The amount of interest that's owed by Darius after 6 months will be $14
Principal = $500
Rate = 5.6%
Time = 6 months.
Based on the information given, the simple interest will be calculated as:
Simple Interest = PRT/100
Simple Interest = ($500 × 5.6 × 1/2) / 100
Simple Interest = $1400/100
Simple Interest = $14
Therefore, the amount of interest that's owed by Darius after 6 months will be $14
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What is the simplified form of each expression?
21. 2x + 5x + 4x
A. 11 + 3x
B. 7x
C. 11x
D. 7x + 4x
Answer:
C
Step-by-step explanation:
They all share a common variable so you can add them all together to get the simpliest form.
Suppose you obtain a 30-years fixed-rate mortgage for$100000 at a rate of 3%.
Answer:
yes
Step-by-step explanation:
Plllllwaaaaasseeee hellollll
Suppose you are given two quadrilaterals, ABCD EFGH. If the similarity ratio of ABCD to EFGH is 4:3, and it EH =
60, find AD
a. 45
0.90
b. 40
d. 80
Please select the best answer from the choices provided
B
Look at image^^^
Answer:
d. 80
Step-by-step explanation:
Similarity ratio of ABCD to EFGH = 4:3.
This implies that the ratio of AD to EH = 4:3
If EH = 60, then:
AD:60 = 4:3
AD/60 = 4/3
Multiply both sides by 60
AD = ⁴/3 × 60
AD = 80
Mae Ling earns a weekly salary of $325 plus a 7.5% commission
on sales at a gift shop. How much would she make in a work week if she sold
$5,800 worth of merchandise? Write in money format.
Answer:
$760
Step-by-step explanation:
Given data
weekly = $325
commission= 7.5%
if she sold $5,800 worth of merchandise
Her earnings will be
Week earning= base salary+ 7.5% of sales
Week earning= 325+ 7.5/100*5800
Week earning= 325+ 0.075*5800
Week earning= 325+ 435
Week earning= $760
Need help don’t know what to do I’m confused
An bakery chef wants to construct a pie graph to represent types of pies sold in November. He sold 700 pies, 350 of which were pumpkin ples The pumpkin ples represent how many degrees in the circle?
Answer:
[tex]180^{\circ}[/tex]
Step-by-step explanation:
Given that,
Total pies that sold = 700
Pumpkin pies = 350
We need to represent the degrees in the circle. It can be calculated as follows :
[tex]x=\dfrac{350}{700}\times 360\\\\x=180^{\circ}[/tex]
So, the pumpkin pies are represented by [tex]180^{\circ}[/tex].
Select two ratios equivalent to the ratio of white socks to brown socks. pls help
Answer:
Step-by-step explanation:
You have to do total ratio
that will give you 20/15
WORTH 30 POINTS *will give you brainliest*
Answer:
x = 3
Step-by-step explanation:
MN is exactly half of 6x + 2 (midpoint theorem)
2(2x + 4) = 6x + 2
4x + 8 = 6x + 2
-2x + 8 = 2
-2x = -6
x = 3
Evaluate the expression: (10) -3x (-2) +5
Answer:
-3x(-2)+15
Step-by-step explanation:
add the numbers
Write an equation to represent the measures of the angle
What is the GCF for the terms in the following expression?
[tex]15x + 30y - 10[/tex]
What is the factored expression?
hint: it will look something like this
[tex]4 (2x + 4y - 6)[/tex] this is not the answer!
Answer:
5 (3x + 6y - 2)
Step-by-step explanation:
GCF is 5. Sorry late response
Find two consecutive whole numbers that 54 lies between.
The two consecutive whole numbers that 54 lies between are 27 and 28, since 54 is greater than 27 and less than 28.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
To find two consecutive whole numbers that 54 lies between, we can start by dividing 54 by 2 and rounding down to the nearest whole number since we want two consecutive numbers that are less than and greater than 54:
54 ÷ 2 = 27
So the two consecutive whole numbers that 54 lies between are 27 and 28, since 54 is greater than 27 and less than 28.
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Can I get help on C plz
Answer:
the answer would be 6...
can anyone help me i dont understand this
15.
Using the grid below. indicate what four points
could be the vertices of a square..
Need help quick first person gets that brain award
i need help
(64-4) / 2-7^2
Answer:
-19
Step-by-step explanation:
60/2-7²
30-49
-19
NEED FAST HURRY
A candy store sells caramels and milk chocolate by the pound the table below shows the total cost in dollars for a pound of each type of candy the store sells
Caramels: $9.28
Milk Chocolate: $12.80
How much more is the cost for 1 3/4 pounds of milk chocolate than the cost for 1 3/4 pounds of caramels?
Answer:
$6.16
Step-by-step explanation:
Answer:
Caramels=$16.24
Milk chocolate=$22.40
All together= $29.04
Step-by-step explanation:
how to solve the volume formula for cylinders using pi
The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h . i think the answer is this
f(x)=x^4-5x^2-6x-10 is divided by x-3
Answer:
Step-by-step explanation:
STEP
1
:
10
Simplify ——
x
Equation at the end of step
1
:
10
((((x4)-(5•(x2)))-6x)-——)-3
x
STEP
2
:
Equation at the end of step
2
:
10
((((x4) - 5x2) - 6x) - ——) - 3
x
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using x as the denominator :
x4 - 5x2 - 6x (x4 - 5x2 - 6x) • x
x4 - 5x2 - 6x = ————————————— = ———————————————————
1 x
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
x4 - 5x2 - 6x = x • (x3 - 5x - 6)
Polynomial Roots Calculator :
4.2 Find roots (zeroes) of : F(x) = x3 - 5x - 6
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -6.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,3 ,6
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -2.00
-2 1 -2.00 -4.00
-3 1 -3.00 -18.00
-6 1 -6.00 -192.00
1 1 1.00 -10.00
2 1 2.00 -8.00
3 1 3.00 6.00
6 1 6.00 180.00
Polynomial Roots Calculator found no rational roots
Adding fractions that have a common denominator :
4.3 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x • (x3-5x-6) • x - (10) x5 - 5x3 - 6x2 - 10
———————————————————————— = ———————————————————
x x
Equation at the end of step
4
:
(x5 - 5x3 - 6x2 - 10)
————————————————————— - 3
x
STEP
5
:
Rewriting the whole as an Equivalent Fraction
5.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using x as the denominator :
3 3 • x
3 = — = —————
1 x
Checking for a perfect cube :
5.2 x5 - 5x3 - 6x2 - 10 is not a perfect cube
Trying to factor by pulling out :
5.3 Factoring: x5 - 5x3 - 6x2 - 10
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -6x2 - 10
Group 2: x5 - 5x3
Pull out from each group separately :
Group 1: (3x2 + 5) • (-2)
Group 2: (x2 - 5) • (x3)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
5.4 Find roots (zeroes) of : F(x) = x5 - 5x3 - 6x2 - 10
See theory in step 4.2
In this case, the Leading Coefficient is 1 and the Trailing Constant is -10.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,5 ,10
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -12.00
-2 1 -2.00 -26.00
-5 1 -5.00 -2660.00
-10 1 -10.00 -95610.00
1 1 1.00 -20.00
2 1 2.00 -42.00
5 1 5.00 2340.00
10 1 10.00 94390.00
Polynomial Roots Calculator found no rational roots
Adding fractions that have a common denominator :
5.5 Adding up the two equivalent fractions
(x5-5x3-6x2-10) - (3 • x) x5 - 5x3 - 6x2 - 3x - 10
————————————————————————— = ————————————————————————
x x
Polynomial Roots Calculator :
5.6 Find roots (zeroes) of : F(x) = x5 - 5x3 - 6x2 - 3x - 10
See theory in step 4.2
In this case, the Leading Coefficient is 1 and the Trailing Constant is -10.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,5 ,10
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -9.00
-2 1 -2.00 -20.00
-5 1 -5.00 -2645.00
-10 1 -10.00 -95580.00
1 1 1.00 -23.00
2 1 2.00 -48.00
5 1 5.00 2325.00
10 1 10.00 94360.00
Polynomial Roots Calculator found no rational roots
Final result :
x5 - 5x3 - 6x2 - 3x - 10
————————————————————————
x
$2.79 markdown 35% what is the answer?
Answer:
about 1.81
Step-by-step explanation:
Answer:
1.81?
Step-by-step explanation:
How many births occur among women under the age of 20?
Answer:
what do you mean?
Step-by-step explanation:
A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there is 50 mg/L of the material present and after 2 hours it is observed that the material has lost 10 percent of its original concentration, find (a) an expression for the concentration of the material remaining at any time.
Answer:
[tex]Q(t) = 50e^{-0.0527t}[/tex]
Step-by-step explanation:
A certain radioactive material is known to decay at a rate proportional to the amount present.
This means that the situation can be described by the following differential equation:
[tex]\frac{dQ}{dt} = -rQ[/tex]
In which r is the decay rate.
Solving the differential equation by separation of variables, we have that:
[tex]\frac{dQ}{Q} = -r dt[/tex]
Integrating both sides:
[tex]\ln{Q} = -rt + K[/tex]
In which K is the integrative constant.
Applying the exponential to both sides, to remove the ln, we get:
[tex]Q(t) = Ke^{-rt}[/tex]
In which K is the initial amount present.
Initially there is 50 mg/L
This means that [tex]K = 50[/tex].
After 2 hours it is observed that the material has lost 10 percent of its original concentration
This means that [tex]Q(2) = 0.9K[/tex]. So
[tex]0.9K = Ke^{-2r}[/tex]
[tex]e^{-2r} = 0.9[/tex]
[tex]\ln{e^{-2r}} = \ln{0.9}[/tex]
[tex]-2r = \ln{0.9}[/tex]
[tex]r = -\frac{\ln{0.9}}{2}[/tex]
[tex]r = 0.0527[/tex]
So
[tex]Q(t) = Ke^{-rt}[/tex]
[tex]Q(t) = 50e^{-0.0527t}[/tex]
64 + (5 ÷ 3) - 2^3
help me plz
Answer:
57.67
Step-by-step explanation:
64+1.67-8
65.67-8
57.67
Someone please help and thank you
Answer:
8:3
Step-by-step explanation:
The GCF of each of them is 8. Divide both of them by it you'll get the ratio
in equivalence the answer is 8 3
Domesticated animals were primarily valued for meat.
true or false
Answer:
False
Step-by-step explanation:
Hope this helps :)
Let R be the triangular region in the first quadrant with vertices at points (0,0), (a,0), and (0,b), where a and b are positive constants. Write dow the volume of the solid generated when region R is revolved about the x-axis?
Answer:
volume of the solid generated when region R is revolved about the x-axis is π ₀∫^a ( [tex]\frac{-b}{a}[/tex]x + b )² dx
Step-by-step explanation:
Given the data in the question and as illustrated in the image below;
R is in the region first quadrant with vertices; 0(0,0), A(a,0) and B(0,b)
from the image;
the equation of AB will be;
y-b / b-0 = x-0 / 0-a
(y-b)(0-a) = (b-0)(x-0)
0 - ay -0 + ba = bx - 0 - 0 + 0
-ay + ba = bx
ay = -bx + ba
divide through by a
y = [tex]\frac{-b}{a}[/tex]x + ba/a
y = [tex]\frac{-b}{a}[/tex]x + b
so R is bounded by y = [tex]\frac{-b}{a}[/tex]x + b and y =0, 0 ≤ x ≤ a
The volume of the solid revolving R about x axis is;
dv = Area × thickness
= π( Radius)² dx
= π ( [tex]\frac{-b}{a}[/tex]x + b )² dx
V = π ₀∫^a ( [tex]\frac{-b}{a}[/tex]x + b )² dx
Therefore, volume of the solid generated when region R is revolved about the x-axis is π ₀∫^a ( [tex]\frac{-b}{a}[/tex]x + b )² dx
The volume of the solid generated when region R is revolved about the x-axis is [tex]\frac{b^{5} }{3a^{2} }[/tex].
Equation of the line AB
[tex]y-0 = \frac{b-0}{0-a} (x-a)[/tex]
[tex]y = \frac{-b}{a} (x-a)[/tex]
What is the volume generated when a curve f(x) is generated about the x-axis?The volume generated when a curve f(x) is rotated about the x-axis in x∈(c,d) is given by:
[tex]V=\int\limits^d_c {y^2} \, dx[/tex]
So, the volume generated when line AB is rotated about the x-axis will be [tex]V=\int\limits^b_0 ({\frac{-b}{a} (x-a))^2} \, dx[/tex]
[tex]V=\frac{b^{5} }{3a^{2} }[/tex]
Therefore, the volume of the solid generated when region R is revolved about the x-axis is [tex]\frac{b^{5} }{3a^{2} }[/tex].
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One alloy is 2 parts iron and 3 parts silver and another alloy is 7 parts iron to 3 parts silver. How much of each should be combined to produce a 30 pound alloy that is one part iron to one part silver
Answer:
Let x be your first alloy
2/5x+7/10(30-x)=1/2(30)
4x+210-7x=150
3x=60
x=20
So, you need 20 lbs of the first alloy, and 10 parts of the second to make 30 lbs of half iron and half silver alloy
Answer:
20 pounds for first 10 for second.
Step-by-step explanation:
plz hurry
How many faces does the solid made from the net below have?
A shape has a pentagon base. There are 5 triangles on the sides.
5
6
10
15
Answer:
6
Step-by-step explanation:
I
did quiz.
The net of the solid is a plane shape, and The net of the solid is made from 6 faces
How to determine the number of faces?From the question, we understand that:
Sides = 5 trianglesBase = 1 pentagonSo, the number of faces is:
Face = Triangle + Pentagon
This gives
Face = 5 + 1
Face = 6
Hence, the net of the solid is made from 6 faces
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NOTE: Angles not necessarily drawn to size . what is x?
Answer: 45
Step-by-step explanation: 160-115= 45 you do this because the angles are across the vertex from each other.
Answer:
X=45
Step-by-step explanation:
Method 1 ( the long one)
So AED and CEB are vertical angles, that means that the are the same and have the same value.
So 115 plus x equal 160.
115 + x = 160
from there we just have to subtract 115 from both sides to get x by itself.
115 + x = 160
-115 -115
_________________
x=45
Method 2 (short one
If you know that those are vertical angles, then just subtract 115 from 160 and there you go. You get 45.