Answer:
[tex]g(w) = 210+ 10w[/tex]
Step-by-step explanation:
Given
[tex]f(w) = 250 + 10w[/tex]
[tex]Withdrawal = \$40[/tex]
Required
Determine g(w)
First, we'll write an expression for g(w)
From the question, we understand that she withdrew $40 from her account balance in w weeks.
This implies that:
[tex]g(w) = f(w) - 40[/tex]
Where f(w) is the account balance in w weeks and $40 is the withdrawn amount
Substitute 250 + 10w for f(w)
[tex]g(w) = 250 + 10w - 40[/tex]
Collect Like Terms
[tex]g(w) = 250 - 40+ 10w[/tex]
[tex]g(w) = 210+ 10w[/tex]
Recall that:
[tex]g(w) = f(w) - 40[/tex]
This means that function f(w) when shifter by 40 units downward, gives g(w)
Alex bought a television set for $900 and pay the sales tax of 8% how much did he pay for the television set
Answer:
$972
Step-by-step explanation:
900 * 0.08 = 72
900 + 72 = 972
Hope this helped, let me know if you need a better explanation!
Get it correct?!? You will get brainlest 5 starred AND thanked if not you will just get reported and warned :)
Answer:
7% increase
Have a nice day :)
Answer: Decay; -7% increase
You could also say "7% decrease" but it looks like your teacher wants "increase" in there, so you have to make the value negative.
=============================================================
Explanation:
The base of the exponential is 0.93
Compare this to 1+r and we see that 1+r = 0.93 solves to r = -0.07
The negative r value indicates exponential decay. Specifically we have 7% decay. The amount is decreasing by 7% each time x increases by 1 unit.
The phrasing "7% decrease" is the same as "-7% increase", though in my opinion, "7% decrease" sounds more natural and easier to conceptualize.
A box contains 90 discs numbered from 2 to 90. If one disc is drawn at a random, find the probability that it bears a two digit number
Step-by-step explanation:
Let E be the event of drawing a disc from the box of discs numbered from 1 to 90
Two digit numbers from 1 to 90=10,11,12,.....,90
No. of favorable outcomes=81
Total no. of possible outcomes =90
We know that, Probability P(E) =(Total no.of possible outcomes)(No.of favorable outcomes)=9081=109
Therefore, the probability of a two digit numbered disc from the box of discs numbered from 1 to 90=109
hope it helps !
Help easy math question!!!
Answer:
16 feet
Step-by-step explanation:
This ladder and building creates a right triangle with 34 as the hypotenuse and 30 as a side. the Pythagorean theorem says that a^2 + b^2 = c^2 so 900 + b^2 = 1156. b^2 = 256, square root both sides and you get b = 16
Answer:
16 feet
Step-by-step explanation:
use Pythagorean theorem
a^2 + b^2 = c^2
a^2 + 30^2 = 34^2
a^2 + 900 = 1156
move 900 to the right to leave the a variable by itself
a^2 = 256
take the square root of both sides
a = 16
solve 2x^2+9x-7=0
Give your solutions correct to 3 significant figures.
Answer:
X = -1 or X = -3.5
Step-by-step explanation:
2x^2 + 9x + 7 = 0
ac = 14
b = 9
find a two numbers which when you multiply you get 14 and add you get 9.
so it will 2 and 7. (they replace b which is 9x)
therefore: 2x^2 + 2x + 7x + 7 = 0
find common factors using each 2 from the four.
2x( x + 1) + 7 (x+1) = 0
so it will be (2x + 7) (x+1) = 0
find x,
i) 2x +7 = 0
x= -3.5
ii) x + 1 = 0
x = -1
Tammy and Jodi assembled 420 circuit boards in 8 hours. The next day they assembled 36 more circuit boards in the same amount of time. What was their average rate on the second day?
Answer:
fifty seven
Step-by-step explanation:
-4x <8 solve the inequality
Answer:
x>−2
Step-by-step explanation:
−4x<8
Step 1: Divide both sides by -4.
−4x
−4
<
8
−4
x>−2
What is the sign of the product of three integers with the same sign? Explain your thinking
Answer:
The same sign that the integers have
Step-by-step explanation:
When 3 positive numbers are multiplied together, the product will be positive. In fact, when any number of positive numbers are multiplied together, the product will always be positive.
Examples: 5*7*14=490
1*2*3*4*5*6*7=5040
When 3 negative numbers are multiplied together, the product will be negative. Two negatives make a positive and a negative and a positive will make a negative. Because the product of the first two numbers will be positive, the final product will be negative.
Examples:
(-9)(-2)(-5)
Two negatives make a positive
= 18(-5)
A negative and a positive make a negative
= -90
I hope this helps! Please comment if you have any questions :)
PQR~TSR,find the length of SRe
Answer:
SR = 17.56
Step-by-step explanation:
Formula = PR * RT = SR * RQ
60 * (4x - 26) = 38 * (2x - 1)
Solve for x
240x - 1560 = 76x - 38
164x = 1522
x = 9.28
Solve for SR
2x - 1
2(9.28) - 1
SR = 17.56
The value of the variable 'x' is 29. Then the length of the side SR will be 57 units.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The triangle ΔPQR is similar to the triangle ΔTSR. Then the ratio of the corresponding side will be constant.
SR / RQ = RT / PR
(2x - 1) / 38 = (4x - 26) / 60
(2x - 1) / 19 = (2x - 13) / 15
19(2x - 13) = 15(2x - 1)
Simplify the equation further, then we have
38x - 247 = 30x - 15
38x - 30x = 247 - 15
8x = 232
x = 232 / 8
x = 29
Then the length of the side SR will be given as,
SR = 2(29) - 1
SR = 58 - 1
SR = 57
The value of the variable 'x' is 29. Then the length of the side SR will be 57 units.
More about the triangle link is given below.
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What is the greatest common factor of 16, 8, and 44?
the greatest common factor is 4
The length of a flower garden is 9 meters. The width of the garden, w, is unknown. If the area of the garden is greater
than 45 square meters, what are the possible values of w, its width, in meters?
OW> 36
Ow< 36
OW> 5
O w<5
Answer:
The width should be more than 5 m. So it can be 6,7 ...
Step-by-step explanation:
The length of a flower garden is = 9 m
The width of a flower garden is = w
The area of a flower garden > 45 sq. m
The area of a flower garden = l * b
l * b > 45
9 * b > 45
the width should be more than 5 m. So it can be 6,7 ...
My mom recommends that my sister and I drink 6 liters of water every day. There are approximately 29.6 milliliters in 1 fluid ounce. What is the measurement to the number of fluid ounces in 6 liters?
Answer:
there are 202.884 fluid ounces in 6 liters
Step-by-step explanation:
your mom wants you to drink a lot of water
which expression is equivalent to 4(x+7)
Answer:
4x + 28
Step-by-step explanation:
Here, what you need to do is multiply 4 by x, and then 4 by 7. It's really just the distributive property doing its work.
4(x + 7)
(4 * x) + (4 * 7)
4x + 28 is the new expression.
Question 19 of 25
The graph of a certain quadratic function has no x-intercepts. Which of the
following are possible values for the discriminant? Check all that apply
A.0
B.-7
C.18
D.-25
Chris is buying stones to landscape his garden he needs 115.75 pounds of stones if the stones cost$0.24 per pound How much money will he spend round to the nearest cent if necessary$0.24 per pound
The amount that will be needed for all the stones will be $27.78.
How to calculate the cost?From the information, Chris is buying stones to landscape his garden he needs 115.75 pounds of stones if the stones cost $0.24 per pound.
Therefore, the amount that will be needed for all the stones will be:
= $0.24 × 115.75
= $27.78
The amount needed is $27.78.
l
Learn more about cost on;
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What is 55% of 35?
pls help
Answer:
55% of the number 35 is 19.25.
Hope this helps!
Asap anwer plssssss!!! Ed can ride 30km on the bicycle in the same time it takes him to walk 14km. If his riding rate is 10kph faster than his walking rate, what is his walking rate
Answer: 8.75
Step-by-step explanation:
Let walking rate = x
Riding rate = x + 10
Time taken to ride 30km = time taken to walk 14 km
Time = distance / speed
Hence,
30/ (x + 10) = 14 / x
Cross multiply :
30x = 14( x + 10)
30x = 14x + 140
30x - 14x = 140
16x = 140
x = 140 / 16
x = 8.75
Walking rate = 8.75 kph
can anyone answer the questions asked in the picture?
Help please I put a picture
Answer:
Q' is at 0, 1.
J' is at 5, 3.
H' is at 3, 5.
Step-by-step explanation:
Whoopsiedaisy nearly botched it up
a positive integer n not exceeding 100 is chosen in such a way that if n ≤ 50 , then the probability of choosing n is p , and if n > 50 , then the probability of choosing n is 3 p . the probability that a perfect square is chosen is (a) 0.05 (b) 0.065 (c) 0.08 (d) 0.09 (e) 0.1
The probability that a perfect square is chosen is 0.08;
P represents the likelihood of selecting the number 'n' such that n>50. There are exactly 7 perfect squares less than 50. Therefore, there is a 7/50 chance of having a perfect square that is less than or equal to 50.
The likelihood of selecting the number "n" such that n>50 is also given as 3p. From 50 to 100, there are precisely 3 perfect squares. Therefore, there is a 3/50 chance of having a perfect square that is higher than 50 and less than or equal to 100.
The chance of selecting any number between "1" and "100" is p+3p=4p.
The probability that the chosen number is a perfect square and less than or equal to 50 is p × 7/50;
The odds that the selected number is larger than 50 but not higher than 100 and a perfect square are 3p × 3/50;
Consequently, the likelihood that any selected number is a perfect square is (p×7/50+3p×3/50)÷4p
If we simplify, we have 0.08.
To learn more about probability this; visit: https://brainly.com/question/21217892
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A chord of a circle is equal to the radius of the circle, name the figure obtained.
Answer:
diameter
Step-by-step explanation:
that's the answer i think
Determine which lines, if any, are parallel or perpendicular. Explain.
Line a passes through (0,4) and (4,3).
Line b passes through (0, 1) and (4,0).
Line c passes through (2,0) and (4,4).
are parallel, because they have
Ja are perpendicular, because they
have slopes that are
Help!!!
Answer:
line a and b are parallel, there is no perpendicular lines
Step-by-step explanation:
Looking at the slope of each line, you can identify whether the lines are parallel, perpendicularlar, or neither.
When the slopes are the same, they are parallel.
When the slopes have opposite sign and numerator and denominator flipped, they are perpendicular. Ex. [tex]\frac{a}{b}[/tex] and [tex]-\frac{b}{a}[/tex] are perpendicular slopes.
Finding slope is using the formula: [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
Line a has slope [tex]\frac{3-4}{4-0}[/tex] = [tex]-\frac{1}{4}[/tex]
Line b also has slope [tex]-\frac{1}{4}[/tex]
Line c has slope 2
Since slope of line a and b are same, they are parallel.
Line c is not perpendicular to line a and b because the slope should have opposite sign and numerator and denominator flipped, which is 4 not 2.
Solve for w.
- 20.7 = -1.5+w/6
Answer:
w=−115.2
Step-by-step explanation:
what is the total price of a $48 jacket with 8% sales tax
whats 2+2
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fv;dfjnvalb
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whats my fav football team the person who gets it right gets brainliest
A Pats
B Cheifs
C Panthers
D Steelers
A kangaroo hops 2 kiliometers in 3 minutes. At this rate: How far does the kangaroo travel in 6 minutes?
Answer:
4km
Step-by-step explanation:
Doctor Forrest charges $60 for a home visit plus an additional fee of $12.50 per hour spent with the patient. Doctor Forrest arrives at a patient’s home at 9:30 am. The total bill for the visit was $97.50. What time did the doctor leave the patient's home?
Answer: 12:30 p.m
Step-by-step explanation:
h=hours
97.5=60+12.5h
12.5h=37.5
h=3
9:30 a.m.+h=
9:30 a.m.+ 3=12:30 p.m
Help if you can plz!!!
6. Which expressions are equivalent to
4(x - 1)? Circle all that apply.
Answer:
C, E
Step-by-step explanation:
it is