Answer:
interest earned= 12.47
the future value of an annuity= 162.47
Step-by-step explanation:
Given Data:
Interest rate,r= 4%
time,t = 2 years
monthly payment, P= 150
n= 12 as monthly
At the end of 2 years, final investment A= ?
As per the interest formula for compounded interest
A= P(1+r/n)^nt
Putting the values in above equation
= 150(1+0.04/12)^24
= 162.47
Interest earned = A-P
= 162.47-150
= 12.47 !
Jim is building a triangle house the length is twice the width of the house
What function describes the perimeter of the house as the function of its width
YOU CAN TRY TO USE THIS FOR YOU ANSWER
L*W*H
Consider the functions f(x)=3x2 and g(x)=-2x-5. What is the value of f[g(-4)]?
Answer: C: 27 just took the test..
Step-by-step explanation:
The graph of g(x), shown is a vertical shift of the graph of f(x)=2^x. Write the equation for g(x)
Answer:
It's D .
Step-by-step explanation:
The graph of f(x) = 2^x passes through the y axis at (0, 1).
The graph of g(x) passes through (0, 0) so g(x) = 2^x - 1.
Answer:
the equation for g(x) would be 2^x + 1.
-when shifting graph up, use x + ?
-when shifting graph down, use x - ?
-when shifting graph left, use ^(x + ?)
-when shifting graph right, use ^(x - ?)
I hope this helps you!
Seth rides the bus to work each day. He spends $2.25 on bus fare. Write an equation to represent the total amount he spent on bus fair for d numbers of days.
Help me please
Fair for one day = 2 × $2.25 = $4.5
Fair for d no. of days = $4.5 × d = $4.5d
HOPE THIS WILL HELP YOU
To represent the total amount Seth spent on bus fare for d days, the equation is Total amount = $2.25 x d. Multiply the cost per day by the number of days to find the total amount spent.
Equation: The equation to represent the total amount Seth spent on bus fare for d days is Total amount = $2.25 x d.
Step-by-step explanation:
Identify the cost per day, which is $2.25.
Multiply the cost per day by the number of days, d, to get the total amount spent on bus fare.
Final equation: Total amount = $2.25 x d.
Use substitution to determine which of the following values for y are in the solution set of the inequality:
y + 12 > 34
Check all that are true.
y = 30
y = 20
y = 40
y = 10
Answer:
y = 30 and y = 40
Step-by-step explanation:
All you have to do is add 10 and 12, and see if its is greater than 34. Add the rest of the listed numbers to 12.
find the mode(s) for the given sample data.
the weights (in ounces) of 14 different apples are shown below.
4.9, 4.6, 5.1, 4.2, 4.8, 4.9, 4.6, 4.3, 4.1, 4.2, 4.9, 4.3, 4.2, 5.4
Answer:
4.9 & 4.2
Step-by-step explanation:
First, we will have to define mode,
“Mode is the most frequently occurring value of the given data.”
The value with the greatest frequency is called mode. In order to find mode, we have to skim through the data. The value which is repeated most is the mode of the given data. A data can have more than one modes.
For the above data,
4.9 is repeated 3 times.
4.2 is repeated 3 times.
These both numbers have highest frequency in the data.
So the modes are 4.9 and 4.2 ..
Answer:
So the modes are 4.9 and 4.2
A dealership purchased a four-door sedan for $19,000 and then sold it at 15%
markup. The dealership paid the buyer $5000 for a trade-in, which was sold
the following week at 25% markup. What was the dealership's profit on these
two vehicles?
Answer:
$4,100
Step-by-step explanation:
Final answer:
The dealership's profit from selling the two vehicles, after considering a 15% markup on the four-door sedan and a 25% markup on the trade-in vehicle, was $4,100.
Explanation:
To calculate the dealership's profit on the two vehicles, we need to consider the markup on each transaction.
Profit from the Four-Door Sedan
The dealership purchased the sedan for $19,000 and sold it at a 15% markup. The markup is calculated as 15% of the purchase price:
Markup on sedan = 0.15 times $19,000 = $2,850
The selling price of the sedan would thus be:
Sell price of sedan = Purchase price + Markup = $19,000 + $2,850 = $21,850
Profit from the Trade-In Vehicle
After trading in the first car and effectively reducing its cost by $5,000, the dealership then sells the trade-in at a 25% markup. First, we calculate the trade-in's sale price:
Trade-in value = $5,000
Markup on trade-in = 0.25 times $5,000 = $1,250
Sell price of trade-in = Trade-in value + Markup = $5,000 + $1,250 = $6,250
Total Profit
The total profit is the sum of profits from both vehicles:
Total profit = Markup on sedan + Markup on trade-in = $2,850 + $1,250 = $4,100
Therefore, the dealership's profit on these two vehicles was $4,100.
How to change proper fractions to improper fraction
Step-by-step explanation:
You already know that proper fractions have numerators smaller than the denominators, such as 1/2, 2/10 or 3/4, making them equal less than 1. The improper fraction has a numerator larger than the denominator. And mixed numbers have a whole number sitting next to a proper fraction -- for example, 4 3/6 or 1 1/2. As you work on converting improper fractions, you’ll find yourself using your knowledge of division.
Write down the improper fraction -- for example, 27/6. The fraction bar means you need to divide 27 by 6.
Divide 27 by 6. The answer is 4, with a remainder of 3. Use the answer as the whole number part of the mixed number, and place the remainder over the original denominator: 4 3/6.
Reduce the fraction, if necessary. For example, 3/6 equals 1/2 (the lowest common denominator of 3 and 6 is 3, so divide both the numerator and the denominator by 3 to reduce the fraction to 1/2).
If it is a mixed number fraction: 1 1/2
1. multiple the whole number and the denominator 2 x 1 = 2
2. Add that to the numerator 2+1= 3
*Denominator stays the same
3. example answer is... 3/2
******* only mixed numbers can be converted into improper fractions
A savings account pays an annual rate of 2% simple interest. How much would you need to deposit to earn $100 interest by the end of the 2nd year?
Answer:
You would need to deposit $2500
Step-by-step explanation:
The simple Interest formula is given as;
[tex]I=\frac{P*R*T}{100}[/tex]
Where I is the interest earned, P the principal amount deposited, R the simple interest rate and T the time.
The question requires us to determine the Principal given that;
I = 100
R = 2
T = 2
We make the Principal the subject of the formula;
[tex]P=\frac{100*I}{R*T}\\\\P=\frac{100*100}{2*2}=2500[/tex]
Need Help Fast Please!!! :)
Answer:
a: C = $4.70d, (d ≤ 5, C = $4.70d - $1 ?: d ≥ 5, C = $4.70d)
b.(1) dvd returned after 4 days = ($4.70 × 4) - $1 ⇒ $18.8 -$1 ⇒ $17.8
(2) dvd returned after 7 days = $4.70 × 7 ⇒ $32.9
Please help me with this question thanks
Answer:
x = 40.375Step-by-step explanation:
ΔYVH and ΔYBA are similar. Therefore the corresponding sides are in proportion:
[tex]\dfrac{YH}{YA}=\dfrac{YV}{YB}[/tex]
We have
[tex]YH=x,\ YA=17,\ YV=16+22=38,\ YB=16[/tex]
Substitute:
[tex]\dfrac{x}{17}=\dfrac{38}{16}[/tex] cross multiply
[tex]16x=(17)(38)[/tex] divdie both sides by 16
[tex]x=\dfrac{(17)(38)}{16}\\\\x=40.375[/tex]
Find three points that solve the equation x-4y=-18
For this case we must find three points that satisfy the following equation:
[tex]x-4y = -18[/tex]
So:
(-14,1)[tex]-14-4 (1) = - 14-4 = -18[/tex]
(10,7)[tex]10-4 (7) = 10-28 = -18[/tex]
(-30, -3)[tex]-30-4 (-3) = - 30 - (- 12) = - 30 + 12 = -18[/tex]
Answer:
Thus, three points that meet the equation are:
(-14,1)
(10,7)
(-30, -3)
Three points that solve the equation x-4y=-18 are (0, 4.5), (-18, 0), and (-14, 1).
To find three points that solve the equation x-4y=-18, we can choose values for one variable and solve for the other. Here are three points that satisfy the given linear equation:
Let x = 0: Substituting into the equation, we get 0 - 4y = -18, which gives y = 4.5. So, one point is (0, 4.5).Let y = 0: Plugging this into the equation yields x - 4(0) = -18, so x = -18. Thus, a second point is (-18, 0).Let y = 1: Substituting y into the equation, we find x - 4(1) = -18, leading to x = -14. Therefore, a third point is (-14, 1).These points are part of the infinite set of solutions to the linear equation x-4y=-18.
The area of a circle is represented by 16 x pi. What is the length of a diameter of the circle?
Answer:
Diameter = 8
Step-by-step explanation:
Area of a circle: pi r^2
16 pi = r^2 pi
r^2 = 16
r = 4
And since the diameter is equal to 2r, the diameter is
2(4) = 8
Factories these 2 plz!!
Answer:
a) 3x(x+4y-3y^2)
b) 3x(3x -y + 5y^3)
Step-by-step explanation:
a) 3x^2+12xy-9xy^2
We need to factorize the above equation.
We can take 3x common from the above equation.
3x(x+4y-3y^2)
It cannot be further factorized. So the factors are:
3x(x+4y-3y^2)
b) 9x^2 - 3xy +15xy^3
We need to factorize this equation.
Since 3x is common in all terms, taking 3x common
3x(3x -y + 5y^3)
It cannot be further factorized. So the factors are:
3x(3x -y + 5y^3)
A 2-pound bag of broccoli costs $2.88. What is the price per ounce
Answer:
$0.09
Step-by-step explanation:
1 pound = 16 ounces
So 2 pounds = 32 ounces
Write a proportion:
$2.88 / 32 oz = x / 1 oz
Solve:
x = $0.09
The price per ounce is $0.09.
Final answer:
To find the price per ounce of a 2-pound broccoli bag costing $2.88, divide the total price by the number of ounces (32), resulting in a price per ounce of $0.09.
Explanation:
To calculate the price per ounce of a 2-pound bag of broccoli that costs $2.88, you first need to know the total number of ounces in the bag. Since there are 16 ounces in 1 pound, a 2-pound bag contains 32 ounces (16 ounces/pound x 2 pounds). To find the price per ounce, you divide the total price of the bag by the total number of ounces.
Price per ounce calculation:
Total price of the bag = $2.88
Total ounces in the bag = 32 ounces
Price per ounce = Total price of the bag / Total ounces in the bag
Price per ounce = $2.88 / 32 ounces
Therefore, the price per ounce is $0.09.
Which employee's path is the critical path on this activity graph? Explain how you know that this employee's path is the critical path.
Answer:
Jim's path is the critical path on this activity graph.
Step-by-step explanation:
Critical Path:
Critical path is the the longest path in the project task paths. It shows the least amount of time in which project can be completed. It can be find by looking at the longest path in the network diagram of the project; not in term of nodes or activities instead in term of days.
In given case:
Path 1 Bill task's total duration= 6 days
Path 2 Jim's task's total duration= 17 days
Path 3 Betty task's total duration= 7 days
Path 4 Cynthia task's total duration= 14 days
Hence the longest path i.e. critical path is of Jim's activity path !
Finish this simile. Use your imagination to complete the description.
She is as mean as . . .
She is as mean as my cat.
This is a simile that makes sense because the ferocity of “she” is compared to the ferocity of my cat, which is unmatched.
In Death Valley, California, the highest ground temperature recorded was 94°C on July 15, 1972. In the formula C= 5/9 (F - 32) , C represents the temperature in degrees Celsius and F represents the temperature in degrees Fahrenheit. To the nearest degree, what is the highest ground temperature in Death Valley in Fahrenheit?
Answer:
[tex]F=201.2\°[/tex]
Step-by-step explanation:
we know that
[tex]\°C=\frac{5}{9}[\°F-32][/tex]
For [tex]C=94\°[/tex]
substitute in the formula and solve for F
[tex]94=\frac{5}{9}[F-32][/tex]
[tex](\frac{9}{5})*94=[F-32][/tex]
[tex]F=(\frac{9}{5})*94+32[/tex]
[tex]F=201.2\°[/tex]
Find the quotient. Which expression is the result of dividing?
Answer:
its B
Step-by-step explanation:
Sarah bought 6 pens that each cost the same price and she also bought a package of paper for$1.25.if her total before tax was $10.19 what was the price of each pen?
If you don’t know the tax price/value then you can’t add that on the total amount. So, if we don’t know the value of that we can just forget about it for now.
