The zoo downtown has 9 times as many monkeys as elephants. They have 60 animals all together. How many elephants are there?
Answer:
6
Step-by-step explanation:
e = number of elephants
9 times as many monkeys as elephants
m = 9e
------------------------
60 animals all together
e + m = 60
e + 9e = 60
Combine like terms
10e = 60
Divide both sides by 10
e = 6
Answer: There’s technically no answer to this question, unless you specify that the zoo only has monkeys and elephants. If the zoo has more than two types of animal then the ratio doesn’t help because there are unknown variables.
However, if we knew that the zoo only has monkeys and elephants, then:
E = number of elephants
M = number of monkeys
M=9E
M + E = 60
9E+E= 60
10E = 60
E = 6
There are 6 elephants (and 54 monkeys).
Suppose you want to start saving for retirement. You decide to continuously invest $5000 of your income each year in a risk-free investment with a 7% yearly interest rate compounded continuously. If y| is the value of the investment, and t| is in years. dy/dt =| Your answer should be interms of y|. You start investing at t = 0| so y(0) = 0. y(t) =| What is the size of your investment after 40 years. y(40) =|
Answer:
The size of the investment after 40 years is of $74,872.
Step-by-step explanation:
Continuous compounding:
The amount of money, in continuous compounding, after t years, is given by:
[tex]y(t) = y(0)(1+r)^t[/tex]
In which y(0) is the initial investment and r is the interest rate, as a decimal.
You decide to continuously invest $5000 of your income each year in a risk-free investment with a 7% yearly interest rate compounded continuously.
This means that [tex]y(0) = 5000, r = 0.07[/tex]. So
[tex]y(t) = y(0)(1+r)^t[/tex]
[tex]y(t) = 5000(1+0.07)^t[/tex]
[tex]y(t) = 5000(1.07)^t[/tex]
What is the size of your investment after 40 years?
This is y(40), that is, y when t = 40. So
[tex]y(t) = 5000(1.07)^t[/tex]
[tex]y(40) = 5000(1.07)^{40}[/tex]
[tex]y(40) = 74872[/tex]
The size of the investment after 40 years is of $74,872.
Which point lies on the graph of y = -x-5?
O A (-5,0)
OB. (4.-9)
OC (-2,-3)
OD. (3,-2)
Answer:
A, B and C are on the graph
Step-by-step explanation:
Just plug the values into y = -x - 5 and see if the y are equal
A ( -5, 0)
0 = 5 - 5
0 = 0
B (4, -9)
-9 = -4 - 5
-9 = -9
C (-2, -3)
-3 = 2 - 5
-3 = -3
D (3. -2)
-2 = -3 - 5
-2 = -8
which M.A.D (mean absolute deviation) would show the most variability
a- .5
b- 1.5
c- 1
d- 2
If you role a die 60 times, how many times will i expect a 5 to roll? (based on theoretical probability)
Answer:
6
Step-by-step explanation:
Convert 40% as a fraction and multiply the results by 25
40% = 40/100 = 2/5
Multiply the results by 25 :–2/5×25 = 10....
(✯ᴗ✯)Hence , the answer is 10...(◍•ᴗ•◍)A triangle has sides of lengths 8, 15, and 17. Is it a right triangle? Explain.
Answer:
Step-by-step explanation:
8^2 + 15^2 = ?
64 + 225 = 17^2
289 = 289
[tex]\sqrt{289} = \sqrt{289\\} \\ 17 = 17[/tex]
Rewrite each fraction with a denominator of 24 2/3 and 5/8
Answer:
2/3 = 16/24
5/8 = 15/24
Step-by-step explanation:
2/3= 16/24
5/8= 15/24
because if you multiply across [tex]\frac{2}{3}[/tex] by [tex]\frac{8}{8}[/tex] equal [tex]\frac{16}{24}[/tex]
and if you multiply across [tex]\frac{5}{8}[/tex] by [tex]\frac{3}{3}[/tex] equal [tex]\frac{14}{24}[/tex]
If f(1)=6f(1)=6 and f(n)=nf(n-1)-4f(n)=nf(n−1)−4 then find the value of f(3)f(3).
Answer:
49
Step-by-step explanation:
Answer:6144
Step-by-step explanation:
If f(1)=6f(1)=6 and f(n)=4f(n-1)f(n)=4f(n−1) then find the value of f(6)f(6).
f(1)=
f(1)=
\,\,6
6
f(\color{darkgreen}{2})=
f(2)=
\,\,4f(\color{darkgreen}{2}-1)
4f(2−1)
=
=
\,\,4f(1)
4f(1)
=
=
\,\,4(6)
4(6)
Substitute f(1)=6
f(2)=
f(2)=
\,\,24
24
f(\color{darkgreen}{3})=
f(3)=
\,\,4f(\color{darkgreen}{3}-1)
4f(3−1)
=
=
\,\,4f(2)
4f(2)
=
=
\,\,4(24)
4(24)
Substitute f(2)=24
f(3)=
f(3)=
\,\,96
96
f(\color{darkgreen}{4})=
f(4)=
\,\,4f(\color{darkgreen}{4}-1)
4f(4−1)
=
=
\,\,4f(3)
4f(3)
=
=
\,\,4(96)
4(96)
Substitute f(3)=96
f(4)=
f(4)=
\,\,384
384
f(\color{darkgreen}{5})=
f(5)=
\,\,4f(\color{darkgreen}{5}-1)
4f(5−1)
=
=
\,\,4f(4)
4f(4)
=
=
\,\,4(384)
4(384)
Substitute f(4)=384
f(5)=
f(5)=
\,\,1536
1536
f(\color{darkgreen}{6})=
f(6)=
\,\,4f(\color{darkgreen}{6}-1)
4f(6−1)
=
=
\,\,4f(5)
4f(5)
=
=
\,\,4(1536)
4(1536)
Substitute f(5)=1536
f(6)=
f(6)=
\,\,6144
6144
\text{Geometric Sequence:}
Geometric Sequence:
Common ratio of 4
6,24,96,384,1536,6144, ...
6,24,96,384,1536,6144,...
\text{Final Answer:}
Final Answer:
6144
Which one
18ft
26ft
70ft
96ft
Answer:
c. 70ft²
Step-by-step explanation:
Area of wall needed to be painted
= (12×8) - (2×2×2) - (3×6)
= 96 - 8 - 18
= 70ft²
Find the diameter and radius of the circle given the circumference.
C = 81.3 cm
d =
r=
Word Bank:
32.18
25.88
16.09 20.32
12.94 40.65
C=2 pie r
81.3/2pie=r
R=12.94
D=2r
D= 25.88
Martha bought a 0.45-kilogram bottle of spice. She uses 60 grams a week. Is one bottle of spice enough for 9 weeks? Explain.
Answer: No.
Step-by-step explanation:
The reason why it is not enough is that 0.45 kilograms is 450 grams, and when you divided 450 by 9, you get 50, which is 10 less than 60. Therefore, 1 bottle of spice is not enough for 9 weeks.
Answer:
No
Step-by-step explanation:
Half of a kilogram or 0.5 is 500 grams.
The total grams for nine weeks (60 x 9) is 540
Since Martha bought a 0.45 kilogram bottle, which is less than a half, she doesn't have enough of the spice.
Martha would need a 0.54 kilogram bottle to have the right amount.
12 * 4 ÷ 6x(-8)
pls answer this question
Answer:
-64
Step-by-step explanation:
it's -64 the calculator works with the problem
Find the Surface Area of this Prism?
Answer:
114ft
Step-by-step explanation:
3 times 3=9
9times 2=18
8 times 3=24
24 times 2=48
8 times 3 = 24
24 times 2 =48
48+48+18=114
Solve for x. Round to the nearest tenth, if necessary.
P.
