The balance after the grace period is $25,000. A payment of $5,000 is made on the 10th day. A payment of $5,000 is made on the 20th day. What is the average daily balance?
The average daily balance after 20 days is; $1750
Average BalanceThe initial balance after grace period is; $25,000
Afterwards, A payment of $5,000 each is made on the 10th and 20th day.
Hence, the total balance after 20 days is;
= $25,000 + $5000 + $5000= $35,000.The average daily balance is therefore the quotient of $35,000 and 20 days
The average daily balance = $35,000/20Average daily balance = $1750Read more on average;
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Is (-3-2c)/(-3) the same as (2c+3)/(3)??
(I believe they are the same, but just checking.)
Answer:
Yes, they're the same.
Step-by-step explanation:
-3-2c can be re-written as -1(2c+3) and -3 can be re-written as -1(3). So you can rewrite the fraction as -1(2c+3)/-1(3). The -1's go away and the new fraction is (2c+3)/3.
IM MARKING BRAINLEIST SO PLS BE QUICK IS DUE IN MINS
Answer:
x^2y−7xy+10xy^2
Step-by-step explanation:
(the first y isn't up but I tried)
anyways, hope this helped! :)
Answer:
[tex]4x^2y-7xy+10xy^2[/tex]
Step-by-step explanation:
We have [tex]\left(6x^2y-8xy+7xy^2\right)+\left(3xy^2-2x^2y+xy\right)[/tex] and need to add them together.
Though complicated at first, we can simplify by taking out the parenthesis and making this whole question into one equation.
[tex]\left6x^2y-8xy+7xy^2\right+\left3xy^2-2x^2y+xy\right[/tex]
Now combine like terms, meaning you can only add the terms that have the same ending, in math, you cannot add numbers that have different exponents or variables.
Therefore:
[tex]\left6x^2y-8xy+7xy^2\right+\left3xy^2-2x^2y+xy\right[/tex]
[tex]6x^2y-2x^2y-8xy+xy+7xy^2+3xy^2[/tex]
[tex]4x^2y-7xy+10xy^2[/tex]
Laurie is trying to stay within 10 feet of her current diving depth of -30 feet (with regard to sea level) so that the light
is still good but she can be close to the sea life during her scuba dive. Which two equations can be used to find the
minimum and maximum depths Laurie wants to stay between?
-30 - x = 10 and -30 - x = -10
-30 + x = 10 and -30 + x = -10
x + 10 = 30 and x + 10 = -30
O X - 10 - 30 and x - 10 = -30
Answer:
I believe it's the 1st one.
HOPE IT HELPS! BE SAFE :3
Answer:
A
Step-by-step explanation:
Use the distributive property to remove the parentheses.
(v + 10)7
Answer:
7v+70
1v x 7=7v
10 x 7=70
Step-by-step explanation:
Sorry if wrong!
Answer:
the answer is
7v + 70
2) Choose the best answer.
Find the volume of this terrarium. You may use a calculator to find the answer.
l = 5 m, w = 1 m, h = 3 m
A. 30 m2
B. 15 m3
C. 5 m2
D. 7.5 m3
E. 9 m3
p
Pelz I really really need help:(
Answer:
B. 15 m^3
Step-by-step explanation:
The volume of a rectangular prism is the product ...
V = lwh
For the given values of l, w, h, the volume is ...
V = (5 m)(1 m)(3 m) = 15 m^3
A line passes through the point (-9,-4) and has a slope of -2/3 . write an equation in slope intercept form for this line
Answer:
[tex]y=-0.667x+-10[/tex]
Step-by-step explanation:
Given the following question:
Point A = (-9, -4), (x1, y1)
Point B = (-6, -6), (x2, y2)
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{-6--4}{-6--9} =\frac{-2}{3}[/tex]
[tex]m=\frac{-2}{3}[/tex]
Write in slope intercept form:
[tex]y=mx+b[/tex]
[tex]m=\frac{-2}{3}=-2\div3=-0.667[/tex]
[tex]y=-4[/tex]
[tex]x=-9[/tex]
[tex]-4=-0.667\times-9+b[/tex]
[tex]-0.667\times-9=6[/tex]
[tex]b=-10[/tex]
[tex]y=-0.667x+-10[/tex]
Hope this helps.
