Mandy has $40 in a savings account. The interest rate is 5%, compounded annually. To the nearest cent, how much will she have in 2 years?
To the nearest cent, the amount she would have in 2 years is $44.10
What is future value of the deposit in savings account?
The future value of the savings account deposit is accumulated balance in the account after 2 years which includes the initial deposit plus interest earned over 2 years
FV=PV*(1+r)^N
FV=accumulated balance after 2 years=unknown
PV=initial deposit=$40
r=interest rate per year=5%
N=number of years that the deposit would last=2
FV=$40*(1+5%)^2
FV=$44.10
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An item is regularly priced at 20$ . Hong bought it at a discount of 65% off the regular price . how much did Hong pay ?
Pls help it’s due soon
Answer: the answer is c!
Step-by-step explanation:
A school field trip cost $1,144 for a class of 22 students. What is the cost for each student?
What is the inverse of RR? Graph the inverse in the window below by dragging the blue points.
The inverse of the given linear function is of:
R^(-1)(x) = (x - 2)/3
The graph is given at the end of the answer.
What is a linear function?A linear function is modeled by the following rule:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, the change in y divided by the change in x.b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.For function R, in blue, we have that when x = 0, y = 2, hence the intercept is of b = 2 and:
R(x) = mx + 2.
When x = 1, y= 5, when x = 2, y = 8, that is, when x changes by 1 y changes by 3, meaning that the slope is of m = 3, and:
R(x) = 3x + 2.
How to find the inverse function?To find the inverse function, we exchange x and y in the original function, then isolate y.
For function R(x), we have that:
y = 3x + 2.
Then the inverse is found as follows:
x = 3y + 2
3y = x - 2
y = (x - 2)/3
R^(-1)(x) = (x - 2)/3
The graph of R(x) in blue and of R^(-1)(x) in blackis given at the end of the answer. Since they are inverses, they are symmetric over the line y = x.
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what Is the expanded notation for 8013
Answer:
8.013 x 10^3
Step-by-step explanation:
A cold drink initially at 35 f warms up to 42 f in min while sitting in a room of temperature 72f. how warm will the drink be if left out for 30 min?
[tex]$$\begin{aligned}&T^{\prime}=-k(T-72) \quad T(0)=35 \text { (given) } \\&\frac{d T}{T-72}=-k d t-\left\{q^n(1)\right. \\&\text { Solphy } k g^n(1) \\&\ln (T-72)=0-k t+1 \\&T-72=e^{-k t+t} \\&T-72=e^{-k t} e^l \\&\text { let } e^r=C \\&T-72=C e^{-k t} \\&T=72+C e^{-k t} \\&T(t)=72+c e^{-k t}(2)\end{aligned}$$[/tex][tex]$T(t)=72+c e$ Now at $t=Q \mathrm{~mm} \quad T=42$ given Now at $t=Q \min T=$$$\begin{aligned}&\text { yed: } 72+4 e^{-k t} \\&35=72+c e^{-k 0} \\&C=-37 \\&\text { at }+=2 \text { min } T=42 \\&\text { a gaim puting in \&qn } \\&42=72-3+e^{-2 k}\end{aligned}$$[/tex][tex]$$\begin{array}{rl}-\frac{30}{37} & =e^{-2 k} \\e^{-2 k} & =\frac{30}{37} \\-2 k & =\ln \left(\frac{30}{37}\right) \\k & =0.1048 \\p 1 h y & m n \\T(t) & =72-37 e^{-0.1048+} \\T(15) & =72-37 e^{-0.1048 \times 15} \\T(15) & =72-37 \times 1 \\T(15) & =64.31 \\& =\end{array}$$[/tex]
What is Fahrenheit?The unit is the degree Fahrenheit, represented by the sign °F. There are various accounts of how he initially defined his scale, but the initial paper suggests that the lower defining point, 0 °F, was established as the freezing temperature of a brine solution made from a combination of water, ice, and ammonium chloride (a salt). The other limit established was his best estimate of the average human body temperature, originally set at 90 °F, then 96 °F (about 2.6 °F less than the modern value due to He did, however, mention a midpoint at 32 °F, which would be the temperature of ice water.
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12-(8+1)^2
explain please
Answer:
steps
12-(8+1)^2
=12-9^2
12-81
=-69
Step-by-step explanation:
4(18g-12)=12(6g-4)+4
Help me solve this please
Answer:
No solution.
Step-by-step explanation:
4(18g - 12) = 12(6g -4) + 4
4(18g) - 4(-12) = 12(6g) - 12(-4) + 4
72g + 48 = 72g + 48 + 4
72g + 48 = 72g + 52
72g -72g + 48 = 72g -72g + 52
48 = 52 This is a false solution so there is no solution. No value for x will make this equation true.
A circle centered at the origin contains the point (4, -3).
Select all points that also lie on the circle.
A. (-3,-4)
B. (0,4)
C. (3,-2)
D. (5,0)
The two points that also lie on the circle are:
A (-3,-4) and D (5,0)
Which points also ie on the circle?We know that a all the points on a circle are equidistant to the center of the circle, and in this case, the center is the origin (0, 0).
We know that the point (4, -3) lies on the circle, so the radius of the circle is:
R = √( (4 - 0)^2 + (-3 - 0)^2) = √25 = 5
So, any point that is at 5 units of the origin will also lie on the circle.
These points are:
A: (-3, -4)
R = √( (-3 - 0)^2 + (-4 - 0)^2) = √25 = 5
And the point D: (5, 0)
R = √( (5 - 0)^2 + (0 - 0)^2) = √25 = 5
So the correct options are A and D.
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Write and solve a word problem that can be modeled by the quotient-84 divided by 3
Answer:
-28
Step-by-step explanation:
-84/3=-28
-28 is the answer to the problem
Find the value of x so that the line through the pair of points has the given slope.
Points: (x,4) and (5,10)
Slope: 3
What does x =?
hte number of left handed people in the world is one-tenth the number of right handed people. the percent of right-handed people
The percentage of right-handed people is 1%.
What do you mean by the term percent?Percent signifies out of one hundred. It is frequently represented by the symbol "%," even when there aren't 100 entries. After that, the figure is scaled so that it can be put in comparison with 100. Additionally, changes in numerical quantities are denoted by percentages.
We have a bowl of fruit, for instance, with three apples and one orange. Three out of four, or 3/4, or 75 out of 100, or 75 percent, are apples.
A ratio can also be expressed as a fraction or decimal in addition to being written as a percentage. There are methods for converting decimals or fractions to percentages.
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Please?? Help Needed
Sooner would be appreciated.
Answer:
2
Step-by-step explanation:
What you do to one side, you must do to the other.
When you add the 2 on one side of the = sign then you have to add the 2 on the other side. when you do that you will get 7 + 2. so the number in the green is 2. hope this helped a little!
Find the value of h.
75 ft
h 75 ft
42 ft
The value of h in the given diagram is 72 ft. The correct option is the third option 72
Calculating the height of a triangleFrom the question, we are to calculate h. h is the height of the triangle
First, we will the determine half the length of the base of the triangle.
Half the length of the base of the triangle = 42 ft/2
Half the length of the base of the triangle = 21 ft
Thus,
By the Pythagorean theorem, we can write that
75² = 21² + h²
5625 = 441 + h²
h² = 5625 - 441
h² = 5184
h = √5184
h = 72 ft
Hence, the value of h in the given diagram is 72 ft. The correct option is the third option 72
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A die is rolled. find the probability of the given event. (a) the number showing is a 3;
The probability that the number showing is a 3 is [tex]\frac{1}{6}[/tex].
What is probability?Probability refers to the possibility of the occurrence of an event.
P(E) = probability of occurrence of an event E = [tex]\frac{Number Of Favourable Outcomes}{Total Number Of Outcomes}[/tex]
Now,
According to question, number of favorable outcomes = 1, i.e., the number 3 shows up on the die
And the total number of outcomes = 6
Hence, The probability that the number showing is a 3 is [tex]\frac{1}{6}[/tex].
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10 to the -21st power
Answer:
1e+21
Step-by-step explanation:
I believe this the answer
When you look at a pencil in water, it looks bent. This illusion is due to refraction, or the bending of light when it moves from one substance to the next.
c. Without measuring, determine how many degrees the path of the light changes after it enters the water. Explain your reasoning.
Answer:
The change in direction or bending of a light wave passing from one transparent medium to another; caused by the change in wave's speed is known as “Refraction”. Pencil appears bent in water because of the refraction of light rays
Step-by-step explanation:
How to work out (-4,-7),(7,5)
Answer: y = 12/11 x + -12/11
Step-by-step explanation:
m = y2 -y1/x2 -x1
x1 = -4
x2 = 7
into m = y2 - y1/x2 -y1
y1 = -7
y2 = 5
m = 12/11
x = -4 into y = mx + b
y = -7
b = - 12/11
y = 12/11x + -12/11 into
y = mx + b :
y + 12/11x + -29/11
What is the absolute value of
x = 8 and x = 18
Answer:
8, 18
Step-by-step explanation:
The absolute value is the distance of the point from 0. In this question, it would be the number itself.
Answer:
The answer would be 8 and 18
Step-by-step explanation:
To solve an equation containing absolute value, isolate the absolute value on one side of the equation. Then set its contents equal to both the positive and negative value of the number on the other side of the equation and solve both equations. Solve | x | + 2 = 5. Isolate the absolute value.
Tom wants to buy 3 3/4 cups of almonds. There are 5/8 of a cup of almonds in each package. How many packages of almonds should Tom buy?
how can you describe the graph of equation ax + by = c
The standard form of a line is simply a special way of writing the equation of a line. You are probably already familiar with the slope-intercept form of a line, y = mx + b. The standard form is just another way to write this equation and is defined as Ax + By = C, where A, B, and C are real numbers, and A and B are both not zero (see note below about other requirements). As you will see in the lesson below, every line can be expressed in this form.
Note that the requirements on A, B, and C vary a bit from textbook to textbook. While they technically can be any real numbers, it is most common to write them as integers and to keep A positive. It is also common to require that A, B, and C share no common factors.
Ax+By=C
THE STANDARD FORM OF A LINE: Ax+By=C
The result is referred to as the standard form of the line: Ax+By=C. We should always be able to convert from one form of an equation to another. For example, if we are given a line in the slope-intercept form, we should be able to express it in the standard form, and vice versa
he standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations
Now ,
A=0
B=0
A and B are not both zero, the graph of Ax + By = C is always a line.
when ,
The graph of Ax + By = C, where A and B are not both zero
A[tex]\neq[/tex]0
B[tex]\neq[/tex]0, is a line.
Divide both sides by B. Because the form Ax + By = C can describe any line,
it is called the standard form of an equation for a line.
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Tom needs to drive a total of 13 miles. So far, he has driven 7.3 miles. How many more miles must Tom drive?
Answer:5.7 more miles that Tom has to drive
Step-by-step explanation: you add a extra zero to the 13 which would look like 13.0 and then put the 7.3 under 13.0 and it would look like this
13.0
7.3 and you subtract like normal
The data set shows the number of actors used in several school plays across Des Moines.
1. Which is greater the mean or median?
2. Would the mean or median be impacted more if we added the number 60 to the data set? Explain your reasoning
The box plot below show the distribution of the average amount of hours athletes were in the weight room per month.
1. Although the schools both have the same IQR, which school will have a greater variability? Explain your reasoning
2.Is the maximum value for school 1 an outlier? Explain your reasoning using the formula
3. A new athlete started attending school 2 and spends so many hours in the weight room that they are considered a outlier how many hours did the student need to spend in the weight room for school 2 to be considered an upper end outlier? Explain your reasoning using the formula.
The comparison of the mean and median of the data set of the dot plot in the first part and the variability and outlier of the dataset in the box and whiskers plot in the second part are;
First part;
1. The median is greater than the mean.
2. Both the mean and median will increase
Second part;
1. School 1 has greater variability
2. The maximum value of school 1 is not an outlier
3. The new athlete needs to spend 21 hours or more
How can the dot and box and whiskers plots be analyzed?First part;
1. The value in the dot plot are;
10, 11, 12, 12, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 19
The number of data points = 36
The mean = The sum of the above data divided by 36
Using an online calculator of data sets, we have;
The mean = 15.194The median = 15.5Therefore;
The median is greater than the mean.2. The addition of 60 to the dataset will increase the number of data points from 36 to 37, thereby changing the median, which is the middle value to the 19th number, which is 16, while the mean value will also increase to 16.405, therefore;
The mean and median will both increaseSecond part;
1. A measure of variability of a box plot is the range, which is the difference between the largest and smallest values.
The range of school 1 is; 16 - 1 = 15
The range of school 2 is; 14 - 1 = 13
Therefore;
School 1 has greater variability.2. The maximum value of school 1 is 16
The inter quartile range of school 1 is; IQR = 10 - 4 = 6
An outlier = Q3 + 1.5 × IQR
The third quartile, Q3, for school 1 = 10Which gives;
An outlier ≥ 10 + 1.5 × 6 = 19
The maximum value for school 1 = 16 < 19, is not an outlier.3. Q3 for school 2 = 12
IQR for school 2 = 12 - 6 = 6
Which gives;
Outlier for school 2 ≥ 12 + 1.5 × 6 = 21
To be considered an upper end outlier in school 2, the student needs to spend 21 hours or more in the weight room.Learn more about dot and box and whiskers plots here:
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ASAP GIVING BRAINLYIEST
Which of the following is true?
|−4| < 3
|−4| < |3|
|−3| < −4
|−3| < |−4|
Step-by-step explanation:
- 4.3 its the same as (-4.3)
5. Molly, Milo and Morgan shared a pan of brownies
1
baked by Mom. Molly ate of the pan of
4
2
brownies, Milo ate
of the pan of brownies and
6
1
-
-
Morgan ate of the brownies. What fraction of
3
the brownies was left over?
Please write your answer in simplest form.
6.
The fraction of the brownies left is 1/12.
We need to find out what fraction of the brownies is left.
Let " r " denote the fraction that is left.
Then we have r + 1/4 + 2/6 + 1/3 = 1
⇒ r + 1/4 + 1/3 + 1/3 = 1 (Writing the fraction 2/6 in the simplest form)
⇒ r + 1/4 + 2/3 = 1
⇒ r + (3 + 8)/12 = 1 (taking LCM of 4, 3 and adding the fractions 1/4 and 2/3)
⇒ r + 11/12 = 1
⇒ r = 1 - 11/12
⇒ r = (12 - 11)/12
⇒ r = 1/12.
Therefore, the fraction of the brownies left is 1/12.
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Disclaimer:
The fractions provided in the question are not clear.
Assuming the following to answer the given question.
Molly ate 1/4 of the brownies,
Milo ate 2/6 of the brownies, and
Morgan ate 1/3 of the brownies.
Using the angle addition postulate, find M
1. M
2.M
3.M
4.M
Look at picture for angle
x/5 - 4 = 1 solve. show work using inverse operations
Answer:
25
Step-by-step explanation:
x/5-4=1
x/5=1+4
x/5=5
x=5×5
x=25
What is the value of f(-7)
Answer:
What's f(x)?
Step-by-step explanation:
I need help with this question
The graphed function is decreasing on this following interval:
(-5, 5).
When a function is decreasing, looking at it's graph?Looking at the graph, we get that a function f(x) is decreasing when it is "moving southeast", that is, to the right and down on the graph, meaning that when x increases, y decreases.
From this problem, there is only one interval, from x = -5 to x = 5, hence the interval is (-5, 5).
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