Answer:
The worth of boat in 2013 will be $9202.6
Step-by-step explanation:
Rate of depreciation = 9% = 0.09
Cost of Boat in 2006 =$ 17,800
Cost of Boat in 2013 = ?
Years = 2013-2006= 7 years
The formula used is: [tex]\mathbf{A=P(1+r)^{t}}[/tex]
Since the value of boat is depreciating the value of r will be r=-0.09
Here P = 17,800 , r=-0.09 and t = 7 years Finding A
[tex]A=P(1+r)^{t}\\A=17,800(1+(-0.09))^7\\A=17,800(0.91)^7\\A=17,800(0.517)\\A=9202.6[/tex]
So, the worth of boat in 2013 will be $9202.6
A kite has a perimeter of 108 feet. One of the longer sides measures 30 feet. What are the lengths of the other three sides?
24 feet, 24 feet, 30 feet
24 feet, 30 feet, 30 feet
26 feet, 26 feet, 26 feet
30 feet, 48 feet, 48 feet
Answer:
24 feet, 24 feet, 30 feet
Step-by-step explanation:
edge 2020
The given perimeter of 108 feet, and length of the longer side of 30 feet,
gives the following length of the other sides;
24 feet, 24 feet, 30 feetWhich method can be used to find the lengths of the sides?A kite has two pairs of adjacent sides having equal length
Let x represent the length of one of the shorter sides, we have;
The perimeter of the kite = 2 × x + 2 × 30 = 108Which gives;
x = (108 - 2 × 30) ÷ 2 = 24
The length of one of the short side, x = 24 feet
The kite has 2 sides of length 24 feet and 2 sides of length 30 feet
The lengths of the other sides are therefore;
24 feet, 24 feet, 30 feetLearn more about kites here:
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If x is a positive integer,
give possible values of x
for inequality
5 > 2x – 3
9514 1404 393
Answer:
{1, 2, 3}
Step-by-step explanation:
Here's the solution to the inequality:
5 > 2x -3
8 > 2x . . . . . add 3
4 > x . . . . . . divide by 2
Positive integers less than 4 are ...
{1, 2, 3} . . . possible values of x
Can someone help me please my grades close today?
Step-by-step explanation:
1.m<U=54
3.m<F=72
5.x=7
A gym is selling monthly memberships for $35 each and reusable water bottles for $9 each. The gym
needs to make $1188 by the end of the month.
Enter a linear equation that describes the problem.
An equation for the amount of money made by the gym is = $1188, where m is the number of
monthly memberships sold, and w is the number of reusable water bottles sold.
Answer:
x = gym memberships, and y = bottles of water
30x + 7y = 1050.....when x = 28
30(28) + 7y = 1050
840 + 7y = 1050
7y = 1050 - 840
7y = 210
y = 210/7
y = 30....so he would have to sell 30 water bottles
Step-by-step explanation:
Answer:
1188=35m+9w
Step-by-step explanation:
find the domain and range of x square - 6 X + 6
Answer:
Domain:(−∞,∞),{x|x∈R}
Range:(−∞,∞),{y|y∈R}
Step-by-step explanation:
Determine if the triangles are congruent. If so, write a congruence statement. Explain
your reasoning in a short paragraph proof.
Answer: Yes, there are congruent.
Step-by-step explanation: A triangle is congruent if the same shape and size. In this figure, they're congruent.
I hope this helps you!
Which best describes the end behavior of y=-2x^3?
As x > 0 increases, f(x) increases. As x < 0 decreases, f(x) increases.
As x > 0 increases, f(x) decreases. As x < 0 decreases, f(x) decreases.
As x > 0 increases, f(x) increases. As x < 0 decreases, f(x) decreases.
As x > 0 increases, f(x) decreases. As x < 0 decreases, f(x) increases.
Answer:i believ the its the last one
Step-by-step explanation:
For end behaviour, note the leading coefficient and the degree. The degree is odd and the leading coefficient negative, hence it would rise to the left and fall to the right.
Answer:
D on ed
Step-by-step explanation:
i have so much work and im am sad plz help me for geometry or I'm going to fail
Answer: First option, “22”
Step-by-step explanation:
A football team has a squad of 24 players,
1/12 of their squad are suspended, some of the squad are injured, and this leaves only 14 players to choose a team from,
What fraction of the squad are injured?
Answer:
1/3.
Step-by-step explanation
1/12 * 24 = 2 players suspended leaving 22 players.
So the number injured = 22 - 14 = 8.
Fraction injured = 8/24 = 1/3.
Prices for Soup
Price A
Price B
Price C
$3.87 for 3
$2.38 for 2
$8.75 for 7
Which gives the prices in order, from greatest to least unit rate?
