Answer:
Step-by-step explanation:
[tex]Width=\frac{Area}{length}\\\\=\frac{36}{9}\\\\[/tex]
= 4 inches
Answer:
9×W=36 or 36÷9=W
Step-by-step explanation:
to find the area of a figure you multiply L×W in this situation you only have length. soo find what times 9 = 36 or 36÷9 to find Width
The graph of y = f '(x), the derivative of f(x), is shown below. Given f(-4) = 2, evaluate f(4).
The options are:
0
2
8
10
Answer:
2
Step-by-step explanation:
f'(x) is an odd function (symmetrical about the origin), therefore f(x) is an even function (symmetrical about the y-axis). So f(x) = f(-x).
Since f(-4) = 2, f(4) = 2.
We can also show this using integrals:
f(-4) = ∫₀⁻⁴ f'(x) dx + C
2 = ½ (-4)(-2) + C
2 = 4 + C
C = -2
f(4) = ∫₀⁻⁴ f'(x) dx − 2
f(4) = ½ (4)(2) − 2
f(4) = 4 − 2
f(4) = 2
Your friend is investing in a 401(k) that promises 2% annual growth. He plans on investing $250 each month for 25 years. Excel returns a value of $97,205.28 for the balance in the 401(k) after 25 years. How much interest is earned in the account after 30 years?
Final answer:
After 30 years of monthly $250 contributions to a 401(k) with a 2% annual growth rate, the interest earned on the account is approximately $65,961.73.
Explanation:
To calculate the amount of interest earned in the 401(k) after 30 years with a 2% annual growth rate, we first need to figure out the future value of the account. We use the formula for the future value of an annuity, as the investments are made at regular intervals (monthly).
The formula is: FV = P *rac{(1 + r)^n - 1}{r}
Where:
FV is the future value of the annuity.
P is the payment amount per period.
r is the interest rate per period.
n is the total number of payments.
Since contributions are made monthly, the annual interest rate (2% or 0.02) is divided by 12 to get the monthly rate, and the total number of contributions is multiplied by 12 to account for monthly contributions over 30 years.
For an investment of $250 per month at a monthly rate of 0.02/12, over 360 months (30 years), we get:
FV = $250* rac{(1 + 0.02/12)^{360} - 1}{0.02/12}
Now we calculate the future value:
FV ≈ $250 * rac{(1 + 0.0016667)^{360} - 1}{0.0016667}
FV ≈ $250 * rac{(1.0016667)^{360} - 1}{0.0016667}
FV ≈ $250 * rac{2.0398873 - 1}{0.0016667}
FV ≈ $250 * 623.8469386
FV ≈ $155,961.73
The total amount invested over 30 years is $250 * 12 *30 = $90,000.
The interest earned is therefore:
Interest = FV - Total amount invested
Interest ≈ $155,961.73 - $90,000
Interest ≈ $65,961.73
So the interest earned on the account after 30 years is approximately $65,961.73.
A number m increased by 5 is 7.
Answer:
m+5=7
"A number m" will be a unknown nmber known as a variable. So it will be m.
"Increased by 5" is addition. So you are adding 5.
"Is 7" is equal to 7. it will be =7.
So when you put this together it will give you m+5=7
You received $97 in all selling paintings. You sold one painting for $29 and the rest for $17 each. Solve the equation below to find x, the number of $17 paintings you sold.
17x + 29 = 97
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
97=29+17x
subtract 29 from both sides
68=17x
divide both sides by 17
4=x
whats the perimeter
Perimeter is the sum of the outside dimensions:
4 + 5 + 1 + 5 + 9 = 24 inches.
Dan bought a new computer for $900. Each year, the value of the computer decreased by 25% of the previous year's value. At this rate, what can Dan expect the approximate value of the computer to be after 7 years?
Answer:
$120.1355
Step-by-step explanation:
We can model this as an exponencial function:
P = Po * (1+r)^t
Where P is the final value, Po is the inicial value, r is the rate and t is the amount of time.
For this case, we have that Po = 900, r = -25% = -0.25 and t = 7, so we can find the value of P
P = 900 * (1 - 0.25)^7 = $120.1355
The price after 7 years will be $120.1355.
To calculate the value of Dan's computer after 7 years of 25% annual depreciation, we use the exponential decay formula. The approximate value of the computer after 7 years is $120.14.
To calculate the approximate value of Dan's computer after 7 years with a depreciation rate of 25% per year, we can use the formula for exponential decay:
[tex]V = P(1 - r)^t[/tex]
V is the future value of the computer.P is the original price of the computer ($900).r is the rate of depreciation (25% or 0.25).t is the time in years (7 years).Plugging in the values, we get:
[tex]V = $900(1 - 0.25)^7[/tex]
[tex]V = $900(0.75)^7[/tex]
V = $900 * 0.1334838867
Therefore, the approximate value of the computer after 7 years is:
V = $120.14
Dan can expect the computer to be worth approximately $120.14 after 7 years.
A county manager used a representative sample of two populations in the county to determine the number of pounds of trash thrown away per person per week. The results are shown in the dot plots below. Sample 1: A dot plot titled Sample 1. A number line going from 0.5 to 2.5 in increments of 0.5 is labeled Pounds of Trash. There is 1 dot above 0.5, 3 above 1, 4 above 1.5, 2 above 2, and 2 above 2.5. Sample 2: A dot plot titled Sample 2. A number line going from 0.5 to 2.5 in increments of 0.5 is labeled Pounds of Trash. There are 2 dots above 0.5, 3 above 1, 4 above 1.5, 2 above 2, and 1 above 2.5. The town manager uses the median to show that the average amount of trash thrown away per person per week in each sample is the same. What is the town manager's error?
Answer:
its B
Step-by-step explanation:
Answer:
it is b
Step-by-step explanation:
i took the test
what is the value of z?
z=2³
Answer:
8
Step-by-step explanation:
Ok here's the solution. I'm typing this to get 20+ characters:
2^3 = 2 x 2 x 2
= 8
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{z = 2^3}[/tex]
[tex]\mathsf{2^3 = z}[/tex]
[tex]\mathsf{2^3}[/tex]
[tex]\mathsf{= 2 \times 2 \times 2}[/tex]
[tex]\mathsf{= 4 \times2}[/tex]
[tex]\mathsf{= \bf 8}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Therefore, your answer is: z = \bf 8 (Option A)}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]2+3x=-4(5+2x) need help for this question.
Answer:
x=-2
Step-by-step explanation:
2+3x=-20-8x
22=-11x
x=-2
Answer:
[tex]x = -2[/tex]
Step-by-step explanation:
[tex]2 + 3x = - 4(5 + 2x) \\ 2 + 3x = - 20 - 8x \\ 3x + 8x = - 20 - 2 \\ 11x = - 22 \\ \frac{11x}{11} = \frac{-22}{11} \\ x =- 2[/tex]
Cost to store: $75
Percent of Markup:
Selling price: $112.50
Answer:
15%
Step-by-step explanation:
pretty sure thats right
Final answer:
The student's question involves a business math concept of calculating the percent markup from the cost and selling price, resulting in a 50% markup for this example.
Explanation:
The question involves calculating the percent markup based on the cost to store an item and its selling price.
To find the percent of markup, you subtract the cost to store from the selling price and then divide by the cost to store.
Finally, multiply by 100 to get the percentage.
For example, if an item costs $75 to store and sells for $112.50, the markup is ($112.50 - $75) / $75 = 0.50, or 50%.
This is an example of a basic markup calculation commonly covered in business and economics classes in high school.
Amanda has a ribbon that is 6 feet long. She wants to cut it into 12 equal pieces. How long will each piece be? Write the steps, in order, you would take to solve the problem. * 2 points Your answer
Answer:
Each of the pieces will be 0.5 feet long
Step-by-step explanation:
In this question, we are asked to calculate the individual length Anita will cut a ribbon 6 feet long into to ensure that each of the piece has the same length.
To calculate this, since we don not know what length each of the piece would be, we can say let the length of each of the pieces be x feet
Now, we know that there are 12 pieces that are equal in length. The length of all these 12 pieces would be 12 * x = 12x feet
Now what do we know again?
We also know that these 12x feet equals a total of 6 feet
mathematically therefore;
12x = 6
x = 6/12
x = 0.5 feet
Answer: Each piece will be 1/2 feet long.
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given.
We simply have to divide the length of the ribbon (6) by the number of pieces that she wants to cut (12).
Mathematically speaking:
6 /12 = 1/2
In conclusion, each piece will be 1/2 feet long.
Feel free to ask for more if needed or if you did not understand something.
In triangle ABC, if sin A= 4/5 and tan A= 4/3, the what is cos A? 3/5 4/5 3/4 5/3
Answer:
3/5
Step-by-step explanation:
If Ryan paid $63 for shoes that were regularly priced at $90, what was the percent discount of the
sale?
Answer:
30% off
Step-by-step explanation:
63 is 70% of 90 which means that 30 percent of the price is off.
Please mark me brainliest. I need it. Hope this helps
Look at the graph of the linear function. On a coordinate plane, a line goes through 4 points. Point A is (negative 2, negative 4), point B is (negative 1, negative 2), point C is (1, 2), and point D is (2, 4). The rate of change between point A and point B is 2. What is the rate of change between point C and point D?
Answer:
2
Step-by-step explanation:
For a linear function, the rate of change is the same everywhere. It is the same between points C and D as it is between points A and B: 2.
The rate of change between points C and D is 2.
Answer:
D
Step-by-step explanation:
David picks a card at random.
Without putting the first card back, he picks a second card at random.
Are these two events dependent or independent?
Answer:
dependent
Step-by-step explanation:
This question assumes that we're working with a standard full deck of cards. There are 52 unique cards in such a deck.
If David picks a card at random and doesn't put it back, then the number of unique cards left in his deck is 51.
These two events are dependent because the withdrawal of 1 card changes the probability of drawing any other of these 51 cards
An above-ground swimming pool is leaking. After 1/2 an hour the pool has leaked 3/4 of a gallon of water. How many gallons of water per hour is the swimming pool leaking?
Answer:
1.5 GPH.
Step-by-step explanation:
Hello there!
Since we are given the amount that leaked out in half an hour, we can multiply it by 2 to get the final amount in gallons per hour (GPH).
:)
Answer: [tex]\frac{3}{2}[/tex] gallons of water per hour
Step-by-step explanation:
If [tex]\frac{3}{4}[/tex] of a gallon of water are leaked in half an hour, I conclude that if I multiply that by 2, it will give the result of gallons of water leaking per hour.
[tex]\frac{3}{4}*2=\frac{3}{2}[/tex]
how do i find the area of this shape?
Answer: 288
Parallelogram Area Using Sides
Suppose a and b are the set of parallel sides of a parallelogram and h is the height, then based on the length of sides and height of it, the formula for its area is given by: Area = Base × Height. A = b × h [sq.unit]
Answer:
288 ft
Step-by-step explanation:
The height is 16 and the base is 18.
base times height equals area in a parallelogram.
16x18=288
Select the correct locations on the graph.
There are 10 students in Jenna’s skating class. The data gives the ages and the heights of these students. Select the points that represent this data.
Age (years) Height (cm)
11 140
12 145
12 151
13 160
14 155
14 161
15 170
15 179
16 175
16 179
It should look like the photo I've attached.
The points that represent the data are of the form (age, height), and the graph can be seen below.
Which points represent the data?
Here we have the table:
Age (years) Height (cm)
11 140
12 145
12 151
13 160
14 155
14 161
15 170
15 179
16 175
16 179
Then the points that represent the data are of the form (age, height).
So we have 10 points:
(11, 140), (12, 145), (12, 151), (13, 160), (14, 155), (14, 161), (15, 170), (15, 179), (16, 175), (16, 179).
The graph of these 10 points can be seen below:
If you want to learn more about graphing:
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write -4-10 in addition
Answer:
14
Step-by-step explanation:
In mathematics, sum can be defined as the result or answer we get on adding two or more numbers or terms.
(-4)-10=14
Is the number 3 a rational number?
Answer:
Yes.
Step-by-step explanation:
The number 3 is a natural number, and all of these types of numbers are rational.
Another way to look at it is if a number can be written as a fraction, the number is rational.
Answer:
in fact yes
Step-by-step explanation:
it is since it's actually a normal number
35×712÷2710==============================================
Answer:
9.19
Step-by-step explanation: please give brainliest
PLZ HELP !! no guessing
Answer:
9 /16 cups
Step-by-step explanation:
Take the number of cups and divide by the number of servings
2 1/4 ÷ 4
Change to an improper fraction
9/4 ÷4
Copy dot flip
9/4 * 1/4
9 /16
Answer: 9/16
Step-by-step explanation: First, take the number of cups and divide by the number of servings. So we have 2 and 1/4 ÷ 4.
Now, rewrite 2 and 1/4 as the improper fraction 9/4 an 4 as 4/1.
So we have 9/4 ÷ 4/1.
Now, dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division sign to multiplication and flip the second fraction. So 9/4 ÷ 4/1 can be rewritten as 9/4 × 1/4.
Now, multiply across the numerators and denominators to get 9/16.
So there are 9/16 cup of raisins in each serving.
the function g(x)= f(x+3)+2. Which of the following is true of the graph of g(x)
Answer:
You forgot to put the answer options.
Step-by-step explanation:
Answer:b. The graph of g(x) is shifted 3 units to the left and 2 units above the graph of f(x)
Step-by-step explanation:
Name 2 decimals with a difference of 0.35.
Answer:
1.00 and 0.65
Step-by-step explanation:
:D
To find two decimals with a difference of 0.35, you can start with any decimal and add or subtract 0.35 from it.
Explanation:To find two decimals with a difference of 0.35, we can start with any decimal and add or subtract 0.35 from it. Here are two examples:
Decimal 1: 3.65 - 0.35 = 3.3Decimal 2: 5.45 + 0.35 = 5.8These decimals have a difference of 0.35 between them.
solve each system by elimination 3x-y=-2 -2x+y=2
The solution to the system of equations is (x, y) = (0, 2).
To solve the system of equations using the elimination method, we'll eliminate one of the variables by adding or subtracting the equations. Let's proceed:
Given the system of equations:
3x - y = -2
-2x + y = 2
We'll add the two equations together to eliminate the variable y:
(3x - y) + (-2x + y) = (-2) + 2
This simplifies to:
3x - y - 2x + y = 0
x = 0
Now, substitute x = 0 into one of the original equations to solve for y. Let's use the first equation:
3(0) - y = -2
-y = -2
y = 2
So, the solution to the system of equations is (x, y) = (0, 2).
The citizens of the Union were always happy with how the war was going.
True
Or
False
Answer:
False
Step-by-step explanation:
Lemme know if it helped
What is the area of the 8 ft by 12 ft rectangle
Answer:
96
Step-by-step explanation:
Multiply 8 and 12.
Seth made a small rectangular table from his workroom the sides of the table or 1.3 mm and 2.8 mm what is the length of the diagonal of the table
Answer:
3.08mm
Step-by-step explanation:
use Pythagorean Theorem. 1.3^2 + 2.8^2 = 9.53 sqrt of 9.53 = 3.08
Answer:
3.087
Step-by-step explanation:
[tex] = \sqrt{ {1.3}^{2} + {2.8}^{2} } \\ = \sqrt{1.69 + 7.84} \\ = \sqrt{9.53} \\ = 3.087[/tex]
A pedestal on which a statue is raised on is a rectangular concrete solid measuring nine
feet long, nine feet wide, and six inches high. How much is the cost of the concrete in the
pedestal, if concrete costs $70 per cubic yard?
Answer:
The cost of the rectangular concrete solid is $104.87Step-by-step explanation:
If the pedestal on which a statue is raised on is a rectangular concrete solid measuring nine feet long, nine feet wide, and six inches high, the volume of the rectangular concrete solid will be expressed as shown;
Volume of the rectangular concrete solid = Length * Width * Height
Given Length = 9ft, Width = 9ft and Height = 6inches
Converting all the units to yards
Given 1ft = 0.333yard
Length = 9 * 0.333 = 2.997yards
Width = 9* 0.333 = 2.997yards
Also given 1inch = 0.0278yard
Height = 6 * 0.0278yards = 0.1668yards
Volume of rectangular concrete solid in cubic yards = 2.997*2.997*0.1668
Volume of rectangular concrete solid in cubic yards = 1.4982cubic yards
If concrete costs $70 per cubic yard, the cost of the rectangular concrete solid will be 1.4982 *$70 = $104.87
The number of miles that Kiki cycled in a seven-week period Is shown: 6, 3, 9, 2, 4, 3, 1. What is the mean number of miles Kiki cycled?
Answer:
4
Step-by-step explanation:
6 + 3 + 9 + 2 + 4 + 3 + 1 =
9 + 11 + 7 + 1 =
20 + 8 =
28
28 / 7 =
4
The required mean number is 4 miles that Kiki cycled every day.
Given that,
The number of miles that Kiki cycled in a seven-week period Is shown: 6, 3, 9, 2, 4, 3, 1. What is the mean number of miles Kiki cycled is to be determined.
The average of the values is the ratio of the total sum of values to the number of values.
Mean = total sum of the reading/number of readings
Mean = (6 + 3 + 9 + 2 + 4 + 3 + 1) / 7
Mean = 28 / 7
Mean = 4
Thus, the required mean number is 4 miles that Kiki cycled every day.
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