Answer:
By the time her daughter is 21 years old 300 EUR will have been deposited into the account.
Step-by-step explanation:
Since a woman deposits 100 EUR in her daughter's bank account on her first birthday, and on every subsequent birthday, she deposits 10 EUR more than she deposited the previous year, so on her second birthday, she deposits 110 EUR, and on her third birthday she deposits 120 EUR, to determine, by the time her daughter is 21 years old, how much money has been deposited in her account, the following calculation must be performed:
100 + (20 x 10) = X
100 + 200 = X
300 = X
Therefore, by the time her daughter is 21 years old 300 EUR will have been deposited into the account.
What are the coordinates of the terminal point determined t= 10pi/3?
we know that :
10*pi/3------> convert to degrees------> 10*180/3=600 degrees
600=360+240
240 degrees belong to the III quadrant so
the x-coordinate is negative
the y-coordinate is negative
240°=180°+60°
60 degrees is the angle to find the terminal point
let ∅=60°
in the unit circle
r=1 units
x=-r*cos ∅----> x=-cos 60------> x=-(1/2)
y=-r*sin ∅----> y=-sin 60------> y=-(√3)/2
the point is ( -1/2 , -√3/2)
what is 5cd
when c = 3
and d = 4
Answer:
60
Step-by-step explanation:
5*3*4
Find the surface area of each figure. Round your answers to the nearest tenth, if necessary
Answer:
268 in ^2
Step-by-step explanation:
SA=2lw+2lh+2hw
width = 4 lenth = 6 height = 11
2(6)(4) + 2(6)(11) + 2 (11)(4)
= 2 (24) + 2(66) + 2 (44)
= 48 + 132 + 88
= 268 in ^2
Answered by G a u t h m a t h
Find max, min of f(x)=|x^2+4x-5| (x∈[-3;0])
Calculate the value of 3√216
by using prime
factors
Answer: 43,2
Step-by-step explanation:
[tex]\bf 3\sqrt{216 }=3\cdot 6\sqrt{6}=18\sqrt{6} \approx43.2 \\\\ \sqrt{216} =\sqrt{ 2^{3}\cdot 3^3}=\sqrt{2^2\cdot 3^2\cdot 3\cdot 2}=3\cdot 2\sqrt{3\cdot 2} =6\sqrt{6}[/tex]
find the missing side of the triangle.
Answer:
34
Step-by-step explanation:
x² = 30² + 16²
(pythagoras theorem)
x = Square root 30² + 16²
x = 34
What is the circumference of a circle with a diameter of 9 feet? Use 3.14 for
TL
d = 9ft
O A. 28.26 ft
PREVIOU
the formula for calculating the circumference is [tex]\pi[/tex] x diameter
so, 3.14 x 9 = 28.26ft (a)
Answer:
C = 28.26 ft
Step-by-step explanation:
The circumference of a circle is given by
C = pi *d
C = 3.14 *9
C = 28.26 ft
Determine which lines are parallel and which are not parallel. Explain your reasoning.
1. m∠3=69°, m∠7=71°
2. m∠3=76°, m∠8=114°
(please explain!!)
Answer:
If M and N are parallel, then the correspondent angles generated by the intersection with line R (or line S) should be equal.
So, if M and N are parallel, we should get that angles 2 and angle 4 are equal, as both of these are on the fourth quadrant of the intersection with the same line.
Similarly, if R and S are parallel, then correspondent angles generated by the intersection with line M (or line N) should be equal, this means that:
angle 3 and angle 7 should be equal.
Also remember that if we have two lines intersecting, generating 4 angles, any pair of two adjacent angles will always add to 180°.
Here we have two cases:
1) m∠3=69°, m∠7=71°
Here we can see that:
m∠3 ≠ m∠7
Thus, lines R and S are not parallel.
And here we do not have any information on the angles 1, 2, 5, and 6, so we can't compare the angles generated by line N with the ones generated by line M, so we can not know if lines N and M are parallel or not.
2) Now we have that:
m∠3=76° , m∠8=114°
Notice that angle 8 and angle 7 are adjacent, then we have that:
∠7 + ∠8 = 180°
And we know that:
∠8 = 114°
Then:
∠7 + 114° = 180°
∠7 = 180° - 114° = 76°
Then we have:
∠7 = ∠3
From this we can conclude that lines R and S are parallel.
(again, we can not do anything with lines N and M)
SOME ONE PLEASE ACTUALLY HELP ME
Answer:
y = 658.3 ft
Step-by-step explanation:
x = 745.5 ft
y = 658.3 ft
tan 28 = 350/y
y = 658.3
Answered by GAUTHMATH
Select the equations of the lines that are parallel to the line whose equation is y = 3x + 5.
