Answer:
6.34 years
Step-by-step explanation:
Given data
Principal P=$5,000
Rate r= 8%
Final amount A= $8,303.00
The expression for the time will be
t= ln(A/P)/r
substitute
t= ln(8,303.00/5000)/0.08
t= ln(1.6606)/0.08
t= 0.507/0.08
t= 6.3375
Hence the time is about 6.34 years
Find the value of X.
Answer:
x = 34
Step-by-step explanation:
Angle Formed by Two Secants= 1/2(DIFFERENCE of Intercepted Arcs)
x = 1/2(100-32)
x = 1/2 (68)
x =34
Rewrite the linear function 7x−y=15 in slope-intercept form.
y=−7x−15
y=7x+15
y=−7x+15
y=7x−15
please help!!
Handy is making floor plan for a treehouse using a scale of 1 inch to 2 foot he wants to make the floor of the treehouse have a length of 8 foot how many inches should he show
Answer: [tex]4\ in.[/tex]
Step-by-step explanation:
Given
Handy uses a scale of 1 inch to 2 foot i.e. 1 inch of drawing represents 2 foot
For 8 foot length of tree house he draw x inch(say)
[tex]\therefore \ \dfrac{1\ \text{inch}}{2\ \text{foot}}=\dfrac{x}{8}\\\\\Rightarrow x=8\times \dfrac{1}{2}\\\Rightarrow x=4\ in.[/tex]
So, handy draw 4 inches.
Find the line of inclination of the line if its slope is -√3
Answer:
120° or 300°
Step-by-step explanation:
Given,
Slope (m) = -√3
Inclination (α) = ?
Now,
We know,
m = tanα
or, -√3 = tanα
or, tan(120° or 300°) = tanα
∴ α = 120° or 300°
∴ Inclination is 120° or 300°
On a number line, the distance between x and 8 is 2 units.
Which equation can be used to determine the possible values for x?
Answer:
x+2=8
x+2_2=8_2
x=6
x=2*3
x=6
Determine the surface area of the cylinder in terms of π.
602π cm2602π cm2
812π cm2812π cm2
308π cm2308π cm2
518 cm2
Pythagorean Theorem Digital Escape,I need help with the Answer Immediately!!!!!!!!
Answer:
HCFD
Step-by-step explanation:
a² + b² = c² => a² = c² - b² => a = √(c² - b²)
=> the height of the window = √[(the given length of the latter)² - (the distance from the latter to the base of the building, 3.5 meters)²]
A) √(5.5² - 3.5²) ≈ 4.24 => H
B) √(8.8² - 3.5²) ≈ 8.07 => C
C) √(9.3² - 3.5²) ≈ 8.62 => F
D) √(7.9² - 3.5²) ≈ 7.08 => D
6.
Which of the quadratic functions has the narrowest graph?
A. y = –x2
B. y = 4x2
C. [tex]y=\frac{1}{4} x^2[/tex]
D. [tex]y=\frac{1}{9} x^2[/tex]
Answer:
B. y = 4x2
Step-by-step explanation:
Answer: The quadratic function y=4x^2 has the narrowest graph.
which of the following is a non-real complex number?
Answer:
D
Step-by-step explanation:
D consists of the square root of -9/5
Which is not possible with real numbers - Only possible with complex numbers (i.e i)
Feel free to mark it as branliest :D
which statement is not guaranteed to be true
Answer:
Diagonal AC is NOT perpendicular to diagonal BD
Step-by-step explanation:
What is the value of x in the equation
-x =2 - 3x +6?
1) 8
2) 4
3) -4
4) -8
Answer:
x=4 Postive
Step-by-step explanation:
See the steps below:)
How many sides does a regular polygon have if each of its interior angles is 165 degree.
The base of a solid is the region enclosed by y = e^x, the x-axis, the y-axis, and the
line x = 8. Cross sections perpendicular to the x-axis are squares. Find the volume of
the solid.
Answer:
You can use the definite integral to find the volume of a solid with specific cross sections on an interval, provided you know a formula for the region determined by each cross section. If the cross sections generated are perpendicular to the x‐axis, then their areas will be functions of x, denoted by A(x). The volume ( V) of the solid on the interval [ a, b] is
hi! i’ll give brainliest please help
Answer:
third option mechanical weathering
Step-by-step explanation:
in mechanical weathering it breaks the rock into smaller pieces . these smaller pieces are just like the bigger rock , just smaller .
Dan has an old lawn mower! It takes him 1 hour to mow the whole lawn. How many square yards does Dan cut in one minute? Hints: There are 60 minutes in 1 hour. To find the unit rate divide the area of the lawn by the amount of time it takes Dan to mow the whole lawn.
Answer:
No solution is possible from the information given.
The area of the lawn is unknown.
Step-by-step explanation:
hey! i’ll give brainliest please help
Answer:
It would be a simple sentence, since it is a single clause by itself.
Note that this is something for the Language Arts section, please post your questions of that topic in that section, not in the Math section.
Gayle's hourly wage is $ 8.50. Gayle will be getting a 4% increase in pay at the end of the month. What will be Gayle's hourly wage after her pay increase?
Answer:
10.50
Step-by-step explanation:
Answer:
4 x 8.50
100
= 0.34
8.50 - 0.34 = 8.16
Step-by-step explanation:
a percentage is always over 100 so i 4 percent of 8.50 which gave me 0.34
Dont forget we are only focused on on the increase so we gotta subtract to make it normal from the original number which gives u 8.16...
Note dont forget it said an hour so multipy it by 1 hour since it said one hour which stills gives u the same answer
PLEASE HELP ASAP! WILL MARK BRAINLIEST
pls answer thank you
9514 1404 393
Answer:
484 cm³
Step-by-step explanation:
The formula for the volume of a pyramid is ...
V = 1/3Bh
where B is the base area and h is the height.
Here, the base is a square 11 cm on a side, so its area is ...
B = s² = (11 cm)² = 121 cm²
Then the volume of the pyramid is ...
V = 1/3(121 cm²)(12 cm) = 484 cm³
Which transformation will always map a parallelogram onto itself?
OA
a 90° rotation about its center
B.
a reflection across one of its diagonals
Ос.
a 180° rotation about its center
OD.
a reflection across a line jolning the midpoints of opposite sides
Explanation:
Draw out a rectangle and make sure it's not a square. So you could have it be longer than it is tall. Imagine rotating that rectangle 180 degrees. The before and after (preimage and image) will be identical. The same applies if we slanted the sides of this rectangle. This shows that any parallelogram has rotational symmetry.
Side note: any rectangle is a parallelogram, but not the other way around.
What is the difference between the highest percent of votes received by student in the lowest percent of votes received by a student? Round to the nearest whole number if needed.
A. 20%
B. 8%
C. 35%
D. 15%
Answer:
A) 20%
Step-by-step explanation:
The total votes are:
40 + 70 + 60 + 90 = 260
Rebecca has the highest percent of votes which is 90 votes. To find the %:
90/260 ≈ 34.62%
Amy has the lowest percent of votes which is 40 votes.
40/260 ≈ 15.38%
Finding the difference:
34.62 - 15.38
19.24
So, it's around 20%
out of 2 billion person trips, 75 percent were leisure travel. what was the number of person trips for leisure travel?
The number of personal trips for leisure travel will be equal to 1.5 billion.
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that out of 2 billion person trips, 75 per cent were leisure travel.
The number of the person trips will be calculated as,
N = ( 2 x 75 ) / 100
N = 150 / 100
N = 1.5 Billion
Therefore, the number of personal trips for leisure travel will be equal to 1.5 billion.
To know more about percentages follow
https://brainly.com/question/24304697
#SPJ2
a chord 30cm long is 20cm from the centre of a circle. Calculate the length of a chord which is 24cm from the centre. please show workings
The length of a chord which is 24cm from the Centre is: 14 cm
How to find the length of the chord?Applying the Pythagorean theorem to the two right angle triangles that will be formed gives the radius of the circle from the first condition as:
R = √[(30/2)² + 20²]
R = √(15² + 20²)
R = √625
R = 25 cm
The length L of the another chord is calculated as:
L/2 = √(R² - 24²)
L/2 = √(25² - 24²)
L/2 = √49
L/2 = 7
L = 14 cm
Read more about Length of Chord at; https://brainly.com/question/30804688
#SPJ1
please help!! I'm really stuck on this
Answer:
V = 5cm * 2 cm * 8 cm
Step-by-step explanation:
Volume is the length times the width times the height
V = l*w*h
V = 5cm * 2 cm * 8 cm
help me out please <3
Answer:
Step-by-step explanation:
67,68,69,69,69,71,71,72,73,75
median=(N+1)/2(N=no of data)
=(10+1)/2
=11/2
=5.5
(5 th +6 th) /2term
69+71/2
140/2
70
therefore median=70
What is -25 1/4 - 19.1 in decimal form? You must show the steps for converting the fraction to a decimal. then show your steps in subtracing
Answer:
-44.35
Step-by-step explanation:
1/4 = 0.25 (as 0.25 * 4 = 1)
-25 1/4 = -25.25
-25.25 - 19.1 = -44.35
The value is -44.35.
What is simplification?The process of replacing a mathematical expression with one that is equivalent, simpler, and typically shorter. Examples of simplification include simplifying algebraic expressions in computer algebra, simplifying Boolean expressions in logic optimization, and simplifying fractions by using conjunction elimination in logic inference to produce a formula that is simpler but typically not equivalent to the original.
Given [tex]-25\frac{1}{4}[/tex] - 19.1
[tex]-25\frac{1}{4}[/tex] can be written as -(25 + 1/4)
1/4 multiply and divide by 25
we get 25/100
to convert fraction into decimal make the base multiple of 10 and put decimal ahead the no. of digits
20/100 = 0.25
equation is -25.25 - 19.1 = -44.35
Hence the value is -44.35.
Learn more about simplification;
https://brainly.com/question/28996879
#SPJ2
if f(x)=3x+5 and g(x)=x^2+1, what is the value of (g o f)(x)?
Answer:
9x²+30x+26
Step-by-step explanation:
f(x) =3x+5
g(x) =x²+1
(gof)(x) = g(f(x)) = g( 3x+5) = (3x+5)² +1 = 9x²+30x+25+1 = 9x²+30x+26
Select the correct answer from each drop-down menu.
Tyler packed 8 shirts for a trip. Six of the shirts are short-sleeved.
He randomly selects a shirt from his suitcase, replaces the shirt, and then selects another.
The two times Tyler selects a shirt from the suitcase are( dependent, independent) events
The probability that he selects a short-sleeved shirt both times is (3/4, 9/14, 9/16, 15/28)
I think the first one is independent but I’m not sure on the second.
Answer:
The two times Tyler selects a shirt from the suitcase are independent events
The probability that he selects a short-sleeved shirt both times is 9/16.
Step-by-step explanation:
We know whether this event is independent or dependent if the first outcome affects the second outcome. With the information given, we know this event is independent because Tyler replaced the shirt when he chose a second time, meaning the total amount of shirts didn't change.
To find the probability, we use the multiplication rule:
[tex]\frac{6}{8}[/tex] ← the amount of short-sleeved shirts Tyler has
[tex]\frac{6}{8}[/tex] × [tex]\frac{6}{8}[/tex] = [tex]\frac{36}{64}[/tex] = [tex]\frac{9}{16}[/tex]
- 2022 Edmentum
The two times Tyler selects a shirt from the suitcase are independent events, the probability that he selects a short-sleeved shirt both times is 9/16, the correct option is C.
What is Probability?Probability is the likeliness of an event to happen, it has a range from 0 to 1.
The number of short sleeved shirts are 6
Total number of shirts is 8
The event is independent as the second event is not dependent on the first event as the shirt is being replaced by another shirt.
The probability that he picks a short sleeved shirt is (6/8)
The probability that he picks a short sleeved shirt both times is
= (6/8) *(6/8)
= (9 /16)
To know more about Probability
https://brainly.com/question/11234923
#SPJ2
Greatest common factor of 15,75
15........hope it helps
please give me answer please
Answer:
336
Step-by-step explanation: