(i) Monthly installment is $21.53 approximately.
(ii) Total amount man has to pay is $3716.8
(iii) Extra money he had to pay for buying the computer on hire is $516.8
Given,
Initial price of the computer(p) = $3200
Down payment = $480
Time period = 2 yrs
rate percent = 9.5%
(i) Monthly installment = ?
monthly installment =(capital amount × interest rate)/time in months
down payment to be paid = 3200 ₋ 480
= 2720
therefore, monthly payment = 2720 × 9.5 × 1/ 12
= $21.53
(ii) Total amount man has to pay = ?
= down payment ₊ remaining amount ₊ (remaining amount × t × r)
= 480 ₊ 2720 ₊ 2720 × 9.5 × 2
= $3716.8
(iii) If he buys the computer on hire then how much more he has to pay = ?
= total amount ₋ initial cost
= 3716.8 ₋ 3200
= $516.8
Hence the man has to pay $21.23 as a monthly installment, $3716.8 as a total cost of the computer system and $516.8 as an extra amount if he buys it on hire.
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The figure shows part of the concrete slab which is used to make drains and its cross-section. it is made up of a cuboid of dimensions 120 cm by 60 cm by 40 cm, with a half-cylinder horizontally carved out of it.
(i) find the area of the cross-section ABCDEFG.
(ii) find the volume of the concrete slab.
(iii) find the total surface area of the concrete slab.
(iv) find the mass of the concrete slab if the density of concrete is 2300 kg/cubic m, giving your answer in kg.
(i) The area of the cross section ABCDEFG is 1771.6cm³
(ii) The volume of the concrete lab is 212592 cm³
(iii) the total surface area of the concrete slab is 30284 cm²
(iv) The mass of the concrete slab is 40746.8 kg/m³.
Given, dimensions are 120 cm by 60 cm by
40 cm.
(i) area of cross section = 40 × 60 ₋ π(60 ₋10 ₋ 10)/2 . 1/2
= 1771.6 cm³
(ii) the volume of the concrete slab = 40 × 60 × 120 ₋ 1/2 π((60 ₋ 10 ₋10)/2)² . 120
= 212592 cm³
(iii) The total surface area is:
=40 × 120 × 2 ₊ 60 × 120 ₊ 1771.6 × 2 ₊ 10 × 120 × 2 ₊ 1/2 π(60 ₋ 10 ₋10) × 120
= 30284 cm²
(iv) Mass of the concrete slab given density is 2300 kg/m³
Mass = Volume × density
Mass = 17.716 m³ × 2300
= 40746.8 kg/m³
Hence we get the mass as 40746.8 kg/m³.
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I'm having problems because our teacher is making us do this monstersety 391.92x10372.45-918+12.5
Answer:
4064265.104
Step-by-step explanation:
Use PEMDAS :
Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
We only have multiplication and addition/subtraction to do. Multiplication and Division can go in either order depending on which comes first reading left to right. It's the same with Addition and Subtraction: we will first subtract 918 and then add 12.5.
Let's start by Multiplying. 391.92 x 10372.45 = 4065170.604.
Now, subract 918. 4065170.604-918 = 4064252.604.
Finally, add back 12.5. 4064252.604. +12.5 = 4064265.104 !
What is the slope of the line represented by the equation y = -x + 1/2x+1/4
- 1/2
- 1/4
1/4
1/2
Select the correct answer.
Which equation is true for the value b = 2?
A.
2b + 24 = 30
B.
3b − 2 = 4
C.
b + 4 = 8
D.
2b − 3 = 0
Evaluate:
lim h->0 (√(x+h) - √x) / h
Rationalizing the numerator, it is found the result of the limit is given as follows:
[tex]\lim_{h \rightarrow 0} \frac{(\sqrt{x + h} - \sqrt{x})}{h} = \frac{1}{2\sqrt{x}}[/tex]
What is a limit?A limit is given by the value of function f(x) as x tends to a value.
The first step to find the limit is replace the variable by the value, hence:
[tex]\lim_{h \rightarrow 0} \frac{(\sqrt{x + h} - \sqrt{x})}{h} = \frac{0}{0}[/tex]
Undefined limit, hence we have to find another way. The numerator includes square roots, hence it should be rationalized using the subtraction of perfect squares, as follows:
[tex]\lim_{h \rightarrow 0} \frac{(\sqrt{x + h} - \sqrt{x})}{h} \times \frac{(\sqrt{x + h} + \sqrt{x})}{(\sqrt{x + h} + \sqrt{x})} = \lim_{h \rightarrow 0} \frac{(\sqrt{x + h})^2 - (\sqrt{x})^2}{h(\sqrt{x + h} + \sqrt{x})} = \lim_{h \rightarrow 0} \frac{x + h - x}{h(\sqrt{x + h} + \sqrt{x})} = \lim_{h \rightarrow 0} \frac{h}{h(\sqrt{x + h} + \sqrt{x})}[/tex]
Then we simplify the h, so:
[tex]\lim_{h \rightarrow 0} \frac{1}{\sqrt{x + h} + \sqrt{x}} = \frac{1}{2\sqrt{x}}[/tex]
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2. Draw a picture to show how many 1/5s there are in 7/10.
2. 7/10 ÷ 1/5 = 7/2
7/10 × 5 = 1/2
hope it helps u
The jet stream is traveling nearly due south from Wyoming to Colorado at 110 knots. If the plane’s speed is 400 knots, what will be its ground speed if it travels from Wyoming to Colorado?
Considering the direction of the wind, it is found that the ground speed needs to be of 510 knots.
What is the ground speed?The ground speed, considering that the wind is flowing from Wyoming to Colorado, and the same direction as the trip, is given by:
G = Plane speed + Wind speed.
In this problem, we have that the speeds are given as follows:
Plane: 400 knots.Wind: 110 knots.Hence the ground speed is given by:
G = 400 + 110 = 510 knots.
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Find ZABC
00
A
38⁰
32⁰
Answer:
The answer will be 38° + 32° = 70°
Please mark me as the brainliest
which expression is equivalent to. 5 32x^5 y ^10 z^15
HURRY NOW
Answer:
the answer is B
Step-by-step explanation:
5th root of 32 = 2
5 / 5 = cancels
10 / 5 = 2
15 / 5 = 3
2xy²z³
Answer:
2xy^2z^3
Step-by-step explanation:
PLEASE ANSWER ASAP!!!!!11
The nth term of a sequence is represented by 2n^3+25n^2+32n−15/ 6n^4+2n^3−11n^2−2n+17.
What is the limit of the the nth term as x becomes increasingly large?
A. 0
B. 1/3
C. 3
D. The limit does not exist
The limit of the nth term of a sequence does not exist option (D) is correct.
What is the limit?A limit is a value at which a function approaches the output for the given values in mathematics. Limits are used to determine integrals, derivatives, and continuity in calculus and mathematics.
We have an expression:
[tex]= \rm \dfrac{2n^5+25n^2+32n-15}{6n^4+2n^3-11n^2-2n+17}[/tex]
Applying limit:
[tex]= \lim_{n \to \infty} \rm \dfrac{2n^5+25n^2+32n-15}{6n^4+2n^3-11n^2-2n+17}[/tex]
[tex]=\lim _{n\to \infty \:} n \left(\dfrac{2+\dfrac{25}{n^3}+\dfrac{32}{n^4}-\dfrac{15}{n^5}}{6+\dfrac{2}{n}-\dfrac{11}{n^2}-\dfrac{2}{n^3}+\dfrac{17}{n^4}}\right)[/tex]
= ∞ = The limit does not exist
Thus, the limit of the nth term of a sequence does not exist option (D) is correct.
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A coordinate plane is labeled street on the x-axis and avenue on the y-axis. ping is at point (3, 6) and ari is at point (21, 18). a line is drawn from ping to ari. ping lives at the corner of 3rd street and 6th avenue. ari lives at the corner of 21st street and 18th avenue. there is a gym two-thirds the distance from ping's home to ari's home. x = (startfraction m over m n endfraction) (x 2 minus x 1) x 1 y = (startfraction m over m n endfraction) (y 2 minus y 1) y 1 where is the gym? 9th street and 10th avenue 12th street and 12th avenue 14th street and 12th avenue 15th street and 14th avenue
The gym location is (15th street, 14th Avenue). so the option D is correct.
What is graph ?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
Given :
Ping's residence = (3rd street, 6th Avenue)
Ari's residence = (21st street, 18th Avenue)
Gym location is 2/3 the distance of Ping's residence to Ari's residence
So, distance between Ping's home to Ari's home will be
Distance = (21st street, 18th Avenue) - (3rd street, 6th Avenue)
Distance = (21 - 3) street, (18 - 6) avenue
Distance between ping and Ari will be
= (18th , 12th )
We know that
Gym distance = 2/3 × (18), 2/3 ×(12)
Gym distance = (12, 8)
Gym location = Ping's location + gym distance
Gym location = (3rd street, 6th Avenue) + (12th street, 8th Avenue)
Gym location = (15th street, 14th Avenue)
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Will you do the hard questions
Answer:
No
Step-by-step explanation:
I will not do hard questions
When a number is divided into by 8,9,and 6 the remainders are 7, 8 and 5 respectively. Find the number
Answer:71
Step-by-step explanation:
71 is the number when it is divided into by 8,9,and 6 the remainders are 7, 8 and 5
What is Number system?A number system is defined as a system of writing to express numbers.
