Answer:The population of a town is increasing at a rate of 6.2% per year. The city council believes they will have to add another elementary …
Step-by-step explanation:
Long until a new elementary school needed is 9.6.
How to estimate compound interest?Given:
Interest rate, r = 6.2% or 0.062
Amount, A = 100000
Principle, P = 76000
As we know,
[tex]$\Rightarrow A=P\left(1+\frac{r}{100}\right)^{n}$$[/tex]
On substituting the values, we get
[tex]$&\Rightarrow 100000=76000\left(1+\frac{6.2}{100}\right)^{n} \\[/tex]
[tex]$&\Rightarrow(1+0.062)^{n}=\frac{100}{76}[/tex]
On taking log both sides, we get
[tex]$&\Rightarrow n \log _{c}(1.062)=\log _{c}\left(\frac{100}{76}\right) \\[/tex]
[tex]$&\Rightarrow \quad n=\frac{\ln \left(\frac{100}{76}\right)}{\ln (1.062)}[/tex]
By putting the values of log, we get
[tex]$\Rightarrow \quad=4.5622$[/tex]
[tex]$\Rightarrow \quad=4.6[/tex]
Therefore, the correct answer is 4.6.
To learn more about compound interest
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(-4y^2– 3y - 10)-(-2y + 1) add or subtract the polynomials
Answer:
Simplified : -4y^(2)-y-11
Step-by-step explanation:
My bad if its wrong hope this helps tho
HELP PLEASE Rectangular prism with a length, width, and height of 1/5 cm, 4/5cm, and 3/5 cm, respectively
Answer:
Step-by-step explanation:
To find the volume of a Rectangular prism you have to do W*H*L
L=1/5
W=4/5
H=3/5
So just multiply them all and you get .0096 cm^3
ayudaaa se los agradeceria
Answer:
-2
Step-by-step explanation:
since the base are the same you add the exponent.
4x+2 + 2x-1= -3x-17
4x+2x +3x =-17-2+1
9x =-18
x=-2
What is the surface area of the pyramid? 3 6
Answer:
3 is the answer bc it make more sense
x _> 15
x < 10
find interval notation
ASAP PLEASE HELP
Answer:
x ≥ 15, interval notation x ∈ [15, +∞)x < 10, interval notation x ∈ (-∞, 10)Combined together:
x ∈ (-∞, 10) ∪ [15, +∞)So
15≤x<10
Interval notation
[15,10)Another way
(-oo,10)U[15,oo)10 is not included so open bracket
I AM BEGGING YALL, PLEASE HELP ME OUT
Answer:
(2a,2b)
(-4a,b)
Step-by-step explanation:
for the first one
the x value of coordinate L is going to be twice the value of the x coordinate of k (a)
That being said the x value of L = 2a
The y value of L is going to be half the value of the y value of coordinate A ( 4b )
4b/2=2b so the y value of coordinate L is 2b
now we put the values as an ordered pair
The answer would be (2a,2b)
75in, 60 in Pythagorean
What’s the missing leg?
Answer:
X = 45
Step-by-step explanation:
a^2 + b^2 = c^2
60^2 + a^2 = 75^2
3,600 + a^2 = 5,625
- 3,600 - 3,600
____________________
a^2= 2025
square root them
a^2 = a
2025 = 45
so x =45
I’m really struggling here :,D
Answer:
-2
Step-by-step explanation:
come here ❤️❤️❤️
quv-xypc-xhm
Answer:
oh i will what is that code of yours
Step-by-step explanation:
quv-xypc-xhm ←what is this
HALP ME PLZZ ASAP NO LINKS
Answer:
Step-by-step explanation:
*name the solid that is formed from the net
(helllpp plsss!!!)
Answer:Cube
Step-by-step explanation:
possibly a cube
Please help I’ll make you the brainiest
Answer:
m=1 or m=-3
Step-by-step explanation:
when m=1,
(1+1)sq+1=5
4+1=5
5=5
True statement
when m=-3,
(-3+1)sq+1=5
(2)sq+1=5
4+1=5
5=5
True statement
Solve V^2=25, where v is a real number.
Simplify your answer as much as possible
Answer:
V= +5 and -5
Step-by-step explanation:
just square root both sides
how to be monkey........
Answer:
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
On the coordinate line, point A from point B (4) is 3 units away from point C point -6. Question: What can be the distance between points A and C? -
pls help me
Answer:
is 3 units away from c
Step-by-step explanation:
PLEASE HELP ASAP FAST ASAP
Answer:
mike did i think im super sooooo sorry if im wrong
Step-by-step explanation:
The area in the trapezoid in square units 10 inches, 8 inches, 12 inches.
Answer: 100
Step-by-step explanation:
The formula for the area of a trapezoid is (B1+B2)/2*h
so substitute:
(8+12)/2*10
20/2*10
10*10
100
Answer:
100 sq inches
Step-by-step explanation:
Simply use the formula for finding the area:
[tex]\frac{1}{2} * (sum of parallel sides) * height\\= \frac{1}{2} * (8 + 12) * 10\\= \frac{1}{2} * 20 * 10\\= 100 sq. inches[/tex]
The range of y = - 32x ^ 2 + 90x + 3
Given:
The given function is:
[tex]y=-32x^2+90x+3[/tex]
To find:
The range of the given function.
Solution:
We have,
[tex]y=-32x^2+90x+3[/tex]
It is a quadratic function because the highest power of the variable x is 2.
Here, the leading coefficient is -32 which is negative. So, the graph of the given function is a downward parabola.
If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex], then the vertex of the quadratic function is:
[tex]Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)[/tex]
In the given function, [tex]a=-32,b=90,c=3[/tex].
[tex]\dfrac{-b}{2a}=\dfrac{-90}{2(-32)}[/tex]
[tex]\dfrac{-b}{2a}=\dfrac{-90}{-64}[/tex]
[tex]\dfrac{-b}{2a}=\dfrac{45}{32}[/tex]
The value of the given function at [tex]x=\dfrac{45}{32}[/tex] is:
[tex]y=-32(\dfrac{45}{32})^2+90(\dfrac{45}{32})+3[/tex]
[tex]y=\dfrac{2121}{32}[/tex]
The vertex of the given downward parabola is [tex]\left(\dfrac{45}{32},\dfrac{2121}{32}\right)[/tex]. It means the maximum value of the function is [tex]y=\dfrac{2121}{32}[/tex]. So,
[tex]Range=\left\{y|y\leq \dfrac{2121}{32}\right\}[/tex]
[tex]Range=\left(-\infty, \dfrac{2121}{32}\right ][/tex]
Therefore, the range of the given function is [tex]\left (-\infty, \dfrac{2121}{32}\right ][/tex].
1. 28, 48 and 72 are three
number
c) Determine H.C Fof the
three numbers by using
prime factors.
S
#he
Answer:
4.
Step-by-step explanation:
28 = 2*2*7
48 = 2*2*2*2*3
72= 2*2*2*3*3
So the HCF = 2*2 = 4.
Answer:
hcf stand's for
highest common factor
and must be prime numbers
so the answers 3
Isaiah collects bags of cans for recycling. After they picnic he collected four bags of cans. How many bags did Isaiah take to the recycling center
Answer:
[tex]x + 4[/tex]
Step-by-step explanation:
The question have missing details.
Because, the question says she collected some cans "after picnic"; This means that she has some cans "before picnic"
So, we assume that she has x bags of can before the picnic.
[tex]After\ Picnic = 4[/tex]
So, the total number of bags collected is:
[tex]Total = Before + After\ Picnic[/tex]
[tex]Total = x + 4[/tex]
If x is 5, then she took 9 bags of can to the recycling center
If x is 2, then she took 6 bags of can to the recycling center
If x is 0, then she took 4 bags of can to the recycling center
6) Your car cost $42,500 when you
purchased it in 2017. The value of the
car depreciates by 15% annually.
a) Write an exponential function to
represent this situation.
b) How much will your car be worth
in 20242 Round your answer to the
nearest dollar.
HELP ME
Answer:
Step-by-step explanation:
Using exponential function concepts, it is found that:
The model is: .
The car will be worth $13,625 in 7 years.
Linear equation in slope intercept form
Answer:
y = 2x + 24
Step-by-step explanation:
Slope-intercept form equation => y = mx + b
m = slope = change in y / change in x
b = y-intercept
✔️using two pairs of values form the table, (-6, 12) and (-5, 14):
Slope (m) = (14 - 12)/(-5 -(-6))
m = 2/1
m = 2
✔️To find b, substitute (x, y) = (-6, 12) and m = 2 into y = mx + b.
12 = 2(-6) + b
12 = -12 + b
12 + 12 = b
24 = b
b = 24
✔️To write the equation, substitute m = 2 and b = 24 into y = mx + b:
y = 2x + 24
The probability of choosing a blue marble from a bag is 5/12 and a yellow marble 1/3. What is the probability of not choosing one of these marbles?
Answer:
1/20
Step-by-step explanation:
Simple probability is found by counting all the results which fit requirements and dividing by all possible results.
To find probability of two results in a row, multiply chance of first result by chance of second result.
Since you are replacing the marble before the second draw, we don’t have to figure out the various changes in odds for the different possible first draws. It’s just that simple.
There are 5 black marbles
There are 4 red marbles
There are always 20 marbles in all
5/20*4/20=1/4*1/5=1/20
By coincidence, the same as the chance of drawing the white marble in one draw.
The ratio of cats to dogs at the Palm Valley Animal Shelter right now is 5 to 3. There are 45
dogs currently at the shelter. What is the total number of cats and dogs at the shelter right
now?
Answer:
75:45
Step-by-step explanation:
3*15=45
5*15=45
Suppose you know the perimeter of a rectangle. How can you write
an equation for the area in terms of the length of a side?
Step-by-step explanation:
L+W+L+W=26 so 2L=26–2W and you can find length from the perimeter as L=13−W
LW=42 so L=42/W is the other way to find the length, from the area. Both ways require you to know W, but if you have both pieces of information the two answers for length must be the same 42/W=13−W, and you solve this:
42=13W−W2
W2–13W+42=0
(W−6)(W−7)=0
Either W−6=0 or W−7=0
√131 is between 11 and 12? true or false
Answer:
True
Step-by-step explanation:
[tex]11^2=121\\12^2=144\\121<131<144[/tex]
Hence, [tex]\sqrt{131}[/tex] is in between 11 and 12
The perimeter of one square is given as 4x. Its perimeter is equal to the perimeter of a rectangle given as 2.5x + 3.75. Write an equation to determine the perimeter of each figure
Answer:
5
Step-by-step explanation:
it would be 5. x is 5 so if it is wrong sorry its best e a while since i done that kind of math
Divide €132 in the ratio 7:4
Answer:92.4
Step-by-step explanation:
4x+7x=132
10x=132
x=132/10
x=13.2
4x=4×13.2
=52.8
5x=7×13.2
=92.4
Can someone please help me?
Answer:
A=90
B=18
C=111
D=39
E=35
Step-by-step explanation:
If the crayon is 90 millimeters long, how
many cubic centimeters of wax is used to
make a box of 8 crayons?
Answer:
373248 cm³ of wax
Step-by-step explanation:
If the crayon is 90 millimeters long, how many cubic centimeters of wax is used to make a box of 8 crayons?
1 crayon = 90mm
8 crayons = x
Cross Multiply
x = 8 × 90mm
x = 720mm
Converting to cubic mm
= (720mm)³ = 373248000mm³
Converting to cubic centimeter
1 mm³ = 0.001 cm³
373248000 mm³ = x
Cross Multiply
373248000 × 0.001 cm³
= 373248 cm³ of wax
