Answer:
7400.04
Step-by-step explanation:
Well, if one month is 616.67, then one year is just 12 months. Multiply 6l6.67 by 12, and the answer is 7400.04
X-4/x-3 is less than 2x-1/2
Answer:
yes
Step-by-step explanation:
yes
An angle that is one half its arc is a/n
angle.
Select one:
O a. exterior
O b. interior
O c. inscribed
O d. central
Select the algebraic expression for the word expression.
24 less than h
24 - h
24 - h
h - 24
h - 24
24 ÷ h
24 ÷ h
h
Step-by-step explanation:
The Answer Is 24 - h
As, 24 Is Less Than "h"
Ana has won a lottery. She was offered two options to receive the award: She can either take it in five installments of $60,000 annually, starting from now; or she can take a lump-sum of $255,000 now. Assuming (a) interest at an annual rate of 5% compounded annually, or (b) interest at an annual rate of 6% compounded continuously, which option should she choose under the consideration of cash value only?
A) If the interest is at the annual rate of 5%, compounded annually, then the present value of the five installments is $______. B) If the interest is at the annual rate of 6%, compounded continuously, then the present value of the five installments is $______.
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
She can either take it in five installments of $60,000 annually, starting from now; or she can take a lump-sum of $255,000 now.
First, we determine the value of the 5 installments using a 5% annual compounded rate.
We calculate the future value, and then the present value:
FV= {A*[(1+i)^n-1]}/i
A= annual payments
FV= {60,000*[(1.05^5) - 1]} / 0.05
FV= $331.537.88
PV= FV/(1+i)^n
PV= $259,768.60
At an annual rate of 5% compounded annually, she should choose the five installments instead of the $255,000.
Now, if the annual rate is 6% continuously compounded.
First, we need to calculate the effective interest rate:
r= e^i - 1
r= effective inerest rate
r= e^0.06 - 1
r= 0.0618
FV= {60,000*[(1.0618^5) - 1]} / 0.0618
FV= 339,443.23
PV= 339,443.23/1.0618^5
PV= $251,509.01
At an annual rate of 6% compounded continuously, she should choose the $255,000.
I need help with this
look at picture
Complementary angles
Answer:
77
Step-by-step explanation:
48 + (x-35) = 90
x-35 = 90-48
x-35 = 42
x = 42+35
x = 77
sum of two numbers is 35 and the difference is 15
Answer
IM not too sure
Step-by-step explanation:
Not too sure sorry kid
Answer:
25 and 10 are the numbers
Step-by-step explanation:
11 + 5 + 52 x 12 – 10 =
(11 + 5) + 52 x (12 - 10) =
Find the measure of each missing angle.
9514 1404 393
Answer:
35°145°55°125°55°Step-by-step explanation:
The right triangles are similar, so angle 1 is congruent to the given angle, and angles 3 and 5 are complements of that.
Angles 2 and 4 are the supplements of angles 1 and 5, respectively.
∠1 = 35°
∠2 = 180° -35° = 145°
∠3 = ∠5 = 90° -35° = 55°
∠4 = 180° -55° = 125°
6(x - 1) = 6x - 1
what’s the answer ^^
Answer:
this is an identity which is true for all x values
Step-by-step explanation:
Perform the indicated multiplication. We get:
6x - 1 = 6x -1
and see that this is an identity which is true for all x values.
WILL GIVE BRAINLIEST GIVE CORRECT ANSWER
Answer:
everything u chose is right
Step-by-step explanation:
50 = 20 + 4h
-20. -20
30/4= 4h/4
7.5 = h
So 50 = 20 + 4(7.5)
50 = 30 + 20
50 = 50
The Fabric storage box below is shaped like a rectangular prism how much fabric is needed to cover the exterior of the box
Answer:
2952 square centimeters are needed to cover the exterior of the box.
Step-by-step explanation:
We need to cover five external faces of the box. The surface area formula ([tex]A_{s}[/tex]), measured in square centimeters, is derived from surface area formula for parallelpiped:
[tex]A_{s} = w\cdot l + 2\cdot w\cdot h + 2\cdot l \cdot h[/tex] (1)
Where:
[tex]w[/tex] - Width, measured in centimeters.
[tex]l[/tex] - Length, measured in centimeters.
[tex]h[/tex] - Height, measured in centimeters.
If we know that [tex]w = 36\,cm[/tex], [tex]l = 23\,cm[/tex] and [tex]h = 18\,cm[/tex], then the outer surface area of the storage is:
[tex]A_{s} = (36\,cm)\cdot (23\,cm)+2\cdot (36\,cm)\cdot (18\,cm)+2\cdot (23\,cm)\cdot (18\,cm)[/tex]
[tex]A_{s} = 2952\,cm^{2}[/tex]
2952 square centimeters are needed to cover the exterior of the box.
I need 2 more!! So can you help
Answer:
✔️2a + 6 + 7a
✔️2a + 7a + 6
✔️9a + 6
Step-by-step explanation:
Given:
2(a + 3) + 7a
Required:
3 equations equivalent to the given expression
Solution:
2(a + 3) + 7a = 2a + 6 + 7a = 2a + 7a + 6
= 9a + 6
From the above, we can pick 3 expressions that are equivalent to 2(a + 3) + 7a. They are:
✔️2a + 6 + 7a
✔️2a + 7a + 6
✔️9a + 6
What is the ratio of a:b, knowing that a-b/a+b = 3/5.
Answer:
4:1
Step-by-step explanation:
[tex]\frac{a-b}{a+b}[/tex] = [tex]\frac{3}{5}[/tex]
4-1 = 3
4+1 = 5
can someone please help me with this math problem thank you.
MNOP is a trapezoid with bases MN and OP. If MN = 25 and OP = 23, what is the length of the midsegment of MNOP?
Answer:
24
Step-by-step explanation:
you can get the answer from the attachment
The midsegment of a trapezoid divides the trapezoid into equal parts.
The length of the midsegment of MNOP is 24
The lengths of the base are given as:
[tex]\mathbf{MN = 25}[/tex]
[tex]\mathbf{OP = 23}[/tex]
Let the midsegment be x.
So, we have:
[tex]\mathbf{x=\frac{1}{2}(MN + OP)}[/tex]
Substitute values for MN and OP
[tex]\mathbf{x=\frac{1}{2}(25 + 23)}[/tex]
[tex]\mathbf{x=\frac{1}{2}(48)}[/tex]
[tex]\mathbf{x=24}[/tex]
Hence, the midsegment of MNOP is 24
Read more about midsegments of trapezoids at:
https://brainly.com/question/7511906
Please show work so i know how you got your answer..thank you and have a nice day<3
Answer:
V=whl=2·2.5·4=20
Step-by-step explanation:
Answer:
2880 feet³
Step-by-step explanation:
since the question is asking for cubic feet we know we're finding volume.
v=l·w·b
v=4·24·30
=2880
What is the probability of spinning a number greater than 5 on a spinner numbered 1-8 and tossing a tail on a coin
Answer:
3/16
Step-by-step explanation:
P(6,7,8 and 'T') = 3/8 x 1/2 = 3/16
Answer:
12/64
Step-by-step explanation:
We have numbers 1-8 = /8
We have the numbers 6, 7, 8 on the spinner = 3/8
We have the event it doesn't get over 8 too = 8/8-3/8 = 5/8
To use if the question has two events for spinner.
We toss a coin = H or T = 1/2
We convert a 3/8 and 1/2 to same HCF = 4/8 = ( 2x 4 = 8)
3/8 x 4/8 = 12/64
A submarine was situated 832 feet below sea level. If it descends 289 feet, what is its new position?
It's new position is 1121 feet below sea level.
(In this problem u are descending into a negative value so it made sense for me to add for some reason).
Hope this helps and have a good day.
Also, as proof I included my calculator showing the logic behind it. Sorry for bad Camera quality.
-R3TR0 Z3R0
2. ABCD is a square and P, Q are the midpoints of BC, CD respectively. If AP = a and AQ = b, find in terms of a and b, the directed line segments (i) AB, (ii) AD, (iii) BD and (iv) AC.
Answer:
The answer is below.
Step-by-step explanation:
A square is a quadrilateral (has four sides and four angles) in which all the sides are equal. Also all the angle of a square are equal and measure 90°. The diagonals of a square are equal.
In square ABCD:
AB = BC = CD = AC
Given that P, Q are the midpoints of BC, CD respectively. If AP = a and AQ = b.
a) In triangle ABP:
BC = AB (all sides of a triangle are equal)
BP = 1/2 (BC) = 1/2(AB) = 0.5AB
Using Pythagoras theorem:
AB² + BP² = AP²
substituting:
AB² + (0.5AB)² = a²
AB² + 0.25AB² = a²
1.25AB² = a²
AB² = a² / 1.25
AB² = 0.8a²
AB = √(0.8a²)
AB = a√0.8
b) In triangle ADQ:
AD = CD (all sides of a triangle are equal)
DQ = 1/2 (CD) = 1/2(AD) = 0.5AD
Using Pythagoras theorem:
AD² + DQ² = AQ²
substituting:
AD² + (0.5AD)² = b²
AD² + 0.25AD² = b²
1.25AD² = b²
AD² = b² / 1.25
AD² = 0.8b²
AD = √(0.8b²)
AD = b√0.8
c) In triangle ABD, Using Pythagoras theorem:
AB² + AD² = BD²
Substituting:
0.8a² + 0.8b² = BD²
But AB = AD (all sides of a triangle are equal). Hence AB = AD = 0.8a² = 0.8b²
BD = √(0.8a² + 0.8b²)
BD = √(1.6a²) 0.8a² = 0.8b²
BD = a√1.6
D) AC = AD (diagonal are equal)
AC = √(0.8a² + 0.8b²)
AC = √(1.6b²) 0.8a² = 0.8b²
AC = b√1.6
Which of the following is an example of an irrational number? Question 5 options: A) 3∕4 B) C) D) 74∕99
Answer:
happy to help, but c and d are not included in your question
What is the difference between 100 and 33?
Answer:
67
Step-by-step explanation:
100 - 33 = 67
The difference between 100 and 33 is 67.
The answer is 67 if you go to your calculator app and do 67+33 it equals 100
the EXACT value of 2÷(0.01)2 is
The EXACT value of 2÷(0.01)2 is 100.
The question asks that we divide 2 by (0.01)2. Division is a basic mathematical operation. The expression in the question can be rewritten as [tex]\frac{2}{(0.01)2}[/tex].
The first step to take in order to determine the answer is to simplify the denominator. Bracket means to multiply. So, 0.01 would be multiplied by 2. 0.01 x 2 = 0.02. Now that the denominator has been simplified, divide the numerator by the denominator.
2 / 0.02 = 100
A similar question was answered here: https://brainly.com/question/22357901
The EXACT value of 2÷(0.01)2 is 100.
The question asks that we divide 2 by (0.01)2.
Division is a basic mathematical operation.
The expression in the question can be rewritten as : 2/ (0.01)2
now, we get,
The first step to take in order to determine the answer is to simplify the denominator.
Bracket means to multiply.
So, 0.01 would be multiplied by 2.
i.e. 0.01 x 2 = 0.02.
Now that the denominator has been simplified, divide the numerator by the denominator.
we get,
2 / 0.02 = 100
Learn more about the Division here:
brainly.com/question/22357901
#SPJ6
) A cyclist travels a distance of 90 miles in 5 hours. What was her average speed? 2) How far along a motorway would you travel if you drove at 70 mph for 4 hours? 3) I drive to Bude in Cornwall from Sheffield in about 6 hours. The distance from Sheffield to Bude is 315 miles. What is my average speed? 4) The distance from Leeds to London is 210 miles. The train travels at an average speed of 90 mph. If I catch the 9.30 am train in London, at what time should I expect to arrive in Leeds? 5) How long will an athlete take to run 2000 m at an average speed of 4 metres per second? 6) The distance between Sheffield and Land’s End is 420 miles. a) What is the average speed of a journey from Sheffield to Land’s End that takes 8 hours 45 minutes? b) If Sam covered the distance at an average speed of 63 mph, how long would it take him?
helppp!! For the given solid figure, find the value of the variable.
9514 1404 393
Answer:
10 cm
Step-by-step explanation:
The diameter of the cylinder is 6 cm, so the length designated 'c' is the hypotenuse of a right triangle with legs 6 cm and 8 cm.
The Pythagorean theorem tells you the hypotenuse is ...
c^2 = (6 cm)^2 + (8 cm)^2 = 100 cm^2
c = √(100 cm^2) = 10 cm
The value of c is 10 cm.
_____
You may recognize these numbers as double those of a 3-4-5 right triangle.
Please help I need this answer!
Answer: 16
Step-by-step explanation: Good luck! :D
Answer:
It’s 16
Good luck
I honestly lost most of my brain cells Bc of quarantine so I’m glad I figured this out
HELP ASAP PLEASE! GIVING AWAY 30 POINTS AND BRAINLIEST!
Answer:
DB!
Step-by-step explanation:
Question a: 3+3+2+2 = 10 dinners
Question b: 15-30 and 30-45, because most people choose that range.
Hope I helped!
Answer:
a) 10 b) 2-3 dollars
Step-by-step explanation:
a) 3+3+2+2
b) (2+2+3+3)/2 equal 2.5 mean, range between them is 2 to 3
Jonas is buying fencing to surround his garden. If his garden has a perimeter of 36 feet, and fencing costs
$10.00 a yard, how much money will he need for the fencing?
Answer:
Step-by-step explanation:
$120
Draw the proble. give me steps. Please
Answer:
I cant draw 4 u sry
Answer:
A. c = 3.5h + 15
Step-by-step explanation:
I can't exactly draw the problem BUT I can still help.
C represents the cost altogether but we do not know how much the total cost would be.
So we're paying $15 as a fee, no more from that.
Next, there's another fee that costs $3.50 per hour but since we wouldn't know how long we would use the kayak, hours would represent h.
Now, c = 3.5h + 15.
(In other words, the cost to rent a kayak would be $3.5 PLUS the additonal 15 one time cost.)
A prize was awarded to 24 women and 1010 men.
a. What fraction of the prize winners were women?
b. What fraction were men?
Answer:
[tex]W = \frac{12}{17}[/tex] -- Women
[tex]M = \frac{5}{17}[/tex] --- Men
Step-by-step explanation:
Given
[tex]Men = 10[/tex] --- not 1010
[tex]Women = 24[/tex]
Solving (a) Fraction of Women
This is calculated as:
[tex]W = \frac{Women}{Men + Women}[/tex]
Substitute values for Women and Men
[tex]W = \frac{24}{10+24}[/tex]
[tex]W = \frac{24}{34}[/tex]
Simplify fraction
[tex]W = \frac{12}{17}[/tex]
Solving (b) Fraction of Men
This is calculated as:
[tex]M = \frac{Men}{Men + Women}[/tex]
Substitute values for Women and Men
[tex]M = \frac{10}{10+24}[/tex]
[tex]M = \frac{10}{34}[/tex]
Simplify fraction
[tex]M = \frac{5}{17}[/tex]
A line passes through the point (-2, 7) and has a slope of -5.
What is the value of a if the point (a, 2) is also on the line?
a. -7
b.-1
c.1
D.7
I NEED ANSWERS SOON
Answer:
[tex]\boxed{a = 3}[/tex]
Step-by-step explanation:
[tex] (using \: the \: points : (2, \: 7) = ( x_{1}, \: y_{1}\: \: ) \\ hence : (a, \: 2) = ( x_{2}, \: y_{2}\: \: ) \\ but \: m = \frac{ y_{2} -y_{1} }{x_{2} - x_{1}} = \frac{2 - 7}{a - 2} \\ - 5 = \frac{2 - 7}{a - 2} \\ - 5(a - 2) = 2 - 7 \\ - 5a + 10 = 2 - 7 \\ - 5a = - 5 - 10 \\ - 5a = - 15 \\ a = \frac{ - 15}{ - 5} \\ \boxed{a = 3}[/tex]