Answer:
a. 26
Step-by-step explanation:
The formula for depreciation is given as
y = a(1 - r)^t
a = Initial value = $15,500
y = Current value = 1/10 of Initial value = $1,550
r = depreciation rate = 8.5% = 0.085
t = time in years = ?
Hence,
1550 = 15500(1 - 0.085)^t
1550 = 15500(0.915)^t
Divide both sides by 15500
1550/15500 =(0.915)^t
0.1 = (0.915)^t
Take the Logarithm of both sides
log 0.1 = log(0.915)^t
log 0.1 = t log (0.915)
Divide both sides by log 0.915
t = log 0.1/log 0.915
t = 25.920900964 years
Approximately Time t = 26 years
Option a is correct
In circle B with m \angle ABC= 30m∠ABC=30 and AB=14AB=14 units, find the length of arc AC. Round to the nearest hundredth.
Answer:
the answer is 130 because why not
Answer:
The answer is 7.33 m
Step-by-step explanation:
I looked it up lolUse words to write each of these decimal numbers:
(a) 200.02
(b) 0.001625
Answer:
a) two hundred and two hundredths
b) one thousand six hundred twenty five millionths
Answer:
A. two hundred and two hundredths
B. one thousand six hundred and twenty five millionths
Step-by-step explanation:
hope this helps!
Need help with school
Help ASAP, mathematics trig
Answer:
D
Step-by-step explanation:
Using the tangent ratio in the right triangle
tanθ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{7}{4}[/tex] , then
θ = [tex]tan^{-1}[/tex] ([tex]\frac{7}{4}[/tex] ) ≈ 60° ( to the nearest degree )
What is the answer if you factor 5x^2+15x-20
match each trig function to a ratio. tan(B)=
Answer:
Tan B = x/y
Step-by-step explanation:
You need to memorize the definitions of all the trig functions and then these types of problems become easy! OK?
Tan = opposite side/adjacent side
Tan B = x/y
Will get brainliest!!!!!!!
Answer:
the answer is 32
Step-by-step explanation:
just because it is
Please help me with this homework
Answer:
I believe it's false
Step-by-step explanation:
In a function, the x's can not be the same
Help asap please!! This is due like today
Answer:
1.8
2.12
3. 30
Step-by-step explanation:
the answer is base to what I learned so if im wrong please correct me..
‼️‼️‼️18 POINTS‼️‼️‼️please help w/ math word problem, YOU MUST ANSWER THE QUESTION WITH THE CORRECT ASNWER TO GET POINTS. also will vote brianest.
Answer:
Quarter pounder has -580 calories and the Whooper has
1589 calories
Step-by-step explanation:
Let x represent quarter pounders and y represent the Whoppers.
2 QP and 3 Whoppers provide 3607 calories and one of each provide 1009. so let set up the system
[tex]2x + 3y = 3607[/tex]
[tex]x + y = 1009[/tex]
Apply subsitution method
[tex]y = 1009 - x[/tex]
[tex]2x + 3(1009 - x) = 3607[/tex]
[tex]2x + 3027 - 3x = 3607[/tex]
[tex] - x + 3027 = 3607[/tex]
[tex] - x = 580[/tex]
[tex]x = - 580[/tex]
Plug the system back into one of the equations and we get
[tex]y = 1589[/tex]
Choose the expression which is equivalent to the expression below. 3(12 + x) A. 36 + x B. 36 C.39x D. 36 + 3x
Answer:
D
Step-by-step explanation:
3×12+
3×X
36+3x
Thus the answer is D
A factory manufactures bottles at a cost of C(x) = 20 + 3x dollars per bottle when x bottles are produced per day. What is the difference in the daily cost (C) of manufacturing if instead of 35 bottles, 50 bottles are produced each day?
A.
$ 2212.50
B.
$ 1912.00
C.
$ 345.00
D.
$ 45.00
solve please :) need to figure out which one is true
Answer:
Option B is true
Step-by-step explanation:
The formula for Cos is Adjacent/hypotenuse. 12 is Adjacent to angle e, and 17 is the hypotenuse.
Answer:
B: cos e = 12/17
Step-by-step explanation:
When using the SOHCAHTOA method you can see that Cos is adjacent over hypotenuse and in the triangle diagram they give you the measurements of the hypotenuse and the adjacent only, so you know that they would be using the cos equation.
Find the circumference of a circle.
Answer:
56.52
Step-by-step explanation:
1. multiply your r by 2
so 9*2= 18
2. multiply that by pi, which you substitute 3.14 in for
so 18*3.14=56.52
Radius ( r ) = 9 inches
[tex] \blue{To \: find\:-}[/tex]Circumference of the Circle ?
[tex] \blue{Solution\:-}[/tex]Circumference of the Circle = 2πr
Putting the value of r in the formula -
[tex] = 2\pi r[/tex]
[tex] = 2 \times \frac{22}{7} \times 9[/tex]
[tex] = 56.5 \: inches[/tex]
[tex] \mathsf \pink {Hence, \: the \: circumference \: of \: the \: circle \: is \: 56.5 \: in.}[/tex]
If 3x + 4 = 4 + 6x, then 5x =_____?
The temperature of an oven is rising at a constant rate. The table below shows the temperature inside the oven after various amounts of time. Complete the table to show the temperature, in degrees Fahrenheit, of the oven after 6 minutes.
Minutes Temperature (°Fahrenheit)
0 75
2 139
6
10 395
True or false? In order to find the diagonal inside a rectangular prism, you need to use the Pythagorean Theorem two different times
Answer:
The 2D Pythagorean theorem can be applied twice to calculate the longest diagonal inside a rectangular prism.
Step-by-step explanation:
(a)
Give two pairs of twin-prime numbers.
(b)
Identify the pairs of co-prime numbers.
(a) 11,15
(b) 17, 24
(c) 57,19
espero yer ajudado
sorry
help help help help help
Answer:
probably y= 1/2x + 1
Step-by-step explanation:
could also be y= 2x + 1
Help me with this please!!!!!!!
Answer:
The answer is 8.54
a sequence U1, U2,U3...... is defined by the relation Un +1 = 2Un +5. if U1 =2, find U1
Correct question:
a sequence U1, U2,U3...... is defined by the relation [tex]U_{n +1} = 2U_n +5[/tex]. if U1 =2, find U2 and U3
Answer:
U2 = 9
U3 = 23
Step-by-step explanation:
Given sequence;
[tex]U_{n +1} = 2U_n +5[/tex]
U1 = 2
U2 = ?
[tex]U_{n +1} = 2U_n +5\\\\U_2 = 2(U_1) + 5\\\\U_2 = 2(2) + 5\\\\U_2 = 4 + 5\\\\U_2 = 9[/tex]
Solving for U3;
[tex]U_3 = 2(U_2) + 5\\\\U_3 = 2(9) + 5\\\\U_3 = 18 + 5\\\\U_3 = 23[/tex]
What is the value of x in the equation -6 + x = -2
Find the exact solution to the equation. 5^(6-2x) = 25
Answer:
x = 2
Step-by-step explanation:
Note that 25 = 5² , then
[tex]5^{(6-2x)}[/tex] = 5²
Since the bases on both sides are 5 then equate the exponents
6 - 2x = 2 ( subtract 6 from both sides )
- 2x = - 4 ( divide both sides by - 2 )
x = 2
A = 10r + 2
what is the value of A if r=3?
12
15
32
105
Two similar flagpoles are on either side of a park. The taller of the two flagpoles is 40 feet tall and casts a 32 foot shadow. If the
smaller of the two flagpoles casts a 20 foot shadow, how tall is it
Answer:
28 feet tall
Step-by-step explanation:
Write an integer that is less then -3 and greater and than -5?
the answer is -4 because it is smaller than -3 and greater than -5
Answer:
-4
look into the number line and you'll know clearly.. that when you move towards left of the number line, the number decreases
HELP
Find the value of this expression
[(-4+ 3) x (4 + 2) – 5] x 3
A.-33
B.-21
C.15
D.27
E.38
Answer:
-33
Step-by-step explanation:
trust me, I did all the math in my notebook
What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation?
-2x^2+8x+73=9
Answer:(x-2)^2=36
Step-by-step explanation:
A chord consists of notes that sound good together. The C major chord starting at middle C has the following frequencies: C - 262 Hz E - 330 Hz G - 392 Hz determine the ratio of the frequency of E to C. Express the answer in a simple integer ratio. How many E waves will fit in the length of four C waves. a. 2 b. 3
Answer:
The frequency of note E is:
f(E) = 330 Hz
The frequency of note C is:
f(C) = 262 Hz
The ratio of the frequency of note E to the frequency of note C is just the quotient of these two frequencies:
r = f(E)/f(C) = 330Hz/262Hz = 330/262 = 1.26
Now, we want to find how man E waves will fit in the length of four C waves.
Note that here the word "length" is used, so we need to work with the wavelengths, not with the frequencies.
For waves, we have the relationship:
v = f*λ
where:
v = velocity (in this case, velocity of the sound = 343 m/s)
f = frequency
λ = wavelength.
So, the length of a single E wave is:
λ(E) = (343 m/s)/(330 1/s) = 1.04 m
And the length of a single C note is:
λ(C) = (343 m/s)/(262 1/s) = 1.30 m
In four C waves, the length is:
4*λ(C) = 4*1.30m = 5.2m
The number of E waves that fit in the length of four C waves is equal to the quotient between the length of four C waves and one E wave:
N = (4*λ(C))/(λ(E) ) = (5.2 m)/(1.04m) = 5.14
So we can fit 5 E waves into four C waves.
Answer:
The ratio of the frequency of E to C can be found by dividing the frequency of E by the frequency of C:
330 Hz / 262 Hz ≈ 1.26
To express the answer in a simple integer ratio, we can divide both 330 Hz and 262 Hz by their greatest common factor, which is 2:
330 Hz / 2 = 165 Hz
262 Hz / 2 = 131 Hz
So the ratio of the frequency of E to C is:
165 Hz / 131 Hz = 15/12 ≈ 1.25
This ratio is approximately equal to 5/4
Therefore, the answer is (A) 5 to 4
Find the length of the third side. If necessary, round to the nearest tenth.
20
25
Answer:
15
Step-by-step explanation:
hypotenuse (h) = 25
perpendicular (p) = 20
base (b) = ?
we know by using Pythagoras theorem we get
b = √h² - p²
= √25² - 20²
= √225
= 15
