Answer:
not a function
Step-by-step explanation:
if x values repeat its not a function
Sam invests a sum of money in a retirement account with a fixed annual interest rate of 7%
compounded quarterly. After 13 years, the balance reaches $19,280.02. What was the amount of
the initial investment? ROUND YOUR ANSWER TO THE NEAREST DOLLAR (do NOT put a dollar
sign $ in your answer)
Answer:
The initial amount of investment was $7,822
Step-by-step explanation:
The formula for compound interest, including principal sum is:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex], where
A is the future value of the investment/loan, including interestP is the principal investment amount r is the annual interest rate (decimal)n is the number of times that interest is compounded per unit tt is the time the money is invested or borrowed forLet us use this rule to solve the question
∵ Sam invests a sum of money in a retirement account with a fixed
annual interest rate of 7% compounded quarterly
∴ r = 7% = [tex]\frac{7}{100}[/tex] = 0.07
∴ n = 4 ⇒ compounded quarterly
∵ After 13 years, the balance reaches $19,280.02
∴ A = 19,280.02
∴ t = 13
Substitute these values in the rule above to find P
∵ [tex]19,280.02=P(1+\frac{0.07}{4})^{4(13)}[/tex]
∴ [tex]19,280.02=P(1.0175)^{52}[/tex]
→ Divide both sides by [tex](1.0175)^{52}[/tex]
∴ 7,821.99888 = P
→ Round it to the nearest dollar
∴ 7,822 = P
∴ P = $7,822
∴ The initial amount of investment was $7,822.
Which is the graph of the linear function that is represented by the equation y = one-half x minus 2?
On a coordinate plane, a line goes through points (negative 1, 0) and (0, 2).
On a coordinate plane, a line goes through points (negative 2, 0) and (0, 1).
On a coordinate plane, a line goes through points (0, negative 2) and (4, 0).
On a coordinate plane, a line goes through points (0, negative 2) and (1, 0).
Pls help me It's overdue by about 20 minutes now ;w;
Our slope is 1/2x and our intercept is -2
Our line starts at (0, -2).
Using the slope, the second point is at (0 + 1, 2 + -2) = (1, 0)
The last answer choice is correct.
Answer:
d
Step-by-step explanation:
14=−2c−6−3c what is the value of c?
Answer:
C=-4 (I'm not sure why my negative symbols are not showing up properly, the answer is C equals a negative four.)
Step-by-step explanation:
14=-2c-6-3c
14=-5c-6
5c+14=-6
5c=-20
c=-4
Help me pleasee............
Answer: 30
Step-by-step explanation:
100-70=30
What is an equation of the line that is parallel to the one shown and passes through (6, −5)?
A. y=−23x−1
B. y=32x−4
C. y=23x+1
D. y=−32x+4
Answer:
D is the answer
The equation in slope-intercept form, of the line that passes through (6, -5) and is parallel to the line given is: D. [tex]\mathbf{y = -\frac{3}{2} x + 4}[/tex]
Recall:
Slope of two lines that are parallel to each other will always be the same value.Slope = rise/runFrom the graph shown, the slope (m) of the line is [tex]-\frac{3}{2}[/tex].
Thus, the line that passes through (6, -5) and is parallel to the line in the graph will have the same slope of [tex]-\frac{3}{2}[/tex].
Write the equation in point-slope form by substituting (a, b) = (6, -5) and m = -3/2 into y - b = m(x - a).
Thus:[tex]y - (-5) = -\frac{3}{2} (x - 6)\\\\y +5 = -\frac{3}{2} (x - 6)[/tex]
Rewrite in point-slope form as y = mx + b
[tex]y +5 = -\frac{3}{2} (x - 6)\\\\y + 5 = -\frac{3}{2} x + 9\\\\y = -\frac{3}{2} x + 9 - 5\\\\\mathbf{y = -\frac{3}{2} x + 4}[/tex]
Therefore, the equation in slope-intercept form, of the line that passes through (6, -5) and is parallel to the line given is: D. [tex]\mathbf{y = -\frac{3}{2} x + 4}[/tex]Learn more here:
https://brainly.com/question/16732089
Pls answer its 2 in the morning I’m tryna get sleeppp
4
Mis the midpoint of CD. Given
the coordinates of one endpoint
C(10,-5) and the midpoint
M(4,0), find the coordinates of
the other endpoint D of CD.
a) (7.)
b) (-2)
c) (-2,5)
d) (7,5)
e) (1,1)
Answer:
(-2,5)
Step-by-step explanation:
use formula: m= ([tex]\frac{x^{1}+x^{2} }{2} , \frac{y^{1}+y^{2} }{2}[/tex])
midpoint(m) equals (4,0) and C is (10,-5)
C represents [tex](x^{1} ,y^{1})[/tex] and other endpoint D represents [tex](x^{2}, y^{2} )[/tex] so:
(4,0) = [tex](\frac{10+x^{2} }{2} , \frac{-5+y^{2} }{2} )[/tex]
4 = [tex]\frac{10+x^{2} }{2}[/tex]
[tex]4*2 = (\frac{10+x^{2} }{2} )2[/tex] Get rid of 2 by multiplying both sides by 2
8 = [tex]10 + x^{2}[/tex] Subtract both sides by 10
[tex]x^{2} = -2[/tex] x coordinate of D = -2
To find y coordinate of D:
0 = [tex]\frac{-5+y^{2} }{2}[/tex] Get rid of 2 by multiply both sides by 2
0 = [tex]-5 + y^{2}[/tex] Add both sides by 5
[tex]y^{2} = 5[/tex] y coordinate of D = 5
So if x-coordinate of D= -2 and y-coordinate of D=5, the coordinates for D is (-2,5)
Mira has breakfast at a restaurant. She leaves a 20% tip of $1.80.
What is the price of Mira's breakfast,before tip?
Answer: $9.00
.......................................
3/5x = -15 one or two step equations
Answer:
x=1/25
Step-by-step explanation:
Answer: -25
Step-by-step explanation:
You would have to divide both sides by 3/5 which is the same as multiplying by 5/3.
x = -15*5/3
x = -75/3 = -25
Which expression is the completely factored form of x^6– 64y^3?
Answer:
[tex](x^2-4y)(x^4+4x^2y+16y^2)[/tex]
Step-by-step explanation:
Factoring
We need to recall the following polynomial identity:
[tex](a^3-b^3)(a-b)(a^2+ab+b^2)[/tex]
The given expression is:
[tex]x^6- 64y^3[/tex]
To factor the above expression, we need to find a and b, knowing a^3 and b^3. a is the cubic root of a^3, and b is the cubic root of b^3:
[tex]a=\sqrt[3]{x^6}=x^2[/tex]
[tex]b=\sqrt[3]{64y^3}=4y[/tex]
Now we apply the identity:
[tex]x^6– 64y^3=(x^2-4y)[(x^2)^2+(x^2)*(4y)+(4y)^2][/tex]
Operating:
[tex]x^6– 64y^3=(x^2-4y)[x^4+4x^2y+16y^2][/tex]
The remaining factors cannot be factored in anymore. Thus the completely factored form is:
[tex]\boxed{(x^2-4y)(x^4+4x^2y+16y^2)}[/tex]
How many hours will you have to work each weekend day to have a 33 hour work week? Assume you don't work during the weekdays.
Y-z=m(x-k) solve for x
Answer:
x = y/m - z/m +k
Step-by-step explanation:
Answer the following above:
Answer:
-3.1
Step-by-step explanation:
Just divide -15.5 by 5.
f(x)=2x+1,g(x)=X2-2x-4
Help it’s homework!!!!
Answer:
(3x - 3)(x + 2)
Step-by-step explanation:
3x^2 + 3x - 6
(3x^2 + 6x)(-3x - 6)
3x(x + 2) -3(x + 2)
(3x - 3)(x + 2)
During a promotional weekend, a state fair gives a free admission to every 179th person that enters the fair. On Saturday, there were 8,633 people attending the fair. On Sunday, there were 7,400 people attending the fair. How many people received a free admission over the two days?
Answer:
89
Step-by-step explanation:
Given that,
During a promotional weekend, a state fair gives a free admission to every 179th person that enters the fair.
No of people attending the fair on Saturday is 8,633 amd No of people attending the fair on Sunday is 7,400.
We need to find the no of people that received a free admission over the two days.
Dividing 8,633 by 179 gives 48 as quotient and 41 as remainder. It means on Saturday 48 people entered for free.
Dividing 7,400 by 179 gives 41 as quotient and 61 as remainder. It means on Sunday 41 people entered for free.
Total no of people,
T = 48 + 41
T = 89
Hence, there are 89 people for free entries.
1
108°
2
4
5
7
6
8
Find the measure of angle 6.
Answer:
6=72
Step-by-step explanation:
if 1 had the number 108 2 would be 72 because both have to equal 180 also say 3 is right under 1 also on the same line it would be also 72 and 4 also on the same line would be 72 .
5 on a different line would be 108 and 6 on the same line as number 5 would be 72 also 7 would be 108 and 8 would be 82
8 would be 72 not 82
Please help!!!! I need to pass this class!!
Answer:
x is approximately 69.39 degrees.
Step-by-step explanation:
To find x in this triangle, we can use the sin rule:
[tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}[/tex]
The corresponding angle for each length is the one that lies directly opposite it. E.g. if 3.5 was our length 'a', then 55 degrees would be our angle A.
So let's take 3.5 and 55degrees as our length and Angle A, and 4 and x degrees as our length and angle B as we are trying to solve for x.
This would give us the following equation:
[tex]\frac{3.5}{sin(55)} =\frac{4}{sin(x)} \\[/tex]
Since we are solving for an angle, it will be easier to rearrange the equation if we have it as the numerator, so we can flip the fractions to make it easier. It will still be equal as we are looking for the ratio.
[tex]\frac{sin(55)}{3.5} =\frac{sin(x)}{4} \\[/tex]
From here let's isolate the sin(x) by multiplying by 4 and solving the values we have so far:
[tex]\frac{4 sin(55)}{3.5} =sin(x)\\\frac{3.2766}{3.5} =sin(x)\\0.936=sin(x)[/tex]
Now the final step is to use inverse sin to cancel the sin so we just have x:
[tex]sin^{-1} 0.936=x\\x=69.39[/tex]
x is approximately 69.39 degrees.
Hope this helped!
A cupcake baker is baking and selling cupcakes to make money
His equation which shows profit (y) for selling cupcakes at price (x) in dollars
The equation is y= -200(x-3)² + 450
questions :
1, What profit would the baker make if he sold cupcakes for $5?
2, What price would maximize his profits? ( if negative it is a loss)
3, What would the maximum profit be?
Answer:
uhh precious why u stalkin me????
Step-by-step explanation:
point) Arrange the four numbers shown in order from least to greatest. 6.7% 0.67 6.7 x 10-3 6/9
Answer:
I'm pretty sure the answer is: 6.7 x 10^-3, 6.7%, 6/9, 0.67.
Step-by-step explanation:
Convert everything into decimal form.
6.7 x 10^-3 = 0.0067
6.7% = 0.067
6/9 = 0.66... (repeating decimal)
0.67 = 0.67 (already a decimal)
Once you have converted your numbers into decimals then you can compare them from least - greatest.
which figures show that M is a midpoint? select all that apply.
Step-by-step explanation:
a D&C show that m is the midpoint
The required figures that show the mid-points are (c) and (d).
A midpoint is a point on the line whose distance from both ends of the line is equal.
Here,
Figures are shown where in figure (A) only point M is shown which does not describe itself. In figure (B) M is located so far from B and there is no point on the other side of M. In figure (C) and (D) Point M is located between two certain points with equal measures.
Thus, the required figures that show the mid-points are (c) and (d).
Learn more about midpoints here:
https://brainly.com/question/28224145
#SPJ2
At 3 years old, Javier was 36.5 inches tall. By age 13, he was 1.8 times as tall as he was at age 3.
How tall was Javier at age 13?
Enter the correct answer in the box.
65.7 inches tall, or 5'4
f(x)=(x+1)(x+3)(x−4 the standard form of F(x)
Answer:
f(x)=x^3-13x-12
Step-by-step explanation:
Shelley's pet food store sold one customer 5 peanut butter biscuits for $3. She sold another customer 7 beef treats for $4.20. Write a proportion that compares the sales of these two items, and find the cross products. The cross products are both equal to .
Answer:
The proportional equation is [tex]\frac{5}{3}[/tex] = [tex]\frac{7}{4.20}[/tex]
Cross product are both equal to 21.
Step-by-step explanation:
5 peanut butter biscuits for $3
7 beef treats for $4.20
So, proportional equation is
[tex]\frac{5}{3}[/tex] = [tex]\frac{7}{4.20}[/tex]
Cross multiply
21=21
Answer:
21
Step-by-step explanation:
Source: Trust me bro
Here are three different rules:
number of tiles = position x 1 + 1
number of tiles = position x 3 + 1
number of tiles = position x 5 + 1
How are these pattern rules the same?
How are these pattern rules different?
Answer:
they all add one
and...
the position is multiplied by different numbers
I Need help ASAP!!!!!
Evaluate the expression 3+ [5(2-3) - 6]
Answer:
-8
Step-by-step explanation:
PLEASE HELP ASAP WILL GIVE BRAINLIEST!!) The function f(x) = 2x + 4 is shifted 3 units to the right to create g(x). What is g(x)?
Hello! I need help with my math homework! I need it ASAP.
6x - 3 = -18 + x
Answer:
x = -3
Step-by-step explanation:
6x - 3 = -18 + x
Subtract x from each side
6x-x - 3 = -18 + x-x
5x -3 = -18
Add 3 to each side
5x-3+3 = -18+3
5x = -15
Divide each side by 5
5x/5 = -15/5
x = -3
I dont quite understand how to do this
Answer:
10
Step-by-step explanation:
substitute -3 in for x
f(-3)=(-3)²+1=
9+1=10
(You can ignore the g(x) part - it has nothing to do with this question.)
The √28 is between which two whole numbers?
Answer:
between 5 and 6
Step-by-step explanation:
Choose 2 perfect squares either side of 28, that is
25 < 28 < 36, then
[tex]\sqrt{25}[/tex] < [tex]\sqrt{28}[/tex] < [tex]\sqrt{36}[/tex] , thus
5 < [tex]\sqrt{28}[/tex] < 6
