Alice is opening a savings account which earns 2.2% interest, compounded continuously.
How much will she need to deposit in the account so that she has $6200 after 3 years?Round your answer to the nearest dollar.
Answer:$5804
Step-by-step explanation:
P=6200/e^(0.022)(3)
Answer:
5804 just trust me i got it right
When a circular plate of metal is heated in an oven its radius increases at a rate of 0.01 cm/min. at what rate is the plates areas increasing when the radius is 54 cm?
Answer:
3.3912cm³/minStep-by-step explanation:
Area of the circular plate = πr² where r is the radius of the plate.
dA/dt is the rate at which the plate is increasing
since dA/dr = 2πr and dr/dt = 0.01cm/min
dA/dt = dA/dr * dr/dt
dA/dt = 2πr dr/dt
dA/dt = 2π(54)(0.01)
dA/dt = 2π(0.54)
dA/dt = 3.3912cm³/min
Hence the rate at which the plates area is increasing when the radius is 54cm is 3.3912cm³/min
The area of a square is 81 m ^ 2 what is the perimeter of the square? How do you know?
Answer:
The answer is 36m.
Step-by-step explanation:
So, first of all, you need to remember that the formula for the area of a square is x^2, or one side multiplied by another side. Also recall that in a square all sides are equal. This means that x^2=81. Now, the square root of 81 equals 9 (you should have this memorized by now). So, if each side of the square is 9, and there are 4 sides, the perimeter would be 9*4, which is 36m.
Which one are functions
Answer:
A
Step-by-step explanation:
PLEASE MARK BRAINLIEST IT WILL HELP SM
Answer:
its hard to see but I think all of them except the first and the last ones r
Step-by-step explanation:
an x can't repeat
don’t understand sb help
Answer:
the 3rd one
Step-by-step explanation:
Answer:
It is the second one
Step-by-step explanation:
Given that R= 4x +6y find x when y= 4 and R=11
Answer:
The value of x:
[tex]x=-\frac{13}{4}[/tex]Step-by-step explanation:
Given the equation
[tex]R=4x+6y[/tex]
substituting the values y=4 and R=11
[tex]R=4x+6y[/tex]
[tex]11=4x+6\left(4\right)[/tex]
[tex]11=4x+24[/tex]
[tex]11-24=4x[/tex]
switching the sides
[tex]4x=11-24[/tex]
Subtract the numbers: 11-24=-13
[tex]4x=-13[/tex]
Divide both sides by 4
[tex]\frac{4x}{4}=\frac{-13}{4}[/tex]
[tex]x=-\frac{13}{4}[/tex]
Therefore, the value of x:
[tex]x=-\frac{13}{4}[/tex]James went to the store and bought a pair of shoes on sale for $40.00. This week they were a regular price of $64.50. What was the percent discount that he bought the shoes for?
I need work shown.
Answer:
A. 62%
Step-by-step explanation:
64.50x = 40
x = 0.62015 or 62%
This means 62% of original price is $40, discount is 38%. From your options seem to be asking for percent of original price paid and not discount.
Which polynomial was factored? x2 – 2x – 8 x2 + 2x – 8 x2 – 2x – 4 x2 + 2x – 4
Answer:
x^2+2x-8
Step-by-step explanation:
x^2+2x-8 = (x+4)(x-2)
Answer: A. x^2 -2x -8
Step-by-step explanation:
What is the value of the expression 3/19 divided 7/2
Answer:
Exact Form:
6/133
Decimal Form:
0.04511278
Step-by-step explanation:
Line x has a slope of -1/2. Line y is perpendicular to line x. What is the slope of line y?
Answer:
2
Step-by-step explanation:
perpendicular means the opposite inverse of a slope. So -1/2 will become 2/1 or simply 2.
opposite means the sign will change, negative becomes positive and positive becomes negative.
inverse flip numerator and denominator.
[tex]\huge\boxed{Hi\;there!}[/tex]
★Perpendicular lines have slopes that are opposite reciprocals.
This means we take a number, change its sign, and then, flop it over:
[tex]\displaystyle-\frac{1}{2}[/tex]
[tex]\displaystyle\frac{1}{2}[/tex]
[tex]2[/tex]
[tex]\huge\boxed{\mathfrak{Answer:{\boxed{the\;slope\;of\;line\;y\;is\;2}}}}}[/tex]
[tex]\bold{Hope\;it\;helps!}[/tex]
[tex]\rm{Enjoy\;your\;day![/tex]
[tex]\boxed{AmiableTeen:)}[/tex]
To prepare for a bake-off, Kent used 560 grams of flour each day for 2 weeks. How many kilograms did Kent use in those 2 weeks?
Answer:
7.840
Step-by-step explanation:
560 grams times the number of days
560×14=7840grams
1000grams = 1 kilogram soo
7840g=7.840kg
Order the numbers from least to greatest
Answer:
-5.5, -3.75, 9/4
Step-by-step explanation:
9/4 is 2.25 so this is your answer.
Answer:
-5.5, -3.75, 9/4
Step-by-step explanation:
Which algebraic expression represents “Sarah has fives times as much homework today as yesterday”?
5 + h
5 h
h minus 5
StartFraction h Over 5 EndFraction
Answer:5h
Step-by-step explanation: i just did the quiz
Use the figure to identify the correct rule for the translation. (x, y) Right-arrow (x – 3, y + 4) (x, y) Right-arrow (x + 3, y – 4) (x, y) Right-arrow (x – 4, y + 3) (x, y) Right-arrow (x + 4, y – 3)
Answer:
(x, y) Right-arrow (x – 3, y + 4)
(the top one)
applying the appropriate transactional rule When the coordinates are added to or subtracted from, the values of x and y change.
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
Given four transformations of coordinates (x, y)
Mathematical transformations describe how 2D figures move around a plane or coordinate system.
If the transformation occurs in the x-axis, then the coordinators move left or right.If transformation occurs in the y-axis, then the coordinators move upwards or downwardsthus for (x, y ) => (x - 3), (y + 4)
From the given rule:
x is decreased by 3 and y is increased by 4 or in other words, we can say the graph moves downward by 3 units and to the right by 4 unit
for (x, y ) => (x + 3), (y - 4)
From the given rule:
x is increased by 3 and y is decreased by 4 or in other words, we can say the graph moves upward by 3 units and to the left by 4 units.
for (x, y ) => (x + 4), (y - 3)
From the given rule:
x is increased by 4 and y is decreased by 3 or in other words, we can say the graph moves upward by 4 units and to the left by 3 units.
Therefore, using the correct rule of the transaction The value of x and y will increase or decrease by adding or subtracting from the coordinates.
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simplify this complex fraction 1 2/3 divided by 2 1/9
Answer:
[tex]\frac{5}{3} \times\frac{9}{19}[/tex]
Step-by-step explanation:
In order to simplify this equation you need to convert these whole number fractions into improper fractions and then use KCF. (Keep, Change, Flip)
[tex]1\frac{2}{3} \div2\frac{1}{9}[/tex]
Convert into improper fractions:
[tex]1\frac{2}{3} = 3\times1+2=\frac{5}{3}[/tex]
[tex]2\frac{1}{9} =9\times2+1=\frac{19}{9}[/tex]
(Remember to keep the denominators the same)
[tex]\frac{5}{3} \div\frac{19}{9}[/tex]
Now use KCF
[tex]\frac{5}{3} \div\frac{19}{9} = \frac{5}{3} \times\frac{9}{19}[/tex]
[tex]= \frac{5}{3} \times\frac{9}{19}[/tex]
Hope this helps.
A 115-inch is cut into two pieces. One piece is four times the length of the other. Find the lengths of the two pieces.
Answer:
Shorter piece: 23 inches
Longer piece: 92 inches.
Step-by-step explanation:
Since the longer piece is four times the length of the other, we multiply 23*4 and we get 92 inches.
A can of paint will cover 400 square feet. What is the length of the edge of the largest square that can be painted with this can of paint?
Find the circumference of the circle
Answer:
31.4 cm
Step-by-step explanation:
it says [tex]c =\pi d[/tex]
d stands for the diameter and to find d, just add the radius by itself.
So to find d, you would add 5 + 5 which would be 10 and multiply 3.14 which stands for pi. And the answer you would get is 31.4
Hope this helps and pls mark me brainliest if you can:)
In the library on a university campus, there is a sign in the elevator that indicates a limit of 16 persons. Furthermore, there is a weight limit of 2500 lb. Assume that the average weight of students, faculty, and staff on campus is 151 lb, that the standard deviation is 25 lb, and that the distribution of weights of individuals on campus is approximately normal. If a random sample of 16 persons from the campus is to be taken:
a. What is the expected value of the sample mean of their weights?
b. What is the standard deviation of the sampling distribution of the sample mean weight?
c. What average weights for a sample of 16 people will result in the total weight exceeding the weight limit of 2500 lb?
d. What is the chance that a random sample of 16 persons on the elevator will exceed the weight limit?
Answer:
Explained below.
Step-by-step explanation:
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
a
The expected value of the sample mean of their weights is same as the population mean, μ = 1515 lbs.
b
The standard deviation of the sampling distribution of the sample mean weight is:
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{25}{\sqrt{16}}=6.25[/tex]
c.
The average weights for a sample of 16 people will result in the total weight exceeding the weight limit of 2500 lbs. is:
[tex]\text{Average Weight}=\frac{2500}{16}=156.25[/tex]
d
Compute the probability that a random sample of 16 persons on the elevator will exceed the weight limit as follows:
[tex]P(\bar X > 156.25)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{156.25-151}{6.25})\\\\=P(Z>0.84)\\\\=1-P(Z<0.84)\\\\=1-0.79955\\\\=0.20045\\\\\approx 0.20[/tex]
A cake recipe called for using 6 ¼ cups of sugar before baking and another 5 ¾ cups after baking. What is the total amount of sugar needed in the recipe?
Answer:12 cups of sugar are needed in the recipe
Step-by-step explanation:
6 ¼ + 5 ¾ =11 4/4=12
The total amount of sugar needed for the cake recipe is 12 cups.
Given that, A cake recipe called for using 6¼ cups of sugar before baking and another 5¾ cups after baking.
What is addition of two fractions?To add fractions there are three simple steps:
Step 1: Make sure the bottom numbers (the denominators) are the same. Step 2: Add the top numbers (the numerators), put that answer over the denominator.
Step 3: Simplify the fraction (if possible)
Now, the total amount of sugar needed
6¼ + 5¾
= 25/4 + 23/4
= (25+23)/4
= 48/4
= 12
Hence, the total amount of sugar needed for the cake recipe is 12 cups.
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The number of accidents per week at a hazardous intersection varies with mean 2.2 and standard deviation 1.4. The distribution of this particular variable is very right skewed.(a) Suppose we let (X-bar) be the mean number of accidents per week at the intersection during 9 randomly chosen weeks. What is the probability that (X-bar) is less than 2?(b) Now let X be the mean number of accidents per week at the intersection during a year (52 weeks). What is the probability that X is less than 2?
Answer:
The probability that sample mean is less than 2 is 0.1423.
Step-by-step explanation:
Let X denote the number of accidents per week at a hazardous intersection.
It is provided that the mean and standard deviation of X are, μ = 2.2 and σ = 1.4.
(a)
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
As the sample size is not large enough, i.e. n = 9 < 30, the Central Limit Theorem cannot be applied to approximate the sampling distribution of the mean number of accidents per week at the intersection.
And since the distribution of X is not specified, the probability cannot be computed.
(b)
In this case, the sample size is large enough, i.e. n = 52 > 30, the Central Limit Theorem can be applied to approximate the sampling distribution of the mean number of accidents per week at the intersection.
Compute the probability that sample mean is less than 2 as follows:
[tex]P(\bar X<2)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{2-2.2}{1.4/\sqrt{56}})\\\\=P(Z<-1.07)\\\\=0.14231\\\\\approx 0.1423[/tex]
Thus, the probability that sample mean is less than 2 is 0.1423.
Cooper wrote checks on his checking account for $20 and $35. He also deposited $63 in the account. Which number describes the change in the balance of his account? A.$12 B.$8 C.$15
Answer:
the change is b 8. 63-55=8 35+20=55
12(x-6)and 14(x+14).
plz help
Answer:
138 and 210?
Step-by-step explanation:
vertical asymptote of f(x) = 3x-18 over 2x + 1
Answer:
We know that the formula to get the equation of a rational function is:
y = a * (factors of x intercepts) / (factor of vertical asymptote)
We are given the equation:
y = (3x - 18) / (2x + 1)
from the formula, we know that the value in the denominator is the factor of the vertical asymptote
So, we can write that:
2x + 1 = 0 [where x is the vertical asymptote]
x = -1/2
Therefore, the vertical asymptote of the given equation is -1/2
PLZZZZZZZZZZZZZZZZZZZZZZ HELP!!!
QUESTION: -2(x-6)=8
STUDENT WORK:
-2(x-6)=8
-2x-12=8
-12 -12
-2x+0=-4
-2x=-4
÷2 ÷2
x=-2
1. Explanation of Errors Made
2. Correct Solution (show all work)
Answer:
The error was made in the division step it should have been divided by negative 2
-2(x-6)=8
-2x+12=8
-2x=-4
-x=-2
X=2
Does the graph represent a function? Why or why not?
10-
-10
10
-10-
O A. No, because it fails the vertical line test.
B. No, because it fails the horizontal line test.
O C. Yes, because it passes the vertical line test.
O D. Yes, because it passes the horizontal line test.
Answer:
no because it fails the vertical line test
Three points on the function are (-1, 1) (0,3) and blank
Answer:
well assuming this is a normal function, the next point would be (1,5)
What is the equation of the line that passes through the point (-3. 4) and has a
slope of 1/3?
EXITTICKET:If a car travels 50 m/h , for 5 hours, then how far did the car travel ? (Distance: time. .speed)
Answer:
50×5=250m
Step-by-step explanation:
he traveled 250 m
Answer:
250 miles
Step-by-step explanation:
If a car travels 50 miles per hour then we are given 5 hours as a time, we can multiply the two numbers together to get 250 miles. Let's see what the distance is after every hour:
1 hour: 50 miles
2 hour: 100 miles
3 hours: 150 miles
4 hours: 200 miles
5 hours: 250 miles
It is seen that after 5 hours a car driving 50mph would travel 250 miles!
Hope this helps!!
- Kay
The midpoint of AB is M(6,-3). If the coordinates of A are (4, - 7), what are the
coordinates of B?
Answer:
(8,1)
Step-by-step explanation:
(8,1) you have to add do to the same to B
Pont B is located at coordinates at the line AB (8, 1)
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
Given, The midpoint of AB is M(6,-3). If the coordinates of A are (4, - 7)
From the general formula of midpoints of a line
coordinates of midpoint = ((x₂ + x₁)/2, (y₂ + y₁)/2)
where,
(x₁, y₁) are the coordinates of A
(x₂, y₂) are the coordinates of B
And in our case Coordinates of the midpoint are (6, -3)
Thus,
6 = (4 + x₂)/2
x₂ = 8
-3 = (-7 + y₂)/2
y₂ = 1
therefore, the coordinates of Pont B at line AB are (8, 1)
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