Answer:
D. $5,676.88
Step-by-step explanation:
A=P(1+r/n)^n*t
Where
P=principal=$5000
r=interest rate=6.45%=0.0645
n=periods=2(semiannually)
t=time=2 years
A=P(1+r/n)^n*t
=5,000(1+0.0645/2)^2*2
=5,000(1+0.03225)^4
=5000(1.03225)^4
=5000(1.13553756247925)
=5,676.8781
Approximately
$5,676.88
What is the simplified expression for the expression below? 4(3x – 2) + 6x(2 – 1)
Step-by-step explanation:
4(3x-2) + 6x(2-1)
10x + 11x
21x
Answer:
18x - 8
Step-by-step explanation:
what does it mean by bisecting angles
Answer: A line that splits an angle into two equal angles.
Step-by-step explanation: ("Bisect" means to divide into two equal parts.)
Bisecting angles: A line that splits an angle into two equal angles.
How do I solve this problem??
Answer:
3/10 m^2
Step-by-step explanation:
To calculate area of a triangle we multiply height with base and then divide that by 2
2/5 × 3/2 ÷ 2 = 3/10
I’m kinda stuck on this, could anyone explain it ?
The slope of the given line is -3/4.
Any line perpendicular to this one will have slope -1/(-3/4) = 4/3.
Use the given point and the point-slope formula to get the equation of the particular line:
y - (-1) = 4/3 * (x - 0)
y + 1 = 4x/3
y = 4x/3 - 1
Two parallel lines are crossed by a transversal. Parallel lines x and y are cut by transversal w. On line x where it intersects with line w, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 2, 4, 3, 1. On line y where it intersects with line w, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 6, 8, 7, 5. If mAngle6 = 123.5°, then mAngle1 is 56.5°. 67.5°. 123.5°. 136.5°.
Answer:
(A)[tex]56.5^\circ[/tex]
Step-by-step explanation:
From the diagram attached:
Angle 1 and Angle 6 are Co-Interior Angles.
The sum of co-interior angle is 180 degrees.
Therefore:
[tex]m\angle 1+ m\angle 6=180^\circ\\\\m\angle 6=123.5^\circ,$ therefore:\\m\angle 1+ 123.5^\circ=180^\circ\\m\angle 1=180^\circ-123.5^\circ\\m\angle 1=56.5^\circ[/tex]
The measure of angle 1 is therefore 56.5 degrees.
The correct option is A.
∠6 and ∠1 are same-side interior angles, m∠6 = 123.5°, therefore m∠1 will be: A. 56.5°
Recall:
Same-side interior angles are supplementary to each other. They add up to give 180°.The image showing the two parallel lines that is cut by a transversal creating angles is shown in the diagram attached below.
Given:
m∠6 = 123.5°
∠6 and ∠1 are same-side interior angles.
Therefore:m∠6 + m∠1 = 180°
Substitute123.5° + m∠1 = 180°
Subtract both sides by 123.5°m∠1 = 180° - 123.5°
m∠1 = 56.5° (Option A)
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What is the length of AC? And Length of AB?
Answer:
The length of AC is 5 units. The length of AB is 3 units.
Step-by-step explanation:
The velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented by the table. The acceleration due to gravity is the constant of variation. What is the acceleration due to gravity of a falling object?
Answer: 10.2
Step-by-step explanation:
The function in the table below shows the relationship between the total number of houses built in an area and the number of months that passed. A two column table with five rows. The first column, Months Passed, has the entries, 0, 3, 4, 8. The second column, Total Houses Built, has the entries 0, 33, 46, 108. Which best describes the data set? It is nonlinear because the “Total Houses Built” column does not increase at a constant additive rate. It is nonlinear because the “Months Passed” column does not increase at a constant additive rate. It is nonlinear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” does not show a constant rate of change. It is linear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” shows a constant rate of change.
Answer: C. I hope this helps ❤️.
Answer:
the correct answer is c
Step-by-step explanation:
y=-5y=−5 Evaluate this expression: 3y+6=3y+6=
Answer: 3y+6
Step-by-step explanation:
What is the x-value of the vertex?
f(x)=(x+2)^2−1
x-value of the vertex:
Answer:
-2
Step-by-step explanation:
x-value of the vertex is -2.
What is vertex form of parabola?The vertex formula helps to find the vertex coordinates of a parabola. The standard form of a parabola is [tex]y = ax^{2} + bx + c.[/tex] The vertex form of the parabola [tex]y=a(x - h)^{2} + k.[/tex]
Given
[tex]f(x)=(x+2)^{2}- 1[/tex]............................(1)
The vertex formula helps to find the vertex coordinates of a parabola.
The standard form of a parabola is [tex]y = ax^{2} + bx + c.[/tex]
The vertex form of the parabola [tex]y=a(x - h)^{2} + k.[/tex]
By comparing vertex form of parabola in equation 1
a = 1, h = -2 , k = -1
Hence, x-value of the vertex is -2
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I need to know this problem cause I need to finish summer school
Answer:
27
Step-by-step explanation:
#3 is 1/3^3, and #4 is 1/x. The x is obviously 3^3 simplified, which is 27.
I see that you are in high school. Im in 7th grade and i can do this lol.
please answer asap! A couple plans to have 5 children. The gender of each child is equally likely. Design a simulation involving 125 trials that you can use to model the genders of the children. Write your answers as numbers.
Step-by-step explanation:
The gender of a child which is either a boy or a girl is determined by the XX-chromosomes, or XY-chromosomes.
Since the couple plan to have 5 children, the chance of a child being a boy is equal to the chance of it being a girl - the chances are 50/50.
What we do to achieve our aim is to run a simulation that would add an X or Y to an X for all 5 children.
Doing this 125 times, we obtain the number of trials we desire.
For each trial, we get for each child, C:
C1: X + (X or Y)
C2: X + (X or Y)
C3: X + (X or Y)
C4: X + (X or Y)
C5: X + (X or Y)
Since the chance of having an X is equal to the chance of having a Y, they equal probability, which is 0.5 for each.
In an election of housing society,there are 30 voters.Each of them gives the vote.Three persons X,Y and Z are standing for post secretary.If Mr.X got 2/5 of the total votes and Me.Z got 1/4 of the total votes then how much did Mr.Y get?
Answer:
Mr Y got 10 votes
Step-by-step explanation:
The election of the housing society has 30 voters. Each of them gives the vote. The three person vying for the post of secretary are X, Y and Z.
Le us calculate the votes of each contestant
Mr X
He got 2/5 of the total votes
number of votes = 2/5 × 30
number of votes = 60/5
number of votes = 12
Mr Z
He got 1/4 of the total votes
number of votes = 1/4 × 30
number of votes = 30/4
number of votes = 1/4 × 30
number of votes = 7.5 ≈ 8 votes
Mr Y
The remaining votes will be 30 - 12 - 8 = 10 votes
Therefore,
Mr Y got 10 votes
How do I post a picture
Answer:
Go to me. Click on your profile picture then click on your profile picture again to change it
At Central Online High School, 45/100 of the students have a dog, 30/100 of the students have a cat, and 18/100 of the students have both a dog and a cat. What is the probability that students who have a cat also have a dog?
Answer:
6/15Step-by-step explanation:
18/30 becuase 30 have a cat and 18 have both.
18/30 = 6/15
I'm always happy to help :)
how many servings are in 8 liters of honey if one serving is 1/4 of a liter?
Answer:
32 servings
Step-by-step explanation:
Take the amount of honey and divide by the size of a serving
8 ÷ (1/4)
Copy dot flip
8 * 4/1
32
There are 32 servings
Answer:
32 servings
Step-by-step explanation:
Please help quick im timed!!
Answer: C
Step-by-step explanation:
Make them both equal to 0
Answer:
answer is c
Step-by-step explanation:
Please answer (-3+4)2 and another one is -5(4-2) I need answers to both pleaseee
Answer:
Step-by-step explanation:
Think of the outside function as a scaling quantity. You are applying that outside term to each and every term on the inside, Thats the basis for the distributive property.
1.)3 x 2 + 3 x 8 = 24
Now that you got the steps down, ima do the rest in my head
2.) 2
3.) -10
4.) -50
Answer:
Step-by-step explanation:
Distributive property: a(b +c) = ab + ac
a(b - c) = ab - ac
1) 3(2 + 8) = 3*2 + 3*8
= 6 + 24
= 30
2) (-3 + 4)2 = -3*2 + 4*2
= -6 + 8
= 2
3) -5(4 - 2) = -5*4 - (-5)*2
= - 20 + 10
= -10
4)(12 +13)(-2) = 12*(-2) + 13 *(-2)
= -24 - 26
= -50
If the regular recipe that makes 14 pancakes calls for 1 cup of milk, how many cups should I use to make 21 pancakes? Group of answer choices 1 cup 2 cups 0.5 cups 1.5 cups
Answer:
x = 1 1/2 cups
1.5 cups
Step-by-step explanation:
We can use ratios to solve
14 pancakes 21 pancakes
------------------ = ------------
1 cup x cups
Using cross products
14x = 21*1
Divide each side by 14
14x/14 = 21/14
x = 3/2
x = 1 1/2 cups
Please help! Correct answer only!
Out of 250 tickets in a raffle, one ticket will win a $190 prize, one ticket will win a $120 prize, one ticket will win a $90 prize, and one ticket will win a $50 prize. The rest will win nothing. If you have a ticket, what is the expected payoff?
$____
Answer:
$1.80
Step-by-step explanation:
(190+120+90+50)/250= a total expected payoff of 1.8 dollars. Hope this helps!
PLEASE HELP IM STRUGGLING here is a rectangle all the measurements are in centimeters
The perimeter of the rectangle is 39cm
Work out the area of the rectangle
Answer:
Area of the rectangle = 95 cm²
Step-by-step explanation:
Perimeter of the rectangle = Sum of the measures of the sides of the rectangle
From the figure attached,
Perimeter of the rectangle = 2[(3x -1) + (2x + 3)]
39 = 2(5x + 2)
39 = 10x + 4
10x = 39 - 4
10x = 35
x = 3.5
Therefore, measure of the given sides will be,
Length = (3x - 1) cm
3x - 1 = (3×3.5) - 1
= 10.5 - 1
= 9.5 cm
Width = (2x + 3) cm
2x + 3 = (2×3.5) + 3
= 7 + 3
= 10 cm
Area of the rectangle = Length × width
= 9.5 × 10
= 95 cm²
Therefore, area of the rectangle is 95 cm².
help me for brainetest pls answer on paper on a number line
Answer:
10 5/8
Step-by-step explanation:
what are the values a b and c in the quadratic equation 0 equals 5x - 4x^2- 2
Answer:
A: -4
B: 5
C: -2
Step-by-step explanation:
The equation we are given is 5x-4x²-2. We can rewrite this in order of standard form.
-4x²+5x-2
Now that we have the standard form, we can find a, b, and c. A, B, and C ar ethe coefficients of each term.
A: -4
B: 5
C: -2
If a line segment AB is on the number line, and the point A is at - 4 and point B is at 7, the length of AB is ____. Select one: a. - 3 b. 11 c. 3 d. 10
The length of the segment AB is 11
How to determine the length of the segment?The given parameters are:
A = -4
B = 7
The length of the segment is calculated as:
AB = |A - B|
Substitute known values
AB = |-4 - 7|
Evaluate the difference
AB = |-11|
Take the absolute difference of 11
AB = 11
Hence, the length of the segment AB is 11
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A sample of gold has a volume of 3 cm3 and a mass of 40.7 grams. What is the density of this sample?
Answer:
Density = 13.57 g/cm³
Step-by-step explanation:
▪Volume = 3 cm³
▪Mass = 40.7 grams.
▪Density (p) = Mass (m) ÷ Volume (v)
p = m ÷ v
p = 40.7 ÷ 3
p = 13.56666
p = 13.57 g/cm³
What is the frequency of a wave with a period of 0.2 seconds?
Answer: 5 Hz
The frequency is the inverse of period... Them:
[tex]f=\frac{1}{T}=\frac{1}{0.2}=5 Hz[/tex]
how is converting percentages to and from fractions and decimals used in daily life
Answer & Step-by-step explanation:
We use decimals every day while dealing with money, weight, length etc. Decimal numbers are used in situations where more precision is required than the whole numbers can provide. For example, when we calculate our weight on the weighing machine, we do not always find the weight equal to a whole number on the scale.
PLEASE HELP WILL MARK BRAINLIEST
What is the location of A on the decimal number line below?
Write your answer as a decimal.
Answer:
2.6
Step-by-step explanation:
A is after the 6th of 10 spaces between 2 and 3. It has the value 2 +6/10 = 2.6.
Anyone know the answer ?
Answer:
n = 7
Step-by-step explanation:
[tex]Area \: of \: \triangle = \frac{1}{2} \times base \times height \\ \\ 12 = \frac{1}{2} \times (n + 5) \times (n + 5 - 10) \\ \\ 12 \times 2 = (n + 5)(n - 5) \\ \\ 24 = {n}^{2} - {5}^{2} \\ \\ 24 = {n}^{2} - 25 \\ \\ 24 + 25 = {n}^{2} \\ \\ {n}^{2} = 49 \\ \\ n = \pm \: \sqrt{49} \\ \\ n = \pm \: 7 \\ \\ n = - 7 \: \: or \: \: n = 7 \\ [/tex]
Answer:
n = -7 ∪ 7
=> n = |7|
Step-by-step explanation:
S = 12cm = (n + 5) * (n + 5 - 10) / 2
[tex]S = 12cm = \frac{(n + 5) * (n + 5 - 10)}{2}\\\\=> 12 = \frac{(n+5)(n-5)}{2} \\12 = \frac{n^2-25}{2} \\24 = n^2 - 25\\-n^2 = -25 - 24\\-n^2 = - 49\\n^2 = 49\\n = |7| =>\\ x_1 = -7\\x_2 = 7\\[/tex]
What is true of the given function? The function increases at a constant additive rate. The function increases at a constant multiplicative rate. The function has an initial value of 0. As each x value increases by 1, the y values increase by 1.
Answer;
Option B is correct.
The function increases at a constant multiplicative rate.
Step-by-step Explanation:
Complete Question
A table representing the function f(x) = 2(3/2)ˣ is shown below. What is true of the given function?
x | f(x)
0 | 2
1 | 3
2 | 4.5
3 | 6.75
a) The function increases at a constant additive rate.
b) The function increases at a constant multiplicative rate.
c) The function has an initial value of 0.
d) As each x value increases by 1, the y values increase by 1.
Solution
The function provided is
f(x) = 2(3/2)ˣ
We will take as h of the options one at a time to investigate which one is true.
a) The function increases at a constant additive rate.
A function that increases at an additive rate is one whose value as x increases, also changes with a constant difference between consecutive terms. That is, the consecutive terms of the functions for consecutive whole number values of x, will be like an Arithmetic progression with a constant common difference. If this function increased at an additive rate,
f(1) - f(0) = f(2) - f(1) = f(3) - f(2)
Inserting the values
3 - 2 = 4 5 - 3 = 6.75 - 4.5
1 ≠ 1.5 ≠ 2.25
Hence, this statement isn't true.
b) The function increases at a constant multiplicative rate.
For the function to increase at a multiplicative rate, the consecutive terms of the functions for consecutive whole number values of x will behave like a geometric progression with a common ratio. That is, the division of the (n+1)th term and the nth term of the function will always be a constant. That is,
f(1) ÷ f(0) = f(2) ÷ f(1) = f(3) ÷ f(2)
Inserting the values
(3/2) = (4.5/3) = (6 75/4.5)
1.5 = 1.5 = 1.5
The ratio is truly constant, hence, we can conclude that this statement is true and the function increases at a constant multiplicative rate.
c) The function has an initial value of 0.
For this to be true, f(0) = 0.
But from the table, it is evident that f(0) = 2, hence, the initial value of the function isn't 0 and this statement is false.
d) As each x value increases by 1, the y values increase by 1.
We've already checked the difference between consecutive terms of the functions for consecutive whole number values of x, the difference includes, 1, 1.5 and 2.25. Hence, as each x value increases by 1, the y values do NOT always increase by 1 and this statement is false.
Hope this Helps!!!
Answer:
B
Step-by-step explanation: