PLEASE HELP ME PLEASE PLEASE
Torren deposits $4500 in an account earning 2% interest, compounded
annually. The equation that represents this situation is:
A(n) = 4500(1 + 0.02)" - 1
How much will he have in the account at the beginning of year 9? Round your
answer to the nearest dollar.
Answers
An amount of $ 5272 he will have in the account at the beginning of year 9. Option D is corect.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
The expression is;
[tex]\rm A(n) = 4500(1+0.02)^{n-1}[/tex]
At the beginning of 9-year value of n is 9,substitute the value to get he amount;
[tex]\rm A(n) = 4500(1+0.02)^{n-1} \\\\ \rm A(n) = 4500(1+0.02)^{9-1} \\\\ A(n) = \$ 5272[/tex]
Hence, option D is corect.
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Related Questions
find the interior angle sum for the following polygon.
Answers
We know that the interior angle sum of a polygon is (n − 2) × 180°, where n is the number of sides.
Here, number of sides (n) = 12
So, interior angle sum = (n − 2) × 180°
=> interior angle sum = (12 - 2) × 180°
=> interior angle sum = 10 × 180°
=> interior angle sum = 1800°
So, the interior angle sum of this polygon is 1800°.
What is the quotient? t +3 t +4 f+7t+12) 0 (t + 3)2 (t+4)2 1 (t-4) 1 (t + 3)?
Answers
Answer:
1
-----
(t+4)^2
Step-by-step explanation:
(t+3)
------- ÷ (t^2+7t+12)
(t+4)
Copy dot flip
(t+3) 1
------- * --------------------
(t+4) (t^2+7t+12)
Factor
(t+3) 1
------- * --------------------
(t+4) (t+4)(t+3)
Cancel
1 1
------- * --------------------
(t+4) (t+4)
1
-----
(t+4)^2
Answer:
answer is b
Step-by-step explanation:
Deandra is doing her math homework. She completed the first 6 problems in 2 hours and the last 12 problems in 3 hours.
Which best describes Deandra’s rate for completing her homework?
Deandra completed the first 6 problems at a rate of 6 problems per hour and the last 12 at a rate of 2 problems per hour.
Deandra completed the first 6 problems at a rate of 3 problems per hour and the last 12 at a rate of 4 problems per hour.
Deandra completed the first 6 problems at a rate of 2 problems per hour and the last 12 at a rate of 6 problems per hour.
Deandra completed the first 6 problems at a rate of 4 problems per hour and the last 12 at a rate of 3 problems per hour.
Answers
Answer:
Deandra completed the first 6 problems at a rate of 3 problems per hour and the last 12 at a rate of 4 problems per hour.
Step-by-step explanation:
6 problems ÷ 2 hours = 3 problems per hour
12 problems ÷ 3 hours = 4 problems per hour
Answer B is the answer
I need help to find W =
Answers
Answer:
120
Step-by-step explanation:
Since the figures are similar the angles are the same
<A = <F
<B = <E
<C = <C
<D = <G
We know <G = 120 so angle D = 120
W = <D = 120
Answer:
w = 120 degrees
Step-by-step explanation:
ABCD and FECG are the same shapes, which means they also have the same angles.
∠A = ∠F
∠B = ∠E
∠C = ∠C
∠D = ∠G
∠G = 120°, so D = 120°
So, w = 120°
Yeah uh I have no idea how to do this.....
Use exponent laws to simplify this :
9√(a^-5 b^2)
The answer is 9b / a^5/2 I just don't know how so please show steps! Thank you
Answers
Answer:
9b /a^5/2
Step-by-step explanation:
9√(a^-5 b^2)
9 sqrt( a^ -5 b^2)
Rewriting sqrt as ^1/2
9 ( a^ -5 b^2)^1/2
9 ( a^ -5) ^1/2 ( b^2)^1/2
we know that an exponent to an exponent means multiply
9 a^ (-5*1/2) b^(2*1/2)
9 a^-5/2 b^1
9b a^ -5/2
We know that x^-y = 1/x^y
9b /a^5/2
Answer:
[tex]\frac{9b}{a^{2} }[/tex][tex]\sqrt{\frac{1}{a} }[/tex] should be the answer of the problem that you posted
if you try to solve using [tex]\sqrt{x}[/tex] as as [tex]x^{\frac{1}{2} }[/tex]
then [tex](a^{-5)} ^{\frac{1}{2} } \\[/tex] = [tex](a^{-5/2)}[/tex] = [tex]\frac{1}{a^{\frac{5}{2} } }[/tex]
[tex]\frac{1}{a^{\frac{5}{2} } }[/tex] * 9b = [tex]\frac{9b}{a^{\frac{5}{2 } } }[/tex]
Step-by-step explanation:
[tex]9 \sqrt{(a^-5 b^2)}[/tex]
[tex]x^{-1} = \frac{1}{x}[/tex]
[tex]a^{-5} = \frac{1}{a^{5} }[/tex]
[tex]\sqrt{b^{2} } = b[/tex]
[tex]a^{4}[/tex] a's can be removed from the radicle (one will be left in because you have a^5)
[tex]\frac{9b}{a^{2} }[/tex][tex]\sqrt{\frac{1}{a} }[/tex]
Eliana claims she has discovered a method for determining the general form equation of a line
The line Ax + By + C = 0 will always be perpendicular to the line Bx - Ay + C = 0.
