You want to have $200,000 when you retire in 25 years. If you can earn 3% interest rate compounded continuously, how much would you need to deposit now into the account to reach your retirement goal?
9514 1404 393
Answer:
$94,473.31
Step-by-step explanation:
The multiplier in 25 years is ...
e^(rt) = e^(0.03·25) = e^0.75 ≈ 2.117
To have an account value of $200,000 in 25 years, you need to deposit now ...
$200,000/2.117 = $94,473.31
_____
When this amount is multiplied by 2.117, the result is 200,000.
help me please asap
Answer:
5/6
Step-by-step explanation:
2/
3
: 4/
5
= 2/
3
· 5/
4
= 2 · 5/
3 · 4
= 10/
12
= 2 · 5/
2 · 6
= 5/
6
HELP GIVING BRAINLIEST (NO LINKS) 50 POINTS
Expression A: 2(x + 1)
Expression B: 2x + 2
which statement does not show that these expressions are equivalent
A.subsitiuting any value of x makes the expressions equivalent
B. Both expressions involve addition
C. The expressions name the same number regardless of the value of x
D. 2(x +1) can be rewritten as 2x + 2 using the distributive property
Divide. Give the quotient and remainder. 47 ÷ 5
Answer:
9 Remainder 2 which is also 9.4
Step-by-step explanation:
The closest to a full number would be 9. So do 9*5 to get 45. With a remainder of 2.
Brainliest maybe? I need one more and I level up in rankings.
Answer:
9 remainder 2.
Step-by-step explanation:
5 * 9 = 45
47 - 45 = 2.
The difference between 1/3 of a certain number and 1/4 of the same number is 3. what is that number?
Answer:
36
Step-by-step explanation:
(1/3)x - (1/4)x = 3
multiply by 12 to clear the fraction
4x - 3x = 36
x = 36
A scale drawing for a plot of land is shown below.
In the drawing, 5 cm represents 6 m.
Assuming the backyard is rectangular, find the area of the real backyard.
Answer:
72m
Step-by-step explanation:
since 5cm is 6m, just take 5 and make it 6, so 10cm is 12m and 5cm is 6m
multiply, and you get the answer
Which is greater, 2 to the fifth power or 5 squared?
Answer: 2^5
Step-by-step explanation:
2^5= 2x2x2x2x2=32
5^2=5×5=25
WHAT IS THIS. draw the line x=2 on the grid. please help
Answer The picture shows you where to place your line
Step-by-step explanation:
Directions: Directions: Identify x1, x2, y1, and y2. Solve for the of the line passing through the given points. Identify if the slope is positive, negative, zero, or undefined.
1.(2,1) and (5,3)
2.(-2,1) and (1, -3)
3.(4,1) and (5,1)
4.(7,-1) and (7,5)
5.(-2,1) and (3,6)
Step-by-step explanation:
Number 1
m = (y2 - y1)/(x2 - x1)
m = (3 - 1)/(5 - 2)
m = 2/3 POSITIVE
Number 2
m = (y2 - y1)/(x2 - x1)
m = (-3 - 1)/(1 + 2)
m = -4/3 NEGATIVE
Number 3
m = (y2 - y1)/(x2 - x1)
m = (1 - 1)/(5 - 4)
m = 0/1
m = 0 ZERO
Number 4
m = (y2 - y1)/(x2 - x1)
m = (5 - 1)/(7 - 7)
m = 4/0
m = UNDEFINED
Number 5
m = (y2 - y1)/(x2 - x1)
m = (6 - 1)/(3 + 2)
m = 5/5
m = 1 POSITIVE
I need help I will give 40 points and Brainliest!!!!!!Finding the Slope of a Line from a Table
x
y
What is the slope of the linear function represented in
the table?
O-7
-7
0
17
oi
0
O 7
Answer:
hmmmmm
Step-by-step explanation:
Please explained that answer!
Answer:
f(x)= -1/2x+1
Step-by-step explanation:
The slope is negative because the graph goes up then to the left, making it negative. The slope is also 1 half because the slope is measured by rise over run. It rises once, then goes to the left twice. 1/2. It's also plus 1 because the graph cross the y-intercept at positive 1.
can someone help me please
Answer:
#5) Its line “k”
Well to solve this you need to know what negative slopes are.
They decrease from height from left to right
And also a slope is always calculated like this
rise -> run
Think of it like a bed.
You have to wake up which means you have to rise and then you run to do whatever it is you gotta do.
Rise is going vertical and run is going horizontal.
So for line K you have it because since its negative its -3/1 so technically its -3 rise(basically fall since its negative), 1 run (right).
#6) 1/2 is the slope of line N. Or (c)
Well n is a potsive slope so we can automatically remove a and b.
And we can count like this, it started from the orgin it looks like (but you can use any given point really) and then just follow it, rise 1 and run 2. Rise 2 and run 3 doesn’t work so it has to be 1.2 or (c)
Please help! I will give brainlist
Is the expression a polynomial? If yes, write in standardform, if not state why not
1.
[tex]\frac{2x+3}{x^{2} }[/tex]
2.
[tex]2x+5x^{2} -99[/tex]
3.
[tex](\sqrt{8x^{3}}) +2x^{4}+2+x[/tex]
4.
[tex]15x+4x^{-2}[/tex]
5.
[tex]-3x^{4} +7x+12x^{2}[/tex]
Answer:
Step-by-step explanation:
1) Not a polynomial. Because x² is in the denominator.
2) Yes, it is a polynomial.
Standard form: 5x² + 2x - 99
3) Not a polynomial.
[tex]\sqrt{8x^{3}} = (8x^{3})^{\frac{1}{2}} = 8^{\frac{1}{2}}x^{\frac{3}{2}}[/tex] .
Power of x is a fraction. so , it is not a polynomial.
4) Power of x is (-2). Power of x should not be a negative integer. SO, it is not a polynomial.
5) Yes:
Standard form: -3x⁴ + 12x² + 7x
The graph of the function y = -2x + 4 is shown below.
If the line is translated 2 units up, which equation will best
describe the new line?
Answer:
y= -2x +6
Step-by-step explanation:
help me pls help please???
Answer:
3 – x
Step-by-step explanation:
A number in this case we will as x. And 3 less than x is -
3 – x
x - 3
Hope i helped ya!
In which quadrant(s) do the graphs of y=x^2 and y=3x+10 intersect?
Answer:
Quadrants I and II
Step-by-step explanation:
y = x²
y = 3x + 10
x² = 3x + 10 Substitute x² for y
x² - 3x - 10 = 0 set the equation = 0
(x - 5) (x + 2) Factoring
x - 5 = 0 ; x + 2 = 0
x = 5 or x = -2
Now solving the y
y = x² or y = x²
y = (5)² or y = (-2)²
y = 25 or y = 4
The points of interception is points (5, 25) or (-2, 4)
(5, 25) in Quadrant I ; (-2, 4) in Quadrant II
Find the x
1/2x+3/4=x5/6
Answer:
[tex]x=\frac{9}{4}[/tex]
Step-by-step explanation:
Answer:
[tex]\boxed{\boxed{\sf x=\frac{9}{4} }\:\sf or \:\boxed{x=2.25}}[/tex]
Step-by-step explanation:
[tex]\sf \cfrac{1}{2}\:x+\cfrac{3}{4}=\:x\cfrac{5}{6}[/tex]
Subtract x (5/6) from both sides:
[tex]\longmapsto\sf \cfrac{1}{2}\: x+\cfrac{3}{4} -x\left(\cfrac{5}{6}\right)=0[/tex]
Subtract 3/4 from both sides:
** Anything subtracted from zero gives its negation.**
[tex]\longmapsto\sf -\cfrac{1}{3}\:x=-\cfrac{3}{4}[/tex]
Multiply both sides by -3, reciprocal of - 1/3
[tex]\longmapsto\sf x=-\cfrac{3}{4} (-3)[/tex]
Express - 3/4 (-3) as single fraction:
[tex]\longmapsto\sf x=\cfrac{-3(-3)}{4}[/tex]
Multiply -3 and -3 = 9
[tex]\longmapsto\sf x= \cfrac{9}{4}[/tex]
______________________________________
please the answer and how i should write it
Answer:
86,400,000 bacteria
Step-by-step explanation:
2^5=32, 3^3=27, 10^5=100,000
32*27*100,000
Answer:
There are 86400000 bacteria in the Petri dish.
Step-by-step explanation:
Write in standard form:
[tex]2^{5}[/tex] = 2 x 2 x 2 x 2 x 2 = 32
[tex]3^{3}[/tex] = 3 x 3 x 3 = 27
[tex]10^{5}[/tex] = 10 x 10 x 10 x 10 x 10 = 100000
32 x 27 x 100000
= 86400000
hope this helps and is right!! p.s. i really need brainliest :)
Write the expression as a power and evaluate it. 8*2^7
Answer:
1024
Step-by-step explanation:
The expression can be written as [tex]8 * 2^7[/tex]
What is power?An algebraic expression known as a polynomial requires that all of its exponents be whole numbers. Any polynomial must have variable exponents that are non-negative integers. Although a polynomial contains variables and constants, we are unable to divide a polynomial by a variable.
Example: The standard form of the polynomial 5 + 2x + x² is expressed.
We shall first determine the polynomial's degree before expressing it in standard form.
The degree of the provided polynomial is two. Write the phrase containing the polynomial's degree.
Given:
8*2^7
The above expression can be written as
[tex]=8 * 2^7[/tex]
= 8 x 128
= 1024.
Hence, the expression can be written as [tex]8 * 2^7[/tex]
Learn more about power here:
https://brainly.com/question/2289248
#SPJ2
What's the answer ??
Answer:if one part is bigger than the other then its bigger
this should help
Answer:
(8 × 3) + (8×2)
Step-by-step explanation:
50 POINTS PLZ HELP What is the common denominator (LCD) of 6 5/7 and 6 1/3?
Answer:
21Step-by-step explanation:
Denominators of the fractions are 7 and 3, which are mutually prime numbers.
The LCD is the product of 7 and 3:
7*3 = 21Simplify into mixed fraction
[tex]\\ \sf\longmapsto 6\dfrac{5}{7}=\dfrac{47}{7}[/tex]
[tex]\\ \sf\longmapsto 6\dfrac{1}{3}=\dfrac{19}{3}[/tex]
Find LCD
[tex]\\ \sf\longmapsto 7(3)[/tex]
[tex]\\ \sf\longmapsto 21[/tex]
Lucy spent $3.19 on a sparkly headband and $2.67 on a shiny bracelet. How much more did Lucy spend on the sparkly headband?
Answer:
$0.52
Step-by-step explanation:
3.19 (headband) - 2.67 (bracelet) = 0.52
Given: F(x)= 2x - 1; G(x)= 3x + 2; H(x)= x^2
Find F(x) + G(x) + H(x)
Answer:
4
Step-by-step explanation:
Answer: 6x^2+1
(very sorry if this is wrong lol)
Step-by-step explanation:
Substitute all the given numbers into the equation, by doing so this should give you 2x-1+3x+2+x^2.
Since we have a group of x’s add them together, which would make 6x^2, this leaves our -1 and +2 add these these two numbers together to make plus one and finally you will have 6x^2+1
h(x)=2x^(2)
evaluate for h(3/2)
Answer:
hope it helps you.........
can you find x and y
Answer:
yes
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
Your answer is 5,7... Oh that's wrong you forgot to link a file bud
Mark is a plumber. He charges $28 per job plus S20 per hour. If the
total labor bill for a job was $58, how many hours did Mark work?
Answer:
He worked 1.5 hours
Step-by-step explanation:
58-28= 30
30/20 per hour
1.5
PLEASE HELP ASAP GIVING BRAINLIEST
Answer:
brainliest mo munako
Step-by-step explanation:
bago answer pede maliwaag ba
which expession represents the product of 3 and 7
3 × 7
i took the test
help me pls tell methe answer
x/3
Hope this helped uou, have a good day bro cya)