Price B, Price C, Price A
Price A, Price C, Price B
Price C, Price A, Price B
Price B, Price A, Price C
Answer:
A, C, B
Step-by-step explanation:
A $3.87 ÷ 3 = $1.29 each
B $2.38 ÷ 2 = $1.19 each
C $8.75 ÷ 7 = $1.25 each
greatest to least would be A, C, B
I hope this helps, please mark Brainliest, thank you!
helpieeee plzzz owo will mark brainlist
Answer:
addition property of equality. hope that helps!
Step-by-step explanation:
Answer:
addition property of equality
Step-by-step explanation:
show questions
Your total cost C to skate at Skate Days is a $2 skate rental plus an additional $3.25 for each hour Chat
you skate.
Write a function rule to represent the situation.
19
Is this situation continuous or discrete? Explain your reasoning.
Create a sign that Skate Days can display at the counter that tells people how much it will cost
for each hour they skate (include 1-5 hours on your sign)
Skate City has free skate rental but charges $4 for each hour.
Which skating rink would you choose to go to?
Why did you make that choice? Use mathematical reasoning to support your answer. Lo
Answer:
The cost is a fixed $2, plus $3.25 for any additional hour.
Then if you rent it for x hours, the cost is:
c(x) = $2 + $3.25*x
Is this situation continuous or discrete?
Yes, it is discrete, because x is "the number of hours"
so if you rent it for 1.30 hours, they will say "ok, this is equivalent to two hours".
This means that while the values of x are continuous, the possible costs are:
{$2, $2 + $3.25, $2 + 2*$3.25, ....}
Which is a discrete set.
Then the sign for 1 to 5 hours will be:
1 hour ---------- $2 + $3.25 = $5.25
2 hours -------- $2 + 2*$3.25 = $8.50
3 hours--------- $2 + 3*$3.25 = $11.75
4 hours--------- $2 + 4*$3.25 = $15
5 hours -------- $2 + 5*$3.25 = $18.25
In the other park the cost is only $4 for each hour (no fixed cost) then the total cost for x hours is:
c(x) = $4*x
Now, which option is better?
If we look at the costs for different numbers of hours for this other equation, we have:
1 hour ----- $4
2 hours ---- 2*$4 = $8
3 hours ----- 3*$4 = $12
4 hours ------ 4*$4 = $16
Then: if you want to skate 2 hours or less, Skate City is cheaper, if you want to skate more than that, kate Days is cheaper.
This happens because the first one has a smaller slope, meaning that is larger at first, but as x grows the price does not grow as much as in Skate City
I only have 10 minutes left!! I need to know the answer!!!
I WILL MARL BRAINLY
Answer:
x<1
Step-by-step explanation:
Answer:
x<1
Step-by-step explanation:
Ashley began a new fitness and wellness program. After 30 days she weighed 124 pounds.
After 60 days she weighed 108 pounds. If the relationship between the number of days and
Ashley's weight is linear, how many pounds per day did Ashley lose?
There are 450 walnuts in 9 bags. If each bag has the same number of walnuts, how many walnuts are in 3 bags?
Answer:
150
Step-by-step explanation:
Answer:
150 walnuts
Step-by-step explanation:
450= 9 x x= bags
450/3 = 150
9/3= 3
150 walnuts= 3x
The scale of a model airplane is shown in the graph
Answer:5/3
Step-by-step explanation:
PLEASE HELP ME!!!!!
Answer:
The number pattern is that the decimal point moves one place to the left each time.
Next three numbers: 7.3456, 0.73456, 0.073456
Step-by-step explanation:
whats the slope of the line y-9=15 x-5
Answer:
Slope= 15
Hope this helps! :)
can You guys help me with this asap, please
Hey there! Let's answer each part of this question in order.
Part aIf Pedro withdrew [tex]\$35[/tex] per week, his change in balance could be represented as [tex]-35x[/tex] since [tex]x[/tex] is the number of weeks. Add this to his initial balance of [tex]\$710[/tex] to get the first answer:
[tex]\huge\boxed{710-35x}[/tex]
Part bThe same concepts can be applied to solve the next part. Maria started off with [tex]\$570[/tex] in her account and withdrew [tex]\$25[/tex] each week. Apply the same process from the first part to get the second answer:
[tex]\huge\boxed{570-25x}[/tex]
Part cWrite an equationFor the last part, we need to find the value of [tex]x[/tex] that makes the expressions we made in the first two parts equal to each other, so start by making them into an equation.
[tex]\huge\boxed{710-35x=570-25x}[/tex]
Solve the equationNow we need to solve this equation. Start by bringing the constants to the right and the variables to the left.
Keep in mind that when you move a term to the other side of the equation, you need to change its sign, as you are adding or subtracting the same number from both sides of the equation.
[tex]\begin{aligned}710-35x&=570-25x\\-35x&=570-25x-710\\-35x+25x&=570-710\end{aligned}[/tex]
Now, combine the like terms with addition and subtraction.
[tex]\begin{aligned}-35x+25x&=570-710\\-10x&=-140\end{aligned}[/tex]
Finally, divide both sides of the equation by [tex]-10[/tex] to fully isolate the variable and find the final answer.
[tex]\begin{aligned}-10x&=-140\\x&=14\ \text{(weeks)}\end{aligned}[/tex]
[tex]\huge\boxed{14\ \text{weeks}}[/tex]
Check your answerWe can also check our answer by substituting the final answer back into each expression, simplifying, and making sure the answers are equal.
[tex]\begin{array}{l|l}710-35x&570-25x\\710-35*14&570-25*14\\710-490&570-350\\220&220\end{array}[/tex]
Since the expressions are equivalent, we know that Pedro's balance is the same as Maria's balance after [tex]14[/tex] weeks.
Date
0.5
/
Ration
Question
The boiling point of jet fuel is 329°F.
Rounded to the nearest degree, what is
the temperature in degrees Celsius?
Use the formula C = (F – 32), where
C represents degrees Celsius and F
represents degrees Fahrenheit.
Answer:
Boiling point of jet fuel = 165 degrees Celsius
Step-by-step explanation:
Given:
Boiling point of jet fuel = 329°F
Find:
Boiling point of jet fuel in degrees Celsius
Computation:
C = [5/9][F – 32]
C = [5/9][329 – 32]
C = 165
Boiling point of jet fuel = 165 degrees Celsius
Consider this right triangle. R 9 55° Q P Enter the length of RQ, to the nearest tenth.
Answer:
RQ = 7.4
Step-by-step explanation:
From the right triangle PQR,
m∠Q = 90°
m∠P = 55°
Hypotenuse PR = 9
By applying sine rule in the given triangle,
Sin(55°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
0.819152 = [tex]\frac{\text{RQ}}{\text{PR}}[/tex]
0.819152 = [tex]\frac{RQ}{9}[/tex]
RQ = 9×0.819152
RQ = 7.37
≈ 7.4
Hi. I need help with these questions.
See image for question.
Answer 15
Step-by-step explanation:
YOU JUST FOLLOW THE STEP
Answer:
x = 1/5Step-by-step explanation:
GivenParabola y = 5x² -2x + 3To findThe equation of the line of symmetrySolutionThe line of symmetry passes through the vertex of the parabola
The vertex is determined by the formula:
x = -b/2aWhere b and a are constants from the standard form of ax² + bx + c = 0Substituting values from the given equation:
x = -(-2)/2(5) = 1/5x = 1/5 is the line of symmetryHelp me!!!! with this please
Answer:
x= 58+46-180
z=x
y=z+13-180
please helppppppppppppoppopppp
Answer: I think it might be 2.
Write the sentence as an equation.
225 is 68 divided by t
Answer:
[tex] \frac{225}{68} = t[/tex]
Help me asap
Write an equation to represent the tape diagram.
Find the value of p that makes the equation true.
Answer:
6p =120
Step-by-step explanation:
well the p's are very close together in a sense that we are going to multiply instead of add because they the p's would have space in between
6 * 20 = 120
so p= 20
choose A
and P=20
6p is equal to 6×20
to get P, do 120÷6
f(x)=(x-3) ²+5 determine the vertex
Answer:
The vertex is (3,5)
Step-by-step explanation:
Brainliest please
Which unit rate is the lowest price per ounce? (1 point) Choice A: 30 ounces of chocolate chips for $2.49 Choice B: 40 ounces of chocolate chips for $3.32 Question 1 options: 1) Choice A 2) Choice B 3) The unit rates are equal. 4) The unit rates cannot be determined.
Answer:
choice a and b are equal
Step-by-step explanation:
You divide 30÷2,49
and 40÷3,32 they both equal 12,04
The Circle Problem Draw a circle.You have only 3 lines. Divide the circle into 7 pieces.
In your own words, explain how to solve this problem. To attain maximum credit please include any websites used for references. Your reflection should include complete sentences and paragraphs.
Answer:
Draw a x then place a horizontal line to cut the highest quarter piece in half
A circle with 7 pieces is given below.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.
And the general formula of the circle,
(x – h)²+ (y - k)² = r²,
where (h, k) is the center and r is the radius of the circle.
Here is one way to divide a circle into 7 pieces using only 3 lines:
Draw a horizontal line across the middle of the circle to create two equal halves.
Draw a vertical line that intersects the horizontal line at the center of the circle.
Draw a diagonal line from the top of the circle to the bottom, passing through the center point.
This should create 7 pieces in the circle: two halves, four quarters, and one central piece that is shaped like a kite.
Therefore, the diagram of the image is given below.
To learn more about the circle;
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Express 144 1/4 in simplest radical form