After one year of payments, the amount need to be paid to interest is $1100.42 if the first segment of a five-year amortization schedule is a 5-year amortization schedule option (a) is correct.
What is a loan amortization schedule?It is defined as the systematic way of representation of loan payments according to the time in which the principal amount and interest mentioned in a list manner.
We have a table given that showing a first segment of a five-year amortization schedule that has a 5-year amortization schedule and the amount of interest paid for months 1 through 12.
As the loan amount is not mentioned in the question, we are assuming the loan amount is $1184.6
Therefore, loan amount = $1184.6
The outstanding amount at the end of one year, which is 12 months, is shown in the table as $84.18
After one year of payments, the amount need to be paid to interest:
= Loan amount - Outstanding amount after 12 months
= 1184.6 - 84.18
= $1100.425
Thus, after one year of payments, the amount need to be paid to interest is $1100.42 if the first segment of a five-year amortization schedule is a 5-year amortization schedule option (a) is correct.
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use the rules of significant figures to simplify the following expression: 47.5-6.12
Using the rules of significant figures the expression 47.5-6.12 can be simplified as 41.38.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The number 6.12 has two digits after the decimal while the number 47.5 has only one digit after the decimal therefore, as per the law of significant figures, to deduct 6.12 from 47.5, we need to put one zero at the end of 47.5.
Also, there are two digits in 47.50 before the decimal while 6.12 has only one, therefore, As per the law of significant figures, one zero will be added before 6.12. Thus, the deduction now can be done as,
4 7 . 5 0
- 0 6 . 1 2
4 1 . 3 8
Hence, Using the rules of significant figures the expression 47.5-6.12 can be simplified as 41.38.
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• 2) During a recent survey of 10,000 students at college: 6854 have a laptop, 3476 have a tablet, and 2163 have both a laptop and a tablet.
1: how many students do not have a tablet?
2: how many students have a mobile computing device (laptop or tablet)?
Answer:
6854 do not have a tablet
2163 have a mobile computing device
Step-by-step explanation:
You just have to read it.
A line has a slope of - 7.
-
(a) What is the slope of the line parallel to it?
(b) What is the slope of the line perpendicular to it?
I need help
Answer:
(a) m = -7
(b) m = 1/7
Step-by-step explanation:
Since parallel lines never overlap, the slopes (m) must be equal. Therefore, a parallel line to a line with a slope of (m = -7) must also have a slope of (m = -7).
Perpendicular lines run opposite of parallel lines. As a result, the sign of the perpendicular slope must be the opposite. Since this slope is negative, the perpendicular slope must be positive. The actual numerical value of a perpendicular slope is equal to one over the slope. Therefore, if a line has a slope of (m = -7), the perpendicular line's slope must be (m = 1/7).
NO LINKS!! Please help me
GHIJK ≅ UVWST
===============
Given for 1st shape:
GK = 16KJ = 16IJ = 24IH = 16GH = 24Given for 2nd shape:
WS = 18===================
WS ≅ IJ
Solve for UV:
[tex]\rightarrow \sf \dfrac{UV}{WS} =\dfrac{GH}{IJ}[/tex]
[tex]\rightarrow \sf \dfrac{UV}{18} =\dfrac{24}{24}[/tex]
[tex]\rightarrow \sf UV =18[/tex]
Solve for ST
[tex]\rightarrow \sf \dfrac{ST}{WS} =\dfrac{JK}{IJ}[/tex]
[tex]\rightarrow \sf \dfrac{ST}{18} =\dfrac{16}{24}[/tex]
[tex]\rightarrow \sf ST = 12[/tex]
Solve for VW
[tex]\sf \rightarrow \dfrac{VW}{WS} = \dfrac{HI}{IJ}[/tex]
[tex]\sf \rightarrow \dfrac{VW}{18} = \dfrac{16}{24}[/tex]
[tex]\sf \rightarrow VW = 12[/tex]
Let's see
WS/UV=GH/IJ18/UV=24/2418/UV=1UV=18#ST
WS/ST=IJ/JK18/ST=24/1618/ST=3/23ST=36ST=12#VW
WS/VW=IJ/IH18/VW=24/16VW=12The sale price of a backpack is $45.00. This is 75% of the original price.
What was the original price of the backpack?
$33.75
$36.00
$56.25
$60.00
Answer:
$60.00
Step-by-step explanation:
75% OF X (original price) = $45
.75x = $45
divide both sides by .75 to isolate X
.75 / .75 = $45 / .75
X= $60
Pepe is putting up a fence in his backyard to enclose a garden in form of a triangle. The garden
already has sides enclosed with eight feet and five feet of fence, respectively. What can you say
about the length of the third side?
A
The side needs a fence that is shorter than 8 ft. but not necessarily longer than 5 ft.
The side needs a fence that is longer than 3 ft. and shorter than 13 ft.
C
The side needs exactly 8 ft. of fence.
The side needs exactly 11 ft. of fence.
D
Answer:
We know that in a triangle, given two sides, the third one must be smaller than the sum of the given sides, but greater than their difference:
z < x + y
z > x - y
Therefore, the length of the third side will be between the difference and the sum of the other two sides. In our case:
x + y = 13
x - y = 3
Hence, the correct answer is: B) The side needs a fence that is longer than 3ft. and shorter than 13ft.
Step-by-step explanation:
One thing ONLY reptiles have
Answer:
Reptile, any member of the class Reptilia, the group of air-breathing vertebrates that only have:
internal fertilization amniotic developmentepidermal scales covering part or all of their bodythey have backbonescold-bloodedthey can produce shelled eggs or bear live youngfertilize eggs internallyhave at least one lungQUICK PLEASE ANSWER ITTT
Answer:
4 3/4 liters
Step-by-step explanation:
2 1/2 + 2 1/4 = 4 3/4
Box A has a volume of 64 cubic meters. Box B is similar to box A. To create Box B, Box A's dimensions were divided by 2. What is the volume of Box B? 128 m3 8 m3 32 m3 16 m3
The final statement is: The volume of box be is equal to 8 m³
What is a volume in math?Every three-dimensional object occupies some space. This space is measured in terms of its volume. Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.
Given here: Volume of Box A= 64 m³
Let the dimensions of box be a each
Then we have dimensions of box b are a/2 each
Therefore volume of box b is = a/2×a/2×a/2
=a³/8
= 64/8
=8
Hence, The volume of box be is equal to 8 m³
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Problem * A pack of 8 pairs of socks cost $4.00 at the store. How much does it cost for each pair of socks? A $0.80 B $0.40 40) с $0.50 D $1.00
A packet of vegetable seeds has a germination rate of
90%. What is the probability that exactly 10 of 12
seeds planted will sprout?
N = number of seeds planted
P = probability of germination
K = number that germinated
Using probability calculation:
p(x = k) = (n k) x 0.90^K x 0.10^n-k
p(10) = (12 10) x 0.90^10 x 0.10^2
P(10) = 0.2310
A police officer recorded the speeds of the first six cars whose drivers he ticketed for speeding today.
Car Speed
(miles per hour)
1 67
2 74
3 85
4 80
5 74
6 82
What is the mean of the cars' speeds?
Mean is average.
Add the speeds together and divide by number of cars:
67 + 74 + 85 + 80 + 74 + 82 = 462
462/6 = 77
Mean = 77 miles per hour
Please help and show detailed workings for the answers . Tq
Answer:
Below,
Step-by-step explanation:
(a) f is not defined when x = 2 because this would make the denominator = zero.
(i) f-1 is the inverse of f.
Let y = (x + 1)/(x - 2)
y(x - 2) = x + 1
xy - 2y = x + 1
xy - x = 2y + 1
x(y - 1) = 2y + 1
x = (2y +1)/(y - 1)
Replace x by f-1 and y by x , we get:
f-1 = (2x+ 1)(x - 1)
(ii) f-1 is not defined when x = 1 , as this makes the denominator zero.