Given that a number is divided into by 8,9,and 6 the remainders are 7, 8 and 5 respectively.
We need to find the number.
In division there are three parts the divider, dividend, quotient, and remainder.
Let us find the LCM of 8,9 and 6
LCM of 8, 9,6 is 72
72-1=71
Hence, 71 is the number when it is divided into by 8,9,and 6 the remainders are 7, 8 and 5
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bill $42 , tax 9% , tip 18%
Answer:
Tax 3.78 $ and tip 7.56 $
Step-by-step explanation:
42*0.09 = 3.78
42*0.18 = 7.56
If the nth term of a sequence is 11n+2 what is the 12th term
Answer:
134
Step-by-step explanation:
the "nth" term of a sequence means that you can plug in the term number to get the term value
so, if
11n + 2 is the sequence
11(12) + 2 is the 12th term
132 + 2 is the 12th term
134 is the 12th term
By plugging in the term "place" (1st, 2nd, 3rd, 4th, etc.) for the variable "n", we get a term value.
hope this helps!!
The 12th term of the sequence is 133
How to determine the 12th term?The nth term is given as:
Tn = 11n + 1
The 12th term is calculated as:
T(12) = 11(12) + 1
Evaluate
T(12) = 133
Hence, the 12th term of the sequence is 133
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Question
Ahmet borrows $700 and is charged compound interest at 15% per year. How much will he have to pay back in total after 6
years?
Give your answer to two decimal places.
Answer:
I did 700 - 15% times that answer by 6 and u get that big answer.
The required amount Ahmet needs to pay after 6 years is $1619.14.
What is compound interest?Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
Amount = principal[1 + r/n]ⁿᵃ
Principal = P rate= r Time =a , n = compounding frequency
Here,
From the given data,
P = 700, r = 15% and t = 6 (n =1)
Now,
Amount = principal[1 + r/n]ⁿᵃ
Amount = 700(1 + 0.15)⁶
Amount = $1619.14
Thus, the required amount Ahmet needs to pay after 6 years is $1619.14.
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An experiment consists of rolling a standard six-sided die once. Event A is "rolling a 5{}^{\prime\prime} and event B is "rolling an odd number." Are the events dependent or independent? Why? Select the option that correctly answers both questions.
O Events A and B are independent, because P(B) = P(B|A) = 1/2.
O Events A and B are independent, because P(A) = P(B|A) = 1/12.
O Events A and B are dependent, because P(A) =/ P(B|A).
O Events A and B are dependent, because P(B) =/ P(B|A).
Based on the given probability events, we can calculate that Events A and B are independent, because P(B) = P(B|A) = 1/2.
Is event B independent of event A?Events are independent if P(B) = P(B|A)
The probability of event B is:
= 3 odd numbers / 6 numbers
= 1 / 2
The probability of A is:
= 3 prime numers / 6
= 1/2
P(B|A) = ((1 / 2) x (1 / 2)) / (1 / 2)
= 1/2
So P(B) = P(B|A) = 1/2.
The events are independent.
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A farmer has 32 cows. he puts an equal number of cows in 4 fields. each cow produces 6 gallons of milk. how much milk do the cows in one field produce?
Answer:
48/field
you take 32÷4=8 and then you 8*6=48 each field
If the size of a storage box is 50 cm by 10 cm by 20 cm. What is the volume of the box?
Answer:
l×b×h
50×10×20
10000cm^3
Step-by-step explanation:
please mark me as brainlest
Answer:
10000 cm³
Step-by-step explanation:
Volume of rectangular box:
To find the volume of box, multiply the length, width and height of the box and its unit is cubic units
[tex]\sf \boxed{\bf Volume \ of rectangular \ box = l *w*h}[/tex]
= 50 * 1 0 * 20
= 10000 cm³
find the value of cosec^2 30 degree - sin^45 - sec^60
For this question, I will be writing 'csc' instead of 'cosec'
[tex]\sin 30^{\circ}=\frac{1}{2} \implies \csc 30^{\circ}=2\\\\\sin 45^{\circ}=\frac{1}{\sqrt{2}}\\\\\cos 60^{\circ}=\frac{1}{2} \implies \sec 60^{\circ}=2\\\\\\\therefore \csc^{2} 30^{\circ}-\sin^{2} 45^{\circ}-\sec^{2} 60^{\circ}=2^{2}-\left(\frac{1}{\sqrt{2}} \right)^{2}-2^{2}=\boxed{-\frac{1}{2}}[/tex]
Z varies directly as x and y, z=6 when x=2 and y=6 find the value of z when x=3 and y=8
Answer:
12
Step-by-step explanation:
Direct Variation. I think it's gonna be like this.
SInce Z is not inversely to y , its varies directly to both.
Then it's,
Z=kxy, where k is constant.
subst. Z=6,x=2 and y=6.
6=k×2×6
6=k×12=12k
6=12k=½
the formula connecting them is
Z=½xy
Z=½×3×8
Z= 1×3×8÷2
Z=24÷2
Z=12.
That's my solution.
Two number cubes are rolled for two separate events:
Event A is the event
that the sum of numbers on
both cubes is less than 10.
Event B is the event that the sum of numbers on both cubes is a multiple of 3.
Complete the conditional-probability formula for
event B given that event A occurs first by writing A and B in the blanks:
Answer:
Good idea for thanks......
Find the value of cos N rounded to the nearest hundredth, if necessary.
cos N = 14/20 = 0.70
Question 2(Multiple Choice Worth 1 points)
(02.02 LC)
If g(x)= x² + 3, find g(4).
11
19
16
8
Answer: 19
Step-by-step explanation:
g(4) = 4² + 3
g(4) = 16 + 3
g(4) = 19
The following data is a randomly selected sample of 20 state populations. find the measures of central tendency. you may use technology to find the measures.
The mean is 6394530.35 and the median is = 3355572.5
The missing data is attached in the answer.
What is Mean ?Mean is the average value of the data points , it is determined by dividing the total sum of the data points to the number of data points.
Mean and Median is the measure of the central; tendency of the data.
Mean is given by
Sum of the observations/number of observations
= (741894 + 6931071....)/20
= 6394530.35
2) To find median
The data needs to be arranged in ascending order
Then the median is the middle number of the arranged data
Here the median is = 3355572.5
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Help ASAP, really stuck
The total length of the wire needed to make this shape is 162cm
Perimeter of a triangleThe perimeter of a triangle is the sum of the external side of the triangle.
Given the following parameters
Length of one side of the outside shape = 24cm
The side length of the smaller triangle = 24/4 = 6cm
The perimeter of the smallest triangle 3(6) = 18cm
The perimeter of the smaller triangle (at the middle) = 12(3) = 36cm
Total length of wire needed. = 3(24) + 3(18) + 36
Total length of wire needed = 72 + 54 + 36
Total length of wire needed = 162cm
Hence the total length of the wire needed to make this shape is 162cm
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if AB= 51, and AC = 120. find BC.
A
B
C
Answer:
Step-by-step explanation:
AB = 51
AC = 120
BC = AC - AB
BC = 120-51
BC = 69 units
What function is represented below?
HELP ASAP!!
Answer:
C
Step-by-step explanation:
(1/4)^x-2 is the answer
Question 4) Identify the surface area of the composite figure.
4 4 in. FRIZERSLI 15 in. 4 in. 4 in. THE # # ill 7 in. 10 in. Question 4 ) Identify the surface area of the composite figure . 4 4 in . FRIZERSLI 15 in . 4 in . 4 in . THE # # ill 7 in . 10 in .
The surface area of the composite figure is given by 730 sq.in
What are Composites ?Composites are solid figures made up of basic shapes like rectangle , square and even of three dimensional figures like cube , cuboid etc.
It is given in the question to determine the area of the composite figure
Area of Cube is
Area = 6 * side²
Area = 6 * 4² = 96 sq.in
The surface area of the cuboid is equal to
Sum of surface area of all the sides
As the opposite sides are same
7x10x2 + 15x10x2 + 7x15x2
650 sq.in
As the surface area of the base of the cube is counted twice
Therefore it will subtracted from the total
96 + 650 - 4*4
=730 sq.in
Therefore the surface area of the composite figure is given by 730 sq.in
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What is the 25th term of this arithmetic sequence? 3,9,15,21,27
Answer:
75
Step-by-step explanation:
you need to divide numbers by 3
3×25=75
Answer:
147
Step-by-step explanation:
Arithmetic sequence:
a = first term = 3
d = common difference = second term - first term
= 9 - 3
d = 6
n = 25
[tex]\sf \boxed{\bf n^{th} \ term = a + (n-1) d}[/tex]
= 3 + (25 - 1)*6
= 3 + 24*6
= 3 + 144
= 147
