Answer:
Approximately 12.25%
Step-by-step explanation:
The compound interest formula is:
Final balance = Principal * (1 + interest rate/number of times interest compounded per year)^(number of times interest compounded per year * years elapsed)
If we want our final balance to be twice our principal, our formula looks like:
[tex]2P = P * (1 + \frac{r}{1})^{1*6}[/tex]
We can divide our principal from both sides to get the following equation:
[tex]2 = (1 + \frac{r}{1})^{6}[/tex]
Since anything divided by 1 is itself, we can simplify a little further to:
[tex]2 = (1 + r)^{6}[/tex]
Now, we need to solve for r. We can start by taking the sixth root of both sides.
[tex]\sqrt[6]{2} = 1 + r[/tex]
Then subtract 1 from both sides:
[tex]\sqrt[6]{2} -1 = r[/tex]
Finally, we can use a calculator to get a decimal approximation:
0.1225 ≅ r
What is the equation of the line from the graph?
Answer:
y=3
Step-by-step explanation:
All points have the same y coordinate. Or
A line parallel to the x axis has slope 0, so it's y= 0x +3 that becomes y=3
Answer: Y=3
Step-by-step explanation:
Which statement about perfect cubes is true?
a:25 is a perfect cube because 25 = 5 + 5 + 5 + 5 + 5
30 is a perfect cube because 30 = 3 times 10
512 is a perfect cube because 512 = 8 times 8 times 8
1,875 is a perfect cube because 1,875=25 times 25 times 3
V = s^3 = 8^3 = 512cm^3 True.
Answer:
every answer:
A
B
B
B
B D E
A
C
C
C
D
Step-by-step explanation:
i got 100% on Edg
HELPPPP PLS!! TY
Look at triangle ABC.
Coordinate grid shows negative 5 to positive 5 on the x axis and y axis at intervals of 1. A triangle ABC is shown with A at ordered pair 4, 5, B at ordered pair 1, 2, and C at ordered pair 4, 2.
What is the length of side AB of the triangle? (1 point)
Square root of 6
3
Square root of 18
6
Step-by-step explanation:
as you can see, the distance between 2 points can always be seen as the Hypotenuse or baseline of a right-angled triangle created by the differences of the x and y coordinates of both points.
the drawn triangle is nothing else than that.
to calculate the length of a side in such a triangle we need to use Pythagoras :
c² = a² + b²
c is the Hypotenuse of baseline of the triangle and is opposite of the 90 degree angle.
a and b are the legs of the triangle "enclosing" the 90 degree angle.
so, we have
AB² = AC² + BC²
AC and BC we know : the coordinate differences in x and y directions.
AC = (4, 5) to (4, 2). as the x coordinates are the same, the difference is just the difference in the y coordinates : 5-2 = 3.
BC = (1, 2) to (4, 2). as the y coordinates are the same, the difference is just the difference in the x coordinates : 5-1 = 3.
AB² = 3² + 3² = 9 + 9 = 18
AB = sqrt(18)
FYI : sqrt(18) = sqrt(9×2) = 3×sqrt(2)
Which expression represents the area of this figure in square feet?
Answer:
(3×2) + (3×4)
Step-by-step explanation:
One box's area is 3×2 and the other box's area is 3×4, so when you add them, you get the total area.
the staircase at the lighthouse tower has between 80 and 90 steps. if matt goes 2 steps at a time then 1 step is left at the end. If he goes 3 steps at a time then 2 steps are left. If he goes 4 steps at a time then 3 steps are left. How many steps are in the staircase?
Answer:
90
Step-by-step explanation:
start from the beginning, then if you go 2 steps at a time, then you have 1 step left over at the end, let's assume the length of the stair case is x, so then we will be going up 2/3x steps, and have 1/3 x steps left.
2/3 x = somewhere between 80 and 90, so that means it must be divisible by 3, so 81,84,87,90
3/5 x ==> only 90
What is the perimeter of this arrangement?
Hector watched
1
4
of a movie in the morning, and he watched some more at night. By the end of the day, he still had
2
3
of the movie left to watch. How much of the movie did Hector watch at night?
Answer:
how watched 3/4 of the movie
Step-by-step explanation:
I know this because 2 is more then half of 3 and 3 is more then half of 4 so you can come to a conclusion that he watched a total of 3/4 and 2/4 at night.
P.S when ever using a fraction when typing like 1/4 instead of doing
1
4
do 1/4
Triangle MNO is similar to triangle PRS. Find the measure of side RS. Round
answer to the nearest tenth if necessary. Figures are not drawn to scale.
I NEED THIS ANWER (WILL GIVE BRAILIEST TO CERRECT)
Answer: I got 60d+115f
Step-by-step explanation:
Hope this helps.
Answer:
60d+115f
Step-by-step explanation:
if you were basically asking to simplify then this is your answer
Someone please help with this math question, it is not hard if you're good at math, but I'm on a test.
Answer:
3
Step-by-step explanation:
Midpoint means EF and FG are both 8 the whole thing is 19 so 19 - 16 = 3
hi can someone help me....can't get the answer.....you need to find a+b+c+d
Answer:
B) 306°
Step-by-step explanation:
1. Pentagons have a sum of interior angles of 540°
2. Triangles have a sum of interior angles of 180°
3. Knowing that triangle EFA is isosceles, we know that
<FEA = *<FAE, so they are equal to: (180° - <F) /2 = (180° - 36°) / 2
= 144° / 2
= 72°
4. m<A + m<B + m<C + m<D + m<E = 540°
It is also given that **m<D = 90°,
so therefore m<A + m<B + m<C + m<E = 450°
5. Now to find a+b+c+d (m<a + m<b + m< c+ m<d),
m<a = m<E - 72° and m<d = m<A - 72°
This means that
m<a + m<b + m< c+ m<d = (m<A - 72°) + m<B + m<C + (m<E - 72°) = 450°
6. Finally,
m<a + m<b + m< c+ m<d = 450° - 72° - 72° = 306°
EXTRAS
* < is an angle symbol
** m<D means measure of angle D
plz answer this 20 points
Sam, the ranch cook, made sausage and bacon
for breakfast. Each cowboy could choose one
meat, and Sam had just enough. 3 of every 5
cowboys chose bacon. There are 60 cowboys.
How many chose bacon?
Answer:
36
Step-by-step explanation:
60 × 3 ÷ 5 that's basically it :))
36 out of 60 cowboys ahs chosen bacon over sausages.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, Sam, the ranch cook, made sausage and bacon for breakfast.
Each cowboy could choose one meat, and Sam had just enough.
3 of every 5.
Also given that there are 60 cowboys so no. of meat is also 60 as each cowboy could choose one meat.
If 3 of every 5 cowboys chosen meat then the no. of cowboys chosen meat is,
= (3/5)×60.
= 36 cowboys.
learn more about ratios here :
https://brainly.com/question/13419413
#SPJ2
Solve the following system of equations graphically on the set of axes below.y= \frac{1}{4}x+5y=41x+5y= -x-5y=−x−5
Answer:
b
Step-by-step explanation:
The scale for a map to actual distance is 2 cm to 100 mi. The
driving distance on the map between Los Angeles and Las
Vegas is 6.2 cm. What is the actual distance, in miles,
between Los Angeles and Las Vegas?
Answer:
310 miles
Step-by-step explanation:
You can set up a proportion and solve for x.
2 6.2
___ = ___
100 x
Cross multiply
2x=6.2*100
Simplify
2x=620
Divide each side by 2
x=310
does anyone know how to do this? find the X,Z,Y
please help me with this 2
HELP PLEASE !!!
Which angles are congruent
if RI ≅ IT, what angles are congruent? 1, 2, or 3?
*THERE SHOULD BE 2 ANSWERS*
the answer is 32 because it as shown it has 23 and 67
the angle 1 and 3 are congruey
The width of a rectangle is the length minus 4 units. The area of the rectangle is 12 units. What is the width, in units, of the rectangle?
Answer:
the width is 3
Step-by-step explanation:
you divide the 4 by 12
Answer:
2 units
Step-by-step explanation:
Area = Length × Width of a rectangle
If Length = L
Width = L-4
So 12 units = L×(L-4)
12 = L^2 -4L
L^2 -4L -12=0
Simplify this equation
L^2 + 2L -6L -12 = 0
L( L+2) - 6(L+2) = 0
(L+2) (L-6) = 0
L+2 =0 Or L-6=0
L=-2 Or L= +6
But L can't take a negative value
therefore L= 6
Now if we substitute and check,
L× (L-4) = 6×2=12 units
width = 6-4 =2 units
Rose spent 124 on 10 cars & 4 cats what is the cost for 1 car & 1 cat.
Answer:
$6 per cat, $10 per car
Step-by-step explanation:
I guess and checked my work.
4(2-3x)=-2x-27
help plz
Answer:
x = 7/2
x = 3.5
x = 3 1/2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Given f(x) = x â’ 7 and g(x) = x2. Find g(f(4)). G(f(4)) =.
Answer:
g(f(4))=9 is the answer
Answer number eleven and thirteen please
Answer:
Both are right trianglesStep-by-step explanation:
Use Pythagorean to decide
#11Sides 12, 16, 20
12² + 16² = 20²400 = 400Right triangle#13Sides 2.4, 4.5, 5.1
2.4² + 4.5² = 5.1²26.01 = 26.01Right triangle
Select the true statement about triangle ABC.
O A. sin A = cos B
O B. sin A = tan c
C. sin A= sin C
OD. sin A = cos C
Answer:
A=cos C
Step-by-step explanation:
mass–energy equivalence formulpa E
(4x+2)(x-3)
Expand and simplify
[tex]\\ \sf\longmapsto (4x+2)(x-3)[/tex]
[tex]\\ \sf\longmapsto 4x(x-3)+2(x-3)[/tex]
[tex]\\ \sf\longmapsto 4x^2-12x+2x-6[/tex]
[tex]\\ \sf\longmapsto 4x^2-10x-6[/tex]
Answer:
Step-by-step explanation:
(4x + 2)(x - 3) =4x *(x -3) + 2*(x -3)
= 4x*x - 3*4x + x*2 - 3*2
= 4x² - 12x + 2x - 6 {Combine like terms}
= 4x² - 10x - 6
Helppp plzzz I will mark brainliestttt
Answer:
therefore the correct option is Y-⅓-¾(×-4)
Step-by-step explanation:
Equal of a line
Y-⅓=m(×-×1)
Y-⅓=¾(×-4
Answer:
y -1/3 = 3/4( x-4)
Step-by-step explanation:
We can use the point slope form of an equation of a line
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
y -1/3 = 3/4( x-4)
Help!! Solve for X round to the nearest 10th
Step-by-step explanation:
remember : the sum of all angles in a triangle is always 180 degrees.
the law of sines :
a/sin(A) = b/sin(B) = c/sin(C) with the sides being always opposite of the angles.
so,
the opposite angle of x is
180 - 90 - 58 = 32 degrees.
x/sin(32) = 11/sin(58)
x = 11×sin(32)/sin(58) = 6.873562871...
rounded x = 6.9
Please help ill mark brainlyst please
Answer:
x = 8°
y = 21°
Step-by-step explanation:
27 + 3y = 90
3y = 63
y = 21°
x + 8x + 18 = 90
9x = 72
x = 8°
The cost x of the Sennet family’s meal at a restaurant is $172.65, and they tip 20%. Write and use an equation to find the total cost y of the dinner.
Answer:
the answer would be 196.25
Step-by-step explanation:
Find the minimum and maximum possible values for area of the garden
Answer:
Smallest: 12.8 square meters
Largest: 13.5 square meters
Step-by-step explanation:
I'm not 100% sure I understand this correctly as it seems like a very strange problem, but here it goes.
The smallest number that rounds to 3.2 is 3.15, and the smallest number that rounds to 4.1 is 4.05.
[tex]3.15*4.05=12.7575[/tex]
The smallest possible area is 12.8 rounded to the nearest 10th.
The largest number that rounds to 3.2 is 3.24999... and the largest that rounds to 4.1 is 4.14999...
[tex]3.24999*4.14999=13.4875[/tex]
That rounds to 13.5.