After 20 years, the amount of Money Amelia would have more than Melanie would be $181,551.37.
What is the future value of Melanie's account?The formula for calculating future value:
FV = P (1 + r) nm
FV = Future value P = Present value R = interest rate = 4 1/2 ÷ 4 = 1.125%m = number of compounding = 4N = number of years9800(1 + 0.0125)^80 = 23,983.29
What is the future value of the amount in Amelia's account?the formula for calculating future value when there is continuous compounding is : A x e^r x N
Where:
A= amount e = 2.7182818 N = number of years r = interest rate9800 e^0.0475 x 20 = 205,534.66
Difference = 205,534.66 - 23,983.29 = $181,551.37
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Question 12 Multiple Choice Worth 1 points)
(05.01)
Choose the equation below that represents the line passing through the point (2, -4) with a slope of
rezi
Answer:
y - 3x = -10
Step-by-step explanation:
Complete question
Choose the equation below that represents the line passing through the point (2, -4) with a slope of 3
The standard equation of a line in point-slope form is y-y0 = m(x-x0)
Given
x0 = 2
y0 = -4
alope m = 3
Substitute
y - (-4) = 3(x - 2)
y + 4 = 3(x - 2)
y + 4 = 3x - 6
y - 3x = -6 - 4
y - 3x = -10
Hence the required equation is y - 3x = -10
Scott wants to ride his all terrain vehicle on a trail that is 30 miles long. If Scott rides at a constant rate of 15 mph, how long will it take him to ride the whole trail?
A. 2 hr.
B. 3 hr.
C. 5 hr.
D. 8 hr.
Answer:
3hr
Step-by-step explanation:
Answer:
2 hrs.
Step-by-step explanation:
30 miles of 15 mph.
(of means divided)
30 divided by 15 = 2 (hrs)
Give three real-world examples of rectangular prisms. Then give two real-world examples of triangular prisms. Explain how you know the object you chose represents a prism.
Three real world examples of rectangular prisms include juice boxes, cereal boxes, and even cargo containers. Two real world examples of triangular prisms include camping tents and triangular roofs. I chose these objects to represent triangular and rectangular prisms because triangular prisms have two triangular faces and three rectangular faces and rectangular prisms have six rectangular faces.
Sample Response: Boxes, ice cubes, and brick are examples of rectangular prisms. Ramps and tents are examples of triangular prisms. A rectangular prism has six rectangular faces. A triangular prism has two triangular faces and three rectangular faces.
Sample Response Boxes, ice cubes, and bricks are examples of rectangular prisms. Ramps and tents are examples of triangular prisms.
Three real-world examples of rectangular prisms include juice boxes, cereal boxes, and even cargo containers.
Two real-world examples of triangular prisms include camping tents and triangular roofs.
I chose these objects to represent triangular and rectangular prisms because triangular prisms have two triangular faces and three rectangular faces and rectangular prisms have six rectangular faces.
What is a rectangular prism?
A rectangular prism has six rectangular faces. A triangular prism has two triangular faces and three rectangular faces.
Sample Response Boxes, ice cubes, and bricks are examples of rectangular prisms.
Ramps and tents are examples of triangular prisms.
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ahhh helppp i’m almost done with this
Answer:41 m
Step-by-step explanation:
Lets use the Pythagoras thermos to solve
40^2+9^2=c^2
1600+81=c^2
1681=c^2
41=c
The value of the hypotenuse is 41
I see you already attempted this question and got it right, Good job!
Answer:
41
Step-by-step explanation:
Use the Pythagorean theorem to sovle this problem. The Pythagorean theorem states the following,
[tex]a^2 + b^2 = c^2[/tex]
Where (a) and (b) are the legs or the sides adjacent to the right angle, and (c) is the hypotenuse or the side opposite the right angle.
Substitute in the given values and solve for the unknown,
[tex](9)^2 + (40)^2 = c^2\\\\81 + 1600 = c^2\\\\1681 = c^2\\\\41 = c[/tex]
50 points) please help! no links, brainliest, extra points.
I understand if you need points, you can go to my old questions and answer them for points, please only answer if your 100% sure you're correct. I've redone this over 20 times, asked over 50, and failed all those times. thank uu.
Consider the two box plots below.
Which of the following statements is true?
A.
The median of box plot A is greater than the median of box plot B.
B.
The interquartile range of box plot A is greater than the interquartile range of box plot B.
C.
Both the box plots A and B have the same median.
D.
The median of box plot B is greater than the median of box plot A.
Answer:
D
Step-by-step explanation:
The answer gonna be D because the median of plot B is about 27 but in A it is 19
Answer:
D
Step-by-step explanation:
Helpp I’m begging ty
Answer:
40
Step-by-step explanation:
i asked siri
Which of the following is an equivalent expression to x2 + 6x +11?
Answer:
Step-by-step explanation:
(x + 3)^2 + 2
= [tex]x^2+6x+9+2 = x^2+6x+11[/tex]
solve y=f(x) for x then find the input when the output is 6
f(x)= 6x^2
x = 1
So to figure this out we can readjust the equation to make it easier to solve
[tex]f(x) = 6x^2[/tex] is equal to [tex]6x^2 = 6[/tex]
From here we can simplify to get our answer!
[tex](6 / 6)x^2 = (6 / 6)\\x^2 = 1\\x = \sqrt{1}\\x = 1[/tex]
20 POINTS!! PLEASE HELP! WILL GIVE BRAINLIEST!!
Answer:
d i think
Step-by-step explanation:
What type of dilation occurs with a scale factor of 3/2?
Answer:
A figure is reflected in two intersecting lines that form an angle of 40°
NO LINKS PLEASE
What is the missing number
Answer:
1
Step-by-step explanation:
To find this, you simply need input points.
The given equation is y=-2/3x +{}. You can plug in the given point, (0,1). This would make the equation 1 = -2/3·0 +{}. To solve this, you simplify the equation. You then get 1 = {}. Hence, The missing number is 1.
Janelle is viewing an image of a sculpture. She enlarges it using a scale of 0.2 cm to 1/8 ft. How many centimeters in the image are used to show 1 foot of the sculpture?
Answer:
Step-by-step explanation:
Janelle is viewing an image of a sculpture. She enlarges it using a scale of 0.2 cm to 1/8 ft.
To Find :
How many centimetres in the image are used to show 1 foot of the sculpture.
Solution :
Ratio of enlargement is :
Let, enlarged size of 1 foot required x cm of image.
Therefore, 1.6 cm of image is required.
Hence, this is the required solution.
what type of triangle is this
Answer:
acute scalene triangles
Step-by-step explanation:
3. Which reason can be used to conclude that DFGH is a parallelogram?
a) There are two pairs of congruent opposite angles.
D
b) The diagonals bisect each other.
c) There are two pairs of congruent opposite sides.
d) There are two pairs of opposite parallel sides.
Answer:
D) There are two pairs of opposite parallel sides.
Step-by-step explanation:
A parallelogram is a four-sided plane rectilinear figure with opposite sides that are parallel.
what is:
k/5 + 2.5 = .5?
Answer:
k = -10
Step-by-step explanation:
k/5 + 2.5 = 0.5
k/5 = -2
k = -10
Write an expression for the following. "The sum of a number and 12 times 4
Answer:
4(x + 12)
Step-by-step explanation:
The sum of a number and 12 indicates addition. Then, it says that this sum will be multiplied by 4. So, we can use x to represent this random number.
If P = (3, 1) and Q = (-3, -7), find The distance PO
Answer:
10 units
Step-by-step explanation:
Given data
P = (3, 1) and Q = (-3, -7)
x1=3
y1=1
x2= -3
y2= -7
The expression for the distance between two coordinate is
d=√((x_2-x_1)²+(y_2-y_1)²)
Substitute
d=√((-3-3)²+(-7-1)²)
d=√((-6)²+(-8)²)
d=√36+64
d=√100
d=10 units
Hence the distance is 10 units
Antibiotics in Infancy
Exercise 2.19 describes a Canadian longitudinal study that examines whether giving antibiotics in infancy increases the likelihood that the child will be overweight later in life. The study included 616 children and found that 438 of the children had received antibiotics during the first year of life. Test to see if this provides evidence that more than 70% of Canadian children receive antibiotics during the first year of life.
(a) State the null and alternative hypotheses
(b) Calculate the z-statistic.
(c) Find the p-value.
(d) Make a generic conclusion about the null hypothesis, using α = 0.05
(e) Make a conclusion in context.
Answer:
e)The information from the sample does not give enough information to support that more than 70% of Canadian children receive antibiotics during the first year of life
Step-by-step explanation:
The proportion we will use for the test is p = 70 %
From a random sample we got
n = 616
x = 438 then p₁ = 438/616 p₁ = 0,71 p₁ = 71 %
Then q₁ = 1 - p₁ q₁ = 1 - 0,71 q₁ = 0,29 q₁ = 29 %
a) Hypothesis test:
Null hypothesis H₀ p₁ = p
Alternative hypothesis Hₐ p₁ > p >70 %
CI = 95 % significance level α = 5 % α = 0,05
z(c) for α = 0,05 from z-table is z(c) = 1,64
b) To calculate z(s) = ( p₁ - p ) / √ p₁*q₁ / n
z(s) = ( 0,71 - 0,70 )/ √ 0,71*0,29/616
z(s) = 0,01 /0,01828
z(s) = 0,547 ≈ 0,55
c) p-value for z(s) is from z-table p-value ≈ 0,7088
d) p-value > 0,05 then we accept H₀ we don´t have enough evidence to reject H₀
e)The information from the sample does not give enough information to support that more than 70% of Canadian children receive antibiotics during the first year of life
I like healthy foods that have a high percentage of my daily vitamins. I bought a bag of apples. There are still six apples left That's 75% of the apples. How many apples did I have to begin with?
Answer:
8 apples to begin with.
Step-by-step explanation:
First, we know that 75% is 3/4 of 100%
If 3/4 = 6 apples then we need to divide each side by three to get 1/4.
So 1/4 = 2
Now, we multiply each side by 4 to get 4/4
So 4/4(100%) = 8
8 apples is the answer
Is 118.5 bigger than 79?
Answer:
yes
Step-by-step explanation:
podstaw graniastosupa prostego jest rownoleglowbok ktorego boki maja dlugosci 4cm i 6 cm a miara jednego z katow wynosi 30 stopni oblicz objetosc tego graniostoslupa przy zalozeniu ze jego pole powierzchni cakowitej jest rowne 72 cm kwadratowe
Answer:
which language is it
Step-by-step explanation:
can you please put it in English
Pleasssssssssssssssssssssssse help ASAP
Answer:
Yellow = 18 spools of ribbon
Blue = 15 spools of ribbon
Bobby will have 3 more spools of yellow ribbon.
A bag of skittles contains 18 yellow, 12 green, 20 red, 10 orange, and 14 purple
skittles. If one skittle is drawn at random, what is the
P( purple | color name with six letters )
===========================================================
Explanation:
The vertical bar is a shorthand way of saying "Given".
Writing P(A | B) means "probability of A given B"
In this case, we are given that "color name with six letters", so we are 100% certain that whatever was picked has six letters in the color name. That rules out green (5 letters) and red (3 letters). We'll ignore these colors entirely.
Instead we focus on yellow, orange, and purple.
Add up the frequencies for these colors to get: 18 yellow + 10 orange + 14 purple = 42 total
Of that total, there are 14 purple, so....
14/42 = (1*14)/(3*14) = 1/3
represents the probability we're after.
There's a 1 in 3 chance of getting a purple skittle if we are told, or we know 100%, that whatever color we picked has 6 letters in the name.
Side note: 1/3 = 0.333 = 33.3% approximately.
The negative integers greater than or equal to -12
Find the value of x to the nearest tenth.
7.8
4.7
8.4
5.2
“No scam Links, if you send me a link K¡ll Y0URSELF PLS”
Answer:
this isn't an answer but i have to say that 'm laughing at the fact that your telling someone to kts
Step-by-step explanation:
find the accumulated value when $1000.00 is invested for 5 years at 6% annual interest rate compounded quarterly
Answer:
The amount is $1346.86 and the interest is $346.86.
Step-by-step explanation:
To start, use the formula A = P(1+[tex]\frac{r}{n}[/tex])ⁿ°ᵇ [In this case b = time in years]
So, P = $1000, r = 6$, n = 4 and B = 5 years
After plugging it in you get,
A = 1000(1+[tex]\frac{.06}{4}[/tex])⁴°⁵
A = 1000 x 1.015^20
A = 1000 x 1.346855
A = 1346.86
To find the interest, use the formula A= P + I; Since A = 1346.86 and P = 1000 you get:
1346.86 = 1000 + I
I = 1346.86 - 1000
I = 346.86
Then you're finished! Hope this helped!
Brainliest would be appreciated! :)
add 2 please add
[tex]2 \frac{3}{4} + 5 \frac{4}{5} = [/tex]
Answer:
Step-by-step explanation:
19/4 + 29/5
2.75 + 5.8
= 8.55
Pre-Test
Active
1
2
3
4
10
The quotient of (x4 + 5x - 3x – 15) and a polynomial is (x3 - 3). What is the polynomial?
x? + 5x6 - 6x4 - 30x3 + 9x + 45
x-5
x + 5
x7 + 5x + 6x4 + 30x3 + 9x + 45
Answer:
x5
Step-by-step explanation:
Answer: C.
Step-by-step explanation:
EDGE 2023
If a rectangle has an area of 48 cm², what would be the area of a similar rectangle if
the dimensions are doubled?
A) 2304 cm^2
B) 192 cm^2
C)96 cm^2
D)216 cm^2
Find the surface area of the pyramid. The triangular base has a height of 8 units and a base of 12 units. What is the base area? What is the lateral area? What is the surface area?
Answer:
Base area is 48 lateral is 221.6 and surface area is 269.6
Step-by-step explanation:
Answer:
Base area is 48 lateral is 221.6 and surface area is 269.6
Step-by-step explanation: