Answer:
$11343.13
Step-by-step explanation:
From the given information:
Principal = 3000
rate = 7% = 0.07
time = 19 years.
The amount of investment after 19 years for a continuous compounded interest can be estimated by using the formula:
[tex]A = Pe^{rt} \\ \\ A = 3000 \times e^{0.07 \times 19} \\ \\ \mathbf{A = \$11343.13}[/tex]
A rectangular carport has area of one 50 ft.The width of the carport is 5 feet less than twice its length. Find the length and width of the carport
Width= ? feet,
Length= ? feet
Answer:
[tex]Length = 10ft[/tex]
[tex]Width = 15ft[/tex]
Step-by-step explanation:
Given
[tex]W= Width\\ L = Length[/tex]
[tex]Area = 150[/tex]
[tex]W=2*L- 5[/tex]
Required
Determine the dimension
Area is calculated as:
[tex]Area = L * W[/tex]
So, we have:
[tex]L * W = 150[/tex]
Substitute: [tex]W=2*L- 5[/tex]
[tex]L * (2*L-5) = 150[/tex]
[tex]L * (2L-5) = 150[/tex]
Open bracket
[tex]2L^2 - 5L = 150[/tex]
Rewrite as:
[tex]2L^2 - 5L - 150=0[/tex]
Expand
[tex]2L^2 -20L + 15L - 150 = 0[/tex]
Factorize:
[tex]2L(L -10) + 15(L - 10) = 0[/tex]
[tex](2L + 15) (L - 10) = 0[/tex]
Split
[tex]2L + 15=0[/tex] or [tex]L -10 = 0[/tex]
Solve for L
[tex]2L =-15[/tex] or [tex]L = 10[/tex]
L cannot be negative
So:
[tex]L = 10[/tex]
Substitute [tex]L = 10[/tex] in [tex]W=2*L- 5[/tex]
[tex]W = 2 * 10 - 5[/tex]
[tex]W = 20 - 5[/tex]
[tex]W = 15[/tex]
Hence:
[tex]Length = 10ft[/tex]
[tex]Width = 15ft[/tex]
What is the measure of Arc BA? An explanation would be much appreciated.
Answer:
m<BA = 180degrees
Step-by-step explanation:
First you must know that measure of <BA is 180 degrees and m<CD = m<BA
Since <CD = 16z - 12, hence;
180 = 16z - 12
16z = 180++12
16z = 192
z = 192/16
z = 12
Get <BA
m<BA = 16z - 12
m<BA = 16(12) - 12
m<BA = 192 - 12
m<BA = 180degrees
Find the area of the circle. Leave your answer in terms of
4.1.
A) 4.2025
B) 8.405
C) 16.81
D) 11.2
A) 4.2025
Area= pir^2 r=d/2 4.1/2=2.05 pi(2.05)^2 final answer: 4.2pi
If x + y = 5 and x - y = 3, then x^2 - y^2 = ?
A) 9
B) 15
C) 16
D) 25
E) 34
With steps pleaseee
Answer:
B) 15
Step-by-step explanation:
Using basic logic we find that x = 4 and y = 1
4^2 = 16
1^2 = 1
16 - 1 = 15
HELP ASAP PLEASE NO LINKS
Question 1(Multiple Choice Worth 3 points)
(07.04)
The solution to 6x = 48 is x =
05
06
07
08
12 Terrel says 5x = 5x + 0. Johnny says 5x = 5x .0. Which person is correct?
A Johnny
B Terrel
C Both are correct
D Neither are correct
Answer:
c
5x=5x so when five Cross the=sign
5x-5x=0
How can I use coordinates to find distances determine perimeter and geometric shapes
Answer:
Step-by-step explanation:
sketch it out
the product of (y + 2) and (y - 2) if y=7
Ben in n years old chloe is twice as old as Ben Dan is 5 years younger than Ben
The total of bens age, chloes age, and Dan’s age is T years
Find a formula for T in terms of n
Answer:
T = 4n - 5
Step-by-step explanation:
Ben = n
Chloe = 2n
Dan = n - 5
n + 2n + (n - 5) = T years
3n + n - 5 = T years
4n - 5 = T years
I need help on this question please and thanks :)
Answer: a and b
Step-by-step explanation:
Answer:
a, b
Step-by-step explanation:
input, output = ordered pair
m = 3, y-int = 2
consists of a formula a^2+b^2=c^2 which is used to figure out the value of (mostly) the hypotenuse in a right triangle. The a and b are the 2 "non-hypotenuse" sides of the triangle (Opposite and Adjacent).
