Answer:
A. Yes; measure of interior angle = 90
Step-by-step explanation:
I calculated it logically
How much would you have to deposit today to have an accumulated amount of 20,000 in 20 years if yearly interest is 4.75% compounded continuously?
Tina's user ID is a 5-digit number.
• 9 is in the ten thousands place.
• The digit in the ones place is two less than the digit in ten thousand place.
• Digit in the thousands place is one less than digit in ten thousand place.
• 4 is in the tens place.
• Digit in the hundreds place is the number of sense organs.
What is Sara’s user ID number? _____________
Answer:
98547
Step-by-step explanation:
Calculate the average rate of change in the amount of the surcharge for non-account holders between 2004 and 2008. Write the result in a sentence of interpretation. (Round your answer to two decimal places.)
Answer:
The average rate of change in the amount of the surcharge for non-account holders between 2004 and 2008 is $0.08
Step-by-step explanation:
Given
[tex]s(t) = 0.72 * 1.081^t[/tex]
[tex]3 \le t \le 13[/tex]
[tex]t \to[/tex] years since 2001
Required
Average rate of change between 2004 and 2008
In 2004,
[tex]t = 2004 - 2001[/tex]
[tex]t =3[/tex]
So:
[tex]s(t) = 0.72 * 1.081^t[/tex]
[tex]s(3) = 0.72 * 1.081^3[/tex]
[tex]s(3) = 0.9095[/tex]
In 2008,
[tex]t = 2008 - 2001[/tex]
[tex]t = 7[/tex]
So:
[tex]s(t) = 0.72 * 1.081^t[/tex]
[tex]s(7) = 0.72 * 1.081^7[/tex]
[tex]s(7) = 1.2420[/tex]
The average rate of change (m) is calculated as:
[tex]m = \frac{s(a) - s(b)}{a - b}[/tex]
In this case:
[tex](a,b) = (3,7)[/tex]
So, we have:
[tex]m = \frac{s(3) - s(7)}{3 - 7}[/tex]
[tex]m = \frac{s(3) - s(7)}{-4}[/tex]
Substitute values for s(3) and s(7)
[tex]m = \frac{0.9095 - 1.2420}{-4}[/tex]
[tex]m = \frac{-0.3325}{-4}[/tex]
[tex]m = 0.083125[/tex]
[tex]m = 0.08[/tex] --- approximated
15 men can build a wall in 20 days. How long will 25 men take to build the
same wall?
Answer:
Step-by-step explanation:
no of men no of days
15 20
25 let be x
it is in indirect proportion
15/25=x/20
do cross multiplication
25*x=20*15
25x=300
x=300/25
x=12
therefore ot will take 12 day to complete the same wall by 25 men.
Find the coordinates of the points that are 10 units away from the origin and have a y- coordinate equal to -8
Answer:
(-6, -8) and (6, -8)
Step-by-step explanation:
Think of this as a right triangle
The hypotenuse is 10
The "y" leg is |-8| = 8
x² + 8² = 10²
x² + 64 = 100
x² = 36
x = ±6
two points
(-6, -8) and (6, -8)
find the radius of a circle if the circumference is 66cm
Answer:
Approximately 10.5, or 10.5095541.
Step-by-step explanation:
To find the radius given the circumference of a circle, we first have to divide the circumference by pi, or an estimation of 3.14. This will give us the diameter.
Since we know that the radius of a circle is simply half the diameter, we divide the number we got from the problem above by 2. This will give you your answer!
Answer:
r = 10.50
Step-by-step explanation:
Circumference =
[tex]2\pi \: r[/tex]
[tex] 66 = 2\pi \: r[/tex]
[tex] \frac{66}{2\pi} = r[/tex]
r = 10.5
what does 7 x 1/3 equal to ?
PLEASE HELP ASAPPP!!
Answer:
34
Step-by-step explanation:
im pretty sure its 34.
vertical angles are basically angles from the opposite side of each other, so saying that one of the angles is 68 degrees and they're vertical angles, means that the other unknown angle is 68 degrees.
but in this case it'll be 34 since ur multiplying 2 with 34
2(34) = 68
i hope this helped
Two figures have a similarity ratio of 3 : 7. If the area of the larger figure is 294 cm2, which is the area of the smaller figure?
