Answer:
30.80
Step-by-step explanation:
$370/12ft^2
A person places $308 in an investment account earning an annual rate of 2.1%,
compounded continuously. Using the formula V = Pert, where V is the value of the
account in t years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 18 years.
Answer: 449.48
Step-by-step explanation:
The amount of money in the account after 18 years will be $449.5.
What is compound interest?Compound interest is the addition of interest to the principal sum of a loan or deposit. Mathematically -
[tex]$A = P(1 + \frac{r}{n})^{nt}[/tex]
where -
[A] = final amount
[P] = initial principal balance
[r] = interest rate
[n] = number of times interest applied per time period
[t] = number of time periods elapse
Given is that a person places $308 in an investment account earning an annual rate of 2.1%, compounded continuously.
We have the expression for compounding as -
V = P[tex]$e^{rt}[/tex]
V = 308 x [tex]$e^{(0.021)(18)}[/tex]
V = 308 x [tex]$e^{0.378}[/tex]
V = 449.5
Therefore, the amount of money in the account after 18 years will be $449.5.
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SOLVE FOR X BRO'SSSS
Answer:
C) x = -2
Step-by-step explanation:
We just subtract, -19 + 7 = -2
What value of x makes the equation 5(x - 3) + 2x = 41 TRUE?
Answer: x = 8
Step-by-step explanation: PLEASE GIVEBRAINLIEST IT HELPS ALOT
Answer:
x=8
Step-by-step explanation:
Follow the order of operations to simplify the equation:
5(x-3) +2x=41
Start by multiplying into the parenthesis: 5x-15+2x=41
Combine like terms: 5x+2x-15=41 then simplify: 7x-15=41
Add 15 to both sides: 7x=56
Divide both sides by 7 to get x by itself: x=8
Hope this helps! (^-^)
A game is played using one die. If the die is rolled and shows 1, the player wins $50. If the die shows any number other than 1, the player wins nothing. Complete parts (a) through (b) below.
a. If there is a charge of $10 to play the game, what is the game's expected value?
Anyone help me with this please:)
Answer:
130 is the answer
Step-by-step explanation:
hope this helps
PLEASE HELP ASAPPPPP
Answer:
Quadrant 2
Step-by-step explanation:
15
The length of a plane is 19.2 metres.
Lukas buys a scale model of the plane.
The scale of the model is 1:24
Work out the length of the scale model of the plane.
Give
your answer in centimetres.
Answer:
[tex]Model = 80cm[/tex]
Step-by-step explanation:
Given
[tex]Length = 19.2\ m[/tex]
[tex]Scale=1:24[/tex]
Required
Determine the scale measurement in centimeters
The scale can be represented as: [tex]Model : Actual[/tex]
[tex]Scale = Model : Actual[/tex]
Substitute 19.2 for Actual Length
[tex]Scale = Model : 19.2\ m[/tex]
Represent as a fraction
[tex]Scale = \frac{Model}{19.2m}[/tex] --- (1)
Recall that:
[tex]Scale=1:24[/tex]
Represent as a fraction
[tex]Scale = \frac{1}{24}[/tex] --- (2)
Equate (1) & (2)
[tex]\frac{Model}{19.2m} = \frac{1}{24}[/tex]
Multiply through by 19.2m
[tex]Model = \frac{1}{24} * 19.2m[/tex]
[tex]Model = \frac{ 19.2m}{24}[/tex]
Convert to centimeter
[tex]Model = \frac{ 19.2 * 100cm}{24}[/tex]
[tex]Model = \frac{ 1920cm}{24}[/tex]
[tex]Model = 80cm[/tex]
Hence, the length of the scale model is 80 cm
Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax+By=C.
m= - 1/4,(-7,0)
The equation of the line in the form Ax+By=C is _________.
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
Answer:
The equation of the line in the form Ax+By=C is [tex]\mathbf{ x+4y=-7}[/tex]
Step-by-step explanation:
We need to write an equation of line that have slope m= -1/4 and point(-7,0)
We would use slope-intercept form: [tex]y=mx+b[/tex]
where m is slope and b is y-intercept.
We are given slope m = -1/4 but we need to find y-intercept
Finding y-intercept
Using the slope m= -1/4 and point(-7,0) we can find y-intercept (b)
[tex]y=mx+b\\0=-\frac{1}{4}(-7)+b\\0= \frac{7}{4}+b\\b=-\frac{7}{4}[/tex]
Now finding the equation of line having slope m= -1/4 and y-intercept b= -7/4
[tex]y=mx+b\\y=-\frac{1}{4}x-\frac{7}{4}[/tex]
Now converting into form Ax+By=C :
[tex]y=-\frac{1}{4}x-\frac{7}{4}\\y=\frac{-x-7}{4}\\4y=-x-7\\x+4y=-7[/tex]
The equation of the line in the form Ax+By=C is [tex]\mathbf{ x+4y=-7}[/tex]
Identify the exponential function whose graph is given below
Answer:
f(x)= -7 * 2^x
Step-by-step explanation:
The graph of the function goes through the point (0,−7) and (1,−14), so if f(x)= ab^x, then
f(0)= ab^0 = a
f(1)= ab^1 =ab
a=-7 and ab =-14 so,
b= -14/-7 = 2
thus the function is f(x)= -7 * 2^x
The exponential function y = -7b² is the required function.
What is an exponential function?An exponential function is a function which can be defined as y = aˣ, Where 'x' is a variable and 'a' is a constant.
From the given diagram,
The graph of the function go through the points (0,-7) and (1,-14),
And graph is exponential,
Let y= abˣ (1)
y₀ = a and y₁ = ab
At x=0, y₀ = -7 ⇒a=-7
and ab=-14 ⇒ b= 2
Substitute the value of a and b in equation (1) ,
The function,
y = -7b²
The required function is y = -7b².
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Solve the equation using the distributive property and properties of equality. Negative 5 (a + 3) = negative 55 14 -8 8 -14
Answer:
11
Step-by-step explanation:
55 divide 5 = 11
11 + 3 = 15
5 × 11 = 55
Hi , the answer I choose was wrong , what is the correct answer ? Will choose brainlest so be quick
Answer:
Not congruent
Step-by-step explanation:
Missing angel Q andK
Solve the equation 11/15 = w - 8/15
Select all true statements, 25 points
Answer:
the first one and the last one
Step-by-step explanation:
n ecology, a measure of diversity of a species in a certain population is called the diversity index. The diversity index D is defined as the probability that any two organisms selected at random from the population will be from different species. a. If every organism in a population is from the same species, what is the value of the diversity index D
Answer: the value of the diversity index D is Zero (0)
Step-by-step explanation:
Just as the meaning of diversity index is boldly explained in the question, it is the probability that randomly selected organism from a population are from a different species.
Now if the organisms are all from the same species in a population then it is impossible to select two organisms from different species.
That is, we can never select two organisms that are not from the same species.
Hence, we cant fulfil or meet the definition of diversity index .
Therefore in this situation the value of our diversity index D will be exactly zero, D = 0.
The weekly salaries of elementary school teachers in one state are normally distributed with a mean of $490 and a standard deviation of $45. If one elementary school teacher is randomly selected, what is the probability that he/she earns less than $450 a week?
Answer:
The probability is [tex]P(X < 450 ) = 0.18703[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = \$ 490[/tex]
The standard deviation is [tex]\sigma = \$ 45[/tex]
Generally the probability that he/she earns less than $450 a week is mathematically represented as
[tex]P(X < 450 ) = P(\frac{X - \mu }{\sigma} < \frac{450 - 490}{45} )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P(X < 450 ) = P(Z < -0.8889 )[/tex]
From the z table the area under the normal curve to the left corresponding to -0.8889 is
[tex]P(Z < -0.8889 ) = 0.18703[/tex]
=> [tex]P(X < 450 ) = 0.18703[/tex]
Help plzzzzzzz will give brainliest
Answer:
7.2
Step-by-step explanation:
Mean is when you add all the numbers together and divide them by the number of values there are in total.
There are 10 numbers, so find the sum of all the numbers and divide by 10.
[tex]\frac{12+8+14+5+1+3+0+8+10+11}{10}[/tex] = 72/10 = 7.2
22,389 ÷ 13=??R??
Please add the remainder and answer! I will give brainliest!
Answer:
1,722 R=3 hope this helps
The range of both functions will be ?
A)the set of natural numbers
B)the set of integers
C)all real numbers
D)the set of whole numbers
E)the set of rational numbers
Answer:
it is b
bbbbbbb!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Which expression is equivalent to -6(-2/3+2X)?
Answer:
4-12x
Step-by-step explanation:
-6(-2/3)= 12/3=4
SOMEONE PLEASE HELP WITH MY MATH ON MY ACCOUNT PAGE
Answer:
Ok! :)
Step-by-step explanation:
Ling spent $23.96 on cooking fuel for an upcoming camping trip. If she bought 4 cans of fuel, how much did she pay for each can?
$
Answer:
$5.99 per can of gas
Step-by-step explanation:
$23.96 divided by 4 = $5.99
This means that each can of gas is $5.99.
Answer:
$95.84
Step-by-step explanation:
Each can of Fuel is $23.96 and you want to find out How much she payed for 4. So all you have to do is multiply the given cost($23.96) by the amount of fuel cans(4). 23.96 times 4 give you the answer $95.84.
Shonda goes to a restaurant with no more than $15 to spend. She buys a burger that costs
$10.50 and one other item. Write an equation to express how much money Shonda spent at the
restaurant.
Answer:
she has 4.5
and she should´ve got bacon egg and cheese than that burger
2x + 7y = 28
7x - 2y = 4
Answer:
Step-by-step explanation:
2x. X = 2. H4. 4=22. 7.(2-x) = x+1 mai. شاليها. • -x=x+1. + (3 - 3 x + 1 +. 6-3x = 4x + 4. Bebetto. 2=7x -. - 4-2=34+12. - ý 2=2y+12. +. 3X= 12-X.
is 9pi > 27 a true inequality?
If f(x) = 4x2 – 3x + 7, what is f(-2)?
Answer:
29
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
Assuming that you meant the first term to be 4x² then you just plug in -2 to all of the x-values in the function
30 points!!!
(1 Point)
If f(x) = 2x - 1 and g(x) = x2 + 5, find each value.
f(7).
g(-9)
Answer:
f(7)=13
g(-9)=86
Step-by-step explanation:
f(7)=2*7-1=14-1=13
g(-9)=(-9)^2+5=81+5=86
[image above]
i specifically need help with c & e.
Answer:
c : 2h-5
e: (4x - 3)/6 +5
Step-by-step explanation:
What is the slope of the line through (-10, 1) and (0,-4)?
Answer:
m=-1/2
Step-by-step explanation:
m=-4-1/0- -10
m=-1/2
What number am I? I am three digits long. My hundreds digit is an odd number. My tens and ones digit are a multiple of 5. All of my digits equal 16.
Answer:
925
Step-by-step explanation:
I think ;)
In the decade between 2001 and 2010, real outlays grew by – %. Total (nominal) outlays are now nearly $– trillion per year, or more than $– per U.S. citizen.
Answer:
37%
$4trillion
$12000
Step-by-step explanation: