Answer:
a) $161.8
b i) Approximately 327.7 hours
ii) The cost of saving is less but the opportunity cost of saving can be higher with regards to technology and regulation
Step-by-step explanation:
The amount Mary would like to save, FV = $10,000
The time Mary over which Mary intends to save the amount, t = 5 years
Therefore, the number of monthly payments, n = 12
a) The amount in interest the bank pays compounding, i = 1.2% per annum
The amount that Mary will deposit each month is given as follows;
The compound interest formula is given as follows;
[tex]PMT = \dfrac{FV}{\left (\dfrac{ \left (1 + \dfrac{i}{12} \right )^n - 1}{ \dfrac{i}{12}} \right)}[/tex]
Where;
PMT = The monthly payment
Therefore, we get;
[tex]PMT = \dfrac{10,000}{\left (\dfrac{ \left (1 + \dfrac{0.012}{12} \right )^{60} - 1}{ \dfrac{0.012}{12}} \right)} \approx 161.8[/tex]
PMT = 10,000/((1 + 0.012/12)^(60) - 1)/(0.012/12)) ≈ 161.8
The amount she needs to deposit monthly, PMT ≈ $161.8
b i) Given that the minimum wage varies and we have a minimum wage here is officially approximately $79, which is 160 hours a month work
The number of hours work needed = 161.8/79 × 160 ≈ 327.7 hours a month approximately
b ii) Given that the interest rate for saving is lower than the interest rate for borrowing, the amount paid by saving is much lesser than the amount paid back when borrowing, therefore, it is more cost effective to save
However, while saving, changes may take place, such as the use of what is being saved for, therefore, it can be more beneficial to borrow and make use of the items now while they are still available and acceptable, such as the drive towards net zero is making fuel based cars less popular with the drive being towards electric cars.
joe rolls a six-sided number cube and flips a coin. What is the probability that he rolls an odd number and flips a head on the coin? Help ASAP please!
A. 1/6
B. 1/4
C. 1/2
D. 2/3
E. 3/2
of the odd number it would be 3/6 in other words 1/2 Step-by-step explanation:
Answer:
c.1/2
Step-by-step explanation:
help me out didifjdhfhfuf
Sam saves $500 at a rate of 4%. What is the total amount of money she has after 20 years?
Answer:
$10,400
Step-by-step explanation:
HEEEEEEEEELP!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Look at the image.
Step-by-step explanation:
(36 ÷ 4) - (36 ÷ 9)
9 - 4
5
(8 × 3) - 12 = 12
24 - 12
12
A jacket with an original price of $98.60 is discounted 65%. What is the
Sale Price?
Answer:
34.51
Step-by-step explanation:
It would be 98.60*65% and then subtract that answer with 98.60.
So, we get 34.51
Answer:
$34.51
Step-by-step explanation:
65% discount means 0.65 off
0.65× 98.60=64.09
Meaning $64.09 off
Sale price= 98.60-64.09
$34.51
x-1=-5-x if you know please
Answer:
X will be -2
Step-by-step explanation:
Divide each side by factors that don't contain the variable
how to solve the median
Answer:
1.) Set the data set in the ascending order
2.) Start cancelling out numbers each side, like if u cancel out the first number, then cancel out the last as well.
3.) Keep doing the step 2 until u reach the middle most number.
4.) Sometimes there are 2 middle numbers left, in that case find their average (add both numbers together and divide the sum by 2) which would be ur middle most number.
Hope this helps!
Help plz..And No links!! I repeat No links!!
Answer:
it is 12 yards .hnuhbuy yg7ygbv bghh
Pete's Plainting charges $25 per room to paint, plus an additional $0.50 per square foot that they paint. If they charges me $201 to paint my kitchen, how many square feet did they paint?
Answer:
352 square feet
Step-by-step explanation:
thats the answer ( i dont know how to explain it sorry )
HELP PLEASE
solve the linear equation for x
-4.8(6.3x-4.18)=-58.56
Answer:
x = 81.6/30.24
Step-by-step explanation:
-4.8(6.3x - 4.18) = -58.56
-30.24x + 23.04 = -58.56
-30.24x = -81.6
x = 81.6/30.24
is a greater than, less than or equal to 43°?
43
Choose 1 answer:
A
> 43°
B
< 43°
2 = 43
Answer:
C ( x = 43 )
PLEASE MARK BRAINLIEST!
Can yall get me the volume calculations for the 3 shapes? Thank you! | Geometry
Figure 1
Name = Coneh = 4 unitsd = 8Since the diameter is 8, this cuts in half to the radius of r = 4. Plug the given values into the cone volume formula below
V = (1/3)*pi*r^2*h
V = (1/3)*pi*(4)^2*4
V = (64/3)pi ..... exact volume in terms of pi
V = (64/3)*3.14
V = 66.98667 .... approximate volume when using pi = 3.14
========================================================
Figure 2
Name = cylinderh = 4d = 8 which cuts in half to r = 4V = volume of cylinder
V = pi*r^2*h
V = pi*4^2*4
V = 64pi ..... exact volume
V = 64*3.14
V = 200.96 .... approximate volume when using pi = 3.14
========================================================
Figure 3
Name = rectangular prismb = 32h* = 12h = 4b and h* are dimensions along the bottom face, aka floor
h is the height or vertical dimension of the 3D room
V = volume of rectangular prism = volume of 3D room
V = length*width*height
V = (b)(h*)(h)
V = (32)(12)(4)
V = 1536 is the exact volume
There is no approximate volume for this figure because the result above is an integer.
========================================================
Combining the figures
Adding up the volumes for figures 1 through 3 gets us
(64/3)pi + 64pi + 1536 = (256/3)pi + 1536
The exact total volume in terms of pi is (256/3)pi + 1536
If we used pi = 3.14, then it leads to
(256/3)pi + 1536 = (256/3)*3.14 + 1536 = 1803.94667
The approximate total volume of all three figures combined is roughly 1803.94667 cubic units
Complete the missing parts of the table for the following function. y=7x
Answers: 49, 1, 49
Those values go in the blanks from left to right
=====================================================
Explanation:
The rule we use is x^(-k) = 1/(x^k)
That means if we're evaluating something like 7^(-1), then it's the same as 1/(7^1) = 1/7 which explains how x = -1 leads to y = 1/7.
Similarly, 7^(-2) = 1/(7^2) = 1/49 is the y value when x = -2. So you'll type 49 into the first box to fill in that missing denominator.
Raising any nonzero value to the zeroth power leads to 1. That rule is x^0 = 1 where x can be anything you want but it can't be zero. Therefore 7^0 = 1 goes in the second box.
Lastly, 7^2 = 7*7 = 49 will go in the third box.
a regular sheet of letter (printing) paper measrues 8.5 inches by 11 inches. you want to cut out squares from each corner that it may be folded up to produce an open - top box. What are the dimensions of the square cut outs that will result in a box of maximum volume
Answer:
The dimensions of the square, that will result in a box of maximum volume is a square with side length of approximately 1.585 inches
Step-by-step explanation:
The given dimension of the steel sheet are;
The width = 8.5 inches
The length = 11 inches
Let 'x' represent the side length of the squares cut out, we have;
The length of the box formed, l = 11 - 2·x
The width of the box formed, w = 8.5 - 2·x
The height of the box, h = x
The volume of the box, V = (11 - 2·x) × (8.5 - 2·x) × (x) = 4·x³ - 39·x² + 93.5·x
The maximum or minimum volume is found from dV/dx = 0 at max. or min.
dV/dx = d(4·x³ - 39·x² + 93.5·x)/dx = 12·x² - 78·x + 93.5 = 0
Which gives;
x = (78 ± √((-78)² - 4×12×93.5))/(2 ×12)
x = 4.915 or 1.585
When x = 4.915, V = 4 × 4.915³ - 39 × 4.915² + 93.5 × 4.915 = -7.65
When x = 1.585, V = 4 × 1.585³ - 39 × 1.585² + 93.5 × 1.585 = 66.15
Therefore, the local maximum occurs at x ≈ 1.585
Therefore, the dimensions of the square, 'x' that will result in a box of maximum volume is x ≈ 1.585 inches.
P- 24/n = 30/100
What’s N?
Z- n/4 = 18/72
What’s N?
Answer:
Z: n = 1 P: n =80
Step-by-step explanation:
cross multiple what you can and divide it by the last number left to find n
Pls help meh!!!!
Which regression line properly describes the data relationship in the scatterplot?
Answer:
1
Step-by-step explanation:
depends if you have a table , to pick the right one always choose a one that pass more through and between the points and the one that is straight
( adding and subtracting unlike fractions in word problems)
a recipe for pie calls for 1/3 cup of black berries and 2/6 cup of raspberries. what is the total amount of berries needed for the recipe?
Answer:
2/3 cup
Step-by-step explanation:
first you need to convert the fractions so that they have the same denominator (1/3 turns into 2/6)
then you just add up the numerators (2+2=4..... 4/6)
you can stop there or you can simplify it (4/6 turns into 2/3)
simplificar la expresion 3 ( - x - 2 ) me dicen cual es ? es para un examen
Answer:
-3x - 6
Step-by-step explanation:
3 × -x = -3x
3 × -2 = -6
-3x - 6 hope this helps
Answer:
Step-by-step explanation:
The circumference of a circle is 23π ft. What is the area, in square feet? Express your answer in terms of \piπ
Answer:
A = 132.25π sq ft
Step-by-step explanation:
C = 2πr
23π = 2πr
r = 23/2 or 11.5
A = πr²
A = 11.5²π
A = 132.25π
Ima mark as brainlist if u help plsss
Answer:
Hence the disagree with Ima. He used the wrong formula to find the total surface area
Step-by-step explanation:
Surface area of the triangular prism = 2B + pH
B is the base area= 1/2 * 13 * 5
B = 65/2
B = 32.5 m^2
p is the base perimter = 5 + 12 + 13
p = 30m
H is the height of the prism = 8m
Substitute
TSA = 2(32.5) + 30(8)
TSA = 65 + 240
TSA = 305m^2
HEnce the total surface area is 305m^2
Hence the disagree with Ima. He used the wrong formula to find the total surface area
a jug contains 2 gallons of water how many quarts of water does the jug contain
Answer:
8 quarts, in 2 gallons
Step-by-step explanation:
The perimeter of a parallelogram is 62cm. what is the length of the longest side if the equation of the sides are:-
*3x+5
*x+2
Given
perimeter is 62
Side 1 - 3x+5
Side 2 - x+2
Solution,
2(3x+5+x+2) = 62
4x+7 = 31
4X = 24
x = 6
Now substitute the value of x to get the sides
Side one - 3x+5 = 23cm
Side two - x+2 = 8cm
Answer- the length of the longest side is 23 cm
Which statement about the cylinder are true? Select two options
Answer:
[tex] \ur \: answer) [/tex]
Step-by-step explanation:
THE RÅDIÜS ØF THE CYLINDER IS[tex] \frac{1}{2} x \: units[/tex]THE HEIGHT OF CYLINDER IS 4X UNITS .
☞ÙR ÃÑSWER HØPE IT HELPS YOU ✌️
Find two consecutive odd numbers such that the difference of their square is 160.
Is 0.35 grater than 300 mL
Answer:
yes
Step-by-step explanation:
yes
I really need help on this! Thank you in advance!!!
On Sarah’s shelf are 6 mystery books, 5 sciences books, 4 history books, and 3 adventure books. Sarah will randomly choose one book to read. What is the probability that she will choose a mystery book?
Answer:
1/3 chance she will chose a Mystery Book.
Step-by-step explanation:
I hope This helps?
Total= 18
mystery=6
6/18= 1/3
Answer:
the answer is 1/3 or 6 out of 18
Chloe is making rice krispie treats with her friends and fills a 5 ¾ inch by 4 inch by 2 ½ inch pan to the very top. What is the volume of the rice krispie treats that the recipe makes?
Answer:
57 1/2 cubic inches
Step-by-step explanation:
Volume of the treat = length * width * height
Give
Length = 5 ¾ inch
width = 4inches
height = 2 ½ inches
Volume = 23/4 * 4 * 5/2
Volume = 23 * 5/2
Volume = 115/2
Volume = 57 1/2 cubic inches
help pls i can give brainliest?
Identify the solution to the system of equations.
Explain how an equation is like a balanced hanger plzzz answer due today
Write the equation of a line that goes through the points (4, 8) and (-8, 2)
show work i will appreciate it