Answer:
The area of the smaller figure is 126 cm^2.
Step-by-step explanation:
3:7 ratio
Divide 294 by larger ratio.
294/7 = 42
Multiply 42 by the smaller ratio.
42 x 3 = 126
The table shows the number of miles driven and the number of gas used in 4 cars.Which car drives the most miles per gallon of gas
Answer:
Car C
Step-by-step explanation:
Miles per gallon = miles traveled / gallon of gas used
Miles per gallon :
Car A = 19 / 1 = 19 miles per gallon
Car B = 39 / 3 = 13 miles per gallon
Car C = 42 / 2 = 21 miles per gallon
Car D = 48 / 3 = 16 miles per gallon
Car with most miles per gallon is car C
PLEASE HELP ME ASP !!!
Answer:
x=11
Step-by-step explanation:
22*y=32
y=16/11
So,
x*16/11=16
x=11
Answer:A
Step-by-step explanation:
What is the solution to this system of equations?
3x+2y=−10
y=−x−4
Possible Answers
-2, -2 -2, 2 -18, 14 no solution
N (4,-2)
Given the point A(-2, 3) and B(4,8), determine the coordinates of point P on directed line segment AB that
partitions AB in the ratio 1/5.
the nth term of a sequence is 4n-3. finf the number in the sequence that is closest to 150
Answer:
149
Step-by-step explanation:
nth term = 4n - 3 ..............(1)
Now,
For The tern closer to 150
150 = 4n - 3
or, 153 = 4n
or, n = 38.25
Now,
Since n can not be in decimal,
Put n = 38 in (1) (Rounding off 38.25 to 38)
or, nth term = 38*4 -3
= 152 - 3 = 149
∴ The number of sequence closer to 150 is 149
Amy runs 10 miles in 85 minutes. At the same rate, how many minutes would she take to run 8 miles?
9514 1404 393
Answer:
68 minutes
Step-by-step explanation:
At the same rate, she will run 8/10 of the distance in 8/10 of the time.
(8/10)(85 minutes) = 68 minutes
It would take Amy 68 minutes to run 8 miles.
Pleaseeeee help me with this question
PLEASE HELP! 30 POINT!!!
What is the value of y when x = 3 in this equation
Y = 2x + 2
Answer:
5
7
8
12
Answer:
Step-by-step explanation:
8
The population of a certain town is known to increase at a rate proportional to the current population. If the population doubles every 15 years, and the current population is 32,000, then what will be the population in 11 years g
Answer:
The population in 11 years will be of 53,199.
Step-by-step explanation:
Equation for a population that doubles every n years.
The population of an specie, after t years, considering that is doubles after n years, is given by an equation in the following format:
[tex]P(t) = P(0)(2)^{\frac{t}{n}}[/tex]
In which P(0) is the initial population.
The population doubles every 15 years, and the current population is 32,000
This means that [tex]n = 15, P(0) = 32000[/tex]. So
[tex]P(t) = P(0)(2)^{\frac{t}{n}}[/tex]
[tex]P(t) = 32000(2)^{\frac{t}{15}}[/tex]
What will be the population in 11 years?
This is P(11). So
[tex]P(t) = 32000(2)^{\frac{t}{15}}[/tex]
[tex]P(11) = 32000(2)^{\frac{11}{15}}[/tex]
[tex]P(11) = 53199[/tex]
The population in 11 years will be of 53,199.
Lorenzo wants to know how much it will cost to rent tables and chairs for an event. He investigates renting tables and chairs and decides to use two different companies. Company A $4 per table (seats 4) and a $25 one-time delivery and pickup fee Company B $2 per chair and a $15 one-time delivery and pickup fee Each table seats 4 people, so Lorenzo needs to rent 4 chairs for every table. x = number of tables Cost to rent tables from Company A: f(x) = 4x + 25 Cost to rent chairs from Company B: g(x) = 2(4x) + 15 Which function represents the total cost for Lorenzo to rent x number of tables and the chairs he needs to go with them? 12x 12x2 + 40 12x + 40 8x + 40
Answer:
C: 12x + 40
Step-by-step explanation:
We are told that the Cost to rent tables from Company A is;
f(x) = 4x + 25
Also, we are told that the Cost to rent tables from Company B is;
g(x) = 2(4x) + 15
Thus, total cost for Lorenzo to rent x number of tables and the chairs he needs is;
Total = f(x) + g(x)
Total = 4x + 25 + 2(4x) + 15
Total = 4x + 25 + 8x + 15
Total = 12x + 40
Answer:
the answer is c
Step-by-step explanation:
Translate the following algebraic inequality into a verbal inequality.
2x +6 > 20
Need help with it I don’t know how to do it
Please help me with this question
9514 1404 393
Answer:
(x, y) = (5, 2)
Step-by-step explanation:
Given:
LP = x
MP = 2y+3
NP = y+3
KP = 3x -8
KP = MP, LP = NP
Find:
x, y
Solution:
The given relations between the segment lengths let us write two equations:
KP = MP
3x -8 = 2y +3 ⇒ 3x -2y -11 = 0 [eq1]
LP = NP
x = y +3 ⇒ x -y -3 = 0 [eq2]
__
Subtracting 3 times [eq2] from [eq1] gives ...
(3x -2y -11) -3(x -y -3) = 0
y -2 = 0 . . . . . . . . simplify
y = 2 . . . . . . . . . . add 2
Substituting this value into [eq2] gives ...
x = 2 + 3 = 5
The values of x and y are ...
x = 5, y = 2
A dozen apples costs $2.35. At this rate, how much would 5 apples cost?
Answer:
0.95 is your answer
Step-by-step explanation:
Answer:
$.98
Step-by-step explanation:
so if a dozen apples cost $2.35 that can be represented by the equation 12x=2.35
so solve that for x because that is the price of a single apple
so then if you just leave it because it is a weird decimal then x times 5(to figure out how much 5 apples cost) is
(2.35/12) * 5 = 47/48 or about $.98
so five apples cost $.98
The transformation of y=f(x) to y=f(2x) is a:
Answer:
c) vertical stretch by a factor of 2
Step-by-step explanation:
Answer:
b.
Step-by-step explanation:
Horizontal stretch by a factor of 1/2.
We can also describe this as a horizontal compression by a factor 2
It is well known that steroid usage is banned in athletes. As a result, athletes are randomly tested. The steroid test procedures are believed to be equally effective on both steroid users as well as non-steroid users. The effective rate is 98%. Assume 90% of the athletes are clean (not steroid users). Suppose an athlete is tested as a steroid user (and thus could be disqualified from the Summer Olympics games), what is the probability that the athlete is actually clean (i.e., not a steroid user)
Answer:
18% that the athlete is disqualified but is actually clean
Step-by-step explanation:
In order to find the probability of two events happening together, in this case the athlete being disqualified and being clean, we need to multiply the probabilities. So,
It is a 90% chance that the athlete is clean and a 2% chance that the test fails so multiply the two
.9 * .2 = .18
This means that it is an 18% chance that the athlete is clean but is still disqualified.
7th grade math help :)
change 1/4 to percent.
a.20%
b.25%
c.75%
d.100%
(−x+5)(x+2)=y determine the x intercept
Answer:
x-intercepts = (-5,0) & (-2,0)
Step-by-step explanation:
5 & 2 = x-intercepts but you have to put them as negative
(3)^4 times (3)^3 simplified version using exponents
Answer:
I'm pretty sure your answer is [tex]3^1^1[/tex]
Step-by-step explanation:
If 6 is added to x, the result is 17. Find the value of x.
Answer:
Step-by-step explanation:
To find x, we need to do opposite operations.
x+6=17
Subtract 6 from both sides, since subtraction is the opposite of addition, thus cancelling the 6 out.
x+6=17
-6 -6
x=11
So x is 11.
---
hope it helps
Answer:
Step-by-step explanation:
6+x=17
x=17-6
x=11