Is Eliana's method reasonable? Explain why or why not?
Answers
Answer:
The answer is below
Step-by-step explanation:
The general form of a line is given by:
Ax + By + C = 0
The slope intercept form of a line is give by:
y = mx + b;
where m is the slope and b is the y intercept
Given a line with equation Ax + By + C = 0; the slope of the line can be gotten by representing in slope intercept form, hence it becomes:
By = -Ax - C
y = (-A/B)x - C/B
The slope is -A/B
For a line with equation Bx - Ay + C = 0:
Ay = Bx + C
y = (B/A)x + C/A
the slope is B/A
Two lines are said to be perpendicular if the product of the slopes is -1. Hence:
-A/B * B/A = -1; hence the two lines are perpendicular
calculate the price with VAT of the following case.
MP=Rs.400000
profit=Rs.20000
Discount=10%
VAT=13%
Answers
Answer: $427140
Step-by-step explanation:
Firstly, we'll add MP to the profit and this will be:
= Rs 400000 + Rs 20000
= Rs 420000
Since there is a discount of 10%, this will then be:
= 420000 - (10% × 420000)
= 420000 - 42000
= $378000
With a VAT of 13%, then the final price will be:
= $378000 + (13% × $378000)
= $378000 + (0.13 × $378000)
= $378000 + $49140
= $427140
Un litro de leche de búfala equivale a 1.7 litros de leche de vaca. ¿si tengo 27 litros de leche de búfalo, a cuantos litros de leche de vaca equivaldría?
Answers
Answer:
Equivaldría a 45.9 litros de leche de vaca.
Step-by-step explanation:
Esta pregunta se resuelve por proporciones, usando una regla de tres.
Un litro de leche de búfala equivale a 1.7 litros de leche de vaca.
27 litros de leche de buffalo - x litros de leche de cava
1 - 1.7
Aplicando multiplicación cruzada :
[tex]x = 27*1.7 = 45.9[/tex]
Equivaldría a 45.9 litros de leche de vaca.
A survey was taken of students in math classes to find out how many hours per day students spend
on social media. The survey results for the first., second-, and third-period classes are as follows:
First period: 2,4,3,1,0, 2, 1, 3, 1,4,9,2,4,3,0
Second period: 3,2,3,1,3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2
Third period: 4,5, 3, 4, 2, 3, 4, 1, 8, 2, 3, 1, 0, 2, 1,3
Which is the best measure of center for second period and why? (5 points)
1. Mean, because there are no outliers that affect the center
2. Median, because there is 1 outlier that affects the center
3. Interquartile range, because there is 1 outlier that affects the center
4. Standard deviation, because there are no outliers that affect the center
Answers
Answer:
1. Mean, because there are no outliers that affect the center
Step-by-step explanation:
Second period: 3,2,3,1,3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2
Sorted values : 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4
The mean = ΣX / n
n = sample size, n = 15
Mean = 34 / 15 = 2.666
The median = 1/2(n+1)th term.
1/2(16)th term = 8th term.
The 8th term = 2
The best measure of centre is the mean because the values for the second period has no outliers that might have affected the centre of the distribution.
Both interquartile range and standard deviation are measures of spread and not measures of centre.
Can someone please help me with this
Answers
Answer:
8.5 km
Step-by-step explanation:
The distance is given by sqrt(8^2+3^2)=sqrt(64+9)=sqrt(73)=8.5 km
the tub started with gallons of water
Answers
Answer:
huh?
Step-by-step explanation:
Find the solution to (-1)+5-(-6)-5=
Answers
Q) -1 + 5 - (-6) - 5 = ?
→ -1 + 5 + 6 - 5
→ {-1 + 5} + {6 - 5}
→ 4 + 1
→ 5 is the solution.
Function g is the result of these transformations on the parent sine function:
-vertical stretch by a factor of 3
-horizontal shift left pi/2
-units vertical shift down 4 units
Below is the question from the Edmentum test :)
Answers
Answer:
g(x) = 3·sin(x + π/2) - 4
Step-by-step explanation:
The given (general form of a) sin function is g(x) = A·sin(x + C) + D
Where;
A = The amplitude (the vertical stretch) = 3
C = The phase shift, left = π/2
D = The vertical shift = 4 units down = -4
Therefore, given that in the parent function, we have f(x) = sin(x), by substituting the values of A, C, and D to complete the equation modeling the function g, we get;
g(x) = 3·sin(x + π/2) - 4
cho tam giác ABC có A(3;4), B(2;1), C(-1;-2). tìm điểm M nằm trên đường thẳng BC sao cho S ABC=3S ABM
Answers
Answer:
Step-by-step explanation:
ram has got 3 children. what is the probability of his children being same sex
Answers
Answer:
1/9
Step-by-step explanation:
...................
Marla noticed that her friend Ron had three times as many pieces of candy as she did. She told him, "If you give me seven pieces of your candy, we'll have exactly the same number of pieces." Ron responded, "I didn't know that until you mentioned it. But I'll make you a deal: If you can show me how to solve this puzzle using algebra, I'll give you the seven pieces. "One minute later, Ron was shocked to see that Marla had solved it perfectly. Can you do the same?
Answers
Answer:
This question seems to be asking for the work, so I put it below.
Anyhow, Marla had 3.5 candies, and Ron had 10.5.
Step-by-step explanation:
x = 3x - 7 (lets set this as "a") { a = 3x - 7}
x + 7 = 3x -7 + 7
x + 7 = 3x
( x + 7 ) / 3 = 3/3x
( x + 7 ) / 3 = x = *(same as "a") {a}
( x + 7 ) / 3 = 3x - 7
( x + 7 ) / 3 * 3 = ( 3x - 7 ) * 3
x + 7 = 9x - 21
x - x + 7 = 9x - x - 21
7 = 8x - 21
7 + 21 = 8x - 21 + 21
28 = 8x
28 / 8 = 8/8x
3.5 = x
We can plug this back into the original equation and find that it is correct because:
x = 3x - 7
x = 3.5 =====
3.5 = 3( 3.5 ) - 7
3.5 = 10.5 - 7
3.5 = 3.5
Answer:
Marla has 7 and Ron has 21
Step-by-step explanation:
lets take
no. of candies Marla has as "x"
and no. of candies Ron has will be "3x"
Marla says if Ron gives her seven candies, they will have the same no. of candies
so your equation will be -
x + 7 = 3x - 7 (as Marla gets the candy, Ron loses the candy)
3x - x = 7 + 7
2x = 14
∴x = 7
and 3x = 3 x 7 = 21
YOUR WELCOME
∠
∠
H
and
∠
∠
G
are linear pairs. m
∠=40∘
∠
H
=
40
∘
. The measure of
∠
∠
G
is _________ degrees.
Answers
Answer:
G = 140
Step-by-step explanation:
Linear pairs add to 180
H+G = 180
40+G = 180
G = 180-40
G = 140
Find the missing side lengths
Answers
Answer:
Download gauthmath it will help
Jesus loves u
have a awesome day don’t let anyone bring u down♥︎
Here are the fuel efficiencies (in mpg) of 8 new cars.
16, 42, 13, 27, 54, 13, 23, 31
What is the percentage of these cars with a fuel efficiency less than 27 mpg?
Answers
Answer:
4/8= 2/4=1/2= 50%
Step-by-step explanation:
4 out of the 8 new cars have a fuel efficiency of less than 27 mpg. that is is 50%
cherly gets paid $8 per hour at her job at the record store. she made a total of $96 last week .write a multiplication equation to show how many hours she worked last week
Answers
Answer:
8(h)=96
Step-by-step explanation:
Remember when you are writing a multiplication equation, it's a division backwards.
96/8=h
h×8=96
hope this helps you
goodluck
Answer: 8x=96
Step-by-step explanation:
8X = 96
X = 96/8
X = 12 hours
Simplify
(+8)-(-4)+(-5)
Answers
Answer:
17
Step-by-step explanation:
8+4+5=17
Answer:
7
Step-by-step explanation:
(+8)-(-4)+(-5)
=8+4-5
=12-5
=7
need help with this!!!
Answers
Answer:
I say the fourth one just because
2/5 divided by 8/5 .......
Answers
1/4
Step-by-step explanation:
2/5 divided by 8/5
Multiply 5 by 2 then 5 by 8
10/40
Simplify 10/40
10/40 = 1/4
Answer:
1/4
Step-by-step explanation:
2/5 divided by 8/5 is the same as 2/5 * 5/8. we cross out the same 5's to get 2/8. We simplify that to 1/4.
1/4 is our answer.
use the ratio of a 45-45-99 triangle to solve for the variables.
Answers
Answers:
[tex]a = 18\sqrt{2}[/tex]
[tex]b = 18[/tex]
==============================================================
Explanation:
For any 45-45-90 triangle, the two legs are the same length. We consider triangles like this to be isosceles. So we have b = 18 as the vertical leg because the horizontal leg is also 18 units long.
The hypotenuse of these types of triangles is always [tex]\sqrt{2}[/tex] times longer compared to the leg length. So the hypotenuse is [tex]a = 18\sqrt{2}[/tex]
As an alternative, you can use the pythagorean theorem to find the hypotenuse.
Have fun all !!! This is my trash account. You all can have my points.
Answers
Answer:
Step-by-step explanation:
OK
Answer:
rshjgdlf
FGshjfgsfds
Step-by-step explanation:
GIMME'
A heron can travel an average of 400 km in 10h. What is the rate of change of distance?
Answers
Rate of change of distance is also known as speed.
Given,
Distance (s) = 400km = 400 × 1000m = 400,000m
Time (t) = 10h = 10 × 3600s = 36,000s
We know that,
Speed (v) = Distance/Time
[tex]=> v = \frac{s}{t} \\ => v = \frac{400000m}{36000s} \\ => v = \frac{400m}{36s} \\ => v = \frac{100m}{9s} \\ => v = \frac{100}{9}m {s}^{ - 2} \\ [/tex]
A heron can travel an average of 400 km in 10 hours. Then the rate of change of distance that is speed is [tex]11.12 ms^{-2}[/tex].
What is the meaning of the term “distance”?Distance is a measurement of how far apart two things or locations are, either quantitatively or occasionally qualitatively. Distance in physics or common language can refer to a physical length or an estimate based on other factors.
The term is frequently used metaphorically to refer to a measurement of the amount of difference between two similar objects, or a degree of separation as exemplified by distance between people in a social network.
The concept of a metric space is used in mathematics to formalize the majority of such concepts of distance, both literal and figurative.
[tex]Distance (s) = 400km \\= 400 \times 1000m \\= 400,000mTime (t) = 10h \\= 10 \times 3600s \\= 36,000s\\\\Speed = Distance / Time\\= 400000 / 36000\\= 11.12 ms^{-2}[/tex]
Therefore, the rate of change of distance that is speed is [tex]11.12 ms^{-2}[/tex].
Learn more about distance from here:
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9)Using appropriate properties , find 7
5
×
5
12
−
3
12
×
7
5
−
1
15
Answers
Answer:
-20940
Step-by-step explanation:
5 x 512 - 312 x 75 - 115
According to BODMAS ,
2575 - 23400 - 115
= -2090
Answer:
[tex] \frac{1}{6} [/tex]
Step-by-step explanation:
[tex] \frac{7}{5} \times \frac{5}{12} - \frac{3}{12} \times \frac{7}{5} - \frac{1}{15} = \frac{7}{5} ( \frac{5}{12} - \frac{3}{12} ) - \frac{1}{15} = \frac{7}{5} \times \frac{1}{6} - \frac{1}{15} = \frac{7}{30} - \frac{2}{30} = \frac{5}{30} = \frac{1}{6} [/tex]
Whose perfect square should be added to the sum of the greatest three digit prime number and the smallest two-digit prime number, so that the resultant number is perfect square of 32? pls give me ans pls pls pls
Answers
Answer:
Step-by-step explanation:
Let y is the required number.
a/c to question,
y² + greatest three digit prime number + smallest two digit prime number = 32²
we know, greatest three digit prime number = 997
smallest two digit prime number = 11
now, y² + 997 + 11 = 32²
or, y² + 1008 = 1024
or, y² = 1024 - 1008
or, y² = 16
or, y = 4
hence, required number number is one digit even number e.g., y = 4
Hope this answer helps you :)
Have a great day
Mark brainliest
7.2b + 6.5 > 4.8b – 8.1
Answers
Answer:
[tex]7.2b+6.5>4.8b-8.1[/tex]
Multiply both sides by 10
[tex]72b+65>48b-81[/tex]
Subtract both sides by 65
[tex]72b>48b-146[/tex]
Subtract both sides by 48b
[tex]24b>-146[/tex]
Divide both sides by 24
[tex]b>-\frac{73}{12}[/tex]
OAmalOHopeO
what is the domain of the function in the graph?
Answers
Answer:
6AJNSDJN
Step-by-step explanation:
