Answer:
A
Step-by-step explanation:
12x 5/2= 60/2= 30
3x5/2=15/2=7.5
7.5 by 30
The current population of a small town is 10,500, and its population is expected to grow at a rate of 5% per year. Which of the following functions represents the expected population of the town, where t is the number of years that have passed since the current year?
Answer:
f(x) = 10,500 x 1.05^t
2. What is the mass of an object that is 10 m above the ground and has
543 J of PE?
A rectangle is 1/2 red, 1/5 green and 1/10 blue. The rest is yellow. What ratio of the rectangle is yellow? PLEASE HELP
If given the following AP what is the common difference 10, 15, 20
Answer:
The common difference of the given AP is d=5.
Step-by-step explanation:
Given the sequence
[tex]10,\:15,\:20[/tex]
An Arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
Computing the common difference of all the adjacent terms
[tex]10,\:15,\:20[/tex]
[tex]15-10=5,\:\quad \:20-15=5[/tex]
As the difference between all the adjacent terms is the same and equal to
[tex]d=5[/tex]
Therefore, the common difference of the given AP is d=5.
12 time 10 times 10 times 10
Answer:i used a calculator 12000
Step-by-step explanation:12 × 10 × 10 × 10 = 12000
and have a nice Day :)
Answer:
12000
Step-by-step explanation:
If you multiply 12 by 10 its 120, if you add 2 more 0's to the end of the number, it will be 12000, so, basically, any time you multiply a number by 10, you add a 0 to the end of the number your multiplying 10 by, hope this helps:)
If $620 is invested at 6% per
annum, how long will it be until
it reaches $713?
Answer:
It will take 2 1/2 years
Step-by-step explanation:
Using simple interest, it is found that it will take 2.5 years for the account to reach $713.
The amount of money after t years in simple interest is modeled by:
[tex]A(t) = A(0)(1 + rt)[/tex]
In which:
A(0) is the initial amount. r is the interest rate, as a decimal.For this problem, the parameters are: [tex]A(t) = 713, A(0) = 620, r = 0.06[/tex].
Then:
[tex]A(t) = A(0)(1 + rt)[/tex]
[tex]713 = 620(1 + 0.06t)[/tex]
[tex]1 + 0.06t = \frac{713}{620}[/tex]
[tex]0.06t = 1.15 - 1[/tex]
[tex]0.06t = 0.15[/tex]
[tex]t = \frac{0.15}{0.06}[/tex]
[tex]t = 2.5[/tex]
It will take 2.5 years for the account to reach $713.
For more on simple interest, you can check https://brainly.com/question/25781328
In a five-card poker hand, what is the probability of being dealt exactly one nine and no picture cards?
Answer:
0.0907
Step-by-step explanation:
There are 12 picture cards
There are 4 9's
There are 52-12-4 = 36 cards that are not 9's and not picture cards
(5*58905)/(52C5)
$1,400 principal earning 6%, compounded semi-annually, after 10 years
Answer: $2528.56 is the answer because if you do the problem you should get something like this
A=P(1+r/n)^nt
Plug in the values:
P=1400, r=6/100=0.6,
n=2 and t=10
A=1400(1+.06/2)^2(10)
A=$2528.56
Hope it helped
Yours,
Nathaniel
Step-by-step explanation:
work out (10-3 x 2) to the power of 2
Answer:
16
Step-by-step explanation:
parentheses first: 10-6 which is 4^2 or 16.
Hope this helps :D
HELP please, see the picture below thank you.
I have a test, please
Answer:
5 - 10g + 20b
Step-by-step explanation:
(5 times 1) plus (5 times -3g) plus (5 times 4h)
5 - 10g + 20h.
This is the answer.
#teamtrees #WAP (Water And Plant)
Suppose z is a complex number (a point in the plane) with angle 30 degrees and radius 2. Suppose w is a complex number with angle 60 degrees and radius 5. If z and w are multiplied together the angle of their product is how many degrees?
Answer value
Write each number in complex polar form:
[tex]z=2e^{i\cdot30^\circ}[/tex]
[tex]w=5e^{i\cdot60^\circ}[/tex]
When you multiply two exponential expression with the same base (here, that's e), you end up adding the exponents, so that
[tex]zw=(2\cdot5)e^{i\cdot30^\circ+i\cdot60^\circ}=10e^{i\cdot90^\circ}=10i[/tex]
so the angle of the product zw is 90°.
this is factoring quadratics with a leading coefficient: 5p to the 2 power - 52p + 20
Answer:
(-5p + 2)(-p + 10)
Step-by-step explanation:
[tex]5p^{2}[/tex]-52p + 20
(-5p + 2)(-p + 10)
You can double check this by using the distributive property..
-5p * -p = -5p^2
2*-p = -2p
10*-5p = -50p
10*2 = 20
-5p^2 + -2p + -50p + 20
Now we combine like terms and simplify
-5p^2 -52p + 20
So, we are correct
PLZ PLZ PLZ HELP ME GET THIS RIGHT ILL GIVE 40 POINTS AND BRAINLY IF THERE BOTH RIGHT, I REALLY NEED HELP I SUCK AT GEOMETRY!!!
How is locating -1.5 on a number line the same as locating 1.5 on a number line How is it different?
3.
Determine the amplitude (A), period (P) and phase shift (PS) of the function
f(x) = tan (2x + 1).
A = 1, p = ,PS = (2:0)
A = 1, P = 27, PS =
o
s = (2)
A = 1, p = 5, P = (1,0).
A = 1, P = 2.PS = (6, 1)
Answer:
for f(x)=tan(2x+1)
Amplitude: None
Period: pi/2
phase Shift: -1/2(1/2 to the left)
What is the reciprocal of 8 5/6
421.2 - 305.8
Using mental math
Answer:
114.4
Step-by-step explanation:
421.2
-305.2
114.4
PLS AMSWER ASAP I WILL MARK BRAINLIEST DONT ANSWER IF YOUR NOT SURE THIS IS DUE VERY SOON
Answer: point B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Absolute value negates positive or negative values, therefore the larger number wins (e.g |6|=6, |-7|=7)
I hope this helps and good luck!
Dentro de 11 años la edad de Vicente será la mitad del cuadrado de la edad que tenía hace 13 años. ¿Qué edad tiene Vicente ahora?.
Yvette invests $300 each quarter in a fixed-interest mutual fund paying annual
interest of 7% compounded quarterly. How much will her account have in it at
the end of 11 years?
Answer:
Step-by-step explanation:
The formula for calculating the amount after t years is expressed as;
A = P(1+r/n)*nt
P is the Principal (amount invested) = $300
r is the rate = 7% = 0.07
t is the time used to save = 11 years
n is time of compounding = 1/4 (quarterly)
Substitute;
A = 300 (1+0.07/(1/4))^(1/4)(11)
A = 300(1+4(0.07))^2.75
A = 300(1+0.28)^2.75
A = 300(1.28)^2.75
A = 300(1.9716)
A = 591.49
Hence the amount that will be in her account after 11 years is $591.49
a circle has a radius o 12 inches, what is its diameter
Answer:
24
Step-by-step explanation:
Answer:
113
Step-by-step explanation:
First you need to find the radius, the key term to find the radius is diameter=2⋅radius ; therefore the radius r is 122=6 inches. To find the area of a circle, you need to use the formula A=π⋅r2 ; therefore the area A is π⋅62≈113 square inches.
Let the function f be defined by f(x) = 12 -5x
4. Is it true that f(0) = 0?
5. Explain why or why not?
ILL MARK YOU BRAINLIEST if you answer xx
Quiz 2: percent and percentage
solve: 24% of 80=
A. 19.2
B. 38.4
C. 192
D. 384
Answer:
Answer: 19.2
Step-by-step explanation:
To calculate percentage, multiply the number 80 by 0.24, and the answer is 19.2.
Place the following fractions and decimals in order from least to greatest:
12/5
3 1/3
3 1/6
3.09
Answer:
.09,1/6,1/3,2/5
Step-by-step explanation:
Answer: 12/5, 3.09, 3 and 1/6, 3 and 1/3
Step-by-step explanation: 12/5 is only equal to 2.4, so thats smallest. 3.09 is smaller compared to fractions.
tip: the bigger the bottom number on a fraction is, the smaller the number is. ex: 1/5 is actually a bigger number than 1/10
For each linear function graphed on the coordinate grid, enter the value of m and the value of b. Give your answers as fractions in simplest form. 8 6 5 183 4 3 2 1 3 -3 - 3 -10 -98 lo S 910 f(x), red line: g(x), blue line: m= h(x), green line: m = Check Answer Next Question Question 6 of 8 POWER ? XKNEWTON ! Turn it in Save & Close O E e
Answer:
f(x), Red Line: m = -½; b = 2
g(x), Blue Line: m = ⅓; b = -1
h(x), Green Line: m = 3; b = 0
Step-by-sep explanation:
✍️Note the following:
✔️The slope of a line, m, = [tex] \frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
✔️y-intercept, b, = the point on the y-axis where the line intercepts the y-axis, and where x = 0.
f(x), Red Line:
Using 2 points on the red line, (6, -1) and (8, -2)
slope (m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 -(-1)}{8 - 6} = \frac{-1}{2} [/tex]
m = -½
The red line intercepts the y-axis at y = 2, therefore:
b = 2
g(x), Blue Line:
Using 2 points on the blue line, (0, -1) and (3, 0)
slope (m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 -(-1)}{3 - 0} = \frac{1}{3} [/tex]
m = ⅓
The blue line intercepts the y-axis at y = -1, therefore:
b = -1
h(x), Green Line:
Using 2 points on the green line, (0, 0) and (1, 3)
slope (m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 0}{1 - 0} = \frac{3}{1} = 3 [/tex]
m = 3
The green line intercepts the y-axis at y = 0, therefore:
b = 0.
Which of these triangle pairs can be mapped to each other using a translation and a rotation about point A?
Answer:
D would be the actual answer.
Step-by-step explanation:
Find all angles between 0 and 2pi satisfying the condition cosx=-1/2
You can find the angles using the unit circle. You can also find the angle using algebra.
I want to show you the algebra way.
Since cos(x) = cos(2•pi - x), this leads to two equations.
The two equations are as follows:
cos (x) = -1/2...the given problem.
We also have cos (2•pi - x) = -1/2.
To isolate x for both trigonometric equations, use the inverse trig function idea.
Equation 1
arccos(cos x) = arccos (-1/2)
x = 2•pi/3
Equation 2
arccos(cos (2•pi - x)) = arccos (-1/2).
Note: 2•pi - x = 2•pi/3. We are not done with this equation. We must isolate x. In other words, like any other equation, solving for x is needed.
When we subtract 2•pi from both sides, the answer for x in the second equation is 4•pi/3.
As you know, 2•pi/3 and 4•pi/3 lie between 0 and 2•pi on the unit circle.
Answer: 2•pi/3, 4•pi/3
Using a table, show 60% of 80 60% of 80 is о
Recall that you algebraically find the intersection point of two lines by setting their equations equal to each other and solving for the x-coordinate of intersection. Then substitute to find the y-coordinate. Algebraically determine the intersection point of y = 6x-27 with y = 2x – 7.
Answer:
[tex]x = 5[/tex]; [tex]y = 3[/tex]
Step-by-step explanation:
Given
[tex]y = 6x - 27[/tex]
[tex]y = 2x - 7[/tex]
Required
Determine the point of intersection
We simply equate both equations; i.e.
[tex]y = y[/tex]
or
[tex]6x - 27 = 2x - 7[/tex]
Collect Like Terms
[tex]6x - 2x = 27 - 7[/tex]
[tex]4x = 20[/tex]
Solve for x
[tex]x = 20/4[/tex]
[tex]x = 5[/tex]
Substitute 5 for x in [tex]y = 2x - 7[/tex]
[tex]y = 2 * 5 - 7[/tex]
[tex]y = 10- 7[/tex]
[tex]y = 3[/tex]
Hence, the point of intersection is:
[tex]x = 5[/tex]; [tex]y = 3[/tex]
Find the critical value z Subscript alpha/2 that corresponds to the given confidence level. 99?% z Subscript alpha/2 = nothing?
Answer:
2.576
Step-by-step explanation:
Given :
Confidence level (α) = 99%
Z(1 - α)/2 = Z(1 - 99%)/2
Z1%/2 = Z1%/ 2
Z0.5% = Z0.005
Z(0.99 + 0.005) = Z0.995
Using the Z distribution table ; locate the z value for the proportion 0.995 ; this corresponds to approximately 2.57
Similarly, using the Invnorm calculator function :
Invnorm(0.995) gives a Zscore of :
2.576