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
find the equation of the line passing through (3,-6) with the gradient of -1/2
Answer:
2y+x+9=0
Step-by-step explanation:
eqn is given by
[tex]m = \frac{y - y1}{x - x1} [/tex]
given
[tex] - \frac{1}{2} \: as \: m[/tex]
and
[tex]{3 \: and \: - 6} \: as \: x \: and \: y \: respectively[/tex]
subtitute values into the formula
[tex] - \frac{1}{2} = \frac{y - - 6}{x - 3} [/tex]
cross multiply giving
[tex] - 1{x - 3}= 2{y + 6[/tex]
[tex] - x + 3 = 2y + 12 \\ 2y + 12 + x - 3 = 0 \\ 2y + x + 9 = 0[/tex]
parallel perpendicular or neither
Answer: perpendicular
Step-by-step explanation: an opposite reciprocal makes it perpendicular.
example
1/2 and -2 are opposite reciprocals
1/2 and 1/2 are parallel
1/2 and -4/3 are neither
Answer:
The answer is perpendicular
need help please 100 pts
Answer:
b)
Step-by-step explanation:
3
Choose the option(s) that will show the effect (x-2. y+3) has on the figure?
left 2 units
down 2 units
down 3 units
up 2 units
right 3 units
left 3 units
up 3 units
right 2 units
Hiii!!! Can some one please help meee!!! I will give you a lot of points!!!
Answer:
left 2 units, up 3 units
Step-by-step explanation:
(x-2, y+3)
-2 means 2 to the left
+3 means 3 up
So it would be left 2 units, up 3 units.
Answer:
left 2 units up 3 unitsStep-by-step explanation:
Rule:
If x+b right in b units
if x-b left in b untits
if y+b up in b units
if y-b down in b units
You don 't have to use this rule if you know that on the Ox axis the line goes horizontally (the abscissa axis); And on the Oy axis vertically (the ordinate axis)
Then :
x-2 left in 2 units
y+3 up in 3 units
Graph the triangle with the given vertices. Find the length of the hypotenuse of the triangle. Assume a is a positive number.
X(0,0)
Y(a,2)
Z(a,0)
[tex]\\ \sf\longmapsto XY=\sqrt{x^2+y^2}[/tex]
[tex]\\ \sf\longmapsto XY=\sqrt{a^2+2^2}[/tex]
[tex]\\ \sf\longmapsto XY=\sqrt{a^2+4}[/tex]
[tex]\\ \sf\longmapsto XY=2+a[/tex]
Terry buys an orange for 18p. He pays with a £1 coin. How much change does he get?
Answer:
57p
Step-by-step explanation:
so 1 pound is just 1.00 so
1.00-0.43=0.57
so terry will get 57p change
which is the largest ratio? 5/36, 2:9, 3 to 18, 1:3
HELP I WILL GIVE BRAINLEST
Step-by-step explanation:
smallest value 30° largest value 150°.
Answer:
30, 150
Step-by-step explanation:
sin θ = 1 / 2
sin 30 = 1 / 2
θ = 30
So,
the smallest value of θ is 30.
sin ( 180 - 30 ) = sin 150 = 1 / 2
So,
the larger value of θ = 150.
pls i only have 1 minute left hurry
Answer:
look at the picture i have sent
Name the corresponding angles
Answer:
Falta otro triangulo para poder realizar la operacion
Step-by-step explanation:
hihii who knows the answer to this question??
Part A
x = some unknown number
2x = doubling that number
2x+11 = adding on eleven
Answer: 2x+11 = 25=============================================================
Part B
If we knew what x was, then we can compute 2x+11 using the order of operations PEMDAS. Because x is unknown, we follow PEMDAS in reverse to isolate x.
So we'll undo the addition first by subtracting 11 from both sides. Then we undo the multiplication by dividing both sides by 2.
2x+11 = 25
2x+11-11 = 25-11 ..... subtract 11 from both sides
2x = 14
2x/2 = 14/2 ...... divide both sides by 2
x = 7
The number the person thought of was 7. Double 7 to get 14. Add on eleven to get 14+11 = 25.
Answer: x = 7Need help with this ASAP I’ll mark brainliest
Answer:
A' (9, - 1 )
Step-by-step explanation:
Using the translation rule
(x, y ) → (x + 6, y - 3 ) , then
A (3, 2 ) → A' (3 + 6, 2 - 3 ) → A' (9, - 1 )
help........................................................
Answer:
64 by 16 feet
PLEASE HELP IT’S DUE TMR!!
Answer:
see below
Step-by-step explanation:
just reduce to 3 digits before the decimal place and count how many are behind the decimal for what power the 10 is, not including numbers that were already behind the decimal
a. 107.92*10^2
b. 376.932*10^0
c. 998.461*10^3
Answer:
When rounding significant figures the standard rules of rounding numbers apply, except that non-significant digits to the left of the decimal are replaced with zeros.
Step-by-step explanation:
(a) 10792 ≈ 10800
(b) 376.932 ≈ 377
(c) 998461 ≈ 998000
1.2192 rounded to the nearest hundred
Answer:
1.22
Step-by-step explanation:
the ratio of adult to children in the spot club is 5:3 There are 120 people in the club. how many children are there
Answer:
5:3=8
3/8 x 120
3/1 x 15
3 x 15=45
Step-by-step explanation:
hope this helps
sorry
is 6,8,10 a pythagorem theorem? pls help me due rn
Answer:
Should be
Step-by-step explanation:
Answer: Yes
Step-by-step explanation:
Using the formula a^2+b^2=c^2, take the square of 6 (6x6=36) and 8 (8x8=64) and add them together to get the square of 10 (10x10=100) 64+36 does equal 100. Remember that the biggest number is c and the two sides a and b have to add to get c.
slope = -5/2,y-int=2
Answer:
Step-by-step explanation:
The equation of this line is:
y = -5/2 x + 2.
what is the value of x?
a)
[tex]2 \sqrt{10} [/tex]
b)
[tex]2 \sqrt{2} [/tex]
c)
[tex]2 \sqrt{5} [/tex]
d)
[tex]2 \sqrt{3} [/tex]
Answer:
A
Step-by-step explanation:
using pythagoras theorem
h²=p²+b²
Suppose that 11% of people own dogs. If you pick two people at random, what is the probability that they both own a dog
Find the number that makes the ratio equivalent to 2:5.
Answer:
Answer: The fractions equivalent to 2/5 are 4/10, 6/15, 8/20, etc.
What does Point P on the number line represent? (Use the hyphen for negative numbers, such as −9) Number line from negative 8 to positive 8 in increments of 1 is shown. Only the even numbers are labeled. A point labeled P is placed at the seventh tick mark to the left of 0. Numerical Answers Expected!
Answer:
-7
Step-by-step explanation:
there are 16 increments in total, and half are labeled
so the answer is -7 because if the increments are 1 and it is left of zero, so do 7*-1 because it is to the left
Answer:
-7
Step-by-step explanation:
If one ream of bond paper costs (3x -4) pesos. How many reams can you buy for ( 6x4 -17x3 +24x2- 34x + 24) pesos?
Answer:
1 ream = (3x - 4) pesos
Price of n reams = (6x^4-17x^3+24x^2 34x+24) pesos
Solution:(pic1)
number of reams 3x-4
By using synthetic division,
3x-4=0
3x=4
x=4/3
6 -17 24 -34 24 | 4/3
8-12 16-24
6 -9 12-18 0
Final equation is:(pic2)
What is 9% as a fraction or mixed number in simplest form?
Answer:
9/100
Step-by-step explanation:
9×100 = 9/100 I think
I NEED HELP please help
Answer:
1. 2/5, 2. -1. 3. 5/2, 4. 1, 5. 1/5, 6. -4/3, 7. 1/3, 8. -1/10
Step-by-step explanation:
1-3: the formula for slope is (y2 - y1)/(x2 - x1) for points (x1, y1) and (x2, y2)
1. we have points (-2, -1) and (3,1) ,plug these into the formula to get (1-(-1))/(3-(-2)) = (1+1)/(3+2) = 2/5 so the slope is 2/5
2. we have points (-3, 2) and (2, -3): (-3-2)/(2-(-3)) = -5/5 = -1
3. (-1, -2) (1,3): (3-(-2))/(1-(-1)) = 5/2
4-6: you can use the same formula
4: (1,0) (3,2): (2-0)/(3-1) = 2/2 = 1
5. (8,0) ( 13, 1) (1-0)/(13-8) = 1/5
6. (2, -1) ( 5, -5) (-5+1)/(5-2) = -4/3
7-8: slope= rise/run
7. rise=8, run=24, 8/24=1/3
8. rise=-100, run=1000, slope= -100/1000 = -1/10
there were 230 leprechauns in school this year last year there were 175 leprechauns what is the percent change in the number of leprechauns.
Answer:
0.55%
Step-by-step explanation:
230÷100=2.30%
175÷100=1.75%
2.30-1.75=0.55%
I think ♂️
(-7/10 + 0.15) ➗ (-0.125)
Plz show step by step
Answer:
4.4
Step-by-step explanation:
(-7/10 + 0.15) ➗ (-0.125)
=> (-0.7 + 0.15) ➗ (-0.125)
=> (-0.70 + 0.15) ➗ (-0.125)
=> (-0.55) ➗ (-0.125)
=>(-0.550) ➗ (-0.125)
=> -0.550 ➗ -0.125 [Negative-Negative cancels]
=> 0.550 ➗ 0.125
=> 4.4
Find an equation of the circle whose diameter has endpoints (1,1) and (-5,-3) .
Answer:
(x+2)^2 + (y+1)^2 =13
Step-by-step explanation:
pls help
The volume of a soap bubble is 62.3mm^3 Find the radius and diameter of the soap bubble. Use 3.14 for pie.
The radius of the bubble is about mm.
(Round to the nearest tenth as needed.)
Answer:
what is the radius of 2
Step-by-step explanation:
The center of an inscribed circle is
formed by the construction of which
three segments?
Angle bisectors
Vertice
Perpendicular bisectors
Circumcenters
Answer:
Angle bisectors, Perpendicular bisectors, and Circumcenters