Answer:
392
Step-by-step explanation:
hope this helps dont 4get to like and star
-mercury
A 6-ounce can of Frozen orange juice costs $1.02. Give the unit price in cents per ounce
The unit price in cents per ounce will be 17 cents / ounce.
The cost of the 6 ounce frozen orange juice is given as:
Cost = $ 1.02
We know that:
$ 1 = 100 cents.
So, by using multiplication, we get that:
$ 1.02 = 1.02 × 100 cents
$ 1.02 = 102 cents.
Now, Number of ounces = 6 ounces
Unit price in cents per ounce = 102 cents / 6 ounce
Unit price in cents per ounce = 51 cents / 3 ounce
Unit price in cents per ounce = 17 cents / ounce
Therefore, the unit price in cents per ounce will be 17 cents / ounce.
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When the interest on an investment is compounded continuously, the investment grows at a rate that is proportional to the amount in the account, so that if the amount present is P, then dP dt = kP where P is in dollars, t is in years, and k is a constant. If $180,000 is invested (when t = 0) and the amount in the account after 17 years is $421,136, find the function that gives the value of the investment as a function of t. (Round your value of k to two decimal places.)
Answer:
the interest rate on this investment k = 0.05 or 5%
Step-by-step explanation:
Given that;
dp/dt = kp
dp/p = k dt
now we integrate on both sides
integral dp/p = integral k dt
ln p = kt + c
p =e^kt + c
p = ce^kt
Given that p = $180,000 is invested (when t = 0)
p = ce^kt
we substitute
180000 = ce^k×0
180000 = ce^0
180000 = c × 1
c = 180,000
we substitute the value in the equation
p = 180000e^kt
now given that the amount in the account after 17 years is $421,136
i.e at t = 17 and p = 421,136
we substitute
421,136 = 180000e^17k
divide both sides by 180000
421136/180000 = 180000e^17k / 180000
e^17k = 2.3396
17k = In(2.3396)
17k = 0.8499
k = 0.04999 ≈ 0.05
therefore the interest rate on this investment k = 0.05 or 5%
How can you express (15 + 30) as a multiple of a sum of whole numbers with no common factor?
A.
2 × (7.5 + 15)
B.
3 × (5 + 10)
C.
5 × (3 + 6)
D.
15 × (1 + 2)
Answer:b because the equation is right.
Step-by-step explanation:
Step-by-step explanation:
D.
15 × (1 + 2) is you're answer
Evaluate the expression when y = 4 y/2-8
Answer:
-6
Step-by-step explanation:
Using PEMDAS , division comes first.
4 ÷ 2 - 8
= 2 - 8
= -6
Stephanie has three shirts for every two pairs of jeans that she owns. If she owns 14 pairs of jeans, then how many shirts does she own?
Answer:
21 shirts
Step-by-step explanation:
Ratio jeans to shirts: 2:3
Mutiply by the same
2 to get to 14 is 7
7 x 2 = 14
7 x 3 = 21
Answer: i think the answer is 21
Step-by-step explanation:
12 1 10 − 5 5 6 = Enter the fraction as a mixed number in simplest form. Use a space between the whole and fractional part.
Answer:
467
Step-by-step explanation:
I have no idea how to solve this, please help with the answer
83, 15, 50, 28, 52, 96 - What is the mean? What is the mode? What is the median?
Answer:
Mean: 54
Mode: There is none
Median: (50+52)/2 = 51
Step-by-step explanation:
Hope this helps!!! :D
Chris bought a pizza that was cut into 8 slices. He saw olives on 2 of the slices. If he chooses a slice at random, what is the probability that he gets a slice without olives?
2/8
If you are thinkinking logically, however, it's 50/50 since it's either you get them or not
Answer:he has a 75% chance of getting a piece without olives
Step-by-step explanation:
A bus and a truck leave a gas station at the same time and are headed to the same destination. If the bus traveled 480 miles in 8 hours, and the truck traveled 210 miles in 3 hours, who is on pace to reach the destination first?
Answer:
The truck
Step-by-step explanation:
You need to first find out how many miles per hour each is going. To do this you need to divide. 480/8=60 210/3=70 with this information you just need to take the one that goes faster which is the truck.
PLEASEE HELP 51 POINTS PLEASEE
Answer:
Part A is $21 and part B is $30.21
if John owes 300 dollars and pays 50 a week what are the dependent and independent variables
Answer this one question please thanks
Answer:
option b is correct answer
How can you determine the domain of a sine function?
Answer:
Step-by-step explanation:
Note that the domain of the function y=sin(x) ) is all real numbers (sine is defined for any angle measure), the range is −1≤y≤1 . The graph of the cosine function looks like this: The domain of the function y=cos(x) is all real numbers (cosine is defined for any angle measure), the range is −1≤y≤1 .
A certain bacteria can divide every hour. Which of the following equations represents the number of cells, N, that is present after t hours?
A
N(t)=2t
B
N(t)=2/t
C
N(t)=2t
D
N(t)=t2
Answer:
N(t) = N0/2^t
Step-by-step explanation:
Given that:
Number of cells present after t hours = N
Let initial number of cells = N0
Using the exponential decay relation:
N(t) = N0(1/2)^t
N(t) = N0/2^t
Hence, the number of cells N present after t hours is N(t) = N0/2^t.
Find the midpoint of the segment with the following endpoints.
(4,7) and (10,3)
Answer:
7, 5
Step-by-step explanation:
Answer:
I hope this may helps you
Help with this problem
Answer:
18
Step-by-step explanation:
side length of triangle RST is 4 ✓ 3, 3 ✓ 3
So, area of triangle RST = 1/2 × 4✓ 3 × 3✓ 3 =18
sorry can u delete this my answer is wrong lol
Given sin theta and angle θ is in Quadrant III, what is the exact value of cosθ in simplest form? Simplify all radicals if needed.
Answer:
Unfortunately, you have to give the exact value of sin theta in order to solve this problem. Therefore, this problem, at least for the meantime, is unsolvable. Please rectify this! Thank you!
Answer:
sin theta in Quadrant III,
sin theta =√(1-cos²theta)
what is the sum
56+90=_____
Answer:
146
Step-by-step explanation:
What is the least common denominator of 1/2,2/3 and 3/8 OA) 48 OB) 24 O C) 16 OD) 12 plz help me
Answer:
24
Step-by-step explanation:
The required least common denominator (LCD) of 1/2, 2/3, and 3/8 is 24.
What is the least common denominator?The least common denominator has a defined factor that is least common among the factors of the denominator is called the least common denominator.
Here,
Rewrite each fraction with the least common denominator (LCD) of 24 by multiplying both the numerator and denominator by the appropriate factor:
1/2 = (1/2) * (12/12) = 12/24
2/3 = (2/3) * (8/8) = 16/24
3/8 = (3/8) * (3/3) = 9/24
Check that the fractions have the same denominator:
12/24, 16/24, and 9/24
Therefore, the least common denominator (LCD) of 1/2, 2/3, and 3/8 is 24.
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factor out the coefficient of the variable : 2/3j - 2/9
Answer:
j3a3
Step-by-step explanation:
my question is down there
Hellpppppppppppppp ASAP
Answer:
C
Step-by-step explanation:
graphs A and B are called quadratic equations; example, x^2 - x - 6 and, when graphed form u-shaped curves that either cross the x-axis at one or two points, or possibly not at all.
graph D is a linear equation, x = -4
graph C is created by an equation where the x-value is raised to the third power; try graphing y = x^3 and see how it looks
For a party, 10 friends are buying 100 cups, 100 plates, a
punchbowl, and 200 balloons.
DATA
Party Supplies
100 balloons $7.80
100 plates
$4.75
100 cups
$5.45
100 napkins
$2.09
10 invitations $1.60
plastic punchbowl $11.50
What stepe do you need
to solve to find the
answer?
a. How much did they spend on party supplies?
Answer:
the answer i believe is 37.30
What is the slope of the line through (1,0) and (3, 8)?
Answer:
4
Step-by-step explanation:
the equation for slope: (y2-y1)/(x2-x1)
the points are (1,0), and (3,8)
we can label them
x1=1
y1=0
x2=3
y2=8
now, substitute into the equation (m=slope)
m=(8-0)/(3-1)
m=8/2
m=4
brittany is listening to a song on the internet. the song is streaming at a rate of 128 kilobits per second. There are 8 kilobits in 1 kilobyte. What is the streaming rate in kilobytes per second?
Step-by-step explanation:
16 because 128 divided by 8 is 16
It costs Guido $0.20 per minute to forward voicemail messages as texts to his cell phone. He already spent $4 in forwarding messages this month. His mom has spent $2 forwarding messages. It costs her $0.40 per minute so she can call long distance. Guido’s mom said they have to spend the same amount. How many minutes can he talk?
Answer:
10 Minutes
Step-by-step explanation:
To talk the same amount of time he would have to spend $2. So $0.20 per minute would mean that for 5 minutes it is $1, so he can have 10 minutes
What postulate/theorem can be used to prove the following triangles congruent?
Answer:
SAS
Step-by-step explanation:
2 sides and 1 angle are congurent
Answer:
The S.A.S rule can be used to prove the following triangles congruent.
Step-by-step explanation:
The S.A.S rule is when 2 sides and the angle in that triangle are equal to the 2 sides and angle of the other triangle, then u can considere that triangle congruent.
Need help plz need to solve for x.
1) 2x-7= -2x+1
2) 2(x-7)=6-2x
Answer:
1( ×=2
2( x=5
ekekjejew
Point G and point H are the same distance form point F. Which coordinates could be the location of point H?
Answer:
[tex]H = (5,1)[/tex]
Step-by-step explanation:
The attachment is not clear. However, the points of G and F are:
[tex]F = (3, 2)[/tex]
[tex]G = (4, 4)[/tex]
And the options are:
[tex]A.\ (1, 2) \\ B. (4, 2)\\ C. (5, 1) \\ D. (2, 5)[/tex]
Required
Determine the coordinates of H
This question will be solved using distance formula, D
[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Since F is equidistant of G and H, the formula can be represented as:
[tex]D = \sqrt{(x_2 - x)^2 + (y_2 - y)^2}[/tex] and
[tex]D = \sqrt{(x_1 - x)^2 + (y_1 - y)^2}[/tex]
Where:
[tex](x_1,y_1) = (4,4)[/tex]
[tex](x,y) = (3,2)[/tex]
[tex]H = (x_2,y_2)[/tex]
Substitute values for x , y , x2 and y2 in [tex]D = \sqrt{(x_2 - x)^2 + (y_2 - y)^2}[/tex]
[tex]D = \sqrt{(x_2 - 3)^2 + (y_2 - 2)^2}[/tex]
Square both sides:
[tex]D^2 = (x_2 - 3)^2 + (y_2 - 2)^2[/tex]
Substitute values for x , y , x1 and y1 in [tex]D = \sqrt{(x_1 - x)^2 + (y_1 - y)^2}[/tex]
[tex]D = \sqrt{(4 - 3)^2 + (4 - 2)^2}[/tex]
Square both sides:
[tex]D^2 = (4 - 3)^2 + (4 - 2)^2[/tex]
[tex]D^2 = (1)^2 + (2)^2[/tex]
[tex]D^2 = 1 + 4[/tex]
[tex]D^2 = 5[/tex]
Substitute 5 for D^2 in [tex]D^2 = (x_2 - 3)^2 + (y_2 - 2)^2[/tex]
[tex]5 = (x_2 - 3)^2 + (y_2 - 2)^2[/tex]
From the list of given options, the values of x and y that satisfy the above condition is: (5,1)
This is shown below
[tex]5 = (5-3)^2 + (1-2)^2[/tex]
[tex]5 = (2)^2 + (-1)^2[/tex]
[tex]5 = 4 + 1[/tex]
[tex]5 = 5[/tex]
Other options do not satisfy this condition. Hence, the coordinates of H is:
[tex]H = (5,1)[/tex]