Answer:
if I'm supposed to solve for P, the answer is 50
Step-by-step explanation:
1/2p-10=15
1/2p=25, subtraction property of equality
p=50, multiplication property of equality
therefore, P is equal to 50
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%
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:
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
my question is down there
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:
Pls Help. I'm stuck. And this is the Course Challenge
Answer:
A
Step-by-step explanation:
A rotation of 180 degrees will fit perfectly with shape pink
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
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.
PLEASEE HELP 51 POINTS PLEASEE
Answer:
Part A is $21 and part B is $30.21
Answer this one question please thanks
Answer:
option b is correct answer
Which equation is equivalent to : 2(-3x-6) = -5
Answer:
-6x-12=-5
Step-by-step explanation:
Just distribute
30 16565x
What is the solution to this equation
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 plumber is draining a tub, The graph shows the water level of the tub in gallons after draining for x hours.
What is the range of the function for this situation.
A) all real number is greater than or equal to 0 and less than or equal to 15.
B) all real numbers less than or equal to 15.
C) all real numbers greater than or equal to 0 and less than or equal to 20.
D) all real numbers less than or equal to 20.
Stephen imports cars from the USA. He sells them in the UK. He has just bought a car in the USA costing $24 000. It cost him £900 to import the car to the UK. The exchange rate is £1 = $1.45. Stephen needs to make a profit of 20% on his total costs.
Work out the least amount that Stephen must sell the car for in the UK. Give your answer in pounds.
Answer:
£20942.04
Step-by-step explanation:
The total cost of the car includes its purchasing price and the cost of importing it into the UK.
Cost of the car in pounds = 24000/1.45 = £16,551.7
Total cost of the car = £16,551.7 + £900 = £17,451.7
If the profit made is 20%
Then;
Profit % = selling price - cost price/cost price * 100/1
Let selling price = SP
Cost price = CP
20 = SP - CP/CP * 100/1
20 = SP - 17,451.7/17,451.7 * 100/1
17,451.7 (20) = 100(SP - 17,451.7)
349034 = 100SP - 1745170
349034 + 1745170 = 100SP
2094204 = 100SP
SP = £20942.04
What is -10=k+6 please show work thank you
Answer:
k=-16
Step-by-step explanation:
-10=k+6
subtract 6 both both sides to isolate the variable
-16=k
Happy Holidays!!
Answer:
K= -16
Step-by-step explanation:
k=( -10)_6
make as brainlist
nonpurchasers to total customer 37 and 13
1. A force of 30N is applied to a screwdriver to pry the lid off of a can of paint. The
screwdriver applies 90N of force to the lid. What is the MA of the screwdriver?
Answer:
I would have to guess that the MA of the screwdriver is 120N.
Step-by-step explanation:
I think this because you are adding 30 and 90, since there are two forces being acted on the same place in the same direction.
#teamtrees #WAP (Water And Plant)
#teamtrees #WAP (Water And Plant)
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
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]
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
Pls help me with number 4.)
Answer:
4 x [tex]\frac{3}{2}[/tex] = 6
Step-by-step explanation:
The division equation would be 4 divided by 2/3, but that is equal to 4 x 3/2 = 6.
Hope it helps! (I'm so sorry if it's wrong).
Answer:
2.66
Step-by-step explanation:
2/3 of 4 is the same as:
2/3 * 4 = (2/3) * (4/1)
By the rules for multiplying fractions, this is (2*4) / (3*1) = 8/3
8/3 is 2.66
Will give brainliest help
Answer:
i cant download the photo
Step-by-step explanation:
Answer:
5/6
7/12
1 5/12
Step-by-step explanation:
I did the first 3 for u.. look up fraction calculater! then you will get the rest! hope this helps u!! :D
PLEAS PLEAS PLEAS HELP ME!!!!!!!!!!!!!!!
The Garcias are on their way to the beach. They are traveling at
a rate of 30 miles per hour. Use the ordered pairs to graph the
distance traveled over time.
Answer:
draw a line for the plotted points and put an arrow at the end, see my answer
Step-by-step explanation:
please click the heart button to give thanks for my work! :)
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.
if John owes 300 dollars and pays 50 a week what are the dependent and independent variables
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
A. Determine the value of an account in which a person invested $6000 for 12 years at an annual rate of 9% compounded annually (n= 1).
Answer:
16875.98
Step-by-step explanation:
6000(1+(0.09/1)^1*12 = 16875.98
Answer:
1648
Step-by-step explanation:
A=p(1+rt)
=6000$(1+(9/100)×12))
=1648.56
Money is put into two accounts. Account A earns 3.5% interest annually, and account B eanrs 2.6% interest annually. Assuming $20,000 is split evenly among the accounts and interest is not compounded, how much interest would be earned in total after 6 years?
Answer:
$3360 combined. $1560 from acct b and $2100 from acct a
The coordinates of the vertices of a polygon ABCD are shown on the graph below.
On a coordinate plane, point A is at (negative 4, 3), point B is at (negative 2, negative 2), point C is at (4, negative 2), and point D is at (4, 3).
If the points are connected, what polygon is formed?
Heptagon
Octagon
Quadrilateral
Triangle
Step-by-step explanation:
c
Answer:
c
Step-by-step explanation: