t h e A n s w e r i s:
x = - 1 / 2
explaintion
Caiden earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 2 years?
Answer:
$511.575
Step-by-step explanation:
Given data
P=$475
R=3.8%
T= 2 years
Compound interest
A=P(1+r)^t
substitute
A=475(1+0.038)^2
A=475(1.038)^2
A=475*1.077
A=511.575
Hence the final amount is $511.575
The longest side of a triangle is 8 more units than the shortest side. The third side is 4 times the length of the shortest side. If the perimeter of the triangle is 32 units, write and solve an equation to find the length of all 3 sides of the triangle
Answer:
10 3/4, 4 3/4, and 9 1/2
Step-by-step explanation:
We're going to let x represent the length of the longest side. The perimeter is
x +(x-6) +2(x-6) = 25
4x -18 = 25
4x = 43
x = 43/4 = 10 3/4
Then x-6 = 4 3/4.
Multiply that two to get 8 3/2 = 9 1/2
I hope this helped! :)
-5x -2y= -9
8x + 8y= 24
Answer:
x=5
y=-17
Step-by-step explanation:
basically what I did was:
1) I multiplied the first equation by 4 , solved for x
2) I used the value of x that i found and substituted in one of the equations to find y
Answer: x=0 y=2
..................
A new watch costs $38.85, and a new bracelet costs $22.38. If Maddy buys both, how much does she spend?
Answer:
maddy will spend $61.23
Step-by-step explanation:
add $22.38 to $38.85
Divide Rs 36 between Avni and Namitha in the ratio of 5:4. Find how much each will get
Step-by-step explanation:
Avni's ratio = 5/9
Money of Avni = 36*5/9= 20
Namitha's ratio= 4/9
Money of namitha = 36*4/9= 16
How many solutions does the system have? ?
y = -27 -4
y = 3x +3
Answer:
-27-4=3x+3
-30-3=3x
X=-11
8th grade teachers and students from M.I.T went on a field trip to an zoo. Tickets
were $5.00 each for teachers and$3.50 each for students, and the group paid
$51.50 in total.A few weeks later, the same group visited a natural history
museum where the tickets cost $20.00 each for teachers and $8.50 each for
students, and the group paid $156.50 in total.
Find the number of teachers and students on the field trips.
A 4 Teachers and 9 Students
4 Teachers and 10 Students
3 Teachers and 9 Students
D None of the above
As there are multiple answers going with trial and error seems good in this case.
A
5.00 + 5.00 + 5.00 + 5.00 = 20.00
3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 = 31.5
20.00 + 31.5 = 51.5
B
5.00 + 5.00 + 5.00 + 5.00 = 20.00
3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 = 35.00
20.00 + 35.00 = 55.00
C
5.00 + 5.00 + 5.00 = 15.00
3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 = 31.5
15.00 + 31.5 =46.5
Knowing that for the first one all A,B, and C were wrong we can determine that D is the answer. But wait if I made one mistake and didn't understand if $156.5 is equivalent to $156.50 that would mean A is correct.
Always recheck your answers and good luck,
Jon
Whats 2/3×(-3) this is multiplication
Answer: -2
your welcome :)
The prime factorization of 16x5
Answer:
well first 16x5=80
2 * 2 * 2 * 2 * 5
Step-by-step explanation:
Hope that helps! :)
The midpoint of overline AB is M(0, - 7) . If coordinates of A are (- 2, - 6) , what are the coordinates of B?
Given:
The midpoint of overline AB is M(0, - 7) .
The coordinates of A are (- 2, - 6).
To find:
The coordinates of point B.
Solution:
Let the coordinates of point B are (a,b).
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
The midpoint of overline AB is M(0, - 7). Using the midpoint formula, we get
[tex]M=\left(\dfrac{-2+a}{2},\dfrac{-6+b}{2}\right)[/tex]
[tex](0,-7)=\left(\dfrac{-2+a}{2},\dfrac{-6+b}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{-2+a}{2}=0[/tex]
[tex]-2+a=0[/tex]
[tex]a=2[/tex]
And,
[tex]\dfrac{-6+b}{2}=-7[/tex]
[tex]-6+b=-14[/tex]
[tex]b=-14+6[/tex]
[tex]b=-8[/tex]
Therefore, the coordinates of point B are (2,-8).
Robert has 6 pints of water to use on 5 plants.
If Robert gives each plant the same amount, how many pints of water will each plant get?
A. 5/6
B. 1
C. 1 1/5
D. 5
Answer
I think the answer is B)
Step-by-step explanation:
because I subtracted 6 and 5 because Robert has 6 pints of water and there's 5 plants
someone would help me find the angle measure y
Answer:
y = 65°
Step-by-step explanation:
z = 70° (corresponding angels are equal)
y + z = 135° (exterior angle theorem of a triangle)
y + 70 = 135 (substitution)
Subtract 70 from each side
y + 70 - 70 = 135 - 70
y = 65
Please please help please please ASAP please please help please please ASAP please please help please
Answer:
m1 = 72°
m2 = 36°
m3 = 18°
m4 = 144°
Hope I was able to help you:))
Solve the simultaneous equations by substitution
x +y=−6
x+5y =−2
Answer:
y=1
x=-7
Step-by-step explanation:
x+y=-6 x=-6-y
x+5y=-2
substitute
(-6-y)+5y=-2
reduce
-6+4y=-2
4y=4
y=1
x=-6-y=-6-1=-7
Answer:
1. x+y=−6
Find the x-intercepts.
x-intercept(s):
(−6,0)
Find the y-intercepts.
Tap for more steps...
y-intercept(s):
(0,−6)
List the intersections.
x-intercept(s):
(−6,0)
y-intercept(s):
(0,−6)
2. To find the x-intercept, substitute in
0 for y and solve for x. To find the y-intercept, substitute in
0 for x and solve for y.
x-intercept(s):
(−2,0)
y-intercept(s):
(0,−2/5)
x+5y=−2
Subtract x from both sides of the equation.
5y=−2−x
Divide each term by 5 and simplify.
y=−2/5−x5
Subtract 5y from both sides of the equation.
x=−2−5y
Step-by-step explanation:
1st graph is for 1st answer.
2nd graph is for 2nd answer.
Hope it is helpful....A shop makes a profit of £2,750 in March.
It has an Easter sale and the profit for April is £3,162.50
Work out the profit percentage increase.
Answer:
15%
Step-by-step explanation:
3162.50-2750=412.50
changed÷original×100
=412.50÷2750×100
=15%
Please help someone pleaseeeeeeeeeeeeeeeeeeee
Answer:
first question: decrease - second question: 34
Step-by-step explanation:
first question: to find the mean, you need to add all of the numbers together and divide the sum of those by the amount of numbers you added together. in this question, it would be
73+79+96+84=332 -> 332/4=83 is the mean for the 1st set of numbers
(1) (2) (3) (4)
the question asks what happens after the next test score is added in, for this, you will do the same steps as before except you add in the 80 for her fifth test and then divide by 5 instead of 4, because you have another number being added.
73+79+96+84+80=412 -> 412/5=82.4 is the mean for the 2nd set of numbers
the second set of numbers, after the fifth test score is added in, is lower than the first set of numbers. therefore, the mean decreases
second question: same concept, except on a dot plot. a dot above a number means that there is one of those numbers that should be counted. this means since there are 2 dots above the 30, there are 2 30s being added to the rest of the numbers. in this dot plot, the numbers being added are
30+30+32+32+34+38+38+38=272 -> 272/8=34 is the mean
hope this helps!
which shows the list below in order from greatest to least. 3.4848, -3 19/20, √11, -3.58, 362%
Here is a sphere with radius 4 feet.What is the volume of the sphere? Express your answer in terms of pi
Answer:
volume of sphere=4/3 π4³=256/3π ft²
Determine what each letter represents in the Punnett square.
Letters A and B represent the genotypes of the
.
Letters C, D, E, and F represent the genotypes of the
.
Answer:
It is first one PARENTS. Second one OFFSPRING.
Step-by-step explanation:
edg 2021. ALSO, yy and xx is parents and offspring.
Answer: first blank parents, second blank offspring
Step-by-step explanation:
can someone help me plssssss
Answer:
16.5
Step-by-step explanation:
isosceles trapezoid abcd has legs sa011-1 and sa011-2 and base sa011-3 if ab=6y-6, bc=4y-7 and cd=7y-12 find the value of y
What is the sequence of transformations?
Answer:
Reflect over the y then reflect over the x
Step-by-step explanation:
-12x+14=-10x-8 multistep equation
Answer:
Answer down below!
Step-by-step explanation:
−12x+14=−10x−8
Step 1: Add 10x to both sides.
−12x+14+10x=−10x−8+10x
−2x+14=−8
Step 2: Subtract 14 from both sides.
−2x+14−14=−8−14
−2x=−22
Step 3: Divide both sides by -2.
−2x
−2
=
−22
−2
x=11
Answer:
x=11
Step-by-step explanation:
What is the value of X?
What is the value of Y?
What is the value of Z?
Answer:
The answer is
[tex]x = 12 \\ y = 20 \\ z = 15[/tex]
Step-by-step explanation:
By using Pythagoras low
Then we can find that
[tex] {y}^{2} = {x}^{2} + {16}^{2} \\ {z}^{2} = {x}^{2} + {9}^{2} \\ {y}^{2} + {z}^{2} = {25}^{2} \\ then \\ {x}^{2} + {9}^{2} + {x}^{2} + {16}^{2} = {25}^{2} \\ 2 {x}^{2} = 288 \\ x = 12 \\ By \: substituting \: x \: into \: the \: previous \: equations \\ then \: \\ y = 20 \\ z = 15[/tex]
Answer:
The answer is
Step-by-step explanation:
By using Pythagoras low
Then we can find that
Step-by-step explanation:
1. What is the angle relationship
2. What is the value of r?
Step-by-step explanation:
x + 62 = 90
because they are complementary angles
I don't see any r
but I guess since they're complementary it would be 90 - 62
Answer:
Complementary angles
x = 28°
Step-by-step explanation:
Angle relationship = Complementary angles
x = 90° - 62° = 28°
The Murphy family is on a road trip. On the first day, they traveled 30% of their total distance. On the second day, they traveled another 1 4of the total distance. What fraction of the total distance do they have left after
Answer:
5/12
Step-by-step explanation:
Total distance travelled = 30% + 1/4
To add these numbers, convert 30% to fraction
30% = 1/3
1/3 + 1/4 = 7/12
Remaining distance = 1 - 7/12 = 5/12
solve the inequality -5(x-7)<15 algebraically for x.
Answer:
4
Step-by-step explanation:
1. Divide both sides by -5
2. add 7 to both sides
How many solutions does 15x+12y=18 have
Answer: 2 or more.
X and Y could be anything, so there are at least two answers
please help! find QPR
Answer:
m∡QPR = 25°
Step-by-step explanation:
solve for 'x':
8x + 7 + 9x + 16 = 40
17x + 23 = 40
17x = 17
x = 1
m∡QPR = 9(1) + 16
m∡QPR = 25°
Someone please help me ?
Answer:
OPTION 1
Step-by-step explanation:
all the marked values are less than six, just as in the inequality. We did not choose option 4 because we're not dealing with '≥'
The answer is option 1!!!!!!!!?!