Answer:
Brianna would have $177 more in her account than Penelope after 16 years.
Step-by-step explanation:
Note: There are errors in the question especially in how the interest rates are stated. These are therefore fixed before answering the question. The complete question with the fixed errors is given as follows:
Brianna invested $990 in an account paying an interest rate of 9.34943% compounded continuously. Penelope invested $990 in an account paying an interest rate of 9.12921% compounded monthly. After 16 years, how much more money would Brianna have in her account than Penelope, to the nearest dollar?
The explanation to the answers is now provided as follows:
Step 1: Calculation of the amount of money Brianna would have in her account after 16 years
Since the interest rate is compounded continuously, the amount can be calculated using the formula for calculating the future of value (FV) with a continuous compounding interest rate as follows:
FVB = Pe^(rt) …………………………. (1)
Where;
FVB = Future value or the amount of money Brianna would have in her account after 16 years = ?
P = Amount invested = $990
e = exponential function
r = interest rate = 9.34943%, or 0.0934943
t = number of years = 16
Substituting the values into equation (1), we have:
FVB = $990 * e^(0.0934943 * 16)
FVB = $990 * e^(1.4959088)
FVB = $990 * 4.46339103998695
FVB = $4,418.75712958708
Rounding to the nearest dollar, we have:
FVB = $4,419
Therefore, Brianna would have $4,419 in her account after 16 years.
Step 2: Calculation of the amount of money Penelope would have in her account after 16 years
Since the interest rate is compounded monthly, the amount is calculated using the normal formula for calculating the future value as follows:
FVP = P * (1 + R)^n …………………………. (2)
Where;
FVP = Future value or the amount of money Penelope would have in her account after 16 years = ?
P = Amount invested = $990
R = monthly interest rate = Interest rate / 12 months = 9.12921% / 12 = 0.0912921 / 12 = 0.007607675
t = number of months = number of years * 12 months = 16 * 12 = 192
Substituting the values into equation (2), we have:
FVP = $990 * (1 + 0.007607675)^192
FVP = $990 * 1.007607675^192
FVP = $990 * 4.28510670976906
FVP = $4,242.25564267137
Rounding to the nearest dollar, we have:
FVP = $4,242
Therefore, Penelope would have $4,242 in her account after 16 years.
Step 3: Calculation of the amount of money Brianna would have more in her account than Penelope after 16 years
From Step 1 above, we have:
FVB = Future value or the amount of money Brianna would have in her account after 16 years = $4,419
From Step 2 above, we have:
FVP = Future value or the amount of money Penelope would have in her account after 16 years = $2,242
The amount of money Brianna would have more in her account than Penelope after 16 years can be calculated by deducting FVP from FVB to obtain the difference as follows:
Difference = FVB - FVP = $4,419 - $4,242 = $177
Therefore, Brianna would have $177 more in her account than Penelope after 16 years.
Answer:
$212
Step-by-step explanation:
trust me
NEED HELP PLEASE! SOMEONE HELP ME ON THIS!
Answer:
y=16
Step-by-step explanation:
I hope this helps :)
write all names that apply to each number 121/[tex]\sqrt{x} 121[/tex]
Change 8 1/2 to an
improper fraction.
Answer:
17/2
Step-by-step explanation:
Answer:
17/2
Step-by-step explanation:
Improper fraction means no whole number. So, we have to change 8 to a fraction with a common denominator as 1/2. So, 8/1 = 16/2, plus the given 1/2, that's 17/2.
the ratio of 17 and a number
as an expression
P(-,3) , Q(7,-3) and R (4,1) are three points. show that PQ=2QR using distance formula. (please show the steps too :)
Answer:
PQ is 10.
QR is 5.
Hence, PQ=2QR
Step-by-step explanation:
We have the three points P(-1, 3); Q(7, -3); and R(4, 1).
And we want to show that PQ=2QR.
In other words, we want to show that PQ/QR=2.
So, let's find PQ and QR. We will need to use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
To find PQ:
P is (-1, 3) and Q is (7, -3).
So, we will let P(-1, 3) be (x₁, y₁) and Q(7, -3) be (x₂, y₂).
Substitute the values into the distance formula. This yields:
[tex]d=\sqrt{(7-(-1))^2+(-3-3)^2[/tex]
Evaluate:
[tex]d=\sqrt{(8)^2+(-6)^2[/tex]
Evaluate:
[tex]d=\sqrt{64+36}=\sqrt{100}=10[/tex]
So, the distance of PQ is 10.
And to find QR:
Q is (7, -3) and R is (4, 1).
Again, we will let Q(7, -3) be (x₁, y₁) and R(4, 1) be (x₂, y₂).
Substitute appropriately. So:
[tex]d=\sqrt{(4-7)^2+(1-(-3))^2[/tex]
Evaluate:
[tex]d=\sqrt{(-3)^2+(4)^2[/tex]
Evaluate:
[tex]d=\sqrt{9+16}=\sqrt{25}=5[/tex]
So, the distance of QR is 5.
Therefore, it follows that:
[tex]\displaystyle PQ=2QR\Rightarrow \frac{PQ}{QR}=2\Rightarrow\frac{10}{5}\stackrel{\checmark}{=}2[/tex]
And we have shown that PQ=2QR.
QUESTION 11
A box of 500 components contains 125 that are defective. Two components are drawn at random, tested and not replaced. Find
probability that both are defective.
A. 0.004
B. 0.0621
C. 0.25
D. 0.4985
Answer:
answer is B and if u want to check then do google u fail fatucraa
The map shows the territories in Australia.
A map titled Australia. Territories are shown in different colors. It shows a scale from 0 to 1,000 kilometers.
Using the map’s scale, what is the approximate straight-line distance between the cities of Darwin and Brisbane?
2,500 km
2,000 km
1,800 km
1,500 km
Answer: 2000KM
Step-by-step explanation: I just took the quiz
Answer:
2k
Step-by-step explanation:
Edward purchased a house for $70,000. Five
years later, he sold it for an 18% profit. What
was his selling price?
Answer:
I think its 82600. If you times 70000 by .18 you get 12600, and add that to 70000
Answer:
82600
Step-by-step explanation:
y varies directly with x. y is 84 when x is 16. What is the constant of proportionality? (Write answer as improper fraction...Remember to reduce!)
Answer: 5 1/4
Step-by-step explanation:
We use the formula for direct proportion to solve the question since we are informed that y varies directly with x and that y is 84 when x is 16.
The formula will be:
y = kx
where,
y = 84
x = 16
We then slot the values into the formula
y = kx
84 = 16k
k = 84/16
k = 5 1/4
The constant of proportionality is 5 1/4
Please Answer Quickly!!!!!
Divide the following polynomials. Then place the answer in the proper location on the grid. Write your answer in order of descending powers of x. Do not include parentheses in your answer.
(x^5 + y^5) ÷ (x + y)
Answer:
x^4 + x^4 or x^4 - x^3 + x^2y^2 - xy^3 + y^4
Step-by-step explanation:
pleaseee hellpppp (ill mark you brainliest)
Answer: G = (Whatever value x 12 is less than 48)
Step-by-step explanation:In this scenario, we need a value where as 48 is greater. This could a value like 3.
HELPPP!! How many pages does Danika read per hour?
Answer:
4 pages per hour
Step-by-step explanation:
3x4=12
6x4=24
4x4=16
Answer:
40, I would believe.
Step-by-step explanation:
Divide 120 by 3 you will get 40. Also, 4 hours proves my point more, only being 40 more above.
8. Which of the following is the 43rd term of the arithmetic sequence 3,0-3, ...?
A-117
B 120
C. -123
D. -126
Answer:
C
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 3 and d = a₂ - a₁ = 0 - 3 = - 3 , thus
a₄₃ = 3 + (42 × - 3) = 3 - 126 = - 123 → C
Answer:
C. -123.
Step-by-step explanation:
nth term = a1 + d(n - 1)
43rd term = 3 + -3(43-1)
= 3 - 126
= -123.
I need help what is 145 marked up 175%
what is the mass of an object that weighs 7 kg and 50 N?
Answer:
7kg
Step-by-step explanation:
mass: amount of matter in a substance,
SI Unit: kg
It has nothing to do with N (weight) in this case so take the kg value as the mass
Answer:
0.71 kg
Step-by-step explanation:
a common equation in physics is w = mg
we can rearrange this to m = w/g
g is the acceleration of gravity: 9.81 m/s^2
w is the weight of the given equation of the object: 7 kg
so m = 7 kg ÷ 9.81 m/s^2
this gives us: m = 0.71 kg
What is the total cost of a $500 computer with a 6% tax rate?
Answer:
$530
Step-by-step explanation:
500*0.06=30
500+30=530
Therefore, the answer is $530
What is the slope of the line that passes through the points given in the table? ANSWER IN DECIMAL FORM
Answer:
1.5
Step-by-step explanation:
the slope formula is y2-y1/x2-x1
so take two given points (I'll use (-1, -5) and (3,1))
1--5/3--1
6/4
1 2/4
1.5
4x +6y = 18
please answer this for me
Answer:
x = -3/2y + 9/2
Step-by-step explanation:
Hope this helps have a niceday: )
if I get it right could I plz have brailiest:)
A jar has 32 marbles. Some are blue and the rest are green. There are three times as many green marbles as blue. How many green marbles are in the jar
Answer: 24
Step-by-step explanation:
Number of marbles in jar = 32
Let blue marbles be represented by b.
Since there are three times as many green marbles as blue. This means that green will be = 3 × b = 3b
We then add them together. This will be:
3b + b = 32
4b = 32
b = 32/4
b = 8
There are 8 blue marbles
Since green is 3× blue. Therefore,
Green = 8 × 3 = 24 marbles
The sum of a number and twelve is twenty five
Answer:
Equation: x + 12 = 25Solved: x = 13Step-by-step explanation:
Let x be the number
Write it out as an algebraic equation: x + 12 = 25Subtract each side by 12, so it now looks like this: x = 13I hope this helps!
Answer:
13
Step-by-step explanation:
12 + 13 = 25
10+10=20
20+3+2=25
What ratio is equivalent to 80:88
Answer:
40:44
20:22
10:11
Step-by-step explanation:
Answer:
5040 : 5544
Step-by-step explanation:
310= -6.2f
I’m just struggling on this question;—;
Answer:
Step-by-step explanation:
sup. so what you're going to do is divide -6.2 on both sides to get f by itself
310/-6.2= -6.2f/-6.2
f=-50
Answer:
-50.
Step-by-step explanation:
310 = -6.2f
To solve for f we divide both sides of the equation by -6.2
310 / -6.2 = -6.2f / -6.2
f = -310/-6.2 = -50.
A train is traveling at a constant speed and goes 7.5 kilometers in 6 minutes. At that rate:
Answer:
it goes 1.25 km per minute
Step-by-step explanation:
7.5 divided by 6=1.25
Answer:i think its 100
Step-by-step explanation:
Jonathan is 6 feet 2 inches tall. There are 2.54 centimeters in 1 inch. What is Jonathan’s height in centimeters?
Answer:
187.96
Step-by-step explanation:
yeah
Solve for x: 5x+2-10x=22
Answer:
X=-4
Step-by-step explanation:
5x-10x=22-2
-5x=20
x=-4
reciprocal of -9 1/9
Answer:
-9/91
Step-by-step explanation:
-9/91
Given: ΔABC ~ ΔAED and AD=7.5. What is the length of DC?
I think it's 2? I'm not sure though. Sorry.
Answer:
The length of DC is 2.5.
choose whether you would find the percent increase or percent decrease: The marching band had 304 students last year. This year, 322 students participate in band. *
PLSSSS HELP ILL GIVE BRAINLIST!!!
Answer:
Percent increase
Step-by-step explanation:
Since the number of marching band students increased from 304 to 322, you would find the percent increase.
You wouldn't find the percent decrease because the number of students increased.
Answer:
the percent has increased, and if your looking for the amount increase in percentage its 5.92%
Step-by-step explanation:
Who ever get this correct for me THANK YOU!!!!! Make sure you put them in ALL CAPS LETTERS PLS and You'll never get points from me Frl(for real) because I'm 9th grader and idk how to do this and it confusing to me so BE SPECIFIC!!!!!!!!
Answer:
DHGB
======================
1. D
-4x + 2y = 8 ⇒ -2x + y = 4 ⇒ y = 2x + 4Parallel line has same slope of 2y = 2x - 52. H
Slope is: (2-4)/(3-(-3)) = -2/6 = -1/3Perpendicular line has negative reciprocal slope: -1/3 → 3 y = 3x - 23. G
Slope is: (2 - (-2))/(0 - (-1)) = 4/1 = 4Parallel line has same lope of 4y = 4x - 74. B
3x + y = 1 ⇒ y = -3x + 1Perpendicular line has negative reciprocal slope: -3 → 1/3y = 1/3x + 2A group of 5 friends decide to set up a lemonade stand. They sell 48 cups of lemonade for $1.35 each. If they split the amount of money they made evenly, how much does each friend take home?
Answer:
Step-by-step explanation:
There are a couple of ways you could do this. The first and most obvious way is just to find out what the total amount is and divide by 5
48 cups * $1.35 / cup = $64.80 total
Now divide by 5
$64.80 / 5 = 12.96 for each person.
The other way to do it is just to divide 1.35 by 5 = 0.27
Now multiply by 48 to get each person's share.
0.27 * 48 = 12.96
Take your pick. The answer is the same either way.