Answer:
f(1) = 257
Step-by-step explanation:
x-variable: 1 (time is the independent variable)
y-variable: 257 (number of visitors is the dependent variable)
When the time is at 1 (1pm), there are 257 visitors
[(M^2N^2-MN)(M^2N^2+MN)]/MN
Answer:
Step-by-step explanation:
M²N² - MN = MN (MN - 1)
M²N² + MN = MN (MN + 1)
[tex]\frac{(M^{2}N^{2}-MN)(M^{2}N^{2}-MN)}{MN}= \frac{MN(MN-1) * MN(MN + 1)}{MN}\\[/tex]
= (MN - 1) * MN * (MN + 1)
= (MN - 1)(MN +1) MN {(a+ b)(a - b) = a² - b² }
= (M²N² - 1²) * MN
= (M²N² - 1)MN
please help me i will give brainliest
Answer:
i would help you bet i cant read that. Maybe put the paper in better lighting?
Tia invests $2,500 at an interest rate of 4%, compounded quarterly, and another $2,500 at an interest rate of 3.75%, compounded annually. How much are the investments worth at the end of 5 years
Answer:Use formula for intrested compunded continuously which is ...
A = Pe^(rt)
A = Total Balance you will receive
P = Principal (amount you start out with)
e = The constant e (2.71818... can be foudn on your calculator)
r = Rate (Remember to convert to decimal form out of a whole)
t = Time
Lets assemble the equation for balance after 1 year...
A = 2000e^(.06x1)
A = $2123.67
So after 1 year, your balance is $2123.67
To find balance after 2 years, just substitute (t) for 2
A = 2000e^(.06x2)
A = $2254.99
After 2 years, your balance is $2254.99
Hope this helps
EDIT for the sake of clarifying what compounding continuously means, compared to compounding annually, semi annually, quarterly, etc... etc (I will try my best)
Continuous compounding can be thought of as making the compounding period infinitesimally small; therefore achieved by taking the limit of n to infinity.
Think of it as compounding continuously is an asymptote, you can compound annually, semi annually, quarterly, monthly, daily, even per second. Going down this progressive series approaches this asymptote which increasingly gets smaller but never crosses, so we substitute it with infinity. The asymptote is what we are compounding and can be found with A = Pe^(rt)
Step-by-step explanation:
The total worth of investments are $6055.73
What is Compound Interest?Compound interest, also known as interest on principal and interest, is the practise of adding interest to the principal amount of a loan or deposit.
Given:
First, First, convert R as a percent to r as a decimal
r = R/100
r = 4/100
r = 0.04 rate per year,
Then solve the equation for A
A = P[tex](1 + r/n)^{nt[/tex]
A = 2,500.00[tex](1 + 0.04/4)^{(4)(5)[/tex]
A = 2,500.00[tex](1 + 0.01)^{(20)[/tex]
A = $3,050.48
second, First, convert R as a percent to r as a decimal
r = R/100
r = 3.75/100
r = 0.0375 rate per year,
Then solve the equation for A
A = P[tex](1 + r/n)^{nt[/tex]
A = 2,500.00[tex](1 + 0.0375/1)^{(1)(5)[/tex]
A = 2,500.00[tex](1 + 0.0375)^{(5)[/tex]
A = $3,005.25
Hence, the total worth of investments are $3,050.48 + $3,005.25 = $6055.73
Learn more about Compound Interest here:
https://brainly.com/question/14295570
#SPJ2
Which of the following expressions is
equivalent to (y + 3) - (-3y - 5)?
F 4y + 8
H-2y - 2
G 2y + 8
J 4y - 2
Answer:
Option F
Step-by-step explanation:
(y+3)-(-3y-5)
y+3+3y+5
4y+8
Point S lies between points R and T on Line segment R T. A line contains points R, S, T. The space between R and S is 2 x. The space between S and T is 3 x. If RT is 10 centimeters long, what is ST? 2 centimeters 4 centimeters 6 centimeters 8 centimeters
Answer:
6 cm
Step-by-step explanation:
Given that:
A line that contains the points R, S and T.
Distance between R and S = [tex]2x[/tex]
Distance between S and T = [tex]3x[/tex]
To find:
The distance between S and T = ?
Solution:
The given situation and dimensions can be represented in the form of a diagram as shown in the attached diagram.
As per given statement and in the diagram, we can deduce that the sum of distance between R and S, S and T is equal to distance between R and T.
i.e. RS + ST = RT
[tex]2x + 3x = 10\\\Rightarrow 5x=10\\\Rightarrow x = 2[/tex]
ST = 3[tex]x[/tex] = 3 [tex]\times[/tex] 2 = 6 cm
Therefore, the answer is:
Distance between S and T is 6 cm.
If the space between R and S is 2x, the space between S and T is 3x, and RT is 10 centimeters long, then ST is 6 centimeters
Point S lies between points R and T on Line segment RT
RT = RS + ST
The space between R and S is 2x
That is, RS = 2x
The space between S and T is 3x
That is, ST = 3x
RT is 10 centimeters long
RT = 10cm
Substitute RT = 10, ST = 3x and RS = 2x into the equation RT = RS + ST
10 = 2x + 3x
10 = 5x
x = 10/5
x = 2
If x = 2, then
ST = 3x
ST = 3(2)
ST = 6 centimeters
Learn more here: https://brainly.com/question/20418953
Cassie bought a new sweater at the mall. Its original price was $60, but there was a 10 percent discount. How much did Cassie pay for the sweater?
Answer:
54
Step-by-step explanation:
foo dry t it eu it yell hi
x^3 + 2x^2 – 24x
^
write the polynomial in factored form
Answer:
x(x+6)(x-4)
Step-by-step explanation:
They all have x in it, which means we can factor out x first.
x(x^2 + 2x -24)
Now we can factor out the inside doing algebra.
Since 6 multiplied by -4 gives us -24 and adding them gives us 2, 6 and -4 works. This means that we can factor out (x+6) and (x-4).
We still have to multiply the x from the beginning, giving us a final equation of
x(x+6)(x-4).
280000000 in standard form
Answer:
two hundred eighty million
Step-by-step explanation:
Answer:
stranded form=2.8×10^8
Which of the following is the point-slope form of the equation of the line with slope 4
that crosses the point (1, 3)?
Oy-1= 4(x – 3)
Oy+1= 4 (2+3)
Oy-3= 4(x - 1)
Oy+3 = 4(x+1)
Answer:
Third option
[tex]y-3=4(x-1)[/tex]
Step-by-step explanation:
Equation of straight line in point slope form is given as
[tex]y-y_1=m(x-x_1)[/tex]
Here
slope=m=4 and [tex](x_1, y_1) = ( 1, 3 )[/tex]
Equation of straight line having slope 4 and crossing from point (1, 3) is given as
[tex]y-3=4(x-1)[/tex]
The line plot shows the length of rope (in feet) of five pieces of rope. What is the difference in length between the longest and shortest piece of rope?
Answer: am sorry G i can't get that answers for you
Step-by-step explanation:
please put a correct answer and ill give you brainliest and put a wrong answer im reporting and giving 1 star! thanks
Answer:
2^9 as 8+1=9------------------> in number multiplication you add the indices
In a race, the second-place finisher crossed the finish line 1 1 3 minutes after the first-place finisher. The third-place finisher was 1 3 4 minutes behind the second-place finisher. The third-place finisher took 34 2 3 minutes. How long did the first-place finisher take?
Answer: [tex]31\dfrac{7}{12}\text{ minutes}[/tex]
Step-by-step explanation:
Given: Time taken by third-place finisher = [tex]34\dfrac23[/tex] minutes
Time taken by second-place finisher =(Time taken by third-place finisher ) - [tex]1\dfrac34[/tex] minutes
= [tex]34\dfrac23-1\dfrac{3}{4}[/tex]
[tex]=\dfrac{104}{3}-\dfrac{7}{4}\\\\=\dfrac{4(104)-7(3)}{12}\\\\=\dfrac{395}{12}\text{ minutes}[/tex]
Time taken by first finisher = Time taken by second-place finisher ) - [tex]1\dfrac13[/tex] minutes
[tex]=\dfrac{395}{12}-\dfrac{4}{3}\\\\=\dfrac{395}{12}-\dfrac{4\times4}{3\times4}\\\\=\dfrac{395-16}{12}\\\\=\dfrac{379}{12}\\\\=31\dfrac{7}{12}\text{ minutes}[/tex]
Time taken by first finisher [tex]=31\dfrac{7}{12}\text{ minutes}[/tex]
How many groups of 3/4 are in 6 and 1/2
the original price of a sweater is $36 the sale price is 25% of the original price what is the sale price
Answer: 9 dollars
Step-by-step explanation: 36-25%=9
Answer:
$5.40 is your answer
Helpppp
What is the sum of the first twelve numbers of the sequence 3, 7, 11,
15,...?
Answer:
I think it'd be 19
Step-by-step explanation:
well 3 ( +4 ) 7 ( +4) 11 ( +4 ) 15 ( +4) 19
A PE teacher divides the class evenly for
game of kickball. If the likelihood of being on
Team Eagles and Team Jaguars is the same,
then describe a simulation that could represent
the team assignment for next 10 students in PE
class.
PLEASE HELP QUICKLY
Answer:
it would be 5
Step-by-step explanation:
Jessica plans to plant a garden 55 feet away from her house. On a map of her backyard, she drew the garden 22 inches away from the house. Complete the scale: 1 in. = ?.
Answer:
1 inch = 2.5 feet
Step-by-step explanation:
Jessica plans to plant a garden 55 feet away from her house.
On a map of her backyard, she drew the garden 22 inches away from the house.
From the above question, we know that:
22 inches = 55 feet
1 inch = x
Cross Multiply
22 inches × x = 1 inches × 55 feet
x = 1 inches × 55 feet/22 inches
x = 2.5feet.