х
50°
Q
R
4.2
Answer:
5.0 =x
Step-by-step explanation:
Since this is a right triangle
tan theta = opp side/ adjacent side
tan 50 = x / 4.2
4.2 tan 50 = x
5.005365089 =x
Rounding to the nearest tent
5.0 =x
Helpp plzz will mark brainleast
Answer:
-2.6, -2.16, 0.58, 0.8, 5.1
Step-by-step explanation:
Answer:
D) -2.6, -2.15,0.58,0.8, 5.1
Step-by-step explanation:
Select 3 numbers to get the sum of 30, the numbers are 1, 3, 5, 7, 9, 11, 13, 15
i think there is a trick so the 3 nbs are 9+11+13=33
How's that we need 30
if we flip 9 we get 6
so the answer would be 6+11+13=30
Based on these boxplots, which of the following is true ? (5 points) The median rating for website B is greater than for website A. The interquartile range for website A is greater than for website B. The ranges for the two websites are the same, The median ratings for the two websites are the same .
Answer:
A
Step-by-step explanation:
because it's right and you'll get it right so it is a
P(C)= 0.02. What is the complement of P(C)?
Answer:
P'(C) = 0.98
Step-by-step explanation:
Given that,
P(C) = 0.02 (The probability of getting C)
We need to find the complement of P(C) i.e. P'(C).
We know that,
P(C)+P'(C)=1
P'(C) = 1-P(C)
= 1-0.02
= 0.98
So, the complement of P(C) is equal to 0.98.
(x−4)2+y2=64
(
x
−
4
)
2
+
y
2
=
64
Which point is on the circle?
Answer:
(12, 0)
Step-by-step explanation:
The centre of the circle is at (4, 0) and the radius = √64 = 8.
So one point on the circle is at ((4 + 8), 0) = (12,0).
Help please
DONT SEND ANY LINK
Answer:
This picture represents soldiers raising the flag after the battle of Iwo Jima.
Step-by-step explanation:
This famous photograph is titled Raising the Flag on Iwo Jima. It shows six soldiers raising the flag after the Battle of Iwo Jima on Mount Suribachi during the final parts of the war in the Pacific.
A bag of marbles contains 4 red marbles and 4 green marbles. Each red marble was labeled with a different number, 1 through 4, and each
green marble was labeled with a different number, 1 through 4.
Which set represents the event, A, that Karen took a marble that was either green or had an even number?
If anyone can help, it’d be appreciated! I’m so confused
A snail can travel 390 inches in 5 hours.
How far does it travel in 1 hour?
Answer:
78 inches
Step-by-step explanation:
5 hours = 390 inches
1 hour = 390 / 5
1 hour = 78 inches
Therefore the snail travels 78 inches in 1 hour.
Hope this helps!
Determine whether the following system is consistent or inconsistent and if it is independent or dependent.
Y=2x-3 and 2x-2y=2
9514 1404 393
Answer:
consistent, independent
Step-by-step explanation:
Systems of equations are most easily classified these ways if the equations are in the same form. If we solve the second equation for y, we have ...
y = x - 1
The x-coefficients of this and the first equation are different, so the system is consistent and independent.
__
A system is independent if the equations describe different lines.
A system is inconsistent if the equations describe parallel lines.
Here, the different lines are not parallel, so the system is independent and consistent.
SOMEONE PLEASE HELP!!!!
Answer:
D. 9
Step-by-step explanation:
When you add 1 + 4 + 5 + 5 + 5 + 6 + 9 + 10 + 10 + 11 + 12 + 12 + 15 + 15 + 15 = 135. Which is all of the numbers given to you, and since mean is when you add all of the numbers together, and than divide it by the amount of numbers there, you will take that 135 and divide it by 15. 135 / 15 = 9. Which gets you to finally getting an answer of 9. so D. 9 is correct.
Answer:
C. 8.5
Step-by-step explanation:
I don’t understand this so can anyone help with this!?
What is the initial value of the function represented by this graph?
O 1
O 5
O 6
O 7
Use angle addition formula to find the expression for cos(a+b). Use the same formula to
find cos(a+a).
Answer:
we have
Cos (a+b)=Cos aCosb-SinaSinb
for
Cos (a+a)=Cos aCosa-SinaSina=Cos²a-Sin²a
is a required answer.
Find missing side
help quick pls
Answer:
7m
Step-by-step explanation:
18/6 = 3
24/8 = 3
21/x = 3
21/3 = 7
x = 7