Answer:
y = -1/3x
Step-by-step explanation:
Which of the following is(are) the solution(s) to |15x + 2 |= 8 ?
Hi!
[tex]|15x+2|=8\\\\\\15x+2=8\\15x=8-2\\15x=6 \ \ |:15\\\boxed{x_1=0,4}\\\\\\15x+2=-8\\15x=-8-2\\15x=-10 \ \ |:15\\\boxed{x_2=-\frac{2}{3}}[/tex]
Answer:
x = 2/5 x = -2/3
Step-by-step explanation:
|15x + 2 |= 8
There are two solutions, one positive and one negative
15x + 2 = 8 and 15x + 2 = -8
Subtract 2 from each side
15x + 2-2 = 8-2 and 15x + 2-2 = -8-2
15x = 6 15x = -10
Divide by 15
15x/15 = 6/15 15x /15 = -10/15
x = 2/5 x = -2/3
need help with number 8
Answer:
x = 14 2/3
Step-by-step explanation:
it is a parallelogram.
that means AB is parallel to CD, and AD to BC.
it also means that the total angles at B and D must be equal. and the total angles at A and C.
and the sum of all angles in a parallelogram is 360 degrees.
so, we have
360 = 2×(4x + 4x + 8) + 2×(x + 10 + 2x + 8) =
= 8x + 7x + 16 + 2x + 20 + 4x + 16 =
= 21x + 52
308 = 21x
x = 14.666666666.... = 14 2/3
A hemispherical tank is filled with water and has a diameter of 16 feet. If water weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank, to the nearest pound?
Answer: 133,827 lb/ft^3
Step-by-step explanation:
V = (4/3) (3.14)(8^3) = 133,827
Answer hurry which one 1 2 3 or 4?
Answer:
Option: 1Step-by-step explanation:
Let,
Footprints that Adele will find be = f
So, Footprints that Yumiko finds = 2f = f + f
Since,
As given that,
Yumiko finds 16 Footprints so it will be,
2f = f + f = 16
And,
f = 16 / 2
= 8
Which is half of Footprints found by Yumiko.
So the bar model 1 represents it correct.
Answer:
option 1
Step-by-step explanation:
i did the quiz
if you get 76% on a 50 question test how many questions did you get wrong?
Answer:
100% - 76% = 24%
24% = 0.24
0.24*50 = 12
You got 12 questions wrong.
Step-by-step explanation:
Please mark brainliest!
Number of questions that got wrong are 12 .
Given,
76% on a 50 question test.
Here,
Let total percentage value be 100%.
Then,
100% - 76% = 24%
24% questions got wrong.
Number of questions that got wrong out of 50 will be ,
24% of 50
= 0.24*50
= 12
Therefore 12 questions got wrong.
Know more about percentages,
https://brainly.com/question/23418123
#SPJ4
HELP ME !!! Find the perimeter of the polygon
Answer:
50 units
Step-by-step explanation:
this is a walk around problem
the sides of the triangles are 19, 13, and 18
perimeter = 19 + 13 + 18
p = 50 units
Which expressions
are
equivalent to -6+4q+(-6q)?
Choose all answers that apply:
–6(q + 1) — 42
2(q -3)
None of the above
Answer:
None of the Above are correct
A worker can complete the assembly of 15 cell phones in 6hrs. At this rate, how many can the worker complete in a 40hrs work week?? With full workin!!
Answer: 100 cell phones.
Step-by-step explanation:
The worker makes 2.5 phones an hour. 2.5 x 40 = 100.
Find the first term and the common difference of the arithmetic sequence whose 6th term is 30 and 12th term
is 54.
Answer:
10 and 4Step-by-step explanation:
The first term is a, common difference is d.
The 6th term:
a + 5d = 30The 12th term:
a + 11d = 54Solve the system by elimination:
11d - 5d = 54 - 306d = 24d = 4Find a:
a + 5*4 = 30a + 20 = 30a = 10Answer:
Given :-6th term = 30
12th term = 54
To Find :-First term
Common difference
Solution :-We know that
[tex] \sf \: a_{n} = a + (n - 1)d[/tex]
For 6th term
[tex] \sf \: 30 = a + (6 - 1)d[/tex]
[tex] \sf \: 30 = a + 5d[/tex]
For 12th term
[tex]\sf \: a_{n} = a + (n - 1)d[/tex]
[tex] \sf \: 54 = a + (12 - 1)d[/tex]
[tex] \sf \: 54 = a + 11d[/tex]
On subtracting both
[tex] \sf \: 54 - 30 = a + 11d - (a + 5d)[/tex]
[tex] \sf \: 54 - 30 = a + 11d - a - 5d[/tex]
[tex] \sf \: 24 = 6d[/tex]
[tex] \sf \: \dfrac{24}{6} = d[/tex]
[tex] \sf \: 4 = d[/tex]
Now
Using 2
[tex] \sf \: 54 = a + 11d[/tex]
[tex] \sf \: 54 = a + 11(4)[/tex]
[tex] \sf \: 54 = a + 44[/tex]
[tex] \sf \: 54 - 44 = a[/tex]
[tex] \sf \: 10 = a[/tex]
A recipe calls for 8 ounces of butter and 3 otnces of chocolate. If I reduce the
recipe to use only 6 ounces of butter, how much chocolate should I use?
Answer:
you should use 1 ounce of chocolate to 6 ounces of butter
Step-by-step explanation:
if you are going from 8 ounces to 6 ounces of butter you are subtracting 2 ounces. to even it out you should use two ounces less of chocolate, leaving 1 ounce of chocolate to be used
Which of the following statements is false?
A. A rectangle is a parallelogram.
B. A rhombus is a parallelogram.
C. The height of a trapezoid is the distance between its bases.
D. Given quadrilateral ABCD, AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ are adjacent
to Answer:
D is false
Step-by-step explanation:
AB and CD are not adjacent.
AB is adjacent to BC and AD but not to CD.
Name and describe two theorems that you can use to prove two triangles are congruent?
Answer:
The Angle-Side-Angle Theorem (ASA) states that if two angles and their included side are congruent to two angles and their included side to another triangle, then these two triangles are congruent.
Step-by-step explanation:
found this on varsitytutors.com
What is the value of the expression 53.5-5? please explain
Answer:
48.5
Step-by-step explanation:
53.5
- 5.0
48.5
5 tenths - 0 tenths = 5 tenths (.5)
3 minus 5, three smaller than 5 so BORROW 10 13 -5 = 8 (8)
the 5 in the tens position becomes a four because one got "borrowed"
4 - 0 = 4 (4)
48.5 is the result
Write an expression for the area and the perimeter of this rectangle. The rectangle has a length of 15 and a width of x-5
Answer:
Area: 2(15 + (x - 5))
Perimeter: 2(15)+2(x - 5)
Step-by-step explanation:
To find area you need to add the two sides together and multiply by two, this is as far as you can get with x.
Area: 2(15 + (x - 5))
To find perimeter, you need to find the singular lengths and multiply by two so this is as far as you can get.
Perimeter: 2(15)+2(x - 5)
Hope this helped.
the circumference of a circle is 11pi ft. find its diameter, in feet
Answer:
The diameter would be 11 feet
Step-by-step explanation:
C = pi * d
we don't know D so we rearrange the equation to solve for D by dividing both sides by pi:
C/pi = d
Now we plug in everything
11pi/pi = d
The pi cancel each other out leaving with 11 feet
Therefore D = 11 feet
What's 0. (6) as a percentage?
Answer:
Write as a percent.0.6 = 0.60 = 60%
Answer:
Its 60 percentage
I HOPE ITS RIGHT IF NOT THEN SORRYHAVE A GREAT DAY :)
The point slope form of the equation off the line that passes through (-4, -3) and (12, 1) is y -1=1/4(x-12). What is the standard form of the equation for this line ?
Write an equation in slope-intercept form for the line with slope 3/5 and y-intercept -1.
Answer:
y=3/5x-1
Step-by-step explanation:
− 96 ÷ −6 ÷ 8 =
a) 2 b) -2
Answer:
answer is 2
Step-by-step explanation:
answer is 2…………………………………
Select the correct answer. Which line has a y-intercept of 2 and an x-intercept of -3? W. X. Y. Z. A. W B. X C. Y D. Z
Answer:
[tex]y = -\frac{2}{3}x + 2[/tex]
Step-by-step explanation:
The question is incomplete, as the graphs or equations of the lines are not given.
However, I will give a general explanation of calculating both intercepts
A linear equation is of the form:
[tex]y = mx + b[/tex]
Where:
[tex]b \to[/tex] y intercept
So, the equation
[tex]y = -\frac{2}{3}x + 2[/tex]
has 2 as its y-intercept
Set y to 0, to calculate the x-intercept
[tex]0 = -\frac{2}{3}x + 2[/tex]
Collect like terms
[tex]\frac{2}{3}x = 2[/tex]
Multiply by 3/2
[tex]x = 2 * \frac{3}{2}[/tex]
[tex]x = 3[/tex]
So, the equation with the required criteria is:
[tex]y = -\frac{2}{3}x + 2[/tex]
