9514 1404 393
Answer:
$48.64
Step-by-step explanation:
The monthly payment amount is given by the amortization formula ...
A = P(r/n)/(1 -(1 +r/n)^(-nt))
where P is the loan amount, r is the annual interest rate compounded n times per year for t years.
Here, you have P=2000, r=0.16, n=12 (months per year), t=5 (years), so the payment is ...
A = $2000(0.16/12)/(1 -(1 +0.16/12)^(-12·5)) = $320/(12(0.54828942))
A ≈ $48.636 ≈ $48.64
You will need to pay $48.64 each month to pay off the charge in 5 years.
Integers are sometimes whole numbers
true or false
Answer:
True
Step-by-step explanation:
Integers are always whole numbers
negative, 0, positive:: whole numbers
In the diagram below, ΔABC ≅ ΔDEF. Complete the statement AB¯¯¯¯¯¯¯¯≅ __
A. BC
B. DF
C. FE
D. DE
Answer:
The answer would be D. DE
Step-by-step explanation:
same prob
Congruent triangles are exact same triangles, but they might be placed at different positions. The correct option is D.
What are congruent triangles?Suppose it is given that two triangles ΔABC ≅ ΔDEF
Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.
The order in which the congruency is written matters.
For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.
Thus, we get:
[tex]\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \angle B = \angle E\\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF[/tex]
(|AB| denotes the length of line segment AB, and so on for others).
Given that ΔABC ≅ ΔDEF. Therefore, the given sentence can be completed as AB ≅ ΔDE.
Hence, the side AB ≅ ΔDE
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find the HCF of 72,108 and 180
Answer:
36 is the answer
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
72: 2×2×2×3×3
108: 2×2×3×3×3
180: 2×2×3×3×5
here, common factors are 2,2,3 and 3 ..
so.. HCF: 2×2×3×3
•°•HCF=36 ..
Any answer that is not exact is an _____.
If an answer is not exact then that will be unequal.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.
In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
If a value is not equal to the answer of that value then that is called unequal.
For example 2 and 3 then 2 is not equal to 3 so it will be inequal i.e. 2<3.
Hence "If an answer is not exact then that will be unequal".
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Write the equation of the line that passes through the points (- 5, 1) and (2, 0) . Put your answer in fully reduced slope intercept form, unless it is a vertical or horizontal line
Pls help me with this one:(
Answer:
y=-1/7x + 12/7
Step-by-step explanation:
Start by finding the slope
m=(1-0)/(-5-2)
m=-1/7
next plug the slope and the point (-5,1) into point slope formula
y-y1=m(x-x1)
y1=1
x1= -5
m=-1/7
y- 1 = -1/7(x - -5)
y-1=-1/7(x+5)
Distribute -1/7 first
y- 1=-1/7x + 5/7
Add 1 on both sides, but since its a fraction add 7/7
y=-1/7x + (5/7+7/7)
y=-1/7x+12/7
Answer:
Step-by-step explanation:
(-5,1) (2,0)
m=(y-y)/(x-x)
m = (0-1)/2- -5)
m = -1/7
(2,0)
y-0= -1/7 (x-2)
y = -1/7x + 2/7
Operaciones con funciones Suma, resta, multiplicación y división
F(x) 6x+2
G(x) 3x-2
AYUDAAA
Answer:
let us do one night
Step-by-step explanation:
Agg-77182882
(#(+2+
Type an equation for the
following pattern.
x
1 -2
2
4
3
-6
y=[? ]x+[ ]
4
-8
S
- 10
Answer:
y=-2x
Step-by-step explanation:
first find the slope: (-2-(-4))/(1-2)=2/-1=-2 so m=-2
now we have y=-2x+b, to find b we plug in any of the points
-2=-2(1)+b-2=-2+b b=0so the equation is y=-2x
87.26+(-25.6)+(-5.4)
Answer:
= 87.26 + (-25.6) + (-5.4)
=87.26- 25.6 - 5.4
= 87.26 - 31
= 56.26
✌✌✌✌✌
In some sparsely populated areas of the United States, the speed limit on highways can be as high as 80 miles per hour (mph).
What is this speed in meters per second (m/s)?
Conversion Factors:
1 mile = 1609 meters
1 hour = 3600 seconds
A. 2.98 m/s
B. 35.8 m/s
C. 1206.8 m/s
D. 2145.3 m/s
[tex](B)\:\:35.8\:\text{m/s}[/tex]
Step-by-step explanation:
[tex]80\:\dfrac{\text{mi}}{\text{hr}}×\left(\dfrac{1609\:\text{m}}{1\:\text{mi}}\right)×\left(\dfrac{1\:\text{hr}}{3600\:\text{s}}\right)[/tex]
[tex]= 35.8\:\text{m/s}[/tex]
Answer: b
Step-by-step explanation:
Estimate the mean exam score for the 50 students in Prof. Burke's class.
Score
f
40 but less than 50
21
50 but less than 60
39
60 but less than 70
40
70 but less than 80
34
80 but less than 90
28
Total
162
Group of answer choices
63.78
62.34
64.89
65.56
==========================================================
Explanation:
The interval [tex]40 \le x < 50[/tex] has the midpoint (40+50)/2 = 90/2 = 45 which represents the average value from this interval. We don't know what the exact 21 values are from this interval, but the best guess we can make is each value is on average 45.
Similarly, the interval [tex]50 \le x < 60[/tex] has the midpoint (50+60)/2 = 110/2 = 55 which represents the average value in this interval.
The set of all midpoints is: {45, 55, 65, 75, 85}. You start at 45 and add 10 to each term to get the next term. Let's say x represents the midpoint. We'll multiply each x value with its corresponding frequency (f) to get a new column of values you see in the table below.
For example, in the first row, we have 45*21 = 945
Add up everything in the x*f column and we'll get this sum:
945+2145+2600+2550+2380 = 10,620
We'll divide this over the total frequency, which is the sum of the frequency column (21+39+40+34+28 = 162)
We then arrive at this estimated final answer: (10,620)/(162) = 65.55555... where the '5's go on forever. This rounds to 65.56
what Is the si unit of temperature
Answer:
the Si unit of temprature in Kelvin (K)
Step-by-step explanation:
Answer:
The answer is Kelvin (k).
Step-by-step explanation:
The kelvin (K) is defined by taking the fixed numerical value of the Boltzmann constant k to be [tex]1.380649*10^{-23}[/tex] when expressed in the unit of joule per kelvin. The temperature 0 K is commonly referred to as "absolute zero." On the widely used Celsius temperature scale, water freezes at 0 °C and boils at about 100 °C. One Celsius degree is an interval of 1 K, and zero degrees Celsius is 273.15 K. An interval of one Celsius degree corresponds to an interval of 1.8 Fahrenheit degrees on the Fahrenheit temperature scale.
The kelvin is also the fundamental unit of the Kelvin scale, an absolute temperature scale named for the British physicist William Thomson (known as Lord Kelvin). An absolute temperature scale has as its zero point absolute zero (−273.15° on the Celsius temperature scale and −459.67° on the Fahrenheit temperature scale), the theoretical temperature at which the molecules of a substance have the lowest energy; hence, all values on such a scale are nonnegative.
I got a negative number as an answer for this sine rule question and I don't know what did I do wrong
Answer:
x=14.42192
Step-by-step explanation:
Angle A = 180 - 86 =94
The sum of the angles of a triangle is 180
sin A sin 46
------- = -----------
20 x
sin 94 * x = 20 sin 46
x = 20 sin 46 / sin 94
x=14.42192
What is 20×10 to the third power equal
Robert owns two dogs. Each day, one dog eats
1/6 of a scoop of dog food and the other dog eats br
1/6 of a scoop. Together, how much dog food do
the two dogs eat each day? Write in simplest
form.
Answer:
2/3 scoop
Step-by-step explanation:
1/6 + 1/6 = 2/6 = 1/3
Answer: 2/3 scoop
Maya must choose a number between 67 and 113 that is a multiple of 3, 5, and 10. Write all the numbers that she could choose. If
there is more than one number, separate them with commas.
The number which is a multiple of 3,5 and 10 is 90
A family has two cars. The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas. During one particular week, the two cars went a combined total of 1825 miles, for a total gas consumption of 75 gallons. How many gallons were consumed by each of the two cars that week?
Answer:
1) 35 gallons by the first car 2) 40 gallons by the second car
Step-by-step explanation:
Suppose the first car used x gallons, when the second car used the rest- 75-x
If the first car's efficiency is 35 miles per galon, its milleage is 35*x, the second car's milleage is 15*(75-x). And the summary milleage is equal to 1825.
35x+15(75-x)=1825
35x+1125-15x= 1825
20x=700
x=35- gallons consumed by the first car,
75-35=40- gallons consumed by the second one
hello help Plis……..
Answer:
1.)149800
2.)75.9820
3.)49990
4.)29.900
Please Help Me I will probably post more like this as its the only thing really that's holding me back from passing 5th grade on khan academy math!!
Answer:
330 cm^3
Step-by-step explanation:
Volume of figure=Volume of the cuboid+Volume of the other cuboid
Volume of figure=240+90=330
The double number line shows that Toni can type 180 words in
2 minutes.
Based on the ratio shown in the double number line, how many words can Toni type in 3 minutes?
Answer:
120 words
Step-by-step explanation:
as a ratio it's
2:180
In real life the longer you do something the more words you type
so since you can't get to 3 from 2 easily you go to 1 instead.
2:180
1:360
3:120
30) Luke has drawn a model figure as shown below to represent a garden he wishes to build. If he is planning on using a
scale factor of 2 cm: 5 ft, how long does the fence need to be?
9514 1404 393
Answer:
45 ft
Step-by-step explanation:
The fence is shown as 18 cm, which is 9 times 2 cm. If 2 cm represents 5 ft, then the actual fence will be 9 times 5 ft = 45 ft.
Sally paid $6.50 for 2 ounces of cinnamon. If there are 16
ounces in 1 pound, how much does cinnamon cost per
pound?
Answer:
52 dollars.
Step-by-step explanation:
2 ounces = 6.50
÷2 ÷2
1 ounce = 3.25
3.25 x 16 = 52 dollars.
Answer:
52 dollars per pound
Step-by-step explanation:
We can write a ratio to solve
6.50 dollars x dollars
------------------- = ------------------
2 ounces 16 ounces
Using cross products
6.50 * 16 = 2x
Divide each side by 2
6.50 *16/2 = x
52 =x
Write the point-slope form of the line passing through (2, -12) and perpendicular to y = 3x.
Answer:
y+12 = -1/3(x-2)
Step-by-step explanation:
y = 3x
The slope is 3
Lines perpendicular have a slope that is the negative reciprocal
-1/3 is the slope of a line that is perpendicular
Point slope form is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point on the line
y --12 = -1/3(x-2)
y+12 = -1/3(x-2)
Find the slope and the y-intercept of the line. 3x -4y = -12
[tex]\\ \sf\longmapsto 3x-4y=-12[/tex]
Convert to y=mx+b form[tex]\\ \sf\longmapsto 3x+12=4y[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{3x+12}{4}[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{3}{4}x+\dfrac{12}{4)[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{3}{4}+3[/tex]
Slope=3/4Practice Exercise 3.1 Fill in the blanks: (i) The factors of 12 are (ii) The least non-zero multiples of any number is (iii) ......... is a factor of every number. ing with Numbers
Answer:
i.)1,2,3,4,6,12
ii).the number itself
iii.)1
what is the equationof the line that passes through (0,3) and (7,0)
Hey guys so I need help with my math homework what is 4/5 to 1/6 one third away from
Answer:
0.16
Step-by-step explanation:
What is the measure of ∠x?
Angles are not necessarily drawn to scale.
∠x= ____∘
Please help me!
Answer:
hey mate ...
105 + JID = 180 ( STRAIGHT LINE )
JID = 75
NOW APPLY ANGLE SUM IN TRIANGLE JID
75 + 39 + IJD = 180
IJD = 66
x = IJD by vertically opposite angles
x = 66
Sally's paycheck this week was $100. She spent $220.45 for a shirt, $12.95 for a CD, $15 for gasoline, and put the balance in the bank.
a. What percent of her total pay was spent on the shirt?
b. What percent of her total pay did she put in the bank?
Answer:
A) 220.45%
B) 0%
Step-by-step explanation:
A) 220.45 / 100 = 2.2045 * 100 = 220.45%
B) Costs exceeded her paycheck, so 0% of her pay was leftover and put in the bank.
Answer: A) 22.045% , B) 75.16%
I guess its a typo and weekly salary was $1000
So weekly salary = 1000
Spent on shirt = $220.45
Spent on CD = $12.95
Spent on Gasoline = $15
A) 220.45/1000×100
= 22.045%
B) Total spent = 220.45 + 12.95 + 15
= $248.4
Total left with her = 1000 - 248.4
= $751.6
Total percent of pay she put in bank = 751.6/1000×100
= 75.16%
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Part E
1e. Subtract the binomial 12y2 – 4y3 from the trinomial 7y - 2y3 + 5y2
Answer:
2y^3-7y^2+7y
Step-by-step explanation:
7y - 2y^3 + 5y^2 - ( 12y^2 – 4y^3)
Distribute the minus sign
7y - 2y^3 + 5y^2 - 12y^2 + 4y^3
Combine like terms
2y^3-7y^2+7y
Leena is arranging 3 different books in a row on a shelf. Create a sample space for the arrangement of a detective story (D), a mystery story (M), and a comic book (C).
Source
StylesNormal
There are 6 DIFFERENT POSSIBLE arrangements as obtained using the factorial method and they are :
DMC, CMD, DCM, MDC, CDM, MCD
Given :
DETECTIVE STORY = D
MYSTERY STORY = M
COMIC BOOK = C
To use the factorial method, we find the factorial value of the number of books to be arranged
Number of different possible arrangements = (number of books)!
Number of books = 3
Hence, 3! = 3 * 2 * 1 = 6 ways
The sample space :
DMC
CMD
DCM
MDC
CDM
MCD
THEREFORE, there are 6 different samples on the SAMPLE SPACE.
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