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Please assist with these geometry problems
Answer:
5. ∠TSR ≅ ∠TRS = 72°
6. ∠ORS ≅ ∠OSR = 18°
7. ∠ROS = 144°
Step-by-step explanation:
Segments OT and SR can be drawn to divide the figure into similar right triangles. In these triangles, all of the smaller acute angles are congruent, and all of the larger acute angles are congruent. The smaller and larger acute angles are complementary, as they are in any right triangle.
Segment OT bisects angle T, so the smaller acute angle in each right triangle is 36°/2 = 18°.
__
5.∠TSR ≅ ∠TRS = 90° -18° = 72°
__
6.∠ORS ≅ ∠OSR = 18°
__
7.∠ROS = 2×∠TOS = 2×72° = 144°
Note that this is supplementary to ∠T: ∠O = 180° -36° = 144°.
Determine the whole number of standard deviations that includes all data values. The mean price of the nonfiction books on a best-sellers list is $ 22.58 ; the standard deviation is $ 3.00 .
$ 22.95, $ 18.00, $ 21.00, $ 21.00, $ 22.00, $ 25.00, $ 29.95, $ 22.00, $ 22.95, $ 20.95
All of the values fall within____standard deviation(s) of the mean.
Using z-scores, it is found that all of the values fall within 2.46 standard deviations of the mean.
What is the z-score formula?The z-score of a measure X of a variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean.
In this problem, the farthest variable from the mean is of $29.95, hence X = 29.95 and:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{29.95 - 22.58}{3}[/tex]
Z = 2.46.
Hence, all of the values fall within 2.46 standard deviations of the mean.
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13-28 Sketch the region enclosed by the given curves and find its area.
21. [tex]y=\cos x, \quad y=1-2 x / \pi[/tex]
Answer:
Area (A) 0.0682
Step-by-step explanation:
The sketch for the region enclosed by the given curves can be found in the image attached below.
From the image below;
The two curves intersect in the area of tan 9x = 2 sin 9x
Recall that:
making x the subject; then:
The subdivision of the domain is in two intervals
where;
Area (A) =
Area (A) = 0.06818
Area (A) 0.0682
Which shape has the greatest volume
Hey mate ,
In this particular question we have to find the volume of given objects and compare to find which has the greatest volume.
Lets Solve ,
Cone =Volume of cone :- 1/3πr²h
putting the known values ,
Volume = 1/3×3.14×5²×7 cubic ft.
Volume :- 183.1 cubic ft.
SphereVolume of Sphere = 4/3πr³
putting the known values ,
Volume = 4/3×3.14×5³ cubic ft.
Volume = 523.33 cubic ft.
CylinderVolume of Cylinder = πr²h
putting the known values ,
Volume = 3.14×5²×7 cubic ft.
Volume = 549.5 cubic ft.
HemisphereVolume of hemisphere = 2/3πr³
Putting the known values ,
Volume = 2/3×3.14×5³ cubic ft
Volume = 261.66 cubic ft.
Comparing the volume of each object , we can find that the Cylinder has the greatest volume
Solve the differential equation:
X+1)dy/dx+y=1/x.
a bicyclist covered 5/7 of his route and an additional 40 miles. he has yet to cover 118 miles less than 0.75 of his route. how long is his route
The length of the route of a bicylist that has covered 5/7 of his route and an additional 40 miles and yet to cover 118 miles less than 0.75 of his route is 168 miles.
How to form equation and solve for the variable?The bicyclist covered 5 / 7 of his route and an addditional 40 miles.
Let
x = distance of his route in miles
Hence,
distance covered = 5 / 7 x + 40
He has yet to cover 118 miles less than 0.75 of his route. Therefore,
distance not covered = 0.75x - 118
Distance of his route = 5 / 7 x + 40 + 0.75x - 118
x = 5 / 7 x + 40 + 0.75x - 118
x = 1.464x - 78
x - 1.464x = -78
-0.464x = -78
x = 78 / 0.464
x = 168.103448276
x = 168 miles
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15 Which expression is equivalent to 4(u + 3)?
A 40 + 3
© 40 + 12u
B 40 + 7
D 4u + 12
D, sorry if wrong!!
have a good day
Answer:
D. 4u + 12
Step-by-step explanation:
Distributing the 4 to each term in the parenthesis:
4(u) + 4(3)
= 4u + 12
hope this helps :)
A piece of equipment is purchased for $18,000.00 and has a salvage value of $2,000.00. The estimated life is 10 years and the method of depreciation is straight-line. Shipping costs total $620.00 and installation costs are $590.00. The book value at the end of year 10 is
Consider the following equation.
2x - y = - 10
Step 2 of 2: Determine the missing coordinate in the ordered pair (?, 6) so that it will satisfy the given equation.
Zach has an apple tree in his yard. On Monday, he picked 12 apples and gave 4 of them to his neighbor. On Tuesday, he picked 18 more apples and gave 6 to his cousin. On Wednesday, he
picked 14 more and gave 20 apples to his mother. How many apples does Zach have left?
Answer:
Zach has 14 apples left.
Step-by-step explanation:
This equation is 12 - 4 + 18 - 6 + 14 - 20.
8 + 12 + 14 - 20
20 + 14 - 20
14
Find the area and the circumference of a circle with radius .
Use the value for , and do not round your answers. Be sure to include the correct units in your answers.
Area:
Circumference:
Find the circumference and the area of a circle with radius .
Use the value for , and do not round your answers. Be sure to include the correct units in your answers.
Answer:
the answer is in the picture
Find the sum and product of the complex numbers 4-3 i and - 4 + 5 i
Step-by-step explanation:
Sum
(4-3i)+(-4+5i)
=4-4-3i+5i
=0+2i
=2i
Product
(4-3i)(-4+5i)
=4(-4)-3i(-4)+4(5i)-3i(5i)
=(-16)+7i+20i-15i²
-16+27i-15(-1) [i²=(-1)]
=27i-16+15
=27i-1
=(-1+27i)
I hope it helped you
Alex has two designs to build a chest. In each design, the chest is a rectangular prism.
Chest A has dimensions of 5 feet ×3 feet ×214 feet
5
feet
×
3
feet
×
2
1
4
feet
.
Chest B has dimensions of 4 feet ×312 feet ×3 feet
4
feet
×
3
1
2
feet
×
3
feet
.
Part A
How much space does each chest hold? Include units in your answers.
We need volumes
#Chest A
V=LBH
5(3)(214)3210ft³#Chest B
V:-
4(312)(3)3744ft³Answer:
See below ~
Step-by-step explanation:
Chest A
V = 5 x 3 x 214V = 1070 x 3V = 3,210 ft³Chest B
V = 4 x 3 x 312 V = 1248 x 3V = 3,744 ft³⇒ Chest B has more space than Chest A
⇒ Hope it helps ~
A triangle has the dimensions shown. The area of the triangle is..
A) A=6x^2
B) A=7x^2
C) A=12x^2
D) A=7/2 x^2
Answer: A
Step-by-step explanation:
Nyasha’s financial literacy project involved comparing the annual sales
The value of the statistic for the annual sales in Canadian dollars; C) The standardized score of the minimum annual sales
What is standardized scores?
Standardized scores are defined as scores or data values that have been given a common standard. This standard is a mean of zero and a standard deviation of 1.
Now, in this question the literacy project involved comparing the annual sales of companies. Thus, the value of the statistic for the annual sales in Canadian dollars be equal to the value of the corresponding statistic in United States dollars is the standardized score of the minimum annual sales.
The complete question is; Nyasha's financial literacy project involved comparing the annual sales of companies in Canada and companies in the US that produce software. Using the ratio of 1 CAD to 0.75 USD, she converted all annual sales from the Canadian companies into United States dollars. For which of the following will the value of the statistic for the annual sales in Canadian dollars be equal to the value of the corresponding statistic in United States dollars?
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You have 68 feet of fencing to enclose a rectangular plot that borders on a river. If you DO NOT fence the side
along the river, find the dimensions of the plot that will maximize the area.
Answer:
168 = L + 2W
And you want to maximize LW.
Which means you want to maximize W (168 - 2W), or 168W - 2W^2.
To maximize that, the derivative must go to zero.
0 = 168 - 4W, or W = 42. And L = 84. Done. :-)
Step-by-step explanation: