Step-by-step explanation:
Bob's salary : $35000 per year plus 10% after one year
100% = 35000
1% = 100%/100 = 35000/100 = $350
10% = 10×1% = 10×350 = $3500
so in total, his salary will be $35000+$3500 = $38500 after one year.
Sam's salary : $3842.42 per month plus 5% after one year.
100% = $3842.42 per month. but to make it comparable to Bob's salary, we need to calculate the annual salary.
so, 100% 12×3842.42 = $46109.04
1% = 100%/100 = 46109.04/100 = $461.09
5% = 5×1% = 5×461.09 = $2305.45
so, in total, his salary will be $46109.04+$2305.45 = $
factorise the expression 6x²y + 15xy²
Write the digits used in binary number system
Answer:
Binary number is a number expressed in the base-2 numeral system or binary numeral system, a method of mathematical expression which uses only two symbols: typically "0" (zero) and "1" (one). The base-2 numeral system is a positional notation with a radix of 2.
For num in range (1,10) : if num is %2 = = 0: print (num)
yfd sat fltfurjbhviccyvihkjobkb 47 I have
Select the best answer to describe the parabola
Positive parabola that has a minimum.
It’s positive if it opens upward, negative if it opens downward. It has a minimum if it opens upward, and maximum when it opens downward.
rs 20736 was distributed to as many rupees as there were. how many students were there
This question is solved by proportions
Doing this, we found that there were 144 students.
20736 was distributed. The number of rupees for each student is the number of students.
Considering n students, the amount each student receives is:
[tex]A = \frac{20736}{n}[/tex]
Considering each student received n rupees:
[tex]n = \frac{20736}{n}[/tex]
Applying cross multiplication:
[tex]n^2 = 20736[/tex]
[tex]n = \sqrt{20736}[/tex]
[tex]n = 144[/tex]
Thus, there were 144 students.
A similar question can be found at https://brainly.com/question/23843273
Yesterday, the snow was 2 feet deep in front of Archie’s house. Today, the snow depth dropped to 1.6 feet because the day is so warm. What is the percent change in the depth of the snow?
The percent change in the depth of snow from yesterday to today is
%.
An airplane travels 4020 kilometers against the wind in 6 hours and 4800 kilometers with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the wind?
Answer:
Rate of plane 735 km/hr
Rate of wind 65 km/hr
Step-by-step explanation:
Calculation to determine the rate of the plane in still air
Let Va represent the velocity of the airplane
Let Vw represent the velocity of the wind
When flying with the wind:
(Va+Vw)*(6 hours) = 4800
6Va + 6Vw = 4800
6Vw = 4800 - 6Va
Vw=4800/6-Va
Vw = 800 - Va
When flying against the wind:
(Va-Vw)*(6 hours) = 4020 km
6Va - 6Vw = 4020
Substitute 800-Va for Vw and solve for Va:
6Va - 6(800-Va) = 4020
6Va -4800 + 6Va = 4020
12Va = 8820
Va=8820/12
Va = 735 km/hr
Therefore the rate of the plane in still air is 735 km/hr
Calculation to determine the rate of the wind
Rate of wind:
Vw = 800 - Va
Vw= 800 -735
Vw= 65 km/hr
Therefore the rate of the wind is 65 km/hr
Which of the following points lies on the graph of the equation y = 2x +5.
(2, 7)
(4, 9)
(0, 2)
(2, 9)
Help anyone can help me do the question,I will mark brainlest.
Answer:
Step-by-step explanation:
S=pi*R^2=(area of the sector)*(360/angle of AOB)
so 22/7*9^2=99*360/angle of AOB
-> AOB=140
perimeter of circle: 2*pi*R
permiter of sector : 2*pi*140/360*R+ 2R=22+9*2=40
Can you help please please helps
Answer:
2nd option
Step-by-step explanation:
Given
- np - 6 ≤ 3(c - 5) ← distribute
- np - 6 ≤ 3c - 15 ( add 6 to both sides )
- np ≤ 3c - 9
Divide both sides by - p , reversing the symbol as a result of dividing by a negative quantity.
n ≥ [tex]\frac{3c-9}{-p}[/tex]
please help me
solve (x+3) (x+7)
Step-by-step explanation:
Here, we'll need to multiply these two values together. I'll use the expansion formula, which goes as follows:
[tex](a+b)(c+d)[/tex]
Expand[tex]ac + ad + bc + bd[/tex]
Lets apply this to the following equation:
[tex](x+3) (x+7)[/tex]
Expand.[tex](x*x) + (x * 7) + (3 * x) + (3 * 7)[/tex]
Simplify.[tex](x^2) + (7x) + (3x) + (21)[/tex]
Remove parenthesis and add.[tex]x^2+10x+21[/tex]
Answer:
x^2+10x+21
Put the numbers into the boxes to represent the sum of the rational expression
given below.
Answer:
[tex]\frac{4x+9}{2x+5}[/tex]
Step-by-step explanation:
Cross multiply.Add like terms.Simplify.A factory produces 1, 250, 000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can be used to find the number of toys, N (in millions), being produced in t years?
The question is incomplete, the complete question is;
A factory produces 1,250,000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can be used to find the number of toys being produced, n (in millions), in t years?
A. n= 2.5(1.5)/t, t cannot = 0
B. n= 1.5t^2 + 1.25
C. n= 1.5t + 1.25
D. n= 1.25(2.5^t)
Answer:
D. n= 1.25(2.5^t)
Step-by-step explanation:
This is an exponential growth problem. In mathematics, for an exponential growth problem;
P = Po(1 + r)^t
Where;
P= amount at time t
Po =initial amount
r= rate
t= time
In the context of the question we have;
n= 1.25(1 + 150/100)^t
n= 1.25(2.5)^t
Solve for x: 5 [(x/6)-2] = 2x + 4
Answer:
-12 =x
Step-by-step explanation:
5 [(x/6)-2] = 2x + 4
Distribute
5/6x - 10 = 2x+4
Subtract 5/6x from each side
5/6x -10 -5/6x = 2x -5/6x +4
-10 =2x -5/6x +4
Subtract 4 from each side
-10-4 = 2x - 5/6x
Get a common denominator for the right side
-14 = 12/6x - 5/6x
-14 = 7/6x
Multiply each side by 6/7
-14 * 6/7 = 7/6 x * 6/7
-12 =x
Answer:
x = -12
Step-by-step explanation
Sara brought a car for 16,586 and paid 1,038 for tax, title, and registration.Which equation shows about how much Sara paid, to the nearest hundred?
Answer:
P+T+t+R=TA
Step-by-step explanation:
this should help
Answer:
17,600
Step-by-step explanation:
16,586 + 1,038 = 17,624 ≈ 17,600
What is the rule for the nth term for number sequence 2;5;7;12;19
Parallelogram JKLM is shown. If KR=X+7, KM = 3x - 5. and JL = 4x - 10.
what is JR?
2 points
K
R
569
27°
72°
M
Answer:
Step-by-step explanation:
In a parallelogram, this one in particular:
KR = RM
JR = RL
We are looking in the end for the length of JR, but that means that we need to solve for x somehow to plug in the expression for JL, and then split that in half. Here's how we're going to go about it. I know that
KM = KR + RM, but since KR and RM are the same length, the equation becomes
KM = 2KR. Filling that in with the expressions I'm given for KM and KR:
3x - 5 = 2(x + 7) and
3x - 5 = 2x + 14 and
x = 19. Now I can find the length of JL:
JL = 4x - 10 so
JL = 4(19) - 10 and
JL = 66
Knowing that JR = RL and JL is 66 units long, JR = RL = 33 units each.
Answer all
1) 4x*3x
2) 2/3+ 1/4
[tex]\large\textsf{Hey there!}[/tex]
[tex]\large\textsf{\# 1.}[/tex]
[tex]\large\textsf{4x} \times\large\textsf{3x}[/tex]
[tex]\large\text{COMBINE the LIKE TERMS}[/tex]
[tex]\large\textsf{4x}\times\large\textsf{3x = \bf 12x}\mathsf{\bf ^2}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \bf 12x}\bf ^2}}\huge\checkmark[/tex]
[tex]\large\text{\# 2.}[/tex]
[tex]\mathsf{\dfrac{2}{3}+\dfrac{1}{4}}[/tex]
[tex]\mathsf{= \dfrac{2\times4+1\times3}{3\times4}}[/tex]
[tex]\mathsf{2 \times 4 = \bf 8}[/tex]
[tex]\mathsf{1 \times 3 = \bf 3}[/tex]
[tex]\mathsf{3\times 4 = \bf 12}[/tex]
[tex]\mathsf{= \dfrac{8 + 3}{12}}[/tex]
[tex]\mathsf{8 + 3 = \bf 11}[/tex]
[tex]\mathsf{= \dfrac{11}{12}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf \dfrac{11}{12}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
please answer this!!
Answer:
b
Step-by-step explanation:
tan equal to (opposite side) /(adjacent side)
am not able to write root 3 on phone but its something like this
(a¤3)/a
in which¤3 is root 3
Find the value of x.
Step-by-step explanation:
here's the answer to your question
order the following radicals from the least to greatest without using a calculator. show your reasoning
[tex]2 \sqrt{6} [/tex]
[tex]5 \sqrt{10} [/tex]
[tex]4 \sqrt{2} [/tex]
[tex]3 \sqrt{3} [/tex]
Answer:
2*sqrt6 = 2*apprx2 = 4
5*sqrt10 = 5*3.1 = 15.5
4*sqrt2 = 4*1.4 = 6.4
3*sqrt3 = 3*1.7 = 5.1
4, 5.1, 6.4, 15.5 or... 2sqrt6, 3sqrt3, 4sqrt2, 5sqrt10
9/7 = please answer me
Answer:
[tex] \frac{9}{7} = 1.2857 = 1 \frac{2}{7} [/tex]
Answer:
Step-by-step explanation:
[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boldsymbol {\frac{9}{7}=1\frac{2}{7} \ \ or \ \ 1.(28571)}[/tex]
Simple geometry problem
Answer:
Step-by-step explanation:
I gather that you need to find the area of the sector and then subtract from it the area of the segment to get the area of the triangle (although there are other ways in which to find the area of the triangle).
The area of a sector is:
[tex]A=\frac{\theta}{360}\pi r^2[/tex] where our angle is given as 34, pi is 3.1415, and the radius is 5:
[tex]A=\frac{34}{360}(3.1415)(25)[/tex] and if you multiply and divide that all out you get that the area of the sector is:
A = 7.417
Now subtract from it the area of the segment, 2.209. to get the area of the triangle:
7.417 - 2.209 = 5.208
you should probably try reading the question first.
the arc measure and radius are given to you. now, it is up to you to use your brain and put two and two together. good luck.
Which best describes the relationship between the lines with equations – 7x + 2y = 3 and
-6x + 3y = 2?
The association between the given lines is that they are 'neither perpendicular nor parallel.'
To prove, let's convert the given equations in their slope-intercept form i.e. 'y = mx + b'
-7x + 2y = 3
2y = 7x + 3
y = 7/2x + 3/2
-6x + 3y = 2
3y = 6x + 2
y = 2x + 2/3
This shows that both the lines have different slopes, as well as, intercepts of y. And,
[tex]m_{1} * m_{2}[/tex] = 2 * 7/2 ≠ -1
Thus, it is not perpendicular also.
Therefore, option D i.e. 'neither perpendicular nor parallel' is the correct answer.
Learn more about 'slope' here:
brainly.com/question/10973849
A bus leaves Islamabad at 11:00 am and reaches Lahore at 3:00 p.m . If the distance bwtween Islamabad to Lahore is 380km , find the speed od the bus.
Answer:
Step-by-step explanation:
Hello!
11h-> 3h
=> 4h
380/4 =>95km/h
The two bases of a trapezoid measure 14 inches and 10 inches respectively. The trapezoid's height is 8 inches. What is the area of the trapezoid?
192 square inches
1120 square inches
140 square inches
96 square inches
Answer:
A = 96 inches ^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 ( b1+b2)h where b1 and b2 are the bases and h is the height
A = 1/2( 14+10)*8
A = 1/2(24)*8
A = 12*8
A = 96 inches ^2
The area of trapezoid is given
A = 1/2 (b1+b2)h where b1 and b2 is base and h is height
A = 1/2 (14+10)*8
A = 1/2 (24)*8
A = 12 * 8
A = 96 square inches ....
The length of a rectangle is 7 inches longer than it is wide. If the area is 60 square inches, what are the
dimensions of the rectangle?
Answer: 5 by 12
Step-by-step explanation:
Let's call the dimensions of the rectangle w and w+7
The area is 60, so we can do 60=w(w+7)
60=w^2+7w
w^2+7w-60=0 factor the quadratic equation
(w-5)(w+12)=0
w-5=0, w=5
w+12=0, w=-12
Since the length of a rectangle cannot be negative, w=5
the dimensions of the rectangle are 5 and 12
Hey plese helppppp . Question: Evaluate: b²- 4ac. if a=5, b=-2,c=-3
Answer:
64
Step-by-step explanation:
b²- 4ac
Let a=5, b=-2,c=-3
(-2)^2 - 4(5) (-3)
4 +60
64
Answer:
64
Step-by-step explanation:
(-2)^2 - 4(5)(-3)
4 - - 60
64
what fraction is equivalent to [tex]\frac{1}{6}[/tex]
Please help explanation if possible
Answer:
Step-by-step explanation:
The equation for the direct variation is, for us (using f and m instead of y and x):
f = km, where k is the constant of proportionality. We need to solve for this first using the first set of given values:
-19 = k(14) so
[tex]k=-\frac{19}{14}[/tex] Now plug that in with second set of givens, namely to find f when m is 2:
[tex]f=(-\frac{19}{14})(2)[/tex] and
[tex]f=-\frac{19}{7}[/tex]
