Answer: Per annum means yearly so the interest rate will be 14% as well.
Step-by-step explanation:
-7 - p= p +3
How do you do this
Answer:
-5 = p
Step-by-step explanation:
-7 - p= p +3
Add p to each side
-7 - p+p= p+p +3
-7 = 2p+3
Subtract 3 from each side
-7-3 = 2p+3-3
-10 = 2p
Divide each side by 2
-10/2 = 2p/2
-5 = p
You buy six T-bone steaks that cost $15.99 per pound. The weight that is listed on the package is 5.77 pounds. The scale that weighed the package is accurate to within 1 32 pound. How much per kilogram might you be undercharged or overcharged? (Round to the nearest cent.)
Answer:
Amount per kilogram, undercharged or overcharged is 0.50
Step-by-step explanation:
Given:
cost of T-bone steaks per pound = $ 15.99
weight listed on package = 5.77 lb
Accuracy of the scale = 1/32 lb
To find:
Amount undercharged or overcharged
Solution:
Let x represent the weight of the package.
Then compute the error in the weight
| x - 5.77 | < 1 / 32
This makes an absolute value inequality
If an inequality is given in the form | x | < a then solution is in the form:
–a < x < a.
If an inequality is in the form | x | > a, then solution splits in the form:
x < –a or x > a.
compute the amount undercharged or overcharged:
First multiply the above inequality by cost of T-bone steaks per pound
15.99 |x - 5.77| < 15.99 (1 / 32)
15.99 |x - 5.77| < 15.99(0.03125)
15.99 |x - 5.77| < 0.4996875
15.99 |x - 5.77| < 0.50
Hence the amount undercharged or overcharged is $0.50
Y/8=5 I don’t know where to start
Answer: y = 40
Explanation: In this problem, notice that y is being divided by 8 so to
get y by itself, we need to multiply both sides of the equation by 4.
So we have (8)(y/8) = (5)(8).
Noice that on the left side, the 8 and 8
cancel each other out so we're just left with y.
On the right side, we have (5)(8) which is 40.
So we have y = 40.
Answer: so what you want to do is you have the equation.
Y/8=5
so you can just say it's Y divided by 8 = 5.
The inverse operation of division is multiplication.
so know it would be y×8=5. so you would multiply 8 by 5. which would be 40 so y=40. a way to check it is subsituting 40 for Y. 40/8=5
Find x round to the nearest tenth
Answer:
[tex] X = 70.5 [/tex]
Step-by-step explanation:
The law of Cosine given can be written in another form to make the Cos(C) the subject of the formula. Which is: [tex] cos(C) = \frac{a^2 + b^2 - c^2}{2ab} [/tex]
Where,
a = 20 ft
b = 18 ft
c = 22 ft
C = X
[tex] cos(X) = \frac{20^2 + 18^2 - 22^2}{2*20*18} [/tex]
[tex] cos(X) = \frac{400 + 324 - 484}{720} [/tex]
[tex] cos(X) = \frac{240}{720} [/tex]
[tex] cos(X) = 0.3333 [/tex]
[tex] X = cos{-1}(0.3333) [/tex]
[tex] X = 70.5 [/tex]
Can i please get some quick help?
Answer:
the inverse is the third choice
Evaluate ƒ(x ) = x 2 + 1 for ƒ(-1). A. 0 B. undefined C. 2
Answer:
2
Step-by-step explanation:
f(-1)=(-1)²+1=1+1=2
Determine the equation of the line shown in the graph: 3O POINTS PLS HELP ASAP! graph of a vertical line with an x intercept of negative 1 y = −1 y = 0 x = −1 x = 0
Answer:
[tex]\boxed{x = -1}[/tex]
Step-by-step explanation:
Hey there!
Well a vertical line means it starts with x =,
Whereas a horizontal line starts as y =.
So if the x intercept is at -1 then the equation is x= -1.
Hope this helps :)
Answer:
x = -1
Step-by-step explanation:
Ms. Malle owns a restaurant. Typically 3/20 of the customer’s order fish, while 7/20 of the customer’s order poultry. What fraction of her customers order either fish or poultry?
solve -3+12-5(2y-7) The solution y is:
Answer:
+12
Step-by-step explanation:
1. distribute the negative 5 to 2y and negative 7
2. combine like term's -3+12-10y+35
3.Get the Y value by itself -44 from both sides -44-2y=
-44 -44
4. divide negative 2 from both sides 2y=-44
-2= -2
find the area of the 1/4 circle when the radius is 8
Answer:
Method 1 (using the area of a whole circle and dividing by 4)
First work out the area of the whole circle by substituting the radius of 8cm into the formula for the area of the circle:
A = π ×r²
= π ×8²
= 64π (leave the answer as an exact solution as this need to be divided by 4).
So all you need to do now is divide the answer by 4:
Area of a quadrant = 64π ÷4 = 16π = 50.3 cm² to 3 significant figures.
Method 2 (using ¼ πr²)
Substitute r = 8 directly into the formula A = ¼ πr².
A = ¼ πr².
A = ¼ × π × 8².
A = 50.3 cm²
As you can see it gives exactly the same answer as method 1.
Answer:
64pi / 4 = 16pi, or 50.27
Step-by-step explanation:
We use the area formula:
π * r^2 = Area
Substitute in 8 for r to get 64pi
Then all you have to do is divide 64pi by 4 to find a quarter of the area of the circle, which is 16pi. Or if you want rounded to nearest tenth, 50.27
Make a square measuring 5ft x 5ft. Count the number of people that can comfortably fit into the square. Find the ratio of the number of people in the square to the area of the square. What does this ratio mean?
Answer:
25 Ft
Step-by-step explanation:
you multiply it's so the square root is 25 ft
A total solar eclipse in 2003 lasted minutes and was viewed from the southern hemisphere. The next total solar eclipse in 2005 lasted minutes and was viewed from the northern hemisphere. How much longer was the 2003 solar eclipse?
For the 2003 solar eclipse, it lasted 217 seconds (3 minutes, 37 seconds).
Please help Show that the inverse of a linear function y=mx+b, where m≠0 and x≠b, is also a linear function
Let f(x) = mx+b. Also, let g(x) be the inverse of f(x)
To find the inverse, we start with y = mx+b and swap x and y. From there, we solve for y like so
y = mx+b
x = my + b
x-b = my
my = x-b
y = (x-b)/m ... note m is in the denominator, so m cannot be 0
y = (x/m) - (b/m)
y = (1/m)x - (b/m)
g(x) = (1/m)x - (b/m)
This new equation is linear because it is in the form (slope)x+(y intercept)
The new slope is 1/m and the new y intercept is -b/m
So this proves that the inverse g(x) is linear when f(x) is linear.
The inverse function is:
[tex]y = \frac{x}{m} - \frac{b}{m}[/tex]
Since [tex]m \neq 0[/tex] and [tex]x \neq b[/tex], it is a linear function with slope [tex]\frac{1}{m}[/tex] and intercept [tex]-\frac{b}{m}[/tex].
---------------------------------
A linear function is given by:[tex]y = mx + b[/tex]
In which:
m is the slope and b is the y-intercept.To find the inverse function, we exchange x and y in the original function, and then isolate y. Thus:[tex]x = my + b[/tex]
[tex]my = x - b[/tex]
[tex]y = \frac{x}{m} - \frac{b}{m}[/tex]
Since [tex]m \neq 0[/tex] and [tex]x \neq b[/tex], it is a linear function with slope [tex]\frac{1}{m}[/tex] and intercept [tex]-\frac{b}{m}[/tex].
A similar problem is given at https://brainly.com/question/18594541
An account pays 8% per year simple interest paid a new one, the amount in the account is $850. How much is the account in year 6?
Answer:
1258
Step-by-step explanation:
SI = (P x R x T) / 100
SI = Simple Interest
P = Principal
R = Rate
T = Time
SI = (850 x 8 x 6)/100
=> SI = 85 x 8 x 6 /10
=> SI = 680 x 6 /10
=> SI = 68 x 6
=> SI = 408
The total amount after 6 years = Principal + Simple Interest
=> Total Amount = 850 + 408
=> Total Amount = 1258
After 6 years, the amount in account is 1258.
Use the Remainder Theorem to find the remainder for (x^4+x^2+2) divide by (x-3) a. 8 c. 63 b. 92 d. 0
Answer:92
Step-by-step explanation:
f(3)=3^4+3^2+2=81+9+2=90+2=92
The Remainder Theorem states that
⇛ If a polynomial f(x) is divided by a linear divisor (x – a), the remainder is f(a)
[tex] \Large{ \boxed{ \bf{ \color{green}{Solution:}}}}[/tex]
Given,
p(x) = x^4 + x^2 + 2g(x) = x - 3We don't need to divide by (x−3) ...
☃️Just calculate p(3):
Then, Using remainder theoram,
➝ (3)^4 + (3)^2 + 2
➝ 81 + 9 + 2
➝ 92
☘️ So, The remainder is 92
Option B
━━━━━━━━━━━━━━━━━━━━
Which statement is true?
Group of answer choices
A debt of $17 is a larger value than a debt of $20.
One half an apple is equivalent to 8 fourths apples.
8.01 is a smaller increase in sales then 8.001.
LaTeX: \frac{2}{3} 2 3 below zero is a lower temperature than 6 below zero.
Answer:
The statement that is true is:
A debt of $17 is a larger value than a debt of $20.
Step-by-step explanation:
Let us look at the statements one after the other to determine if they are true or not:
1) A debt of $17 is a larger value than a debt of $20: This is true because when measuring debts, we will consider the values in the negative sense (-). Therefore, a debt of $17 has a value of (-17) and a debt of $20 has a value of (-20). -17 is larger than - 20 on a number line, hence, a debt of $17 has a larger value for the debtor, than a debt of 20$
2) One half an apple is equivalent to 8 fourths apples:
one half an apple = [tex]\frac{1}{2}\ of\ an\ apple[/tex]
8 fourths of an apple = [tex]\frac{8}{4} = \frac{2}{1}\ of\ and\ apple[/tex]. Therefore, one half of an apple is not equivalent to 8 fourth of an apple.
3) 8.01 is a smaller increase in sales than 8.001: This statement is false because 8.001 is counted before 8.01, and the difference between 8.01 and 8.001 is:
8.01 - 8.001 = +0.009, hence, 8.01 is larger than 8.01 by a magnitude of 0.009
4) [tex]\frac{2}{3}\ below\ zero[/tex] is a lower temperature than 6 below zero:
[tex]\frac{2}{3}\ below\ zero\ = (-\frac{2}{3})^\circ[/tex]
6 below zero = - 6°
On the number line, -6 is smaller than [tex]-\frac{2}{3}[/tex] hence the statement is false.
0.017 and 10, please retype the steps you use to set up the problem and type your steps to solve .
Answer:
0.17
Step-by-step explanation:
0.017 times 10 will equal to 0.17 as you will need to move the decimal point forward by one
Identify the rule for each pattern.
Pattern A: 0,3,6,9, 12, 15, 18,...
Pattern B: 0, 12, 24, 36, 48, 60, 72,...
*
Your answer
This is a required question
After the zeros, how is each number in the Pattern B related to the
corresponding number in Pattern A?
Your answer
Answer:
ar some point pattern A will have the same numbers as pattern B as it moves along like if you add 3 for 2 more times in pattern A it will have 24 and so on..
A line 8cm Long is measured as 8.04cm. what is the percentage error?
Answer:
0.04%
Step-by-step explanation:
8.04-8.00
0.4/100
0.04%
How to do this question plz answer my question
Answer:
510,064,471,910,000 m² or 5.1 x 10^14 m²
Step-by-step explanation:
4πr²
if the diameter is 12742, then the radius is 6371
4π(6371)²
510,064,471.91 km²
510,064,471,910,000 m²
Answer:
510064471909788 m²
Step-by-step explanation:
diameter=12742 so the radius r=12742/2=6371=6371*1000=6371000
A=4πr²
A=4π(6371000)²
A=162358564000000π =510064471909788 m²
whats 1,456 ×6,000?
Answer:
8,736,000
Step-by-step explanation:
Answer:
The answer is 8,736,000
What is the equation for the axis of symmetry of a parabola?
Answer:
The graph of the parabola is represented by the quadratic function
y = a( x - p )2 + q which has an axis of symmetry represented by the equation of the vertical line x = p.
Step-by-step explanation:
Answer:
x=-b/2a
Step-by-step explanation:
u need help ASP .
f(x)=1-3X and g (x)=x+4 calculate gf(-2)
Answer:
gf (-2) = 11
Step-by-step explanation:
[tex]f(x) = 1 - 3x \\ g(x) = x + 4 \\ gf( - 2) = ..[/tex]
[tex]gf = .. \\ g(1 - 3x) \\ = 1 - 3x + 4 \\ = - 3x + 5 \\ gf = - 3x + 5[/tex]
[tex]gf( - 2) = - 3( - 2) + 5 \\ = 6 + 5 = 11[/tex]
What is the area, in square meters, of the shaded part of the rectangle below?
6 m
14 m
13 m
Answer:
130 meters squared
Step-by-step explanation:
14-6=8
8*13/2=52
14*13=182
182-52=130 meters
Answer:
130 square metres
Step-by-step explanation:
The shaded area is a trapezium.
Therefore, the rule for its area is base1+base2/2xh
base1=6
base2=14
height = 13
Therefore, 6+14/2 x 13
= 130
Hope that helped!!! k
A hardware store’s revenue R in dollars from selling x lawnmowers is given by the equation R=90x-x^2
Answer:
2000
Step-by-step explanation:
38.
R = 90x - x²
R = 90(50) - 50²
R = 4500 - 2500
R = 2000
How many solutions does the system of equations have?
2x + 3y = 6
y=-2/3x-1
Α. Ο
B. 1
C. 2
D. infinite
(Doesn’t give me a graph or anything hurry please)
Answer:
0
Step-by-step explanation:
The length of a rectangle is 3cm longer than its width.If the perimeter of the rectangle is 54cm,find its length in cm.
Answer:
length = 15 cm
Width = 12 cm
Step-by-step explanation:
Let width = w cm
Length = w + 3
Perimeter of rectangle = 54 cm
2 * (length + width) = 54
2 * (w+3 + w) = 54 {Add like terms}
2 *(2w + 3) = 54
2*2w + 2 * 3 = 54
4w + 6 = 54
Subtract 6 form both sides
4w = 54 - 6
4w = 48
Divide both sides by 4
w = 48/4
w = 12 cm
Length = 12 + 3= 15 cm
Answer:
Length = 15cm
Step-by-step explanation:
let width be x
length = x+3
Perimeter = 2(l + b)
Perimeter = 54cm
equating:
2(x + x + 3) = 54
2(2x +3) = 54
4x + 6 = 54
4x = 54 - 6
4x = 48
x = 48/4 = 12
width = x = 12cm
length = x +3 = 12 + 3 = 15cm
Given the following equation, solve for c.
Answer:
c = b/a
Step-by-step explanation:
Solve for c:
b/c = a
Hint: | Transform b/c = a so that c only appears in the numerator.
Take the reciprocal of both sides:
c/b = 1/a
Hint: | Solve for c.
Multiply both sides by b:
Answer: c = b/a
5 times the sum of the digits of a two digit number is 9 less than the number formed by reversing its digits. If 4 times the value of the digit at ones place is equal to the half of the place value of the digit at tens place, find out the number.
Answer:
5 times the sum of the digits of the number is 9 less than the number formed by reversing digits. → x = (5y - 9)/4 -- equation (1). Case - 2 : And, 4 times the value of the digits at ones place is equal to half the place value of digit at tens place (10x/2).
Find the GCF of the terms of the polynomial.
====================================================
Explanation:
The GCF of the coefficients {6, -42, 14} is 2 as it is the largest factor found in each of the three values.
----------
For the variable portions, we can
write z^5 as z^3*z^2write z^4 as z^3*z^1write z^3 as z^3*1Each time we see z^3 show up, so this is the largest common factor among the three variable terms.
----------
The two results we got were 2 and z^3
Putting the two results together, we end up with the overall GCF of 2z^3