Three friends each bought matching necklaces and one pair of earrings. The necklaces were priced at $30.00. If the total bill for all 3 friends was $180.00, what was the price of one pair of earrings?
A rational number between 11 and 12
Answer:
it would be 23/2
Step-by-step explanation:
Answer:
11.5
Step-by-step explanation:
A rational number is one that does not repeat.
What is the volume of the sphere in cubic centimeters?
Possible answers:
A. 201
B. Not enough information is given to calculate this volume
C. 1608
D. 2144
Answer:
D. 2144.6
Step-by-step explanation:
volume of a sphere is 4/3 * pi * r^3
we've been given the value of our radius as 8 and also the value for pi is 3.142 so in you solve using the formula you get 2144
[tex]\\ \rm\Rrightarrow V=4/3\pi r^3[/tex]
[tex]\\ \rm\Rrightarrow V=4/3\pi (8)^3[/tex]
[tex]\\ \rm\Rrightarrow V=4/3\pi 512[/tex]
[tex]\\ \rm\Rrightarrow V=170.6(4)\pi[/tex]
[tex]\\ \rm\Rrightarrow V=682.4cm^3[/tex]
identify the trinomial that is not a perfect square
Answer: To test whether the given trinomial is a perfect square, we should try to write the trinomial in the form of a² + 2ab + b² (or) a² - 2ab + b² If we are able to write the given trinomial in the above form, then it is perfect square. Otherwise the given trinomial is not a perfect square.
Step-by-step explanation:
find the domain of
- y/(y-6) +15/(y+6)
- y-10/y^2+3
Answer:
Step-by-step explanation:
Domain of a function represents the set of x-values (input values) and y-values (output values) of the function represent the Range of the function.
Given function is,
If Domain (input values) of this function is,
{-12, -6, 3, 15}
Table for the input-output values of this function,
x -6 3 15 -12
y 11 5 -3 15
the sum of ten times a number and 12
Answer:it’s 10x + 12
Step-by-step explanation:
your welcome
The sum of ten times a number and 12 can be written as 10x + 12.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The expression "ten times a number" can be represented as 10x, where x is the number.
So, "the sum of ten times a number and 12" can be written as:
10x + 12
This expression represents a mathematical operation where 10 times the number is added to 12.
Thus,
The sum of ten times a number and 12 can be written as 10x + 12.
Learn more about expressions here:
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A tray of cake samples contains a variety of flavors.
vanilla 25
strawberry 1
lemon 2
red velvet 3
chocolate 2
What is the probability that a randomly selected piece of cake will be red velvet?
Write your answer as a fraction or whole number.
Answer: 1/11
Step-by-step explanation:
The probability that the selected piece will be red velvet is equal to the amount of red velvet cake divided by the total amount of cake.
Therefore, it would be 3/(25+1+2+3+2)
= 3/33
= 1/11 when simplified
PLS HELP 30 POINTS
Find the area of the composite figure.
Answer:
104 m²
Step-by-step explanation:
From inspection of the diagram, we can see that the composite figure is made up of a triangle and a rectangle.
Triangle
If you turn the figure 90° clockwise, you will see that the base of the triangle = 8m and the height of the triangle = 6m.
Area of a triangle = 1/2 x base x height
⇒ area of the triangle = 1/2 x 8 x 6 = 24 m²
Rectangle
From inspection, the length of the rectangle = 10m and the width = 8m
Area of a rectangle = length x width
⇒ area of the rectangle = 10 x 8 = 80 m²
Composite figure area
Therefore the total area of the figure = area of triangle + area of rectangle
⇒ total area = 24 + 80 = 104 m²
Answer:
104 m^2
Step-by-step explanation:
See attached image.
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
14
Step-by-step explanation:
8×7=56
4×?=?
?= 56÷4
?= 14
Answer:
Divide the numerator by the denominator.
Step-by-step explanation:
if the average speed is 2.6km per hour and distance is 55km.What is the time?
Answer:
21.15 hrs
Step-by-step explanation:
I divided 55 by 2.6 to get the 21.15.
Have a good day!
What is the value of x?
TOSSING A NUMBER cube numbered from 1 to 6 and getting and even number that is greater that or equal to 2
Answer:
the probability is 3/5
Step-by-step explanation:
you have the numbers 2, 4, 6
and the numbers 3, 5
the 1 doesn't count, the question says numbers greater than or equal to 2
so, the remaining numbers add up to 3/5
I need help with these inequalities
3 rhombi are connected at a point, side by side. All sides are congruent. Juan is making a model out of rhombi. Each rhombus will be connected to the one before it. Each rhombus will be 6 inches tall and 4 inches wide. How much paper does he need for each rhombus? square inches If his wall is 11 feet long, how much paper does he use? square inches.
Rhombus has all sides equal. The total amount of paper that will be needed to cover the wall is 396 in².
Given to us
Each rhombus will be 6 inches tall and 4 inches wide.
A.)
The area of each rhombus can be found using the formula,
[tex]Area = \dfrac{1}{2} \times d_1 \times d_2[/tex]
We know that diagonals of the rhombus are of length 6 in and 4 in. therefore,
[tex]Area = \dfrac{1}{2} \times 6 \times 4\\\\Area = 12\ in^2[/tex]
Hence, the area of the single rhombus is 12 in².
We know that the wall is 11 feet long, also, 1 foot = 12 inches, therefore,
11 feet = 132 in.
Now, since the wall is 132 in long and the width of the rhombus is 4 in, therefore, the number of rhombi that will be needed,
[tex]\dfrac{132}{4} =33[/tex]
Hence, the number of rhombi that will be needed is 33.
We know the area of each paper rhombus, also, we know the number of rhombi that will be needed. Therefore,
[tex]33 \times 12 = 396\ in^2[/tex]
Hence, the total amount of paper that will be needed to cover the wall is 396 in².
Learn more about Rhombus:
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Answer:
3 rhombi are connected at a point, side by side. All sides are congruent.
Juan is making a model out of rhombi. Each rhombus will be connected to the one before it. Each rhombus will be 6 inches tall and 4 inches wide.
How much paper does he need for each rhombus?
✔ 12
square inches
If his wall is 11 feet long, how much paper does he use?
✔ 396
square inches
Step-by-step explanation:
egd
11. An astronaut travels 32 million miles to Mars, turns around and comes back the same way, ending up exactly where he started his trip. What is his displacement?
Answer:
0
Step-by-step explanation:
Since displacement is the distance between the journey starting point and the final point if they both are the same the difference becomes zero and hence the displacement.
Displacement = final point - initial point
(both are same)
= same - same
= 0
(3.4 x 10^-15) +(8.1 x 10^-14) help please, show work thank you
Answer:
see below
Step-by-step explanation:
1) Use Negative Power Rule: [tex]x^{-a} =\frac{1}{x^{a} }[/tex].
[tex]3.4x*\frac{1}{10^{15} } +8.1*x*10^{-14}[/tex]
2) Use Negative Power Rule: [tex]x^{-a} =\frac{1}{x^{a} }[/tex].
[tex]3.4x*\frac{1}{10^{15} } +8.1*x*\frac{1}{10^{14} }[/tex]
3) Use this rule: [tex]\frac{a}{b} *\frac{c}{d} =\frac{ac}{bd} .[/tex]
[tex]\frac{3.4x*1}{10^{15} }+8.1*x*\frac{1}{10^{14} }[/tex]
4) Simplify [tex]3.4x*1[/tex] to [tex](3.4)x[/tex].
[tex]\frac{3.4x}{10^{15} } +8.1*x*\frac{1}{10^{14} } }[/tex]
5) Use this rule: [tex]\frac{a}{b} *\frac{c}{d} =\frac{ac}{bd} .[/tex]
[tex]\frac{3.4x}{10^{15} } +\frac{8.1*x*1}{10^{14} }[/tex]
6) Simplify [tex]8.1*x*1[/tex] to [tex]8.1(x)[/tex].
[tex]\frac{3.4x}{10^{15} } *\frac{8.1*x}{10^{14} }[/tex]
when a number is increased by 9.5% the result is 58 what is the original number to the nearest tenth?
Answer:
53 i think
Step-by-step explanation:
find the radius of a cylinder with a volume 686mm2 and a height of 14mm
Answer:
r = 3.95 mm (nearest hundredth)
Step-by-step explanation:
[tex]\textsf{volume of a cylinder} = \pi r^2h[/tex]
(where r = radius and h = height)
Given, volume = 686 mm² and height = 14 mm:
[tex]686=\pi r^2\times14[/tex]
[tex]\implies\pi r^2=686 \div14=49[/tex]
[tex]\implies r^2=49 \div \pi[/tex]
[tex]\implies r=\sqrt{49 \div \pi }=3.949327085...[/tex]
[tex]\implies r=3.95 \ \textsf{mm}[/tex]
Sofia leans a 28-foot ladder against a wall so that it forms an angle of 67^ with the ground. How high up the wall does the ladder reach? Round your answer to the nearest hundredth of a foot if necessary.
Answer:
23.43 feet
Step-by-step explain
by my accurate accusations
0 = 5² - 2х + 6
a) x = 1 ± 3i / 2
b) x = 1 ± √11 / 5
c) x = 1 ± i √29 / 5
Answer:
c) x = 1 ± i √29 / 5
Step-by-step explanation:
assuming we are solving for x we can use the quadratic formula
quadratic formula : [tex]\frac{-b+or-\sqrt{b^2-4(a)(c)} }{2(a)}[/tex]
where the values of a,b and c are derived from the equation
the equation is put in quadratic form : ax² + bx + c
so in 5x² -2x + 6 a = 5 , b = - 2 and c = 6
we then plug these values of a, b and c into the quadratic formula
recall quadratic formula [tex]\frac{-b+or-\sqrt{b^2-4(a)(c)} }{2(a)}[/tex]
a = 5 , b = - 2 , c = 6
[tex]\frac{-(-2)+or-\sqrt{(-2)^2-4(5)(6)} }{2(5)}[/tex]
remove parenthesis at -(-2) to get positive 2 because the negative signs cancel out
[tex]\frac{2+or-\sqrt{(-2)^2-4(5)(6)} }{2(5)}[/tex]
evaluate exponent
[tex]\frac{2+or-\sqrt{4-4(5)(6)} }{2(5)}[/tex]
multiply -4(5)(6)
[tex]\frac{2+or-\sqrt{4-120} }{2(5)}[/tex]
subtract 120 from 4
[tex]\frac{2+or-\sqrt{-116} }{2(5)}[/tex]
multiply 2 and 5
[tex]\frac{2+or-\sqrt{-116} }{10}[/tex]
because we cant have a negative square root we replace the negative sign with i (which equals -1 ) and add it to the outside of the square root
[tex]\frac{2+or-i\sqrt{116} }{10}[/tex]
we then simplify the radical
[tex]\frac{2+or-2i\sqrt{29} }{10}[/tex]
we then simplify the fraction
2/10 = 1/5 so both 2's cancel out
[tex]\frac{1+or-i\sqrt{29} }{10}[/tex]
the answer is C
What is the value of x in the figure below? In this diagram, ABD similar to CAD.
Answer:
x = [tex]\frac{25}{4}[/tex] so the answer is B
Step-by-step explanation:
help me with angle sum theorem please
Answer:
y = 55°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
100° is an exterior angle of the triangle , then
y + 45° = 100° ( subtract 45° from both sides )
y = 55°
what is the slope of the line???
Answer:
slope: 2 as we see, with every increase in x, y increase twice the more.
Step-by-step explanation:
we can can see the y-intercept at 1.so equation: y = 2x + 1The slope of the linear graph in the question obtained using the ratio of the rise and run of the line is 2.
Recall :
Slope = Rise / Run
From the graph :
Rise = y2 - y1 = 5 - (-1) = 5 + 1 = 6
Run = x2 - x1 = 2 - (-1) = 2 + 1 = 3
The slope of the graph can be expressed thus :
Slope = Rise / Run = 6 /3 = 2
Therefore, the slope of the line in the graph attached is 2