Answer:
The submarine would be 900 below the ocean surface after 12 minutes assuming it started its descent at the surface of the ocean.
Step-by-step explanation:
The formula for distance traveled (in this case the distance a submarine descends) over a period of time is:
d
=
r
⋅
t
where
d
is the distance traveled (or descended),
r
is the rate of travel and
t
is the time.
In this problem we are told the rate,
r
is 75 feet per minute. And, we are told the time,
t
, to calculate for which is 12 minutes.
Kaya invests £4000 for 8 years
The investment gets compound interest of x% per annum
At the end of 8 years the investment is worth £6872.74
Work out the value of x
To find the interest rate on the investment for 8 years is equal to 0.7%
Given the following data:
Principal = £4000Future value = £6872.74Time = 8 years
To find the interest rate on the investment for 8 years:
Mathematically, compound interest is given by the formula:
[tex]A = P(1 + r)^{t}[/tex]
Where;
A is the future value.P is the principal or starting amount.r is annual interest rate.t is the number of years for the compound interest.Substituting the given parameters into the formula, we have;
[tex]6872.74 = 4000(1 + r)^{8}\\\\(1 + r)^{8}=\frac{6872.74}{4000} \\\\(1 + r)^{8}=1.7182\\\\1+r=\sqrt[8]{1.7182} \\\\1+r =1.07\\\\r=1.07-1\\\\r=0.7[/tex]
Interest rate, r = 0.7%
Read more: https://brainly.com/question/22339845
The graph of g(x) is a transformation of the graph of f(x)=3^x.
Enter the equation for g(x) in the box.
g(x) =
Transformation involves changing the position of a graph
The equation of g(x) is [tex]\mathbf{g(x) = 8(2)^x}[/tex]
A geometric function is represented as:
[tex]\mathbf{y =ab^x}[/tex]
The graph of g(x) passes through (-1,4) and (-2,2)
So, we have:
[tex]\mathbf{2 =ab^{-2}}[/tex]
[tex]\mathbf{4 =ab^{-1}}[/tex]
Divide both equations
[tex]\mathbf{\frac{4}{2} =\frac{ab^{-1}}{ab^{-2}}}[/tex]
Divide
[tex]\mathbf{2 =b}[/tex]
Rewrite as:
[tex]\mathbf{b =2}[/tex]
Substitute 2 for b in [tex]\mathbf{4 =ab^{-1}}[/tex]
[tex]\mathbf{4 = a2^{-1}}[/tex]
Multiply both sides by 2
[tex]\mathbf{8 = a}[/tex]
Rewrite as:
[tex]\mathbf{a = 8}[/tex]
Substitute 2 for b and 8 for a in [tex]\mathbf{y =ab^x}[/tex]
[tex]\mathbf{y = 8(2)^x}[/tex]
Express as a function
[tex]\mathbf{g(x) = 8(2)^x}[/tex]
Hence, the equation of g(x) is [tex]\mathbf{g(x) = 8(2)^x}[/tex]
Read more about function transformation at:
https://brainly.com/question/13810353
Answer:
g(x)=8(2)^x
Step-by-step explanation:
The length of a rectangular plot is 2 1/3 m. The area of the reclangle is5 1/3 m? What is the width of the plot?
Answer:
Step-by-step explanation:
Width = Area÷ length
= 5 1/3 ÷ 2 1/3
= 16/3 ÷ 7/3
[tex]= \dfrac{16}{3}*\dfrac{3}{7}\\\\\\=\dfrac{16}{7}\\\\=2\dfrac{2}{7}[/tex]
54 + 38
-
= (52 +
D + 38
-
=52+ (
+38)
= 52 +
II
Answer:
568+567899675433235+453dtu
Find the quotient.
593
÷
60
A.
10 R7
B.
9 R53
C.
9 R3
D.
9 R93
Answer:
b
Step-by-step explanation:
b
The answer is. B.) 9 R53
I used long division
Translate to an equation, then solve.
The product of 2, and a number increased by 6, is – 24.
What is the number?
Answer:
2 (n + 6) = - 24
Step-by-step explanation:
The product (the result from multiplying) of 2, and a number increased (add) by 6, is (equals) – 24.
We use "n" to represent the unknown number.
We multiply 2 by n + 6, and that equals - 24.
Answer:
The number is -15.
Step-by-step explanation:
2x+6=-24
2x=-24-6
2x=-30
x=-30/2
x=-15
2 + y + y + y + y + y + 3 ?
Answer:
5 + 5y
Step-by-step explanation:
2 + y + y + y + y + y + 3
Combine like terms
2+3 + y + y + y + y + y
5 + 5y
2n^2-6=-16
what am i supposed to be doing
Answer:
n = ±i sqrt(5)
Step-by-step explanation:
2n^2-6=-16
Add 6 to each side
2n^2-6+6=-16+6
2n^2=-10
Divide by 2
2/2n^2 = -10/2
n^2 = -5
Take the square root of each side
sqrt(n^2) = sqrt(-5)
n = sqrt(-1) sqrt(5)
n = ±i sqrt(5)
man pays $225 each month into an account to pay his bills. How much does he pay into the account in three years?
Answer:
$8100
Step-by-step explanation:
There are 36 months in 3 years.
225 x 36 = $8100
Frank has a student loan of $55,780.
This loan has a simple interest rate of
9% per year. What is the amount of
interest that Frank will be charged on
this loan at the end of one year?
Answer: $6197.77 would be the right answer
hope it helps :]
How many meals can you buy with $60 if one meal in the college cafeteria costs $6
Answer:
10
Step-by-step explanation:
60/6=10
if Angle 4 = 6x+8 and Angle 3 = 20x+16 find the measure of all Four Angles
Answer:
40 on edge
Step-by-step explanation:
2021
12) The Royals softball team played 75 games and won 55 of them. What percent of the games did they lose? (round to the nearest tenth)
Find the length of the third side. If necessary, write in simplest radical form.
Kirk is taking an exam and has 1 1/2 hours to complete the test. He has used 1/3 of his time already. How much time has Kirk used already on the test?
Answer:
30 minutes!!!!
Answer:
(1/2) half an hour.
Step-by-step explanation:
1 1/2 x 1/3 = 3/2 x 1/3 = 3/6 = 1/2
what is the value of x in the equation x-7=-4x+33
Answer:
x=8
Step-by-step explanation:
Add 7 to the right side and add 4x to the left side
5x=40
divide by 5
Answer:
x=8
source=trust me bro
Need help thank you…
Answer: 48 degrees
Step-by-step explanation: the sum of all the angles in a triangle has to be 180 degrees. 180-(62+70)=48
I need this answer.
Answer:
0.5
Step-by-step explanation:
Which fractions have a decimal equivalent that is a repeating decimals select all that apply
Answer:
19/3 = 6.33333……
9 11/16 = 9.6875
a) 0.818
b) 0.8
c) 3.4
d) 0.55555……
Step-by-step explanation:
Find the degree of this polynomial.
k^6 + 8K^5 + 8K^4 - 9k^2
Step-by-step explanation:
that is easy : 6
let's write it a bit nicer and more readable :
k⁶ + 8k⁵ + 8k⁴ - 9k²
the highest exponent is 6 for k.
and that is the degree of the polynomial.
Which graph represents the function h(x) = Ix| + 0.5?
Answer: The third option.
Step-by-step explanation:
This question requires knowledge of translation of equations. It utilizes a very simple vertical shift, which can be found via f(x) = f'(x) + a, where the graph is moved up a units. In this case, a is 0.5.
Hope it helps and let me know if you want me to elaborate.
Answer:
Third graph
Step-by-step explanation:
3rd graph is the right one. Top left corner one.
Reson:
Transformation in y coordinates is by up 0.5
Which is 3rd one
Help please me please
Answer:
5n^3
Step-by-step explanation:
For this type of problem, you can do the numbers and the variables separately and then combine them at the end.
First, lets do the variables:
n^4 has the following factors: n^1, n^2, n^3, n^4
n^3 has the following factors: n^1, n^2, n^3
The greatest common factor is n^3
Now for the numbers.
5 has the following factors: 1,5
30 has the following factors: 1,2,3,5,6,10,15,30
The greatest common factor is 5
Put it all together and the answer is 5n^3
Answer:
the greatest common factor between those is 5n^3
Step-by-step explanation:
So if you factor out 5n^3 you would have,
5n^3(n+ 6)
Solve this equation
2x-3=7
2x -3 = 7
Add 3 to both sides:
2x = 10
Divide both sides by 2:
X = 5
Answer:
x = 5
Step-by-step explanation:
2x - 3 = 7
=> 2x = 7 + 3
=> 2x = 10
=> x = 5
What is the value of n in this equation?
n - 409 = 732
Answer:
n = 1141
Step-by-step explanation:
To find the value of n you add 732 and 409 giving you 1141.
Answer:
n = 323
Step-by-step explanation:
this one should be easy for u. all u have to do is take the given number which can be either the minuend or subtrahend and subtract it from the difference. (minuend-subtrahend=difference)
Working together, Edward and Frances can wallpaper an apartment in 12 hours. It would take Frances 30 hours to do the same job by herself. How long would it take Edward to do it alone?
Answer:
Step-by-step explanation:
Givens
together: 12 hours
Frances: 30 hours
Edward: x
Formula
The formula is an odd one that shows up in physics as well.
1/Frances + 1 / Edward = 1/Together.
Solution
1/30 + 1/x = 1/12
LCD for 12 and 30
12: 2 * 2 * 3
30:3 * 2 * 5
LCD: 2*2*3*5
LCD: 60
2/60 + 1/x = 5/60 Subtract 2 / 60 from both sides
1/x = 5/60 - 2/60
1/x = 3/60 Cross Multiply
3x = 60*1 Divide by 3
3x/3 = 60/3
x = 20
So Edward (doing it alone) takes 20 hours to do the job.
Due in 30 mins!!
Thank you!
Answer:
Domain: (-∞, ∞)
Range: (0,∞)
Step-by-step explanation:
Exponential functions are curves which approach a horizontal asymptote usually at y=0 or the x-axis unless a value has been added to it. If it has, the curve shifts. This function has addition on the exponent but not to the whole function so it does not change the asymptote. Its y - values remain between 0 and ∞. This is the range, the set of y values.
However, the range of exponentials can change based on the leading coefficient. If it is negative the graph flips upside down and its range goes to -∞. This doesn't have it either.
The addition to 1 on the exponent shifts the function to the left but doesn't change the range.
In exponential functions, the x values are usually not affected and all are included in the function. Even though it shifts, the domain doesn't change either. Its domain is (-∞, ∞).
Domain: (-∞, ∞)
Range: (0,∞)
Answer:
try graphing it to see the domain and range easier (desmos or a graphing calculator is useful)
I NEED HELP ASAP!!!! PLEASE!!
Answer:
C
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
5f+2p=90
-5f -5f
[tex]\frac{2p}{2}[/tex]=[tex]\frac{-5f+90}{2}[/tex]
p=[tex]\frac{-5f+90}{2}[/tex]
A 30 ft building casts a shadow that is 75 ft. long. A nearby tree casts a shadow that is 35 ft. long. How tall is the tree?
Answer:
The tree is 14 ft. tall.
Step-by-step explanation:
Height of the building/ Height of the tree = Shadow of building/ Shadow of tree
30/x = 75/35 Cross multiply
75x = (30)(35)
75x = 1050
x = 1050/75
x = 14
a help with my mathhh i give brainliest <3
Answer: -36
Step-by-step explanation:
Answer is -36
if you don't understand why ask
Pls help i don't know Anymore
1/3
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