If he starts paying after four years, the worth of the loans by then is b. $31,616.16
What is a Loan?This refers to the amount collected from a lender to be repaid after a given time, usually with added interest.
Hence, we can see that:
The effective monthly interest rate is:
i = 0.053/12 = 0.0044
The effective annual interest rate is:
i = (1 + 0.0044)^12 -1 = 0.0543
The present worth of all the loans is:
P = 6125 + 6125 (1 + 0.0543)^-1 + 6125 (1 + 0.0543)^-2 + 6125(1 + 0.0543)^-3
P = $22,671.40
If he pays them prompty, then the total lifetime cost would be
P = 22671.40 (1 + 0.0543)^4 = $31,616.16
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43 points helppppppppppppppp
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Refer to the attachment ~
Length and width of the rectangle measure :
[tex]\qquad \sf \dashrightarrow \:5 - ( - 4) = 9 \: units[/tex]
and
[tex]\qquad \sf \dashrightarrow \:0 - ( - 5) = 5 \: units[/tex]
Let's find the Perimeter ~
[tex]\qquad \sf \dashrightarrow \:2(9 + 5)[/tex]
[tex]\qquad \sf \dashrightarrow \:2(14)[/tex]
[tex]\qquad \sf \dashrightarrow \:28 \: units[/tex]
Now, find the Area of rectangle :
[tex]\qquad \sf \dashrightarrow \:9 \times 5[/tex]
[tex]\qquad \sf \dashrightarrow \:45 \:unit {}^{2} [/tex]
Answer:
Perimeter = 28 unitsArea = 45 square unitsStep-by-step explanation:
Finding Perimeter
2(Length + Width)2(9 + 5)2(14)28 unitsFinding Area
Length x Width9 x 545 square unitsSolve for X and Y in the triangle shown below. Use the special right triangle rule to give exact answers.
Answer:
[tex]x = 13 \\ y = 13 \sqrt{2} [/tex]
Step-by-step explanation:
[tex] \cos(45) = \frac{13}{y} = \frac{ \sqrt{2} }{2} \\ y = \frac{26}{ \sqrt{2} } = 13 \sqrt{2} \\ x = 13 \\ because \: angles \: are \: equally \: 45[/tex]
Use the drawing tool(s) to form the correct answer on the provided grid.
A team of painters is working on the exterior of a building. One of the painters sets a ladder on the ground 5 feet from the base of the building
and leans it up to touch the wall. Using an angle measurement tool, he finds that the angle the ladder makes with the ground is 73.61 degrees.
Use the grid provided to draw a scale representation of the ladder against the wall, rounding calculations to the nearest foot. Each unit on the
grid represents one foot. i’m
The Length of ladder is 17.73 feet.
What is angle of elevation?The angle formed by the line of sight and the horizontal plane for an object above the horizontal.
distance of the foot of the ladder = 5 feet
Using trigonometry,
cos [tex]\theta\\[/tex] = B/H
cos 73.61= 5/H
0.282 = 5/H
H = 5/0.282
H = 17.73 feet
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How to find the surface area of a rectangular prism
Answer:
A=2(wl+hl+hw)
Step-by-step explanation:
To find the surface area of a rectangular prism, measure the length, width, and height of the prism. Find the area of the top and bottom faces by multiplying the length and width of the prism. Then, calculate the area of the left and right faces by multiplying the width and height.
A group of 3 people are sharing chocolates. Each person wants 8 chocolates and each box has 6 chocolates. How many boxes do they need?
Answer:
Step-by-step explanation:
4 boxes should do
√14y²-20y+48+√14y²-20y-15=9
√14y²-20y+48-√14y²-20y-15=....?
Answer:
=−40y+33
Step-by-step explanation:
√14y2−20y+48−√14y2−20y−15
Simplifies to:
−40y+33
=−40y+33
divide £36 in the ratio 5:1
Answer:
30 : 6Step-by-step explanation:
divide £36 in the ratio 5:1
36 : (5 + 1) =
36 : 6 =
6 (unit)
6 * 5 = 30
6 * 1 = 6
30 : 6
7=a-5 what does a equal
[tex]\rule{300}{1}\\\dashrightarrow\large\textsf{\textbf{\underline{Given question:-}}}}[/tex]
7=a-5. What does a equal?
[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
When solving an equation, it's always a great idea to make sure all variables are on the left side of the equation and the numbers are on the right.
Since in our equation, we have numbers on both sides, we need to move all numbers to one side:-
7=a-5
This is the same as
a-5=7
Now, add 5 on both sides:-
a=12
So we conclude that a=12.
Good luck with your studies.[tex]\rule{300}{1}[/tex]
Determine the equation of the circle graphed below.
The standard equation of the circle in the graph is (x - 2)² + (y - 5)² = 16
How to determine the standard equation?From the graph, we have the following parameters:
Center (a,b) = (2,5)Radius, r = 4The equation of the circle is then calculated using:
(x - a)² + (y - b)² = r²
So, we have:
(x - 2)² + (y - 5)² = 4²
Evaluate
(x - 2)² + (y - 5)² = 16
Hence, the standard equation of the circle in the graph is (x - 2)² + (y - 5)² = 16
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i need help pls asap
A rental car company charges $34.35 per day to rent a car and $0.09 for
every mile driven. Enola wants to rent a
car, knowing that:
•
She plans to drive 425 miles.
She has at most $210 to spend.
Use the drop-down menu below to write an inequality representing d, the
total number of days Enola can rent the car while staying within her budget.
d
A choir director collected data about the number of members in the choir for the last 20 years. The mean number of choir members is 52.68 with a standard deviation of 2.35. This year. The choir has 46 members. The choir director wants to find and interpret the z-score for 46 choir members.
Complete the statements about the z-score and its interpretation.
The z-score for 46 choir members is about , which means that the number of choir members this year is standard deviations the mean number of choir members. Therefore, there are choir members this year than the average.
Answer:
members is about
✔ –2.843
, which means that the number of choir members this year is
✔ 2.843
standard deviations
✔ below
the mean number of choir members. Therefore, there are
✔ fewer
choir members this year than
Step-by-step explanation:
Answer:
The z-score for 46 choir members is about
✔ –2.843
, which means that the number of choir members this year is
✔ 2.843
standard deviations
✔ below
the mean number of choir members. Therefore, there are
✔ fewer
choir members this year than the average.
Step-by-step explanation:
edge 2023
does someone mind helping me with this question? Thank you!
Answer:
114 sq ft
Step-by-step explanation:
Find out the area of the end triangle;
2x3=6
6x0.5 (1/2) = 12
Find the perimeter of the end triangle;
3+3+3=9
Find the area of the rectangle;
9x10=90
Find the total surface area;
2x12=24
24+90=114 sq ft
Answer:
3
Step-by-step explanation:
the surface area is the base
you will know what the base is based on the name
since it's a triangular prism, the base is a triangle
the triangle in the picture is 2 in hight and and 3 on the ground
2 x 3/2
6/2
3
What is the approximate circumference of the circle that has a center at (2, 1) and passes through the point (7, 1)? A 10 units B. 16 units С 31 units D 79 units
Answer:
C. 31 units
Step-by-step explanation:
Circumference of a circle is the distance around the circle and is given by C = pi•d
Your circle with a point and center given has a radius of 5 because from (2,1) to (7,1) is 5 units. Radius 5 means the diameter is 10.
C = pi•10
= 3.14•10
= 31.4 using 3.14 as an approximation for pi.
Circumference is approximately 31 units.
Which lines are perpendicular to 3x – y = 10? Select all that apply. A. y = 3x + 5 B. y = –13x + 17 C. x + 3y = 27 D. y – 2 = 13(3x + 36)
The equation of the line which is perpendicular to 3x - y = 10 is y = -(1/3) x + c. Then the correct option is B.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The line that is perpendicular to 3x - y = 10.
The equation can be written as
y = 3x - 10
Then the slope of the line will be
m₁ = 3
Let m₂ be the slope of the second line.
The product of the slope of the perpendicular lines is a negative one.
m₁m₂ = -1
3m₂ = -1
m₂ = -1/3
Then the equation of the perpendicular line will be
y = - (1/3)x + c
3y = -x + c
x + 3y = c
where c is the constant.
Thus, the correct option is B.
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Fill in the table using this function rule.
y=2 + 5x
X
у
3
0
4.
5
10
[tex]\Huge{\mathcal{\color{black}{Hey \: there!}}}[/tex]
[tex] \large\underline{ \boxed{ \sf{✰Important\: points }}}[/tex]
A relation in which each element of the domain is associated with exactly one element of the codomain.function rule is also known as chain rule (A formula for computing the derivative of the functional composition of two or more functions.)through this we can easily value of another variable by computing value of one variable
[tex]\rule{70mm}{2.9pt}[/tex]
[tex] \underline{ \boxed{ \sf{✰Given\: function }}}[/tex]
⇒y=2+5x
★ if x=3 then y =17
y= 2+5(3)y= 2+15y=17★ if x=4 then y= 22
y=2+5(4)y=2+20y=22★ if x=5 then y=27
y=2+5(5)y=2+25y=27★ if x=10 then y=52
y=2+5(10)y=2+50y=52[tex]\rule{70mm}{2.9pt}[/tex]
Hope it helps!
Which is the better deal?
A. 8 ounce jar of sauce for $1.20
B. 12 ounce jar of sauce for $1.44
C. 16 ounce jar of sauce for $2.40
D. 4 ounce jar of sauce for $0.64
Select the correct answer.
Howard's bank gave him a personal loan because they found him creditworthy. Which type of loan did Howard get?
Х
A.
a secured loan
B.
an unsecured loan
OC
a variable-rate loan
Next
The correct answer is "Secured Loan." Hope this helps! <3
Which Kind of Triangle is Shown?
Which of the following is an example of a rational function?
f(x) = 270(1.01)x
g of x equals the quantity x squared minus 5x plus 7 end quantity divided by the quantity x minus 3 end quantity
h(x) = |x + 2|
p(x) = log4(x)3
Answer:
(Second Option) = g of x equals the quantity x squared minus 5x plus 7 end quantity divided by the quantity x minus 3 end quantity
Step-by-step explanation:
A rational function contains a polynomial in both the numerator and the denominator. This answer fits that requirement.
If 8 ounces is 1 cup, how many cups would 72 ounces be?
Answer:
9 cups
Step-by-step explanation:
Because 1 cup is 8 ounces, and we need to find how many cups we need to have 72 ounces.
You have to divide 72/8 and the answer will be 9
This table gives information about the colors and engine types of motorcycles sold at a showroom in a month.
150 cc 180 cc
Black 18 24
Blue 15 17
Red 26 21
Identify the tables that represent the relative frequencies of this data either by row or by column. Round your answers to the nearest hundredth
The relative frequencies of this data by row is
150 cc 180 cc
Black 0.43 0.57
Blue 0.47 0.53
Red 0.55 0.45
How to determine the relative frequency table?The table of values is given as:
150 cc 180 cc
Black 18 24
Blue 15 17
Red 26 21
Calculate the row total.
150 cc 180 cc Total
Black 18 24 42
Blue 15 17 32
Red 26 21 47
Divide each element by the row total
150 cc 180 cc
Black 0.43 0.57
Blue 0.47 0.53
Red 0.55 0.45
Hence, the relative frequencies of this data by row is
150 cc 180 cc
Black 0.43 0.57
Blue 0.47 0.53
Red 0.55 0.45
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1. Hypothesis: 'n is an odd number.Conclusion: n + 1 is an even number Which of the following is the correct conditional statement that combines the given hypothesis and conclusion?
On is an odd numberthen n + 1 is an even number".
If nu is not an odd number, then n + 1 is not an even number".
if nu is an odd number then n + 1 is not an even number".
If n is not an odd number then n + 1 is an even number
Answer:
A, If n is an odd number, then n + 1 is an even number
Step-by-step explanation:
Any number that is odd, when taken up by the integer 1, will become an even number.
Help me asap!! PLS I RLLY NEED IT
Answer:
Step-by-step explanation:
A.27 (aka 3x3x3)
B.7x7x7x7
C4x4x4x4x4x4x4
D.5x5x5x5x5x5
E.9x9x9
F.8x8
G.12x12x12
H.1x1x1x1x1x1x1x1x1x1x1x1
I.8x8x8x8
J.6x6x6x6x6
K.12x12x12
L.18x18x18
Using the data set below, what is the mean? 4,6,6,7,7,8,8,8,9
A 9
B 7
C 63
Answer: B, 7
Step-by-step explanation: Mean is adding all numbers then dividing so 4 + 6 + 6 + 7 + 7 + 8 + 8 + 8 + 9 is 63 and then divide it by the total numbers (9)
63 divided by 9 is 7
7 is the mean, or B
Solve the equations x + y = 300 and 12x + 15y
4,140
Answer:
x=120
y=180
Step-by-step explanation:
x=300-y
12x+15y=4140
12(300-y)+15=4140
y=180
substitute
x=300-180
x=120
Solve for the variable
4 = 7/y
Answer: y = 7/4
Step-by-Step Explanation:
=> 4 = 7/y
= 7/y = 4
=> y = 7/4
Therefore, y = 7/4
Step-by-step explanation:
4=7/y
cross multiplying
4×y=7
dividing bothsides by 5
4y/4=7/4
y =7/4
I need a answer quick!
Answer:
{5, -3} {0, -1/3}
Step-by-step explanation:
For the first problem, they all have a GCF of 2, so you divide it all by 2 to get x^2-2x-15=0. Now, we need two factors of -15 that equal -2. Those are -5 and 3. Our new equation is x^2-5x+3x-15. To factor, the GCF of x^2 and 5x is x, so divide by x and you get x(x-5). The GCF of 3x and 15 is 3, so divide by 3 and you get 3(x-5). Now, put the numbers outside of the parenthesis into their own, and you get (x+3)(x-5). To get to 0, for the first one x has to be -3, and for the second, x has to be 5.
For the second, 12x^2 and 4x have a GCF of 4x. Since this we don't have a c value, we just divide and factor like this: 4x(3x+1). Since 4x is outside the parenthesis but we don't have any other terms outside, x=0 because 4(0) is 0. To cancel out 1, our x value inside has to be -1/3, because -1/3*3=-1.
Hope this helped!
can someone help me with this problem? Thank you!
113.04 ft2
Step-by-step explanation:
r=d/2=12/2=6
A= pi*r*r=3.14*6*6
A=113.04
Answer:
113.04
Step-by-step explanation:
r = 12÷2
r=6
A=3.14×6^2
A=113.04
Alan wants to install security cameras in his store, which has dimensions of 30 feet by 30 feet. Each camera can view an area of approximately 112.5 ft2, with a viewing area shaped like a right triangle. How many cameras will be necessary to cover the entire store? . If he places cameras only in the corners of the store, how much area is left uncovered? ft2.
Based on the information given, the area that will be left uncovered will be 450ft².
From the information given, the area of the store roof will be:= 30 × 30 = 900ft²
The area viewed by the camera = 112.5ft²
Therefore, the number of cameras needed will be:
= 900/112.5 = 8
When he places the cameras in the corners of the store, he area covered will be:
= 4 × 112.5 = 450ft²
Therefore, the area left uncovered will be:
= 900 - 450
= 450 ft²
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