A retirement account was opened with a $900 deposit. If the account earns 4.25% interest compounded continuously and has no other deposits or withdrawals, how long will it take the value to double?
It will take 16.66years long for the money to double
The formula for calculating the compound amount is expressed as:
A = P(1+r)^t
A is the amount after t years = 2(900) = $1800P is the amount invested = $900r is the rate in decimal = 4.25% = 0.0425Substitute into the formula to have:
1800 = 900(1+0.0425)^t
2 =(1+0.0425)^t
2 = 1.0425^t
ln2 = tln1.0425
t = ln2/ln1.0425
t = 0.6931/0.0416
t = 16.66years
This shows that it will take 16.66years long for the money to double
Learn more on compound interest here: https://brainly.com/question/18483293
One year, the population of a city was 51,000. Several years later it was 61,200. Find
the percent increase
What is the percent increase
Answer:
20%
Step-by-step explanation:
(61200-51000)/51000×100
(102000/51000)×100
0.2×100=20%
Hope that helped! :)
How many ways are there to put 5 balls in 2 boxes if the balls are not distinguishable and neither are the boxes
Answer: I was thinking (5,0), (4,1), and (3,2) for a total of 12 ways.
Step-by-step explanation:1
It is 3: the partitions of 5 into ≤2 parts.
100 POINTS IF U GET DIS RIGHT!
Answer:
[tex]- \frac{3}{5}[/tex]
Step-by-step explanation:
slope-intercept form: y = mx + b
y = (x , y)
m = slope = [tex]-\frac{3}{5}[/tex]
x = (x , y)
b = y-intercept = [tex]- \frac{7}{9}[/tex]
With this given information, your slope will be [tex]-\frac{3}{5}[/tex]
Answer:
-3/5
Step-by-step explanation:
The answer is -3/5 I think
A bakery made 25 dozen cookies.They sold 48 of the cookies how many are left?
Answer:
I believe it is 252 correct me if I'm wrong
Answer:
252
Step-by-step explanation:
25 dozen is 300 cookies subtract 48 and get 252
Please help, thank you in advance
Answer:
Solution
9
1
3
6
Step-by-step explanation:
Complete the equation of the line through (-6,-5)(−6,−5)left parenthesis, minus, 6, comma, minus, 5, right parenthesis and (-4,-4)(−4,−4)left parenthesis, minus, 4, comma, minus, 4, right parenthesis.
Use exact numbers.
Answer:
d
Step-by-step explanation:
Answer:
Hint #33 / 3
The equation is y=\dfrac{1}{2}x -2y=
2
1
x−2y, equals, start fraction, 1, divided by, 2, end fraction, x, minus, 2.
Step-by-step explanation:on kan
Find the measure of angle x in the figure
Step-by-step explanation:
apply angle sum property of triangle in ∆BCA
now,
x + x + 110° = 180
2x = 180 - 110 = 70
x = 70/2 = 35
x = 35°
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
Complete the multiplication: AB.
Answer:
Option: B is the correct
Step-by-step explanation:
Step-by-step explanation:
We are given two matrices A and B as follows:
\begin{gathered}A=\left[\begin{array}{ccc}3&0\\2&-1\end{array}\right]\end{gathered}
A=[
3
2
0
−1
]
and
\begin{gathered}B=\left[\begin{array}{ccc}2&8\\0.6&3\end{array}\right]\end{gathered}
B=[
2
0.6
8
3
]
We know that the multiplication of two matrices of the type:
\begin{gathered}A=\left[\begin{array}{ccc}a&b\\c&d\end{array}\right]\end{gathered}
A=[
a
c
b
d
]
and
\begin{gathered}B=\left[\begin{array}{ccc}a'&b'\\c'&d'\end{array}\right]\end{gathered}
B=[
a
′
c
′
b
′
d
′
]
is given by:
\begin{gathered}AB=\left[\begin{array}{ccc}aa'+bc'&ab'+bd'\\ca'+dc'&cb'+dd'\end{array}\right]\end{gathered}
AB=[
aa
′
+bc
′
ca
′
+dc
′
ab
′
+bd
′
cb
′
+dd
′
]
Hence, here we have:
\begin{gathered}AB=\left[\begin{array}{ccc}3\times 2+0\times 0.6&3\times 8+0\times 3\\2\times 2+(-1)\times 0.6&2\times 8+(-1)\times 3\end{array}\right]\end{gathered}
AB=[
3×2+0×0.6
2×2+(−1)×0.6
3×8+0×3
2×8+(−1)×3
]
i.e.
\begin{gathered}AB=\left[\begin{array}{ccc}6+0&24+0\\4-0.6&16-3\end{array}\right]\end{gathered}
AB=[
6+0
4−0.6
24+0
16−3
]
i.e.
\begin{gathered}AB=\left[\begin{array}{ccc}6&24\\3.4&13\end{array}\right]\end{gathered}
AB=[
6
3.4
24
13
]
DIRECTIONS:give the formula for each surface area.
pls answer thank you!!
[tex]\boxed{\sf Area_{(Square)}=(side)^2}[/tex]
[tex]\boxed{\sf Area_{(Rectangle)}=Length\times Breadth}[/tex]
[tex]\boxed{\sf Area_{(Rhombus)}=\dfrac{1}{2}\times Diagonals}[/tex]
[tex]\boxed{\sf Area_{(Triangle)}=\dfrac{1}{2}\times Base\times Height}[/tex]
Which slope is perpendicular to slope m= 5/6
Answer:
-6/5
Step-by-step explanation:
The slope of perpendicular lines multiply to -1
5/6 * p = -1
Multiply each side by 6/5
6/5 * 5/6 * p = -1 * 6/5
p = -6/5
The slope of the perpendicular line is -6/5
please help with this
Answer:
Step-by-step explanation:
The perimeter of a circle is 2πr
r here is 7 so the perimeter of the full circle is 14π which is 43.9822972
But you only have half a circle, so 43.9822972 / 2 = 21.991148.
But now you have to add the 14 cm to it to close the half circle, so 21.991148 + 14 = 35.991148 or 36 cm
if there are 60 millions barrels and 34% gas and 29% diesel how many barrels are there total
Answer:
gas barrels = 20,400,000
diesel barrels = 17,400,000
other barrels = 22,200,000
Step-by-step explanation:
Total barrels = 60,000,000
gas = 34% of the barrels
diesel = 29% of the barrels
others = 37% of the barrels 100% - 34% - 29% = 37%
How many of each type of barrels?
60,000,000 × 34% = gas barrels ; 60,000,000 × .34 = 20,400,000
60,000,000 × 29% = diesel barrels; 60,000,000 × .29 = 17,400,000
60,000,000 × 37% = other barrels; 60,000,000 × .37 = 22,200,000
Check: Total barrels 60,000,000 = 60,000,000
6.
3. Use the clues to determine
the number
I have 36 hundreds, 34 tens, and
7 ones. What number am I?
The number is 3947
It should be noted that 36 hundreds will be equal to:
= 36 × 100
= 3600
It should be noted that 34 tens will be:
= 34 × 10
= 340
7 ones will be:
= 7 × 1
= 7.
Therefore, the sum will be:
= 3600 + 340 + 7 = 3947
Answer:
3947
Step-by-step explanation:
Please help 10 points for one question
Please don’t answer if you don’t know
Answer:
Yes.
Step-by-step explanation:
They are similar by the AA (Angle-Angle) Similarity Theorem.
Angle P is congruent to Angle P,
and another angle congruency is <Q and <S OR <R and <T by the
Corresponding
Angle Congruency Theorem.
With two pairs of congruent angles, we can say that Triangle PQR and Triangle PST are similar by the AA Similarity Theorem.
y=[3/2] x+3.
Pls help me .
Its a graph sum
Answer:
I'm not sure what the question is. Graph?
Step-by-step explanation:
See graph.
Answer:
352
what r u do
789
why nt coming
why r u nt talking
Which conditional statement is always logically equivalent to the inverse?
Converse
Conditional
Conjecture
Contrapositive
Answer:
Converse
Step-by-step explanation:
Converse
Ghhhhhhhnbb tggy
Brian says that the expression 8n + 2 is equal to 83 when n=1. Explain why Brian’s answer is incorrect?
Answer:
8n+2 first let’s plug in n which is 1
8(1)+2=10
The answer is 10 but Brian said the expression is equal to 83. He is incorrect because 8 times 1 is 8 and then plus 2 is 10.
I hope it helps.
Paul needs to score higher than 174 to win his bowling tournament. He currently has a score of 42. Which of the following shows how many more points, p, that Paul needs to get to score higher than 174?
Answer:
He needs 132
Step-by-step explanation:
hope it helps
39.2 is 95 percent of what?
You are given right triangle that has a perimeter of 42.56m, a hypotenuse of 21.34m and a base length of 8.76m. Find the area of the right triangle.
Answer:
buuuuuuuuuuut butt
Step-by-step explanation:
El siguiente cuerpo es CUARTA PARTE de un cilindro. ¿Cuál es el volumen? r = 6 cm; h = 9 cm
Answer:
es 54 espero que esto ayude adiós!
Step-by-step explanation:
El volumen de un cilindro con un radio de 6 cm y una altura de 9 cm es 1018 cm³
Un cilindro es una forma tridimensional con dos bases paralelas unidas por una trayectoria curva a una distancia constante.
El volumen de un cilindro es:
Volumen = πr²h
Given that: r = 6 cm; h = 9 cm;
Volumen = πr²h = π(6)²(9) = 1018 cm³
El volumen de un cilindro con un radio de 6 cm y una altura de 9 cm es 1018 cm³
find out more at: https://brainly.com/question/1617707
What sentence represents this equation?
912=15−x
912 is the same as a number decreased by 15.
912 is the same as 15 decreased by a number.
15 decreased by 912 is the same as a number.
A number is the same as the difference of 15 and 912.
The sentence representing the equation is 912 is the same as 15 decreased by a number.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given an equation, 912 = 15 − x
Here, 912 is equal to a number which is being subtracted from 15.
Hence, The sentence representing the equation is 912 is the same as 15 decreased by a number.
For more references on equation, click;
https://brainly.com/question/10413253
#SPJ2
If a company had a gain of 800$ in March , but in April and May , it had a loss of $400 and 900$ respectively , how mich profit or loss did the company have in three months .
Please answer quickly ,.I will mark you as brainlist ... In Hurry Plz
Answer:
-500
Step-by-step explanation:
i knew the answer
have a great day ;)
This question: 1p
Find the surface area of the prism.
Answer:
Step-by-step explanation:
Find the average rate of change between x=2 and x=4 for the function. F(x)=3x^3-1
Answer:
84Step-by-step explanation:
Average rate of change between x = 2 and x = 4 is:
[f(4) - f(2)]/(4 - 2) = (3*4³ - 1 - 3*2³ + 1)/2 = 168/2 = 84[tex]\boxed{\sf Average\: change=\dfrac{f(a)-f(b)}{a-b}}[/tex]
[tex]\\ \sf\longmapsto f(x)=3x^3-1[/tex]
[tex]\\ \sf\longmapsto f(4)=3(4)^3-1=3(64)-1=192-1=191[/tex]
[tex]\\ \sf\longmapsto f(2)=3(2)^3-1=3(8)-1=24-1=23[/tex]
Average change
[tex]\\ \sf\longmapsto \dfrac{192-23}{4-2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{168}{2}[/tex]
[tex]\\ \sf\longmapsto 84[/tex]
PLEASE HELP ME ASAP
NO LINKS
Step-by-step explanation:
1)
x⁴×x^a = x¹²
you know that you can add the exponents when multiplying terms with the same base value/variable ?
because that is what we are doing here to solve it :
x^(4 + a) = x¹²
therefore,
4 + a = 12
a = 8
2)
y^b / y⁵ = y²
similar to 1), but when we divide, we subtract the exponents.
y^(b - 5) = y²
b - 5 = 2
b = 7
3)
3^c = 1/27
27 = 3³
27×3^c = 1
3³×3^c = 1
3^(3 + c) = 1
now we need to remember : x⁰ = 1.
therefore, 3⁰ = 1
3^(3 + c) = 3⁰
3 + c = 0
c = -3
4)
(m³)² = m^d
aha !
now we need to remember, we can multiply the exponents, when we have an exponent of an exponent term.
m^(3×2) = m^d
3×2 = d
6 = d
5)
7⁰ = e
remember, x⁰ = 1, so also 7⁰ = 1.
therefore, e = 1.
6)
4^-2 × 4⁹ × 4^‐5 = 4^f
so, now we need apply what we just learned to a sequence of operations :
each term has the same base value (4), and they are all multiplied, so we can do the described adding of the exponents :
4^(-2 + 9 - 5) = 4^f
therefore,
f = -2 + 9 - 5 = 2
Answer:
just here 4 points
Step-by-step explanation:
Calculate the standard deviations of the plant weights in each group. Is the equal population standard deviation met
Answer: How would i know what im calculating?
Step-by-step explanation:
write 65% as term fraction in its lowest a
Answer:
13/20
Step-by-step explanation:
65% = 65/100 = 13/20
Hoped this helped.
Answer:
13/20
Step-by-step explanation:
write down three integers below 25 with the range of 10 and the mean of 13
Answer:
8, 13, 18
Step-by-step explanation:
Middle number is 13, there are only 3
Max is 10/2 more so 18
Min is 18-10