Answer:
[tex] x = \dfrac{1}{6} + \dfrac{i\sqrt{47}}{6} [/tex] or [tex] x = \dfrac{1}{6} - \dfrac{i\sqrt{47}}{6} [/tex]
Step-by-step explanation:
Use the quadratic formula.
[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex] x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4(3)(4)}}{2(3)} [/tex]
[tex] x = \dfrac{1 \pm \sqrt{1 - 48}}{6} [/tex]
[tex] x = \dfrac{1 \pm \sqrt{-47}}{6} [/tex]
[tex] x = \dfrac{1}{6} \pm \dfrac{i\sqrt{47}}{6} [/tex]
[tex] x = \dfrac{1}{6} + \dfrac{i\sqrt{47}}{6} [/tex] or [tex] x = \dfrac{1}{6} - \dfrac{i\sqrt{47}}{6} [/tex]
Suppose that you earned a bachelor's degree and now you're teaching high school. The school district offers teachers the opportunity to take a year off to earn a master's degreee. To achieve this goal, you deposit $ 5000 at the end of each year in an annuity that pays 6.5 % compounded annually.
a. After 5 years, you will have approximately= $
(Do not round until the final answer. Then round to the nearest dollar as needed.)
b. The interest is approximately= $
(Use the answer from part a to find this answer.)
Answer: a. After 5 years, you will have approximately= $ 6,850.43 .
b. The interest is approximately =$ 1850.43
Step-by-step explanation:
Given: Principal amount (P) = $5000
Rate of interest (r)= 6.5% = 0.065
n= 1 (compounded annually)
a) Time (t) = 5 years
Formula for accumulated amount :
[tex]A=P(1+\dfrac rn)^{nt}[/tex]
Then,
[tex]A=5000(1+0.065)^5\\\\=5000(1.065)^5\\\\=5000(1.37008666342)\\\\\approx \$\ 6850.43[/tex]
Hence, After 5 years, you will have approximately $ 6,850.43 .
b) Compound interest = A-P
= $ 6,850.43 - $ 5,000
= $ 1850.43
Hence, The interest is approximately $ 1850.43.
PLEASE HELP AHHHH IS URGENT.
Which atom or ion is the largest?
ОА. К
ОВ. к*
ОС. Са
гO D.
Са2+
O E. Li
Answer:
o.a k
Step-by-step explanation:
A jeweler has 160.5 centimeters of gold chain. He will use half of the chain to make a necklace. He will make 5 bracelets with the remaining chain. If each bracelet is the same length, what will be the length of each bracelet in centimeters?
9514 1404 393
Answer:
16.05 cm
Step-by-step explanation:
Each bracelet will be 1/5 of 1/2 of the chain, so is
(1/5)(1/2) = 1/10
of the original length of the chain.
1/10 × 160.5 cm = 16.05 cm . . . length of each bracelet
You have prizes to reveal! Go to your game board. *
Steven already knew 28 appetizer recipes before starting culinary school, and he will learn 1
new appetizer recipe during each week of school. After how many weeks of culinary school
will Steven know a total of 34 appetizer recipes?
Answer:
6
Step-by-step explanation:
10<2x+2<16
Lol yea I’m dumb and I’m honors what abt it imma disappointment
Answer:
4 and 7
Step-by-step explanation:
Answer:
4<x<7
Step-by-step explanation:
10<2x+2<16 First, we can subtract 2 on all three sides.
-2 -2 -2
8<2x<14 Divide by 2 on both sides.
/2 /2 /2
4<x<7
Hope this helped you out!!! Be more positive about yourself...I promise it will help...and if you ever need help, just ask! Have a wonderful day :3
PLEASEEE HELPP
Alexis has $345 in her savings account and will deposit $15 each week. Alexis will not withdraw any money from her savings account. After how many weeks will she have $1,035 ?
Answer:
46 weeks
Step-by-step explanation:
1. 1305-345= 690
2.690/15=46
Answer:
46 weeks
Step-by-step explanation:
15*46
=690
690+345
=1035
Find the value of x.
Answer:
x=55
Step-by-step explanation:
you have to add the three angles to get 180 first. 180- 21-34=125.
then take the missing angle inside the triangle (125) and subtract by 180.
180-125=55
Answer:
x = 55
Step-by-step explanation:
We know that triangles add up to 180 degrees, so let's start with that. Keep in mind that "y" will be the third degree of the triangle.
21+34+y = 180
55+y = 180
y = 125
Okay, now we know that the third degree is 125. Also, the line that 125 and x are on is a straight line. All straight lines are 180 degrees. Subtract 180 and 125 to get your answer.
180-125 = 55
So your final answer will be x=55, hope this helped!
Question 1
Sione just landed a great job as an engineer where he will make $55,000 a year. The
company he will work for guarantees a 3% pay increase each year so it's employees
salaries keep up with inflation. At the end of the 1* year Slone will have made $55,000
dollars.
1. What is the recursive function that will represent this situation?
a. m(t) = m(t - 1) + 0.03, m(1) = 55000
b. m(t) = m(t-1). 0.03, m(1) - 55000
c. m(t) = m(t-1) + 1.03, m(1) - 55000
d. m(t) = m(t-1). 1.03, m(1) = 55000
Answer:
Option (d)
Step-by-step explanation:
If the current salary of Sione is represented by the function m(t - 1),
Next year his salary m(t) gets hike of 3%.
So, the next year salary of Sione will be represented by,
m(t) = m(t - 1) + 3% of m(t - 1)
= m(t - 1) + 0.03 × m(t - 1)
= m(t - 1)(1 + 0.03)
= 1.03m(t - 1)
Since, at the end of year 1 his salary was $55000,
Recursive function will be,
m(t) = 1.03m(t - 1) = 55000
Therefore, Option (d) will be the answer.
The rectangle below has a perimeter of 120 inches. (2x is the length and X is width) What is the measure of the width, x, of the rectangle?
Answer:
x = 20
Step-by-step explanation:
2x + 2x + x + x = 120
6x = 120
x = 20
what is the slope of the line in the graph?
Answer:
1
Step-by-step explanation:
The slope of a line equals rise/run. That is the distance and height between each point. The horizontal and vertical distances are both 1, so 1/1= 1
If you bought a stock last year for a price of $63, and it has risen 17% since then, how much is the stock worth now, to the nearest cent?
X - 6 < -4 please help
Answer:
x<2
Step-by-step explanation:
POSSIBL
Mariko needs to solve the equation below for D. Which correctly describes the step he should take?
M=
= p
Subtract V from both sides.
Divide both sides by V.
Multiply both sides by V.
O Divide both sides by D.
1
2
which step should I take
Answer:
Divide both sides by V
Step-by-step explanation:
The equation is not well written.
Mariko needs to solve the equation below for D. Here is the equation:
M = DV
For Mariko to get D, he needs to make D the subject of the formula by dividing both sides of the equation by the coefficient of D i.e V as shown;
Divide both sides by V
M/V = DV/V
V at the denominator will cancel out the V at the numerator to have:
M/V = D
Rearrange
D = M/V
Therefore, the statement which correctly describes the step he should take is:
Divide both sides by V. Option B is correct.
help me answer please
Answer:
x=21
Step-by-step explanation:
supplementary angles add up to 180°
7x-3+2x-6=180
collect like terms
9x-9=180
add 9 to both sides
9x=189
divide both sides by 9
x=21
A rectangle has length 8x 104 mm and width 4 x 104 mm. The rectangle's length is how many times
its width?
The rectangle's length is times its width.
(Type a whole number.)
Answer:
Step-by-step explanation:
It would be 2.
8/4=2
10^(4-4)=10^0 or 1
2*1=2
Please please help will give brainliest!!
Answer:
c = 13
Step-by-step explanation:
In a rectangle the diagonals bisect each other, thus
FG = FI , substitute values
7c - 67 = c + 11 ( subtract c from both sides )
6c - 67 = 11 ( add 67 to both sides )
6c = 78 ( divide both sides by 6 )
c = 13
Answer:
c = 13
Step-by-step explanation:
We know FG and FI are equal to each other because F is the cross section of a rectangle.
FG = 7c - 67
FI = c + 11
FG = FI
7c - 67 = c + 11 Add 67 to each side so it will cancel on the left
7c = c + 11 + 67
7c = c + 78 Subtract c from each side so it cancels on the right
7c - c = 78
6c = 78 Divide each side by 6
6c/6 = 78/6
c = 78/6
c = 13
Complete the following statement.
Find the quotient. 7200/9 =
Answer:
800
Step-by-step explanation:
9 goes into 72 eight times, nine goes into 0 zero times
The complete statement is as follows:
The quotient of, 7200/9 = 800.
Quotient is the result which we get by dividing the one number by the other.
Where, the number which is getting divided is known as 'dividend' and the number which divides the dividend is known as 'divisor'.
So,
Quotient = Dividend ÷ Divisor.
Or,
[tex]\text{Quotient} = \frac{\text{Dividend}}{\text{Divisor}}[/tex]
In 7200÷9, 7200 is dividend and 9 is divisor. We have to find the quotient.
Applying the division on 7200 by 9.
Since, 9 is very less than 72. Take the first 2 digits.
72÷9 = 8
There is no remainder.
Now, take three digits:
720÷9 = 80
Still no remainder is here.
Move to the last digit (0) and apply division.
7200÷9 = 800
No remainder is there.
That means the quotient of, 7200 divided by 9 is 800.
Hence, the quotient of 7200/9 = 800.
Learn more about quotient here:
https://brainly.com/question/16134410
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what is x
8(3x+6)=168
Answer:
x=-5
Step-by-step explanation:
24x+48=168
24x-120
x=5
8(15+6)=168
120+48=168
168=168
Answer: 5
Step-by-step explanation: 8 (3x+6)= 168/ 8 (3 x5+6)= 168; so 8(3x5+6)=168
Hello guys i am in secondary school y8 and need help on my school work due tomorrow please could you help me out.
hii!! i used an online calculator so i could help you quicker, but the area is 60, and the height is 12.
hope this helps!! <3
what is the lenght of the diagonal of the rectangle
Answer:
P = 2l + 2w
Step-by-step explanation:
Explain if it has the same answer: 6(9) = 6(5) + 6(4)
Answer:
54 does equal 54. So this problem is true
Step-by-step explanation:
6*9=54
6*5=30
6*4=24
30+24=54
54 does equal 54
Answer:
it has the same answer because 6(5)+6(4)=6(9) so they are the same
Step-by-step explanation:
copy and paste that ;)
The engineers designing the All Aboard Railroad between Boca Raton and Jupiter decide to create parallel tracks through this portion of the railway. To illustrate their plans to the county commission, they use a coordinate plane. The southbound track will have an equation of 2x + 5y = 15. What is the equation of the parallel northbound track that runs through the point (4, – 2)?
Answer:
there are no signs between the x and y and constant
it could be
2x+5y=15
2x+5y=-15
-2x+5y=15
2x-5y=15
for ax+by=c, the equation of a line paralell to that is
ax+by=d where a=a, b=b, and c and d are constants
(for this answer, I'm going to use 2x+5y=15)
given 2x+5y=15, the equation of a line paralell to that is 2x+5y=d
to find d, subsitute the point (4,-2), basically put 4 in for x and -2 for y to get the constant
2x+5y=d
2(4)+5(-2)=d
8-10=d
-2=d
the eqaution is 2x+5y=-2 (Only if the original equation is 2x+5y=-15
pls mark me brainlest
Answer:
2x+ 5y= -2
Step-by-step explanation:
1Write an equation in slope intercept form for a line that contains the
points (-3.2) and (6, 1).
Answer:
y=-[tex]\frac{1}{9}[/tex]x+[tex]\frac{5}{3}[/tex]
Step-by-step explanation:
Help with math. please
Answer:
B. 1 9/10 (19/10)
Step-by-step explanation:
3 4/5 is equal to 19/5
We would need to divide 19/5 by 2
Make 2 a fraction. 2/1
Flip the number: 1/2
Multiply 19/5 by 1/2
19/10
Simplify.
1 9/10
Hope I helped :)
Please consider Brainliest :)
you are renting an apartment. the living room is 412 square feet. the kitchen is 337 square feet. the bedroom is 265 square feet. how much square feet are in these three rooms
Answer: 1,014
Step-by-step explanation: 412+265=677 677+337=1,014
help me find the slope!
Answer:
b
Step-by-step explanation:
i think
How does light travel so you can see in the dark
Answer:
Step-by-step explanation:
Light travels as a wave. But unlike sound waves or water waves, it does not need any matter or material to carry its energy along. This means that light can travel through a vacuum—a completely airless space. ... It speeds through the vacuum of space at 186,400 miles (300,000 km) per second.
simplify by combining like terms. -2y + 14 - 9y + 5
Answer:
-11y+19
Step-by-step explanation:
-2y+(-9y)+14+5=-11y+19
Answer:
-11y+19
Step-by-step explanation:
-2y-9y+14+5
-11y+14+5
-11y+19
Hope this helps!
The product of 8 and x is greater than 50.
Answer:
X would have to be any number greater than 6.25
Step-by-step explanation:
8*7=56, 8*8=64, and so on.