First find the radius by taking half the diameter. Use the radius to find the base area by using the formula for the area of a circle. Find the product of the base area and height, and then take one-third of the product.
Answer:
Step-by-step explanation:
First find the radius by taking half the diameter. Use the radius to find the base area by using the formula for the area of a circle. Find the product of the base area and height, and then take one-third of the product.
100-8301>7320<8393+939=?
A CD usually sells for $14 if the CD is 30% off and still taxes 8% what is the total price of the CD including tax
Which of the following quadratic equations has the solution set (1/2,5)? Select all that apply
(x+1/2)(x-5)=0
(x-5)(2x-1)=0
(x+5)(2x-1)=0
(-2x+1)(-x+5)=0
(x+1/2)(x+5)=0
(-2x+1)(x-5)=0
-2x+6y=12 in graph ???
Can someone help me with number 5
If two parallel lines are cute by a transversal, then pairs of corresponding angles are _____?
The area of a parallelogram is 60 feet the height 5 feet how long is the base
Maria invested $2000 in an account that earns 4.5% interest , compounded annually. The formula for compound interest is A(t) =P(1+l)×
How much did Maria have in the account after 5 years ?
A. $10,450.00
B. $2492.36
C. $2450.00
D. $12,819.47
Answer:
B. $2492.36
Step-by-step explanation:
We are given the formula for compound interest,
[tex]A(t)=p(1+i)^x[/tex] where p is the amount of principal, i is the interest rate and x is the number of years.
In our problem, p is 2000, i = 4.5% = 4.5/100 = 0.045, and x is 5:
[tex]A(t)=2000(1+0.045)^x\\\\A(5)=2000(1.045)^5\approx 2492.36[/tex]
Maria will have [tex]\$\ 2492.36[/tex] in her account after [tex]5[/tex] years.
What is compound interest ?Compound interest is the interest which is received on the principal and the previous interest.
Amount [tex]=P(1+\frac{R}{100})^t[/tex]
We have,
Invested principal [tex]=\$2000[/tex]
Compound interest Rate [tex]=4.5\%[/tex]
Time of investment [tex]=5[/tex] years
So,
Using the above mentioned formula;
Amount [tex]=P(1+\frac{R}{100})^t[/tex]
[tex]=2000(1+\frac{4.5}{100})^5[/tex]
[tex]=2000(1+\frac{9}{200})^5[/tex]
[tex]=2000\ *\ (\frac{209}{200})^5[/tex]
Amount [tex]=\$\ 2492.36[/tex]
So, Amount in Maria's account is [tex]\$\ 2492.36[/tex].
Hence, we can say that Maria will have [tex]\$\ 2492.36[/tex] in her account after [tex]5[/tex] years.
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Please show me the work thank you
Estimating square roots
How do I fill this table in?what are the answers?
its to plot a graph.
plz show working!
Last year, the tree in Pedro's front yard was 5 feet tall. This year, the tree is 2 feet less than the height of Pedro's house. Pedro's house is 17 feet tall. How tall is the tree?
When responding to this question, please justify/explain your answer. You may use words, numbers and/or symbols to answer your question. Please write in COMPLETE sentences.
The tree is 15 feet tall
The tree in Pedro's front yard was 5 ft tall last year.
This year, the tree is 2 feet less than the height of Pedro's house.
let
the height of the tree = x
Therefore,
height of the house = 17 feet
17 - 2 = x
x = 15 ft
Therefore, the tree is 15 feet tall
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The tree in Pedro's front yard is currently 15 feet tall, which is 2 feet shorter than the height of Pedro's 17 feet tall house.
Explanation:Last year, the tree in Pedro's front yard was 5 feet tall. This year, the tree is 2 feet shorter than the height of Pedro's house. If Pedro's house is 17 feet tall, we need to calculate the tree's current height by subtracting 2 feet from the height of the house. Therefore, the tree's current height would be 17 feet - 2 feet = 15 feet tall.
The price of a t-shirt is $50. If you buy 4 shirts, you will get 10% discount. How much do you have to pay if you buy 8 shirts?
Angle Q measures 30 degrees. If angle Q is rotated 15 degrees, what is the measure of angle Q'? 30 degrees 45 degrees 150 degrees 180 degrees
After rotating angle Q, which initially measures 30 degrees, by 15 degrees, the new angle Q' measures 45 degrees.
When we talk about rotating an angle, we are referring to moving the angle around its vertex through a specified measure. If we have angle Q which measures 30 degrees and we rotate it by 15 degrees, we are effectively adding 15 degrees to the original angle. Thus, the measure of angle Q' will be 30 degrees plus 15 degrees which equals 45 degrees. Rotations do not change the original angle but instead give us a new angle based on the original position plus the rotation.
what it is the original price of a new board game that cost $31.25 after a 15% discount
Quadrilateral ABCD is inscribed in a circle. What’s the measure of angle B
Mia soccer practice started at 3:15 p.m. and ended at 4:10 p.m. how long was Mia soccer practice.
Write a real world problem using mixed numbers whose sum is 1 3/5
Final answer:
Sarah has 1 1/5 cups of nuts and must add 2/5 cup of dried fruit to make a total of 1 3/5 cups of trail mix.
Explanation:
Imagine Sarah is making a trail mix for a hiking trip. She already has 1 1/5 cups of nuts and wants to add more dried fruit to reach a total of 1 3/5 cups of trail mix. To find out how much dried fruit she should add, we can set up the equation:
1 1/5 + x = 1 3/5
Converting mixed numbers to improper fractions gives us:
6/5 + x = 8/5
Subtracting 6/5 from both sides, we find that x (the amount of dried fruit to be added) is:
x = 8/5 - 6/5
x = 2/5
Therefore, Sarah needs to add 2/5 cup of dried fruit to the nuts to make 1 3/5 cups of trail mix.
There is a sales tax of $22 on an item that costs $272 before tax. The sales tax on a second item is $19.25. How much does the second item cost before tax?
The sales tax rate was calculated based on the information of the first item, and we found it to be approximately 8.09%. Using this tax rate, the pre-tax price of the second item, on which the sales tax was $19.25, was found to be approximately $237.85.
Explanation:To solve this problem, we first need to determine the percentage rate of the sales tax based on the first item. Given that a sales tax of $22 was applied to an item that cost $272 before tax, we can calculate the tax rate as follows: (22/272)*100 = 8.09%. This indicates that the tax rate is approximately 8.09%.
Next, if we assume that the sales tax rate is the same for the second item, we can calculate the pre-tax price of this item. Given that the sales tax on the second item is $19.25, the price of the item before tax can be calculated as follows: 19.25/0.0809 = $237.85 approximately. Therefore, the second item costs about $237.85 before tax.
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Please help. Find the value of each variable. If your answer is not an integer, express it in simplest radical form.
Can someone please help me find the arc length ?
Solve the system by using substitution
6x+y=12
4x+6y=(-8)
If you use your office computer 40 hours per week, and do not unplug the computer when it is not in use, how much carbon dioxide is produced from the “vampire energy” used by the computer in one year?
Final answer:
A computer that uses 4W of power during 'vampire' mode over weekends throughout a year produces approximately 4.992 kg of CO2 annually. This is calculated by multiplying the total hours in vampire mode by the power consumption and then by the CO2 emission factor for electricity.
Explanation:
To calculate the amount of carbon dioxide produced from the vampire energy used by a computer that is not unplugged, we first have to establish the power consumption while in 'vampire' mode. The power consumed by the computer's LED when it is turned off but not unplugged is stated to be about 4 watts (W).
A year has 52 weeks, and each weekend amounts to 60 hours of the computer being in 'vampire' mode. To find the total number of hours in a year this mode occurs, we multiply 60 hours by 52, which gives us 3,120 hours of energy consumption annually when the computer is in 'standby' mode.
Next, to convert the total power consumed in watts to kilowatt-hours (kWh), we divide the power in watts by 1,000 (since 1 kW = 1,000 W), and then multiply by the total hours per year.
The carbon dioxide emissions can be estimated using an average emission factor for electricity production. For example, if we assume that the emission factor is about 0.4 kilograms of CO2 per kWh (which varies based on local energy sources), we can calculate the total emissions for the computer's vampire energy consumption.
Calculations: 4 W ÷ 1,000 = 0.004 kW
0.004 kW × 3,120 hours/year = 12.48 kWh/year
12.48 kWh/year × 0.4 kg CO2/kWh = 4.992 kg CO2/year
Therefore, the computer produces approximately 4.992 kg of CO2 annually from vampire energy when not unplugged over weekends.
solve on the interval [0, 2pi) : 3 sec x -2 = 1
The equation 3sec (x) -2 = 1 solved on the interval is x = 0
How to solve the equation on the intervalFrom the question, we have the following parameters that can be used in our computation:
3sec (x) -2 = 1
Express sec(x) as 1/cos(x)
So, we have
3 * (1 / cos (x)) - 2 = 1
Add 2 to both sides
3 * (1 / cos (x)) = 1 + 2
Evaluate the like terms
3 (1 / cos (x)) = 3
Divide through by 3
(1 / cos (x)) = 3/3
So, we have
cos (x) = 1
Take the arc cos of both sides
x = 2nπ
On the interval [0, 2π), we have x = 0
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which number is greater than -24
(A) -42
(B) -27
(C) -16 (my answer **)
(D) -30
What is the lowest degree that a polynomial can have and explain.
q^2 + 11qr + 18t^2
x^2 - 14xy - 15y^2
On a piece of paper, use a protractor to construct a triangle with angle measures of 60° and 80°.
A triangle with angle measures of 60° and 80° is_____triangle.
solve for f
d=16ef^2
Here are a bunch of CORRECT answers. Your answer is in the first pic. I got number 3 wrong, but it still showed the correct answer.
simplify 2d(3) expression
Final answer:
The expression 2d(3) is simplified by multiplying 2 by 3, yielding 6, and then by d, resulting in 6d.
Explanation:
To simplify the expression 2d(3), you simply need to multiply the variable d by the number 2 and then multiply the result by the number inside the parentheses, which is 3. This is straightforward multiplication, similar to the distributive property used in algebra to simplify expressions.
The simplified form of the expression is found by multiplying 2 by 3, giving us 6, and then multiplying that result by d. Hence, 2d(3) simplifies to 6d.