Answer:
1.1%
Step-by-step explanation:
cost price=1.10×12
=$13.20
selling price=(12-3)×1.45
=9×1.45
=$13.05
loss= cost price-selling price
=13.20-13.05
=0.15
loss percent=0.15/13.20×100
1.13636
1.1%
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Please help!! Katherine O'Donnell obtained a personal loan of $1,800 at 10% for 12 months. The monthly payment is $165.00.
What is the new principal after the first payment?
Answer:
$1650
Step-by-step explanation:
Each payment is applied first to the amount of interest that is due, then to the remaining principal.
__
For the first monthly payment, the interest due is ...
I = Prt = $1800(0.10)(1/12) = $15.00
So, the amount of the payment that gets applied to the principal is ...
payment - interest = $165 -15 = $150
The new balance is ...
$1800 -150 = $1650.00 . . . . new principal after the first payment
__
The attachment shows the balance after each payment. Each interest amount is rounded to cents. The negative balance after the last payment is the amount of excess that last payment represents.
given ab and ac are lines that are tangent to the circle with m
Answer:
B
Step-by-step explanation:
the opposite angles of the quadrilateral ABDC are supplementary , that is
∠ BDC + 40° = 180° ( subtract 40° from both sides )
∠ BDC = 140°
A shoebox has a volume of 64 in.³ and a surface area of 160 in.² what is the surface area of a similar shoe box if its volume is only 27 in.³ show your work or explain how you got your answer
Answer:
90 in²
shoebox:
volume = 64 in³surface area = 160 in²Another shoebox:
volume = 27 in³surface area = x in²====================
[tex]\sf (\dfrac{area1}{area2})^3 = (\dfrac{volume1}{volume2} )^2[/tex]
====================
[tex]\sf \hookrightarrow (\dfrac{x}{160})^3 = (\dfrac{27}{64} )^2[/tex]
[tex]\sf \hookrightarrow \dfrac{x^3}{160^3} = \dfrac{27^2}{64^2}[/tex]
[tex]\sf \hookrightarrow \ x^3 = \dfrac{729*4096000}{4096}[/tex]
[tex]\sf \hookrightarrow \ x^3 = 729000[/tex]
[tex]\sf \hookrightarrow \ x = \sqrt[3]{729000}[/tex]
[tex]\sf \hookrightarrow \ x = 90[/tex]
Which is the equation for line B?
A. y= 4/3x
B. y=3/4x
C. y=3/2x
Answer:
b. y = 3/4x
Step-by-step explanation:
you can count it on the graph or use the slope formula
what is the perimeter of a 12 inch by 13 inch triangle
Answer:
Perimeter = 30 in
Step-by-step explanation:
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = ab = 12 inc = 13 inSubstitute given values into the formula and solving for a:
⇒ a² + 12² = 13²
⇒ a² + 144 = 169
⇒ a² = 25
⇒ a = 5 in
Therefore, perimeter = a + b + c
= 5 in + 12 in + 13 in
= 30 in
Final Answer:
[tex]\fbox{perimeter \: of \: triangle = 30 \: in.}[/tex]
Step by Step explanation:
Data achieved from diagram:
The given triangle is a right angle triangle
Hypotenuse of triangle = 13 in.
Base of triangle = 12 in.
To find:
Perimeter of triangle = ?
Solution:
We need length of all three sides (Altitude) of triangle,
let's find out the measure of length of Altitude using Pythagoras theorem!
[tex]{Hypotenuse}^2 = {Base}^2 + {Altitude}^2 \\ {13}^{2} = {12}^{2} + {A}^{2} \\ {A}^{2} = 169 - 144 \\ {A}^{2} = 25 \\ {A} = \sqrt{25 } \\ \fbox{A = 5 \: in.}[/tex]
Now we have all three sides of triangle,
[tex]perimeter \: of \: triangle = Hyp. + Base + Alt. \\perimeter \: of \: triangle = 13 + 12 + 5 \\ \fbox{perimeter \: of \: triangle = 30 \: in.}[/tex]
Thanks for joining brainly community!
Zaire is making granola bars. For one batch of bars, the recipe calls for 1 2/3 cups of rolled oats and ½ cup of raisins. What is the combined amount, in cups of rolled oats and raisins, used in one batch of granola bars?
Answer:
13/6
No explanation sorry :(
Solve for the exponential for x
Answer:
x = 1
Step-by-step explanation:
[tex]7^{4x-6}=\frac{1}{49}[/tex]
[tex]7^{4x-6}=7^{-2}[/tex]
4x - 6 = -2
4x = -2 + 6
4x = 4
(Divide both sides)
x = 1
Solve for x. Leave your answer in the simplest form.
Image down below!
Please help! Brainlist and points
(I named the empty line y)
y²= 9²+5²
= 81+25
=106
y= V106
y≈10.30
x²= 4²+y²
= 4²+ (V106)²
= 16+106
=122
x≈11.05
The following are the temperatures in °C for the first 10 days in January:
-0.1, 3.5, 6.4, 3.8. 4.7, 76, 4.7, 8.1, -1.8, -8
Calculate the range.
Give your answer as a decimal.
Answer:
84.0
Step-by-step explanation:
Range: Highest value - lowest value
Highest value: 76
Lowest value: -8
= 76 - (-8)
= 84
= 84.0
A= 108. Reflex angle b=
180+72=252
Step-by-step explanation:
an angel can be a large or as wide up to 360 then it is a circle
from the center out one way is 180
the same from the center the other way is 180
The sum of two consecutive odd numbers is 24. Find the numbers.
Answer:
numbers = 11, 13
Explanation:
Let the two consecutive odd numbers be: n and n + 2
==========
n + n + 2 = 242(n) + 2 = 242(n) = 24 - 22(n) = 22n = 11⇒ One number: 11
⇒ Another number: 11 + 2 = 13
The sum of two consecutive odd numbers is 24. Find the numbers .
Given : -Sum of two consecutive odd no. = 24To Find : -We have to find the numbers .
Concept : -In this question we have to find the numbers by assuming the numbers and forming equations to finally get the appropriate answer .
To Assume : -Let first odd no. be x .Let second odd no. be x + 2So let's get started by solving : -[tex] \longrightarrow \: x + 2 + x= 24[/tex]
Now adding them ,
[tex] \longrightarrow \: 2x + 2 = 24[/tex]
Now taking 2 common ,
[tex] \longrightarrow \: 2(x + 1) = 24[/tex]
Now dividing 24 by 2 ,
[tex] \longrightarrow \: x + 1 = \frac{24}{2} [/tex]
We get ,
[tex] \longrightarrow \: x + 1 = 12[/tex]
Now transposing 1 to right hand side ,
[tex] \longrightarrow \: x = 12 - 1[/tex]
So ,
[tex] \longrightarrow \: \boxed{\bold{ x = 11}}[/tex]
Therefore value of first number is 11 .
Now , other consecutive no. be x + 2 . So
11 + 213Therefore value of second number is 13 .
Verifying :According to question sum of two consecutive no. is 24. So :
11 + 13 = 2424 = 24L.H.S = R.H.S Hence , Verified .Therefore our answer is valid .# [tex] \sf{Keep \: Learning}[/tex]a net of a building block is show is shown below . what is the total suface area of the building block ?
Consider the polynomial -2a^3b^2+5ab^5+7b^4+8 Write the degree of this polynomial, its leading term, its leading coefficient, and its constant term.
Answers:
Degree = 6Leading term = 5ab^5Leading coefficient = 5Constant term = 8=====================================================
Explanation:
When we have multivariable terms like this, we add up the exponents for each monomial separately.
The first term -2a^3b^2 has its exponents add to 3+2 = 5The second term 5ab^5, aka 5a^1b^5, has the exponents add to 1+5 = 6The third term can be thought of as 7a^0b^4, so its exponents add to 0+4 = 4The last term 8 is really 8a^0b^0, and its exponent sum is 0The degree of this entire multivariable polynomial is the largest sum calculated in the list above. That sum being 6. Therefore, the degree of the polynomial is 6.
----------------------
From that we can circle the leading term 5ab^5 since the leading term is always the one with the largest exponent sum (aka degree). The current polynomial as written is not standard form. It should be this:
5ab^5 - 2a^3b^2 + 7b^4 + 8
Notice how the exponent sums decrease when going from left to right. The largest sum is always listed first. Hence the "leading" aspect of "leading term".
-------------------------
The leading coefficient is the coefficient of the leading term.
The coefficient of 5ab^5 is 5. More specifically, it's the first "5" mentioned. As another example, the coefficient of 7ab^5 would be 7.
The leading coefficient is 5
-------------------------
The constant is the term without any variables attached to it. It stays the same number the entire time.
The constant term is 8
4. A jeep can travel 356 miles in 6 hours, and a truck can travel 221 miles in 3.5 hours. What is the unit rate of the faster vehicle? Round your answer to the nearest hundredth.
Answer:
63.14
Step-by-step explanation:
in order to get unit rate you take the distance 221miles divide by time which is 3.5 hr you get 63.14 after you have rounded .when you take 356miles divide by 6hrs you get 56.33 so the vehicle is the truck i think so
sorry to say this but kinda not that sure apologies if am wrong
50 POINTS! Please help me! I give Brainliest!
1. Given the following coordinates, complete the listed transformations in sequence, which means you do one after the other.
X(2, 4)
Y(5,-3)
Z(-7, 1)
a) Rotate the points 90 degrees clockwise
b) Dilation by a scaling factor of 2
c) Reflect across the x-axis
d) Translation 2 Up and 5 to the Left
4 PARTS TO THIS QUESTION! ANSWER ALL PLEASE!
Translating the new coordinate up by 2 units and 5 units to the left will given a final coordinate at X''''(10, 1), Y''''(-4, 15) and Z''''(4, 19)
What is transformaton?This is a technique used to change the position or size of an object on the xy plane.
Given the coordinate points X(2, 4), Y(5,-3) and Z(-7, 1)'
If the coordinate points is rotated 90 degrees clockwise, then the resulting coordinate will be at X(4, -2), Y(-3,-5) and Z(1, 7)
If the resulting coordinate is dilated by by a scaling factor of 2, then the new coordinate points wil be at X''(8, 4), Y''(-6, -10) and (2, -14)
If the resulting coordinate is reflected over the x-axis, then the new coordinate points wil be at X'''(8, -4), Y''(-6, 10) and (2, 14)
Finally, translating the new coordinate up by 2 units and 5 units to the left will given a resulting coordinate at X''''(10, 1), Y''''(-4, 15) and Z''''(4, 19)
Learn more on transformation here:
https://brainly.com/question/4289712
Each passenger on an airplane can take two suitcases, and each suitcase can
weigh no more than 50 pounds. If there are 120 passengers and each passenger
takes the maximum weight of luggage allowed, how many tons of luggage will
there be on the plane?
Answer:
6 tons
Step-by-step explanation:
So we know there are 120 passengers. If they all take the limit, which is 50 pounds each, we can multiply the 2 figures to get 120*50=6000 pounds. Since the question is asking us to answer in tons, we must convert 6000 pounds into tons. We can do this by using the convertion factor of 2000 lbs = 1 ton. With this logic, 6000 pounds equals 3 tons. But remember, each passenger can take 2 luggages. So just multiply by 2 to get 6 tons!
I hope this helped!
Please mark brainliest! I really need it. It would be very much appreciated.
Solve this problem
need fast
[tex] {6}^{x + 3} = \sqrt{6} [/tex]
Answer:
x=-5/2
Step-by-step explanation:
Hi there!
We are given the following equation:
[tex]6^{x+3} = \sqrt{6}[/tex]
We want to find the value of x
This is an exponential equation. In order to find the value of x, we need to make sure that both sides of the equation are at the same bases before we solve the equation
On the left side, we have 6 (the base) raised to the power of x+3
On the right, we have √6
Here's a trick to make this problem easier: the square root of a number is equal to that number, raised to the power of 1/2. In other words, √a is equal to [tex]a^\frac{1}{2}[/tex]
Therefore, √6 is equal to [tex]6^\frac{1}{2}[/tex]
Rewriting the equation then:
[tex]6^{x+3}=6^\frac{1}{2}[/tex]
Both sides have the same base (6)
Now we can solve the equation for x. Simply take what the exponents are, and then set them equal to each other.
This means:
x + 3 = 1/2
Subtract 3 from both sides
x+3=1/2
-3 -3
___________
x = -5/2
Hope this helps!
For what value(S) of K will the quadratic function f(x)=3x^2+4x+k have two zeros?
PLEASE HELP!
Andrew is flying a kite. The angle of elevation of the kite varies between 56° and 60°.
Andrew has let out 15 m of string on the kite. Draw a picture to model this situation.
Then, determine the minimum and maximum heights of the kite. Round the heights
to the nearest hundredth.
Minimum=
Maximum=
The maximum height of the kite is 13 meters while the minimum height is 12.44 meters.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let h represent the height of the kite. Hence:
At an angle of 56°, the height is:
sin(56) = h/15
h = 12.44 m
At an angle of 60°, the height is:
sin(60) = h/15
h = 13 m
The maximum height of the kite is 13 meters while the minimum height is 12.44 meters.
Find out more on equation at: https://brainly.com/question/1214333
Which is more, 662 feet or
1
8
of a mile?
Answer:
the answer is 662 feet
Step-by-step explanation:
becuase one eighth of a mile is 660 feet
Will give brainliest if correct
Two large numbers of the Fibonacci sequence are F(49) = 7,778,742,049 and
F(50) = 12,586,269,025. If these two numbers are added together, what
number results?
O A. F(54)
O B. F(51)
O C. F(52)
D. F(99)
SUBMIT
F(51)
===========================================================
Explanation:
The very large numbers are likely put there as a distraction. They aren't needed. Adding any two adjacent Fibonacci numbers will lead to the next term in the sequence. This is simply based on how the special number sequence is defined or set up.
This means F(49)+F(50) = F(51) i.e. adding the 49th and 50th terms will generate the 51st term.
In general,
F(n) + F(n+1) = F(n+2)
where n is a positive integer.
PLS hurry, can't figure out this question,:
What is half of 2 1/4* a cup
* 2 1/4 is a fraction
Answer:
1 1/8
Step-by-step explanation:
One half of 2 cups is 1 cup
One half of 1/4 cup is 1/8 cup
Answer = 1 + 1/8 = 1 1/8 cup
Another method
2 1/4 = (4×2+1)/4 = 9/4
Half of 9/8 = 1 1/8
Answer:
half of 2 1/4 as a fraction is 1 1/8
Need help. I don't understand how I work out the points to solve the equation. Help please, thanks.
Answer:
First u get the Y by itself then you read the less than or equal to or greater than or equal to.
Step-by-step explanation:
hope it helps
Can anyone help me with my homework?
The product of a number and 3 is equal to the sum of the number and 12.
Enter the total weight of the Cruise Ship 38300000 ( kilograms) using ONLY 10^{7} kilogram weights.
Answer:
38300000 can be written as 3.83 x 10⁷
Answer:
3.83 x [tex]10^{7}[/tex]
Step-by-step explanation:
38300000/ [tex]10^{7}[/tex] = 3.83
3(x+ 7) = -12
x + 7 =
X =
Answer:
x = - 11
x + 7 = -4
Step-by-step explanation:
[tex]3(x + 7) = - 12 [/tex]
Multiply each term in parentheses by 3
[tex]3x + 3 \times 7 = - 12[/tex]
Multiply 3 and 7
[tex]3x + 21 = - 12[/tex]
Move the constant to the right side and change the sign
[tex]3x = - 12 - 21[/tex]
Find the sum of negative numbers
[tex]3x = - 33[/tex]
Divide both side by the same number
[tex]x = - 11[/tex]
= x + 7
= -11 + 7
Add the term - 11 + 7
= -4
Hey ! mate
Answer:
x + 7 = -4x = -11Step-by-step explanation:
In this question we have given an equation that is 3( x + 7 ) = -12 and we have asked to find the value of x + 7 and x .
We are starting our solution from here :
[tex] \longmapsto \: 3( x + 7 ) = -12 [/tex]
Transposing 3 to right hand side :
[tex] \longmapsto \: x + 7 = \frac{ - 12}{3} [/tex]
Now , dividing -12 by 3 :
[tex] \longmapsto \: \blue{\boxed{x + 7 = -4}}[/tex]
Therefore , value of x + 7 is - 4 .Now ,
[tex] \longmapsto \:x + 7 = - 4[/tex]
Transposing 7 to right hand side :
[tex] \longmapsto \:x = - 4 - 7[/tex]
[tex] \longmapsto \: \blue{ \boxed{x = - 11}}[/tex]
Therefore , value of x is -11 .#Keep LearningWhat are the formulas and steps to solve Area of composite figures
Answer:
28 in2
Step-by-step explanation:
2×2÷2 + 2×2÷2 + 4×6
2in square +
2in square +
24in square=
28in squarr
The for formula for finding the area of a triangle is width times length divided by 2, and the formula for finding the area of a square is width times length.
Demarcus has to wrap a gift for his friend's birthday party. the gift is in a rectangular box with the dimensions shown below. he's trying to figure out how much gift wrap he needs to cover the entire box. should he calculate the total surface area or the lateral surface area? pick the right measurement and then calculate it for him. in your answer, specify whether he should use total surface area or lateral surface area. calculate the one you choose, give that measurement of the box, and then explain how you calculated it. grade 5 mathematics item specification c1 ti
The gift wrap needed by Damarcus = total surface area of a rectangular box = 1,048 in.².
What is the Total Surface Area of a Rectangular Box?Total surface area (TSA) = 2(wl+hl+hw), where:
l = lengthw = widthh = height of the box.The amount of gift wrap needed to cover the whole box = total surface area of the rectangular box
l = 20 in.
w = 8 in.
h = 13 in.
Plug in the values into the formula for total surface area of a rectangular box:
TSA = 2(8×20 + 13×20 + 13×8)
TSA = 1,048 in.²
Therefore, the gift wrap needed by Damarcus = total surface area of a rectangular box = 1,048 in.².
Learn more about rectangular box on:
https://brainly.com/question/13103197
I don't get this I need help?
Answer: 864
Step-by-step explanation:
The formula is 4/3 pie radius ^3 but since it says 3 just use three. Now the radius is 6. So you do 4/3 times 3 times 6^3 and you get 864. I hope this helps.