Answer:
That is the pythagorean theorem.
All of the following should be considered when designing a study except __________. A. the type of research method to use B. how to interpret collected data C. who the participants will be D. the type of measurement to use Please select the best answer from the choices provided A B C D
Answer:
b. How to interpret collected data.
Step-by-step explanation:
Answer:
All of the following should be considered when designing a study except __________.
( A.) the type of research method to use
( B.) how to interpret collected data (ANSWER)
( C.) who the participants will be
( D.) the type of measurement to use
3) The volume of a cube is 1,000 cu. in. What is the height of the cube? (Remember what is true about a cube!)
Answer:
10 inches
Step-by-step explanation:
there are 47 numbers Find the probability that i will pick the 6 winning numbers in a draw
Answer: You have six numbers on your ticket. In drawing the first number from the collection of 45, one of those six numbers must be drawn in order for you to still have a chance of winning the big prize. So following the draw, the probability is only 6/45 (or 1/9) that you’re still in the game.
You can now see that on each successive draw the probability steadily drops- to 5/44, 4/43, 3/42, 2/41, and for the last number 1/40. As other answers have stated, there are 8,145,060 possible draws of six numbers and only one makes you a winner.
If you bought ten tickets for every drawing, the odds reach a 50% chance of having won at about 520,550 drawings. Assuming two drawings per week, the chance of winning reaches 50% in about 5,200 years.
Of course, SOMEONE will win and if you don’t play, your chance of winning is zero. It’s kind of fun to occasionally buy lottery tickets just for the dream of winning but don’t spend a lot of money on them.
5.9K viewsView upvotes · Answer requested by Arthur C. Thorpe
7
Related Questions (More Answers Below)
Step-by-step explanation:
The parent function f(x) = log3x has been transformed by reflecting it over the x-axis, stretching it vertically by a factor of two and shifting it down three units. which function is representative of this transformation?
g(x) = log3(-2x) - 3
g(x) = -2log3(x) - 3
g(x) = 2log3(x) + 3
g(x) = log3(2x) + 3
Answer:
f(x) = -2 log3x - 3.
Step-by-step explanation:
f(x) = log3x
Reflecting over x axis makes it f(x) = f(x) = -log3x
Vertical stretch gives -2 log3x
Finally moving the graph down 3 units gives -2 log3x - 3.
calcular el número de lados de aquel poligono cuyo número de diagonales.
Find the area (in square feet) of a trapezoid
Answer:
Solution Given :
apothegm [a]=9in
perimeter [p]=13.1×5=65.5in
given
A=1/2 aP=1/2×9×65.5=294.75in²
In triangle NOP p equals 600 inches angle P equals 96° and angle N equals 64° what is the area of triangle NOP to the nearest 10th of a square inch?
9514 1404 393
Answer:
55,637.8 square inches
Step-by-step explanation:
We can find side n using the Law of Sines:
n/sin(N) = p/sin(P)
n = p(sin(N)/sin(P)) = 600·sin(64°)/sin(96°)
n ≈ 542.246913 . . . . inches
The angle O is ...
O = 180° -N -P = 180° -64° -96° = 20°
Then the area is ...
A = 1/2·np·sin(O)
A = (1/2)(542.246913 in)(600 in)·sin(20°) ≈ 55,637.81008 in²
The area of ∆NOP is about 55,637.8 in².
Answer:Area
≈
55637.81
≈
55637.8
Area≈55637.81≈55637.8
Step-by-step explanation:
What is the area of the kite? 10 yd 4 yd 6 yd 4 yd
A computer and printer cost $1128. The cost of the computer is three times the cost of the printer. Find the cost of each item. (Also have a great day :D)
Answer:
Computer 752
Printer 376
Step-by-step explanation:
1128./3=376
1128.-376=752
There were twelve times more children than adults at the matinee performance of the school play. There were 455 people at the play. How many adults and children were there?
Answer:
35 adults, 420 children
Step-by-step explanation:
1. Set up variables
Let's say children is c and adults is a.
2. Create the equations
c = 12a AND c + a = 455
3. Plug in the variables
Let's take c = 12a and substitute it in for c in the equation "c + a = 455." That would be...
12a + a = 455
13a = 455
a = 35
3. Plug in more variables
Now we have our answer for a, so let's plug it into the other equation. That would be...
c + a = 455
c + 35 = 455
c = 420
Can somebody help me?
Answer:I cannot see photo
18,250 new species are discovered each year on plane earth. how many are found each day? ( giving brainliest )
Answer:
50 species every day
Step-by-step explanation:
Help me plssss NO LINKS PLSSSSSSS
Answer:
perimeter- 36 in.
area- 77 [tex]in^2[/tex]
Step-by-step explanation:
to find the perimeter you add all of the sides, so
7 + 7 + 11 + 11 = 36
*** the opposite side of the 7 is also 7, same with the 11 :)
to find the area for a rectangle, you use the formula A=b*h
so, the base(b)=7 and the height(h)= 11
therefore, 7 * 11 = 77
I hope this helps!! :) if it does, brainliest?? :)
state three different between the fundamantal and derived quantities
Step-by-step explanation:
Derived=Depends on other quantities, obtained from product or division of fundamental quantities, exist a large number of derives units in the metric system
Fundamental=Independent, can't be expressed in terms of derived units, only seven fundamental units exist in the n metric system.
An arm wrestler is the champion for a period of 75 hours. (Here, by an hour, we mean a period starting from an exact hour, such as 1 P.M., until the next hour.) The arm wrestler had at least one match an hour, but no more than 125 total matches. Show that there is a period of consecutive hours during which the arm wrestler had exactly 24 matches.
Answer:
The answer is "In the i-th to J-th hour, the Wrestler played only 24 match-ups".
Step-by-step explanation:
Let [tex]x_i[/tex] label the number of teams played by the wrestler for [tex]1 \leq i \leq 75[/tex], after i-th hour, where [tex]1 \leq x_i \leq 125[/tex]. This also means [tex]25 \leq x_i + 24 \leq 149[/tex]. The Pigeonhole Principle means that [tex]\ni i \neq j \ni x i+ 24 = x ,j[/tex] is played exactly 24 matches between the i-th and j-th-hours end. Thus, 150 integrals [tex]x_1,x_2,......x_{75}, x_1+24,x_2+24.[/tex] In the i-th to J-th hour, the Wrestler played only 24 match-ups.
Landon has a points card for a movie theater. He receives 70 rewards points just for signing up. He earns 5.5 points for each visit to the movie theater. He needs 125 points for a free movie ticket. How many visits must Landon make to earn a free movie ticket?
Answer:
10 times
Step-by-step explanation:
125-70 bonus points =55 points left.
55 divided by 5.5 per visit = 10 times to get a free movie ticket.
To verify it is correct:
10 visits x 5.5 points each = 55 points total
55 + 70 bonus points = 125 for a free ticket.
Answer:
10
Step-by-step explanation:
Let x= number of visits
5.5x+70=
125
subtract -70 from 70 and 125
5.5x= 55
divide both sides by 5.5
x=10
:)
squares and rectangles both have four angles that measure 45° each true or false
Answer:
False
Step-by-step explanation:
They both have four angles that measure 90°.
Hope I helped.
No it isnt true. A rectangle or a square has right angles that have a degree of 90 so its actually 90 degrees.
1 hundredth+3 tenths equal what
.Answer:
The answer is .31
Step-by-step explanation:
When there is a “th” at the end of the number it signals that the number is to the right of the decimal.
Tenths are immediately to the right of the decimal, next is hundredths, then thousandths, and so on.
Write "yes" or "no" to state whether or not the given side lengths would form a right triangle.
NO LINKS PLSSS
-will mark brainliest :)
Answer:
"yes" or "no"
Step-by-step explanation: