Answer:
4020
Step-by-step explanation:
I'm such a smart man
An experiment involves studying the composition of genders of a set of triplets. What is the probability that there are 2 boys and a girl in the set?
Answer:
shoot man couldnt tell ya
Find the present value of an annuity due that pays $4000 at the beginning of each quarter for the next 7 years. Assume that money is worth 6.2%, compounded quarterly. If $90,000 is invested in an annuity that earns 5.4%, compounded quarterly, what payments will it provide at the end of each quarter for the next 7 1/2 years?
Answer:
Step-by-step explanation:
From the first question:
We are to find PV of the annuity.
Using the formula:
Present value of Annuity = Annuity Amount × Present Value Annuity Factor i.e. PVAF (n , r)
Where , Annuity Amount = $4,000
n = No. of periods = 7 years × 4 quarters per year = 28 periods but since the first payment is at beginning of the quarter, Then, n = 27 when considered for PVAF
r = 6.2% / 4 quarters = 1.55%,
PVAF(n0,r) when first payment is at beginning of n i.e. n0 = 1 + { [1-(1+r)^ -n0 ]/r }
= 1 + { [1-(1+0.0155)^ {-27}]/0.0155 }
= 1 + [ (1 - 0.66015 ) ] / 0.0155]
= 1 + 21.926
= 22.926
PVAF(28,1.55%) = 22.926
Thus , Present Value of Annuity = $4,000 × 22.926 = $91704.00
2. Present value of Annuity due = Annuity Amount × Present Value Annuity Factor i.e. PVAF (n , r)
Present Value of Annuity = $90,000
n = No. of periods = 7.5 years × 4 quarters per year = 30 periods
r = 5.4% / 4 quarters = 1.35%,
PVAF(n,r) = [1-(1+r)^-n]/r
PVAF(n,r) = [1-(1+0.0135)^ -30]/0.0135
PVAF(30,1.35%) = (1 - 0.6688)/0.0135
PVAF(30,1.35%) = 0.3312/0.0135
PVAF(30,1.35%) = 24.53
Hence ;
$90,000 = Annuity Amount × 24.53
Annuity amount = $90,000/24.53 = $3,668.48
How do you solve this: 2x(3-a)=a(2-b) to find b?
Answer:
b=-2(3x-xa-a)/a
Step-by-step explanation:
2x(3-a)=a(2-b)
6x-2xa=2a-ab
b=-2(3x-xa-a)/a
You can simplified to top because im a little lazy, sorry
Solve for the values of x and y
SOLVING LEFT-SIDED RIGHT TRIANGLE
Answer:
The value of the missing length of the side x=26 units
Step-by-step explanation:
The Pythagorean theorem states
[tex]\:a^2\:+\:b^2\:=\:x^2[/tex]
We will use the Pythagorean Theorem to solve for the missing side length.
[tex]24^2\:+\:10^2\:=\:x^2[/tex]
switch both sides
[tex]x^2=24^2+10^2[/tex]
[tex]x^2=576+100[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=\sqrt{676},\:x=-\sqrt{676}[/tex]
[tex]x=26,\:x=-26[/tex]
As x can not be negative.
Therefore, the value of the missing length of the side x=26 units
SOLVING LEFT-SIDED RIGHT TRIANGLE
Answer:
The value of the missing length of the side y=15 units
Step-by-step explanation:
Considering the right-sided right triangle
The Pythagorean theorem states
[tex]a^2\:+\:b^2\:=\:c2[/tex]
We will use the Pythagorean Theorem to solve for the missing side length.
[tex]15^2\:+\:y^2\:=\:\left(15\sqrt{2}\right)^2[/tex]
[tex]225+y^2=450[/tex] ∵ [tex]\left(15\sqrt{2}\right)^2=450[/tex]
[tex]y^2=225[/tex]
[tex]y=\sqrt{225},\:y=-\sqrt{225}[/tex]
[tex]y=15,\:y=-15[/tex]
As y can not be negative.
Therefore, the value of the missing length of the side y=15 units
It’s math can you help with number 3 please?
Answer:
25
Step-by-step explanation:
16+9
Answer:
The correct should be 25.
Step-by-step explanation:
If this is incorrect let me know and I will correct it.
Change 10/25 to a decimal
Answer:
0.4
Step-by-step explanation:
→ Convert fraction to a denominator of 100
10 / 25 ⇔ 40 / 100
Answer:
0.4
Step-by-step explanation:
An easy way to do this is to get the fraction over 100
So, multiply the fraction by 4 (because 25*4=100)
then you get 40/100 which is 0.4 in decimal form
∠A and ∠B\angle B∠B are supplementary angles. If m∠A=(8x−27)∘\angle A=(8x-27)^{\circ}∠A=(8x−27)∘ and m∠B=(4x+3)∘\angle B=(4x+3)^{\circ}∠B=(4x+3)∘, then find the measure of ∠A\angle A∠A.
Answer:< B = 15°
Step-by-step explanation:
If m\angle A=(x+16)^{\circ}∠A=(x+16) and m\angle B=(3x-14)^{\circ}∠B=(3x−14), then find the measure of \angle A∠A.
can someone help me with this
Answer:
31°
Step-by-step explanation:
If ∠dab=55° and ∠cab=24° and ∠cab+∠dac=∠dab then all you need to do is subtract 55° and 24° to get 31°
answer in percent 20/80 = x/100
3(2e + 5) + 8(1 - e) = 1
ILL MARK BRAINLIST HELP !!!
Answer:
11 (positive)
Step-by-step explanation:
Answer:
e=11
Step-by-step explanation:
3(2e+5)+8(1-e)=1
6e+15+8-8e=1
-2e+23=1
-2e=-22
e=11
If it takes 4 years for an animal population to double, how many years will it take until the population triples?
Answer:
6 years
Step-by-step explanation:
i used a proportional approach
2 (the double)/ 4 years (the time it takes to double)
then compared it to
3(the triple)/ x amount of years
(like this)
[tex]\frac{2}{4} \ \frac{3}{x}[/tex]
then cross multipled
4 times 3= 12
then divided the 12 by the remaining 2 above the 4
Plz help me with this
Answer:
0
Step-by-step explanation:
Inverse it To verify:
0/1=0+9=9
The formula for the volume of the sphere = 4(pi) 13. Which of the following is the closest approximation to the volume when r, the
radius, is 11 inches?
Answer:
5572.5 or 5573 inches
Step-by-step explanation:
First of all, the formula is 4/3(pi)r^3
So 4/3(3.14)11^3
So then 5572.5 or 5573 inches
A ball of radius 17 has a round hole of radius 7 drilled through its center. Find the volume of the resulting solid.
Answer:
19,133.067Step-by-step explanation:
Volume of the ball (spherical in nature) Vb = 4/3πrb³
Volume of the hole Vh = 4/3πrh³
rb is the radius of the ball
rh is the radius of the hole
If a ball of radius 17 has a round hole of radius 7 drilled through its center, the volume of the resulting solid will be expressed as:
V = Vb - Vh
V = 4/3πrb³ - 4/3πrh³
factor out the like terms;
V = 4/3π(rb³-rh³)
Given
rb = 17
rh = 7
V = 4/3π(17³-7³)
V = 4/3π(4913-343)
V = 4/3π(4570)
V = (4π*4570)/3
V = 57,399.2/3
V = 19,133.067
Hence the volume of the resulting solid is 19,133.067
Hii Answer this please :)))((((
Answer:
C: 4cm, 8cm, 8cm
Step-by-step explanation:
The isosceles triangles have two sides that are the same.
hope this helped
bye
Answer:
C: 4cm, 8cm, 8cm
Step-by-step explanation:
bc i know it i think this the answer
If the x-values of the table shown above are doubled and the y-values stay the same, it represents the function g(x). Construct the equation for g(x)
Answer:
The maximum value of the table t(x) has a greater maximum value that the graph g(x)
Step-by-step explanation:
Hope this helps :P
Which number has the least value?
1. 2 3/4
2. 5/2
3. 2.62
4. 245%
plesase solve this
Prove that a line parallel to one side of a triangle divides the other two sides proportionally. Be sure to create and name the appropriate geometric figures. (10 points)
pencil, paper, ruler
Draw:-[tex]\begin{align*}\triangle ABC\end{align*}.[/tex] Label the vertices.
[tex]\begin{align*}\overline{XY}\end{align*} so that \begin{align*}X\end{align*} is on \begin{align*}\overline{AB}\end{align*} and \begin{align*}Y\end{align*} is on \begin{align*}\overline{BC}\end{align*}. \begin{align*}X\end{align*} and \begin{align*}Y\end{align*}[/tex] can be anywhere on these sides.
Is [tex]\begin{align*}\triangle XBY \sim \triangle ABC\end{align*}? Why or why not? Measure \begin{align*}AX, XB, BY,\end{align*} and \begin{align*}YC\end{align*}. Then set up the ratios \begin{align*}\frac{AX}{XB}\end{align*} and \begin{align*}\frac{YC}{YB}\end{align*}.[/tex] Are they equal?Draw:-
a second triangle,[tex] \begin{align*}\triangle DEF\end{align*}.[/tex] Label the vertices
Draw:-
[tex]\begin{align*}\overline{XY}\end{align*} so that \begin{align*}X\end{align*} is on \begin{align*}\overline{DE}\end{align*} and \begin{align*}Y\end{align*} is on \begin{align*}\overline{EF}\end{align*} AND \begin{align*}\overline{XY} \ || \ \overline{DF}\end{align*}.
Is \begin{align*}\triangle XEY \sim \triangle DEF\end{align*}? Why or why not? Measure \begin{align*}DX, XE, EY,\end{align*} and \begin{align*}YF\end{align*}. Then set up the ratios \begin{align*}\frac{DX}{XE}\end{align*} and \begin{align*}\frac{FY}{YE}\end{align*}.[/tex] Are they equal?
From this investigation, it is clear that if the line segments are parallel, then [tex]\begin{align*}\overline{XY}\end{align*}[/tex] divides the sides proportionally.If 4/5 – 3/10 = x + 11/2, find the value of
X.
Answer:
x = 85/60 or 17/12
Step-by-step explanation:
4/5 - 3/10 = x + 11/12
=> 8/10 - 3/10 = x + 11/12
=> 5/10 = x - 11/12
=> x - 11/12 = 5/10
=> x = 5/10 + 11/12
=> x = 5 * 6 / 10 * 6 + 11 * 5 / 12 * 5
=> x = 30 / 60 + 55/60
=> x= 85/60
If my answer helped, kindly mark me as the brainleist !!
Thank You!!
Answer:
maybe -5
Step-by-step explanation:
4/5-3/10=x+11/2
1/2-11/2=x
-10=2x
x=-5
answer if you have the ability to
Answer:
A is the answer.
Which expression represents 4 less than twice a number, n?
Answer:
x = 2n - 4
Step-by-step explanation:
hope this helped have a great day
4.(03.01)
Is the following relation a function? (1 point)
A: Yes
B: No
Answer:
A
Step-by-step explanation:
X can only have 1 input buy Y can have many
A commercial apple grower estimates from past records that if 50 trees are planted per acre, then each tree will yield an average of 70 pounds of apples per season. If, for each additional tree planted per acre (up to 30), the average yield is reduced by 1 pound, how many trees should be planted per acre to obtain the maximum yield per acre? What is the maximum yield?
Answer:
i) 60 trees
ii) 3600 apples
Step-by-step explanation:
50 trees per acre
Total pounds produced per acre ( ideally ) = 70 * 50 = 3500 pounds
Assumption :
lets assume the additional tree = X
Therefore the number of trees planted per acre = ( 50 + x ) where x ≤ 30
calculate average yield per tree = ( 70 - x )
Total yield per acre = number of trees * average yield per tree
= ( 50 + x ) * ( 70 - x )
Y(x) = 3500 + 20x - x^2
i) Number of trees that should be planted per acre to obtain maximum yield per acre
y'(x) = 20 - 2x = 0 hence X ( number of additional trees ) = 20 / 2 = 10
Number of trees that should be planted per acre = 50 + 10 = 60 trees
ii) Calculate maximum yield
where ; X = 10
number of trees planted per acre = ( 50 + x ) = 50 + 10 = 60
hence maximum yield = ( 50 + x ) * ( 70 - x ) = ( 60 ) * ( 60 ) = 3600 apples
What is the median 5,7,9,10,16,17,20
Answer:
10
Step-by-step explanation:
For an odd number of values, the median is the middle value when you write the values in ascending order.
5, 7, 9, 10, 16, 17, 20
The median is 10.
A quadrilateral has no pairs of parallel sides, what two shapes could it be?
Answer:
Kite
Step-by-step explanation:
Def of kite has no parallel sides
Answer:
Kite and TrapeziumStep-by-step explanation:
Each of them do not have any parallel lines or sides
Solve the equation-17x-16=-135
Answer:
x=7
Step-by-step explanation:
Add 16 to both sides
-17x-16+16=-135+16
Simplify
-17x=-119
Divide both sides by -17
-17x/-17=-119/-17
Simplify
x=7
Hope this helped! :)
A goat is tired to a pole at the center of a square of length of side 20m. If the rope is 10m long. Calculate the (I) area of the square that can't be grazed by the goat (ii) fraction of grazed portion to the whole area
Answer:
percentage = 78.54%
Step-by-step explanation:
The area of a square of side length x is:
[tex]A_s=x^2[/tex]
The area of a circle of radius r is:
[tex]A_c=\pi r^2[/tex]
The goat is tied to a pole at the center of a square of a side length of x=20 cm.
The area of the square is:
[tex]A_s=20^2[/tex]
[tex]A_s=400~m^2[/tex]
The rope is 10 m long. The goat is able to graze an area of:
[tex]A_c=\pi 10^2[/tex]
[tex]A_c=100\pi~m^2[/tex]
(i)
Since the diameter of the circle (20 m) is equal to the length of the square, the area of the circle is contained in the square and the area of the square not grazed by the goat is:
[tex]A = A_s-A_c=400~m^2-100\pi~m^2[/tex]
[tex]A=100(4-\pi)~m^2[/tex]
Calculating:
[tex]A = 85.84~m^2[/tex]
(ii)
The percentage can be calculated as:
[tex]\displaystyle \frac{A_c}{A_s}*100=\frac{100\pi}{400}*100=25\pi[/tex]
Calculating:
percentage = 78.54%
How much does a 6-ounce apple weigh in grams?
I'll give brainiest
Answer:
169
Step-by-step explanation:
The original price of a bottle
of dish soap is $2. How much
will Sasha PAY if she buys it
during the sale when it is 50%
off?
Answer:
$1
Step-by-step explanation:
i hope i read it right
Answer:
1
Step-by-step explanation:
cuz half of 2 is 1
Jordan's net income for the year ended December 31, Year 2 was $200,000.
Answer:
good for her / him but uh whats the question