Answer:
Tamara earns $2,050 each month.
She spends 65% of that, so the amount that she spends is:
S = (65%/100%)*$2,050 = 0.65*$2,050 = $1,332.50
Then the amount that she has left is:
R = $2,050 - $1,332.50 = $717.50
Now she divides that in half, and deposits those amounts in two separate accounts.
She deposits $717.50/2 = $358.75 in each acount.
Then she deposits $358.75 per month, so after x months she has:
x*$358.75 in each of those accounts, so one of the accounts will have more than $2,500 when:
x*$358.75 = $2,500
x = $2,500/$358.75 = 6.96
So after 6.96 moths she will have more than $2,500 in one of her accounts, we can round it to:
After 10 months Tamara has deposited more than 2,500 in one of her accounts.
Which equation can be used to solve for m, the greater integer? m(m – 3) = 108 m(m + 3) = 108 (m + 3)(m – 3) = 108 (m – 12)(m – 9) = 108
Answer:
m(m-3)=108
Step-by-step explanation:
Complete question below:
Two positive integers are 3 units apart on a number line. Their product is 108.
Which equation can be used to solve for m, the greater integer?
m(m – 3) = 108
m(m + 3) = 108
(m + 3)(m – 3) = 108
(m – 12)(m – 9) = 108
Solution
On the number line,
Let
m= larger integer
The integers are 3 numbers apart on the number line, so
m-3=smaller integer
The product (×) of the larger and smaller integers=108
(m)*(m-3)=108
m(m-3)=108
Therefore, the equation that can be used to solve for m, the larger integer is:
m(m – 3) = 108
Answer:
its a
Step-by-step explanation:
XD
5t - 3 = 3t - 5 : solve
Answer: -1
Step-by-step explanation:
[tex]5t-3=3t-5[/tex]
Add 3 to both sides.
[tex]5t=3t-2[/tex]
Subtract 3t from both sides.
[tex]2t=-2[/tex]
[tex]t=-1[/tex]
Hope this helps!
Answer: t=-1
Step-by-step explanation:
1) add 3 to both sides
2) subtract 3t from both sides
3) Divide both sides by 2
1. Which financial statement reports the amount of cash paid for acquisitions of property, plant, and equipment? In which section (operating, investing, or financing) of this statement is the information reported? 2. Indicate the amount of cash paid for acquisitions of property and equipment in the year ended September 30, 2017.
Answer:
1. Cash flow statements; the investing section
Step-by-step explanation:
The cash flow statements is a useful document that shows where the company receives funds and uses it. Thus, it shows both incoming and outgoing cash flow.
The investment section of the cash flow statement is where all the amount of cash paid for acquisitions of property and equipment is imputed. Usually the transactions are written as capital expenditure.
A painting measures 15 cm long by 24 cm high. You buy two posters, each showing an enlargement of the painting. The first poster measures 45 cm long by 72 cm high. The second poster measures 97.5 cm long by 156 cm high. Which of the following is true? (Hint: To be an accuarate representation of the painting, would the the poster be similar to the painting?)
Answer:
The Answer Is C The fist poster is the proper representation, because find the areas compare the paintings to the first poster it is 360 to 3240 which shows the poster is 9x bigger but compared to the second one it is out of proportion for the painting and first poster
Which of the following is a polynomial with roots - square root of 5, - square root of five and 3
A. X^3 - 3x^2 - 5x +15
B. X^3 + 2x^2 -3x - 6
C. X^3 - 2x^2 - 3x +6
D. X^3 + 3x^2 - 5x - 15
Answer:
A is correct
Step-by-step explanation:
What we need to do here is to multiply all the roots together
The roots are;
3, √5 and -√5
Let’s have them in form of a sum
if x = 3, then the root is x-3
If x = √5, then the root is x-√5
If x = -√5, then the root is x+ √5
Now we need to multiply all these together to arrive at the original polynomial
Let’s start by using the roots
(x-√5)(x+ √5)
we can use the difference of 2 squares here and we arrive at (x^2 -5)
So finally, the polynomial would be;
(x^2-5)(x-3)
= x(x^2-5) -3(x^2-5)
= x^3-5x-3x^2+15
By rearranging, we have;
x^3-3x^2-5x+15
Please help me with this
Answer:
3, 8, 12, 12, 14, 20, 21, 23, 26, 34
stem leaf
0 3 8
1 2 2 4 (you have 12,12,14)
2 0 1 3 6 ( numbers 20,21,23,26)
3 4 ( number 34)
Ha mush and Harry work as plumbers Harry earns a dollar more than more than 5/4 the amount gaming earns per hour the amount Harry earns per hour is $2 less than 7/5 the amount Hamish earns per hour how much does each of them earn per hour
Answer:
Hamish's earning = $20
Harry's earning = $26
Step-by-step explanation:
Given the following :
Let Harry's earning per hour = x
Let Hamish earning per hour = y
Harry earns a dollar more than more than 5/4 the amount hamish earns per hour;
Therefore,
x = 5/4y + 1
x - 5/4y = 1 - - - - (1)
the amount Harry earns per hour is $2 less than 7/5 the amount Hamish earns per hour
x = 7/5y - 2 - - - - (2)
Substituting (2) into (1)
7/5y - 2 - 5/4y = 1
7/5y - 5/4y = 1 + 2
7/5y - 5/4y = 3
Taking the L. C. M
(28y - 25y) / 20 = 3
28y - 25y = 60
3y = 60
y = 20
Substitute y = 20 into (1)
x - 5/4(20) = 1
x - 100/4 = 1
x - 25 = 1
x = 1 + 25
x = 26
y = Hamish's earning = $20
x = Harry's earning = $26
I NEED HELP FAST OR I WILL FAIL!!! What is the approximate solution to the system of equations? Y=x+1, y=3x-2 (-.33, -1.33) (1.4, 2.5) (-.67, .25) (0, 1.5)
Answer:
(1.4, 2.5)
Step-by-step explanation:
[tex]y = x + 1[/tex] ... equ 1
[tex]y =3x - 2[/tex] ... equ 2
subtract equ 1 from 2, we'll have
[tex]0 = 2x - 3[/tex]
[tex]2x = 3[/tex]
[tex]x= 3/2 = 1.5[/tex]
substitute the value of [tex]x[/tex] in equ 1, we'll have
[tex]y = 1.5 +1[/tex]
[tex]y = 2.5[/tex]
therefore, solution to the system of the equation is (1.5, 2.5)
the closest in your option is (1.4, 2.5)
sin theta = x , sec theta =y . find cot theta pls answer fast i need to verify my answer . you can directly write the answer no issues
Answer:
[tex]\huge\boxed{\cot\theta=\dfrac{1}{xy}}[/tex]
Step-by-step explanation:
[tex]\bold{METHOD\ 1}[/tex]
[tex]\sin\theta=x\\\\\sec\theta=y\\\\\cot\theta=?\\\\\text{We know:}\\\\\sec x=\dfrac{1}{\cos x};\ \cot x=\dfrac{\cos x}{\sin x}\\\\\sec\theta=y\to\dfrac{1}{\cos \theta}=y\to\dfrac{\cos\theta}{1}=\dfrac{1}{y}\to\cos\theta=\dfrac{1}{y}\\\\\cot \theta=\dfrac{\frac{1}{y}}{x}=\dfrac{1}{xy}[/tex]
[tex]\bold{METHOD\ 2}[/tex]
[tex]\text{We know}\\\\\tan x=\dfrac{\sin x}{\cos x}\\\\\cot x=\dfrac{\cos x}{\sin x}=\dfrac{1}{\tan x}\\\\\sec x=\dfrac{1}{\cos x}\\\\\text{therefore}\\\\(sin x)(\sec x)=(\sin x)\left(\dfrac{1}{\cos x}\right)=\dfrac{\sin x}{\cos x}=\tan x\\\\\dfrac{1}{(\sin x)(\sec x)}=\dfrac{1}{\tan x}=\cot x[/tex]
[tex]\\\sin \theta=x;\ \sec\theta=y\\\\\text{substitute}\\\\\cot\theta=\dfrac{1}{xy}[/tex]
Please answer this question now
Answer: S = 8.9 or just 9
Step-by-step explanation:
three people are watching a hot air balloon travel over their town. at a certain point in time, one person stands directly below the balloon, and the others look at it at certain angles. in the following image, a,b, and c are people, and d is the balloon. person c is 384m directly below the balloon, person b is 200m away from person c, and the angle between person a, the balloon, and person b is 33 degrees. how far is person a from the hot air balloon
Answer:
Distance between balloon and a is = 383.67 m
Step-by-step explanation:
The given situation can be represented as the given diagram as attached in the answer area.
cd = 384 m
cb = 200 m
[tex]\angle adb = 33^\circ[/tex]
To find:
Distance between balloon and a i.e. side ad = ?
Solution:
First of all, let us consider the right angled [tex]\triangle bcd[/tex].
We know the trigonometric identity that:
[tex]tan\theta = \dfrac{Perpendicular}{Base}[/tex]
[tex]tan\angle cbd =\dfrac{cd}{cb}\\\Rightarrowtan\angle cbd =\dfrac{384}{200}\\\Rightarrowtan\angle cbd =1.92\\\Rightarrow \angle cbd = tan^{-1}(1.92) = 62.49^\circ[/tex]
Now, using the external angle property for the external [tex]\angle cbd[/tex] for the [tex]\triangle abd[/tex]:
(External angle is equal to the sum of two opposite angles of the triangle.)
[tex]\angle cbd = \angle adb+\angle a[/tex]
[tex]\Rightarow \angle a =62.49-33 =29.49^\circ[/tex]
Now, let us consider the right angled [tex]\triangle acd[/tex].
We have the value of [tex]\angle a[/tex] and perpendicular dc.
We have to find the hypotenuse ad.
Let us use the sine identity:
[tex]sin\theta =\dfrac{Perpendicular}{Hypotenuse}\\\Rightarrow sin\angle a =\dfrac{cd}{ad}\\\Rightarrow sin(29.49^\circ) =\dfrac{384}{ad}\\\Rightarrow ad = \dfrac{384}{0.49}\\\Rightarrow \bold{ad = 783.67\ m}[/tex]
So, the answer is:
Distance between balloon and [tex]\bold{a}[/tex] is = 383.67 m
3) The owner of the KiKi Fill Gas Station wishes to determine the proportion of customers who use a credit card or debit card to pay at the pump. He surveys 100 customers and finds that 80 paid at the pump. 1. Estimate the value of the population proportion. 2. Develop a 95% confidence interval for the population proportion. 3. Interpret your findings
Answer:
i) Estimate the value of the population proportion = 0.8
ii) 95% confidence interval for the population proportion
(0.7214 , 0.8784)
iii) Lower bound = 0.7214
upper bound = 0.8784
Step-by-step explanation:
Step(i):-
Given sample size 'n' = 100
Given data he surveys 100 customers and finds that 80 paid at the pump
sample proportion
[tex]p = \frac{x}{n} = \frac{80}{100} = 0.8[/tex]
Step(ii):-
95% confidence interval for the population proportion is determined by
[tex](p^{-} - Z_{\alpha } \sqrt{\frac{p(1-p)}{n} } , p^{-} + Z_{\alpha } \sqrt{\frac{p(1-p)}{n} })[/tex]
Level of significance
∝ =0.05
Z₀.₀₅ = 1.96
[tex](0.8 - 1.96 \sqrt{\frac{0.8 X 0.2)}{100} } , 0.8 + 1.96 \sqrt{\frac{0.8 X 0.2}{100} })[/tex]
On calculation , we get
(0.8 - 0.0784 , 0.8 + 0.0784)
(0.7214 , 0.8784)
Conclusion:-
95% confidence interval for the population proportion
(0.7214 , 0.8784)
Karim sent a chain email to 10 of his friends. The number of people who got the email increases by a factor of 1.4 every week. Write a expression that give the number of people who got the email after 6 weeks?.
Answer:
10x1.4^6
Step-by-step explanation:
Find the solution of y= -x - 3 for x= -2.
Answer:
x=-2 and y=-1
Step-by-step explanation:
If x = -2 then:
y = -(-2)-3
y = 2-3
so y = -1
I hope this helps! And plz mark me brainliest!!!
Answer:
(-2,-1)
Step-by-step explanation:
Well if x is -2 we can plug it in to find y,
y = -(-2) - 3
y = 2 - 3
y = -1
(-2, -1)
Thus,
the solution is (-2,-1)
Hope this helps :)
please help ASAP. Create a quadratic inequality that has this solution: x ≤ -7 or x ≥ -1. Explain your strategy.
Answer: y ≤ x² + 8x + 7
Step-by-step explanation:
x ≤ -7 --> x + 7 ≤ 0
x ≥ -1 --> x + 1 ≥ 0
First, let's figure out the quadratic equation:y = (x + 7)(x + 1)
y = x² + 8x + 7
Next, let's figure out which inequality symbol to use:The quadratic is positive so it is U-shaped
x ≤ -7 and x ≥ -1
means the outside of the U-shaped parabola is shaded
so we need to use the ≤ symbol
Note: if the inequality symbols were reversed, the shading would be inside the U-shaped parabola so we would use the ≥ symbol.
a quadrilateral has angles measuring 56 degrees, 78 degrees, and 90 degrees. how large is the missing angle?
Answer:
Hey there!
Angles in a quadrilateral add to 360 degrees, so we have 56+78+90+x=360
Solving, we see that the missing angle, x, is 136 degrees.
Hope this helps :)
Answer:
Hey.... Ans is 154°
The mate who ans before me HAVE TO FIND x TOO
Step-by-step explanation:
For example take a quadrilateral ABCD (refer to the pic)
Then solution is...
In quadrilateral ABCD
Sum of all sides of a quadrilateral= 360°
=angle A + angle B+ angle C+ angle D=
Given,
Angle A= 56° + angle B=78° + angle C=90° + angle D=x
=56° + 78° + 90° + x. (add all the numbers)
x+226=360° (56+78+90=226)
x=360° - 226°
x=154°
Therefore the largest angle = x = 154°
Hope it helped u!!
what is the midpoint of the segment shown below (2 2) (3 5) a. (5/2, 7/2) b. (5, 7) c. (5/2, 7) d. (5, 7/2)
Answer:
[tex]( \frac{5}{2} \: , \frac{7}{2} )[/tex]Option A is the correct option.
Step-by-step explanation:
Let the points be A and B
A ( 2 , 2 ) ------> ( x1 , y1 )
B ( 3 , 5 ) -------> ( x2 , y2)
Now, let's find the mid-point :
Midpoint = [tex] (\frac{x1 + x2}{2} \:, \frac{y1 + y2}{2} )[/tex]
plug the values
[tex] = ( \frac{2 + 3}{2} \: , \frac{2 + 5}{2} )[/tex]
Calculate the sum
[tex] = \: ( \frac{5}{2} \:, \frac{7}{2} )[/tex]
Hope this helps..
Best regards!!
The formula for working out the cost of hiring a canoe is : cost=£15+6* number of hours. Megan paid £27 to hire a canoe. How long did she hire the canoe for
Answer:
Megan hired the canoe for 2 hours
Step-by-step explanation:
Given:
Cost(h) = 6h+15 = 27
Solution
6h+15 = 27
6h = 27-15 = 12
h = 2
can someone answer the underlined question? (number 9)
Answer:
Slope = -6/7
Step-by-step explanation:
You need to use the formula m = y2 - y1 ÷ x2 - x1
The formula means: slope = the y coordinate of point 2 subtract the y coordinate of point 1, divided by the x coordinate of point 2 subtract the x coordinate of point 1
So,
m = 2 - 5 ÷ 3/2 - (-2)
m = -3 ÷ 7/2
m = -6/7
Hope this helps :)
Given: ∆ABC, m∠C = 90°
m∠BAC = 2m∠ABC
BC = 24 cm,
AL
− ∠ bisector
Find: AL
Answer: 16 units
Step-by-step explanation:
Given that in triangle ABC, m∠C=90,
it means m∠A +∠B= m∠BAC + m∠ABC = 90
m∠ABC = 90 - m∠BAC
Also given that;m∠BAC = 2m∠ABC
So,
m∠BAC = 2(90 - m∠BAC) = 180 - 2m∠BAC
m∠BAC +2m∠BAC = 180
3m∠BAC = 180
m∠BAC=180/3 = 60
m∠ABC = 60/3 = 30
thus,ΔBAC is a 30-60-90 right triangle, in which the ratio of the side lengths is 1:√3:2AC:BC=1:√3, AC=BC/√3BC=24, So,
AC=24/√3=8√3AL bisects angle A =>m∠LAC=30
ΔALC is a 30-60-90 right triangle, in which the ratio of the side lengths is 1:√3:2AC:AL=√3:2AL=2AC/√3=2x8√3/√3=16
Please help I’m being timed!!! When planning road development, the road commission estimates the future population using the function represented in the table, where x is the time in years and f(x) is the total population. What is the significance of 160,000 in the function? A) the maximum population of the city B) the expected population in 5 years C) the initial population at the time of the estimation D) the amount of increase in the population in 5 years
The correct answer is C) The initial population at the time of the estimation
Explanation:
A mathematical function represents the relationship between two variables by showing how one increases or decreases as the other changes. In the case presented, the variables are the time in years represented by x and the population represented by f (x). In this context, the value 160.000 in column f(x) represents the population on the year 0, this means the current population or initial population when the function or estimation is created. On the other hand, other values represent the population in the future, for example, the value 173189 represents the population in 4 years.
Answer:
yes the 3ed answer in correct on ENG 2022
The blue segment below is a diameter of O. What is the length of the radius of the circle?
Answer: A) 2.95 units
Step-by-step explanation:
The diameter of a circle is twice the radius. Thus, simply do 5.9/2 to get that the radius is 2.95 units long.
Hope it helps <3
Answer:
your answer would be A-2.95
5.9/2=2.95
Step-by-step explanation:
Multiply the polynomial.
(X2+3)(x3-x2+4)
PLEASE HELP!!! ASAP!!!
Answer:
x⁵ - x⁴ + 3x³+ x² + 12Step-by-step explanation:
( x² + 3 ) ( x³ - x² + 4 )
Multiply the second parentheses by each term from the first parentheses
x² ( x³ - x² + 4 ) + 3 ( x³ - x² + 4 )
Distribute x through the parentheses
x⁵ - x⁴ + 4x² + 3 ( x³ - x² + 4 )
Distribute 3 through the parentheses
x⁵ - x⁴ + 4x² + 3x³ - 3x² + 12
Collect like terms
x⁵ - x⁴ + x² + 3x³ + 12
Use the commutative property to reorder the terms
x⁵ - x⁴ + 3x³ + x² + 12
Hope this helps..
Best regards!!
Answer:
x^5-x^4+3x^3+x^2+12
Step-by-step explanation:
Mulitply each term:
x^5-x^4+4x^2+3x^3-3x^2+12
Now simplify.
x^5-x^4+3x^3+x^2+12
I hope this helps....
Please mark me brainliest!!
I SHALL NAME THEE BRAINLIEST!! (: Pls help me. (#1) 4A - 1 = 3A + 8 solve and check (#2) 1 + F + 3 + F = F + 5 solve and check (#3) Naomi had B bushels of grain. After Ruth brought her 5 more bushels of grain, she had 11 bushels in all. How much grain did Naomi have to start with? Write an equation and solve.
Answer:
1. a=9 2. f=1 3. b=6
Step-by-step explanation:
1.) 4a-1=3a+8
subtract 3a from both sides
a-1+8
add 1 to both sides
a=9
2.) 1+f+3+f=f+5
combine like terms that are on the same side
2f+4=f+5
subtract f from both sides
f+4=5
subtract 4 from both sides
f=1
3.) construct a equation
b+5=11
subtract 5 from both sides
b=6
Find the largest integer which belongs to the following interval: (−∞; 31]
Answer:
The largest integer that belongs to the interval (-∞, 31] is 31
Step-by-step explanation:
The given interval is (-∞, 31], from which the round bracket indicates that the number next to the bracket is not included in the inequality while the square [] (closed) bracket indicates that the number next to the bracket is included in the inequality
Therefore, 31 is inclusive in the inequality while -∞ is excluded.
The find the largest integer that belongs to the interval (-∞, 31] the numbers are arranged on the number line as follows
The numbers presented in number line form -∞, .....-1, 0, 1, 2,..., 31
Giving 31 as the largest integer in the inequality
Chris purchased a tablet for $650. The tablet depreciates at a rate of $25 per month.
Write and simplify an equation that models the value V(m) of the tablet after m months.
Let d equal the final amount it depreciates.
Let m equal the number of months.
Since d is the final amount, we put this at the very end of the equation.
Since it depreciates $25 every month, this number is going to be subtracted from the total price of the tablet ($650).
The final equation comes out too: d = 650 - 25m
Best of Luck!
Find the angle measures given the figure is a rhombus. m=
Answer:
74°
Step-by-step explanation:
A rhombus is a quadrilateral that has its opposite sides to be parallel to be each other. This means that the two interior opposite angles are equal to each other. Since the sum of the angles of a quadrilateral is 360°.
According to the triangle, since one of the acute angle is 32°, then the acute angle opposite to this angle will also be 32°.
The remaining angle of the rhombus will be calculated as thus;
= 360° - (32°+32°)
= 360° - 64°
= 296°
This means the other two opposite angles will have a sum total of 296°. Individual obtuse angle will be 296°/2 i.e 148°
This means that each obtuse angles of the rhombus will be 148°.
To get the unknown angle m°, we can see that the diagonal cuts the two obtuse angles equally, hence one of the obtuse angles will also be divided equally to get the unknown angle m°.
m° = 148°/2
m° = 74°
Hence the angle measure if m(1) is 74°
The third, fifth and eighth terms of an AP are the first 3 consecutive terms of a GP. Given that the first term of the AP is 8, calculate the common difference
Answer:
The common difference = 2.
Step-by-step explanation:
An AP can be written as a1, a1 + d, a1 + 2d, a1 + 3d, a1 + 4d, a1 + 5d, a1 + 6d , a1 + 7d.
where a1 = first term and d is the common difference.
Here first term = a1 = 8
3rd term = a1 + 2d = 8 + 2d
5th term = a1 + 4d = 8 + 4d
8th term = 8 + 7d
First 3 terms of a GP are a , ar and ar^2
So from the given information:
a = 8 + 2d
ar = 8 + 4d
ar^2= 8 + 7d
Dividing the second equation by the first we have
r = (8 + 4d)/(8 + 2d)
Dividing the third by the second:
r = (8 + 7d) / (8 + 4d)
Therefore, eliminating r we have:
(8 + 4d)/(8 + 2d) = (8 + 7d)/(8 + 4d)
(8 + 4d)^2 = (8 + 2d)(8 + 7d)
64 + 64d + 16d^2 = 64 + 72d^ + 14d^2
2d^2 - 8d = 0
2d(d^2 - 4) = 0
2d = 0 or d^2 = 4, so
d = 0, 2.
The common difference can't be zero so it must be 2.
Please help don't understand at all
(i) Note that it is given to you that 3a + 2b = 9
You are trying to find the value of 9a + 6b. Find what is multiplied to both the variable a & b. Divide:
(9a + 6b)/(3a + 2b) = 3
Next, multiply 3 to the 9 on the other side of the equation:
3 x 9 = 27
27 is the value of 9a + 6b.
(ii) Note that it is given to you that 8x + 6y = 60
You are trying to find the value of 4x + 3y. Find what is multiplied to both the variable x & y. Divide:
(8x + 6y)/(4x + 3y) = 2
Next, divide 2 from the 60 on the other side of the equation:
60/2 = 30
30 is the value of 4x + 3y.
~
Answer:
(i) 27, (ii) 30
Step-by-step explanation:
i. since 9a + 6b is 3 times 3a + 2b then the and is 3 times 9 = 27
ii. since 4x + 3y is half of 8x + 6y then 60 /2 = 30
two numbers have these properties, both numbers are greater than 8. Their highest common factor is 8. their lowest common mulitiple is 80
Answer:
16 and 40
Step-by-step explanation:
Hello,
We need to find the factors of 80
1, 2, 4, 5, 8, 10, 16, 20, 40 and 80.
Which can be 2, 2, 2, 2, and 5 (these numbers would go into all the factor completely without any reminder.)
This leaves us with two numbers 2 and 5
If the highest common factor (H.C.F) of both numbers is 8
And the lowest common multiple (L.C.M) = 80
Multiply the numbers by the highest common factor (H.C.F)
2 × 8 = 16
5 × 8 = 40
The numbers are 16 and 40