Mr. Mitchell deposited $4000 in a bank and earned simple intrest at 7% per annum for 2 years.
(i) Calculate the amount he will recive at the end of the 2 year period.(Hint find the simple intrest first...)
Answer:
interest per annum is 280
interest for 2 year is 560
Step-by-step explanation:
money deposited in bank = 4000
1persent of 4000 = 40
7 persent of 4000 = 280
interest for 2 year is 280 x 2 = 560
Mark me as BrainestCan 17, 9, and 11 be the side lengths of a triangle?
Answer:
No it cant
Step-by-step explanation:
You have to use the Pythagoras theorem which is a^2 + b^2 = c^2. So 9^2 + 11^2= 202. Then 17 is the hypotenuse so 17^2= 289. They are not equal so they are not.
What is the total SURFACE AREA of a cylinder with a radius of 5 cm and a height of 7 cm?
Answer:
SA=376.9911184cm^2
Step-by-step explanation:
SA=2πrh+2πr^2
376.9911184cm^2=(2*π*5*7)+(2*π*5^2)
What is the value of m in the equation {m-án=16, when n = 8?
A 20
B 32
C 44
D 48
Answer:
32
Step-by-step explanation:
m-án=16, when n = 8
WILL GIVE BRAINIEST ONLY IF YOU GET IT RIGHT!!!!
Answer:
x = 15
Step-by-step explanation:
20^2 + x^2 = 25^2
400 + x^2 = 625
subtract each side 400
it results to 225
square root 225, to equals this -->
X = 15
Answer:
15
Step-by-step explanation:
If I have a right triangle ab=12 and ac=15 what is BC
Answer:
9
Step-by-step explanation:
B²=H²-P²
B²=15²-12²
B²=81
√B=9
therefore it's 9
What is the domain of the function of y=√x+8 -7
Answer:
Step-by-step explanation:
Recall that the argument of the square root function y = √x must always be 0 or greater.
If you meant y=√x+8 -7, the domain is therefore [0, infinity).
But if you meant y=√(x+8) -7, the domain is [-8, infinity).
Those parentheses are important!
Please help me! I need to get this done but don't know how!
The polynomial x³+5x²-57x-189 expresses the volume, in cubic inches, of a shipping box, and the width is (x+3) in. If the width of the box is 15 in., what are the other two dimensions?
a. height: 19 in.
depth: 5 in.
c. height: 19 in.
depth: 7 in.
b. height: 21 in.
depth: 5 in.
d. height: 21 in.
depth: 7 in.
Answer:
Step-by-step explanation:
your answer would be b
Help plz I dont get it
Complete the input-output table for the function y=3^x
X Y
-2 1/9
-1 1/3
0 1
1 3
2 9
3 a
4 b
A=?
B=?
9514 1404 393
Answer:
A = 27
B = 81
Step-by-step explanation:
Fill in the x-value and do the arithmetic.
a = 3^3 = 27
b = 3^4 = 81
Jeffrey made a scale drawing of a house and its lot. He used the scale 7 inches : 4 feet. If the actual width of the backyard is 48 feet, how wide is the yard in the drawing?
Answer:
12
Step-by-step explanation:
Jeffrey made scale drawings of the house a lot
He used a scale of 7 inches: 4 feet
The actual width of the backyard is 48
Therefore the width of the backyard in the drawing is
= 48/4
= 12
Need help with this :(
Answer:
B. m = [tex]\frac{3}{2}[/tex], y-int = 3
Step-by-step explanation:
To find the slope of the line, we need to plot two points
(2, 6) (-2, 0)
m = slope
Then use the Slope-Formula to Solve for the slope
m = [tex]\frac{y2-y1}{x2-x1}[/tex]
m = [tex]\frac{0-6}{-2-2}[/tex]
m = [tex]\frac{-6}{-4}[/tex]
m = [tex]\frac{6}{4}[/tex]
m = [tex]\frac{3}{2}[/tex]
The Slope is [tex]\frac{3}{2}[/tex]
The y-intercept is 3 because the line is going 3 units upwards on y axis!
Equation: y = 3/2x + 3
Slope: 3/2
y-intercept: 3
Answer:
m = 3/2 int- 3
Step-by-step explanation:
The line goes up 3 and goes right 2. The line crosses the y-intercept at 3.
Stacy invited six friends to her 5th birthday party. How many ways can Stacy's mom arrange the
children around the table for cupcakes and ice cream?
(Answer with no decimals)
Answer:
120 ways
Step-by-step explanation:
Here, we are looking at arranging around a table
To do this, we sit down one of the children and arrange the remaining around the one that we have sat down
In scenario like this, the number of possible arrangement ways will be;
(n-1)! ways
where n is the number of children which is 6 in this case
So the possible number of ways will be;
(6-1)! = 5! = 120 ways
6 + {1 + [−(3 + 5) − 8] + 2} + 10 pleasee!!!
[tex]6 + (1 + ( - (3 + 5) - 8) + 2 \\ 6 + (1 + 2 - 8) + 2 + 10 \\ 6 + ( - 5) + 2 + 10 \\ 6 - 5 + 2 + 10 \\ \\ = 13[/tex]
Final Answer: 13Step By Step Explanation:
Calculate: Calculate the sumCalculate: Calculate the sum or differenceRemove the parentheses: When there is a + in front of an expression in parentheses, the expression remains the sameCalculate: Calculate the sum or difference☆彡HannaSubstitute the given side lengths into the equation for the Pythagorean Theorem.
Answer:
15 is the missing side (hypotenuse)h
Step-by-step explanation:
A^2+b^2=c^2
9^2+12^2=c^2
81+144=c^2
225=c^2
15=c
Write the equations of two lines that are parallel to the line 3x+6y-5=0
Answer:
X+2Y=7 and 4X+8Y=19
Step-by-step explanation:
Step 1: Write the equations in the form y=mx+c, where m represents the gradient.
In this case, gradient is equal to -0.5
Step 2: Now fix arbitrary values on the equation, y=mx+c while maintaining the value of m as - 0.5
You can make endless equations
Marathon Digital Movies is having a sale. Customers can download 13 movies for $15.99. How much does each movie cost with the sale?
Given:
Cost of 13 movies = $15.99
To find:
Cost of each movie
Steps:
Lets assume the cost of each movie as 'x'.
So,
[tex]\frac{15.99}{13} =\frac{x}{1}[/tex]
[tex]1.23 = x[/tex]
[tex]x = $1.23[/tex]
Therefore, the cost of one movie is 1.23 dollars
HAPPY TO HELP :)
If you need more help, feel free to ask
Find the value of x.
Answer:
x=9
Step-by-step explanation:
so the angles of a triangle add up to 180 and since it shows two angles of 60 which makes 120, you have 60 more degrees which means A has to be 60 degrees. so if all of the angles are the same then the side lengths are the same so since it already shows one side =9 then x=9
Answer:
x=9
Step-by-step explanation:
missing angle + 60 + 60=180 degree (sum of interior angles of a triangle
missing angle + 120 =180
missing angle =180 -120
missing angle =60 degree
since all angles are 60 degree it is an equilateral triangle and all sides of a equailateral triangle are equal .So, x is also 9
Jacob wants to enlarge a 4 in. By 6 in. Photo so that the longer side will be 14 in. How long will the shorter side be? (MUST SHOW WORK) HINT: Refer to your notes on Scale Drawings.
Answer: 9.3 in.
Step-by-step explanation:
Jacob wants to enlarge the larger side of the photo which is the 6 in. part, to becomes 14 in.
This means that Jacob wants to increase the larger side by a scale factor of:
= Length of enlarged picture / Length of original
= 14 / 6
= 2.33
2.33 is therefore the scale factor.
The shorter side will also increase by this same scale factor:
= 4 * 2.33
= 9.3 in.
What are the values of AB and DE in parallelogram
ABCD?
AB=?
PLEASE HELP
Answer:
AB=12
ED=6
Step-by-step explanation:
AB=CD=12
BC=AD=26
ED=26-20=6
Below is a list of numbers. Use them to answer question 3.
2, 19, 31, 43, 59, 67
Question 3*
What type of numbers are shown?
A
B.
C.
composite numbers
even numbers
odd numbers
prime numbers
D.
Answer:
prime numbers
Step-by-step explanation:
not composite since,example, 2 is prime
not even since,example, 19 is odd
not odd since,example, 2 is even
Answer:
the answer is
prime numbers.
A pyramid is 24ft tall. A scall model has a height of 2 ft and is 1 foot wide at the base. Identify the scale factor that was used to create the model
Answer:
1 : 12
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
24/2 = 12
1 : 12
1. A square is lengthened by 6 units in one direction and by 5 units in the other
direction to make a rectangle, as shown in the diagram. The length of the side
of the original square is x units. What is the area of the whole new rectangle?
Answer:
a = x² + 11x + 30
Step-by-step explanation:
a = (x + 5)(x + 6)
multiply each term in the first set of parenthesis by each term in the second
a = x(x + 6) + 5(x + 6)
a = (x² + 6x) + (5x + 30)
combine like terms
a = x² + 11x + 30
Factor completely. 486 +108 x + 6 x^2=
Answer:
[tex]6(x+9)^{2}[/tex]
Step-by-step explanation:
6 x^2+108 x +486
6(x^2+18 x +81)
6(x+9)(x+9)
[tex]6(x+9)^{2}[/tex]
Answer:
[tex]6(9+x {)}^{2} [/tex]
Step-by-step explanation:
[tex]486+108x+6x ^{2} [/tex]
[tex]6 \times 81+108x+6 {x}^{2} [/tex]
[tex]6(81+18x+ {x}^{2} )[/tex]
[tex]6(9+x {)}^{2} [/tex]
Hope it is helpful...convert the decimal number 356 to a Quinary number
Answer : Yes the answer to your question is 2411.
Explanation : how I got the answer
To convert decimal number 356.625, we convert its integer and fraction part individually and then add them to get the equivalent quinary number, as below:
To convert integer 356 to quinary, follow these steps:
Divide 356 by 5 keeping notice of the quotient and the remainder. Continue dividing the quotient by 2 until you get a quotient of zero.
Then just write out the remainders in the reverse order to get the equivalent quinary number.
356 / 5 = 71 with remainder 1
71 / 5 = 14 with remainder 1
14 / 5 = 2 with remainder 4
2 / 5 = 0 with remainder 2
Here is the answer to 356 decimal to quinary number:
2411
I need help!!!! :))))
Answer:
A=50.24
Step-by-step explanation:
Your diameter is 8, which makes the radius 4.
The area of a circle is
[tex]A = \pi r^{2} \\A = \pi 4^{2}[/tex]
A=50.24
Please help fast! The table shows the results of spinning a spinner several times
Out come A B C D E
frequency 2 4 3 1 2
What is the experimental probability of spinning a c or a d?
2/5
1/48
4/5
1/3
Answer:
2/5
hope it helps
Thank you
The figure shown is composed of a right rectangular prism attached to a right triangular
prism. The surface area of the figure is 130 cm?
What is the value of n, in centimeters?
n cm
4 cm
2 cm
Use the number pad to enter your answer in the box.
5 cm
cm
5 cm
4 cm
9514 1404 393
Answer:
n cm = 3 cm
Step-by-step explanation:
The total surface area is the sum of the base areas and the lateral area. The base areas are the sum of the areas of the rectangle and triangle that define the shape of the base.
The rectangle has dimensions 5 cm by n cm. The triangle is 5-2 = 3 cm high and 4 cm at the base. Then the front face area is ...
A = lw + 1/2bh
A = (5 cm)(n cm) +1/2(4 cm)(3 cm) = (6 +5n) cm²
The lateral area is the product of the perimeter of the base and the depth of the prism.
A = Ph
A = (5 cm + n cm + 2 cm + 5 cm + 4 cm + n cm)(4 cm) = (64 +8n) cm²
The total surface area is the sum of the areas of the two bases and the lateral area:
130 cm² = 2(6 +5n) cm² +(64 +8n) cm²
130 = 76 +18n . . . . . . divide by cm², collect terms
54 = 18n . . . . . . . . . subtract 76
3 = n . . . . . . . . . . divide by 3
The value of n in centimeters is 3 cm.
write equivalent fractions for 2 3/4+1 2/3 using a common denominator.
Answer:
3 2/3 will be 3 10/15
1 4/5 will be 1 12/15
Divide 3 into 15 and get 5; 5 x 2 = 10
Divide 5 into 15 and get 3; 3 x 4 = 12
So new equivalent fractions are 3 10/15
and 1 12/15
Step-by-step explanation:
What is the range for this set of data? 7, 15, 12Mrs. Juarez graded ten English papers and recorded the scores. 92, 95, 100, 62, 88, 90, 100, 96, 89, 98 Which statements are true? Check all that apply.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the complete question in the attached file.
Arrange the value into the ascending order:
[tex]62, 88, 89, 90, 92, 95, 96, 98, 100, 100[/tex]
Calculating the Range:
[tex]= Greatest - Lowest\\\\= 100 - 62\\\\ = 38[/tex]
Outlier = This might be the value "far" from other data values= 62
The range of scores would be, sans outlier,
[tex]88, 89, 90, 92, 95, 96, 98, 100, 100[/tex]
Calculating the range without outlier [tex]= 100 - 88 = 12[/tex]
Inter Quartile Range [tex]= Q_3 - Q_1[/tex]
[tex]IQR = 98 - 89 = 11[/tex]
Calculating the IQR without outlier [tex]= 99 - 89.5 = 9.5[/tex]
Therefore,
Option a is "True".
Option b is "True".
Option c is "True".
Option d is "False".
Option e is "False".
Option f is "True".
