To calculate the future value we need to use the compound formula:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]where P is the principal, r is the interest rate in decimal form, n is the number of times the interest is compound in any given time t.
In this case we have that P=901, r=0.035 and since the interest is compound semiannually this means that n=2. Finally t=6. Plugging this values into the equation above we have that:
[tex]\begin{gathered} A=901(1+\frac{0.035}{2})^{2\cdot6} \\ A=1109.53 \end{gathered}[/tex]Therefore the future value would be $1109.53
answer choices:
6cm by 1.5cm
10cm by 2cm
13cm by 4cm
18cm by 4.5cm
80cm by 20cm
worth 23 points! and i will give brainly , pls hellpppp
Answer:
6cm by 1.5cm
18cm by 4.5cm
80cm by 20cm
Step-by-step explanation:
Find f (0) please help me. I need this turned in by 11:59 tonight
The value of the function f(0) = 1, obtained from the graph.
What is meant by the function?A function is defined as the interaction between a set of inputs that each have one output. A function is a relation between inputs where every input is related to accurately one output. Each function has a domain and a codomain, as well as a range. In general, a function is denoted by f(x), in which x is the input. A function's general representation is y = f. (x). In mathematics, a function is a special relationship between inputs (the domain) and outputs (the codomain), where each input does have exactly one output and the output can be linked directly to its input.For the given question;
The graph for the function is given.
For finding the value of function f(0), simply see the value of y with respect to x = 0.
f(0) = 1, taken from graph.
Thus, the value of function f(0) is found as 1.
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9s-5t=-4u solve for s
Answer: s= -4u/9 + 5t/9
Step-by-step explanation: Hope it helps
Step-by-step explanation:
First of all, we have to take -5t to the other side and after taking it to the other side it will be +5t, then we have to take (only) 9 to the other as it is 9s (multiplication) it will be division if u take it to the other side.
Done
Find the value of x.
Round to the nearest tenth.
28 22 11
Please help!!
Step-by-step explanation:
your teacher gave you the law of sines already.
this was the only "trick" needed to solve this.
now, we just need to use it.
to be considered : a, b, c are always the sides opposite to the angles A, B, C.
so,
sin(28)/11 = sin(x)/22
sin(x) = 22×sin(28)/11 = 2×sin(28) = 0.938943126...
x = 69.87481894...° ≈ 69.9°
Georgina has a total of $5000 invested in a savings account that receives 0.6% APY and a CD that receives 0.9% APY. How much does she have invested in each account if her total annual interest earned is $37.50?
The amount that Georgina has invested in savings account and CD are $ 2500 each.
Given that:-
Total amount invested in savings account and CD = $ 5000.
APY in savings account = 0.6 %
APY in CD = 0.9 %
Total interest earned = $ 37.5
Let the amount invested in savings account be x.
Hence, according to the data given in the question, we can write,
Amount invested in CD = 5000 - x
Interest in savings account in a year = x*(0.6)*1/100 = 0.006x
Interest in CD in a year = (5000-x)*(0.9)*1/100 = (0.009)(5000-x) = 45 - 0.009x
Hence,
0.006x + 45 - 0.009x = 37.5
45 - 37.5 = 0.009x-0.006x
7.5 = 0.003x
x = 7.5/(0.003)
x = 7500/3 = 2500
Hence, Georgina has invested $2500 in each savings account and CD.
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[02.06]
Solve and graph the absolute value inequality: 12x + 4 > 8. (1 point)
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
-9-8-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4
5 6 7 8 9
-9-8-7-6-5-4-3 -2 -1 0 1 2 3 4 5 7 8 g
-9-8-7 -6 -5 -4 -3 -2 -1 0 1
2
3
4
5 6
7
8 9
given that
[tex]|2x+4|>8[/tex]consider the chances,
[tex]2x+4>8[/tex][tex]2x<4[/tex][tex]x<2[/tex][tex]-2x-4<8[/tex][tex]-2x<12[/tex][tex]x>-6[/tex]therefore x lies between -6 and 2
[tex]-6the answer is option 1.give me a multi step equation with an answer of -8
A multi step equation with an answer of -8 can be expressed as: 2x + 20 = 4.
x = -8 when solved.
What is a Multi Step Equation?A multi step equation can be an equation that has variables or/and terms on both sides, of which we can solve for the variable in the equation by isolating the variable to one side of the equation using inverse operations.
For example, a multi step equation can be expressed as 2x + 20 = 4.
Solve for x in the equation:
2x + 20 - 20 = 4 - 20 [subtraction property of equality]
2x = -16
2x/2 = -16/2 [division property of equality]
x = -8
Thus, 2x + 20 = 4 is a multi step equation that has a solution of -8.
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many subjects don’t give honest answers to questions about activities that are illegal or sensitive in some other way. one study divided a large group of white adults into thirds at random. all were asked if they had ever used cocaine. the first group was interviewed by telephone: 21% said "yes." in the group visited at home by an interviewer, 25% said "yes." the final group was interviewed at home but answered the question on an anonymous form that they sealed in an envelope. of this group, 28% said they had used cocaine.
28% is the correct answer because it is the closest to true value sine people are sensitive about information like this.
What is the slope of the line?
⇒The line passes through the points (3,0) and (1,-3) I will use them to find the gradient of the line. Note this information is from the graph.
⇒[tex]m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} } \\m=\frac{-3-0}{1-3} \\m=\frac{3}{-2} \\m=-\frac{3}{2}[/tex]
write 70 1/3% as a fraction in simplest form.
How to get the answer is the main question for me. I got it wrong on the assignment.
The fraction 70 1/3% in simplest form is 24.67%.
Firstly converting mixed fraction to fraction. For conversion to fraction rewriting the fraction -
Fraction = (3×70 + 1)/3%
Then performing the multiplication in numerator of the fraction to find the fraction in simplest form
Fraction = (73 + 1)/3%
Performing addition in numerator of the fraction to find the fraction in simplest form
Fraction = 74/3 %
We have got the improper fraction as numerator is greater than denominator. Now performing division to find the fraction in simplest form
Fraction = 24.67%
Thus, the fraction in simplest form is 24.67%
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Solve the question on the image attached.
Possible answers:
A) 1
B) 3
C) 5
Should be B.
There is a nested function structure. Let's first look at the limit of the interior (f(0)). The point we need to pay attention here is to look at the limits from the right and left. If both values are equal, we can say that it has a limit at that point.
If we express it algebraically;
[tex]lim_{x\to{0^-}}f(x)=lim_{x\to{0^+}}f(x)[/tex] then,[tex]lim_{x\to{0}}f(x)=exist[/tex]The left limit and the right limit of [tex]f(0)[/tex] are equal and equal to [tex]2.[/tex]
[tex]lim_{x\to{0^-}}f(x)=2[/tex][tex]lim_{x\to{0^+}}f(x)=2[/tex]The left limit and the right limit of f(2) are equal and equal to 3.
[tex]lim_{x\to{2^-}}f(x)=3[/tex][tex]lim_{x\to{2^+}}f(x)=3[/tex]As I have drawn with colored arrows in the graph below, we approach from the left and from the right, and if they both point to the same point, we can talk about the existence of the limit at that point. Otherwise, this function does not have a limit at that point.
How can I do point-slope form?through (-5, 3), slope= -8/5
ANSWER
y - 3 = -8/5 (x + 5)
EXPLANATION
The point-slope form of the equation of a line, that has a slope m and passes through point (x1, y1) is:
[tex]y-y_1=m(x-x_1)[/tex]In this problem m = -8/5 and the given point is (-5, 3). The equation is:
[tex]y-3=-\frac{8}{5}(x+5)[/tex]A material’s density is a measure of its mass per unit volume. In other words, D = M
V
. Use
this relationship to calculate the density of a shiny metal object whose mass was 200 g,
and whose volume was measured to equal 10.4 mL. Round answer to 1 d.p.
The density of the material of mass 200 g and volume 10.4 ml is 19.2 g/ml.
According to the question,
We have the following information:
Density is defined as the mass per unit volume.
So, we have the formula of density:
Density = Mass/volume
Mass of the metal object = 200 g
Volume of the metal object = 10.4 ml
Density = 200/10.4 g/ml
Density = 19.231 g/ml
Now, we will round it off to nearest 1 decimal point.
We know that when the digit is greater than 5 then the number is increased by 1 and when the digit is less than 5 then the number remains same.
So, we have:
Density = 19.2 g/ml
Hence, the density of the metal object is 19.2 g/ml.
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2/3 + 1/4 + 1/2 = x/12 , so what is x?
Answer:
Solve for x by simplifying both sides of the equation, then isolating the variable.
x=17
Step-by-step explanation:
Please help
:(
It’s due
Answer: 28
Step-by-step explanation: 28
find the value of x. Show your steps.
Answer:
x=8
Step-by-step explanation:
83+(12x+1)=180
It equal to 180 because the line measures to 180.
Then write out the equation and solve.
A bag contains 8 red marbles, 3 blue marbles, and 1 green marble. Find P(not blue).
a. 9
C.
1
4
b.
413
d.
314
Answer:
3/4
Step-by-step explanation:
Probability
8 red marbles, 3 blue marbles, and 1 green marble = 12 total marbles
8 red marbles+ 1 green marble = 9 not blue marbles
P ( not blue ) = not blue marbles / total marbles
= 9/12 = 3/4
Answer:
9
Step-by-step explanation:
8+3+1=12
12-3=9
umm ok i think i got it wrong or overcomplicated it lol
hope this helped
100x20x10+2=
pls iam doing a test and the calculator is blocked
Answer:
20002
Step-by-step explanation:
100*20=2000
2000*10=20000
20000+2=20002
(24÷ 3) x 4-(30 ÷ 3)
Answer:
22
Step-by-step explanation:
Question
What is the value of m?
0.61m−1.51m=9
The value of m = -10, which we get by solving the given equation
The given equation is
0.61m - 1.51m = 9
⇒-0.9m = 9 (we get the minus sign because 0.61 is smaller than 1.51)
⇒-0.9m/(-0.9) = 9/(-0.9) (dividing both sides of the equation by -0.9)
⇒m = -90/9
⇒m = -10
Thus on solving the given equation we get the value of m as -10
That is m=-10
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What is the slope of the line that passes through the points (-8, -6)(−8,−6) and (-8, 4)(−8,4)? Write your answer in simplest form.
The formula for the area of the shaded region on the diagram is: Area of the circle - Area of the square The area of the circle is 78.1 cm² rounded to 1 decimal place. The area of the square is 21.4 cm² truncated to 1 decimal place. Write the error interval for the area, a, of the shaded region in the form m < a < n
The error interval for the area will be expressed as 64.2< a < 63.93
Error intervals may be defined as the limits of accuracy when a number has been rounded or truncated. They are the range of possible values that a number could have been before it was rounded or truncated. According to the question, Area of circle = 78.1 cm² and Area of square = 21.4 cm². If we round the area to one decimal point, we get the Area of circle = 78.1 + 0.05 and = 78.1 - 0.05 that is 78.15 and 78.05. Also, the Area of square = 21.4 - 0.05 and = 21.4 + 0.05 we get 21.35 and 21.45. Now, Area of shaded region in the form m < a < n. So, n = 78.15 - 21.35
=> n= 56.8 and
m = 78.05 - 21.45
=> m = 56.6
Area of shaded region is 56.6< a < 56.8.
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i have no clue how to do this someone pls help me
Using proportions, it is found that:
a) The graph for the distance-time journey is given at the end of the answer.
b) The average speed for the whole journey was of 25 miles per hour.
What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using basic arithmetic operations such as multiplication or division from the rates of the variables.
Proportions are applied to find the relation between velocity, distance and time, as velocity is distance divided by time, that is:
v = d/t.
Then, applying cross multiplication, the distance is given by:
d = vt.
On the first interval of his trip, for the first 15 minutes = 1/4 of an hour, he traveled at a velocity of 40 mph, hence the distance is:
d = 40 x 1/4 = 10 miles.
During the second interval, of 25 minutes, from 15 minutes to 40 minutes, he stopped, hence his distance remained constant at 10 miles.
During the third interval, of 20 minutes = 1/3 of an hour, Tim completed the journey at a velocity of 45 mph, hence the complete distance is given by:
d = 10 + 45 x 1/3 = 10 + 15 = 25 miles.
The graph with these three intervals is given at the end of the answer.
He drove a distance of 25 miles in one hour, hence his average speed is given as follows:
v = d/t = 25/1 = 25 miles per hour.
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Swimming pool on a certain hot summer day, 606 people used the public swimming pool the daily prices are $1.75 for children and $2.50 for adults the receipts for admission totaled $1357.50. How many children and how many adults swam at the public pool that day
On a hot summer day, 606 people used the public swimming pool; daily admission prices are $1.75 for children and $2.50 for adults; admission receipts totaled $1357.50; 396 adults and 210 children swam at the public pool that day.
What is permutations and combination?A set's subsets can be created in two ways: combination and permutation. When the subset's components are combined, they can be listed in any order.The subset's components are listed in a permutation in a specific order. Permutations include the arrangement of people, digits, numbers, alphabets, letters, and colors. Choosing the menu, cuisine, clothes, subjects, and team are all examples of combinations.When creating permutations, we use the notation nPr, where n represents the number of available options, P represents the permutation, and r represents the number of options you are selecting.To calculate the permutation, use the formula nPr = n! / (n - r)!Therefore,
1.75C + 2.50A = 1357.50
C + A = 606
C = 606-A
1.75(606 - A) + 2.50A = 1357.5
1060.5 - 1.75A + 2.50A = 1357.5
1060.5 + 0.75 A = 1357.5
0.75 A = 297
A = 297/0.75
A = 396
No of adults = 396
Therefore children = 606-396
No of children = 210
396 adults and 210 children swam at the public pool that day
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30 POINTS!! HELP ASAP!
Answer: Hi this would be the arrow that goes to the left and the dot on the right, so something like ← and dot. Hope this helps, I know this is confusing but try your best.
Step-by-step explanation:
Answer:
After solving the inequality, we get:
[tex]x\leq -10[/tex]
With the plotted inequality given.
Step-by-step explanation:
Step 1: Manipulate and solve the inequality
The inequality is given as:
[tex]\frac{1}{2}x+8\leq 3[/tex]
Make [tex]x[/tex] the subject of the inequality to solve it:
[tex]\frac{1}{2}x+8\leq 3\\\\\text{Subtract 8 from both sides of the equation:}\\\frac{1}{2}x+8-8\leq 3-8\\\\\text{Simplify:}\\\frac{1}{2}x\leq -5\\\\\text{Multiply by 2 on both sides of the inequality:}\\2\times \frac{1}{2}x\leq -5\times 2\\\\\text{Simplify:}\\x\leq-10[/tex]
Step 2: Plot the inequality
After solving the inequality, we get:
[tex]x\leq -10[/tex]
Which means that [tex]x[/tex] consists of all values that are equal to and less than [tex]-10[/tex].
On a number line, when the inequality includes the value, it is denoted by a closed circle.
With all this information, let's plot the number line:
er 10 ft long rests against a vertical wall. if the bottom of the ladder slides away from the wall at a rate of 0.5 ft/s, how fast is the angle between the ladder and the ground changing when the bottom of the ladder is 8 ft from the wall?
The angle between the ladder and the ground changes when the bottom of the ladder is 8 ft from the wall is -1/12 radians per second.
Denoting the distance in feet between the wall and the base of the ladder by x and the angle in radians between the ladder and the ground by y, it is noted;
cos(y) = x/10
which implies;
y = arccos(x/10)
Denoting time in seconds by t, it is further noted that;
[tex]\frac{dx}{dy} = \frac{dy}{dx} \frac{dx}{dt}[/tex] (chain rule)
Noting (using a standard table of derivatives for convenience)
[tex]\frac{dy}{dx}= -\frac{1}{\sqrt{1-(0.1x)^2} }(0.1)[/tex] (also by chain rule)
The above equation changes as;
[tex]\frac{dy}{dx}= -\frac{0.1}{\sqrt{1-0.1x^2} }[/tex]
It is noted from the question that in this particular system;
[tex]\frac{dx}{dt} = 0.5[/tex] feet per second
So (denoting the derivative as a function of x)
[tex]\frac{dy}{dt}(x)=\frac{dy}{dx} \frac{dx}{dt} = - \frac{0.05}{\sqrt{1-0.01x^2} }[/tex]
At last;
[tex]\frac{dy}{dt}(8)=\frac{dy}{dx} \frac{dx}{dt} = - \frac{0.05}{\sqrt{1-0.01(64)} }[/tex]
= [tex]\frac{0.05}{\sqrt{1-0.64} }[/tex]
= [tex]\frac{-0.05}{\sqrt{0.36} }[/tex]
= -5/60
= -1/12 radians per second
The angle between the ladder and the ground changes when the bottom of the ladder is 8 ft from the wall is -1/12 radians per second.
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10. Find the zero of the function
Hint: put the equation into
standard form and then solve for x.
below(x-intercept).
f(x) = x - 8
A zero function is a constant function for which, regardless of the inputs, the output value is always zero.A zero function's input can be any real number, but its output is always zero, hence it can take any value from the real numbers
Solve the problem ?
A function that is almost entirely 0 is referred to as a zero function.The constant function with constant coefficients is also referred to as "the zero function." In general, finding the zeros of the function f(x) involves setting the function to zero.The zeroes of the function are the values of x that correspond to the set equation.Find the values of x where f(x) = 0 to determine a function's zeros. Any substitution for the variable in a function that results in a zero answer is known as the zero.The x-intercept(s) of the function's graph, or the actual zero of a function, is the location on a graph where the function's graph crosses the x-axis.The function f (x) = x - 8 has zeros.
To make f (x) = x - 8 = 0, find x.
Start by factoring f (x),
then f(x) =(x-8)=0
f (8 ) = 0
x = 8
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write an equation for the line parallel to y 3x - 8 through the point (-2,-7)
Answer:
y = 3x - 1
Step-by-step explanation:
In order for lines to be parallel, they must have the same slope.
The slope of y = 3x - 8 is 3.
Now, we can solve it using point-slope form. Remember that m = 3, x₁ = -2 and y₁ = -7:
y − y₁ = m(x − x₁)
y - (-7) = 3(x - (-2))
y + 7 = 3(x + 2)
Distribute 3 and isolate y:
y + 7 = 3x + 6
y = 3x - 1
A shipping company packs boxes at the rate shown in the graph below.
14. Based on the data shown in the graph, how many boxes can the shipping company pack in an 18-hour period?
*
0/1
110
A unit rate means a rate for one of something.
The number of boxes packed in 18 hours is 216 boxes.
What is a unit rate?A unit rate means a rate for one of something.
We write this as a ratio with a denominator of one.
We have,
From the graph, we see that,
In 5 hours, there are 60 boxes packed.
This can be written as:
5 hours = 60 boxes
Similarly,
1 hour = 12 boxes
3 hours = 36 boxes
The number of boxes packed in 18 hours:
1 hour = 12 boxes
Multiply both sides by 18.
18 hours = 18 x 12 boxes
18 hours = 216 boxes
Thus,
The number of boxes packed in 18 hours is 216 boxes.
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Please Help, Urgent and in detail
z = [tex]\frac{13}{20}+\frac{19}{20}i[/tex] is in the form z = a+ ib, where a = 13/20 and b = 19/20
Exact value of |z| = 1.151
Argument of z = 55.6197
Consider the complex number z = (2+7i)/(6+2i)
6a. Here z is in a rational form and we need to simplify it to represent it in the form a+ ib.
Multiplying and dividing the conjugate of the denominator to z, we get,
z = [tex]\frac{2+7i}{6+2i} \times \frac{6-2i}{6-2i}[/tex]
⇒ z = [tex]\frac{12 +38i +14}{6^2+2^2}[/tex]
⇒ z = [tex]\frac{26+38i}{40}[/tex]
⇒ z = [tex]\frac{13}{20}+\frac{19}{20}i[/tex]
is in the form z = a+ ib, where a = 13/20 and b = 19/20
6b.modulus of z = |z| = √(a²+b²)
= [tex]\sqrt{\frac{13^2}{20^2} +\frac{19^2}{20^2} }[/tex]
= [tex]\sqrt{\frac{530}{400}}[/tex]
= √(53/40)
= 1.151
6c. Argument of z = tan⁻¹(b/a)
= tan⁻¹((19/20)/(13/20))
= tan⁻¹(19/13)
= 55.6197
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