Answer:
[tex]W= 4700+0.02S[/tex]
Step-by-step explanation:
Given that
W is the monthly wage
S is the monthly sales
According to the problem statement, salesperson receives a monthly salary of $4700 (sales or no sales made he/she gets that amount)
Also plus 2% commission of sales made for the month added to the wage
we can model his/her wage as follows
[tex]W= 4700+ (2/100)S\\\\ W= 4700+0.02S[/tex]
Hence the model for the monthly wage is [tex]W= 4700+0.02S[/tex]
write 1,245 in word form
Answer:
One thousand two hundred and forty five.
Hope this helps! （づ￣3￣）づ╭❤～
Step-by-step explanation:
PLEASE HELP URGENT AND EXPLAIN FOR 25 POINTS MUST BE CORRECT Brielle bought an apartment building for $202,444. The value of the real estate appreciated at a constant rate per year. The table shows the value of the apartment building after the first and second years: Year 1 2 Value (in dollars) $212,566.20 $223,194.51 Which function best represents the value of the apartment building after t years? f(t) = 202,444(0.05)t f(t) = 202,444(1.05)t f(t) = 212,566.20(1.05)t f(t) = 212,566.20(0.05)t
Answer:
f(t) = 202,444(1.05)^t
Step-by-step explanation:
Simple Interest Rate Formula: A = P(1 + r)^t
A = final amount
P = principle amount
r = interest rate
t = time
Step 1: Find rate r
212,566.20 = 202,444(1 + r)¹
1.05 = (1 + r)¹
1.05 = 1 + r
r = 0.05
Step 2: Define variables
P = 202,444
r = 0.05
Step 3: Plug in variables into formula
A = 202,444(1 + 0.05)^t
A = 202,444(1.05)^t
what is the angle taken in clockwise direction between : (1) North- east and north- west .
Answer:
I think the answer is both
Answer
hope this helps
The equation of line WX is 2x + y = −5. What is the equation of a line perpendicular to line WX in slope-intercept form that contains point (−1, −2)?
Answer:
Step-by-step explanation:
y = -2x - 5
perp. slope: 1/2
y + 2 = 1/2(x + 1)
y + 4/2 = 1/2x + 1/2
y = 1/2x - 3/2
#5 Find the distance between the points on the graph.
Answer:
approximately 12.04 units
Step-by-step explanation:
We'll use the Pythagorean Theorem to solve this problem.
There are two points here. The horizontal distance between them is 8 units and the vertical distance is 9.
According to the Pythagorean Theorem (or the Distance Formula), the distance between the two points is
d = √(8^2 + 9^2) = √(64 + 81) = √145 units, or approximately 12.04 units.
Repost because someone answered without actually giving an answer. What is the mode of the data shown in the table? Scores: 5 12 13 18 Frequency: 3 2 5 4 A. 12 B. 51.5 C. 12.5 D. 13
Answer:
Option (D) : 13
Step-by-step explanation:
Mode is the observation which occurred the most number of time.
Therefore, mode = 13
It is estimated that 52% of drivers text while driving . What is the probability the next driver texting while driving that a police officer pulls over is the fifth driver?
Answer:
0.0276
Step-by-step explanation:
The computation of the probability that the next driver is texting while driving is shown below:
= Fourth pull failure × fifth pull success
where,
Fourth pull failure is (1 - 0.52)^4
And, the fifth pull success is 0.52
Now placing these values to the above formula
So,
= (1 - 0.52)^4 × 0.52
= 0.0276
Hence, the probability is 0.0276
What expression has the same value as -3/2-(2-3/8)+3/2
Answer:
[tex]\dfrac{-3}{2}-(2-\dfrac{3}{8})+\dfrac{3}{2}=\dfrac{-13}{8}[/tex]
Step-by-step explanation:
We need to find the value of expression [tex]\dfrac{-3}{2}-(2-\dfrac{3}{8})+\dfrac{3}{2}[/tex].
Firstly solving the second term as :
[tex](2-\dfrac{3}{8})=\dfrac{16-3}{8}=\dfrac{13}{8}[/tex]
Now the above expression becomes,
[tex]\dfrac{-3}{2}-(2-\dfrac{3}{8})+\dfrac{3}{2}\\=\dfrac{-3}{2}-\dfrac{13}{8}+\dfrac{3}{2}[/tex]
-3/2 and +3/2 equals 0.
It means that, [tex]\dfrac{-3}{2}-(2-\dfrac{3}{8})+\dfrac{3}{2}=\dfrac{-13}{8}[/tex]
1-Determine a solução dos sistemas abaixo pelo método de adição: a) {x + y = 5 {2x- y=9 b) {3x - y = 10 {x + y =18 Prfvr gente
a)
X + Y = 5
2X - Y = 9
X + 2X + Y - Y = 5 + 9
3X = 14
X = 14/3Para Y, basta substituir o valor de X em qualquer uma das 2 equacoes - arbitrariamente. Escolhendo a primeira:
X+ Y = 5
14/3 + Y = 5
Y = 5 - 14/3
Y = 1/3.........................
b)
3X - Y = 10
X + Y = 18
3X + X - Y + Y = 10 + 18
4X = 28
X = 7Para Y, basta substituir o valor de X em qualquer uma das 2 equacoes - arbitrariamente. Escolhendo a segunda:
X + Y = 18
7 + Y = 18
Y = 18 - 7
Y = 11Part
This table shows the prices of the three TVs in addition to their length and width. Is the price of a TV proportional to the length of its screen? How
do you know
Answer:
No! They are not proportional!
Step-by-step explanation:
Proportional prices to the length means that
(price 1/length 1)=(price 2/length 2)=(price 3/length 3)
Even by plugging in the numbers yourself to double check my numbers, and getting and answer for each ratio, it is clear that they are not proportional.
Answer:
The ratio of screen length to price in the first row is 16/160, which simplifies to 1/10.
The ratio of screen length to price in the second row is 20/180, which simplifies to 1/9.
The ratio of screen length to price in the third row is 24/200, which simplifies to 3/25.
Because 16/160 doesn't = 20/180 doesn't = 24/200, the ratios are not equivalent. This is not a proportional relationship.
Simplify:
[tex] \frac{ {a}^{5} {b}^{8} }{ {a}^{4} {b}^{10} } [/tex]
HELP! answer if you can !
Answer:
a^5b^8/a^4b^10
= a^5-4 b^8-10
= a^1 b^-2
= a/b^2
I hope this helps
if u have question let me know in comments ^_^
BRAINLIEST!!!
What are the coordinates of P?
Answer:
Step-by-step explanation:
A kite is symmetrical about its vertical axis, so
if it is a kite, P is the reflection of (b,0), so its coordinates are
(-b,0) by reflection about the y-axis.
FOLLOW THE STEP: reduce to simplest form
-7/12 + 3/8 = ______
Answer:
-5/24
Step-by-step explanation:
get a common denominator = 24
-14/24 + 9/24 = -5/24
Answer:-5 /24 ez
Step-by-step explanation:
The graph of function f is shown. Function g is represented by the equation. Look at the graph and picture!
Answer: B) different y intercepts; same end behavior
=======================================================
Explanation:
The graph shows the y intercept is 4 as this is where the green curve crosses the vertical y axis.
The y intercept of g(x) is 6 which can be found by plugging x = 0 into the g(x) function
g(x) = 4(1/4)^x + 2
g(0) = 4(1/4)^0 + 2
g(0) = 6
So we can see the y intercepts are different.
----------
However, the end behaviors are the same for each function. The left side of f(x) goes up forever to positive infinity. The same is true for g(x). You could use a graphing calculator or a table to see this. As x heads to negative infinity, y goes to positive infinity.
In terms of symbols, [tex]x \to -\infty, y \to \infty[/tex]
----------
For the right side of f(x), it slowly approaches the horizontal asymptote y = 2. It never actually reaches this y value. The same happens with g(x). The portion 4(1/4)^x gets smaller but never gets to 0 so overall 4(1/4)^x+2 gets closer to 2. We can say that as x approaches infinity, y approaches 2.
In terms of symbols, [tex]x \to \infty, y \to 2[/tex]
If a = 6, which of the following is equal to a^-2?
-36
-12
1/6^2
6^2
Answer:
[tex]\frac{1}{6^{2} }[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex]
Given a = 6, then
[tex]6^{-2}[/tex] = [tex]\frac{1}{6^{2} }[/tex]
The 3rd option is correct i.e. if a = 6, then by the property of exponentiation, we can conclude that a⁻² = 1/6².
What is exponentiation?Exponentiation is a mathematical operation that involves two numbers, the base b, and the exponent or power n, and is pronounced as "b raised to the power of n." It is written as bⁿ and is pronounced as "b raised to the power of n."
When n is a positive integer, bⁿ = b × b × b ×...× b (n times)
and b⁻ⁿ = 1/bⁿ ...(1)
When n = 0, bⁿ = 1
How to solve this problem?Given that a = 6 and n = 2.
Using (1), we get
a⁻² = 6⁻² = 1/6²
Therefore, the 3rd option is correct i.e. if a = 6, then by the property of exponentiation, we can conclude that a⁻² = 1/6².
Know more about exponentiation here -
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Please help! Algebra 1.
Answer:
The correct answer is B.
Step-by-step explanation:The entrance fee ($18) and the cost per ball ($0.08B) added together should equal greater or equal to $75 in order to receive $10 off.
Observe the figure drawn, in which a square of side 15cm is removed from one corner of the given rectangle. Find the perimeter of the shaded region. Pls answer, no other irrelevant answer. Pls solve this. I will follow you if you do it. It's urgent!!!
Step-by-step explanation:
Let's start by finding the area of figure 1
The square:
15cm×15cm=225cm²
Then we're going to find the area of figure 2
it's a rectangle (A=L×W)
L=60cm-15cm(because those cm have been cut off)=45cm
W=40cm
Area=45cm×40cm
=1800cm²
Then we add up the sum
Area of 1+Area of 2
=225cm²+1800cm²
=2025cm²
Answer:
140 cm is the perimeter of the unshaded shape.
Step-by-step explanation:
Perimeter of the rectangle in whole = 2l + 2w
Where length is 60 cm and width is 40 cm.
P = 2 × 60 + 2 × 40
= 120 + 80
= 200 cm
To find the perimeter of the unshaded square = 4l
Where the length is 15 cm.
P = 4× 15
= 60 cm
To find the perimeter of the shaded shape = Perimeter of rectangle - Perimeter of unshaded square.
P = 200 - 60
= 140 cm
140 cm is the perimeter of the unshaded shape.
PLEASE help me with this question! This is really urgent! No nonsense answers please.
Answer:
Option A) A = 100(1.005)^12t
Step-by-step explanation:
The formula for Total Amount obtained using compound interest is given as:
A = P( 1 + r/n) ^nt
Where
A = Total amount received or obtained after investing
P = Principal or Initial Amount invested
r = interest rate
n = rate or number of times the interest is compounded
t = time in years.
In the question we obtained this values
P = $100
r = 6% = 0.06
n = compounded monthly, we have 12 months in a year, hence, n = 12
t = t
Using the compound interest formula for Amount A,
A = P( 1 + r/n) ^nt
A = 100(1 + 0.06/12)^12 × t
A = 100(1 + 0.005)^12t
A = 100(1.005)^12t
Therefore, the value of Mari's Investment if the interest is compounded monthly is
A = 100(1.005)^12t
Hence, Option A is correct.
-8 + 4m = 2. What is m?
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Hi my lil bunny!
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Let's solve your equation step-by-step.
[tex]-8 + 4m = 2[/tex]
Step 1: Simplify both sides of the equation.
[tex]4m - 8 = 2[/tex]
Step 2: Add 8 to both sides.
[tex]4m - 8 + 8 = 2 + 8 \\4m = 10[/tex]
Step 3: Divide both sides by 4.
[tex]\frac{4m}{4} = \frac{10}{4} \\m = \frac{5}{2}[/tex]
Answer : [tex]\boxed {m = \frac{5}{2} }[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
(2x2 - 4x + 7) + (3x3 - 9x)
-
What is the product?
(-3s +2)(4s-1)
Answer: -12s + -2
Step-by-step explanation: You need to combine the like terms so -3sx4s = -12s and 2+-1 = -2 so it’s -12s + -2 or -12s - 2
Answer:
-12s²+11s-2
Step-by-step explanation:
(-3s+2)(4s-1)
First you have to FOIL (First, inner, outter, last)
First: -3s × 4s
Inner: -3s × -1
Outter: 2 × 4s
Last: 2 × -1
Now you should have -12s² + 3s + 8s -2
----------------------
Next you combine your like terms
Finally you have your answer, -12s²+11s-2 .
is 7.2 a repeating or terminating decimal
Answer: terminating
Step-by-step explanation:
Answer:
7.2 is a terminating decimal.
Step-by-step explanation:
Terminating decimals are decimals that have an end point. The decimal does not continue to go on and on with numbers but, it stops at one number which makes it terminating.
Repeating decimals are decimals that go on and on with the same number or same patterns of numbers.
So, since 7.2 has an endpoint, then it is a terminating decimal.
It takes the average person 5 days, 4 hours, and 600 minutes to walk 100 miles. How many hours does it take for the average person to walk 100 miles? Show all work for solving. You will lose points if you do not use two conversion factors.
[tex] 5 day= 120h \\ 600m = 10h \\ 120 + 10 + 4 = 134h[/tex]
Is MNO=PQR? If so, name the congruence postulate that applies.
Given:
ME=PQ
NO=QR
MO=PR
A. Congruent - ASA
B. Congruent - SSS
C. Congruent - SAS
D. Might not be congruent
Answer:
B. Congruent - SSS
Step-by-step explanation:
Since, corresponding sides of both the triangles are congruent. Hence, both the triangles are congruent by SSS Postulate.
ΔMNO ≅ ΔPQR due to Congruent-SSS
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
Given:
In ΔMNO and ΔPQR
Side ME=Side PQ
Side NO=Side QR
Side MO=Side PR
MNO ≅PQR
Since, corresponding sides of both the triangles are congruent.
So, both the triangles are congruent by SSS Postulate.
Hence , ΔMNO ≅ ΔPQR
learn more about of congruent triangles
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Solve for m 5m+35=70
Answer:
m=7
Step-by-step explanation:
subract 35 from both sides to isolate the variable. Then you should be left with 5m=35. From there, divide both sides to isolate the variable even more, and you should be left with m=35/5 which is 7.
Answer: m=7
Step-by-step explanation:
[tex]5m+35=70[/tex]
subtract 35 on both sides
[tex]5m+35-35=70-35[/tex]
[tex]5m=35[/tex]
divide 5 on both sides
[tex]35/5=7[/tex]
[tex]m=7[/tex]
PLEASE help me with this question! This is really urgent! No nonsense answers please.
Answer:
Last statement is the true one: AH congruent with AB
Step-by-step explanation:
Since the FG is congruent with KC, then the central angles defined by this chords are the same. and since the segments AH and AB are perpendicular to the segments GF and KC respectively (intersecting them at exactly half of their length), they form right angle triangles of which the hypotenuse is the actual radius of the circle, one of the legs of these triangles is half of the segments GF and KC of equal length. Then the third legs of those right angle triangles (AH and AB) must be equal as well.
Please Help! Three times the quantity of a number increased by 7 is equal to the same number decreased by 15
The equation is written as 3x + 7 = x - 15. And the solution of the equation will be negative 11.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Multiple times the amount of a number expanded by 7 is equivalent to a similar number diminished by 15.
Let the number be 'x'.
The three times the number plus 7. Then the expression is given as,
⇒ 3x + 7
The number 'x' is decreased by 15. Then the expression is given as,
⇒ x - 15
Both expressions are equal to each other. Then we have
3x + 7 = x - 15
3x - x = - 15 - 7
2x = - 22
x = - 11
The equation is written as 3x + 7 = x - 15. And the solution of the equation will be negative 11.
More about the solution of the equation link is given below.
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solve for x 5(x+1)=4(x+8)
Answer:
x=27
Step-by-step explanation:
expanding the above expression we get
5x+5=4x+32
grouping numbers with coefficient of x at the left side and constant at the right side we get
5x-4x=32-5
x=27
ajhejskxnkrlsncjeksuf9
Use the diagram to complete the statement. Triangle J K L is shown. Angle K J L is a right angle. Angle J K L is 52 degrees and angle K L J is 38 degrees. Given △JKL, sin(38°) equals cos(38°). cos(52°). tan(38°). tan(52°).
Answer:
[tex]\bold{sin(38^\circ)=cos(52^\circ)}[/tex]
Step-by-step explanation:
Given that [tex]\triangle KJL[/tex] is a right angled triangle.
[tex]\angle JKL = 52^\circ\\\angle KLJ = 38^\circ[/tex]
and
[tex]\angle KJL = 90^\circ[/tex]
Kindly refer to the attached image of [tex]\triangle KJL[/tex] in which all the given angles are shown.
To find:
sin(38°) = ?
a) cos(38°)
b) cos(52°)
c) tan(38°)
d) tan(52°)
Solution:
Let us use the trigonometric identities in the given [tex]\triangle KJL[/tex].
We have to find the value of sin(38°).
We know that sine trigonometric identity is given as:
[tex]sin\theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]sin(\angle JLK) = \dfrac{JK}{KL}\\OR\\sin(38^\circ) = \dfrac{JK}{KL}[/tex]....... (1)
Now, let us find out the values of trigonometric functions given in options one by one:
[tex]cos\theta =\dfrac{Base}{Hypotenuse}[/tex]
[tex]cos(\angle JLK) = \dfrac{JL}{KL}\\OR\\cos(38^\circ) = \dfrac{JL}{KL}[/tex]....... (2)
By (1) and (2):
sin(38°) [tex]\neq[/tex] cos(38°).
[tex]cos(\angle JKL) = \dfrac{JK}{KL}\\OR\\cos(52^\circ) = \dfrac{JK}{KL}[/tex] ...... (3)
Comparing equations (1) and (3):
we get the both are same.
[tex]\therefore \bold{sin(38^\circ)=cos(52^\circ)}[/tex]
Answer:
B in EDG
Step-by-step explanation:
