Answer:
At an interest rate of 4.5% compounded annually, it will take 16.17 years to reach $17,323.-
Step-by-step explanation:
Giving the following information:
Present Value (PV)= $8,500
Future value (FV)= $17,323
Interest rate (i)= 4.5%
To calculate the time required for the investment to reach the objective, we need to use the following formula:
n= ln(FV/PV) / ln(1+i)
n= ln(17,323/8,500) / ln(1.045)
n= 16.17 years
At an interest rate of 4.5% compounded annually, it will take 16.17 years to reach $17,323.-
A serving of crackers has 1.5 grams of fat.
How many grams of fat are in 3.75 servings?
O A. 3.90
B. 5.25
C. 5.305
D. 5.625
Law of Sines, due by tonight
Answer:
[tex]21^{\circ}[/tex]
Step-by-step explanation:
The Law of Sines is given by [tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex] and works for every triangle.
Substituting given values, we have the following equation:
[tex]\frac{\sin 68^{\circ}}{18}=\frac{\sin C}{7}, \\\\\sin C=\frac{7\sin 68^{\circ}}{18},\\\\C=\sin^{-1}(0.36057149899),\\\\C\approx \boxed{21^{\circ}}[/tex]
*Note that because [tex]\sin \theta=\sin(180-\theta)[/tex], when solving for an angle with the Law of Sines, there may be two answers. However, since the problem designates angle C as an acute angle, the other angle is negligible.
how many different California license plates can be made if there has to be one number followed by three letters followed by three more numbers
Answer:
175,760,000 different California license plates can be made.
Step-by-step explanation:
Possible outcomes for each number of letter:
10 numbers(from 0 to 9) and 26 letters.
Format of the plate:
Number - letter - letter - letter - number - number - number
The numbers of possible outcomes are:
10 - 26 - 26 - 26 - 10 - 10 -10
How many different plates?
We multiply these values. So
10*26*26*26*10*10*10 = 175,760,000
175,760,000 different California license plates can be made.
The rectangle is rotated 180° about the origin. What are the new coordinates of point D ?
Answer:
The answer is C
Step-by-step explanation:
there is no explanation
please help:
Question 3 of 10 Choose the function whose graph is given by: A. y = 2sec(2x) B. y= 2csc(z x) C. y= 2sec(3x) D. y = sec(2x) + 2
Answer is A y=2sec(2x)
The function whose graph is given by A y=2sec(2x)
What is graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
For example, if the graph of a function is rising upwards after a certain value of x, then the function having increasingly output for inputs greater than that value of x.
If the function crosses x axis at some point, then for polynomial functions, we have those as roots of the polynomial.
The function that we are given graphed has the point (0,2), this means whichever function f(x) it represents f(0) = 2.
Now, only the sec function has the property that;
y=2sec(2x)
The function whose graph is given by A y=2sec(2x)
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The moving company
charges extra money to move boxes weighing more than
25 pounds. Circle the packages that weigh less than 25 pounds.
Put an X on the packages that weigh more than 25 pounds.
320 ounces
480 ounces
288 ounces
368 ounces
352 ounces
432 ounces
Write down the image of A(5,8) under reflection about Y-axis is
Answer:
Step-by-step explanation:
use formula
P(x,)=P'(-x,y)
A(5,8)=A'(-5,8)
convert 495.05 to fraction
Answer:
9901 / 2000
Step-by-step explanation:
might be wrong
A poll states that Hillary Clinton will receive 43 percent of the vote. There is an 8 percent margin of error. What do you think of the poll
Step-by-step explanation:
This system of election result forecast is called a non-representative poll with a high percent margin of error. and used as an alternative to an expensive and tedious representative poll system.
Non-representative polls can be used to produce accurate electoral predictions and may frequently be done faster and cheaper than typical survey procedures.
Not just for the election forecasts, but also for public opinion on a wide variety of social, economic, and cultural topics, non-representative polling appears promising.
PLS HELP!! need the answer asap
x^2-16=0 solve for all real values of x
Hi there! Use the difference of two squares formula below:
[tex] \large \boxed{ {x}^{2} - {y}^{2} = (x + y)(x - y)}[/tex]
You need to know that what number times itself and get 16. 16 comes from 4×4 or 4².
Then,
[tex] \large{ {x}^{2} - 16 = (x + 4)(x - 4)}[/tex]
[tex] \large{(x + 4)(x - 4) = 0}[/tex]
Solve the equation for all real values of x.
[tex] \large{x = 4, - 4}[/tex]
If you don't like using a formula. You can do this:
[tex] \large{ {x}^{2} - 16 = 0} \\ \large{ {x}^{2} = 16} \\ \large{x = \pm \sqrt{16} } \\ \large{x = \pm 4}[/tex]
If you remember the square root well, the square root of 16 is 4×4. Pull out the two 4's and thus the square root of 16 is 4.
For the square both sides method above (second method), we can define that:
[tex] \large \boxed{ \large{ {x}^{2} = a \longrightarrow x = \pm a }}[/tex]
Answer
x = 4,- 4 (You can answer x = ±48(2n - 5) = 3(6n - 2)
Answer:
n=-17
Step-by-step explanation:
8(2n-5)=3(6n-2)
1) Distributive property
16x-40=18x-6
16x−40=18x−6
2) Subtract 16x16x from both sides.
-40=18x-6-16x
−40=18x−6−16x
3) Simplify 18x-6-16x18x−6−16x to 2x-62x−6.
-40=2x-6
−40=2x−6
4) Add 66 to both sides.
-40+6=2x
−40+6=2x
5) Simplify -40+6−40+6 to -34−34.
-34=2x
−34=2x
6) Divide both sides by 22.
-\frac{34}{2}=x
−
2
34
=x
7) Simplify \frac{34}{2}
2
34
to 17
−17=x
8) Switch sides.
x=−17
5x (2yz + 4y - 3)
Use the distributive property to simplify the expression
Answer:
10xyz + 20xy - 15x
Step-by-step explanation:
5 x ( 2yz + 4 y - 3)
using the Distributive property multiply the each term by 5x
5x × 2yz + 5x × 4y - 5x × -3
calculate the product
10xyz + 20xy - 15x
Answer:
10xyz+20xy-15
Step-by-step explanation:
Which is an equation of a circle with center at (7,0) and
radius 4?
Answer:
Step-by-step explanation:
Properties
Center:(7,0)
The center of a circle is a point from which all points on a circle are the same distance.
Radius:4
The radius of a circle is the length of a line segment from its center to its perimeter.
The radius is typically denoted as "r" or "R".
Diameter:8
The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle.
Circumference or (or Permieter) = 2*π*R = 2*3.14*4 = 25.1327412287183
The circumference of a circle is the distance around it.
Area:50.2654824574367
Area of a Circle is the amount of space occupied by the circle.The area of a circle is p times the radius squared, which is written: A = π*R2.
Equation
Standard Form
The standard form for the equation oif a circle is
(x-a)2+(y-b)2=r2
And in our particular case:
(x-7)2+(y-0)2=42
(x-7)2+(y-0)2=16
General Form
The general form for the equation of a circle is
x2 + y2 + Ax + By + c = 0
We can get the general form by expanding the equation of the standard form
(x-a)2+(y-b)2=r2
(x-7)2+(y-0)2=42
(x-7)2+(y-0)2=16
x2-14x+49+y20y+0=16
x2+y2-14x+0y+33=0 Referenced definitions
Chord A chord of a circle a line segment that joins two points on the circumference of a circle.
π The ratio of a circle's circumference to its diameter. Equal to 3.1415926535... (the digits go on indefinitely without repeating)
Circle a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the centre).
The required equation of a circle will be (x - 7)² + y² = 16 with a center at (7, 0) and a radius of 4.
What is the equation of a circle?The equation of a circle with center (h,k) and radius r is :
r² = (x−h)² + (y−k)²
The center of the circle is given as (h,k) = (7, 0) which is given in the question
And radius r = 4
Substituting the given values into this equation gives us an equation of a circle with a center at (7, 0) and a radius 4:
(x - 7)² + (y - 0)² = 4²
Simplifying this equation gives us:
(x - 7)² + y² = 16
This is the equation of a circle with a center at (7, 0) and a radius of 4.
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in 2007 the poverty threshold for a family of four two of whom were related children was $21027 at the same time the poverty threshold for a family of four three of whom were related children was 21100 for each of the preceding years the difference between these two thresholds was less than $100 what is the conclusion you can draw from this
Answer:
MINIMUM WAGE does not increase much over time
Step-by-step explanation:
Based on the information given the conclusion you can draw from this is that MINIMUM WAGE DOES NOT INCREASE OR TEND TO GO UP MUCH OVER TIME Since the MINIMUM WAGES of the poverty threshold of whom TWO were related children was the amount of $21,027 and the poverty threshold of whom THREE were related children was the amount of $21,100 indicating that the minimum wages only increase from $21,027 to $21,100 given us the amount of $73 ($21,027 -$21,100) which is less than the amount of $100 as the difference between these TWO THRESHOLDS for each of the preceeding year.
-21. A consumer products company is formulating a new shampoo and is interested in foam height (in mm). Foam height is approximately normally distributed and has a standard deviation of 20 mm. The company wishes to test mm versus mm, using the results of n 10 samples. (a) Find the P-value
Answer:
0.057
Step-by-step explanation:
To obtain the p value, we need to obtain the test statistic :
For a one sample test :
Test statistic is given by :
(xbar - μ) ÷ (σ/√(n))
(185 - 175) ÷ (20/√(10))
10 ÷ 6.3245553
Test statistic = 1.581
Qe used the Z distribution because we are working with the population standard deviation.
Using the Pvalue from test statistic calculator :
Pvalue obtained using the Pvalue from Z statistic calculator, we obtain ;
Pvalue = 0.0569
Please answer what is 1 2 3 4 5 no links I forgot to do my homework
1. 40°
2. 50°
3. 45°
4. a. draw a line from angle P to downward but make it so it can cut angle OPQ from the half
b. 70°
c. angle TPQ = angle OPQ ÷2
angle TPQ = 140÷2= 70°
Can anyone help me with my math I have a picture of it
Type an equation for the
following pattern.
X
у
1
16/3
2.
14/3
[?]
x + [ ]
y =
3
4
4
10/3
5
8/3
Answer:
y = -2/3 x + 6
Step-by-step explanation:
Using the coordinates (1, 16/3) and (3,4)
Slope m = 4-16/3/3-1
Slope m = -4/3 * 1/2
Slope m = -2/3
For the y-intercept
Substitute (3,4) and m = -2/3 into y =mx+b
4 = -2/3(3) + b
4 = -2 + b
b = 4 + 2
b = 6
Get the required equaton;
Recall that y = mx+b
y = -2/3 x + 6
1. AC=EC
2.BC=DC
3.AB=DE
Answer:
1. AC = EC
Step-by-step explanation:
As it says that the figure has to be proved by SAS postulate. We know that, SAS stands for Side - Angle - Side, so we need to prove that any two sides and one angle of two triangles are equal/proportional or not.
Given, BC = CD, and angle ACB = angle DCE.
Therefore, the answer is 1. AC = EC.
The annual energy consumption of the town where Camilla lives increases at a rate that is proportional at any time to the energy consumption at that time. The town consumed 4.44.44, point, 4 trillion British thermal units (BTUs) initially, and it consumed 5.55.55, point, 5 trillion BTUs annually after 555 years. What is the town's annual energy consumption, in trillionso f BTUs, after 9 years?
Answer:
The town's annual energy consumption will be of 6.57 trillons of BTU after 9 years.
Step-by-step explanation:
The annual energy consumption of the town where Camilla lives increases at a rate that is proportional at any time to the energy consumption at that time.
This means that the consumption after t years is given by the following differential equation:
[tex]\frac{dC}{dt} = kC[/tex]
In which k is the growth rate.
The solution is, applying separation of variables:
[tex]C(t) = C(0)e^{kt}[/tex]
In which C(0) is the initial consumption.
The town consumed 4.4 trillion British thermal units (BTUs) initially.
This means that [tex]C(0) = 4.4[/tex]
So
[tex]C(t) = C(0)e^{kt}[/tex]
[tex]C(t) = 4.4e^{kt}[/tex]
5.5 trillion BTUs annually after 5 years.
This means that [tex]C(5) = 5.5[/tex]. We use this to find k. So
[tex]C(t) = 4.4e^{kt}[/tex]
[tex]5.5 = 4.4e^{5k}[/tex]
[tex]e^{5k} = \frac{5.5}{4.4}[/tex]
[tex]e^{5k} = 1.25[/tex]
[tex]\ln{e^{5k}} = \ln{1.25}[/tex]
[tex]5k = \ln{1.25}[/tex]
[tex]k = \frac{\ln{1.25}}{5}[/tex]
[tex]k = 0.0446[/tex]
So
[tex]C(t) = 4.4e^{0.0446t}[/tex]
After 9 years?
This is C(9). So
[tex]C(9) = 4.4e^{0.0446*9} = 6.57[/tex]
The town's annual energy consumption will be of 6.57 trillons of BTU after 9 years.
2. Caleb wants to tile the floor of his fort, the dimensions are 3mm by 4m. The tiles he
wants to buy come in squares. The perimeter of the tile is 80cm.
How many tiles will Caleb need?
tiles
Answer:
Number of tile need = 300 tiles
Step-by-step explanation:
Given:
Dimensions of floor = 3 m by 4 m
Perimeter of square tile = 80 cm
Find:
Number of tile need
Computation:
Perimeter of square tile = 4(Side)
80 = 4(Side of tile)
Side of tile = 80 / 4
Side of tile = 20 cm
Side of tile = 0.2 meter
Area of tile = 0.2 x 0.2
Area of tile = 0.04
Area of floor = 3 x 4
Side of tile = 12 square meter
Number of tile need = 12 / 0.04
Number of tile need = 300 tiles
pls help asap thanks <3
Answer:59
Step-by-step explanation:
beacause you need to added them all together
Make a line plot of the measurements in the table. Then find the fair share.
Table:
Amount of Sports drink (gallons)
1 over 4
1 over 2
1 over 3
1 over 2
1 over 4
1 over 3
1 over 3
1 over 2
Answer:
its nothing 0
Step-by-step explanation:
Answer:
Step-by-step explanation:
3/8 or 1/3 if you round it.
Please help It is important
Answer:
$54
Step-by-step explanation:
first find 1/4 of $80 and then take that answer and find 10% of that to get your answer
find the value of x.
Answer:
x = 5
Step-by-step explanation:
According to triangle angle bisector theorem, the ray divides the opposites side of the triangle into segments that are proportional to the other two sides.
So,
[tex]\frac{x-1}{x-2} = \frac{12}{9}\\\\\frac{x-1}{x-2} = \frac{4}{3}\\\\3(x-1) = 4(x-2)\\\\3x - 3 = 4x - 8\\\\4x - 3x = -3 +8 \\\\x = 5[/tex]
Help me PLEASEEEEEEEEEEEEE
Answer:
Step-by-step explanation:
A, D and F
In January I saved £10 then double the amount each month. How much would I save in April?
Answer:
$80Step-by-step explanation:
Jan >> Feb >> Mar >> Apr
x2 x2 x2
$10 >> $20 >> $40 >> $80
the polynomial x^+3x - 1 is a factor of x^3+2x^2-5x-6
Answer:
If its x^2 + 3x - 1 it is not a factor.
Step-by-step explanation:
x^2+3x - 1 is a factor of x^3+2x^2-5x-6?
Try dividing:
x^2+3x - 1 ) x^3 + 2x^2 - 5x - 6( x - 1
x^3 + 3x^2 - x
- x^2 -4x - 6
-x^2 - 3x + 1
- x - 7 <------- remainder.
4 Ten thousand +16 thousand +9 ones write in standard form
Answer:
4 ten thousand=40,0000+16 thousand=16,000+9 ones =9= 40000+16000+9=56,009
Answer:
sorry i did not get i sorryt