The equation that can be used to determine the number of years it would take for the price to be $0.10 is 0.10 = 0.05(1.0205)^t.
What is the equation that models the increase?
The equation that would be used is an exponential equation. An exponential equation is used because the rate of increase is a compound growth.
Exponential equations usually have this form: FV = PV( 1 + r)^t
Where:
FV = future value PV = present value r = rate of growth t = time0.10 = 0.05(1.0205)^t.
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Which angle is vertical to ∠3?
Answer:
5
Step-by-step explanation:
*Just a highly recommended guess.*
The radius of a circle measures 5 milometers . What is the circumference of the circle? Use 3.14 for pi , and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
circumference = 31.4 milometers
Step-by-step explanation:
circumference = 5(2)(π)
circumference = 31.4 milometers
y=3x-4
y=2x+1
what would be the first step to solving system
Answer:
Step one. Equate the two right hand sides to each other.
3x - 4 = 2x + 1
Step-by-step explanation:
Well one of the things you could do is graph the two equations. The intersection point is the solution to the system. We get 5,11 as the answer. I can hear you saying that's cheating, and it likely is, but it does get the answer.
The very first step without the graph is to equate each of the right hand sides to each other. That's because the left side are both ys and they have to be equal.
3x - 4 = 2x + 1 Add 4 to both sides
3x - 4 + 4 = 2x + 1 + 4
3x = 2x + 5 Subtract 2x from both sides
3x-2x = 2x-2x + 5 Combine
x = 5
y = 3x - 4
y = 3*5 - 4
y = 15 - 4
y = 11.
Alaska's tundra is a wet marsh in the summer—it's hard to walk through and slowed them down. It took 1 week to hike the 45.5 miles over the Brooks Range. What was the average number of miles per day that they traveled?
Answer: 6.5 miles per day
Step-by-step explanation:
First and foremost, we should note that 7 days = 1 week. Therefore, from the question, we are given the information that it took took 1 week to hike the 45.5 miles over the Brooks Range.
The average number of miles per day that they traveled will then be:
= 45.5 miles / 1 week
= 45.5 miles / 7 days
= 45.5/7
= 6.5 miles per day
1 +tan30÷1-tan30=1+sin60÷1-sin30
can anyone help me in proving this?
Very quickly: since tan(30°) = 1/√3,
(1 + tan(30°)) / (1 - tan(30°)) = (1 + 1/√3) / (1 - 1/√3)
… = (√3 + 1) / (√3 - 1)
… = (√3 + 1)² / ((√3)² - 1²)
… = ((√3)² + 2√3 + 1²) / (3 - 1)
… = (3 + 2√3 + 1) / 2
… = (4 + 2√3) / 2
… = 2 + √3
On the other side, we have sin(30°) = 1/2 and sin(60°) = √3/2, so
(1 + sin(60°)) / (1 - sin(30°)) = (1 + √3/2) / (1 - 1/2)
… = (1 + √3/2) / (1/2)
… = 2 (1 + √3/2)
… = 2 + √3
and we're done, both sides are equal.
We can also prove this algebraically:
Force the denominator on the left side into a difference of squares:
(1 + tan(30°)) / (1 - tan(30°)) × (1 + tan(30°)) / (1 + tan(30°))
… = (1 + tan(30°))² / (1 - tan²(30°))
Expand the numerator:
… = (1 + 2 tan(30°) + tan²(30°)) / (1 - tan²(30°))
Recall that 1 + tan²(x) = sec²(x) :
… = (sec²(30°) + 2 tan(30°)) / (1 - tan²(30°))
Since sec(x) = 1/cos(x) and tan(x) = sin(x)/cos(x), multiply through every term by cos²(30°) :
… = (sec²(30°) + 2 tan(30°)) / (1 - tan²(30°)) × cos²(30°) / cos²(30°)
… = (1 + 2 sin(30°) cos(30°)) / (cos²(30°) - sin²(30°))
Recall that sin(2x) = 2 sin(x) cos(x) and cos(2x) = cos²(x) - sin²(x) :
… = (1 + sin(2×30°)) / cos(2×30°)
… = (1 + sin(60°)) / cos(60°)
Finally, recall that cos(90° - x) = sin(x), so cos(60°) = sin(30°) = 1/2, and we can write 1/2 = 1 - 1/2, so
… = (1 + sin(60°)) / (1 - sin(30°))
as required.
Carter has 37 coins, all nickels and dimes in his piggy bank. The value of the coins is $3.10. How
many dimes does Carter have?
If f (x) = x-5 and g(x) = 4x what is the value off [g(4)]?
Step-by-step explanation:
f[g(4)]
g(x) = 4x
g(4) = 4(4)
= 16
f(x) = x-5
f[g(4)] = f(16) = 16 - 5 = 11
So, f[g(4)] = 11
A rectangle has side measurements of 12 units and 8 units.
What is the approximate measure of a diagonal that cuts through the rectangle?
Round to the nearest tenth.
The approximate measure of a diagonal that cuts through the rectangle are 14.4.
What is a diagonal?A diagonal in geometry is a line segment that connects two vertices of a polygon or polyhedron that are not on the same edge. Informally, any sloping line is referred to as a diagonal.
Given that a rectangle has side measurements of 12 units and 8 units. The measure of the length of the diagonal will be,
d =√ ( w²+l² )
d =√ ( 8²+12² )
d =√ ( 64 + 144 )
d ≈14.4
Therefore, the approximate measure of a diagonal that cuts through the rectangle is 14.4.
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multiply on the number line 4x(-3)
Answer:
-12x
Step-by-step explanation:
4x* -3 = -3* 4 *x= -12x
Which graph shows the line of best fit?
In the opening credits of each episode of
the TV show Fawlty Towers, the sign on the
front of the hotel rearranged the letters in
the hotel's name.
a) How many arrangements are there of all
the letters in FAWLTY TOWERS?
b) How many arrangements of these letters
are possible if the A, Y, O, and E must
remain in their original order?
pls help.. only one question
Answer:
sorry in advance!
i think that it is B and E
Step-by-step explanation:
2. The mean of 5 numbers is 10. The median is 13. What might the numbers be?
Find 2 different answers.
Mean is the average.
10 x 5 = 50
All 5 numbers need to add up to 50.
Median is the middle value, so there are 2 numbers below 13 and 2 numbers above 13.
Since the middle number is 13, the other 4 numbers must add up to equal 37 (50-13 = 37)
4 +3 = 7
14+16 = 30
1 set could be 3, 4 ,13, 14, 16
A 2nd set could be:
1 +2 = 3
16 + 18 = 34
1,2,13,16,18
The line plot shows the distances, in miles, run by joggers in a park.
How many runners ran at least 3 miles?
Enter your answer in the box.
runners
help pls lol what is the range of the function
Answer:
all real number greater than or equal to -3.
the vertices of a triangle are formed by the intersections of the following three lines:
y=x
x=8
y=1/4x + 3
graph the triangle and its image after the composition
1
Over the weekend, Cedrick drove 45-miles. He used 2-gallons of gasoline. What is the unit rate for miles per gallon?
22,5
Step-by-step explanation:
45 :2 = 22,5 mark me plz thanks
I’ll give points but please help me on this and if you don’t know the answer please don’t answer the question thank you
Ava has a lawn-mowing business. She earned 72 dollars in total from mowing 9 lawns today. How much does she charge for each lawn-mowing job?
Answer:
$8
Step-by-step explanation:
You divide $72 by 9 to get the money for each lawn-mowing job.
72/9 = 8
She charges $8 for each lawn she mows.
can u PLEASE stop ignoring me i really do need help): try#7263738 of trying to get help lol
Answer:
SSS for the top one
SSS for the second one
Step-by-step explanation:
Find the number of three digit natural numbers
which are divisible by 11
Answer:
121. three digits. 121/11=11
Step-by-step explanation:
Answer:
90.
Step-by-step explanation:
1000 / 11
= 90.9.
I really need help with this one, I've been asking the same question like three or four different kinds. Can someone please help me I can't figure it out
Answer:
140
Step-by-step explanation:
The sum of one interior angle and one exterior angle is 180
180-40=140 so an interior angle of the regular polygon would be equal to 140
Omar is painting a 24-square-foot wall. The wall is divided into squares that each measure 14 square foot. How many squares is the wall divided into? Enter your answer in the box.
Complete question :
Omar is painting a 24-square-foot wall. The wall is divided into squares that each measure 1/4 square foot. How many squares is the wall divided into?
Answer:
96
Step-by-step explanation:
Given that:
Total area of wall = 24 ft²
Area of each division =. 1/4 ft²
Number of division = x
The number of divisions * area of each division = total area of wall
x * 1/4ft² = 24ft²
Divide both sides by 1/4 ft²
x = 24ft² ÷ 1/4 ft²
x = 24 * 4 /1
x = 96
Hence, wall is divided into 96 squares
The sum of the angles of any triangle is
Find all the missing angles in the triangles. Write each answer on the line
provided beside the corresponding letter.
Answer:
A: 40
B: 90
C: 53.5
D: 34
E: 90
F: 52.9
G: 90
H: 59.6
I: 119.1
J: 30.4
K: 90
L: 72
M: 107.3
N: 47.7
O: 36
P:90
Step-by-step explanation: In every triangle the angles will add up to 180. The little square means 90. You can just subtract all the number you already know in the triangle from 180 to find the one you don’t know.
The values of the angle is given along with angle name.
What is Angle Sum Property ?The sum of all angles of a triangle is equal to the angle of a straight line i.e. 180°.
If we have a triangle ABC , then
Sum of angle A , B and angle C will be 180 °.
and the value of the exterior angle is equal to the sum of two interior opposite angle
In the given figure we will apply the angle sum property and the exterior angle property to determine the values .
The values will be
A: 40
B: 90
C: 53.5
D: 34
E: 90
F: 52.9
G: 90
H: 59.6
I: 119.1
J: 30.4
K: 90
L: 72
M: 107.3
N: 47.7
O: 36
P:90 in degree
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all four angles of a given four-sided polygon are right angles one side of the polygon is a longer than another side where does the polygon is best fit in the diagram
Answer:Quadrilaterals
Step-by-step explanation:A Quadrilateral has four-sides, it is 2-dimensional (a flat shape), closed (the lines join up), and has straight sides.
plz plz help plz plz
Answer:
1
Step-by-step explanation:
when dividing numbers with exponents with the same base, subtract the exponents.
[tex]\frac{8^{7} }{8^{7} }[/tex]
7 - 7 = 0
[tex]\frac{8^{7} }{8^{7} }[/tex] = [tex]8^{0}[/tex]
anything to the power of 0 is 1
[tex]8^{0}[/tex]= 1
Answer:
1
Step-by-step explanation:
Any number divided by itself equals 1 with the exception of 0 since 0/0 is undefined.
8^7 is not equal to zero, so without doing any calculations or using any other rules, we know that
8^7/8^7 = 1
We can use the rule of exponents for dividing powers.
Rule:
[tex] \dfrac{a^m}{a^n} = a^{m - n} [/tex]
Here we have a = 8, m = 7, and n = 7.
Applying the rule, we get
[tex] \dfrac{8^7}{a^7} = 8^{7 - 7} = 8^0 [/tex]
Another rule of exponents:
[tex] a^0 = 1 [/tex]
We the zero power rule now:
[tex] 8^0 = 1 [/tex]
Therefore,
[tex] \dfrac{8^7}{a^7} = 1 [/tex]
Answer: 1
find the inverse of y=100-x^2
Answer:
The inverse is ±sqrt(100-x)
Step-by-step explanation:
To find the inverse, exchange x and y
x = 100 -y^2
Solve for y
Subtract 100 from each side
x - 100 = -y^2
Divide by -1
-x +100 = y^2
Take the square root of each side
±sqrt(100-x) = sqrt(y^2)
±sqrt(100-x) =y
The inverse is ±sqrt(100-x)
if Susan is able to read 3 pages in 5 minutes how many pages would you expect her to read in 20 minutes
Answer:
I would expect 12 pages...lol
Step-by-step explanation:
Hunter is going to invest in an account paying an interest rate of 1.7% compounded continuously. How much would Hunter need to invest, to the nearest cent, for the value of the account to reach $4,500 in 18 years?
Answer:
$3333.33 approx
Step-by-step explanation:
Given data
Rate r= 1.7%
Final Amount A=$4500
Time = 18years
Principal P= ????
The expression for the compound interest is given bellow as
A=P(1+r)^t
4500= P(1+0.017)^18
4500= P(1.017)^18
4500= P*1.35
P= 4500/1.35
P= $3333.33
Hence the principal is $3333.33 approx
Answer:3313.74
Step-by-step explanation:
Which of the following functions has a rate of change that stays the same? (1 point)
O y = x2 - 5x -14
O y = 19x - 10
O y = 5*
O y = 0.03x² + 11x + 1
this is the answer y=19x-10