You do $10.19-$1.25 (to get just the price of the pens) =$8.94
To get the value of one pen just do $8.94 divided by 6 (the total number of pens)=$1.49
$1.49=Price for one pen
Hope this helps :)
Select the point that satisfies
y ≤ x^2 - 4x + 2
A) ( 5,5 )
B) ( 2,2 )
C) ( 4,4 )
D) ( 1,1 )
Answer:
A. (5,5)
Step-by-step explanation:
Plug in (5,5) for the x and y values according to the ordered pair. In this case the equation should turn out like this :5 ≤ 5²- 4(5) + 2Simplify the equation : 5 ≤ 25 - 20 + 25 ≤ 7A is the answer because it satisfies the inequality as 5 is less than or equal to seven. Though, in this case it is just less than, but not equal to.Answer:
A) (5, 5)Step-by-step explanation:
Put the coordinates of the points to the inequality, and check:
y ≤ x² - 4x + 2
for (5, 5) → x = 5, y = 5
5 ≤ 5² - 4(5) + 2
5 ≤ 25 - 20 + 2
5 ≤ 7 CORRECT :)
===============================
for (2, 2) → x = 2, y = 2
2 ≤ 2² - 4(2) + 2
2 ≤ 4 - 8 + 2
2≤ -2 FALSE
===============================
for (4, 4) → x = 4, y = 4
4 ≤ 4² - 4(4) + 2
4 ≤ 16 - 16 + 2
4 ≤ 2 FALSE
================================
for (1, 1) → x = 1, y = 1
1 ≤ 1² - 4(1) + 2
1 ≤ 1 - 4 + 2
1 ≤ -1 FALSE
Find the area of the trapezoid!!!! PLEASE HELP!!!!
64 ft^2
54✔️3 ft^2
32✔️3 ft^2
48✔️3 ft^2
ANSWER
[tex]32 \sqrt{3} {ft}^{2} [/tex]
EXPLANATION
The area of a tra-pezoid is half times sum of the bases times the vertical height.
From the diagram ( see attachment) we use the Pythagoras Theorem to obtain,
[tex] {x}^{2} + {(4 \sqrt{3}) }^{2} = {8}^{2} [/tex]
[tex] {x}^{2} + 48 = 64[/tex]
[tex]{x}^{2} = 64 - 48[/tex]
[tex]{x}^{2}=16[/tex]
[tex]x = \sqrt{16} = 4ft[/tex]
This implies that , y=10-4=6ft
The area of tra-pezoid
[tex] = \frac{1}{2} (10 + 6) \times 4 \sqrt{3} [/tex]
[tex] = \frac{1}{2} (16) \times 4 \sqrt{3} [/tex]
[tex] = 8\times 4 \sqrt{3} [/tex]
[tex] = 32 \sqrt{3} {ft}^{2} [/tex]
What is the slope of the line through the points (–3, 5) and (4, 5)?
The slope here is 0.
Answer:
slope = 0
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 5) and (x₂, y₂ ) = (4, 5)
m = [tex]\frac{5-5}{4+3}[/tex] = [tex]\frac{0}{7}[/tex] = 0
The diagonal of a TV is 28 inches long. Assuming that thia diagonal forma a
pair of 30-60-90 right triangles, what are the exact length and width of the TV?
O
A. 55
inches by 568 inches
O B. 14 inches by 142 inches
O c. 56 inches by 56.5 inches
OD. 14 inches by 14,5 inches
Answer:
Hmm... None of these choices seem to be correct.
Step-by-step explanation:
In 30-60-90 triangles, the length of the shorter leg is half the length of the hypotenuse. In this case, the hypotenuse is the diagonal. So half of 28 is 14. Therefore, the width of the TV is 14 inches. This eliminates answer choices A and C, that would imply the answer is either B or D, but.....In 30-60-90 triangles, the length of the longer leg is [tex]\sqrt{3}[/tex] times the length of the shorter leg. So if we were being exact, the length of the TV is [tex]14\sqrt{3}[/tex] . And if we rounded, the length would be about 24.25. There is no choice in your options that is similar to our conclusions. Maybe you should contact your teacher about this. Have a nice day! :)The exact dimensions of the TV are approximately 14 inches by [tex]14\sqrt{3}[/tex] inches, which simplifies to 14 inches by 142 inches
The correct answer is:
B. 14 inches by 142 inches.
To find the exact length and width of the TV, we can use the properties of a 30-60-90 right triangle. In such a triangle, the side lengths are related as follows: the length of the side opposite the 30-degree angle is [tex]\( \frac{1}{2} \)[/tex] times the length of the hypotenuse, and the length of the side opposite the 60-degree angle is [tex]\( \frac{\sqrt{3}}{2} \)[/tex] times the length of the hypotenuse.
Given that the diagonal of the TV forms the hypotenuse of two 30-60-90 right triangles, let's denote the length and width of the TV as [tex]\( L \)[/tex] and [tex]\( W \)[/tex] respectively, and the length of the diagonal as [tex]\( D \).[/tex]
We have the following equations:
[tex]\[ L = \frac{1}{2}D \][/tex]
[tex]\[ W = \frac{\sqrt{3}}{2}D \][/tex]
Given that the diagonal [tex]\( D = 28 \)[/tex] inches, we can substitute this value into the equations to find the exact length and width:
[tex]\[ L = \frac{1}{2} \times 28 = 14 \text{ inches} \][/tex]
[tex]\[ W = \frac{\sqrt{3}}{2} \times 28 \approx 14\sqrt{3} \text{ inches} \][/tex]
Now, we need to rationalize the denominator for the width:
[tex]\[ W = 14\sqrt{3} \times \frac{\sqrt{3}}{\sqrt{3}} = \frac{42}{\sqrt{3}} \][/tex]
To rationalize the denominator, multiply both numerator and denominator by[tex]\( \sqrt{3} \):[/tex]
[tex]\[ W = \frac{42\sqrt{3}}{3} = 14\sqrt{3} \text{ inches} \][/tex]
So, the exact dimensions of the TV are approximately 14 inches by [tex]14\sqrt{3}[/tex] inches, which simplifies to 14 inches by 142 inches. Therefore, the correct answer is B.
Complete question:
The diagonal of a TV is 28 inches long. Assuming that the diagonal form a pair of 30-60-90 right triangles, what are the exact length and width of the TV?
A. 55 inches by 568 inches
B. 14 inches by 142 inches
C. 56 inches by 56.5 inches
D. 14 inches by 14.5 inches
X2-3x-10=0 jdhdhshsgddhsvsgdhdvs
Answer:
C) (2,-5)
Step-by-step explanation:
easy 4th grade math 1 Q 20 points whaaaaaaaaaaaaatt
yep ANSWER NOW!!!!!!!!!!!!!!!!!!!
Tessellation is when a shape is repeated without any gaps/ spaces and without overlapping.
The semi circle shape shown cannot be uses because there would be gaps on the inner part of the circle.
What is the perimeter of ΔABC?
Answer:
20
Step-by-step explanation:
Two tangent segments drawn to a circle from the same point outside the circle are congruent. The two tangents at A measure 2. The two tangents at B measure 5. The two tangents at C measure 3.
perimeter = 2 + 2 + 5 + 5 + 3 + 3
perimeter = 20
Amber's punch recipe called for 3 quarts of soda and 2 1/2 quarts of fruit juice how many quarts of soda will she need to make 100 quarts of the same punch
i
Step-by-step explanation:
3 quarts of soda + 2½ quarts of fruit juice = 5½ quarts of punch
Writing a proportion:
3 / 5½ = x / 100
5½ x = 300
x = 54 ⁶/₁₁
x ≈ 54.55
Write the equation in slope-intercept form (y=mx+b) that contains the following point with the given slope. Slope = 2 ; (-3, 1) Hint: Use point-slope form first. Then, solve that equation for y.
Answer:
y = 2x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = 2, so
y = 2x + c ← is the partial equation
To find c substitute (- 3, 1) into the partial equation
1 = - 6 + c ⇒ c = 1 + 6 = 7
y = 2x + 7 ← equation in slope- intercept form
here,
given point is (-3,2) and slope(m) is 2
so y=mx + b
or 2=2×(-3) +b
or b=8
the equation is
y=mx+b
or y=2x+8
or2x-y+8=0
two friends spent $55 at the mall. The first friend spent less than the second friend. The difference between the amount each friend spent was $15. to find the amount each friend spent, solve a system of equations using the addition method. What is the next step after writing the system of equations? Find the amount each friend spent.
Answer: first 20 second 35
Step-by-step explanation: