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
Do the following lengths form a right triangle? Show your work.
12
5
13
Please answer quick
Answer:
yes
Step-by-step explanation:
side 5 and side 12 where the angle is you can form a square in the corner
find the length of side a
Answer:
A
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
yo i need help please ( if u can’t see the problem zoom in btw ) but fr i need to pass plz help
Answer:
Given no. of persons owned laptop = 76
Total of no. of students owned + Total of no. of students dont have owned laptop given = 155
No. of students dont have laptops = 155 - 76 = 79
So then the total no. of no laptops = 79 + 17 = 96(ans)
Please take your time but I really need anyone's help!!!!
Answer:
C) 5 3√2
Step-by-step explanation:
Answer:
I think a
Step-by-step explanation:
My teacher made up the name big kahuna to make it easier to mesmerize the name but I’m not sure what the identity of this Pythagorean is. It relates to trig proofs.
Answer:
The Pythagorean Theorem leads to a simple proof of the Pythagorean Identity using only the basic definitions of trig functions. The Pythagorean Theorem on a right triangle with legs a,b and hypotenuse c gives us: a2+b2=c2. Dividing through by c2 gives: (ac)2+(bc)2=1.
Answer:
Pretty sure your teacher means sin²x+cos²x=1
Step-by-step explanation:
There's the Pythagorean identity sin²x+cos²x=1 if that's what you mean
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
PLEASE HELP WILL MARK BRAINLIESTTTT
Answer:
470 [tex]cm^{3}[/tex]
Step-by-step explanation:
8x9x10 = 720
5x5x10 = 250
720-420 = 470
Write the equation in standard form for the circle with radius 4 centered at the origin
Answer:
common form to write the equation of a circle in is the center-radius form. The center-radius form is: (x−h)2+(y−k)2=r2 Here, the center point is denoted by (h,k) and r is the radius of the circle. The first example he does is: Find the center and radius of the circle given by the equation (x−2)2+(y+4)2=25.
Answer:
x² + y² = 16
Step-by-step explanation:
We need to write the standard equation of circle with , centre (0,0) and radius 4 unit . The Standard equation of the circle ⭕ is ,
=> ( x - h)² + (y -k)² = r²
=> ( x -0)² + (y-0)² = 4²
=> x² + y² = 16 .
• Hence the equation of the circle is x² + y² = 16.
Factor the expression:
12x - 60
Answer: 12(x-5)
Step-by-step explanation:
Which expression is equivalent to 2-2 x 22?
Answer:
-42
Step-by-step explanation:
Following Order of Operations, we have to multiply before subtracting, so
[tex]2-2*22[/tex]
[tex]=2-44[/tex]
[tex]=-42[/tex]
Using order of operations, we get -42.
According to the line plot, what is the total amount of time spent studying by the students who studied for an hour each?
Answer:
2.5 hours
Step-by-step explanation:
The total amount of time studying by students who spent 1/2 an hour studying is the product of the number of students who spent 1/2 an hour studying by 1/2 an hour.
Hence, counting the number of dots on the point marked 1/2 gives the count of students who spent 1/2 an hour studying and multiply this number by 1/2.
Total amount of hours spent = 1/2 * 5 = 2.5 hours
i need help with this please
Answer:
650 cm²
Step-by-step explanation:
Use the formula 2(lw+wh+lh)
Plug in the stuff: 2(5*9+9*20+5*20)=2(45+180+100)=2(325)=650 cm²
And there you go!
Please mark brainliest!
what percent does housing take up in this family budget of four
a.50%
b.18%
c.31%
d.45%
Andrew drives through 5 intersections with stoplights on his way to work. He
records that he is stopped by a red light in 2 of the 5 intersections. If he uses
this as his general probability of getting stopped at a red light on his way to or
from work, how many times can he expect to be stopped at a red light over the
next 40 times he drives through an intersection on his route?
Andrew should expect to be stopped
times.
Answer:
16 times
Step-by-step explanation:
2 out of 5 is 40%
40 x 40% = 16
Answer: 16 times
Step-by-step explanation:
How many gallons of paint is needed for a 8x9 bedroom with 8 foot ceilings?
Answer:
Wish i could help i need the answer as well
Step-by-step explanation:
Please help. I will mark brainliest if I can. ASAP I need help.
Answer:
y= -x+5
Step-by-step explanation:
you can decide whether or not to put a 1 in front of the x, but i don't think it's necessary
i hope this helps :)
Answer this question to get marked as brainliest!!!!
Answer:
1/8
Step-by-step explanation:
2^-3
1/2^3
1/8
1/8
[tex] \mathtt \green{Hope \: it \: helps \: uh }[/tex]
Guided Practice
THE ANSWER IS NOT LETTER A
Write the equation in standard form using integers.
y = 4x – 7
A.
4x – y = –7
B.
4x + y = 7
C.
4x – y = 7
Answer:
C.
4x – y = 7
Step-by-step explanation:
Write in standard form.
4
x
−
y
=
7
y
=
4
x
−
7
The standard form of a linear equation is
A
x
+
B
y
=
C
.
Rewrite the equation with the sides flipped.
4
x
−
7
=
y
Move all terms containing variables to the left side of the equation.
Tap for more steps...
4
x
−
y
−
7
=
0
Add
7
to both sides of the equation.
4
x
−
y
=
7
variable
A letter used to represent a number value in an expression or an equation.
equation
A mathematical statement that says two expressions have the same value; any number sentence with an
=
.
Would someone please help me? Ravi decides to eliminate just 100 calories per day from his diet. He knows that each pound of body fat equals 3500 calories. How long will it take for Ravi to lose 10 pounds?
Answer:
350 days
Step-by-step explanation:
If Ravi is eliminating 100 calories per day, and one pound of body fat is 3500 calories, then it will take him 35 days to lose one pound of body fat.
Multiply 35 by 10 to find how long it will take for him to lose 10 pounds:
35(10)
= 350
So, it will take him 350 days to lose 10 pounds.
Answer:
350
Step-by-step explanation:
The box plot below represents some data set. What percentage of the data values are between 20 and 55?
Step-by-step explanation:
the solution is self explanatory
will give brainliest mark plz helpp urgenttt easyy
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
- 4x + 3y = 12 ( add 4x to both sides )
3y = 4x + 12 ( divide the terms by 3 )
y = [tex]\frac{4}{3}[/tex] x + 4 ← in slope- intercept form
with slope m = [tex]\frac{4}{3}[/tex] and y- intercept c = 4
---------------------------------------------------
Given
- 5x + 3y = - 9 ( add 5x to both sides )
3y = 5x - 9 ( divide the terms by 3 )
y = [tex]\frac{5}{3}[/tex] x - 3 ← in slope- intercept form
with slope m = [tex]\frac{5}{3}[/tex] and y- intercept c = - 3
Round your answer to the nearest hundredth
Answer:
2.30
Step-by-step explanation:
sin=opposite/hypotenuse
sin50=BC/3
BC=3sin50
BC=2.298≈2.30
Find the formula for the following sequence
Geometric : a7=9 and a12=2187
Step-by-step explanation:
a geometric sequence is s sequence, where every new element is generated by multiplying the previous element by the same number.
a n = a1 × number^(n-1)
so, a12/a7 = number^5
=> 2187/9 = 243 = number^5
=>
[tex]number = \sqrt[5]{243} [/tex]
=> number = 3
so, what is a1 ?
it has to satisfy e.g. a7.
9 = a1 × 3^6
9 = 3^2
=> 3^2 = a1 × 3^6
=> 1 = a1 × 3^4
=> a1 = 1/(3^4) = 1/81
therefore, the whole formula is
a n = 1/81 × 3^(n-1 )
Express this number in scientific notation. 53.010.000
Answer:
0⋅100 :)
Step-by-step explanation:
The frequency of a radio wave varies inversely as its wavelength. If a 250-meter wave has a
frequency of 1,200 kilohertz, what is the wavelength of a wave that has a frequency of 6,000
kilohertz? Round your answer to the nearest meter
Answer:
50 m
Step-by-step explanation:
Sabrina babysits for young kids in her neighborhood. Last Friday night, she babysat one child for 2 hours and made $16. Tonight, she babysat one child for 6.5 hours and made $34. Determine and interpret the rate of change and initial value.
Ben needs to read 450 pages of his book for school. If he has five days to finish, how many pages should he read each day?
Answer: 90
Step-by-step explanation:
450/5 or 450 divided by 5
you can work this out by figuring out 45/5 which is 9
so 450/5 equals 90
he should read 90 pages per day
Answer:
90
Step-by-step explanation:
Because if you divide the pages into the 5 day it would be 90
450 divide by 5 = 90
Suppose Nicole ran 12 miles in four days. If she ran the same distance d each
day, how many miles did she run in one day?
Answer:
3 miles
Step-by-step explanation:
Since she ran 12 miles in 4 days, and all of them were equal, divide 12 by 4. Answer is 3 ^^
James has decided to start saving for a cruise over the summer. His money is
currently in the local bank, modeled by the function s(x) = 102. He is able to do work
around the neighborhood to earn extra money and that function would be a(x) = 8
+ 2), where x is measured in hours. Explain to James how he can create a function
that combines the two, and describe any simplification that can be done.
EXPLAIN IN COMPLETE SENTENCES
Answer:
f(x)=8x +118
Step-by-step explanation:
If d=the number of dogs, which variable expression represents the phrase below?
The sum of the number of the dogs and 6 cats
Answer:
6 + d =
Step-by-step explanation:
Sum means the expression is using addition
Sum of dogs and 6 cats = 6 + d