Answer:
25mStep-by-step explanation:
Perimeter of the rectangular pasture P = 2(L+W)
Area A = LW
L is the length
W is the width
Given
Perimeter = 110m
Area = 750m
If the length of the pasture is 40m longer than the width, then L = W+40
110 = 2L+2w
55 = L+W .....1
750 = LW.....2
Solving simultaneously
from 1; L = 55-W
substitute into 2;
750 = (55-W)W
750 = 55W-W²
-W²+55W -750 = 0
W²-55W+750 = 0
(W²-25W)-(30W+750) = 0
W(W-25)-30(W-25) = 0
(W-25)(W-30) = 0
W-25 = 0 and W-30 = 0
w = 25m and 30m
Since L = 55-W
L = 55-25 = 30m and;
L = 55-30 = 25m
Since we are told that length id longer than the width then, the width we are going to use is 25m
In the year 2000, the United States had about 100,300,000 people registered to use cellular phones. How would this number of people be written in scientific notation?
Answer:
1.003 * 10^8
Step-by-step explanation:
Given that :
The United States has about 100,300,000 registered to use cellular phones in the year 2000
100,300,000 in scientific notation:
(100,000,000) + (300,000)
(1 * 10^8) + (3 * 10^5)
To ensure equal power :
300,000 = 3 * 10^5 = 0.003 * 10^8
Hence,
(1 * 10^8) + (0.003 * 10^8)
(1 + 0.003) * 10^8
1.003 * 10^8
a bank offers two different types of interest on saving accounts
account 1 pays 5.5 % simple interest
account 2 pays 5% interest compounded annually
deposits of 1000 are made into the accounts of each type. no additional Including
withdraws or deposits are made.
what amount is the closest to the interest earned in 5 years.
Answer:
(a) The closet to the simple interest eaened in 5 years is $275.00.
(b) The closet to the compound interest earned in 5 years is $276.28.
Step-by-step explanation:
These can be determine as follows:
(a) Simple Interest
The interest earned and be determined using the simple interest formula as follows:
Simple interest = P * R * T ....................... (1)
Where;
P = Principal = $1,000
R = interest rate = 5.5%
T = term = 5
Substituting the values into equation (1), we have:
Simple interest = $1,000 * 5.5% * 5 = $275.00
(b) Compound Interest
The interest earned and be determined using the compound interest formula as follows:
Compound interest = P(1 + R)^T - P ....................... (2)
Where;
P = Principal = $1,000
R = interest rate = 5%, or 0.05
T = term = 5
Substituting the values into equation (2), we have:
Compound interest = $1,000(1 + 0.05)^5 - $1,000 = ($1,000 * 1.05^5) - $1,000 = ($1,000 * 1.2762815625) - $1,000 =$1,276.28 - $1,000 = $276.28
Interest earned in savings Account 1 = 275
Interest earned in savings Account 2= 276.282
What is the difference between simple interest and compound interest?Simple interest is based on the principal amount of a loan or deposit. In contrast, compound interest is based on the principal amount and the interest that accumulates on it in every period.
interest earned by savings account 1
I₁=P*R*T/100
where,
P= Principal
R= rate of simple interest
T = time
I₁=1000*5.5*5/100
compound interest I₁=275
Interest earned by savings account2
amount A after n years= [tex]P(1+\frac{r}{100} )^n[/tex]
where,
A= amount received after 5 years
P= principal
r = rate(compound annually)
n = time
[tex]A = 1000(1+\frac{5}{100} )^5\\\\A=1276.282[/tex]
Compound interest I₂ = 1276.282-1000=276.282
Therefore,
interest earned in savings Account 1 = 275
interest earned in savings Account 2= 276.282
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Please help with math
Answer:
the answer is "A"
Step-by-step explanation:
What is the equation of the line that passes through the point (-6,6) and has an undefined slope ?
Answer:
x = -6
Step-by-step explanation:
8. Transform y = f(x) by translating it right 2 units. Label the new function
g(x). Compare the coordinates of the corresponding points that make
up the 2 functions. Which coordinate changes, x or y?
Please help ASAP!
Answer:
The X-coordinate changes.
Step-by-step explanation:
What is 4x4x4x5x5 using index notation
Answer: 4^3, and 5^2. This is the answer.
Step-by-step explanation:
Someone please help me with this chart, I don’t understand it.
Answer:
The second one is (3 x 3 x 3 x 3) x (3 x 3)
Step-by-step explanation:
The price of an item in a shopping cart is c dollars. If the sales tax on the item is 9%, and the expression c + 0.09c represents the total cost of the item after tax, which TWO EXPRESSIONS also represent the total cost of the item after tax?
A) 0.9c
B) 1.09c
C) 1.9c
D) (1 – 0.09)c
E) (1 + 0.09)c
If you factor c + 0.09c, we get c(1 + 0.09), which is the same as (1 + 0.09)c.
If we add the numbers inside the parentheses (1 + 0.09)c we get 1.09c.
The answer is choice B and E.
Whats the exspression equivalent to (-2x + 8.1y)
Answer:
b. 7x + 2.8y
Step-by-step explanation:
distribute the negative sign:
= -2x + 8.1 + -1(-9x + 5.3y)
= -2x + 8.1 + -1(-9x) + -1(5.3y)
= -2x + 8.1 +9x + -5.3y
combine like terms:
= (-2x + 9x) + (8.1 + -5.3y)
= 7x + 2.8y
Consider the equation 3a+0.1n=123. If we solve this equation for n, which equation would result? A. 0.1n=123-3a B. N=123-3a-0.1 C.N=1,230-30a D. 3a-123 over 0.1 =n
Answer:
n = (123 - 3a) / 0.1
Step-by-step explanation:
Given:
3a + 0.1n = 123
Solve for n
3a + 0.1n = 123
Subtract 3a from both sides
3a + 0.1n - 3a = 123 - 3a
0.1n = 123 - 3a
Divide both sides by 0.1
n = (123 - 3a) / 0.1
The resulting equation if 3a + 0.1n = 123 is solved for n is n = (123 - 3a) / 0.1
Find the sum of QR
4x+33
Answer:
Step-by-step explanation:
Simplifying
4x + 5 = 33
Reorder the terms:
5 + 4x = 33
Solving
5 + 4x = 33
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + 4x = 33 + -5
Combine like terms: 5 + -5 = 0
0 + 4x = 33 + -5
4x = 33 + -5
Combine like terms: 33 + -5 = 28
4x = 28
Divide each side by '4'.
x = 7
Simplifying
x = 7
I NEED HELP lol
The Tigers, a football team, must gain 10 yards in the next four plays to keep possession of the ball. The Tigers lose 24 yards, gain 4 yards, and lose 10 yards. How many yards do they need to keep possession?
Group of answer choices
-20
20
-8
40
Answer:
Step-by-step explanation:
must gain 10 yards
they lost 24 yards
gained 4
-24 + 4 = -20
they lost 10 more
- 20 -10 = -30
x + -30 = 10
x = 10 + 30
x = 40 yards
What is the weight of the seawater in an aquarium that is 4.4 ft long, 2.5 ft wide, and 5.3 ft high?
Answer:
The weight of the sea water in the aquarium is 3827.119 lb
Step-by-step explanation:
We start by calculating the volume of the aquarium
Since it is a cuboid, the volume will be L * B * H
= 4.4 * 2.5 * 5.3 = 58.3 ft^3
Mathematically;
Mass = density * volume
The density of sea water is 63.93 lb/ft^3
Mass = 63,93 * 58.3 = 3,827.119 lb
Use the value of y (y=4) that you found for part b to correctly find the measures of AX and BD and list each step for each.
Use the figure below:
Answer:
AX and BD have the same lenght
Step-by-step explanation:
So BD= 2*(y+4) -> 2*(4+4) = 16
and AX is the same lenght as BX so: AX = y+4 -> 4+4 = 8
points (2, 5) and (-1, -4) and determine the equation of the line.
23. ANALYZING EQUATIONS
The cross section (with
units in inches) of a parabolic satellite dish can be modeled by the equation y=1/38 x^2
How far is the
receiver from the vertex of the cross section? Explain.
Answer:
9.5 in
Step-by-step explanation:
The receiver is placed at the focus of the parabola at a distance of 1/4a from the vertex. Here that would be 1/(4*(1/38)) or 38/4 inches or 9.5 in
The receiver lies 9.5 inches far from the vertex of the cross-section.
Given that,
The cross-section (with units in inches) of a parabolic satellite dish can be modeled by the equation y=1/38 x².
To determine how far is the receiver from the vertex of the cross-section.
A parabola is a cross-section cut out of the cone and represented by an equation, y =4ax².
Here,
The receiver is located near the parabola's focus, 1/4a away from the vertex. That would be 1/(4×(1/38)) or 38/4 inches or 9.5 in. in this case.
Thus, the receiver lies 9.5 inches far from the vertex of the cross-section.
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I need help with this math problem. If you can please give me an explanation.
Answer:
see explanation
Step-by-step explanation:
Calculate the values of y by substituting the values of x into y = - 6x + 2
x = - 5 → y = - 6(- 5) + 2 = 30 + 2 = 32
x = - 1 → y = - 6(- 1) + 2 = 6 + 2 = 8
x = 0 → y = - 6(0) + 2 = 0 + 2 = 2
x = 1 → y = - 6(1) + 2 = - 6 + 2 = - 4
Thus
x y
- 5 32
- 1 8
0 2
1 - 4
Answer:
32
8
2
-4
Step-by-step explanation:
The question is asking you to fill in the table for each value of x. That might sound a little confusing at first... but it's simpler than you think.
The equation y = -6x + 2 is important for the entire problem. What the equation means... is that (-6 times x) + 2 equals y. What does that mean? Let's take a look.
In this equation, x and y are variables. That means that they can be any number... for now they are just holding the place of any number. For example... x + 2 = 4. In this equation... x has to be 2. The same idea is being applied here.
If you want to find what "y" is equal to... you have to replace "x" with the number that the table gives you.
For example... the table asks us to find "y" when "x" is -5.
y = -6 (-5) + 2
y = 30 + 2
y = 32
(It's important to remember that if you multiply two negative numbers... you get a positive product.)
Repeat this process for all of the other values they ask for "x" to get an answer for "y"
I hope this helped :) If not, I'll try and help some more!
whats -9+2345+5678+4567
Answer:
I got 12581
Step-by-step explanation:
What is the solution to the system of equations graphed below?
Answer:
a
Step-by-step explanation:
the two lines intercept at 1,-2
Answer: it is b(4,2)
Step-by-step explanation: nice
how do I compare y intercepts and rates of change.
Ill give brainlist.
Answer:
True
Step-by-step explanation:
(0,-1) lands on the y-axis
Answer:
the answer is false
Step-by-step explanation:
bc the line is not on 0,-1
hope this helped ^^
2x +12 - 8x - 7= -10x + 2 + 4x +3.
Answer:
r37grqigohw
Step-by-step explanation:
A 13-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 5 feet from the base of the building. How high up the wall does the ladder reach?
The ladder reaches ___ feet up the wall (round to the nearest humdredth)
Answer:
12
Step-by-step explanation:
The manager of a hardware store is analyzing his monthly profit. In January, the
store earned a profit of $4,000. In February, the profit changed by -$450. In
March, the profit changed by +$600 from the previous month. How much profit,
in dollars, did the company make in March?
PLS HELP ME!!!!
I have the answer I just need to show the work
Find the measure of angle A.
Answer: 28 degrees
Answer:
32x+4+20+4+6x=180
38x+28=180
38x=152
x=4
4+6(4)
4+24
28
Step-by-step explanation:
please give brainliest!!
Step-by-step explanation:
(32x+4)+20+(4+6x)=180
38x+28=180
38x=152
(38x)/38 = (152)/38
x=4
plug into angle A:
4+6x
4+6(4)
28
A line passes through point (8, -2) and has a slope of -5/4
Write an equation in Ax+By= C form for this line.
Use integers for A, B, and C.
show work on how you got it
Answer:
4y+5x=32
Use slope intercept form, then change to Ax+By= C form.
hello can u help plz?
Answer:
slope would be 3 or 3/1
Step-by-step explanation:
I think i'm not totally sure it could be -3 or -3/1
On a two week job a repairman works a total of 70 hours he charges 75$ plus 40$ per hour.An equation shows this realationship where x is the number of hours and y is the total fee
This question is incomplete
Complete Question
On a two week job, a repairman works a total of 70 hours. He charges $75 plus $40 per hour. An equation shows the relationship where x is the number of hours and y is the total fee. Write the equation. What is the slope and y-intercept?
Answer:
a)Write the equation.
y = 40x + 75
b) What is the slope and y-intercept?
The slope = 40
y - Intercept = 75
Step-by-step explanation:
On a two week job a repairman works a total of 70 hours. He charges 75$ plus 40$ per hour.
The equation shows this realationship where x is the number of hours and y is the total fee is given using the equation of a straight line which is given as:
y = mx + c
Where m = Slope
c = y intercept
Applying this equation to our question , we have:
y= 40x + 75
The slope = m = 40
y-intercept = c = 75
Answer:
75 y intercept.
Step-by-step explanation:
pleaseeee helpppp!! thank you sm:(
Answer:A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
x-5 has to be less than -2 and the inequality sign goes the opposite direction than the arrow on the number line
HELPPPPPPP PLS MATH!! MKARKING BRAINNIEST!!!!!!!!!!