Answer: perimeter: 40.79
Area: 84
Step-by-step explanation:
perimeter: (√3² + 6²) + (√1² + 6²) + 7 + 6 + 6 + 9 = 40.79
area: ((9 + 6) x 6) / 2 + ((6 + 7) x 6) / 2) = 45 + 39 = 84
Camden invested $1400 in an account that pays 4.5% interest compounded annually Assuming no deposits or withdrawals are made, find how much money Camden would have in the account 12 years after his initial investment. Round to the nearest tenth ( if necessary)
The amount of money Camden would have in his account after 12 years is equal to $2,374.3.
How to calculate compound interest.To calculate how much money Camden would have in his account after 12 years, we would use the formula for compound interest.
Mathematically, compound interest is given by this formula:
[tex]A=P(1+r)^t[/tex]
Where:
A is the balance.P is the principal or starting amount.R is the interest rate.T is the time measured in years.Given the following data:
Principal = $1400.
Interest rate = 4.5% = 0.045.
Time = 12 year.
Substituting the given parameters into the formula, we have;
[tex]A=1400(1+0.045)^{12}\\\\A=1400(1.6959)[/tex]
A = $2,374.3.
Read more on interest here: brainly.com/question/24341207
Triangle XYZ is dilated by a scale factor of 4 3 . Which algebraic rule represents how to find the coordinates of triangle X’Y’Z’?
When the triangle XYZ is dilated by a scale factor of 4/3, the resulting triangle would have a bigger side lengths
The algebraic rule is [tex](x,y) \to (\frac 43x,\frac 43y)[/tex]
How to determine the algebraic rule?From the question, we understand that:
The scale factor (k) of the dilation is:
k = 4/3
The dilation rule across the origin is represented as:
[tex](x,y) \to k(x,y)[/tex]
Substitute 4/3 for k
[tex](x,y) \to \frac 43(x,y)[/tex]
Expand
[tex](x,y) \to (\frac 43x,\frac 43y)[/tex]
Hence, the algebraic rule that represents how to find the coordinates of triangle X’Y’Z’ is [tex](x,y) \to (\frac 43x,\frac 43y)[/tex]
Read more about dilation at:
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( Pls Help ASAP) 1 question 15 points))
Answer:
-3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
It says to find the value at x=2. This is going to be a vertical line that passes through the point (2,0). This vertical line intersects the function at (2,-3) therefore the value of the function at 2, is -3.
I hope this helps!
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HELPPPPPPPPPPPPPPPPPPPPPP
Answer:
x=6
Step-by-step explanation:
i hope it's helpful for youAnswer:
x=6
Step-by-step explanation:
24÷4=6
4×6=24
Hope it helps :))
What is 3(b+8) in Distributive Property
Answer:
3b + 24
Step-by-step explanation:
3*b=3b
3*8=24
therefore the answer is 3b+24
Hope this helps:)...if not then sorry for wasting your time and may God bless you:)
What equation best matches?
A cylindrical water tank has a diameter of 9 feet and a height of 16 feet. Each can of paint covers 50 square feet. What is the minimum number of cans of paint needed to cover the outside of the tank
Answer:
12 cans
Step-by-step explanation:
The area of the outside of the tank:
radio = half diameter = 4.5 ft.
base: [tex]A_{b} =\pi r^{2} =\pi (4.5)^{2} =20.25\pi[/tex]
Top: = base [tex]=20.25\pi[/tex]
cylinder: [tex]2\pi rh=2\pi (4.5)(16)=144\pi[/tex]
Total area to paint: [tex]144\pi +2(20.25\pi) =184.5\pi =579.6sq.ft.[/tex]
Number of cans of paint:
[tex]c=\frac{579.6}{50} =11.59=12[/tex]
Hope this helps
Melissa owns a catering company . For lunch and dinner parties , she serves appetizers before each meal. The number of appetizers Melissa serves is directly proportional to the number of guests at the party. For lunch parties, she serves 3 appetizers per guest. For dinner parties, she serves 5 appetizers per guest. When serving 22 guests, what is the difference of the number of appetizers she serves for dinner and the number of appetizers she serves for lunch?
Answer:
44
Step-by-step explanation:
Lunch = 3 appetizers per guest
If there are 22 guests: 22 × 3 = 66 appetizers served
Dinner = 5 appetizers per guest
If there are 22 guests: 22 × 5 = 110 appetizers served
Difference = total dinner appetizers - total lunch appetizers
= 110 - 66
= 44
Find the exact volume of the radius is 7 inches and the height is 18 inches.
Answer: 882pi square inches
Step-by-step explanation:
What transformation did Tory perform?
Answer:
She translated each vertex of Figure 1 seven units to the right.
Step-by-step explanation:
A person places $81200 in an investment account earning an annual rate of 3. 6%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , 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 13 years
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$81200\\ r=rate\to 3.6\%\to \frac{3.6}{100}\dotfill &0.036\\ t=years\dotfill &13 \end{cases} \\\\\\ A=81200e^{0.036\cdot 13}\implies A=81200e^{0.468}\implies A\approx 129659.95[/tex]
Ron started the day with a score of +12.
He lost 4 points, gained 3 points, and then
lost 15 points. What was his score then?
+ 12 - 4 + 3 - 15
= 12 + 3 - 4 - 15
= 15 - 19
= - 4
Answer:
He has -4 points. if I'm not mistaken
Step-by-step explanation:
12 - 4 + 3 - 15 = -4
I apologize if I am incorrect
The question is below:
QUESTION -> {WHICH EQUATION DESCRIBES A LINEAR FUNCTION }.
?ANSWER :
B .
y =(1 — 6 ) ×
or.
C .
y = (2) ×
HOPE IT HELPS .
THANK ME LATER THANKS.
I need jelpsssssssss
Answer:
sum up all the sizes and multiple it by 2
Hi can I help me, I’ll reward Branliest!!! :)))
Answer: Below
Step-by-step explanation:
We find the area of the base. Since this is a rectangular pyramid, the base would be the rectangle on the bottom:
3 * 2 = 6
Next we find the height. If we draw the height, we can see that it makes a right triangle with the base and sides, making the Pythagorean theorem valid.
Sqrt(3.4^2 - 1^2) = 3.3
The equation for volume in a pyramid is (base*height)/3.
(3.3 * 6)/3 = 6.6
Our answers are:
1) 6
2) 3.3
3) 6.6
a group of 6 adults pay a total of $105 for for their admission to a museum. Each person has a coupon for $5 off the regular admission price. they want to know what the regular admission price is for one adult. Write an equation if a equals the regular admission price
Answer:
$22.50
Step-by-step explanation:
105/6= 17.5 each
17.5+5= 22.5
A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 1 yard long, and the height of the equilateral triangle is 0.9 yards. The pyramid's slant height is 1 yard. What is its surface area?
Answer:
base: 1/4 * 12^2 * √3 = 36√3
each face: 1/2 * 12 * 8 = 48
Now finish it off
Step-by-step explanations:
Josiaanswer this is it josia the question
Answer:
6? i am soooo confused
Step-by-step explanation:
HELP WILL MARK BRAINIEST!!!
For each of the following two quantities in Problems 1-4, which has the greater
magnitude?
2.-14 feet and 23 feet
Answer:
23 feet
Step-by-step explanation:
The absolute value of -14 is fourteen.
The absolute value of 23 is twenty-three
23>14
helppppppppp please
thanks
Answer:
Here is the answer
Step-by-step explanation:
4^4/(6^6)
2. The center of a circle is at (4,-5). The radius of the circle is 10 units. Write the equation of the
circle.
Answer:
Step-by-step explanation:
: Customers arrive at a shopping mart randomly at a rate of 7 per hour.
a) Find the probability that during any 90 minutes’ period, the number of customers arriving at the shopping mart is exactly 8
b) If a customer arrives at 11. 30 am, find the probability that the next patient arrives before
11. 45 am
Using the Poisson distribution, it is found that the probabilities are given by:
a) 0.1009 = 10.09%.
b) 0.8262 = 82.62%.
What is the Poisson distribution?In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successese = 2.71828 is the Euler number[tex]\mu[/tex] is the mean in the given interval.Item a:
The mean is of 7 customers for 60 minutes, hence, for 90 minutes = 1.5 x 60 minutes, the mean is given by:
[tex]\mu = 1.5 \times 7 = 10.5[/tex]
The probability of exactly 8 customers is of P(X = 8), hence:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 8) = \frac{e^{-10.5}10.5^{8}}{(8)!} = 0.1009[/tex]
Item b:
Probability of at least one patient in 15 minutes, hence:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
For 15 minutes, the mean is given by:
[tex]\mu = 0.25 \times 7 = 1.75[/tex]
Then:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 8) = \frac{e^{-1.75}1.75^{0}}{(0)!} = 0.1738[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1738 = 0.8262[/tex]
More can be learned about the Poisson distribution at https://brainly.com/question/13971530
4. 10% of 210 is?
0.21
2100
2.10
21
PLEASE HELP!! 15 points asap!
Answer:
10% of 210 is 21
Step-by-step explanation:
The 1 in 10% is much help. Move the decimal point one place to the right.
I know this is not much, but I hope this helps :)
If the probability of a basketball player making a shot is 5/12, what is the probability of him not making a shot
Answer:
5 percent of 12 is 0.6
Step-by-step explanation:
Answer:
7/12
Step-by-step explanation:
total = 12/12
p(shot) = 5/12
p(not making shot) = 7/12
because
12/12 - 5/12 = 7/12
Hope this helped!
4. What is the proper way of naming the line at the right? A. ab B. ba C. AB D. AB
Answer:
C is the answers for the question
Step-by-step explanation:
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Show that the triangles are similar and write a similarity statement.
pls help...
Step-by-step explanation:
BC / EC = 21/14 = 3/2.
AC / CD = 27/18 = 3/2.
Angle ACB and ECD are congruent because they are vertical angles.
This means that triangle ABC is similar to triangle DEC by SAS.
A building has a height of 16 1/4 meters. Each floor in the building has a height of 3 1/4meters.
How many floors are in the building?
Answer:
5
Step-by-step explanation:
16 1/4 divided 3 1/4
MATH
NATION
Question 1 of 10
NEXT QUESTION
Suppose h(t) = -0.2t2 + 2t models the height, in feet, of a ball that is kicked into the air where t is
given as time, in seconds.
After how many seconds does the ball reach its maximum?
Step-by-step explanation:
the point of extreme value we get a the zero dilution of the first derivative of the function.
h(t) = -0.2t² + 2t
h'(t) = -0.4t + 2
so,
-0.4t + 2 = 0
2 = 0.4t
t = 2/0.4 = 5 seconds
so, after 5 seconds the ball reaches its maximum height.
FYI : that height is then h(5).
-0.2×5² + 2×5 = -5 + 10 = 5 ft
so, all in all, a very weak kick in very low gravity ...
A cube has a lateral area of 676 square feet. what is the side length of the cube? 4.3 feet 6.5 feet 10.6 feet 13 feet
The side length of the cube is 13 feet.
We have given that
Lateral area of a cube = 676 square feet
We have to determine the side length of the cube
So here we use the formula of the lateral surface area of the cube.
What is the formula for Lateral surface area?[tex]L=4side^2[/tex]
L=676,and side =a
[tex]676=4a^2[/tex]
divide both side by 4
[tex]\frac{676}{4}=a^2[/tex]
[tex]169=a^2[/tex]
Taking square root on both side of equation we will get
[tex]13=a[/tex]
Therefore, Side length of the cube is 13 feet.
To learn more about the lateral area visit:
https://brainly.com/question/1297098
Answer:
13
Step-by-step explanation:
10 Cecelia took 40 minutes to complete a journey. She travelled half the distance at a speed of 100 km/h and the other half at 60 km/h. How far was her journey?
40 min = 40/60 hr = 2/3 hr
Distance = x km
t=distance/speed
x/200+x/120=2/3
multiply by 6oo
3x+5x=400
8x=400
x = 400/8=50km
The journey is for 50km
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