Answer:
a. V = $109,600 - $5,750(t)
b. $69,350
Step-by-step explanation:
a. The expression of the value of the bulldozer is as follows
V = $109,600 - (m) × (t)
where,
m = depreciation
t = time in years
Now the equation would be
$109,600 - 16(m) = $17,600
m = ($109,600 - $17,600) ÷ (16)
= $5,750
Now the expression would be
V = $109,600 - $5,750(t)
b. Now the value of the bulldozer is
= $109,600 - $5,750 × 7 years
= $109,600 - $40,250
= $69,350
A 14-ounce energy drink contains 42 teaspoons of sugar. How much sugar is one ounce of the drink?
Answer:
3 teaspoonsStep-by-step explanation:
14-ounce ⇒ 42 teaspoons of sugar14/14 ounce ⇒ 42/14 = 3 teaspoons of sugar1-ounce ⇒ 3 teaspoons of sugarNeed help ASAP it’s due at 12 tonight
Answer:
quarterly N = 4
semi-annually N = 2
Monthly N = 12
annually N = 1
Step-by-step explanation:
The number of compounding times per period for an investment is usually denoted as N in the compound interest formula:
A = P(1 + r/n)^nt
n = number of times in a year for which the amount is compounded :
Annually : compounding times = 1 = 12 /12
Semi annually (6 months) ; N = 12 /6 = 2
Quarterly ; (3 months) ; N = 12 /3 = 4
Monthly ; (12 months) ; N = 12 / 12 = 1
The external and the internal radius of a cylindrical pipe of length 50 cm are 3 cm and 2.6cm respectively. find the volume of material contained by the pipe
Answer:351.86 cc( approximately)
Step-by-step explanation:
The volume of the material = External volume - internal volume
= π3^2×50-π 2.6^2×50
=351.86
The volume of the material by the pipe is 351.86 cc.
What is the volume of a cylinder?The volume of a cylinder is equal to the product of the area of the circular base and the height of a cylinder. The volume of a cylinder is defined as the space occupied by the cylinder as the volume of any three-dimensional shape is the space occupied by it
V = πr²h
where 'r' is the radius of the base (circle) of the cylinder
'h' is the height of the cylinder
Given that the external and the internal radius of a cylindrical pipe are 3 cm and 2.6cm respectively
The length of the pipe is 50 cm
External volume = π(3)²×50 = 1413.71 cc
internal volume = π (2.6)²×50 = 1061.85
The volume of the material = External volume - Internal volume
The volume of the material = 1413.71 - 1061.85
The volume of the material = 351.86 cc
Learn more about the volume of cylinder here :
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Is (x-1) a factor of 2x3 - 15x2 + 22x + 15
Answer:
Step-by-step explanation:
If x - 1 is a factor of the cubic, then 1 should result in 0 when you put it in the cubic for x. Does it?
f(1) = 2(1)^3 - 15(1)^2 + 22(1) + 15
f(1) = 2 - 15 + 22 + 15
f(1)= 24.
No the result is not zero. So x - 1 is not a factor.
However there must be something that makes this cubic go to zero. The easiest way to find it is to graph it.
The numbers that do make this zero are -0.5, 3, 5
Which mean that the factors are (2x+1)(x-3)(x - 5)
Andy drove 840 miles in 12 hours. How much miles can he drive per hour?
Answer:
70
Step-by-step explanation:
840 / 12 = 70
O
If the sin 90° is 1, then the cos
(4 points
Answer:
What is the angle for cos, keep question clearly
If angle is 90° then answer is 0
Which of these is a ratio table?
Answer: last one
Step-by-step explanation:
It's the only one with a solid rate of change
Let p (x ) = x^3 - 3x^2 - 10x + 24. What is the remainder when p (x ) is divided by x - 1?
Answer:
The remainder is 12.
Step-by-step explanation:
The Polynomial Remainder Theorem
The remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).
We are given the polynomial:
[tex]p (x ) = x^3 - 3x^2 - 10x + 24[/tex]
And we are required to find the remainder when p(x) is divided by (x-1).
We can simply apply the polynomial remainder theorem, substituting x for 1 in the polynomial:
[tex]Remainder=p (1 ) = 1^3 - 3\cdot 1^2 - 10(1) + 24[/tex]
Remainder= 1 - 3 - 10 + 24 = 12
The remainder is 12.
The integer 4 is considered all of the following except _____.
a term
a constant
an expression
a variable
Answer:
variable
Step-by-step explanation:
variables are often expressed by letters
Consider the enlargement of the triangle and use the measurements to calculate the scale factor. 2 triangles have corresponding side lengths of 8 centimeters and 64 centimeters. Scale factor =
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Ed 2020
Find the retail price if original price is $65 and markdown is 12% is it 7.20 or 57
Answer:
The actual selling price is $58.04 and the markdown is $6.96
Hope this helps :)
The size of the hermit crab’s shell depends on
the size of the crab. Look at the table below. If a 2-inch hermit crab
grows 1 inch per year, use words to describe a rule that will show
how long a 2-inch crab will grow in x years. Write an expression to
find how large this crab will grow in x years.
Length 2 3 4 5 6 7 8 9 10 11 12 ■
Number of Years 0 1 2 3 4 5 6 7 8 9 10 x
Answer:
i. the length of the of the crab per year is greater than its number of years (x) by 2
ii. length = x + 2
Step-by-step explanation:
i. Given that the size of the hermit crab's shell depends on its size. And it grows 1 inch in a year, then it can be deduced that;
the length of the of the crab per year is greater than its number of years (x) by 2.
ii. To show how large the crab will grow in x years, the required expression that would describe the relationship between the length and years (x) of the crab is:
length = x + 2
lim x → 0, 1, 2,.., x,....
where x is the number of years
Therefore in x years, the length of the crab would be equal to x + 2.
What is the determinant of A={-2 2 -5
{4 -1 -2 }
{ 1 3 -5
Answer:
[tex]A' = -51[/tex]
Step-by-step explanation:
Given
[tex]A = \left[\begin{array}{ccc}-2&2&-5\\4&-1&-2\\1&3&-5\end{array}\right][/tex]
Required
Determine the determinant of A (A')
If
[tex]A = \left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right][/tex]
Then,
[tex]A' = a(e*i - f * h) - b(d * i - g * f) + c(d * h - e * g)[/tex]
So:
The determinant of [tex]A = \left[\begin{array}{ccc}-2&2&-5\\4&-1&-2\\1&3&-5\end{array}\right][/tex] is
[tex]A' = -2(-1 * -5 -(-2)*3) -2(4 * -5 -(-2) * 1) -5(4 * 3- (-1) * 1)[/tex]
[tex]A' = -2(5 +6) -2(-20 +2) -5(12 + 1)[/tex]
[tex]A' = -2(11) -2(-18) -5(13)[/tex]
[tex]A' = -22 +36 -65[/tex]
[tex]A' = -51[/tex]
Hence, the determinant is -51
PLEASE HELP ME!!!!!!!!!!!!!
Charlie saves $2 for every $9 he earns. Melody saves $4A for
every $12 she earns. Is Charlie's ratio of money saved to money
earned equivalent to Melody's ratio of money saved to money
earned? Explain.
Answer:
They are the same.
Step-by-step explanation:
Dominic is deciding between two different movie streaming sites to subscribe to. Plan A costs $27 per month plus $3 per movie watched. Plan B costs $35 per month plus $1 per movie watched. Let
A
A represent the monthly cost of Plan A if Dominic watches
x
x per month, and let
B
B represent the monthly cost of Plan B if Dominic watches
x
x movies per month. Write an equation for each situation, in terms of
x
,
x, and determine the interval of movies watched,
x
,
x, for which Plan A is cheaper than Plan B
A wholesale club sells eggs by the dozen. write an eqaution that relates the total cost of eggs (y) to the number of dozens of eggs (x)
Dozen Cost ($)
6 21
8 28
10 35
14 49
Answer:
[tex]y = 3.5x[/tex]
Step-by-step explanation:
Required
Determine the equation
First, pick corresponding x and y values
[tex](x_1,y_1) = (6,21)[/tex]
[tex](x_2,y_2) = (14,49)[/tex]
Next, calculate the slope
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
This gives:
[tex]m = \frac{49 - 21}{14 - 6}[/tex]
[tex]m = \frac{28}{8}[/tex]
[tex]m = 3.5[/tex]
The equation is then calculated using:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 21 = 3.5(x - 6)[/tex]
[tex]y - 21 = 3.5x - 21[/tex]
Add 21 to both sides
[tex]y - 21+21 = 3.5x - 21+21[/tex]
[tex]y = 3.5x[/tex]
Express (-3+2i)(-6 - 8i) in a + bi form.
The a + bi form of the given expression is 34-36i
What is complex numbers?A complex number is a number of the form a + bi, where a and b are real numbers.
Given is a complex numbers, (-3+2i)(-6 - 8i)
(-3+2i)(-6 - 8i) = 18-24i-12i+16
= 34-36i
Hence, The a + bi form of the given expression is 34-36i
For more references on complex numbers, click;
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write a situation for 1/3 x 3/4 = 3/12
Answer:
1/3x3/4=3/12
3/4=3/12x3/1
=3/12x3/1x4/3
=3/4
Please help! Linear Equation word problems using the Ax + By = C form!
Answer:
1. T = 5x + 3y
2. 16 tomatoes.
Step-by-step explanation:
1. Determination of the linear expression.
Let x represent the number of pumpkin.
Let y represent the number of tomato.
Let T represent the total sales made from selling the pumpkins and tomatoes.
From the question,
1 pumpkin = $ 5
Hence,
x pumpkin = 5x
1 tomatoe = $ 3
Hence
y tomatoes = 3y
Therefore, the total sales (T) made from selling the pumpkin and tomatoes will be:
T = 5x + 3y
Where:
T is the total sales made from selling the pumpkin and tomatoes.
x is the number of pumpkin.
y is the number of tomatoe
2. Determination of the number of tomatoes sold.
Total cost (T) = $ 98
Number of pumpkin (x) = 10
Number of tomatoe (y) =?
T = 5x + 3y
98 = 5(10) + 3y
98 = 50 + 3y
Collect like terms
98 – 50 = 3y
48 = 3y
Divide both side by 3
y = 48/3
y = 16
Therefore, 16 tomatoes was sold.
Aisha spends 15 1/6 hours doing homework in September. She spends 18 3/4 hours doing homework in October.
How much longer does Aisha spend doing homework in October than in September?
2 1/3 h
2 7/12h
3 1/3h
3 7/12h
Answer:
its 3 7/12
Step-by-step explanation:
.......hope it helps...... need a thanks
A $65 video game has a 5% shipping charge. What is the cost of the shipping charge?
PLS HELP FAST!!
If you were to be driving in a car at a high amount of speed and shot a gun out the window forward (towards the windshield forward). What would happen? Would the bullet keep going and eventually lose its power or would it come back and hit you? Use your own situations in the answers like what kind of speed, gun, caliber, wind speed whatever.
Answer:
If you shoot the bullet off the back of the car , the bullet will still be moving away from you and the gun at 1,000 mph, but now the speed of the train will subtract from the speed of the bullet. Relative to the ground, the bullet will not be moving at all, and it will drop straight to the ground.
Step-by-step explanation:
Step-by-step explanation:
If you shoot the bullet off the back of the train, the bullet will still be moving away from you and the gun at 1,000 mph, but now the speed of the train will subtract from the speed of the bullet. Relative to the ground, the bullet will not be moving at all, and it will drop straight to the ground.If you fire a gun into the air, the bullet will travel up to a mile high (depending on the angle of the shot and the power of the gun). Once it reaches its apogee, the bullet will fall. ... In crowded cities, however, the probability rises dramatically, and people get killed quite often by stray bullets
Plz Mark me as brainlist
Please anyone answer this one and get it right
Answer:
300
-100
Step-by-step explanation:
-50 + -250 = -300
-300 + x = 0
x = 300
-425 + 250 + 275 = 100
-100 + x = 0
x = -100
Answer:
6.) 300 7.) -100
Step-by-step explanation:
Elsa took out a 4-year loan to buy a car at a 7.25% simple interest rate. If she has to pay $2,900 in interest. How much interest did she pay each 1 year?
Answer:
her life
Step-by-step explanation:
Determine which of the four postulates, if any, can be used to prove that the triangles are congruent.
50 points
Answer:
Option B
Step-by-step explanation:
Given:
AB ≅ CD
BC ≅ DA
To Prove:
ΔABD ≅ ΔCDB
Statements Reasons
1). AB ≅ CD 1). Given
2). BC ≅ DA 2). Given
3). BD ≅ BD 3). Reflexive property
4). ΔABD ≅ ΔCDB 4). SSS postulate of congruence
Therefore, Option (B) will be the correct option.
Que es un Monomi i un Polinomi?
Answer: Traducción Española
Polynomi es un término matemático que muestra la suma de monomios. Monomi es un problema matemático donde las variables y constantes pueden estar solas o multiplicarse.
Step-by-step explanation:
English translation:
Polynomi is a mathematical term that shows the sum of monomials. Monomi is a mathematical problem where variables and constants can stand alone or multiply.
What is the equation of the line that passes through the points (0,-7) and (5,-1) put your answer in fully reduced form
Answer:
the answer is y=6/5x-7
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=(-1)-(-7)/5-0
m=6/5
y-y=m(x-x¹)
y-(-1)=6/5(x-5)
y+1=6/5x-6
-1 -1
y=6/5x-7
PLS PLS HELP! ASAP! Will mark brainliest!
Choose the correct simplification of the expression (d3)5.
1. d8
2. d15
3. d243
4. d
The Answer is A^15, a.k.a. A to the 15th power.
Step-by-step explanation:
First, apply the exponent rule. (a^b)^c = a^bc
You would get a^3*5 (* means times) (^ means to the power)
Second refine.
You would get d^15.
The answer is d^15.
XY = Y Z
2x = 5x-12
- 3x = -12
How do I solve ?
Answer:
Step-by-step explanation:
Well basically if you cancelled out y from both sides. You will find out x=z
-3x= -12
x=4
Thus z=4
What is the best description of the relation in Item 2?
A. a function that is one-to-one
B. a function that is many-to-one
C. a function that is one-to-many
D. a relation that is not a function
Answer:
Step-by-step explanation:
a relation that is not a function