Please help! I will give brainlist
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
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When this amount is multiplied by 2.117, the result is 200,000.
- Rectangle MNOP with vertices M(-7.-2).
M(-5, -1), 0(-27), and P(-4,-8):
90° counterclockwise about the origin
Answer:
M’ = (2, -7)
N’ = (1, -5)
O’ = (7, - 2)
P’ = (8,- 4)
Step-by-step explanation:
Swap the x and y coordinates and negate the y coordinate.
M(-7, -2) swap = (- - 2, -7) = (2,-7)
N(-5, - 1) swap = (- - 1, - 5) = (1, - 5)
O(-2,-7) swap = (- -7, -2) = (7, - 2)
P(-4,-8) swap = (- - 8, - 4) = (8, - 4)
A zoo has 15Emperor penguins. The Emperor penguins make up 30%, percent of all the penguins at the zoo.
How many penguins live at the zoo?
Answer:
50
Explaination:
Call the number of penguins that live in the zoo = a
15 = 30% x a
a = 15 ÷ 30%
a = 15 : 0.3
a = 50
jason and ben are coworkers five years ago jason was 2.5 times as old as ben if ben is 31 how old is jason]
Answer:
65
Step-by-step explanation:
if 5 years ago Ben is 26 years old then Jason was 65.
If you multiply 26 by 2.5 then you'll get 65.
What is the constant of proportionality for the data in the table?
Answer:
30
Step-by-step explanation:
What is the slope? Answers?
6/5
1/5
3/5
Answer:
Slope: 1/5
Step-by-step explanation:
Juan envasa 60 bombones en cajas iguales y otros 60 en otras cajas más pequeñas, con cinco bombones menos en cada una. ¿Cuántas cajas ha llenado, si de las pequeñas hay una más que de las grandes?
Juan llenó 3 cajas grandes y 4 cajas pequeñas.
En esta pregunta debemos derivar ecuaciones algebraicas a partir de la información dada en el enunciado:
Diferencia entre cajas grandes y cajas pequeñas
[tex]m - n = 1[/tex] (1)
Donde:
[tex]m[/tex] - Cantidad de cajas pequeñas.[tex]n[/tex] - Cantidad de cajas grandes.Diferencia entre la cantidad de bombones en una caja grande y la cantidad de bombones en una caja pequeña
[tex]x-y = 5[/tex] (2)
Donde:
[tex]x[/tex] - Cantidad de bombones en una caja grande.[tex]y[/tex] - Cantidad de bombones en una caja pequeña.Total de bombones en cajas grandes
[tex]x\cdot m = 60[/tex] (3)
Total de bombones en cajas pequeñas
[tex]y\cdot n = 60[/tex] (4)
By (3) and (4) in (2):
[tex]\frac{60}{m} - \frac{60}{n} = 5[/tex]
[tex]60\cdot n - 60\cdot m = 5\cdot m\cdot n[/tex] (5)
By (1):
[tex]m = 1 + n[/tex]
(1) in (5):
[tex]60\cdot n - 60\cdot (1+n) = 5\cdot (1+n)\cdot n[/tex]
[tex]60 = 5\cdot n +5\cdot n^{2}[/tex]
[tex]5\cdot n^{2}+5\cdot n -60 = 0[/tex]
[tex]n^{2}+n-12 = 0[/tex]
[tex](n+4)\cdot (n-3) = 0[/tex]
La única raíz que encaja con el enunciado es [tex]n = 3[/tex]. Por (1) tenemos que [tex]m = 4[/tex].
Juan llenó 3 cajas grandes y 4 cajas pequeñas.
Invitamos cordialmente a ver este problema sobre sistemas de ecuaciones: https://brainly.com/question/12149981
help me plsss
25% of __ is 7
25% = 25/100
25% of 28 is 7
~fractions
=====================
understand the steps below!
7 ÷ 25%
= 7 ÷ 25/100
= 7 × 100/25
= 7 × 4
= 28 ✔️
~ nice to help you ^^
x^2 + y^2 = 9
Please solve in y=mx+b format
Answer:
Step-by-step explanation:
x^2 + y^2 = 9, or x^2 + y^2 = 3^2, is the equation of a circle with center at (0, 0) and radius 2. It does not represent a line such as y = mx + b.
If you were given both x^2 + y^2 = 9 and y = mx + b, you could find zero, or one, or two points of intersection between circle and line.
x^2 + y^2 = 9 could be solved for either x or y as follows:
x^2 = 9 - y^2, so that x = ±√(9 - y^2). This is valid for 0 ≤ y < infinity, but again we have not "solve in y = mx + b" format.
Kindly solve and explain
[tex] \frac{{12}^{ \frac{1}{2} } }{ {3}^{ \frac{3}{2} } } \\ = \frac{(3 \times 4) ^{ \frac{1}{2} } }{ {3}^{ \frac{3}{2} } } \\ = \frac{ {3}^{ \frac{1}{2} } \times {4}^{ \frac{1}{2} } }{ {3}^{ \frac{3}{2} } } \\ = {3}^{ (\frac{1}{2} - \frac{3}{2}) } \times 2 ^{2 \times \frac{1}{2} } \\ = {3}^{ - \frac{2}{2} } \times 2 \\ = 3 ^{ - 1} \times 2 \\ = \frac{2}{3} [/tex]
Answer:[tex] \frac{2}{3} [/tex]
Hope it helps.
Do comment if you have any query.
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
round 6.76 to the nearest tenth
Answer:
6.8
Step-by-step explanation:
HELPPP OMGGG
10, 10, 18, 18, 10, 5, 12, 13
Find the median and mean number of hours for these students.
If necessary, round your answers to the nearest tenth.
please please please help me guys
Answer:
B
Step-by-step explanation:
Apply Trignometric ratio
[tex] \cos(x) = \frac{adj \: side}{hypotenuse} \\ \cos(x) = \frac{8}{21} \\ x = \cos { }^{ - 1} ( \frac{8}{21} ) \\ x = 67.6[/tex]
i= 7.65
p= 999
r= ? %
t= 6.4 years
Answer:
.11965
Step-by-step explanation:
Interest Rate = (Simple Interest × 100)/(Principal × Time).
7.65= 999(6.4)(r)
7.65/6393.6= 0.0011965
Convert the rate into a percentage by multiplying by 100
0.0011965*100= 0.11965%
Solve for n.
9 =
n
2
+ 7
n =
Answer:
9/n-2=7
We move all terms to the left:
9/n-2-(7)=0
Domain of the equation: n!=0
n∈R
We add all the numbers together, and all the variables
9/n-9=0
We multiply all the terms by the denominator
-9*n+9=0
We add all the numbers together, and all the variables
-9n+9=0
We move all terms containing n to the left, all other terms to the right
-9n=-9
n=-9/-9
n=1
Answer:
n = 1
Step-by-step explanation:
2 x 1 = 2
2 + 7 = 9
I really need help with this maths question
Answer: 5.6 meters
Step-by-step explanation: I usually start of by translating the words into numbers. 12% more is 1.12. So her best is 1.12*her first. Which means her best 0.85*the winning. substitute and you get 5.6
Identify the constant of proportionality
Answer:
its 2
Step-by-step explanation:
When two variables are directly proportional to each others .
pls any body.......
Name 2 of the same side interior angle.
Answer:
d & e
Step-by-step explanation:
I'm assuming by "same side interior angle" they mean consecutive interior angles. I'll attach a document explaining what that is.
Which of the following tables does not represent a function?
x y
-1 1
-2 1
-3 1
x y
-5 1
-5 -2
-5 -5
x y
-4 0
2 0
5 7
x y
-5 1
-3 -2
-1 -5
Answer:
x y
-5 1
-5 -2
-5 -5
Step-by-step explanation:
same x value, but different y value
what does a rhombus and a rectangle have in common
A rhombus and a rectangle have the following similarities: The opposite angles are equal. The diagonals are equal in length and bisect each other. Their opposite sides are equal and parallel.
Answer:
They are both parallelograms.
Step-by-step explanation:
4(t + 1/4 )=3
Solve for t
Answer:
t = 1/2
Step-by-step explanation:
= 4 ( t + 1/4 ) / 4 = 3/4
= t + 1/4 = 3/4
= t + 1/4 - 1/4 = 3/4 - 1/4
simplify
Answer : t = 1/2
PLS HELP ME IMMA CRY ONGG GGHGHJH
Answer:124
explanation: 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64 67 70 73 76 79 82 85 88 91 94 97 100 103 106 109 112 115 118 121 124
Here is a right angled triangle:
Work out the area of the triangle.
Answer:
6
Step-by-step explanation:
Answer:
The area is 6 because i add it and the divide it
Please need help 20 points
tte corresponding angle is angle 5
A person in car, travelling at 90 kilometers per hour, takes 2 seconds to go past the building on the side of the road. Calculate the length of the building in meters help
Step-by-step explanation:
very simple thought experiment :
he is going 90 km/h (90 kilometers per hour), so, he moving 90 km in 1 hour.
how far is he going in just 2 seconds ?
so, we get two ratios.
90km/1 hour = 90,000 meter / 1 hour
x meter / 2 seconds
we need to bring both ratios (they are fractions) to the same dimension of the denominators, so that we can then bring them to the same denominator.
the first is dealing with an hour.
the second one with (2) seconds.
so, how many seconds are in 1 hour ?
60 seconds per minute, 60 minutes in the hour.
60×60 = 3600 seconds.
so, now we know, the first ratio is also
90,000 meter / 3600 seconds
now we need the factor to to multiply numerator and denominator with to bring 3600 down to 2.
3600 × f = 2
f = 2/3600 = 1/1800
now we get
90,000 / 3600 × (1/1800) / (1/1800) =
(90000 / 1800) / (3600 / 1800) = 50 / 2
so, 90km/h is the same speed as 50 meter / 2 seconds.
and therefore we know, the building was 50 meters long.
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
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]
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