Answer:
Interest rate is a proportion of a loan rewarded as interest to the borrower, usually expressed as an annual percent of the current loan.
Answer:
See below
Step-by-step explanation:
An interest rate is basically a percentage of principal charged by the lender for the use of its money, and it is paid via simple interest (usually in an annual period). That principal is the amount of money loaned.
For example, you may have seen a 1.5% annual interest rate, or something like that. This means that if your principal was $5000, let's say, you would have to pay $5000 * 0.015 = $75 in interest per year.
find the surface area of the rectangular prism
Answer:
that is cuban that answer is easy (200)=1902
A rancher raises 5 times as many cows as horses. If he has 132 animals
let x = horses
5x = cows
x + 5x = 132
6x = 132
Divide both sides by 6
X = 22
he has 22 horses and 110 cows
There are 22 horses and 110 cows.
What is an equation?"It is a mathematical statement which consists of equal symbol between two mathematical expressions."
For given question,
Let 'c' represents the number of cows and 'h' represents the number of horses.
A rancher raises 5 times as many cows as horses.
So, we get an equation,
⇒ c = 5 × h .................(i)
There are 132 animals.
So, we get an equation,
⇒ c + h = 132 ..................(ii)
Substitute the value of c = 5h in equation (ii)
⇒ c + h = 132
⇒ 5h + h = 132
⇒ 6h = 132
⇒ h = 22
This means, there are 22 horses.
Substitute the vale of h in equation (i),
⇒ c = 5 × h
⇒ c = 5 × 22
⇒ c = 110
This means, there are 110 cows.
Therefore, there are 22 horses and 110 cows.
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The gates of an amusement park are closely monitored to determine whether the number of people in the amusement park ever poses a safety hazard. On a certain day, the rate at which people enter amusement park is modeled by the function e(x)=0.03x^3+2, where the rate is measured in hundreds of people per hour since the gates opened. The rate at which people leave the amusement park is modeled by the function l(x)=0.5x+1, where the rate is measured in hundreds of people per hour since the gates opened. What does (e−l)(4) mean in this situation?
The meaning of (e−l)(4) in this situation is that there are 92 people in the amusement park 4 hours after the gates open.
How to explain the value?e(x) = 0.03x³ + 2
l (x) = 0.5x + 1
Therefore, ( e - l) = [ .03x^3 + 2 ] - [ .5x + 1 ] will be:
= 0.03x³ - 0.5x + 1
Therefore, (e - l ) (4) = 0.03(4)³ - 0.5(4) + 1 = 92
Therefore, it means that 4 hours after the park opens, the rate that the number of people is changing is 92 people per hour
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i need help thanks11!1!1!1!1!1
Answer:
A
Step-by-step explanation:
Paper clips: a) one box of 100 for $0.38 or b) five-pack of 100 each for $1.27.
Answer:
b)
Step-by-step explanation:
because there will be more
EASY 20 POINTS What is the domain of the exponential function shown below?
Answer:
It's all real numbers except whatever makes the expression undefined
Step-by-step explanation:
(−∞,∞)
Answer:
All real numbers
Step-by-step explanation: (−∞,∞)
Help, forgot how to do this, and need to answer asap
Answer:
(a)12
(b)28
(c)1
Step-by-step explanation:
the dots on the plot for a and b and for c It's almost exactly a whole hour decrease of HW a student is likely to do for every extra hour a student watches TV
which is the correct domain and range for this graph?
Answer: B
Step-by-step explanation:
The domain is the set of x values, and the range is the set of y values.
ABC Corp. has 2,000 bonds outstanding with a $1,000 face value, an 9 percent coupon, 8 years to maturity, annual interest payments, and sells at $1,105.38. The firm also has 40,000 shares of common stock outstanding at a market price of $85 a share and a beta of 0.67. The risk-free rate is 4 percent, the market return is 15 percent, and the tax rate is 20 percent. What is WACC?
The value of WACC is 6.72%
what is WACC?WACC is calculated by multiplying the cost of each capital source (debt and equity) by its relevant weight by market value, and then adding the products together to determine the total.
WACC=[(Market value of Equity*cost of equity+ Market value of Debt* post tax cost of debt)/(Market value of Equity+ Market value of Debt)]
Market value of Equity= 40,000*$85=$3,400,000
Cost of equity=Risk free return+ Beta equity*market retrun
=4 +0.67*15
=7.35
Market value of Debt
=2000*1105.38
=2,210,760
Post tax rate of debt
=9*80(1-20)
=0.0576= 5.76%
WACC= [$3,400,000* 7.35+ 2,210,760 * 5.76%]\ $3,400,000+2,210,760
=6.72%
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Which of the following is a logical conclusion to the conditional statements
below?
If it is a hamburger, then it is a sandwich.
If it is a sandwich, then it can be held in your hands.
Answer:
If it is a hamburger, it can be held in your hands.
Step-by-step explanation:
If f(x) = ex and g(x)=x-4, what is (gof)(x)?
[tex](g\circ f)(x)\\\\=g(f(x))\\\\=g(x-4)\\\\=e^{x-4}[/tex]
Part a Paula ran 3 1/4 kilometers. Omar ran 4,200meters. Who ran farther and by how much?
Part b what is the total number of centimeters Omar and Paula ran? Pls. Help
Omar ran farther than Paula by 950 meters. The total distance covered by Omar and Paula is 745000 centimeters.
What is the conversion of a unit?The conversion of a unit from one dimension to another takes a standard approach. Here, we will be looking at conversion from kilometers and meters and meters to centimeters.
Given that:
Paula ran 3 1/4 kilometers = (13/4 × 1000) meters = 3250 metersOmar ran 4200 metersThus, It implies that Omar ran farther than Paula by 950 meters.
The total number of distance covered = (3250+ 4200) meters
= 7450 meters
= 745000 centimeters.
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I need help please anyone ?!!!
the cost of catering a dinner is $11.95 per person plus a $25 for delivery and setup . which statement is true about the graph of the function the represents the average cost per person
Answer:
45.98
Step-by-step explanation:
there ya go I did this before so I know the correct answer
On a coordinate plane, a straight red line with a negative slope, labeled g of x, A graph shows the number of texts, numbered 10 to 100, on the x-axis, and the total cost in dollars, numbered 3 to 27, on the y-axis. A straight red line with a positive slope, labeled Emilia, begins at (0, 10), and a straight blue line with a positive slope, labeled Hiroto, begins at (0, 20). Both lines intersect at point (50, 22.5).
Hiroto’s texting plan costs $20 per month, plus $0.05 per text message that is sent or received. Emilia’s plan costs $10 per month and $0.25 per text. Using the graph below, which statement is true?
Hiroto’s plan costs more than Emilia’s plan when more than 50 texts are sent.
Both plans cost the same when 22 texts are sent.
Emilia’s plan costs more than Hiroto’s plan when more than 22 texts are sent.
Both plans cost the same when 50 texts are sent.
Answer: Both plans cost the same when 50 texts are sent.
Step-by-step explanation:
When x=50 (meaning 50 texts are sent), the y coordinate (which represents the cost) is the same.
18. Identify the constant term in the algebraic expression
*
A.-1
B. 1
C. -2
D. 2
Answer:
A.-1 is the constant termConstant term of an algebraic expression: A term of an algebraic expression which has a fixed numerical value in all situations and does not have any variable is called the constant term of an algebraic expression.
For examples, in the algebraic expression 5x + 2y + xy + 10, 10 is the constant term of the expression. therefore from the above algebraic expression 2x²+x-1, -1 will be the constant term
6/(x^2-3x)=12/x+1/(x-3) with full expanation from the internet
Answer:
[tex]x=\dfrac{42}{13}[/tex]
Step-by-step explanation:
Given equation:
[tex]\dfrac{6}{(x^2-3x)}=\dfrac{12}{x}+\dfrac{1}{(x-3)}[/tex]
Factor the denominator on the left side:
[tex]\implies \dfrac{6}{x(x-3)}=\dfrac{12}{x}+\dfrac{1}{(x-3)}[/tex]
Combine the fractions on the right side by multiplying by the LCM:
[tex]\begin{aligned}\implies \dfrac{6}{x(x-3)} & =\dfrac{12}{x} \cdot \dfrac{(x-3)}{(x-3)}+\dfrac{1}{(x-3)} \cdot \dfrac{x}{x}\\\\& =\dfrac{12(x-3)}{x(x-3)}+\dfrac{x}{x(x-3)}\\\\& =\dfrac{12(x-3)+x}{x(x-3)} \end{aligned}[/tex]
As the denominators are now the same on both sides:
[tex]\begin{aligned}\implies \dfrac{6}{x(x-3)} & =\dfrac{12(x-3)+x}{x(x-3)}\\\\ \implies 6 & = 12(x-3)+x\end{aligned}[/tex]
Simplify and solve for x:
[tex]\begin{aligned}\implies 6 & = 12(x-3)+x\\\\6 & =12x-36+x\\\\6 & =13x-36\\\\13x & =42\\\\\implies x & =\dfrac{42}{13}\end{aligned}[/tex]
Find the solution to the equation:
-13 + 5a = 3(a - 3)
Answer:
a=2
Step-by-step explanation:
-13 + 5a = 3a -9 Distribute 3 through the parentheses
-13 + 5a - 3a = -9 Move the variable to the left hand side and change the sign
2a= -9 + 13 collect like terms
2a=4 Divide both sides by 2
a=2
Graph (x-2)^2 + (y-1)^2 = 9
Step-by-step explanation:
Given the following question:
[tex](x-2)^2+(y-2)^2=9[/tex]
First thing we need to keep in mind is the fact that this graph is indeed a circle. We know this because we are adding two cubic roots to each other which makes the graph a circle. We know the two separate functions are cubic roots because they each have an exponent of two. Not only is this function whose graph is a circle, but the midpoint of this circle is (2,2).
Hope this helps.
Question. 1 :
In ∆ ABC, right-angled at B, AB = 24 cm, BC = 7 cm. Question
2.
If Sin A = 3/4, Calculate cos A and tan A.
AB= 24cm
BC = 7cm
<B = 90°
AC = ?
Using Pythagoras theorem :-AC^2 = AB^2 + BC ^ 2
AC^2 = 24^2 + 7^2
AC^2 = 576 + 49
AC^2 = √625
AC = 25
Answer to Question 2 :-sin A = 3/4
CosA = ?
TanA = ?
SinA = Opp. side/Hypotenuse = 3/4(Construct a triangle right angled at B with one side BC of 3cm and hypotenuse AC of 4cm.)
Using Pythagoras theorem :-AC^2 = AB^2 + BC ^ 2
4² = AB² + 3²
16 = AB + 9
AB = √7cm
CosA = Adjacent side/Hypotenuse= AB/AC
= √7/4
TanA= Opp. side/Adjacent side=BC/AB
= 3/√7
Evaluate the expression 3.2-4
Answer: -0.8
Step-by-step explanation:
3.2 - 4 = -0.8
Steve is a single man whose salary is $92,000 per year. Based on the tax table
below, how much does he need to contribute to his employer's 401(k) in order to
fall in a tax bracket lower than the one he is currently in?
The amount that he needs to contribute to his employer's 401(k) in order to fall in a tax bracket will be $9750.
How to calculate the tax?From the information given, Steve is a single man whose salary is $92,000 per year. Based on the tax table below, the amount that he needs to contribute to his employer's 401(k) in order to
fall in a tax bracket will be:
= $92000 - $82250
= $9750
Therefore, the amount is $9750
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12 / 3 + 6 x 2? can anyone help?
Answer:
16
Step-by-step explanation:
12 divided by 3 = 4 and 6*2 = 12
12+4=16
The value of this answer is 16
To solve this expression, we will apply the properties of mathematical operations.
- First, we multiply or divide
- Second, we subtract or add
Resolution
12/3 + 6 x 2
4 + 6 x 2
4 + 12
16
So, the correct value is 16
Determine a matriz x sabendo que:
(1 5) * X ( 6 8)
Answer:
es esta 1/5 y 6/8 o 15 y 68?
Solve for x in the triangle. Round your answer to the nearest tenth.
X
9
64°
Answer:
x = 23.0
Step-by-step explanation:
To solve, you have to make the equation:
[tex]cos(64)=\frac{9}{x}[/tex]
Now multiply x to both sides:
[tex]cos(64)*x=9[/tex]
Next divide both sides by cos(64):
[tex]x=\frac{9}{cos(64)}[/tex]
x = 22.9675486404
Round to the tenth:
x = 23.0
Hope it helps and have a nice day!
E Homework: 3.1 Homework
Evaluate the function f(z) = 3z-8 at the indicated values.
a) Find f(-4).
1
b) Find f
2
c) Find f(z-7).
a) f(-4)=
(Simplify your answer. Type an integer or a simplified fraction.)
THINGS
Replace z with the number inside the parenthesis:
f(z) = 3z-8
a. 3(-4) - 8 = -12-8 = -20
b. 3(1/2)-8 = 1 1/2 - 8 = -6 1/2
c. 3(z-7) - 8 = 3z-21-8 = 3z-29
Which grid shows the product of 0.3 x 3?
Answer:
third grid
Step-by-step explanation:
.3×3=.9, as that is just .3 + .3 + .3
The third grid has 9/10 boxes colored, which is the same as .9
Hope this helps! :)
The table represents a linear function.
X
y
-4
-2
-2
-10
-1
-14
1
-22
2
-26
What is the slope of the function?
O-8
0-4
02
05
Answer:
-4
Step-by-step explanation:
Consider (-4, -2) and (-2, -10).
Change in x: 2
Change in y: -8
Slope = (change in y)/(change in x) = -4
The slope of the function is -4.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Let us take two points from the table
(-4, -2) and (-2, -10)
Slope = -10+2/-2+4
=-8/2
=-4
Hence, the slope of the function is -4.
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Subtract -2x-10from 10x^2+3
Answer:
10x^2+2x+13
Step-by-step explanation:
10x^2+3 - (-2x-10)
10x^2+3 +2x+10
10x^2+2x+13
What is the exact value of cos (7pi/8)
Answer:
The bottom one ....see below
Step-by-step explanation:
Using reference angle of pi/8 and half angle trig identity:
cos ( angle/2) = -sqrt (1 + cos (angle) /2)
cos ( pi/4 / 2) = - sqrt (1+ cos ( pi/4)/2)
cos (pi/8) = - sqrt (1 + sqrt (2) / 2)
= - sqrt (1 + sqrt 2) / sqrt 2 rationalize the denominator
= - sqrt ( sqrt 2 + 2) / 2
re arrange to
- sqrt ( 2 + sqrt2) / 2 the fourth answer