Answer:
option 4) x = 14 y = 7
Step-by-step explanation:
We are given a side angle and a side length so we can use trigonometry to find the solution
To find x we can use sine because the given side length is opposite to the angle so,
sin(60) = [tex]\frac{7\sqrt{3} }{x}[/tex]
solve for x and you get 14 (make sure you check that your calculator is in degrees)
for either use Pythagorean theorem or remove sine by tangent.
You open a savings account and deposit $1,000. After 1 year of earning continuously compounded interest.
your balance is $1.018.16. After 2 years, the balance is $1.036.66. Assuming you make no deposits or
withdrawals, find the equation for the best-fitting exponential function to represent the balance of the account
after x years. How much money will be in the account after 10 years?
Answer:
Step-by-step explanation:
[tex]1036.66=1000e^{2r}\\ \\ r=(ln(1.03666))/2\\ \\ r=0.018\\ \\ b(x)=1000e^{(0.018x)}\\ \\ b(10)=1000e^{0.18}=\$ 1197.22[/tex]
The equation for the best-fitting exponential function is A = 1000 (1.01816)ˣ. And the amount of money in the account after 10 years will be $ 1197.18.
What is compound interest?Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
You open a savings account and deposit $1,000.
After 1 year of earning continuously compounded interest.
Your balance is $1.018.16. After 2 years, the balance is $1.036.66.
Assuming you make no deposits or withdrawals.
Then the equation for the best-fitting exponential function represents the balance of the account after x years will be
A = 1000(1 + r/100)ˣ
After one year, the amount will be 1018.16 dollars. Then the value of r will be
1018.16 = 1000 (1 + r/100)¹
1 + r/100 = 1.01816
r/100 = 0.01816
r = 1.816%
Then the equation will be
A = 1000 (1.01816)ˣ
Then the amount of money in the account after 10 years will be
A = 1000 (1.01816)¹⁰
A = 1000 x 1.19718
A = $ 1197.18
More about the compound interest link is given below.
https://brainly.com/question/25857212
#SPJ2
PLS HELP I WILL GIVE BRAINLIEST.
PLEASE HELP NOW!!!!!
100 grams i think? not entirely sure
Answer: 600 grams
Step-by-step explanation:
Mass does not change with gravity. Weight changes with gravity
Jack drank 1 1/3 cups of milk for breakfast, 1 5/6 cups of milk for lunch, and 1 3/4 cups for dinner. How much milk did Jack drink altogether
Answer:
4.91666666667
Step-by-step explanation:
1 1/3 + 1 5/6 + 1 3/4 = 4.91666666667
Please help me!!!! super easy!!!!
Answer:
if it's so easy, why didn't u do it?
Step-by-step explanation:
but it is a
Becky invests £5000 for 2 years in a bank account.
She gets simple interest at a rate of 3% per year.
Work out the total amount of interest Becky gets by the end of 2 years.
Answer:
£5300
Step-by-step explanation:
-first you find 3% of 5000, which is £150
-£150 only represents the intreset for one year, but becky invests for 2 years, so:
150*2= 300
-add them together:
300+5000=5300
WILL GIVE BRAINLIEST!
the following.
a number added to the product of three and the number
Translate into a variable expression. (Use x for your variable. Do not simplify.)
Answer:
x+3x=
Step-by-step explanation:
x is your number
added to 3 times that same number which again is x
equals whatever the answer is
The equation y = 2x is proportional True or False?
Answer:
False.
Step-by-step explanation:
Cause yes. im bad at explaining.
18y + 16 x = 18 Y-intercept
mhhhhhhhhhh welppp i need help
Answer:
It does not pass the vertical Line test, because the vertical line test is when you put a line through a something like this circle and if it passes throug it more the once it is not a line.
Step-by-step explanation:
Hope this help.
60 point question please answer
convert to vertex form using the points given
Answer:
dgbsbansksonfnkzkanehfb
Step-by-step explanation:
xhzbjzjajsnfjksms
Write the equation of the line in slope intercept form that passes through (0,8) and (-2,6)
Answer:
Step-by-step explanation:
The slope intercept form of a line is y=mx+b where m is the slope and b is the y intercept.
Slope or m is defined as m=(y2-y1)/(x2-x1) in this case
m=(6-8)/(-2-0)=-2/-2=1 now our line is
y=x+b, using point (0,8) solve for b
8=0+b, so b=8 and the line is
y=x+8
The point (-5, 3) is reflected across the x axis. What are the coordinates of this reflection? Group of answer choices
Answer:
( -5, -3)
Step-by-step explanation:
Dixie drinks 1/3 a cup of water in 1/6 of a minute. How many cups of water per minute does Dixie drink?
Hello, 928747! I can help.
So, we're trying to find out how many cups of water Dixie can drink per minute.
Since there are 60 seconds in a minute, we can assume that 1/6 of a minute is 10 seconds
1/6 = 10/60
So there are 60 seconds in a minute so we would multiply 1/3 by 6 to find how many cups she can drink in one minute
1/3 x 6 = 2
So, Dixie can drink 2 cups in one minute.
#LearnWithBrainly
https://brainly.com/question/21742939
What is the length of a diagonal of a rectangular picture whose sides are 12" x 17" round to the nearest 10th of an inch
please help on this i dont get it at all!
I hope this helps you out!!
We start off by drawing out the triangle on a graph! Placing points (x ,y) at
(-3, 5), (-5, -2) and (2, -2). I've included a screenshot of how the triangle should look to help you out visually!
From there, to find the area we use the equation, area = [tex]\frac{1}{2}[/tex] b • h.
To find the base, we subtract: -5 - 2 = -7, meaning that the base equals 7.
And to find the height, we subtract: 5 - (-2) = 7, also meaning that the height equals 7 as well.
Plugging those two numbers in the equation for area, we get:
area = [tex]\frac{1}{2}[/tex] 7 • 7
area = [tex]\frac{1}{2}[/tex] 49
area = 24.5 or 24 1/2, in this case your answer should be B.
Jane is making wind chimes with seashells. She needs 12 sea shells for the big one and 8 for the small one. How many wind chimes of the same number would she make form 100 sea shells.
Answer:
0.02
Step-by-step explanation:
the answer is
0.02............
i have done this before!
Select the graph that matches the inequality.
Answer:
B
Step-by-step explanation:
im pretty sure it's B because it's a negitive
can somebody please answer this
Step-by-step explanation:
Perimeter= 3x-4+3x-7+4x+2x+10
=12x-1
So option b.
a number minus 8 is at least 14
Answer:
22
Step-by-step explanation:
just add 8 to 14, then there is your number that would equal 14 if 8 was subtracted from it
Answer:
Step-by-step explanation:
[tex]n-8\ge 14\\ \\ n\ge 22[/tex]
A landscaping company is laying out a triangular flower bed. The height of the triangle is 14 ft. What lengths of the base will make the area at least 238 ft^2?
Answer:
≥ 34 feets
Step-by-step explanation:
Given that :
Height of triangle, h = 14 feets
Area of triangle is atleast 238ft²
Area of triangle formula, A :
Area = 0.5 * base * height
For an area of atleast 238ft²
238ft² = 0.5 * b * 14
238ft² = 7b
b = 238ft² / 7 ft
b = 34 ft
Hence, length of base needs to be 34 feets or higher
Francesca is growing 1/4 inch each year. How many years will it take for her to grow 3 inches?
Answer:
12 years
Step-by-step explanation:
1/4÷ 3
= 12
given that x = y - 2 / y -3 Express y in terms of x
Answer
y=3x-2/x-1
Step-by-step explanation:
what’s 1/6 out of 200?
Answer:
its 0.8
Step-by-step explanation:
Answer number 4
First correct answer gets brainliest
Answer:
less than- 1/8 and 5/16
equal to- 8/16
more than- 5/8, 9/16, and 15/16
Step-by-step explanation:
It's really easy lol
*Frank buys a new video game. The 5% sales tax is $0.75. What is the price of the game? Explain
Answer:
Step-by-step explanation:
V= video game's price
.05V= .75
Now divide;
.75÷.05= 15= V
So the videogame equals $15, and let's check to see if we have the correct answer.
15 × .05= .75
The videogame equals $15.
Evaluate: 36/x - 5 X=4
Answer:
the answer is four
Step-by-step explanation:
Because first you do 36/4 which gets you to 9 and then subtract it by 5 to get 4!
Answer:
36-5x
over x
Step-by-step explanation:
What is 1/6 of 48? I need help pls
Answer:
8Step-by-step explanation:
(1÷6)×(48)= 8
Bob and Cam are scuba diving. Bob is 15 meters below the surface of the water. Cam is 4 meters above Bob.
What is Cam's position relative to the surface of the water?
Answer: -11 meters
Step-by-step explanation:
so for the waters surface, we are going to call that 0. if bob is at 15 meters below 0, then -15+4=-11, so he would be at-11 meters in relation to the waters surface.
A tire has a diameter of 28 inches, what is 6) FIND DIAMETER
the circumference of the tire?
Answer:
Step-by-step explanation:
87.9645943005