Expanded Notation Form:
203,574 =
200,000
+ 0
+ 3,000
+ 500
+ 70
+ 4
Expanded Factors Form:
203,574 =
2 × 100,000
+ 0 × 10,000
+ 3 × 1,000
+ 5 × 100
+ 7 × 10
+ 4 × 1
Expanded Exponential Form:
203,574 =
2 × 105
+ 0 × 104
+ 3 × 103
+ 5 × 102
+ 7 × 101
+ 4 × 100
per
A man deposited $80,000.00 in
bank at a 12% compound interest
annum. How much did the man have
in the bank at the second year?
e
Using the compound interest formula, the amount of money in the man's bank account in the second year is $100352
The compound interest relationship is computed using the relation :
Final amount = P(1 + r)^tP = principal ; r = interest rate ; t = periodPlugging the values into the formula :
Final amount = 80000(1 + 12%)²
Final amount = 80000(1 + 0.12)²
Final amount = 80000(1.12)²
Final amount = $100352
Therefore, the final amount in the second year is $100352
Learn more : https://brainly.com/question/18112348
Anyone understand this? Please
Answer:
The sequence of transformation is 90 degrees counterclockwise rotation, followed by a horizontal translation to the right by 2 units.
The order pair rule for each are (x, y) to (-y, x) and (x+2,y)
find the product what is 9.874×7= ?
LORAN is a long range hyperbolic navigation system. Suppose two LORAN transmitters are located at the coordinates (−60,0) and (60,0), where unit distance on the coordinate plane is measured in miles A receiver is located somewhere in the first quadrant. The receiver computes that the difference in the distances from the receiver to these transmitters is 100 miles.
What is the standard form of the hyperbola that the receiver sits on if the transmitters behave as foci of the hyperbola?
LORAN follows an hyperbolic path.
The equation of the hyperbola is: [tex]\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}[/tex]
The coordinates are given as:
[tex]\mathbf{(x,y) = (-60,0)\ (60,0)}[/tex]
The center of the hyperbola is
[tex]\mathbf{(h,k) = (0,0)}[/tex]
The distance from the center to the focal points is given as:
[tex]\mathbf{c = 60}[/tex]
Square both sides
[tex]\mathbf{c^2 = 3600}[/tex]
The distance from the receiver to the transmitters is given as:
[tex]\mathbf{2a = 100}[/tex]
Divide both sides by 2
[tex]\mathbf{a = 50}[/tex]
Square both sides
[tex]\mathbf{a^2 = 2500}[/tex]
We have:
[tex]\mathbf{b^2 = c^2 - a^2}[/tex]
This gives
[tex]\mathbf{b^2 = 3600 - 2500}[/tex]
[tex]\mathbf{b^2 = 1100}[/tex]
The equation of an hyperbola is:
[tex]\mathbf{\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1}[/tex]
So, we have:
[tex]\mathbf{\frac{(x - 0)^2}{2500} + \frac{(y - 0)^2}{1100} = 1}[/tex]
[tex]\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}[/tex]
Hence, the equation of the hyperbola is: [tex]\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}[/tex]
Read more about hyperbolas at:
https://brainly.com/question/15697124
SHOW YOUR WORK. Algebra question. 100 POINTS. Easy
Answer:
x = 3/2Step-by-step explanation:
Add up the given equations t eliminate y and solve for x:
3x + 2y + 3x - 2y = 4 + 56x = 9x = 9/6x = 3/2Your choice is correct
standard form
y = -8x + 7
Multiply.
[−2 3/11⋅(−4)]⋅(1 13/20)⋅(−10)
What is the product?
Answer:
[tex]{ \rm{ \{ - 2 \frac{3}{11} \times ( - 4) \}. \{1 \frac{13}{20} \times ( - 10) \} }} \\ \\ = { \rm{9 \frac{1}{11} \times - 16 \frac{1}{2} }} \\ \\ { \boxed{ \rm{ \: = - 150 \: \: }}}[/tex]
NO LINKS OR ASSESSMENT!!!!
Answer:
See below and attachedStep-by-step explanation:
1. There are infinite number of lines going from only one point (2, 5)
No definite solution for line A.2. This is a proportional relationship, since line passes through the origin. The slope is -3.
The line B is:
y = -3x3. Points (-3, -2) and (3, 10)
The slope:
m = (10 + 2)/(3 + 3) = 2The y - intercept:
10 = 2*3 + b ⇒ b = 4The line C is:
y = 2x + 44. The rate of change is m = 2.5
The y- intercept:
1 = 2*2.5 + b ⇒ - 4The line D is:
y = 2.5x - 45. Line E has a slope of 4, no sufficient info to conclude.
y = 4x + b, with any value of b6. Line F has m = -3/4 and passes through (8, -1).
The y -intercept is:
-1 = 8(-3/4) + b ⇒ b = 5The line F is:
y = -3/4x + 57. G is not a linear relationship as the function increases exponentially with common ratio of 3.
can somebody help me with my social studies cause if you do i will give you brainlist
Answer:
sure if it is about something i know
Subtract.
3−(−5)−(−2)
Plot the solution on the number line.
Answer:
10
Step-by-step explanation:
Answer: Its 10, so plot it on 10 in the number line
Step-by-step explanation: Since the subtraction signs cancel out, they make a addition sign. Henceforth its " 3+5+2" which would mean the sum is 10.
A living room is a compound shape made of two rectangles like the one
below. How many square feet of carpet would you need to cover the entire room?
Answer:
Step-by-step explanation:
702
How do I do 5% of 5.00? Please explain step by step?
Answer:
You take 1 percent from each
Step-by-step explanation:
Answer:
0.25
Step-by-step explanation:
5% of 5
5 5 25
------ × ---- = ------
100 1 100
25/100 is 0.25
Hope this helped you- have a good day bro cya)
Answer the question below, and then fill in the blanks if necessary.
Can the distributive property be used to rewrite
3 + (8 + 4) ?
Answer:
acoording to the picture given, it is possible be cause there is a multiplication operation before the parenthesis.
Step-by-step explanation:
distribut the 3 to each number in the parenthesis:
(3 * 8) + (3 * 4) = 24 + 12 = 36
The length of a rectangular garden is 7 feet longer than its width. If the garden's perimeter is 202 feet, what is the area of the garden in square feet?
Solution :
let widhts-x ; then lenght- x+7Formula :P=2(a+b) ; where a-length , b-weight Then:P=2(x+x+7)=2022(2x+7)=2022x+7=101 2x=94x=47 ; x+7=54 Area=S=length×weightS=47×54=2538 ft²
Anyone know this im stuck on it.
Answer:
I believe the answer is C
Step-by-step explanation:
Answer:
A vertical line at a specific x-value of the domain will intersect the graph of a relation at each y-value in the range that
the x-value is mapped to by the relation. If even one such line has more than one intersection, then one input has two
or more outputs and the relation is not a function.
Happy to Help And brainliest please... I do this all the times sense I'm a honors student, let me know if you need help!
Step-by-step explanation:
Question
Jackson's backpack weighed 15 kg. Convert the weight to pounds. Round to the nearest pound.
Answer:
[tex]15 \times 2.205 = 33.0693 \: lb[/tex]
Unit conversion is a way of converting some common units into another without changing their real value. The Weight of Jackson's backpack is 33.075 pounds.
What is unit conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
Since 1 kg is equal to 2.205 pounds. Therefore, the Weight of Jackson's backpack is,
15 kg = 2.205 × 15 kg = 33.075 pounds
Hence, the Weight of Jackson's backpack is 33.075 pounds.
Learn more about Units conversion:
https://brainly.com/question/4736731
#SPJ2
Hey may someone please help me<4! I’ll greatly appreciate it
Answer:
1st figure out how many feet in 1 yard
Then you can take that number <x>
X x 5
Step-by-step explanation:
Answer:
1.67 yards or 5/3
Step-by-step explanation:
I just looked it up
the greatest common factor of 12 and 26 pls explain the steps
Step-by-step explanation:
12- 2*6
26- 2*13
gcf =2
the least greatest common factor is 2
Write an explanation to a friend about how you
would estimate 17 1/5 / 3 4/5.
Answer:
67/5
Step-by-step explanation:
17 1/5
17x5= 85 + 1= 86/5
3 4/5
3x5=15+4= 19/5
86/5 - 19/5=
86-19= 67/5
hope this helps!
The line, L1 passes through the points A (-3,-2) and B (3,-8) Find the gradient of L1.
Answer:
gradient = -1
Step-by-step explanation:
gradient = y2-y1/x2-x1
gradient = -8--2/3--3
gradient = -8+2/3+3
gradient = - 6/6
gradient = -1
A constant head permeability test is performed on a soil that is 2 cm x 2 cm square and 2.5 cm long. The head difference applied during the test is 18 cm, and 5 cm3is collected over a time of 100 sec. a) Compute the permeability based on these test conditions and results b) A falling head test is to be done on the same soil specimen in teh same time (t1 - t2
Answer:A
Step-by-step explanation:por que se calcula correctamente
solve pls brainliest
Answer: (a.) +3 meters each second (b.) +80 Celsius
Step-by-step explanation:
(a.) 18/6 =+3 meters each (b.) 4*20=+80 Celsius
(b.) 4*every hour=
please help me im stuck
a. When x = -1, the value of y is 3.
b. When y = 7, the value of x is 1.
c. The y-intercept of the graph is (0,5).
d. The x-intercept of the graph is -2.5.
e. The slope of the line is 2.
f. The equation of the line is y = 2x + 5.
Hope this helps!! :)
find the length of x rounded to nearest hundredth please!!
Answer:
4.00 pls give brainliest
Step-by-step explanation:
Hello turkshcutie11!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Find the value of x.
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
It's given that the triangle in the figure is a right triangle (a triangle with one angle as 90°). So, we can use the pythagoras property to solve this question.
__________________
Given sides :-
5 units (base)3 units (altitude)x units (hypotenuse)__________________
Using pythagoras property...
Hypotenuse ² = Base² + Altitude ²
x² = 5² + 3²
x² = 25 + 9
x² = 34
x = √34
x = 5.83 units (1st option).
__________________
Hope it'll help you!
ℓu¢αzz ッ
Help please I’ll give BRAINLIEST
Answer:
first one is M=0 and second one is undefined
Can someone help me and explain this to me step by step?
Answer: 11/9
Step-by-step explanation:
First, convert two to 18/9. This is still equal to two but this makes it easier to answer the problem, because both of the terms have the same denominator. Now, since both of them have the same denominator, all you need to do is subtract the numerators, and put that over the denominator of 9. 18-7=11. So the answer is 11/9. This is an improper fraction, though you could also make it into a mixed number: 1 and 2/9.
Answer:
11/9
Step-by-step explanation:
Add a one under the 2. So that it becomes 2/1. Now you have the expression, 2/1 - 7/9. To subtract fractions, you need the denominators of the two fractions to be the same. We can put 9 as the common denominator. All you have to do in order for 2/1 to have 9 as its denominator, is to multiply 9 for both the numerator and denominator; 2/1 x 9/9 = 18/9. After that, your new expression would be 18/9 7/9. Just subtract across, 18 - 7 = 11, keep the denominator 9. The answer should be 11/9
Hey, What’s up I think I know the answer but I’m not 100% so I’m asking you.
Answer:
120ft squared
Step-by-step explanation:
We'll first separate this into 3 rectangles where the height changes.
We then have 3*8*2, 3*7*2, and 3*5*2.
This solves to 48, 42, and 30.
Those added are 120.
Simplify (−4.5)(−6)(5.4).
i need the answer pls
Answer:
145.8
Step-by-step explanation:
−4.5 x −6 x 5.4
Answer:
the answer is 145.8
Step-by-step explanation:
sorry if I did it wrong
what is 100 divided by 5, (the answer) x 3 (the answer) x 79 (the answer) - 4
NO LINKS PLEASE! First to answer correct gets Branliest!!!
Answer:
4736
Step-by-step explanation:
1) 100 divided by 5 is 20
2) 20 times 3 is 60
3) 60 times 79 is 4740
4) 4740 subtract from 4 is 4736
5) Answer is 4736
Answer:
4736
Step-by-step explanation:
5*20 = 100
20*3 = 60
60*79 = 4740
4740 - 4 = 4736
Which table represents exponential growth?
Answer:
B.
Step-by-step explanation:
Exponential graphs means that it starts to go up slowly but then goes up faster. A is going down, so that's wrong since the graph needs to go up. The correct answer is B.