Janice wins the lottery and takes a lump sum payment. She receives $14,298,120. She places
$10,000,000 into a money market account receiving 10% annual interest compounded monthly,
how much will be in the account after 1 year?
Answer:
The total compound interest is $1,047,130.76.
Step-by-step explanation:
The amount of the money received after 1 year is $31384283.7672.
What is the compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
The formula used to find the compound interest = [tex]A=P(1+\frac{r}{100})^{nt}[/tex].
Given that, principal = $10,000,000, rate of interest =10% and time period = 1 year
Here, A=10,000,000(1+10/100)¹²
= 10,000,000(1.1)¹²
= $31384283.7672
Therefore, the amount of the money received after 1 year is $31384283.7672.
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Kylie brought 5 pears to soccer practice to share with her teammates. She cuts each pear into thirds. How many slices of pears does she have to share with her teammates? Which equations can you use to solve the problem? Select two equations.
A. 5 × 3 = 15
B. 1/5 × 1/3= 1 /15
C. 1/5 × 3 = 3/5
D. 5 ÷ 1/3 =15
E. 1/3 ÷ 5 = 1/15
Answer :D
A (or) 5 * 3= 15
Question explanation:
5 pears.
3 pieces
[tex](1 * 3) + (1 * 3) + (1 * 3) + (1 * 3) + (1 * 3)[/tex]
Which is:
[tex](3) * (3) * (3) * (3) * (3)[/tex]
Which, simplified:
[tex]3 * 5[/tex]
Which equals:
[tex]3 * 5 = 15[/tex]
Hope this helps :) - Answered by Lilo
Select the correct answer from each drop-down menu.
Look at the expression below.
Where could parentheses be placed in the expression for it to equal 4?
Where could parentheses be placed in the expression for it to equal 358?
Find the value of the expression 1/2x+3 if x=12
Answer:
The answer is 9.
Step-by-step explanation:
1/2 * 12 = 6
6+3=9
Answer:
9
Step-by-step explanation:
x = 12
1/2 · 12 = 6
6 + 3 = 9
Find the numbers whose difference is five and whose product is 266
Answer: 19 and 14
Step-by-step explanation:
19-14 = 5
19x14 =266
A wire 26 cm long is cut into two pieces. The longer pieces is 2 cm longer the the shorter peice.
Find the length of the shorter peice of wire _________ cm
Answer:
26÷2=13 so if the longer one is 2 cm longer so 13+1 =14. the shorter one is going to be 13-1=12 so 12+14 =26 and the shorter one is 2 cm smaller then the longer one
Find the slope of the line that passes through \left(10,8\right)(10,8) and \left(1,9\right)(1,9).
Slope ==
Answer:
m = -1/9
Step-by-step explanation:
A rectangular parking lot has a length that is 9 yards greater than the width. The area of the parking lot is 360 square yards. Find the length and the width.
Answer: The width is 15 yards and the length is 24 yards
Step-by-step explanation:
Let x represent the width of the parking lot in yards
Let the length of the parking lost be (x + 9) as the length is 9 yards greater than the width
So, area = width * length
i.e. 360 = x(x + 9)
360 = x2 + 9x
x2 + 9x - 360 = 0
x2 + 24x - 15x - 360 = 0
x(x + 24) - 15(x + 24) = 0
(x + 24)(x - 15) = 0
Either x = -24 or, x = 15
But as width can not be negative, so we can not have, x = -24
So, we have, x = 15
Therefore, (x + 9) = (15 + 9) = 24
So, we have the following answers.
Width : 15 yards
Length : 24 yards
The area enclosed by the graphs of y = 1/x, y = 1, and x = 3 is rotated about the line y = -1. Find the volume and show steps.
Answer:
9.852
Step-by-step explanation:
First, Graph all three functions and find where they intersect and the shape that they make through their intersection. Note that since the shape does not touch the y= -1 line, we will use the "washer" method (where the volume equals [tex]\pi\int\limits^a_b {R(x)\x^{2} - r(x)^{2} } \, dx[/tex].
The next step is to find a and b. Since the function that the area is going to be rotated about is a " y =" equations, the boundaries will be the x coordinates where the three functions intersect, b=1 for (1,1) and a=3 for (3,1).
Next we have to find R(x) and r(x). In this case, R(x) is the difference between the function furthest away from the axis of rotation and the function of the axis of rotation (or visa versa depending on which is on top), and r(x) is the difference between the function closest to the axis of rotation and the function of the axis of rotation (or visa versa depending on which is on top.
For this problem R(x) = 1 - (-1) and r(x) = 1/x - (-1) since when you look at the graph, Y = 1 is further from y = -1 than y = 1/x is, and both functions are on top of y = -1.
Finally plug in R(x) and r(x) and solve either using a calculator or through integration. If you solve through integration you should get [tex]\pi (-2ln(3) + \frac{16}{3} )[/tex].
I need step by step written answer for this
Answer:
-1/2
Step-by-step explanation:
2/5 * - 3/7 - 1/14 - 3/7 * 3/5
= - 6/35 - 1/14 - 9/35
= - (6*2)/(35*2) - (1*5)/(15*5) - (9*2)/(35*2)
= - 12/70 - 5/70 - 18/70
= (-12 - 5 - 18)/70
=- 35/70
= - 1/2
Find the absolute maximum and minimum, if either exists, for the function on the indicated interval. f (x) = x^4 + 4x^3 - 10 [-2, 2] [-4, 0] [-2, 1] Find the absolute maximum. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. The absolute maximum, which occurs twice, is at x = and x =. (Use ascending order.) The absolute maximum is at x =. There is no absolute maximum.
Answer:
d/dx x^4 + 4x^3 - 10
4x^3 + 12x^2
4x^3 + 12x^2 = 0
x = 0, -3
plug in x if you want the value
PLEASE HELP ASAP!!!!!
a lower auto insurance deductible usually means a higher __
a.) maintenance cost
b.) max out of pocket
c.) premium
d.) ticket.
The deductible is the amount one pays towards the auto insurance
The complete statement is: a lower auto insurance deductible usually means a higher premium
What is deductible?When an insured loss or disaster happens, the amount one pay towards the loss is referred to as the deductible
As a general rule, the more the deductible, the lower the premium; and vice versa.
This means that: a lower auto insurance deductible usually means a higher premium
Hence, the text that completes the statement is premium
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Vani has a collection of vintage action figures that is worth $140. If the collection
appreciates at a rate of 15% per year, which equation represents the value of the
collection after 2 years?
OV = 140(0.85)
Submit Answer
O V = 140(0.15)
V = 140(1 - 0.15)2
V = 140(1 + 0.15)?
The equation represents the value of the collection after 2 years is V = 140(1 + 0.15)^2.
What equation represents the value of the collection?
When the value of an asset appreciates,it means that the price of the item increases with the passage of time.
The formula for calculating future value with appreciation is:
FV = P (1 + r)^n
FV = Future value P = Present value R = interest rate N = number of yearsV = 140(1 + 0.15)^2.
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Answer:
Step-by-step explanation:
V=140(1+0.15)
2
Luka and Gabby rent a tandem bike for $25/hr.Which value is the dependent variable? Which is the independent variable? Write an equation to represent the relationship between the number of hours, h, and the total cost of c.
c = 25(h)
dependent variable : They must give $25 per hour.
independent variable: time is independent as no specific time given.
total cost = $25 * hours taken
c = 25 * h
c = 25(h)
Answer:
See below ↓
Step-by-step explanation:
Given
rate of renting a tandem bike = $25/hh = number of hoursc = total costSolving
Clearly, as the number of hours does not depend on another variable, h is the independent variableTherefore, c is the dependent variableThe equation is :⇒ c = 25hwhat is the value of x if x over 5=3
Answer:
x = 15
Step-by-step explanation:
the easiest way to do this is 5 times 3 and with that we get 15 :)
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
Step-by-step explanation:
answer: x = 15
explanation in picture
You need to buy insulation to cover the inside of a shipping container. The container is a rectangular prism that is 15 feet long, 8 feet wide, and 7 feet high. How much insulation do you need to buy if you want to insulate all the inside surfaces of the shipping container except the floor?
Answer:
442 ft²
Step-by-step explanation:
The amount of insulation needed is the amount that covers the area of the side walls and the ceiling. The area of the side walls is the product of the perimeter and height. The area of the ceiling is the product of length and width.
__
Lateral area = Ph = 2(L+W)h = 2(15 ft +8 ft)(7 ft) = 322 ft²
Ceiling area = LW = (15 ft)(8 ft) = 120 ft²
__
Insulation needed = lateral area + ceiling area = 322 ft² +120 ft²
Insulation needed = 442 ft²
suppose that a movie rental company supervid charges a $30 subscription fee and $1.5 per movie. lets say that another company megawatch charges $100 subscription fee but only $0.90 per show. what are the cost functions for each company's subscription plan.
Answer:
the first on is y=30+1.5x and megawatch is y=100+0.90x
Step-by-step explanation:
Find the area of the parallelograms below. 21m 33m 21m
Answer:
a. 693²
b. 148.2 yd²
Step-by-step explanation:
The area of a parallelogram is the product of its base length and the height measured perpendicular to that base.
__
a.A = bh = (21 m)(33 m) = 693 m²
__
b.A = bh = (19 yd)(7.8 yd) = 148.2 yd²
If 15 percent of cars are blue and an observer's observation is 80 percent accurate, what is the probability that a car is, in fact, blue when the witness reports it as blue
The probability that a car is blue is the likelihood of the car being blue
The probability that a car is, in fact, blue when the witness reports it as blue is 12%
How to determine the probability?The given parameters are:
P(Blue) = 15%
P(Accurate) = 80%
The probability that a car is blue, and the observation is accurate is calculated as:
P(Blue and Accurate) = P(Blue) * P(Accurate)
This gives
P(Blue and Accurate) = 15% * 80%
Evaluate the product
P(Blue and Accurate) = 12%
Hence, the probability that a car is, in fact, blue when the witness reports it as blue is 12%
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The number of animal in a park increase by 60% every month. By the end on December the number of animals is 2560, how many animals would have been there by the end of November?
Answer:
1,600
Step-by-step explanation:
I did a bit of guessing becuase I don't know the exact way to reverse the formula, but here is what I did!
I guessed around 1,550 at first, but it was too low. I kept increasing the base number until I reached 1,600, and came to the conclusion by doing the equation;
1,600(0.6)=960
Then, since it increases each month by 60% of the previous month's value, you do
1,600+960=2,560
show that the function F(x)=x3 +2x is odd. show all work and explain
a function is odd if f(-x) = - f(x)
f(x) = x³ + 2x
and
f(-x) = (-x)³ + 2 * (-x) = - x³ - 2x = - (x³+2x) = - f(x)
Answer:
Step-by-step explanation:
tlk here
1
6
of the fruits at a warehouse were apples and the remaining fruits were oranges. There were 291 more red apples than green apples and there were 3455 oranges in the warehouse. How many red apples were there?
Answer:
491 red apples
Step-by-step explanation:
1/6 are apples
then 5/6 are oranges
red apples = green apples + 291
there are 3455 oranges
total amount of fruits is :
3455 / (5/6) = (3455 x 6)/5 = 4146
4146 - 3455 = 691 apples ( total )
so red + green = 691
and red - green = 291
add the two equations
red + red + green - green = 691 + 291
2red = 982
red = 982 / 2 = 491 red apples
green = 691 - 491 = 200 green apples
so red is 291 more than green
then red = 491
What is the volume of this right prism?
1200 in³
1800 in³
2040 in³
3600 in³
Right triangular prism. The height of the prism is labeled as 15 in. The base of the prism is a triangle with the base labeled as 30 in., the height labeled as 8 in., and the other 2 sides of the triangle labeled as 17 in.
brainleiest whoever answers
Answer:
1800 in^3
Step-by-step explanation:
Suppose that the volume of a right circular cylinder is 500 A cubic
centimeters and the radius of its base is 5 centimeters. What is the
height of the cylinder?
The height of the right circular cylinder with volume of 500π cubic centimetre and radius of 5 centimetre is 20 cm.
Volume of a cylindervolume = πr²h
where
r = radiush = heightTherefore,
volume = 500π cm³
r = 5 cm
Therefore,
volume of the cylinder = πr²h
500π = 5²πh
500π = 25πh
divide both sides by 25π
500π / 25π = 25πh / 25π
h = 20 cm
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Answer:
A) 20 cm
Step-by-step explanation:
PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
[tex]- 10(2) + y = 4[/tex]
[tex] - 20 + y = 4[/tex]
[tex]y = 24[/tex]
For x=1[tex] - 10( 1) + y = 4[/tex]
[tex] - 10 + y = 4[/tex]
[tex]y = 14[/tex]
For x=0[tex] - 10(0) + y = 4[/tex]
[tex]0 + y = 4[/tex]
[tex]y = 4[/tex]
For x=-1[tex] - 10( - 1) + y = 4[/tex]
[tex]10 + y = 4[/tex]
[tex]y = - 6[/tex]
For x=2[tex] - 10( - 2) + y = 4[/tex]
[tex]20 + y = 4[/tex]
[tex]y = - 16[/tex]
Answer:
-2 = -16
-1 = -6
0 = 4
1 = 6
2 = 16
Step-by-step explanation:
Help help help help help help math
Answer:
55
Step-by-step explanation:
Area=LxW
so, Area=11x5
=55
Answeri think its 55
Step-by-step explanation:
you have to multiply 5x11 and thats 55 which is simple becaused i suck at explaining stuff
Sandra makes and sells bracelets. It costs her $2 to make each bracelet, plus a one-time cost of $15 for supplies. She plans to sell each bracelet for $5. Let x represent the number of bracelets. Which equation can be used to find the number of bracelets she needs to sell to break even?
2 x minus 5 x = 15
2 x + 5 x = 15
2 x + 15 = 5 x
5 x + 15 = 2 x
A point located at (-3, 2) is translated down 4 units. What are the coordinates of the image?
(-3, -2)
(1, 2)
(-3, 6)
(-7, 2)
Answer:
(-3, -2)
Step-by-step explanation:
When a point is translated, the key words are very important to look at.
Up/down means you are translating the y axis.
Left/right means you are translating the x axis.
So using this key, we can solve.
-------------------------------------------------------------------------------------------------------------
A point located at (-3, 2) is translated down 4 units.
Since the point is going down, we will be translating the y axis. 2-4 is -2.
Since the x is staying the same, the x will be -3.
So your translated points are (-3, -2)
-------------------------------------------------------------------------------------------------------------
I hope this helps!
-No one
Gotten two different answers…is it 18 or 55
Answer:
18.2%
Step-by-step explanation:
For this, you want to take the amount of 70 year old men that will die in the next 10 years and divide it by the total amount of men.
The table states "number out of 1,000 men" so this means there are 1000 total men in this study.
So:
182/1000 = 0.182 = 18.2%
If the number of equally likely sample outcomes of a single experiment is 4, what is the total number of elements in the sample space if the experiment has 3 stages?