Answer:
11,904
Step-by-step explanation:
The equation for simple interest is as follows
PV(1+it)
plug in our values and get
9600(1+.08*3)
9600(1+.24)
9600*1.24=11,904
Tom, Jaime and LaDonna are playing hide-and-seek. Tom is hiding 15 yards south of Jaime, and LaDonna is hiding due west of Tom. If Jaime is 25 yards from LaDonna, how far apart are Tom and LaDonna.
Answer:
what are the answer choices
Step-by-step explanation:
Answer:
That's like 20 feet probably
Step-by-step explanation:
Okay so the distance between Tom and Jaime is the height of the triangle (South is directly down) (A=15 yards)
The distance between Tom and Ladonna is the base of the triangle (since Ladonna is west of Tom) (B is unknown)
The hypotenuse is the distance between Jaime and LaDonna (C=25 yards)
1. So 15^2 plus b^2 equals 25^2
2. 225 plus b^2 equals 625
3. Subtract 225 from both sides (b^2=400)
4. Find the square root of both sides.
5. B= 20 yards
solve the matrix and prove that it is equal 0
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
[tex] \tt{ {A}^{T} = \begin{bmatrix} 2 & - 4 \\ 4 & 3 \\ \end{bmatrix}}[/tex][tex] \underline{ \underline { \text{To \: Find}}} : [/tex]
[tex] \sf{ {A}^{2} - 5A+ 22I= 0}[/tex][tex] \underline{ \underline{ \text{Solution}}} : [/tex]
The new matrix obtained from a given matrix by interchanging it's rows and columns is called the transposition of matrix. It is denoted by [tex] \sf{ {A}^{T}} [/tex]. Again , Interchange it's rows and columns in order to find ' A '.
[tex] \tt{A = \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix}}[/tex]
Now , LEFT HAND SIDE ( L.H.S )
[tex] \tt{ {A}^{2} - 5A+ 22I}[/tex]
Here, I refers to identity matrix. A diagonal matrix in which all the elements of leading diagonal are 1 ( unit ) is called unit or identity matrix.
⟼ [tex]\begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} - 5 \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} + 22 \times \begin{bmatrix} 1 & 0 \\ 0 & 1\\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} 2 \times 2 + 4 \times ( - 4)& 2 \times 4 + 4 \times 3 \\ - 4 \times 2 + 3 \times ( - 4) & - 4 \times 4 + 3 \times 3 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20& 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} 4 + ( - 16) & 8 + 12 \\ - 8 + ( - 12) & - 16 + 9 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex] \begin{bmatrix} - 12 & 20\\ - 20& - 7 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} - 22 & 0 \\ 0& - 22 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} - 22 + 22 & 0 + 0 \\ 0 + 0 & - 22 + 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} 0 & 0\\ 0 & 0 \\ \end{bmatrix}[/tex]
⟼ [tex] \sf{0}[/tex]
RIGHT HAND SIDE ( R.H.S ) : 0
L.H.S = R.H.S [ Hence , proved ! ]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
Step-by-step explanation:
\underline{ \underline{ \text{Given}}} :
\begin{gathered} \tt{ {A}^{T} = \begin{bmatrix} 2 & - 4 \\ 4 & 3 \\ \end{bmatrix}}\end{gathered}
\underline{ \underline { \text{To \: Find}}} :
\underline{ \underline{ \text{Solution}}} :
The new matrix obtained from a given matrix by interchanging it's rows and columns is called the transposition of matrix. It is denoted by \sf{ {A}^{T}}
. Again , Interchange it's rows and columns in order to find ' A '.
\begin{gathered} \tt{A = \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix}}\end{gathered}
Now , LEFT HAND SIDE ( L.H.S )
\tt{ {A}^{2} - 5A+ 22I}
Here, I refers to identity matrix. A diagonal matrix in which all the elements of leading diagonal are 1 ( unit ) is called unit or identity matrix.
⟼ \begin{gathered}\begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} - 5 \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} + 22 \times \begin{bmatrix} 1 & 0 \\ 0 & 1\\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} 2 \times 2 + 4 \times ( - 4)& 2 \times 4 + 4 \times 3 \\ - 4 \times 2 + 3 \times ( - 4) & - 4 \times 4 + 3 \times 3 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20& 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} 4 + ( - 16) & 8 + 12 \\ - 8 + ( - 12) & - 16 + 9 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered} \begin{bmatrix} - 12 & 20\\ - 20& - 7 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} - 22 & 0 \\ 0& - 22 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} - 22 + 22 & 0 + 0 \\ 0 + 0 & - 22 + 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} 0 & 0\\ 0 & 0 \\ \end{bmatrix}\end{gathered}
⟼ \sf{0}0
RIGHT HAND SIDE ( R.H.S ) : 0
-16(x - 6) -4
B. x > 8
C. x < -4
D. x < 8
s t u p i d study island :') uωu`
Answer:
i think it is c but i am probably super wrong
Step-by-step explanation:
double 2, then divide b by the result
Answer:
can you give me the rest of the problem so i can solve
Step-by-step explanation:
Prove: segment SD = segment PD
I think the answer is between C and D, which is the right one showing the triangle is ASA??
Answer:
C
Step-by-step explanation:
SD is congruent to PD and both triangles share the same side with each other.
Someone please help me with this I REALLY NEED HELP ILL GIVE U BRAINLY IF U GET IT RIGHT
Answer:
A
Step-by-step explanation:
Sheri sells 10 tickets every two hours
We plug two hours into Tim's equation --> t=5(2)
t=10
So, in two hours, Tim sells 10 tickets
Maryanne is making roast chicken for dinner. It takes 2 1/2 hours to cook. She plans to eat dinner at 6:00pm. At what time should she put the chicken in the oven?
Answer:
3:30
Step-by-step explanation:
Convert to standard form: 3y -17 = 2x
There are some cubes in a bag.
1/6 of the cubes are red.
The rest of the cubes are blue.
Write the ratio of the number of red cubes to the number of blue cubes.
Give
your answer in the form 1:n
I need help, I need to find the value of j, thank you
Step-by-step explanation:
[tex] \sin(x) = \frac{8}{10} \\ x = 53.13[/tex]
[tex] \sin(53.13) = \frac{4}{j} \\ j = \frac{4}{ \sin(53.13) } = \frac{4}{0.8} = 5[/tex]
Which of the following numbers is not between -2.6 and 1.3 on the number line?
0.5
-2.1
1.4
-1.8
Answer:
1.4
Step-by-step explanation:
-2.6---------------1.3
0.5 is between
-2.1 is between
1.4 is not between
-1.8 is between
30 = x + 22
What does x equal to?
Answer:
x = 8
Step-by-step explanation:
30 = x + 22
subtract 22 from both sides
8 = x
for each sequence find the first 4 terms and the tenth term
a) n squared +3
b) 2n squared
Answer:
Step-by-step explanation:
Given that:
a) n³
The first 4 terms are;
let assume n = 1
1³ = 1
if n = 2
2³ = 8
if n= 3
3³ = 27
if n = 4
4³ = 64
So, the sequence is 1, 8, 27, 64
The tenth term of this sequence is: 10³ = 1000
b)
2n²
if the first term is 1
then 2(1)² = 2
if n = 2
2(2)² = 8
if n = 3
2(3)² = 18
if n = 4
2(4)² = 32
So, the sequence is 1, 8, 18, 32
The tenth term will be 2(10)² = 200
An angle measures 160° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
The two angles are 10 degrees and 170 degrees.
Step-by-step explanation:
Supplementary angles add up to 180 degrees.
Let the angle be called "x", and the supplementary angle be called "180-x"
Converting words to math: x-160=180-x
Add x to both sides: 2x-160=180
Simplify: 2x=20
Divide by 2: x=10
Let me know if this helps!
Need Help ASAP
What is the sum of interior angles of a triangle?Degrees
Given ABC, find the value of X.
What is the measure of angle A??
Ms. Orozco's class has 8 boys and 12 girls in the class. What is probability of choosing a girl?
Answer:
12/20 = 3/5
Step-by-step explanation:
hope this helps
Solve the following system of equations for x using elimination
4x + y = 2
x - y = 3
A. -2
B. 1
C. 3.
D.4
Answer:
A
Step-by-step explanation:
A
Answer:
b 1 ksoeoeskmx
Step-by-step explanation:
ksowoxk374
3x + 2y = 26
y = 5x
Slove the system
Answer = 2
Step-by-step explanation:
3x + 2(5x) = 26
3x + 10x = 26
13x = 26
26 ÷ 13 = 2
Solution for 1/3p+8=11
Answer:
p = 9
Step-by-step explanation:
Ykdgkdkdggdkgkdkgdkgdkyf
Answer:
f ^− 1 ( x )=√2(x+7)/2,x≥-7
Step-by-step explanation:
Find the inverse.
HELP PLZZZzzzzzzzzzzzzz
Answer:
D.
Step-by-step explanation:
i hope im right
PLEASE HELP ASAP
Which expression is not equal to 1?
A} sin θ csc θ
B} cos θ sec θ
C] tan θ cot θ
D} sin θ cos θ
Answer:
D} sin theta cos theta
Step-by-step explanation:
Edge
Answer:
D
Step-by-step explanation:
Edge2021
Peter is renting two kinds of rafts for a vacation company. One type seats 3
people and the other seats 5 people. If 53 people are using the vacation
company and he rents 13 rafts, how many of each type of raft does he rent?
Answer:
Peter rents 6 of the rafts seating 3 people, and 7 of the rafts seating 5 people.
Step-by-step explanation:
Let [tex]x[/tex] denote the number of rafts seating 3 people and [tex]y[/tex] the number of rafts seating 5 people. The total number of rafts is 13, so [tex]x+y=13[/tex]. We can also assume that every raft is filled to the brim (it isn't stated explicitly though, but it's probably the intention of the question maker), so [tex]3x+5y=53[/tex].
It's always a good idea to put these equations under each other:
[tex]\left \{ {{x+y = 13} \atop {3x+5y=53}} \right.[/tex]
We can subtract the first equation three times from the second one to obtain [tex](3x+5y)-3(x+y) = 53 - 3(13)\\3x-3x + 5y - 3y = 53 - 39\\2y = 14\\y=\frac{14}{2} = 7[/tex]
Now, substitute this found value for [tex]y[/tex] into [tex]x+y = 13[/tex] and we see that [tex]x=6[/tex]. We are now done: Peter rents 6 of the rafts seating 3 people, and 7 of the rafts seating 5 people.
Anyone want points or brainiest here is a question. What is 4-1!
:D
Answer:
it would 41 amiright?
Answer:
4-1=3
Step-by-step explanation:
hope it helps and have a great day :)
A basketball player made 80 baskets in a season. Of these, 20% were three-point shots. Determine the number of three-point shots the player made?
1. How much is the Nintendo 3DS worth after 2 years? Round your answer to 2
decimal places. Make sure to show your work or explain what you did to get your answer.
2. What does the 200 tell us about the situation?
3. What does the tell us about the situation?
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B 4 Teu :
Tatiana deposits $600 into a bank account that pays 4.75% interest compounded annually. The expression(1 + 0.0475)t represents the number of dollars in the account after t years for every dollar in the original balance. Which of the following is a reasonable interpretation of the expression 600(1 + 0.0475)t in this context?
A: The amount of interest the account earns after 1 year
B:The amount of interest the account earns after 600 years
C:The amount of money in the account after 1 year
D:The amount of money in the account after t years
Answer:
b
Step-by-step explanation:
Answer:
the answer is d just trust me im doing this test right now
Step-by-step explanation:
WILL MARK YOU BRAINLIEST
Answer:
the second : the angles are congruent and the side lengths are proportional
question 5. need asap please and thank you
Answer:
I believe changing -3/4 steepen the slope. For example, y=-1x+2
Which expression is equivalent to (x2 – 2x)(3x2 + 4x - 7)?
Answer:
You have it right, its A
Answer:
Step-by-step explanation:
it A