Answer:
c
Step-by-step explanation:
Many bank accounts never go below zero. But some banks will allow a negative balance, at least for a short time, called an overdraft. It means someone has taken out, or 'drafted', more money than was in the account to begin with. David's account went into overdraft. To get back to a positive balance, he deposited money at a steady rate of $20.06 per week. After 8 weeks, he had $122.46 in the account. What was the balance when the account went into overdraft?
Answer:
The balance when the account went into overdraft was -38.02
Step-by-step explanation:
Let x be the balance when the account went into overdraft
To get back to a positive balance he deposited money at a steady rate of $20.06 per week.
Amount deposited per week = $20.06
Amount deposited 8 weeks = [tex]20.06 \times 8 =160.48[/tex]
Now amount in account after 8 weeks =x+160.48
We are given that After 8 weeks, he had $122.46 in the account.
So,x+160.48=122.46
x=122.46-160.48
x=-38.02
Hence The balance when the account went into overdraft was -38.02
In ΔBCD, \overline{BD} BD is extended through point D to point E, \text{m}\angle CDE = (9x-12)^{\circ}m∠CDE=(9x−12) ∘ , \text{m}\angle BCD = (2x+3)^{\circ}m∠BCD=(2x+3) ∘ , and \text{m}\angle DBC = (3x+5)^{\circ}m∠DBC=(3x+5) ∘ . Find \text{m}\angle BCD.M∠BCD.
Answer:
Angle BCD is 13 degrees
Step-by-step explanation:
Here, we want to find the measure of angle BCD
To get this, we need an appropriate diagram. The diagram can be seen in the attachment.
To find the value of BCD, we can use an important triangle theorem.
This is that the sum of opposite interior angles of a triangle equals the exterior angle.
Thus, we have that;
BCD + DBC = CDE
hence;
3x + 5 + 2x + 3 = 9x-12
5x + 8 = 9x -12
9x-5x = 8 + 12
4x = 20
x = 20/4
x = 5
So the measure of BCD will be 2(5) + 3 = 10 + 3 = 13
Answer:
13°
Step-by-step explanation:
just solved on delta math
Joshua decides to use synthetic division to find the the quotient of (equation provided above).
What value from the divisor should he write in front of the coefficients?
Answer:
the value to be written is -2
Step-by-step explanation:
The first thing we will do here is to set the divisor equals to zero
The divisor is the denominator
Thus, we have x + 2 = 0
This indicates that x = -2
The term to be written in front of the coefficients is -2
Answer:
73.75
Step-by-step explanation:
comment and heart if this was helpful
The LCM of 4 and 7 is ______.
28 is the LCM of 4 and 7 as 4*7 = 28
Answer:
The LCM of 4 and 7 would come out to 28.
3x + 10 = 5x
which situation can be represented by this equation? HELPPP
Answer:
X=5
Step-by-step explanation:
10=2x divided by 2 means x=5
34(3x+6)−14(5x−24) =
Answer:
32x+540
Step-by-step explanation:
Answer:
32x + 540
Step-by-step explanation:
1. Solve the multiplication:
102x +204 - 70x + 336
2.Simplify
32x + 540
Help and hurry please!!
In the 2000 Summer Olympics, Michael Johnson ran the 400-meter race in 43.84 seconds. To the nearest hundredth, what was his speed in meters per second?
a.
9.12 m/s
c.
1.09 m/s
b.
10.96 m/s
d.
91.24 m/s
Please select the best answer from the choices provided
a
Step-by-step explanation:
One model for car depreciation is as follows, where Cis the original cost, Vis the value of the car after tyears, and ris the rate
of depreciation
V= (1-1)
If the original cost of the car was $21,000 and the rate of depreciation is 15%, what will be the value of the car after 5 years?
[Round to the nearest dollar.]
A. $17,850
B. $3,150
C. $9,318
D. $19,472
Given:
Original cost of car = $21000
Rate of depreciation = 15% = 0.15
Time = 5 years
To find:
The value of car after 5 years.
Solution:
Consider the model for car depreciation is
[tex]V=C(1-r)^t[/tex]
where, C is the original cost, V is the value of the car after t years, and r is the rate of depreciation.
Substitute C=21000, r=0.15 and t=5 in the above model.
[tex]V=21000(1-0.15)^5[/tex]
[tex]V=21000(0.85)^5[/tex]
[tex]V=21000(0.4437)[/tex]
[tex]V=9317.7[/tex]
[tex]V\approx 9318[/tex]
The value of car after 5 years is $9318. Therefore, the correct option is C.
Angle C and angle D are vertical angles with m angle C = -x + 26 and m angle D = 2x - 10.
What is m angle D?
Answer:
m∠D = 14
Step-by-step explanation:
According to the vertical angle theorem, both of these angles are congruent.
This means that they are equal (m∠C = m∠D) and we can solve for x:
m∠C = m∠D
-x + 26 = 2x - 10 (substitute in the equations)
-3x + 26 = -10 (subtract 2x from both sides)
-3x = -36 (subtract 26 from both sides)
x = 12 (divide both sides by -3)
Now that we know what x is, we can find m∠D by plugging it back into the equation:
m∠D = 2x - 10
m∠D = 2(12) - 10 (substitute the value for x in)
m∠D = 24 - 10
m∠D = 14
The value of the variable 'x' will be 12. Then the measure of the angle D will be 14°.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
Angle C and angle D are vertical angles with m∠C = -x + 26 and m∠D = 2x - 10.
∠C = ∠D
-x + 26 = 2x - 10
3x = 36
x = 12
Then the measure of the angle D will be
m∠D = 2x - 10
m∠D = 2(12) - 10
m∠D = 24 - 10
m∠D = 14°
The value of the variable 'x' will be 12. Then the measure of the angle D will be 14°.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ2
Write an expression for the nth term of...
2,1,0,-1...
Answer:
[tex]a_{n}[/tex] = 3 - n
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence, that is
1 - 2 = 0 - 1 = - 1 - 0 = - 1
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = - 1 , thus
[tex]a_{n}[/tex] = 2 - 1(n - 1) = 2 - n + 1 = 3 - n
2x + 7 = - 4x + 11
what’s the answer?
Answer:x=2/3
Step-by-step explanation:
Find m angle Y
(6x – 23)
(4х + 9)
m angle Y = ?
a
54
b
34
C
73
d
16
Answer:
m<y= 34
Step-by-step explanation...
6x-23=4x+9
2x=32
x=16
m<y+m<z=180
m<y=73+73=180
m<y=34
An isosceles triangle is a two-dimensional figure which has two equal sides and the two angles opposite to the equal sides are equal.
The sum of the three angles is equal to 180 degrees.
The value of angle m∠Y is 34°.
Option B is the correct answer.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Isosceles triangle:
Two sides are equal.
The angles opposite to the equal sides are also equal.
So,
From the figure we have,
6x - 23 = 4x + 9
Add 23 on both sides.
6x - 23 + 23 = 4x + 9 + 23
6x = 4x + 32
Subtract 4x on both sides.
6x - 4x = 4x + 32 - 4x
2x = 32
Divide both sides by 2.
x = 32/2
x = 16
The sum of the three angles of the Isosceles triangle given must be 180 degrees.
6x - 23 + 4x + 9 + m∠Y = 180
Put x = 16
6x16 - 23 + 4x16 + 9 + m∠Y = 180
96 - 23 + 64 + 9 + m∠Y = 180
146 + m∠Y = 180
Subtract 146 on both sides.
m∠Y = 180 - 146
m∠Y = 34
Thus,
The value of angle m∠Y is 34°.
Option B is the correct answer.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ2
Question 2: A line includes the points (20, 18) and (15, 13). What is its equation in
slope-intercept form?
y =
Answer:y=x
Step-by-step explanation: 13-18=-5
15-20=-5
-5/-5=1 slope
Using point slope take the first point and that slope to find the slope intercept.
Y-18=1(x-20)
Y=x-2
The number of girls in a class varies directly with the number of boys in the class. If a class contains seven boys and 21 girls, how many girls are in a class with 11 boys?
Answer:
17
Step-by-step explanation:
what is the value of x when
5x+20=6x+35
Answer:
x=15 or 15=x hope this helps
Solve |t| - 2= -1
A. -1, 3
B. -1, 1
C. -3, 3
D. -3, 1
Answer:
B
hope this helps :D
is 7m-2=8m+4-m an identity?
2-(3x-4)=-15 is this true or false
Answer:
I believe it is false. Have a great day and good luck! also super sorry if this answer ends up being wrong :/
Step-by-step explanation:
which equation represents a line parallel to the line y-5x=-6
Step-by-step explanation:
Coefficients before x and y should be equal to coefficients before x1 and y1 on every equation of lines that are parallel to the given line
General formula for them should be y-5x=b where b is every number we want.
So one of them could be y-5x=0 or y-5x=2 ...
-2.5 (4x-3)
combine like terms to create and equivalent expression
Answer:
-10x+7.5
Step-by-step explanation:
There are 18 classes at Jerome Elementary. There are 23 students in each class.
Select all of the expressions that are not good ways to use compatible numbers
to estimate the number of students at Jerome Elementary.
A. 18 x 23
B. 20 x 20
<
C. 20 x 25
D. 10 x 20
E. 18 x 25
3 of 8 Answered
Answer:
b
c
d
e
Step-by-step explanation:
a. How did you find each square root?
Answer:
by multiplying the same number twice
Step-by-step explanation:
example :
1 × 1 = 1
2×2 = 4
3×3 = 9
and so on....
NEED HELP IM BEGGING YOU PLEASE !!!!!!
Step-by-step explanation:
what help do you need????
Answer:
i believe the answer is 569/115
help ill mark u as brainlist
Answer:
C
Step-by-step explanation:
(C) 12.5 if u need any help ask me.
Answer:
[tex]x = 112.5....... \: i.e \: option \: b.[/tex]
Step-by-step explanation:
[tex]first \: you \: need \: to \: write \: the \: statement \: \\ as \: a \: mathematical\: \: expession \: i.e : \\ if \: y \: \alpha \: x \\ y \: = kx \\ k = \frac{y}{x} \\ when \: y \: = 12.5 \: and \: x \: = \: 37.5 \: then : \\ k = \frac{12.5}{37.5} \\ \\ x = \frac{y}{k} = \frac{y}{ \frac{12.5}{37.5} } = \frac{y}{1} \div \frac{12.5}{37.5} = \frac{y}{1} \times \frac{37.5}{12.5} \\ \\ x = \frac{37.5y}{12.5} \\ \\ when \: y = 37.5 \: x \: will \: be : \\ x = \frac{37.5 \times 37.5}{12.5} = 112.5[/tex]
A field's length l(x), in feet, can be represented by the expression x+10 and its width w(x), in feet, can be represented by the expression x+15. Which function represents its area?
A) x^2+25x+150
B) 4x+50
C) 2x+25
D) x^2+10x+150
Answer:
A) x^2+25x+150
Step-by-step explanation:
Area = length x width
A = (x + 10) x (x + 15)
A = x^2 + 25x + 150
Which shows a difference of squares?
10 y squared minus 4 x squared
16 y squared minus x squared
8 x squared minus 40 x + 25
64 x squared minus 48 x + 9
Answer:
8x^2 - 40x + 25
Step-by-step explanation:
The terms that show a difference of squares are given by:
10y² - 4x²
16y² - x²
What is a difference of squares?It is when the square of two terms are subtracted, in the following format:
[tex]a^2 - b^2[/tex]
In this problem, the first two items are difference of squares, as:
[tex]10y^2 - 4x^2 = (\sqrt{10}y)^2 - (2x)^2[/tex]
[tex]16y^2 - x^2 = (4y)^2 - x^2[/tex]
More can be learned about difference of squares at https://brainly.com/question/24673551
Which linear equation has no solution?
Answer:
4x+7=3x+7
Step-by-step explanation:
4x+(7-7)=3x+(7-7)
4x=3x
I truly don’t understand how I got this wrong
Answer:
m= -1
Step-by-step explanation:
A graph that is y=x or y = -x should be easy to spot, but (0,2) and (2,0) make a -x line.
PLEASE LOOK AT THE IMAGE ATTACHED ITS VERY IMPORTANT
Answer:
Step-by-step explanation:
So, you wanna be a master?
Do you have the skills to be number 1?
(If not, I'll help you lol)
Okay, let's define what a circumference is.
Circumference - The entire outside of a circle, think of it as the "perimeter" of the circle, like how there is a perimeter for a triangle or square.
The equation for finding the circumference is as follows:
[tex]2\pi r[/tex]
r - the radius, or half-way line is a circle.
So, you see the number thats on a half way line in the circle? That is the radius. All you have to do is plug in that number into the equation (for r), and you get the answer.
#3
r = 15
[tex]2\pi (15) = 30\pi \\[/tex]
Now use a calculator and type in 30, then times it by pi (which is this symbol: [tex]\pi[/tex])
Circumference = 94.248
#4
r = 10
[tex]2\pi (10) = 20\pi \\[/tex]
Circumference = 62.832
What is the slope of the line represented by the points in the table?
Answer:
.05
Step-by-step explanation: