Answer:
a. 10%
b. 37.57
c. What the coin was worth 3 years prior to 2000
Step-by-step explanation:
a. The equation for exponential growth is v(t) = P(1+r)^t. Where v(t) is the total amount, P is the principal, r is the rate of growth, and t is time in years. For part a, you need to find r, the rate. In this situation, r is equal to .1, which is equal to 10%.
b. To find part b simply solve the equation for when t equals -3. So the equation should look like [tex]v(t)=50(1.1)^{-3}[/tex]. When this is plugged into a calculator or solved by hand the total equals $37.57.
c. In this, t equals the time in years since 2000. Since -3 is negative, this must take place 3 years before 2000. Therefore, v(-3) must represent the value of the coin in 1997.
What is the slope of the line that contains the point (3, 9) and (3, 4)?
A) 6/5
B) 6/13
C) Zero
D) Undefined
Answer:
D) Undefined slope
Step-by-step explanation:
Note that the x-coordinate (3) of both given points is 3. This means that the two points lie on a vertical line. The slope of a vertical line is undefined.
The correct answer is D) Undefined slope
Help please
I need the correct answer to this pic
I will mark you brainliest for this correct answer
Answer:
the answer is B hope this helps you out
Plzz help me! I will mark brainiest!!
Create the equation of a quadratic function with a vertex of (-3, 7) and a y-intercept of -2.
Please put the answer in the form: ax^2 + bx + c
Answer:
mhuaaa
Step-by-step explanation:
papapapapapapapapa
There are 3 feet in 1 yard. How many feet are equal to 10 yards
Answer:
30 feet
Step-by-step explanation:
There a 3 ft in a yard
If there's 10 yards
then multiply 10 x 3 to get 30 feet
I need help! ASAP!! please and thank you
Answer: The walking path around it.
Step-by-step explanation:
Remember the Pythagorean's theorem, for a triangle rectangle with catheti A and B, and with hypotenuse H, we have:
A^2 + B^2 = H^2
or
H = √(A^2 + B^2)
Here, A + B is the total distance for the path, while the hypotenuse is the distance for the bridge
Here we can see that:
A = 1170 ft
B = 520 ft
Then:
H = √( (520 ft)^2 + (1170 ft)^2) = 1280.4 ft
Now, let's compute the costs.
For the bridge, we know that each foot costs $11, then for 1280.4 ft the cost is:
Cost of the bridge = (1280.4)*$11 = $14,084.4
And for the walking path, the cost is $6 per foot, then the total cost of the path is:
Cost of the path = (520 ft + 1170 ft)*$6 = $10,140
We know that the bridge is preferred if it is within the range of $1500 for the path's cost.
This range is:
($10,140 - $1,500, $10,140 + $1,500) = ($8,640, $11,640)
Here we can see that the cost of the bridge does not belong to this range, (is higher) so the option we should recommend is the walking path around.
y = x + 2
y = 3x - 2
O A. (2, 4)
B. (4,2)
C. (0,2)
D. (0,-2)
Answer:
A
Step-by-step explanation:
Which of these strategies would eliminate a variable in
the system of equations?
8x + 8y = 2
8x + 5y = 1
Answer:x = -1 / 12
Step-by-step explanation: am i right??
8x + 8y = 2 -------(1)
8x + 5y = 1 -------(2)
subtract equation (2) from equation (1)
The 8x will be eliminated, leaving us with;
3y = 1
Divide bothside of the equation by 3
y = 1/3
substituting y = 1/3 in equation (1)
8x + 8y = 2
8x + 8(1/3) = 2
8x + 8/3 = 2
subtract 8/3 from both-side
8x + 8/3 -8/3 = 2 -8/3
8x = 2 - 8/3
8x = 6 - 8 / 3
8x = - 2/3
Divide both-side of the equation by 8
8x / 8 = -2/3 ÷ 8
x = -2/3 × 1/8
x = -1 / 12
Solve for w.
44=2w
Simplify your answer as much as possible.
Answer:
The answer is 22.
Step-by-step explanation:
dklecmmkek
Point Q is image of (-7,-6) under the translation (x,y)=(x+12,y+8)
Chloe used an inequality to model the number of minutes she has available to practice piano after school on Thursday.
The solution to her inequality is graphed below.
42 43 44 45 46 47 48 49 50 51 52
How should Chloe interpret this solution?
O She will have a minimum of 45 minutes available to practice.
O She will have a maximum of 45 minutes available to practice.
O She will have fewer than 45 minutes available to practice.
O She will have more than 45 minutes available to practice.
Answer:
b
Step-by-step explanation:
edge 2020-2021
(xoxo proud of you <3)
can I please get help?!
Answer:
The answer is d.
Step-by-step explanation:
x is "a number." When a variable and a number are next to each other, they are being multiplied. So it's 7 times a number. Then you take the product of that and add 2.
So, d is the correct answer. :D
Please help me as soon as possible
Answer:
you will time 2 by 2 then 4 by 4 you get 4 and 16 the multipl
those So you get 64 inches is your anser
Lisa is planning for a party. She receives quotes from two party planners. Choice A quotes $18 per guest, plus $100 for renting the party hall. Choice B quotes $15 per guest, plus $160 for renting the party hall. Which inequality represents the number of guests Lisa can invite, if choice A were to cost less than choice B?
Answer:
x<20
Step-by-step explanation:
Building linear functions for each situation, the inequality is:
[tex]18x + 100 < 15x + 160[/tex]
------------------
Choice A:
$18 per guest.$100 for renting.Thus, the cost of inviting x guests is given by:
[tex]C_a(x) = 18x + 100[/tex]
Choice B:
$15 per guest.$160 for renting.Thus, the cost of inviting x guests is given by:
[tex]C_b(x) = 15x + 160[/tex]
A cost less than B, thus, the inequality is:
[tex]C_a(x) < C_b(x)[/tex]
[tex]18x + 100 < 15x + 160[/tex]
A similar problem is given at https://brainly.com/question/13270950
Lisa is 4 years older than Thomas. Carla is twice as old as Lisa. The sum
of their ages is 56. How old is Lisa?
Answer:
Lisa is 24.
Step-by-step explanation:
56/2=28
28-4-thomas=24-lisa \
Carla is 28, Thomas is 20, and Lisa is 24. Hope this helps! :)
Jan is 10 years younger than Michael. Jan is 65. How old is Michael?
HELP ME NOW!!
Answer:
75
Step-by-step explanation:
65 + 10 = 75
find the length of the missing side
Answer:
x = 11.1
Its a right angle triangle with the values of its adjacent and hypotenuse given so cos is used.
Simplify the expression.
-2.4f + 0.3f-16 - 3
-2.4f + 0.3f-16 -3=
Answer:
-2.1f-18
Step-by-step explanation:
-2.4f+0.3f=-2.1f.
-16-3=-19
I need help!
How do you know if an equation is exponential growth or exponential decay or not an exponential equation? For example, what is y=2(0.5)^-the exponent is x
Answer:
If a is positive and b is greater than 1 , then it is exponential growth. If a is positive and b is less than 1 but greater than 0 , then it is exponential decay
Step-by-step explanation:
small baby answer
Which function rule for points would create the translation shown above?
(x, y) + (x+4, y+3)
(x, y) + (x-4, y-3)
(x, y) + (x+10, y+7)
(x, y) + (x-10, y-7)
Answer:
Option A
Step-by-step explanation:
Coordinates of the given points A and A',
A → (-6, -2)
A' → (-2, 1)
Rule for the translation of point A to A',
A(-6, -2) → A'(-6+h, -2+k)
Since, coordinates of A' are (-2, 1)
Therefore, -6 + h = -2
h = 6 - 2 = 4
And (-2 + k) = 1
k = 3
Therefore, rule for the translation will be,
(x, y) → (x + 4, y + 3)
Option A will be the answer.
P varies inversely with x. If P = 7 when x = 8, find the value of P when x = 7. A. 0.125 B. 1 C. 7 D. 8
Step-by-step explanation:
P = 8
Step-by-step explanation:
Given that P varies inversely with x then the equation relating them is
P = \frac{k}{x} ← k is the constant of variation
To find k use the condition P = 7 when x = 8 , then
7 = \frac{k}{8} ( multiply both sides by 8 )
56 = k
P = \frac{56}{x} ← equation of variation
When x = 7 , then
P = \frac{56}{7} = 8
The sum of two numbers is 48.if the smaller number is subtracted from the larger the difference is 12 find the number
Answer:
18
Step-by-step explanation:
30 + 18 = 48
30 - 18 = 12
Both true, so our solution is correct.
The value of the larger number is 30 and the value of the smaller number is 18.
What is a number system?A numeral system is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set in a consistent manner using digits or other symbols. In different numeral systems, the same sequence of symbols can represent different numbers.
Given that the sum of two numbers is 48. if the smaller number is subtracted from the larger the difference is 12. The two numbers will be calculated as,
x + y = 48
x - y = 12
________
2x = 60
x = 30
y = 30 - 12
y = 18
Therefore, the value of the larger number is 30 and the value of the smaller number is 18.
To know more about the number system follow
https://brainly.com/question/22038564
#SPJ2
Bill's favorite breakfast cereal is available in four different sizes. Which is the best buy?
15-ounce box for $4,20
B 10-ounce box for $3.10
© 22-ounce box for $5.72
18-ounce box for $4.50
Answer:
The best deal is the 18 ounce box
Answer:
the 18 ounce box is cheapest per ounce
Step-by-step explanation:
1. .28per ounce
2. .31per ounce
3. . 26per ounce
4. .25per ounce
1
Solve for x ( and V)
2
Show Your Work
14
48
X
Use pythagoras theorem
x² = 48² + 14²
x² = 2500
x = √2500
x = 50
Fill in each box with a ratio (aka fraction) that represents the Sin, Cos, or Tan for the angle
specified. (Hint: Soh Cah Toa) Next to each fraction, write it simplified in decimal form.
Please help I need to pass my class
Answer:
Step-by-step explanation:
sin(D) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{7}{14}[/tex]
= [tex]\frac{1}{2}[/tex]
= 0.5
cos(D) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{12.124}{14}[/tex]
= 0.866
tanD = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{7}{12.124}[/tex]
= 0.577
Since, sinE = cosD
Therefore, sinE = 0.866
Since, cosE = sinD
Therefore, cosE = 0.5
Since, tanE = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{12.124}{7}[/tex]
= 1.732
Which graphs best describes the function y = 4x
Answer:
J
Step-by-step explanation:
check by multiplying each x value by 4
Answer:
D (J)
Step-by-step explanation:
y=4x is basically multiplying the x value by 4; 10*4 is 40, 20*4 is 80, and so on.
PLEASE HELP YA GIRL OUT ILL GIVE U BRAINLIST
Answer:
12.75feet (12¾)
Step-by-step explanation:
7t+1+5t+8=162feet
12t+9=162feet
12t=162-9
=153
t = 153÷9
=12.75feet (12¾feet)
What piece of evidence could Quinn add to best strengthen her argument?
Answer: A.
Step-by-step explanation: Its seems the only one on topic
Identify the 31st term of an arithmetic sequence where a1 = 26 and a22 = −226.
−334
−274
−284
−346
Answer:
a31 = -334
Step-by-step explanation:
Given:
a1 = 26
a22 = -226
Find:
a31
Computation:
a22 = a + 21d
-226 = 26 + 21d
d = -12
a31 = a + 30d
a31 = 26 + 30(-12)
a31 = 26 - 360
a31 = -334
a1 = 26 and a22 = −226.
Answer:
A) −334
A Triangle Has A Base of X 1/2m and a height of X 3/4m. If the area of the triangle is 16m^2, what are the bade and height of the triangle
Answer:
B
Step-by-step explanation:
I need help thank you
Answer:
Select All
Step-by-step explanation:
they all are correct