Therefore, the scale is given as: 1 inch = 2.5 feet
A recipe for 3 cups of snack mix calls for 1··2cup of pretzels. You can describe this as 3 cups of snack mix for every 1··2cup of pretzels and as 1··2cup of pretzels for every 3 cups of snack mix. Why?
Answer:
i do not know
Step-by-step explanation:
What is the constant of proportionality in the equation y=2.50?
constant of proportionality
Answer:
Step-by-step explanation:
Did you mean y = 2.50x? If so, the constant of proportionality is 2.50.
If you really meant y = 2.50, then this is not a proportional relationship and there is NO constant of proportionality.
Answer:
There is no constant of proportionality
Step-by-step explanation:
What is the Y-INTERCEPT of the equation y = x+15
Answer:
15
Step-by-step explanation:
y=mx+b
b is the intercept
in this equation "m", the slope, would be one. the y-intercept, or "b" would be 15
What will happen to the graph of the line y = -5/4x + 3 if you change -5/4 to 5/4?
I will give u a brainlist
Answer:
The slope of the line will change from negative to positive
Step-by-step explanation:
The equation of the line, y = -⁵/4 x + 3, is written in the slope-intercept form, which is y = mx + b. Where,
Slope = m, which means the slope of the line is -⁵/4,
y-intercept = b, which means the y-intercept of the line is 3.
Therefore, if -⁵/4 is changed to ⁵/4, the slope has been changed from negative to positive. Therefore, the graph of the slope of the line will change from negative to positive.
10/ p = 1
250 = 1000/ q
please help
Answer:
p = 10
q = 4
Step-by-step explanation:
10/p = 1
(multiply both sides by p)
10 = 1p
10 = p
250 = 1000/q
(multiply both sides by q)
250q = 1000
(divide both sides by 250)
q = 4
Hope this helps!
Find the value of x
Answer:
see explanation
Step-by-step explanation:
here,3x=6(being X and 3 are intersected by 6)
or x=6/3
or x=2
Answer: 12
Step-by-step explanation:
3 x 12= 36 and the square root of 36 is 6
Diego is trying to follow a recipe, but he cannot find any measuring cups! He only has a tablespoon. In the cookbook, it says that 1 cup equals 16 tablespoons.
1. How could Diego use the tablespoon to measure out these ingredients?
a. 1/2 cup almonds
cup almonds
b. 1¼ cup of oatmeal
c. 2 ¾ cup of flour
2. Diego also adds the following ingredients. How many cups of each did he use?
a. 28 tablespoons of sugar
b. 6 tablespoons of cocoa powder
Answer:
1a. 8 tablespoons
1b. 20 tablespoons
1c. 44 tablespoons
2a. 1 3/4 cups
2b. 3/8 cups
Step-by-step explanation:
1 cup= 16 tablespoons 1/2 cup= 8 tablespoons 1/4 cup= 4 tablespoons
1a. 1/2 cup= 8 tablespoons
1b. 1 cup= 16 tablespoons 1/4 cup= 4 tablespoons
16+4=20
1c. 1 cup= 16 tablespoons 1 cup= 16 tablespoons 1/2 cup= 8 tablespoons 1/4 cup= 4 tablespoons
16+16+8+4=44
2a. 28 tablespoons/ 16 tablespoons= 1.75 cups or 1 3/4 cups
2b. 6 tablespoons/ 16 tablespoons= .375 cups or 3/8 cups
A farm worker makes $100 for 8 hours, What is his pay per hour?
Answer:
$12.50
Step-by-step explanation:
$100 divided by 8 hours = $12.50
(IXL Question) What is the slope?
Answer:
2/3
Step-by-step explanation:
Write the other side of this equation so it's true for no values of x: 12(6x-10) -x=
Nora knit a total of 10 centimeters of scarf over 5 nights. After 6 nights of knitting, how many centimeters of scarf will Nora have knit in total? Solve using unit rates.
Answer:
Step-by-step explanation:
10 ÷ 5 = 2 x6 = 12
Answer:20
Step-by-step explanation:the answer is 20
trust
Prove that -4x - 3 (3x - 6) + 8 (2.5x + 3.5) equals 7x + 46 using the commutative property.
Let's simplify step-by-step.
−4x−3(3x6)+8(2.5x+3.5)
Distribute:
=−4x+−3(3x6)+(8)(2.5x)+(8)(3.5)
=−4x+−9x6+20x+28
Combine Like Terms:
=−4x+−9x6+20x+28
=(−9x6)+(−4x+20x)+(28)
=−9x6+16x+28
Answer:
=−9x6+16x+28
Sb plz help not much a lot of points!!!!! Plz help
Answer:
10 months
Step-by-step explanation:
22x+80=30x
subtract both sides by 30x
-8x+80=0
then subtract 80 from both sides
−8x=−80
divide both sides by -8
x=10
