Caelan has $ 7,500 in an account that earns 3.2% compounded interest annually. If she doesn't touch the money, how much will it be after 5 years?
7500(1+0.032)5=
1.032 to the power of 5= 1.171
7500x 1.171=8,782
The garden has an area of 84 square feet. The length must be 8 feet more than the width. Which of these values is the width of the garden? A.2
B.6
C.10
D.15
E.20
or
F.42
Answer:
answer choice c is correct
Can someone help me, please!!
The playing field for a particular sport is a rectangle whose length is 4 feet more than twice the width. The perimeter of the playing field is 200 feet. Find the dimensions of the playing field.
Answer:
The length and width of the field are 68ft and 32ft respectively
Step-by-step explanation:
Given:
Rectangular Playing Field
Perimeter. P = 200 ft
Required
The dimension of the field (Length and Width)
Let L and W represent the length and the width of the field.
From the question, L is 4 more than twice of W.
This means
L = 4 + 2W
Provided that the playing field is rectangular in shape;
We need to make use of the formula of perimeter of a rectangle.
P = 2(L + W)
Substitute 200 for P
200 = 2(L + W)
Divide through by 2
[tex]\frac{200}{2} = \frac{2(L + W)}{2}[/tex]
100 = L + W
Recall that L = 4 + 2W
Substitute 4 + 2W for L
100 = L + W becomes
100 = 4 + 2W + W
100 = 4 + 3W
Subtract 4 form both sides
100 - 4 = 4 + 3W - 4
96 = 3W
Divide both sided by 3
[tex]\frac{96}{3} = \frac{3W}{3}[/tex]
32 = W
W = 32
Recall that L = 4 + 2W
Substitute 32 for W
L = 4 + 2(32)
L = 4 + 64
L = 68
Hence the length and width of the field are 68ft anf 32ft respectively
In Mr.Ford’s class, 3 out of 25 students are left-handed. Whick of the following is the percent of “lefties” in Mr. Ford’s class?
Answer:
12%
Step-by-step explanation:
[tex]\frac{3}{25} = \frac{12}{100} = 12%[/tex]The measure of an exterior angle of a triangle is equal to which of the following measures?
A. The measure of its complementary angle
B. The measure of its adjacent angle
C. The sum of the measures of the interior angles
D. The sum of the measures of its remote interior angles
Answer:
C. The sum of the measures of the interior angles
Step-by-step explanation:
An exterior ∠ is equal to the addition of the two Δ angles not right next to it.The 2 exterior angles at each vertex are = in measure because they are vertical angles.
• The exterior angles (taken one at a vertex) always total 360º
What is the measure of angle x
Answer:
x =83
Step-by-step explanation:
supplementary angles add to 180 degrees
x+y = 180
We know y is 97
x+97= 180
Subtract 97 from each side
x+97-97= 180-97
x =83
Answer:
It is 83
Step-by-step explanation:
Supplementary is 180 degrees
180-97=83
find the volume of a cylinder with a radius of 8. and the height as 11
Answer:
V = 2210.56
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
V = pi (8)^2 11
V = pi 704
Letting pi = 3.14
V = 2210.56
Anybody know the answer for this ?asking for a friend
Answer:
B. Congruent - SAS
HELP ASAP
Find the volume of the corner, R measures 10 feet, height measures 30 feet
Answer:
3141.59
Step-by-step explanation:
Answer:
[tex]3141.59 \: \: {ft}^{3} [/tex]
Step-by-step explanation:
[tex]V
=
π
{r}^{2}
\frac{h}{3}
\\
=
π
·
{10}^{2}
·
\frac{30}{3}
\\
≈
3141.59265
[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
You have a square prism with a base side length of 8 in. and a height of 14 in. And a sphere with a diameter of 12 in.
A. Which figure has the lesser volume? SHOW ALL WORK
B. Would the same be true if the height of the prism was 14.2in? SHOW ALL WORK EXPLAIN
Look at the attached picture
Hope it will help you
Good luck on your assignment
How many tenths is 0.4
0.4 has 4 tenths
Look at 0.4 as 0.40
Divide the 40 by 10 and get 4
-Hope this helped!
Answer:
The are 4 tenths in 0.4
Step-by-step explanation:
This is because when looking at a place value table the digit 4 is in the tenths column and so means there are 4 tenths.
To work this out you would look at what place are the tenths and then look at the digit in the corresponding place
5) A bowl contains 6 tangerines and 4 apples. John randomly selects one piece of fruit, and then Pam randomly selects one of
the remaining pieces of fruit. What is the probability that John selects a tangerine and Pam selects an apple?
Pls help
Keith has 3 3/4 books left to read for school. Keith read 1 1/4 books on Monday.
How many more books does Keith have to read?
Answer:
2 2/4 or 2 1/2
Step-by-step explanation:
since its like denominators,
3 minus 1= 2
then you move onto fractions
3/4 minus 1/4= 2/4
and if you wanted to simplify 2/4= 1/2
The number of grams of a radioactive isotope present after t years is 1,500(1/2)^t. What does 1,500 represent if
t>0
A. The original number of grams of the radioactive isotope present
B. The number of grams of the radioactive isotope present after 1/2 year
C. The number of grams of the radioactive isotope present after 2 years
D. The final number of grams of the radioactive isotope present
The value 1500 in the expression represents option A. The original number of grams of the radioactive isotope present.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given an exponential expression,
The number of grams of a radioactive isotope present after t years is 1,500(1/2)^t.
Here t is the number of years.
1/2 is the rate of decay of the isotope.
1500 is the initial amount.
We can say that the expression equals 1500 when t = 0.
But it is given that t > 0.
That is, 1500 is the amount which is equal to the original number of grams of isotope.
Hence the number 1500 represents the original number of grams of the radioactive isotope present.
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What is the solution to the system of equations?
7x-2y = -24
5x+ 5y = 15
(2, 5)
(-2,5)
(-2,-5)
(2,5)
Answer:
-2,5
Step-by-step explanation:
Scenario 1
Karissa has been working at her job in retail for three years. She’s looking forward to the raise she’ll be getting next month when the minimum wage goes up by $0.50. She plans to use some of the extra money to pay her bills and save the rest.
Scenario 2
Marta has owned her popular clothing store for 10 years. She prides herself on offering good service to all her customers. To achieve this level of service, she has always had five employees work in the store every day. She will have to increase the hourly wage she pays her employees next month when the minimum wage goes up. She is concerned about how she will come up with the extra money to pay her employees. She’s trying to decide between two options: increasing the prices she charges for items and reducing the number of employees working in the store each day.
How do Karissa and Marta differ in their reactions to the increase in the minimum wage?
Answer:
Karissa is happy with the increase in minimum wage. She will be able to save money.
Marta is worried because she has to choose between increasing the prices of her items and reducing the number of employees.
What is the volume of the composite solid?
Answer:
Step-by-step explanation:
In order to find the volume of a composite solid, one needs to identify the different parts it is made of. This decomposition allows working out the volume of each part independently. The volume of the composite solid is simply the sum of the volumes of its parts.
You are wakeboarding on a river. You travel 2 miles downstream to a marina for supplies, and then you travel 3 miles upstream to a dock. The boat travels x miles per hour during the entire trip, and the river current is 3 miles per hour.
How long will the trip take when then speed of the boat is 18 miles per hour? Round to the nearest tenth minute.
Let x represent the speed of of boat.
We have been given that the river current is 3 miles per hour.
The speed of boat upstream will be [tex]x-3[/tex].
The speed of boat downstream would be [tex]x+3[/tex].
[tex]\text{Time}=\frac{\text{Distance}}{\text{Speed}}[/tex]
We have been given that you travel 2 miles downstream to a marina for supplies, and then you travel 3 miles upstream to a dock.
We can represent this information in an equation as:
[tex]\text{Time}=\frac{2}{x+3}+\frac{3}{x-3}[/tex]
Since the speed of the boat is 18 miles per hour, so we will substitute [tex]x=18[/tex] in above equation and solve for time.
[tex]\text{Time}=\frac{2}{18+3}+\frac{3}{18-3}[/tex]
[tex]\text{Time}=\frac{2}{21}+\frac{3}{15}[/tex]
[tex]\text{Time}=\frac{2}{21}+\frac{1}{5}[/tex]
[tex]\text{Time}=\frac{2\cdot 5}{21\cdot 5}+\frac{1\cdot 21}{5\cdot 21}[/tex]
[tex]\text{Time}=\frac{10}{105}+\frac{21}{105}[/tex]
[tex]\text{Time}=\frac{31}{105}[/tex]
[tex]\text{Time}=0.295238095[/tex]
Since time is in hours, so let us convert our given time in minutes.
1 hour = 60 minutes.
[tex]\text{Time}=0.295238095\times 60\text{ minutes}[/tex]
[tex]\text{Time}=17.7142857\text{ minutes}[/tex]
Rounding to nearest tenth of minute.
[tex]\text{Time}\approx 17.7\text{ minutes}[/tex]
Therefore, it will take approximately 17.7 minutes for the boat to take the trip.
Find the area of the sector of the circle.
Answer:
9π
8
Step-by-step explanation:
Formula= (x/360) π r^2
(45/360)3^2= 9
8
(Don't forget the π)
Answer= 9π
8
PLEASE REPLY ASAP (quadratic formula)
Answer: c
Step-by-step explanation:
What is the solution to the inequality |X-4|<3?
-7
1
x < -7 or x < -1
x> 1 or x<7
mutlak değerden + veya- çıkar.
|X-4|<3
-3 <x-4 <3
-3+4 <x <3+4
1 <x <7
The solution to the inequality |x-4| < 3 is x> 1 or x<7
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
An inequality,
|x-4| < 3.
Simplifying,
-3 < x - 4 < 3
Adding 4 to all sides,
1 < x < 7
Therefore, the solution is 1 < x < 7.
To learn more about the inequality;
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2 right triangles have identical angle measures but different side lengths. The first triangle has side lengths of 6, 10, 8 and the second triangle has side lengths of 3, 5, 4. Which transformation maps the large triangle onto the small triangle? dilation reflection rotation translation
Answer:
Dilation
Step-by-step explanation:
The transformation maps the large triangle onto the small triangle will be dilation. Then the correct option is A.
What is a transformation of geometry?A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.
Dilation does not change the shape, but changes the size of the geometry.
2 right triangles have identical angle measures but different side lengths.
The first triangle has side lengths of 6, 10, 8 and the second triangle has side lengths of 3, 5, 4.
The transformation maps the large triangle onto the small triangle will be
6 / 3 = 10 / 5 = 8 / 4 = 2
Then the small triangle is dilated by 2.
Then the correct option is A.
More about the transformation of geometry link is given below.
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A rectangle is 36 inches x 48 inches.
Pin.
What is its perimeter?
What is its area?
Answer:
Area is: 1,728 inches
Perimeter is: 168 inches
Step-by-step explanation:
Area= Length times width
Perimeter= length plus length plus width plus width.
Answer:
1.728 is the perimeter. the area is 84.
Step-by-step explanation:
all you do multiply for perimeter and add for area.
The baseball diamond at a playground is a square with sides that measure 90 feet, About how long would a straight line be from home plate to second base? Round your answer to the nearest tenth
A 127.3 feet
B 180 feet
C 90 feet
D 16,200 feet
Answer:
A straight line from home plate to second base would have distance:
D = sqrt(2 x 90^2) = 127.3 feet
=> Option A is correct
Hope this helps!
:)
The distance from the home plate to second base in a straight line is required.
The required distance is option A 127.3 feet.
SquareA baseball field is in the shape of a square this means that all corners have the angle [tex]90^{\circ}[/tex]
So, two sides of the square can act as legs of a right triangle and the diagonal can act as the hypotenuse.
A straight line between the home plate and second base would be the diagonal of the square.
The length of each side of the square is 90 feet.
Applying the Pythagoras theorem
[tex]d=\sqrt{90^2+90^2}\\\Rightarrow d=90\sqrt{2}\\\Rightarrow d=127.279\approx 127.3\ \text{feet}[/tex]
Learn more about squares:
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josh built a circular flower bed in his backyard. the radius of the flower bed is 12 feet. he wants to find the circumference of the flower bed. he uses 3.14 for pi. what is the approximate circumference for the flower bed?
75.34
Step-by-step explanation:
1.To find the circumference, you have to multiply the diameter times pi (3.14).
2.The radius (12) is half of the diameter
3. The diameter (12x2) is 24.
4. 24x3.14 is 75.36
So, the approx. circumference is 75.36.
Answer:
Step-by-step explanation:
Answer:75ft
(10 − 6)3 ∙ 4(2) + (10 + 2)2, (8 − 6)5 ∙ 2(-4) + (6 − 8)0,
(5-2)-5 x 3(2) + (5+2)0
Answer:
120, -80, -90
Step-by-step explanation:
Use order of operations to solve each:
(10 − 6)3 ∙ 4(2) + (10 + 2)2
(4)3 x 4(2) + (12)2
12 x 8 + 24
96 + 24 = 120
(8 − 6)5 ∙ 2(-4) + (6 − 8)0
(2)5 x (-8) + (-2)0
10 x (-8) + 0 = -80
(5-2)-5 x 3(2) + (5+2)0
(3)-5 x 6 + (7)0
-15 x 6 + 0 = -90
I need help on this question
Answer:
im sorry but google?
Step-by-step explanation:
i guess
Answer:
4.5 pi
Step-by-step explanation:
First find the area of a circle with the same radius
The diameter is 6 so the radius is 1/2 d = 1/2(6) =3
A = pi r^2
A = pi (3)^2
A = 9 pi
This is a semi circle of half a circle so the area is 1/2
A of the semicircle
9/2 pi
4.5 pi
PLS HELP question in picture
Answer:
yankee with no brim
Step-by-step explanation:
2. The length of the side of a square is
represented by the expression 2a²b. Which
term represents the area of this square?
A. 8a3b
B. 4a3b
C. 4a4b2
D. 2a6b2