step explanation:
Answer:
The most logical choice for the expression would be 5m + 5c = E
But it could also be 5(m + c) = E
When 20 large rooms are occupied, the total amount of money collected from the large room is $1800. When 10 large rooms and 21 small rooms are occupied, the hotel collects $2370. How much does the hotel charge for each small room?
PLEASE I NEED HELP ITS DUE TODAY!
Simplify the expression:
-5 – 3 (4x – 9)
Answer:
Step-by-step explanation:
lets remove the paranthesis and multiply
-5-3(4x-9)=
=-5-12x+27=
=-12x+22
A football team with a probability of 0.8 of winning a game plays 50 games in a season. What is the probability
of the team losing a game?
The length of a basketball court is twice its width. The perimeter is 150 feet. Find the length and width of the basketball court. On your worksheet, solve the question and write your answer below. What is length of the basketball court? What is the width of the basketball court?
Answer: W=25 and L=50
Step-by-step explanation: I first started out with 50, because 50 is half of 100. 50 divided by 2 equals twenty five. Now, I moved on to 100. 100 divided by 2 equals 50. 25+25+50+50=150.
Answer:
The width of the basketball court is 25 feet and the length is 50 feet
Step-by-step explanation:
Equations:
Let's make:
x = width of the basketball court
2x = length of the basketball court
The perimeter of the court is twice the width plus twice the length:
P = 2x + 2(2x)
P = 2x + 4x = 6x
It's known to be 150 feet, thus:
6x = 150
Dividing by 6:
x = 150/6
x = 25 feet
2x = 50 feet
The width of the basketball court is 25 feet and the length is 50 feet
True or False
calculator found in cp is better to use than an ordinary calculator in computing the number of seedling needed
paki explain po.
Answer:
for saken it is better to use ordinary calculator than cp because they have a big difference. That's all I can say
If it costs $0.15 per square inch for the cardboard label, then what is the cost for plan B?
Answer:
a box of plan B cost roughly $50.00
it is pretty expensive but you don't need an I.D.
Step-by-step explanation:
Prove that with any natural number n (5n-4)^2-(2n+11)^2 divides by 21
Answer:
let natural no be 1
(5.1-4)^2-(2.1+11)^2/21
25-16-4-121/21
-5.52
Step-by-step explanation:
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ted wants to buy a skateboard that is 59 dollars but is 30 percent off how much will he save
Answer:
Step-by-step explanation:
Ted will save $15.
Answer:
He will save $17.7.
Step-by-step explanation:
30% of 59= 41.3
59-41.3= 17.7
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Erika is working on solving the exponential equation 50x = 17; however, she is not quite sure where to start. Using complete sentences, describe to Erika how to solve this equation.
Hint: Use the change of base formula: log base b of y equals log y over log b.
Answer:
Step-by-step explanation:
A bag contains 19 cards numbered 1 through 19. A card is randomly chosen from the bag. What is the probability that the card has a multiple of 3 on it
Answer: 6/19
Step-by-step explanation:
To solve this question, find out the number of multiples of 3 between the numbers 1 - 19.
The multiples of 3 there are:
= 3, 6, 9, 12, 15 and 18
There are 6 multiples.
Probability will therefore be:
= Number of multiples of 3/ Total number of cards
= 6/19
A driver descends -15 after 1 minute, -30 feet after 2 minutes and -45 after 3 minutes? If the driver keeps descending at this rate, what is their position after 12 minutes
Answer:
I think it's -180
Step-by-step explanation:
He keeps descending -15 feet every 1 minute
1 x -15 = -15
2 x -15 = -30
12 x -15 = -180
If each of the two equations shown below are graphed in the same xy-coordinate plane, the graphs intersect. What is the x -coordinate of one of these points of intersection? y = 2x−9 y=−(x−1)2−7
Answer:
The graphs do intersect at two values of x;
x = 1
and
x = -1
Step-by-step explanation:
We have the two equations:
y = 2*x - 9
y = -(x - 1)^2 - 7
We know that when we graph these equations, the graphs do intersect.
if the graphs intersect, then we must have at least one point (x, y) that is a solution for both equations.
because in this point y is the same for both equations, then we can write:
2*x - 9 = y = -(x - 1)^2 - 7
this leads to the equation:
2*x - 9 = -(x - 1)^2 - 7
now we can solve this for x.
2*x - 9 + (x - 1)^2 + 7 = 0
2*x + x^2 - 2*x + 1 + 7 - 9 = 0
x^2 - 1 = 0
x^2 = 1
x = √1
Then we have two possible solutions:
x = 1, and x = -1
what is 3x(2-4x)
pls i need help
Answer:
6x−12x^2
Step-by-step explanation:
Answer:
Evaluated it is 6x-12x^2
Step-by-step explanation:
3x*2=6x
add minus sign
3x*4x=12x
Since 2 x add 2 as an exponent!
A cheer squad of 8 cheerleaders raised $317.30. They need $622.42 to
pay for the Homecoming dance. If each cheerleader raises the same
amount, how much more does each cheerleader need to raise?
Answer:
Each cheerleader needs to raise 38.14 more
Step-by-step explanation:
Answer:
They each need to raise $38.14.
Step-by-step explanation:
For this problem, I started off by subtracting 317.30 from 622.42.
(622.42-317.30) This gave us 305.12.
I did this, because we are trying to find the amount of money the cheerleaders have left to make.
Next, we will divide the difference of this equation (305.12) by 8.
We did this because there are 8 cheerleaders, and they all made the same amount of money.
This leaves us with an answer of:
Each cheerleader has exactly $38.14 left to make.
jane cycled 32km, correct to the nearest km.
write the least distance and the greatest distance Jane could have cycled.
least:
greatest:
Answer:
31.5
and
32,4
Step-by-step explanation:
A guitar string vibrates back and forth 88 times in 1 minute. Round your answers to the following questions to the nearest tenth.
How many times does it vibrate per second?
Answer:
1.5
Step-by-step explanation:
divide 88÷60=1.4666667
simplify to nearest 10th
The area of a circle is 16π ft². What is the circumference, in feet? Express your answer in terms of \piπ.
The circumference when the area of a circle is 16π ft² is 8π feet.
How to calculate the area?The area of a shape simply means the total space that is taken by the shape. It simply expresses the extent of the region on a particular plane as well as a curved surface.
From the information given the area of a circle is 16π ft² be we want to calculate the circumference, in feet. This will be Illustrated this:
Circumference of a circle = 2πr
Area of a circle = πr²
r = radius.
Therefore, based on the information regarding the area given, the radius will have to be calculated first.
Area = 16π
πr² = 16π
r² = 16π / π
r² = 16
r =✓16
r = 4
Radius = 4ft.
Therefore, the circumference will be:
= 2πr
= 2 × π × 4
= 8π
Circumference is 8π feet.
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The Lakewood Wildcats won 5 of their first 8 games this year. There are 32 games in the season. How many games would you expect the Wildcats to win this season?
Answer:
x=20
Step-by-step explanation:
Rewrite the equation as
x /32 = 5/ 8
Multiply both sides of the equation by 32
32 ⋅ x /32 = 32 ⋅ 5/8
Simplify both sides of the equation.
Cancel the common factor of
32
Cancel the common factor.
32· x/32 · 5/8Rewrite the expression.
x = 32 ⋅ 5/8
Simplify
32⋅5/8
Cancel the common factor of
8
Factor 8 out of 32
x = 8 ( 4 ) ⋅ 5/8
Cancel the common factor.
Rewrite the expression.
x = 4 ⋅ 5
Multiply 4 by 5
2. Determine the value of each variable for parallelogram INDY has diagonals that intersec at P.1P=3x DP = 6x - 2 NP = 3y and YP=7x-2,
Answer:
x = 2/3 and y = 8/9
Step-by-step explanation:
If a parallelogram INDY has diagonals that intersects at P, then O bisects ID and YN
Hence IP = PD and NP = YP
Given
IP=3x
DP = 6x - 2
NP = 3y and
YP=7x-2,
Substitute
3x = 6x-2
3x-6x = -2
-3x = -2
x = 2/3
x = 0.67
Also NP = YP
3y = 7x-2
3y = 7(2/3) - 2
3y = 14/3 - 2
3y = 14-6/3
3y = 8/3
9y = 8
y = 8/9
Hence x = 2/3 and y = 8/9
Determine the area of the triangle when tana=1 the image is in the picture above
Answer:
The area will be:
[tex]A=18(1+\sqrt{3}) \: u^{2}[/tex] or [tex]A=49.18 \: u^{2}[/tex].
Step-by-step explanation:
Using the definition of tangent, we have:
[tex]tan(\alpha)=\frac{6}{\vec{AB}}[/tex]
We know that tan(α) = 1, then we can find AB
[tex]1=\frac{6}{\vec{AB}}[/tex]
[tex]\bar{AB}=6\: u[/tex]
u means any unit.
Now, we need to find the distance BC. If the angle ∠D is 60°, then ∠C must be 30°. Using the tangent definition in the triangle BCD we have:
[tex]tan(30)=\frac{6}{\bar{BC}}[/tex]
[tex]\bar{BC}=\frac{6}{tan(30)}[/tex]
[tex]\bar{BC}=\frac{6}{1/\sqrt{3}}[/tex]
[tex]\bar{BC}=6\sqrt{3} \: u[/tex]
So, the base of the triangle will be:
[tex]b=\bar{AB}+\bar{BC}=6+6\sqrt{3}=6(1+\sqrt{3}) \: u[/tex]
The area of a triangle is given by the following equation:
[tex]A=\frac{b*h}{2}[/tex]
b is the base ([tex]b=6(1+\sqrt{3})\: u[/tex])h is the height (h=6 u)[tex]A=\frac{6(1+\sqrt{3})*6}{2}[/tex]
[tex]A=18(1+\sqrt{3})[/tex]
Therefore, the area will be [tex]A=49.18 \: u^{2}[/tex].
I hope it helps you!
PLS Helpppp
(4y – 3x – 2) – (7y + 4x +3).
you have to simplify, linear equations
Answer:
-3y - 7x - 5
General Formulas and Concepts:
Pre-Algebra
Distributive Property
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
(4y - 3x - 2) - (7y + 4x + 3)
Step 2: Simplify
Distribute negative: 4y - 3x - 2 - 7y - 4x - 3Combine like terms (y): -3y - 3x - 2 - 4x - 3Combine like terms (x): -3y - 7x - 2 - 3Combine like terms (Z): -3y - 7x - 5Solve for x. Leave your answer in simplest radical form.
SOMEONE HELP ME PLEASE I NEED IT, it needs to be in radical form
Step-by-step explanation:
step 1. let's call the line in the middle y.
step 2. y = sqrt(5^2 + 7^2) = sqrt(74). pythagorean theorem.
step 3. x^2 + y^2 =100 (pythagorean theorem))
step 4. x^2 + (sqrt(74))^2 = 100.
step 5. x^2 = 100 - 74
step 6. x^2 = 26
step 7. x = sqrt(26). note: sqrt is the square root.
The value of the x is [tex]\sqrt{26}[/tex].
To understand more, check below explanation.
Pythagoras theorem :Apply Pythagoras theorem in right side triangle,
Hypotenuse[tex]=\sqrt{5^{2}+7^{2} } =\sqrt{25+49}=\sqrt{74}[/tex]
Now apply Pythagoras theorem in the left side triangle,
[tex]Hypotenus^{2} +x^{2} =10^{2} \\\\(\sqrt{74} )^{2} +x^{2} =100\\\\x^{2} =100-74=26\\\\x=\sqrt{26}[/tex]
Hence, the value of the x is [tex]\sqrt{26}[/tex].
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Solve: -8(x - 3y - 9)
Your answer
Answer: −8x+24y+72
-8(x - 3y - 9)
=(-8)(x + -3y + -9)
=(−8)(x)+(−8)(−3y)+(−8)(−9)
=−8x+24y+72
Step-by-step explanation:
im not entirely sure but i hope this helps
:) have a nice day !!
Find the slope (rate of change) from the table. Simplify if necessary.
X
1
2
3
4
у
-3
-9
-21
-15
Answer:
i think it would be 2 because its in the middle of the slope and it would make scence
Step-by-step explanation:
the cos c of recycle Tin can varies directly as it's weight w in kilograms .if a junk shop pays 60 pesos per kilo of tin cans how many kilos should a junk shop pay an amount of 390 pesos
Answer:
Step-by-step explanation:
c = 60w
390 = 60w
w = 6.5 kilograms