Answer:
Step-by-step explanation: example:
Problem: You deposit some money into a bank account paying 2% simple interest per 6 months. You received $15 in interest after 9 months. How much the deposit (principal) was?
Result: The principal was $500.
STEP 1: Convert interest rate of 2% per 6 months into rate per year.
STEP 2: Convert 9 months
STEP 3: Find principal by using the formula , where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.
In this example I = $15, i = 4% and t = 0.75 years, so
Earth is the third planet from the Sun, with an average distance of
93,000,000 miles. It takes light about 8 minutes to travel from the Sun
to Earth.
Pluto, a dwarf planet, has an average distance of 3.7 X10° miles
from the Sun. How many times farther from the Sun is Pluto than
Earth? How long does it take light to reach Pluto?
Answer:
The ratio of the distance of Pluto and the earth to the Sun is 40.
Time taken by light to travel from Sun to Pluto is 5.3 hours.
Step-by-step explanation:
Distance between Earth an Sun = 93,000,000 miles
Time from Sun to Earth = 8 minutes
Distance beteen Pluto and Sun = 3.7 x 10^9 miles
The ratio of the distance between Pluto and Sun to the Earth and Sun is
[tex]\frac{3.7\times 10^9}{93000000}\\\\=39.8 =40[/tex]
Now let the time taken by the light to move from Sun to Pluto is t.
[tex]\frac{93000000}{8}=\frac{3.7\times 10^9}{t}\\\\t =318.28 minutes = 5.3 hours[/tex]
simplify the following
(2p+1)(2p-1)
Simplify (12^0)(12^6). Write your answer using an exponent. Explain how you found your answer.
Step-by-step explanation:
(12^0)(12^6)
1 ×12⁶. (a⁰=1, a is a number)
=12⁶
Write twelve thousand twelve hundred and twelve in numbers
13,212
Step-by-step explanation:
12000+1200+12
This is such a mind bending question
Goodluck
Which of the following functions is graphed below?
Answer:
Answer B - y=[x]+7
Step-by-step explanation:
A normal [x] function has a slope of one, a y intercept of 0, and all the other basic values.
7 changes this.
Looking at the graph, we see that the y intercept is now 7.
How can this be? x was added to by 7.
If it was subtracted, it would be -7, not postive 7.
So the answer is y=[x]+7
Hope this helps!
Answer:
A
Step-by-step explanation:
when we accept X to 0, y should be 7 and when we accept X to 2 or 4 or 6, y should be in order to 9, 11 and 13.
Solve the system of equations.
3x + 4y + z = 3
4x + 3y + 32 - 4
5x+67+72-5
Answer:
First, we write the augmented matrix.
⎡
⎢
⎣
1
−
1
1
2
3
−
1
3
−
2
−
9
|
8
−
2
9
⎤
⎥
⎦
[1−1123−13−2−9 | 8−29]
Next, we perform row operations to obtain row-echelon form.
−
2
R
1
+
R
2
=
R
2
→
⎡
⎢
⎣
1
−
1
1
0
5
−
3
3
−
2
−
9
|
8
−
18
9
⎤
⎥
⎦
−
3
R
1
+
R
3
=
R
3
→
⎡
⎢
⎣
1
−
1
1
0
5
−
3
0
1
−
12
|
8
−
18
−
15
⎤
⎥
⎦
−2R1+R2=R2→[1−1105−33−2−9|8−189]−3R1+R3=R3→[1−1105−301−12|8−18−15]
The easiest way to obtain a 1 in row 2 of column 1 is to interchange
\displaystyle {R}_{2}
R 2
and
\displaystyle {R}_{3}
R 3
.
Interchange
R
2
and
R
3
→
⎡
⎢
⎣
1
−
1
1
8
0
1
−
12
−
15
0
5
−
3
−
18
⎤
⎥
⎦
InterchangeR2andR3→[1−11801−12−1505−3−18]
Then
−
5
R
2
+
R
3
=
R
3
→
⎡
⎢
⎣
1
−
1
1
0
1
−
12
0
0
57
|
8
−
15
57
⎤
⎥
⎦
−
1
57
R
3
=
R
3
→
⎡
⎢
⎣
1
−
1
1
0
1
−
12
0
0
1
|
8
−
15
1
⎤
⎥
⎦
−5R2+R3=R3→[1−1101−120057|8−1557]−157R3=R3→[1−1101−12001|8−151]
The last matrix represents the equivalent system.
x
−
y
+
z
=
8
y
−
12
z
=
−
15
z
=
1
x−y+z=8 y−12z=−15 z=1
Using back-substitution, we obtain the solution as
\displaystyle \left(4,-3,1\right)
(4,−3,1)
Explain how to use a graph of the function f(c) to find f(3).
I need help please!!
Answer:
10 or in coordinate form(0,10)
Step-by-step explanation:
The y intercept is where the line crosses the y axis
The graph crosses the y axis at 10
(0,10)
if you can bake 14 cupcakes in one hour how long will it take to bake 126 cupcakes?
Answer:
9 hours
Step-by-step explanation:
126 dived by 14 is 9, so it will take 9 hours to bake 126 cupcakes.
Answer: It will take maybe 9 hours
hope this helps :)
Step-by-step explanation:
A rectangle I'd formed by placing two identical squares side by side. The area of the rectangle is two centimeters squared. What is the perimeter of one square.
Answer:
4cm
Step-by-step explanation:
first find the length of one side of the square
let x represent that
making 2x length of the rectangle
area of a rectangle=length x width
2cm²=2x×x
2cm²=2x²
2cm²/2=2x²/2
1cm²=x²
1√cm²=√x²
1cm=x
perimeter of a square=4xside
4x1cm
4cm
What's the perimeter of this shape?
Answer:
32m
Step-by-step explanation:
7+5+5+4+4+1+3+3=32
a que taxa mensal devo empregar um capital de r$ 20.000 para que no fim de 10 meses renda 18.000 de juros
Answer:
Following are the solution to the given question:
Step-by-step explanation:
[tex]\to 18000=2000 \times i \times 10 \\\\\to 18000=200000 \times i\\\\\to i=\frac{18000}{200000}\\\\\to i= \frac{18}{200}\\\\ \to i= \frac{9}{100}\\\\ \to 0.09\\\\[/tex]
Calculating the percentage:
[tex]\to 0.09\times 100=9\%[/tex]
Help I’m to lazy to do it
Math question too tough for me, for every math question, i have to ask
Answer:
I'm pretty sure that the answer is 55.
Sorry if I'm wrong.
What is 10000 - 82583 + 81627 X 2
Answer:
90,671
Step-by-step explanation:
10,000- 82,583+ (81,627 x 2)
Answer:
-235,837
Step-by-step explanation:
Given :
10000-82583+81627×2
Now,
10000-82583+163254
10000-245837
-235,837
Answer will be -235,837
A manufacturer of cell phone screens is concerned because 12 percent of the screens manufactured using a previous process were rejected at the final inspection and could not be sold. A new process is introduced that is intended to reduce the proportion of rejected screens. After the process has been in place for several months a random sample of 100 screens is selected and inspected. Of the 100 screens 6 are rejected. What are the appropriate hypotheses to investigate whether the new process reduces the population proportion of screens that will be rejected?
A. H0:p=0.12Ha:p<0.12 A
B. H0:p=0.12Ha:p>0.12 B
C. H0:p=0.06Ha:p<0.06 C
D. H0:pˆ=0.06Ha:pˆ>0.06 D
E. H0:pˆ=0.12Ha:pˆ<0.12 E
Answer: A.
[tex]H_0:p=0.12\\\\H_a:p<0.12[/tex]
Step-by-step explanation:
Null hypothesis[tex](H_0)[/tex] : A statement describing population parameters as per the objective of the study. It usually takes "≤,≥,=" signs.
Alternative hypothesis [tex](H_a)[/tex]: A statement describing population parameters as per the objective of the study. It usually takes ">, <, ≠" signs.
Let p be the proportion of screens that will be rejected.
12 percent of the screens manufactured using a previous process were rejected at the final inspection.
(i.e. p= 0.12)
Objective of the study = whether the new process reduces the population proportion of screens that will be rejected
i.e. p< 0.12
So, the appropriate hypotheses to investigate whether the new process reduces the population proportion of screens that will be rejected:
[tex]H_0:p=0.12\\\\H_a:p<0.12[/tex]
I need to know the answer pleaseeee
Answer:
4:49
Step-by-step explanation:
It twice the difference of a number and gig add to 4 the result is 22 more than four time the number. Find the number.
PLEASE HELP!!!!!!!!!!!!!!!!!
will mark brainlist
Answer:
I have given the answer in the picture!
Step-by-step explanation:
Hey mate my answer is the correct one!
Answers the question in the picture
Answer:
see explanation
Step-by-step explanation:
- 6 would represent a $6 debt
- 6 would represent 6 feet below sea level
y(0.5 + 4)
PLEASE HELP!!
Answer: 8
Step-by-step explanation:
Answer:
4.5y
Step-by-step explanation:
0.5y + 4y
4.5y
Help me on this pls!!!!!!
Step-by-step explanation:
bla bla bla bla123222222333333
Which fraction equals the ratio of rise to run between the points (0, 0) and (6, 7)? A. B. C. D.
Answer:
7 / 6
Step-by-step explanation:
Given the points:
points (0, 0) and (6, 7)
Point 1 : x1 = 0 ; y1 = 0
Point 2 : x2 = 6 ; y2 = 7
The rise = y2 - y1 = 7 - 0 = 7
The run = x2 - x1 = 6 - 0 = 6
Ratio of Rise to Run = Rise / Run = 7 / 6
If a + b = 2 and a - b = -4 what is the value of ab A. 5 B. -5 c.3 D. -3
Answer:
D
Step-by-step explanation:
Given the 2 equations
a + b = 2 → (1)
a - b = - 4 → (2)
Add the equations term by term to eliminate b
2a + 0 = - 2
2a = - 2 ( divide both sides by 2 )
a = - 1
Substitute a = - 1 into (1) and solve for b
- 1 + b = 2 ( add 1 to both sides )
b = 3
Then
ab = - 1 × 3 = - 3 → D
Answer:
option d
Step-by-step explanation:
a+b=2. ,. a-b = -4
a= 2-b
substituting values, we get
(2-b) - b = -4
2 -b -b =-4
2 -2b =-4
-2b = -4-2
2b= 6
b =3
a = 2-3
a= -1
ab = 3×-1
ab = -3
Find the area of the circle.
452.16 ft2
37.68 ft2
1808.64 ft2
113.04 ft2
Answer:
113.04^2
Step-by-step explanation:
radius = diameter / 2
=12/2
=6 ft
area of circle = πr^2
=3.14 * 6^2
=3.14 *36
=113.04 ft^2
Answer:
[tex]{ \boxed{ \tt{ formular : { \tt{area}} = \pi {r}^{2}}}} \\ { \green{radius = \frac{diameter}{2} = \frac{12}{2}}} \\ area = \frac{22}{7} \times { (\frac{12}{2} )}^{2} \\ { \boxed{area = 113.04 \: {ft}^{2} }} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]
A graph of f(x)=acos(bx) is shown, where b is a positive constant. Determine the values of a and b.
Answer:
Option (1)
Step-by-step explanation:
Equation of the given wave function,
f(x) = acos(bx)
Here, a = amplitude of the wave
Period of the wave = [tex]\frac{2\pi }{B}[/tex]
From the graph attached,
Amplitude = [tex]\frac{4-(-4)}{2}[/tex]
= [tex]\frac{4+4}{2}[/tex]
= 4
Period of the wave = π - 0
= π
From the formula of the period,
Period = [tex]\frac{2\pi }{b}[/tex]
[tex]\pi =\frac{2\pi }{b}[/tex]
b = 2
Therefore, a = 4 and b = 2.
Option (1) will be the answer.
Simplify (5np3)3
Question shown as picture
Answer:
[tex]125 {n}^{3} {p}^{9} [/tex]
Please help. I really need to pass this.
Answer:
3.75
Step-by-step explanation:
r²+9²=(6+r) ²
r²+81 = 36+12r + r²
81=36+12r
=> 12r = 45
r = 45/12 = 3.75
find the value of x and y, (3x - 2y, 7) = (11, x + y)
Answer:
Step-by-step explanation:
Given,(3x-2y,7)=(11,x+y)
So,3x-2y=11...............(i)
7=x+y
or,x+y=7................(ii)
Now,Multiplying eqn.(ii) by 2,we get,
2x+2y=14...........(iii)
Adding eqn(i) and eqn(iii),
3x-2y+2x+2y=11+14
or,5x=25
or,x=5
Substituting value of x in eqn(i),
5+y=7
or,y=2
Hence,the values of x and y are 5 and 2 respectively.
Nathan dove −4 feet into a pool. Jenny dove deeper into the same pool. Which could represent the depth that Jenny dove?
A −5 feet
B −3 feet
C 2 feet
D 6 feet
PLEASE HELP ME I NEED AN ANSWER ASAP!! <3
(photo included)
Answer: B.
tan 45=perpendicular/base
1=8/AB
So, AB=8
Since it's a right-angled triangle, BC is a hypotenuse.
BC=√(AC^2+AB^2)
=r√(8^2+*^2)
=8 √2