A person invests $100,000 dollars at 8% for 10 years. How much money does the person have in their account if it is compounded....
a) annually
b) semi annually
c) quarterly
d) monthly
e) daily
f) continuously
i only need a, c, e, f
Answers
9514 1404 393
Answer:
a) $215,892.50
c) $220,803.97
e) $222,534.58
f) $222.554.09
Step-by-step explanation:
The compound interest formula is ...
FV = P(1 +r/n)^(nt)
where principal P is invested at annual rate r for t years, compounded n times per year. In this problem, you have P=100,000, r=0.08, t=10, and the only variable of interest is n.
When calculations are repeated, it is often convenient to let a calculator or spreadsheet do them. You only need to program the formula once, then use it for the different values of the variable of interest. Most spreadsheets have this formula built in, so you don't even need to program it.
__
For continuous compounding, the formula is ...
FV = Pe^(rt)
FV = 100,000e^(0.08·10) = 222,554.09
Related Questions
please help and show work
Answers
Answer:
[tex]since \: the \: three \: sides \: are \: not\: equal : \\ its \: a \to \:\underline{\boxed{scalene}} \\ line \: \overline{AB} = 2 \\ line \: \overline{AC}= 6 \\ line \: \overline{BC} = 2 \sqrt{10} [/tex]
Step-by-step explanation:
[tex]to \: prove \: this \to \: we \: will \: need \: to \: find \\ \: the \: lenghts \: of \: the \: sides \: of \: \\ this \: triangle \to \\ using \: the \: shortest \: distance \: between \: \\ two \: points \to \: d \: = \sqrt{( {x_2 -x_1) }^{2} + (y_2 - y_1)^{2} } \\ \\ \underline{ \boxed{\overline{AB}}} \\ line \: \overline{AB} \: has \: points \to: ( - 3, - 3) \: and \:( 3, 5) \\ d \: = \sqrt{ (( - 3) - ( - 3))^{2} +( 5 - 3))^{2} } \\ d = \sqrt{(0) + (4)} \\ d = \sqrt{4} \\ \boxed{ d = 2 = AB} \\ \\ \underline{ \boxed{\overline{AC}}} \\ line \: \overline{AC} \: has \: points \to: ( - 3, - 3) \: and \:( 5, - 1) \\ d \: = \sqrt{ (( - 3) - ( - 3))^{2} +(( - 1) - 5)^{2} } \\ d = \sqrt{(0) + ( - 6) {}^{2} } \\ d = \sqrt{36} \\ \boxed{ d = 6 = AC} \\ \\ \underline{ \boxed{\overline{BC}}} \\ line \: \overline{BC} \: has \: points \to: ( 3, 5) \: and \:( 5, - 1) \\ d \: = \sqrt{ (5 - 3)^{2} +(( - 1) - 5)^{2} } \\ d = \sqrt{(2) {}^{2} + ( - 6) {}^{2} } \\ d = \sqrt{40} \\ \boxed{ d =2 \sqrt{10} = BC} \\ its \: a \: scalene : since \: the \: three \: sides \: are \: not\: equal[/tex]
A 180 foot length of fence is placed around a three-sided animal pen. Two of the sides of the pen are 72 feet and 78 feet. Does the fence form a right triangle?
Answers
Answer:
Yes
Step-by-step explanation:
Length of the third side
[tex]180-(72+78)=30\ \text{ft}[/tex]
The hypotenuse is always the longest side of a right triangle.
So, the hypotenuse here is [tex]c=78\ \text{ft}[/tex]
[tex]a=72\ \text{ft},b=30\ \text{ft}[/tex]
[tex]c=\sqrt{a^2+b^2}\\\Rightarrow c=\sqrt{72^2+30^2}\\\Rightarrow c=\sqrt{6084}\\\Rightarrow c=78\ \text{ft}[/tex]
The Pythagoras theorem applies so the fence does form a right triangle.
In this cube each small square has a side length 1 unit what is the surface area of this cube
Answers
==============================================================
Work Shown:
x = side length = 1 unit
SA = surface area of cube
SA = 6x^2
SA = 6*1^2
SA = 6*1
SA = 6
The surface area of the cube is 6 square units.
-------------------------
Side note:
In general, each face is x*x = x^2 units in area, and there are 6 of those faces. This is why the general surface area is 6x^2. In this case, each face is 1 square unit, so all 6 faces lead to a total of 6 square units.
What is the distance from A(-3, 6) to B(4, -3)?
\/~~32
\/~~-32
\/~~10
\/~~130
Answers
Answer:
D) √130
The distance of the given points
AB = √130
Step-by-step explanation:
Explanation:-
Given points are A(-3,6) and B( 4,-3)
The distance formula
AB = [tex]\sqrt{x_{2}-x_{1})^{2} +(y_{2} -y_{1} )^{2} }[/tex]
AB = [tex]\sqrt{(4-(-3))^{2} +(-3-6)^{2}[/tex]
AB = [tex]\sqrt{(7)^{2} +(-9)^{2} }[/tex]
AB = [tex]\sqrt{49+81}[/tex]
AB = √130
If 15 is 25% of a value, what is that value? A. 40 B. 65 C. 75 D. 60
Answers
Answer:
d. 60
Step-by-step explanation:
x=15/0.25
15/0.25=60
Simplify the following
16a^2b^3c^6/48ab^5c^6
Answers
Answer:
a/3b^2
Step-by-step explanation:
16a^2b^3c^6/48ab^5c^6
the c^6 cancel out, then simplify a^2 and a: 16a^2b^3/48ab^5 = 16ab^3/48b^5
Then divide 48 and 16 you get 3 16ab^3/48b^5 = ab^3/3b^5
And lastly, simplify b^3 and b^5 ab^3/3b^5 =
a/3b^2
Joey has already taken 3 pictures at home, and he expects to take 1 picture during every
day of vacation. How many days will Joey have to spend on vacation before he will have
taken 13 pictures?
Answers
Zainab has 25 beads.
She gives 6 of the beads to Lucy.
What fraction of the 25 beads does Zainab have now?
Give your answer in its simplest form.
Answers
Answer:
19/25 it cant simplified
Step-by-step explanation:
A class is made up of 12 boys and 13 girls. What percent of the class is boys?
Answers
Answer:
12/13 or 92.31%
Step-by-step explanation:
Answer:
48%
Step-by-step explanation:
So, we have to find what percentage is 12 out of the whole thing so:
We add the boys and the girls together to get the whole thing:
12 + 13 = 25
Then we turn it into a fraction:
12/25 = 48/100
So, 48% of the class is boys
Find the indicated term of each sequence by repeatedly multiplying the first term by the common ratio. Enter your answer to 7 decimal places if necessary. Use a calculator. 12, −2.4, 0.48, ...; 7th term The 7th term of the sequence is
Answers
Answer:
The 7th term of the sequence is 0.000768
Step-by-step explanation:
As given, the sequence is : 12, -2.4 , 0.48, ....
The first term = 12
Second term = -2.4
Third term = 0.48
Common ratio = [tex]\frac{-2.4}{12} = \frac{0.48}{-2.4} = -0.2[/tex]
Fourth term = 0.48(-0.2) = -0.096
Fifth term = -0.096(-0.2) = 0.0192
Sixth term = 0.0192(-0.2) = -0.00384
Seventh term = -0.00384(-0.2) = 0.000768
for each ordered pair determine whether it is a solution to 4x-7y=19
Answers
Answer:
No Solution
Step-by-step explanation:
all the ordered pair doesn't satisfy the equation.
MONEY Claudio went for a walk. While he was walking, $1.35 fell out of his pocket. When he returned home, he counted his money and had $2.55 left. Write and solve an equation to find how much money was in Claudio’s pocket when he started his walk.
Answers
Answer:
3.9 that's how much he had
Answer:
He had $3.90 at the start of his walk.
Step-by-step explanation:
To find out how much money he had before his walk, you would take 2.55 + 1.35 and that you give you 3.9. But since we are dealing with money, you need to have the 0 at the end. So he started with $3.90 when he started his walk.
The legs of a right triangle measure 10 feet and 24 feet. What is the length of the hypotenuse, in
feet?
A. 27
B. 26
C. 34
D. 71,644
E. 48
Answers
Answer:26
Step-by-step explanation:
a squared+b squared= the hypotenuse squared
Input
10 squared+24 squared=the hypotenuse squared
100+576=676 squared
Now we need to find the square route of 676 because this is the hypotenuse squared, and we need to find the hypotenuse. And the square route of 676 is 26.
Can someone please help I’ll mark you the brainiest
Answers
Answer:
try photo math it's meant for this kind of stuff
Solve each system of equations algebraically
y=x+2
y=-3x
Answers
Answer:
Your answer is: (-1/2, 3/2)
Step-by-step explanation:
y = x + 2
y = -3x
Use substitution by plugging the second equation into the first.
-3x = x +2
Subtract x from both sides to combine the variables.
-4x = 2
Divide both sides by -4 to isolate the variable x.
x = 2/-4
Simplify.
x = -1/2
Plug x into one of the equations to find y.
y = (-1/2) + 2
y = 3/2
Plug x into the other equation to confirm your answer.
y = -3(-1/2)
y = 3/2
Your answer is: (-1/2, 3/2)
What is the value of x? Enter your answer in the box.
Answers
Fractions easy.
I just need answer for c and d
Answers
Answer:
i think C is 27 1/2 and D is 2 1/22 i dont know though let me know if its wrong
Step-by-step explanation:
i just turned them into mixed numbers
Solve the system of linear equations using Substitution
5x + 2y= 9
y = -x-3
Answers
Answer:
(5, -8)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
5x + 2y = 9
y = -x - 3
Step 2: Solve for x
Substitution
Substitute in y: 5x + 2(-x - 3) = 9[Distributive Property] Distribute 2: 5x - 2x - 6 = 9Combine like terms: 3x - 6 = 9[Addition Property of Equality] Add 6 on both sides: 3x = 15[Division Property of Equality] Divide 3 on both sides: x = 5Step 3: Solve for y
Define original equation: y = -x - 3Substitute in x: y = -5 - 3Subtract: y = -8Help me please I need this grade!
Which expression is equivalent to 24x + 18y?
A) xy + 42
B) 6(4x + 3y)
C) 6xy(4 + 3)
D) 42xy
Answers
Step-by-step explanation:
The Answer is C I got it right on edge.
Answer:
B) 6(4x + 3y)
Step-by-step explanation:
I got that one wrong I got a 90 but B is it
-3 -5 1 0 3
Three different numbers from the list are added together to give the smallest possible total.
Complete the sum below.
Answers
Sweet Treats Bakery is placing an order for 6,795 kilograms of sugar. That is 25% less than the bakery requested in its last order. How much sugar did Sweet Treats Bakery order then?
Answers
Answer:
9060
Step-by-step explanation:
let s be the amount of sugar the bakery ordered in the last order
s - 0.25s = 6795
0.75s = 6795
divide both sides by 0.75
9060
A factory can fill 225 bottles of orange juice each hour. Each bottle of orange juice contains 24 fluid ounces. Each bottle of juice sells for $5.50. How many fluid ounces of juice are filled in each 12-hour shift?
Answers
Answer:
27 i think
Step-by-step explanation:
I divided them to make sure its right im not 100 percent sure tho
Work out the size of angle x
Answers
What is the slope of the line
represented by 5x – 7y = 9?
Answers
Answer:
5/7.
Step-by-step explanation:
Convert to slope-intercept form:
5x – 7y = 9
Subtract 5x from both sides:
-7y = -5x + 9
Divide through by -7:
y = (-5/-7) x + -9/7
y = 5/7 x - 9/7
The slope is 5/7.
Don deposited $3,500 for 5 years on 2.40 pa interest rate in his savings account how much simple interest will he earn
Answers
84 (5) = $420 in simple interest
please help on this
Answers
Answer:
Try the first one but I think i that it
Step-by-step explanation:
Hope that helps
PLSSSS HELP CORRECT ANSWER GETS BRAINLIEST
Answers
1.A
2.B
3.C
Answers
Answer:
C
Step-by-step explanation:
4. David makes $ 16,000 a year. He gets paid SEMIMONTHLY (24 times a year). What is the amount
per pay?*
Answers
Answer:
$384,000
Step-by-step explanation:
Answer: Well if we have to round up i would say he makes about 6660.60 dollars a day
If there are any answer choices maybe i could help a bit morec
Step-by-step explanation:
2(x-5)=8x+14-2X
what is the first step
Answers
Answer:
Distribute the 2 through to the (x-5)
Step-by-step explanation:
After that you get x by itself and stuff like that, but first is distributing.
may someone help me ASAP? I am solving polynomial equations and I don't know how to do it, here is the equation... x^4+11x^2=3x^2+128
Answers
Answer:
[tex]x=2\sqrt{2}[/tex], [tex]x=-2\sqrt{2}[/tex], [tex]x=4i[/tex], [tex]x=-4i[/tex]
Step-by-step explanation:
[tex]x^4+11x^2=3x^2+128[/tex]
First, we subtract 128 from both sides:
[tex]x^4+11x^2-128=3x^2[/tex]
Then, we subtract [tex]3x^2[/tex] from both sides:
[tex]x^4+8x^2-128=0[/tex]
Rewrite the equation:
[tex]u^2+8u-128=0[/tex]
Insert and solve:
[tex]u^2+8u-128=0\\u=8,u=-16\\x^2=8:x=2\sqrt{2},x= -2\sqrt{2} \\x^2=-16:x=4i,x=-4i[/tex]
Please give Brainliest