Answer:
x = 14
Step-by-step explanation:
x + 10 = 2x - 4
x + 10 - 10 = 2x - 4 - 10
x = 2x - 14
x - 2x = 2x - 2x - 14
- x = - 14
- x ÷ - 1 = - 14 ÷ - 1
x = 14
Daniel deposits $8,000 into a continuously compounding interest account. After 18 years there is $13,006.40 in the account. What was the interest rate?
Answer:
r = 2.7%
Step-by-step explanation:
Interest rate compounded continuously
r = ln(A/P) / t
Where,
r = interest rate
A = future value
P = principal
t = time
r = ln(A/P) / t
r = ln(13,006.40/8,000) / 18
= ln(1.6258) / 18
= 0.4860000023303 / 18
= 0.0270000001294
Approximately
r = 0.027
Convert value of r to percentage
r = 0.27 × 100
r = 2.7%
Simplify: LaTeX: (4a + 6b)^2.
Answer:
4 (2a+3b)^2
Step-by-step explanation:
(4a+6b)^2 = (4a+6b) * (4a+6b) = 16a^2 +48ab + 36b^2
take 4 common factor
4 (4a^2 + 12ab + 9b^2) = 4 (2a+3b)^2
Some of the steps for completing the square to solve
x2 + 5x = 2 are shown.
x2 + 5x = 2
x2 + 5x + (StartFraction 5 Over 2 EndFraction) squared = 2 + (StartFraction 5 Over 2 EndFraction) squared
(x + StartFraction 5 Over 2 EndFraction) squared = StartFraction 33 Over 4 EndFraction
Which are solutions of x2 + 5x = 2?
Given:
The equation is:
[tex]x^2+5x=2[/tex]
To find:
The solution of the given equation by completing the square.
Solution:
We have,
[tex]x^2+5x=2[/tex]
We need to add the square of half of the coefficient of x on both sides.
Adding [tex]\left(\dfrac{5}{2}\right)^2[/tex] on both sides, we get
[tex]x^2+5x+\left(\dfrac{5}{2}\right)^2=2+\left(\dfrac{5}{2}\right)^2[/tex]
[tex]\left(x+\dfrac{5}{2}\right)^2=2+\dfrac{25}{4}[/tex]
[tex]\left(x+\dfrac{5}{2}\right)^2=\dfrac{8+25}{4}[/tex]
[tex]\left(x+\dfrac{5}{2}\right)^2=\dfrac{33}{4}[/tex]
Taking square root on both sides, we get
[tex]x+\dfrac{5}{2}=\pm \sqrt{\dfrac{33}{4}}[/tex]
[tex]x=\pm \dfrac{\sqrt{33}}{2}-\dfrac{5}{2}[/tex]
[tex]x=\dfrac{\pm \sqrt{33}-5}{2}[/tex]
[tex]x=\dfrac{\sqrt{33}-5}{2}[/tex] and [tex]x=\dfrac{-\sqrt{33}-5}{2}[/tex]
Therefore, the solutions of the given equation are [tex]x=\dfrac{\sqrt{33}-5}{2}[/tex] and [tex]x=\dfrac{-\sqrt{33}-5}{2}[/tex].
Answer: d and e
Step-by-step explanation:
edge 2021 :)
Melissa is saving money to buy a game. So far she has saved $20, which is four-fifths of the total cost of the game. How much does the game cost?
Answer:
25
Step-by-step explanation:
5 10 15 20 25
Answer:
25 dollars
Step-by-step explanation:
20 divided by 4 equals 5 then times that by 5 equals 25 then thats the total and ur answer is 25
What is the speed of a wave that has a wavelength of 2m and frequency of 1.5 Hz?
Doc Below
8c^2+7c how do i solve this
Answer: look at the picture
Step-by-step explanation: Hope this help :D
What value of x will make line G and H parallel
Answer:
9.5
Step-by-step explanation:
it makes sense because you multiply 8 and 9.5 to get 76. :)
Answer:
9.5 hope this is good
Step-by-step explanation:
Which expression means the same as 25 less than 5y
Answer: 5<y
Step-by-step explanation:25<5y divide both sides by 5 and you get the answer.
How to solve for shaded area
Answer:
(a) 12.96 ft²
(b) 21.5 in²
Step-by-step explanation:
(a) For the first diagram
Area of the shaded region (A) = Area of Tripezium- area of circle
A = [1/2(a+b)h]-[πr²]............... Equation 1
Where a and b are the parallel side of the tripezium respectively, h = height of the tripezium, r = radius of the circle.
From the diagram,
Given: a = 15 ft, b = 6 ft, h = 12 ft, r = h/2 = 12/2 = 6 ft.
Constant: π = 3.14
Substitute these values into equation 1
A = [12(15+6)/2]-(3.14×6²)
A = 126-113.04
A = 12.96 ft²
(b) For the second diagram,
Area of the shaded region (A') = Area of square- area of circle
A' = (L²)-(πr²)............. Equation 2
Where L = lenght of one side of the square, r = radius of the circle
From the diagram,
Given: L = 2r = (2×5) = 10 in, r = 5 in
Substitute these values into equation 2
A' = (10²)-(3.14×5²)
A' = 100-78.5
A = 21.5 in²
A theater charges $5.25 per ticket. The theater has already sold 40 tickets. Write and solve an inequality that represents how many more tickets the theater needs to sell to earn at least $400.
NO LINKS PLEASE :]
What is the measure of angle L?
NO LINKS FOR FILES
Answer:
87
Step-by-step explanation:
first find x
all triangles = 180°
180=32+2x+x+15
combine like terms
180=47+3x
180-47=133
133=3x
133/3=44.334 or 44 1/3
2(44.334)= 88.66 ooor 87 if you round it
Tyler's brother works in a shoe store. Tyler's brother earns a commission. The store bought a pair of shoes for $32 and sold them for $78. What percentage was the markup?
Answer:
The markup was 143.75%.
Step-by-step explanation:
In order to find the markup, you have to find the difference between the price the store paid for the pair of shoes and the price they sold them for, then divide that by the price they paid for the shoes and the result has to be multiplied for 100:
((78-32)/32)*100=(46/32)*100=1.4375*100=143.75%
According to this, the answer is that the markup was 143.75%.
what is 5 over 10 as a decimal
Answer:
0.50
Step-by-step explanation:
5/10=1/2
100/2=50
50*1=50
50 equals to 0.50 as a decimal
A bookstore carries 70 magazines. 80% of the magazines are women's magazines. How many women's magazines
does the bookstore carry?
Answer:
56
Step-by-step explanation:
If there are 70 total magazines, and 80% are womens, then you just multiply 70 * .80 = .56
A cyclist rides his bike at a speed of 27 miles per hour what is the speed in miles per minute? How many miles will the cyclist travel in 2 minutes ? Do not round answer
Answer:
The cyclist can travel 0.9 miles in 2 minutes.
Step-by-step explanation:
1 hour = 60 minutes
Set up a conversion equation:
27 mi/1 hr × 1hr/60 mins
It is easier to see when writing it on paper, but the fractions are set up in a way to cancel the units out until the only units left are miles and minutes
After multiplying the numerators together and then multiplying the denominators together, you should reach the answer:
27 mi/60 mins
The cyclist can travel 27 miles in 60 minutes, but how many miles can he travel in 2 minutes?
Set up an equation:
Variable x = number of miles
27 mi/60 mins = x/2 mins
Cross multiply
27 × 2 = 60 × x
54 = 60x
Divide both sides by 60
0.9 = x
Edward borrowed $475 for a new TV stand. He will make 10 monthly payments of $57 to repay
the loan. How much will he pay in interest?
Answer:
the anwser is 95 dollars I know because i did this
Ciara drives an average of 43.6 miles per week
Work out an estimate for the number of miles Ciara drives in a year.
Answer:
About 2288 miles
Step-by-step explanation:
43.6 rounded is 44. There are 52 weeks in a year. Therefore, 44x52 equals about 2288
A scatter plot is shown how many outliners does the graph show
Answer:
True
Step-by-step explanation:
Tom buys a hat for $13.00 plus 11% sales taxes.
Lyn buys a hat for $21.00 plus 9% sales taxes.
a) How much do Tom and Lyn pay for the hats? Show your work.
b) Who spent more on taxes?
Answer:
a)
Tom
Tax = (11/100) × 13
Tax = $1.43
Tom paid 13 +1.43 = $14.43
Lyn
Tax = (9/100)× 21
Tax = $1.89
Lyn paid 21 + 1.89 = $22.89
b) Lyn paid more for taxes.
which angles are adjacent to eachother
Answer:
angle 1 and angle 4 are adjacent each other
*in the image above x=23 cm. find the surface area of the figure
(help pls)
Answer:
[tex]3174cm^{2}[/tex]
Step-by-step explanation:
Each square has an area of [tex]529cm^{2}[/tex]
So we multiply that by the number of squares which is 6.
Which equation best represents c, the total amount Mr. Thomas should be charged
for driving m miles?
Answer:
c = 0.15m + 45
Step-by-step explanation:
Generally, we have the equation of a straight line as;
y = mx + b
where m is the slope and b is the y-intercept
To get the value of m, we can use the slope equation
m = (y2-y1)/(x2-x1)
Let us select two points to use from the table
we have;
(40,51) and (20,48)
So substituting these values;
m = (48-51)/(20-40) = 0.15
So we have the partially completed equation as;
y = 0.15x + b
To get the value of b, we use any of the points
Using the last, we have
51 = 0.15(40) + b
b = 45
So we have the complete equation as;
y = 0.15x + 45
using the terms in the question, we have;
c = 0.15m + 45
Please help I'm in fourth and I do not understand this at all :((
Answer:
Rico Spent $6.50 on each car.
Step-by-step explanation:If you divided 52 by 8 you get 6.5 in money it would be $6.50.
My answer is reasonable because my estimate ÷ 10 = $6.50
Answer:
The answers are: 6.5$ , divided by, and 5$
Step-by-step explanation:
In order to figure out the price of each toy car, we must divide 52/8 (the total price of the toy cars divided by the number of the cars) which equals to 6.5, meaning that each toy car costs 6.5$, since they all have the same price. We know that this is a reasonable price because say we were to estimate, meaning we'd take a guess without doing any calculations. Let's say we paid 50$ in total, which is easily divided by 10, if we were to round up both numbers, we'd get 5$ each. That's close to the true answer, making it reasonable to take such a guess.
I want its solution and the unit is about algebraic fraction.
Answer:
3x²/(3x - 9y)
This should be the simplest form.
Step-by-step explanation:
Combine the fractions:
(5x² - 2x²)/((6x - 6y) - (3y - 3x))
Combine like terms:
3x²/(6x - 3x - 6y - 3y)
Solve.
3x²/(3x - 9y)
Answer:
9x^2
======
6(x - y)
Step-by-step explanation:
Begin by switching the - to a plus. Switch the x and y in the second denominator.
5x^2 2x^2
===== + ======
6x - 6y 3x - 3y
Pull out the common factors in both denominators. Use the distributive property.
5x^2 2x^2
===== + ======
6(x - y) 3(x - y)
Multiply both the numerator and denominator by 2 on the left had fraction.
5x^2 2*2x^2
===== + ======
6(x - y) 2*3(x - y)
5x^2 4x^2
===== + ======
6(x - y) 6(x - y)
Put both numerators over a common denominator. Notice that the + sign shifts up. It shifts up because both fractions have been changed to a common denominator.
5x^2 + 4x^2
===================
6(x - y)
Combine the two numerators since they are of the same power.
9x^2
======
6(x - y)
Why the circle for parallelogram does not intersect the circle for trapezoid
Answer:
i think that it is B trapeziod and A triangle
Step-by-step explanation:
plz give me brainliest
Kyndal wants to buy a lamp that
originally cost $82, but went on sale for
20% off. The store is having an
additional sale that is 40% off the sale
price. What is the price of the lamp?
Answer:
$39.36
Step-by-step explanation:
Since its 20% off that means we still have a remaining 80% so first multiply 0.8 to the 82
82x0.8= 65.6
Since there is a additional 40% off multiply by 0.4 to get the discount amount
65.6x0.4= 26.24
Subtract the discount from the price
65.6-26.24= 39.36
help me!!
what's 50×50×50=
thanks!!
Answer:
solution
50×50×50=125000
Answer:
125000
Step-by-step explanation:
8. Fishermen on one boat caught 14 fish in 2.5 hours. At this rate, how many fish will they catch in 10 hours?.
Answer:
56 fish
Step-by-step explanation:
14/2.5=5.6
5.6x10=56
can two nonparallel lines can have multiple solutions.
1) always
2) sometimes
3) never
Answer:
3) never
Step-by-step explanation:
Because if both lines are the same then they will have infinite solutions in common.
Answer:
3- Never
Step-by-step explanation:
Sam's Saddles is having a sale on cowboy hats. The hats are being sold for
a 30% discount. The expression below can be used to determine the cost
of a hat on sale (h). h -0.3h Which expression could also be used to determine the cost of a hat on sale?
0.30h
0.70h
1.30h
1.70h
Answer: 0.70h
Step-by-step explanation:
The hat is being sold at a 30% discount. The expression that shows this will be:
Price = h - 0.3h
When the 0.3h is subtracted from h, we have:
= 0.7h
Another way to get to that expression:
Hat is being sold at 30% discount which means that 30% has been removed from the value leaving:
= 100% - 30%
= 70%
Price is now 70% * Normal price which is denoted as h.
= 70% * h = 0.7h
