The perimeter of a rectangular painting is 336 centimeters. If the width of the painting is 71 centimeters, what is its length?
Answers
194 (divided) 2 = 97
The width is 97cm
Hope this helped :)
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The teacher asked 4 students to measure 4 different objects. The table shown represents their measurements. Which student had the largest percent error?
A motorist traveled 311 miles on 12 gallons of gas. To the nearest tenth, how many miles can the motorist travel on one gallon of gas?
Tulio's plant 40 inches tall in May. InJune, it grew 3 inches. In July, it grew 4 times as much as it grew in june.
What is the range of #17
b. the account pays 2.25% annual interest compounded monthly
c. the account pays 2% annual interest compounded daily
(SHOW YOUR WORK)
Answers
.03 ÷ 4 = .0075. Add 1 to include your principal. 1.0075 and raise it to the 12th power since you will be doing this 4 times a year for 3 years (4 x 3 =12).
Since you want 3000 at the end of this period you should do:
3000 ÷ (1.0075¹²) and you get $2742.71 which is how much you should put in.
B) .001875 is the monthly rate of 2.25% (.0225 divided by 12)
This time we have to do it to the 36th power since there are 36 months in 3 years.
Don't forget to add the 1 to include your money.
3000 ÷ (1.001875¹²) = $2804.36
C) 2% compounded daily means .02 ÷ 365 = (about) .00005479
Once again we add our principal by putting a 1 in front 1.00005479
3000 ÷ (1.00005479¹⁰⁹⁵) (1095 because 365 x 3 years = 1095 days)
= $2825.31
Just to emphasize why I always added 1. Since I am dividing, dividing by 1 givesyou the same as you start with (3000 ÷1 is still 3000) The small numbers after the 1 reduce the amount (3000) to the amount you will have to put in to realize $3000 at the end of each time period.
Final answer:
To have $3000 in the savings account after 3 years, you should deposit $2688.97 for situation a, $2669.29 for situation b, and $2667.99 for situation c.
Explanation:
To find the amount you should deposit for each situation, we can use the formula for compound interest:
A = P(1 + (r/n))^(nt)
where A is the final amount, P is the principal amount (the initial deposit), r is the annual interest rate (in decimal form), n is the number of times interest is compounded per year, and t is the number of years.
Using the given information, we can calculate:
- For situation a (3% annual interest compounded quarterly), we have A = $3000, r = 3% = 0.03, n = 4 (since interest is compounded quarterly), and t = 3. Rearranging the formula, we get:
P = A / (1 + (r/n))^(nt) = $3000 / (1 + (0.03/4))^(4*3) = $2688.97 (rounded to two decimal places). - For situation b (2.25% annual interest compounded monthly), we have A = $3000, r = 2.25% = 0.0225, n = 12 (since interest is compounded monthly), and t = 3. Substituting these values into the formula, we get:
P = A / (1 + (r/n))^(nt) = $3000 / (1 + (0.0225/12))^(12*3) = $2669.29 (rounded to two decimal places). - For situation c (2% annual interest compounded daily), we have A = $3000, r = 2% = 0.02, n = 365 (since interest is compounded daily), and t = 3. Plugging these values into the formula, we get:
P = A / (1 + (r/n))^(nt) = $3000 / (1 + (0.02/365))^(365*3) = $2667.99 (rounded to two decimal places).
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A of Figure 1 results in Figure 2.
Answers
The transformation of Figure 1 results in Figure 2 is Rotation.
What is Transformation?
A transformation is a broad phrase covering four distinct methods of changing the shape and/or position of a point, line, or geometric figure. The Pre-Image is the original shape of the object, and the Image during the transformation is the final shape and location of the object.
Transformations in geometry are categorized into three;
- Translation
- Rotation
- Reflection
- Scaling/Dilation
As we translate, we move a figure in any direction.
When we flip a figure over a line, we call this reflection.
When we rotate a figure a given amount around a point, we call this rotation.
As we dilate, we enlarge or contract a figure.
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Answer: rotation
Step-by-step explanation:
a rotation about 90degrees
Answers
Answers
$20.77 + $3.66 = $24.43
The answer us $24.43
Answers
2 acute angles, 1 right angle
1 acute angle, 1 right angle, 1 obtuse angle
1 acute angle, 2 obtuse angles
2 acute angles, 1 obtuse angle
Answers
Answer:
- 3 acute angles
- 2 acute angles, 1 right angle
- 2 acute angles, 1 obtuse angle
Step-by-step explanation:
We have to check under which condition a triangle will exist.
- According to angle sum property of the triangle, the sum of all the three angles of a triangle is 180 degrees.
- An acute angle is an angle with a a measure less than 90 degrees
- A right angle is an angle with a measure of 90 degrees.
- An obtuse angle is an angle with a measure of greater than 90 degrees.
1. It is possible to have triangle with three acute angle
Example: A triangle with all the three angles of 60 degrees
2. It is possible to have a triangle with 2 acute angles and 1 right angle.
Example: A triangle with all the two angles of 45 degrees and one right angle.
3. It is not possible to have a triangle with 1 acute angle, 1 right angle and 1 obtuse angle. It will violate the angle sum property of triangle.
4. It is not possible to have a triangle with 1 acute angle and 2 obtuse angles. It will violate the angle sum property of triangle.
5. It is possible to have a triangle with 2 acute angles and 1 obtuse angle.
Example: A triangle with all the angles of 45 degrees, 40 degrees and 95 degrees
3 acute angles2 acute angles, 1 right angle
2 acute angles, 1 obtuse angle
Triangles DON'T exist for:
1 acute angle, 1 right angle, 1 obtuse angle
1 acute angle, 2 obtuse angles