Answer:
15 Years or 14.5 Years
Step-by-step explanation:
According to the Question,
Given That, Cora invests $1000 at Rate of 5% Per Annum. Interest is compounded semi-annually, After What time her money to get double.We Know, the formula A=P(1+r/n)^(nt) (where r=0.05 , p=1000 , A=2000 , n=2)Put the Given value in Formula, We get
2000 = 1000 (1 + 0.05/2) ^ 2t
2 = (1+0.025)^2t
2 = (1.025)^2t ⇔ 1.025^30 = 2.0975 ≈ 2
Thus, 2t = 30 ⇒ t = 15 Years
OR
2 = (1.025)^2t ⇔ 1.025^29 = 2.0464 ≈ 2
Thus, 2t = 29 ⇒ t = 14.5 Years
Use the image to complete the equation below
The ratio of pennies: nickels is proportional to the ratio of nickels: dimes, and to the ratio of dimes: quarters. If you have one penny and two nickels, how much money do you have?
Answer:
11 cents
Step-by-step explanation:
1 penny = 1 cent
1 nickel = 5 cents
2×1 nickel = 10 cents
1 penny + two nickels
= 1 cent + 10 cents
= 11 cents
1 Solve the compound inequality 4x>-16 or 6x <-48
Answer:
Step-by-step explanation:
4x > -16 reduces to x > -4: All numbers greater than x = -4 (shaded area to the right of -4).
6x < -48 reduces to x < -8: All numbers to the left of -8 (shaded area to the left of -8).
Solution: (-infinity, -4) ∪ (-8, infinity)
The number line between -8 and -4 is not part of the solution set (is not shaded or darkened)
Draw an open circle at -8 and extend an arrow to the left of this circle. Then draw an open circle at -4 and extend an arrow to the right of this circle.
Sally is 54 years old and her mother is 80, how many years ago was Sally’s mother times her age?
41 years ago, when Sally was 13 and her mother was 39.
Step-by-step explanation: I've heard this question b4
A watch that originally cost $110 has been marked down to $88. What was the percent of the markdown ?
12%
10%
25%
20%
Answer:
20%
Step-by-step explanation:
When calculating percents, it is important to divide by the initial value, not the end value. The formula for calculating percents is
[tex]\frac{finalvalue - inititalvalue}{initialvalue} * 100[/tex]
Plugging our values into this formula, we get
[tex]\frac{88-110}{110} * 100 = 20[/tex] as our answer.
9
Find the area of the triangle.
Please help
Answer:
[tex]6ft^2[/tex]
Step-by-step explanation:
The formula to find the area of a triangle: [tex]A=\frac{1}{2} bh[/tex]
The base is 4 because 2 + 2 = 4
[tex]A=\frac{1}{2}( 4)(3)[/tex]
[tex]A=\frac{1}{2} (12)[/tex]
[tex]A=6[/tex]
Hope this helps
Answer:
A) The first one for whole triangle = 6ft^2
or
B) The second one for blue = 3ft^2
Step-by-step explanation:
T1 Area = 1/2 x 3 x 4 = 6ft^2
T2 Area = 1/2 x 3 x 2 = 3ft^2
T3 Blue Area = 6-3 = 3ft^2
The amount of fence a farmer needs to create a garden with width w and length 1 is F = 5w + 21.
Which formula represents l in terms of F and w?
4. Find the solution for the following problem. Explain your reasoning."
What is the solution to the equation below?
2(x - 3) = 2x + 5
Answer:
no solution
Step-by-step explanation:
Given
2(x - 3) = 2x + 5 ← distribute parenthesis on left side
2x - 6 = 2x + 5 ( add 6 to both sides )
2x = 2x + 11 ( subtract 2x from both sides )
0 = 11 ← not possible
This indicates the equation has no solution
What is the value of x?
OA 73°
OB. 71°
OC. 70°
OD. 68°
Answer:
OB.71
Step-by-step explanation:
correct me if I'm wrong
Answer:C.70
Step-by-step explanation:
Write 5/8 as a sum of fractions two different ways.
Answer:
2/8 + 3/8
1/8 + 4/8
Step-by-step explanation:
I hope this is what you mean!
If this helps you, please mark brainliest!
The requried, 5/8 can be expressed in two different ways of the sum as 1 / 8 + 4 / 8 and 2/8 + 3/8.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
Here,
As mentioned in the quesiton, to determine 5/8 as a sum of fractions in two different ways.
5 / 8 = a / 8 + b / 8
5 = a + b
So the above-modeled equation, gives the required fraction, by assuming a value that satisfies the equation,
For a = 1, 2, 3, 4 , b = 4, 3, 2, 1
So different combination is given as, 1 / 8 + 4 / 8 and 2/8 + 3/8.
Thus, the requried, 5/8 can be expressed in two different ways of the sum as 1 / 8 + 4 / 8 and 2/8 + 3/8.
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What happens if simultaneous Equations have two of the same variable like below? How would I solve it?
6A + 4B + 5C = 390
6A + 4B + 5.75C = 405
Answer:
C = 20
Step-by-step explanation:
What happens if simultaneous Equations have two of the same variable like below? How would I solve it?
6A + 4B + 5C = 390
6A + 4B + 5.75C = 405
Step 1
We solve for C first
6A + 4B + 5C = 390....Equation 1
6A + 4B + 5.75C = 405... Equation 2
We substract Equation 1 from Equation 2
0.75C = 15
C = 15/0.75
C = 20
please please help!! limited time! i don’t understand!
Answer:
option b ) 18
Step-by-step explanation:
The questions states 3 different values for f(x)
f(x) = 3x + 12, if x ≤ -2
f(x) = 4 , if -2 < x < 3
f(x) = 2x² if x ≥ 3
Evaluate f(3)
x = 3, that is x ≥ 3
So we will have to choose f( x ) = 2x²
f( 3 ) = 2 (3)²
= 2 x 9
= 18
which segments are congruent?
Answer:
LN and NK
Step-by-step explanation:
line LK was bisected (cut in half) by JM
the segment created by the bisector will be congruent
I have to solve the equation:
[tex] |4 \sqrt{2} - 6 | + |2 \sqrt{10} - 6| [/tex]
The first thing I tried is simply removing the modules, it seemed like the most logical solution and this is the answer I got, but it wasn't any of the options:
[tex]4 \sqrt{2} + 2 \sqrt{10} + 12[/tex]
The second thing I tried is putting both equations in one module and sum the first one with the second one in parentheses like this:
[tex] |4 \sqrt{2} - 6 + (2 \sqrt{10} - 6 | = \\ = |4 \sqrt{2} - 6 + 2 \sqrt{10} + 6 | = \\ = 4 \sqrt{2} + 2 \sqrt{10}[/tex]
But this wasn't in the answers either.
After I checked, the correct answer was:
[tex]2 \sqrt{10} - 4 \sqrt{2} [/tex]
So I was wondering where does the minus come from?
It is in a module and between the modules, there's a plus and even if that plus somehow turns into a minus when it goes inside the modules, which I'm not aware of, it would still turn into a plus because it is in a module ;-; Or I'm just st*pid, I don't know.
Think back to the definition of absolute value:
• If x ≥ 0, then |x| = x.
• If x < 0, then |x| = -x.
In other words, the absolute value always returns a positive number. So if x is positive, leave it alone; but if it's negative, then you have to negate it to get a positive number back.
This means that you cannot simply reduce |x - y | to x - y because you need to consider the possibility that x - y may be negative, in which case |x - y | would reduce to -(x - y) = y - x.
In this case,
|4√2 - 6| = -(4√2 - 6) = 6 - 4√2
because 4√2 < 6, which you can determine by comparing both of these numbers as square roots:
4√2 = √16 √2 = √32
6 = √36
and √32 < √36 because 32 < 36.
Similarly,
|2√10 - 6| = 2√10 - 6
because
2√10 = √4 √10 = √40
6 = √36
So ultimately,
|4√2 - 6| + |2√10 - 6| = (6 - 4√2) + (2√10 - 6) = 2√10 - 4√2
Sin 0 = 7/25 and cos 0 = -24/25. Find tan 0
Answer:
[tex]tan \theta = - \frac{7}{24}[/tex]
Step-by-step explanation:
[tex]sin \theta = \frac{7}{25} \ , \ cos\theta = \frac{-24}{25}\\\\tan \theta = \frac{sin\theta}{cos\theta}[/tex]
[tex]=\frac{\frac{7}{25}}{\frac{-24}{25}} \\\\=\frac{7}{25} \times \frac{25}{-24}\\\\= - \frac{7}{24}[/tex]
No files just ty0e it in please and thank you
sorry im answering late..
Answer:
27
Step-by-step explanation:
9x0=0 9x1=9 9x2=18
[9x3=27] 9x4=36 9x5=45
9x6=54 9x7=63 9x8=72
9x9=81 9x10=90 9x11=99
9x12=108
Paula reside em uma cidade em que a densidade demográfica é igual a 5 500 hab/km2. Nessa cidade, a população está distribuída em um território de 80 km2. Qual é a população da cidade em que Paula reside? 11 078. 440 000. 880 000. 1 760 000.
Answer:
RESPOSTA:B) 440.000
Step-by-step explanation:
UMA BASICA EXPLICAÇÃO: BASTA PEGAR OS 5 500HAB/KM
E MULTIPLICAR ELE PELO TERRITORIO QUE É:80KM
5 500HAB × 80KM = 440.000
the expression -7y is called what
Answer:
called "pi".
Step-by-step explanation:
Find the value of k if the slope of the line 2x-ky+3=0 is 5/3
Answer:
6/5
Step-by-step explanation:
2x+3=ky
ky=2x+3
y=(2x+3)/k
y=2x/k + 3/k - > equation 1
y=mx + c - >equation 2
Comparing equation 1 and 2,
2/k=m
2/k=5/3
6/5=k
k=6/5
Help with this ASAP please
Answer:
86
Step-by-step explanation:
43×2=86
bisector means halves an angle into two equal angles
Please help me it's urgent!
Match the graph with the correct set of equations for each linear system.
Rewrite the following quadratic function in vertex form. Then, determine if it has a maximum or minimum and say what that value is.
y = -x 2 + 6x + 5
HELP PLEASE!!!!!!
Answer:
-(x-3)²+14
maximum
(3,14)
Step-by-step explanation:
y= -x²+6x+5
y-5= -x²+6x
y-5= -(x²-6x)
complete the square
y-14= -(x²-6x+9)
x²-6x-9= -(x-3)²
y-14= -(x-3)²
y= -(x-3)²+14
maximum because a is negative
vertex is (3,14)
In order for the parallelogram to be a
rhombus, x = [?].
(x + 15)
(2x - 40)
Help pleaseeee
Answer:
Step-by-step explanation:
x+15 = 2x-40
Move x to the right side and you get 15 = x-40
Move -40 to the left side and you get x = 55
In order for the parallelogram to be a rhombus, x must equal 55.
What is a rhombus?A rhombus is a quadrilateral that has four equal sides.
Some of the properties we need to know are:
- The opposite sides are parallel to each other.
- The opposite angles are equal.
- The adjacent angles add up to 180 degrees.
We have,
If a parallelogram is a rhombus, it means that all four sides of the parallelogram have equal length.
We can set the expressions for the opposite sides of the parallelogram equal to each other and solve for x.
x + 15 = 2x - 40
First, we can simplify by adding 40 to both sides and getting:
x + 55 = 2x
Next, we can subtract x from both sides and get:
55 = x
Therefore,
In order for the parallelogram to be a rhombus, x must equal 55.
To verify this, we can substitute x = 55 back into the expressions for the sides:
x + 15 = 55 + 15 = 70
2x - 40 = 2(55) - 40 = 70
Both opposite sides have an equal length of 70, so the parallelogram is a rhombus.
Thus,
In order for the parallelogram to be a rhombus, x must equal 55.
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what is the nth term of 1/3 4/7 7/11 2/3
Answer:
[tex]\frac{1+3(n-1)}{3+4(n-1)}[/tex]
Step-by-step explanation:
First find the pattern.
1/3 gets 5/21 added to it but doing that to 4/7 does not get 7/11, so it's nto normal adding.
if you multiply 1/3 gets 12/7, but if you multiply that by 4/7 you don't get 7/11 so it's not normal multiplcation.
I would next try only adding to the numerator and denominator separately.
so 1/3 gets 3 added to the 1 and 4 added to the 3. Doing that again gets us (4+3)/(7+4) = 7/11 and doing it again gets us 10/15 = 2/3. So that is the right answer.
So we know what is happening. if you start with 1/3 and increasingthe numerator by 3 and denominator by 4 then we know it's going to look like (1+3(n-1))/(3+4(n-1)) because the first term is when n=1 and we want that to cancel out. You can also simplify it and get (3n-2)/(4n-1)
Let me know if it doesn't make sense.
Question 2 of 10
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10+
(7.2)
-10
(0,0)
10
- 10+
A. y=-7x
O B. y = 2x
Answer:
D)
[tex]y = \frac{2}{7} x[/tex]
Step-by-step explanation:
[tex]slope = \frac{rise}{run} = \frac{2}{7} [/tex]
Y-intercept=0
The equation of line is y = ( 2/7 )x where the slope of line is m = 2/7
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 0 , 0 )
Let the second point be Q ( 7 , 2 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 2 - 0 ) / ( 7 - 0 )
Slope m = 2/7
Now , the equation of line is y - y₁ = m ( x - x₁ )
On simplifying , we get
y - 0 = ( 2/7 ) ( x - 0 )
y = ( 2/7 )x
Therefore , the value of A is y = ( 2/7 )x
Hence , the equation of line is y = ( 2/7 )x
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A group of friends wants to go to the amusement park. They have no more than $230 to spend on parking and admission. Parking is $8, and tickets cost $27.75 per person, including tax. Write and solve an inequality that can be used to determine xx, the number of people who can go to the amusement park.
Answer:
6 people
Step-by-step explanation:
$230 - $8 = $222
x · 35.75 = 222
x · 35.75 ÷ 35.75 = 222 ÷ 35.75
[tex]x=6\frac{30}{143}[/tex]
1. the surface area of the rectangular prism
5 cm
20 cm
4cm
Answer:
430 cm^2
thankuhh
have a nice day
A building casts a 21 foot shadow along the ground. A person 5 feet 3 inches casts a shadow 7 feet long.
How tall is the building?
Answer:
~28
Step-by-step explanation:
5 feet 3 inches is 5.25 feet.
We divide 7/5.25 which equals 1.3333333333333 (repeating)
That means we multiply 21 by 1.333333333333 which would round up to 28 feet. (the exact answer is 27.99999999999999999)
Explain how to use the standard normal table to
find the probability associated with the shaded
area under the curve.
A
^
-3
-2.
0
1
2
3
0.4
1.9
The probability associated with the shaded area under the curve is 0.6267
How to determine the probabilities?From the curve, we have the following parameters:
z1 = 0.4
z2 = 1.9
Using the standard normal table, determine the p values at the respective z-scores
P(z >0.4) = 0.3446
P(z<1.9) = 0.9713
The probability is then calculated using:
P = P(z<1.9) - P(z >0.4)
Substitute the known values
P = 0.6267
Hence, the probability associated with the shaded area under the curve is 0.6267
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Answer:
The standard normal table gives areas under the curve to the left of z-scores.
Find the probability in the standard normal table that a value is to the left of 1.9.
Find the probability in the standard normal table that a value is to the left of 0.4.
Subtract the probability of a value being to the left of 0.4 from the probability of a value being to the left of 1.9.
I need help please! ASAP!
Answer:
Step-by-step explanation: