Answer:
t= 11.9
Step-by-step explanation:
Compounded Continuously:
A=Pe^{rt}
A=Pe
rt
A=390\hspace{35px}P=290\hspace{35px}r=0.025
A=390P=290r=0.025
Given values
390=
390=
\,\,290e^{0.025t}
290e
0.025t
Plug in
\frac{390}{290}=
290
390
=
\,\,\frac{290e^{0.025t}}{290}
290
290e
0.025t
Divide by 290
1.3448276=
1.3448276=
\,\,e^{0.025t}
e
0.025t
\ln\left(1.3448276\right)=
ln(1.3448276)=
\,\,\ln\left(e^{0.025t}\right)
ln(e
0.025t
)
Take the natural log of both sides
\ln\left(1.3448276\right)=
ln(1.3448276)=
\,\,0.025t
0.025t
ln cancels the e
\frac{\ln\left(1.3448276\right)}{0.025}=
0.025
ln(1.3448276)
=
\,\,\frac{0.025t}{0.025}
0.025
0.025t
Divide by 0.025
11.8506326=
11.8506326=
\,\,t
t
t\approx
t≈
\,\,11.9
11.9
Round to the nearest tenth of a year
Go to my question that says “ What’s the area of the triangle??” please help me
Answer:
Ok I'll help
Step-by-step explanation:
The total of your bill at the restaurant is $42.50.You want to leave a 10%tip. What is the amount of money you would leave for the tip. Brainly
Explanation is in the file
tinyurl.com/wpazsebu
w Circumference (definition)
Answer:
Definition: The enclosing boundary of a curved geometric figure, especially a circle.
Step-by-step explanation:
is this correct?
i didn’t know how to do my homework so i found the answer key but my teacher said it was wrong, what do i do?? and can someone explain it
Answer:
Step-by-step explanation:I had this in an exam and got the same as you but my teacher explained to change 4 squared 5 to 5 squared 4 i am not 100% sure as to why you have to do this but apparently that was the answer hope this helps
Answer:
yes he have a great answear
Which inequality represents "six times a number is less than negative thirty-nine and three-quarters"?
Answer:
6*n < - (39 + 3/4)
Step-by-step explanation:
Let's do it in steps:
"Six times a number" can be written as:
6*n
Where n is the "number"
"... is less than negative thirty-nine and three-quarters "
then we have:
6*n < - (39 + 3/4)
This is the inequality we wanted, now we can also solve this for n as:
n < -(39 + 3/4)/6
Please answer asap
no work needed :)
Answer:
2x+12 simplified is x+4
What is the volume, in cubic feet, of this cylinder?
10 ft
20 ft
If x^3+y^3−12xy+64=0, what is the value of x+y?
Answer:
I don't know
Step-by-step explanation:
I don't really know but if you want help with math questions try this website called wolfram alpha. It's great
I need help!I’ve been struggling on this worksheet for so long!
Answer:
I think that the answers to this question are B , C .
PLEASE HELP WHAT INEQUALITY DOES THE NUMBER LINE GRAPH REPRESENT
Answer:
x≥-5
Step-by-step explanation:
Hope this helps.
Paper clips are sold in boxes of 1000.
Each box costs £15.40
The table below shows the discount offered for large orders.
Ethan orders 5 boxes of paper clips.
Work out the amount of discount Ethan gets.
Answer:
6.5%
Step-by-step explanation:
1000 in a box and he orders 5 boxes.
1000x5= 5000
So he orders 5000 paper clips
1 box is £15.40 and he order 5, so £15.40x5= £77
£77 is between £55 and £79.99 so he will get 6.5% discount.
After the discount he will pay £71.99
please help with my geometry
Answer:
92.99
Step-by-step explanation:
Since this is a right triangle sine can be used to find the missing side. Sine should be used because you have the opposite and are trying to find the hypotenuse. So, following SOH-COH-TOA, the equation should be [tex]sin(34)=\frac{52}{x}[/tex]. Then, isolate x; once x is isolated the equation should be [tex]x=\frac{52}{sin(34)}[/tex]. Finally, plug that into a calculator to get ≈92.99116, which rounds to 92.99.
Please help and make sure you get it right.
Answer:
Both 1 and 2
Step-by-step explanation:
identify the zeros of the polynomial function .
Step-by-step explanation:
To start, every term has an
x
in common, so we can factor that out. Doing this, we get
x
(
x
2
+
x
−
42
)
=
0
What I have in blue can be factored by a thought experiment. What two numbers have a sum of
1
and a product of
−
42
?
After some trial and error, we arrive at
−
6
and
7
. Thus, this business can be factored as
x
(
x
−
6
)
(
x
+
7
)
=
0
We can leverage the zero product property here, setting all three terms equal to zero. As our zeroes, we get
x
=
0
,
x
=
6
, and
x
=
−
7
Please help me with the answer on this question
How many solutions does the system of equations have?
x = -3y + 4 6y + 2x = 8
Answer:
The equation x = -3y + 4 6y + 2x = 8 has infinite number of solutions.
PLEASE HURRY UP AND HELP ME NOW ASAP !
Answer:
D
Step-by-step explanation:
Linear Functions will never have curve lines in the graph.
the answer is D. Linear functions are those whose graph is a straight line
15+(√9 *7)/3
Simplify
Step-by-step explanation:
15+(3×7)/3
simplify by 3
15+7
22
When a rectangle is rotated about one side forms which solid?
A. Rectangular pyramid
B. Cylinder
C. Sphere
D. Rectangular prism
what is the best description pf addititon property of equality
Addition Property of Equality
If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal.
Brainliest for correct answer
Answer:
a =b
b=d
Step-by-step explanation:
alt angle
corresponding angle
Help!!!!!!!!!
I need the answer to this question the correct answer
I will mark you brainliest:)
I need it Asap!!!!
Please help I need to get this done and I am confused
Answer:
Step-by-step explanati
7,5
6,8
2,4
1,3
Solve please I’m trying to find out if it’s 1/20 or 5/4
Answer:
I’m pretty sure it’s 5/4
Step-by-step explanation:
The sales representative went to made a deal with the schools for a discount on the individual juice bottles the company usually sells the bottles to the distributors for $2.25 but they are selling them to the schools for 15% off for what price will they sell each bottle to the school?
Answer:
$1.91 per bottle :)
Step-by-step explanation:
In a museum there is a sculpture in the shape of a cylinder. The cylinder has a diameter of 12 feet and a height of h feet. Which equation can be used to find V, the volume of the cylinder in cubic feet? Group of answer choices
Answer:
Volume of the cylinder =
= 36πh cubic feet
= 113.1h cubic feet
Step-by-step explanation:
In a museum there is a sculpture in the shape of a cylinder. The cylinder has a diameter of 12 feet and a height of h feet. Which equation can be used to find V, the volume of the cylinder in cubic feet? Group of answer choices
The formula for the volume of a cylinder is = πr²h
From the above question:
Diameter = 12 feet
Radius = Diameter/2
= 12 feet/2 = 6 feet
Height = h
Hence:
Volume of the cylinder =
(π × 6² × h )cubic feet
= 36πh cubic feet
= 113.09733553h cubic feet
Approximately = 113.1h cubic feet
A rectangle has a perimeter of 24 ft. Following a dilation, the new perimeter of the
rectangle is 36 ft.
Determine the scale factor of the dilation.
Answer:
it has increased by 1/2 so the scale factor would either be 3/2 or 1.5 or something
Step-by-step explanation:
which graph shows the solution to the system of equations?y =-2x+1 and y =-3/2
Answer:
(1.25, -1.5)
Step-by-step explanation:
The system of equations:
y = -2x + 1
y = -3/2
So we know that the two lines meet at the point where y = -3/2 = -1.5
∴ -1.5 = - 2x + 1
2x = 1 + 1.5 = 2.5
x = 2.5 ÷ 2 = 1.25
So the solution to this system of equation (or where the two lines meet) is the point (1.25, -1.5)
Help ASAP I need to get this question correct
Answer: The answer is NO
Step-by-step explanation:
The Adams family bought a small piece of land in the hill country. The plot is in the shape of a rectangle and measures about 50 yards by 41 yards. What is the area of the plot?
Given:
The dimensions of a rectangular plot are 50 yards by 41 yards.
To find:
The area of the plot.
Solution:
We know that, the area of a rectangle is
[tex]Area=Length\times width[/tex]
So, the area of the rectangular plot is:
[tex]Area=50\times 41[/tex]
[tex]Area=2050[/tex]
Therefore, the area of the rectangular plot is 2050 square yards.