Lily invested $12,300 in an account for 15 years that compounds interests continuously at rate of 3.75%. What is her account worth after that time?
Answer:
3,075
Step-by-step explanation:
This equation calculates the value, P, of an account with an initial deposit of P0 and an interest rate of r compounded n times per year after t years.
P = P0 (1+r/n)nt
Vanessa deposits $700 in a savings account with an interest rate of 2% compounded monthly. Assuming she neither adds to nor withdraws from the account, what will be the approximate value of the account in 7 years?
А. $889.57
B. $887.77
C. $714.13
D $805.10
Answer:D
Step-by-step explanation:
Plug in 700 for P0, .02 for r, 12 for n and n, and 7 for 5.
Approx value of the account in 7 years will be 805.10$.
What is compound interest?Simple interest and compound interest are the two methods for calculating interest. Simple interest is computed on a loan's principal, or initial loan amount. Compound interest is sometimes referred to as "interest on interest" since it is computed using both the principal and the accrued interest from prior periods.
Given that equation calculates the value, P, of an account with an initial deposit of P0 and an interest rate of r compounded n times per year after t years.
P = P0 (1+r/n)nt
Vanessa deposits $700 in a savings account with an interest rate of 2% compounded monthly. Assuming she neither adds to nor withdraws from the account.
Hence, initial deposit:$700.00
Interest rate:2% yearly
Time:7 years
Compounding: Monthly so n = 12
put these values in the given equation. we will get P = 805.10
Therefore the value of the account in 7 years will be 805.10$.
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You are rolling a pair of dice what's is the probability of getting different numbers on both dice
Answer:
[tex]Pr = 0.833[/tex]
Step-by-step explanation:
Given
A roll of a pair of dice
Required
The probability of getting different numbers
First, list out the sample space;
We have:
[tex]S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6),(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6),[/tex]
[tex](3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6),(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)[/tex]
[tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6), (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)\}[/tex]
The total is:
[tex]Total = 36[/tex]
The outcomes of the different numbers are:
[tex]Different = \{(1, 2) (1, 3) (1, 4) (1, 5) (1, 6),(2, 1) (2, 3) (2, 4) (2, 5) (2, 6),[/tex]
[tex](3, 1) (3, 2)(3, 4) (3, 5) (3, 6),(4, 1) (4, 2) (4, 3) (4, 5) (4, 6)[/tex]
[tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 6), (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) \}[/tex]
The total is:
[tex]Different = 30[/tex]
So, the probability of having a different outcome is:
[tex]Pr = \frac{Different}{Total}[/tex]
[tex]Pr = \frac{30}{36}[/tex]
[tex]Pr = 0.833[/tex]
Help!
△LMN is the result of a reflection of △XYZ across the y-axis.
Which angle in the image corresponds to ∠X in the pre-image?
∠L
∠M
∠N
Answer:
∠X in the pre-image will be equal to ∠L in the main image
Step-by-step explanation:
△LMN is the result of a reflection of △XYZ which means △LMN is the mirror image △XYZ
hence, the left of △XYZ will be equivalent to the right of △LMN and the right of △XYZ will be equivalent to the left of △LMN
Hence, ∠X in the pre-image will be equal to ∠L in the main image
6. Find the 20 ^ (th) term of the arithmetic sequence. 42,28,14,0,-14,...
Step-by-step explanation:
[tex]U _{ {20}^{th} } = a + (n - 1)d \\ = 42 + (20 - 1) \times 14 \\ = −252[/tex]
Hannah is buying a shirt in a state where the sales tax is
6.25%. The price of the shirt is $14.99. By which number
should Hannah multiply $14.99 to determine the total sales
tax?
Answer:
The number is 0.0625
What is the distance between points A and B? Enter your answer, rounded to the nearest tenth, in the box. units
Answer:
Distance between A and B = 10.4 unit (Approx.)
Step-by-step explanation:
Given:
Coordinate of A = (-5 , 2)
Coordinate of B = (5 , 5)
Find:
Distance between A and B
Computation:
Using distance formula
Distance between two point = √(x1 - x2)² - (y1 - y2)²
Distance between A and B = √(-5 - 5)² - (2 - 5)²
Distance between A and B = √(-10)² - (-3)²
Distance between A and B = √100 + 9
Distance between A and B = √109
Distance between A and B = 10.4403
Distance between A and B = 10.4 unit (Approx.)
Answer:
10.4
Step-by-step explanation:
took the k12 test (:
Find the area of the figure.
PLS I NEED HELP FAST I BEG YOU!
Divide £104 in the ratio 3:5
Answer:
39:65
Step-by-step explanation:
104/(3+5) = 104/8 = 13 13(3):13(5) = 39:65
Help Plis.........................
Answer: Herba has a greater balance and Nour has more debt.
Step-by-step explanation: Herba's account balance is a positive number and is clearly greater than Nour's account balance; therefore, Herba has a much greater balance. On the other hand, Nour's account balance is a negative number and is clearly less than Herba's; therefore, Hour is in more debt since he has to pay back the money that he borrowed.
Select the line that is equivalent to 5x +2y=6.
Answer: It will be C, 5x + 2y = 6 is equivalent to y = -5/2x + 3
The equivalent equation for the given is y=-5/2x+3. Therefore, option A is the correct answer.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
The given equation is 5x +2y=6.
The equivalent equation is 2y=-5x+6
y=-5/2x+6/2
y=-5/2x+3
Therefore, option A is the correct answer.
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Select the line that is equivalent to 5x +2y=6.
A) y=-5/2x+3
B) y=5/2x-3
C) y=-2/5x+6/5
D) y=2/5x-6/5
One day, a group of people had a driving test.
40 of this group were men and the rest were women.
5/3 of the men and
3/2 of the women passed the driving test.
The number of men and women that passed the driving test was the same.
Work out the number of women that took the driving test that day.
Please some help would be greatly appreciated with this question as it is imperative to me that i solve it
thanks
Answer:
every other night another $1 getting made
Step-by-step explanation:
Answer:
eeeeeeeeeeee nose
Step-by-step explanation:
(4x - 20) I really need help on this
Answer:
-80
Step-by-step explanation:
To find x, set the equation equal to zero
4x-20=0
the next step is to isolate the variable, you can do this by adding 20 to both sides, remember when you change one side of the equal sign you must do the same to both
4x=20
now you can divide by 4 to get x by itself, again divide both sides of the equation
4x/4=20/4
x=5
After doing the division we see that x is equal to 5, and you can always check to see if your answer is correct by plugging it back into the equation:
4(5)-20=0
20-20=0
Hope this helps :)
Find the perimeter of an isosceles triangle with a base of 48 in and a height of 14 in.
will mark brainlist dont give me that link
Answer:
I think the answer is 103.6
Step-by-step explanation:
divide the base by 2, which will give you 24 and find the hypoteneuse with Pythagorean theorem
(14)^2 + (24)^2 = /742 = 27.8
27.8x2 + 48 = 103.6
hope that answers your question
Kaitlin walks 2.5km every day. How far does she walk in 5 days?
Answer:
12.5km
hope this helps
have a good day :)
Step-by-step explanation:
Answer:12.5Km
Step-by-step explanation:
You do 2.5 x 5
WILL GIVE BRAINLIEST TO THE RIGHT ANSWER
Tabitha and Paco are in a video game room that consists of 10 games. How many different ways can they play all 10 games if they play each game once?
A.362,880
B.20
C.3,628,800
D.55
Answer:
Its C
Step-by-step explanation:
The product of two numbers is 75
one of the two numbers is a perfect squar. The other is a prime number. Find the sum of the two numbers.
Answer: 8
Step-by-step explanation: numbers are 5 and 3.
5²·3 =75
PLEASE HELP
What is the slope of the line shown below? (Enter your answer as a decimal if
necessary.)
(1, 2)
(-1, -4)
Answer:
-4-2/-1-1=-6/-2= 3
So the answer is 3
Translate into PROP, using the conventions.
a. Pia is guilty only if Raquel is.
b. Pia is guilty if Raquel is.
c. If Quinn or Raquel is guilty, then Pia is too.
d. If neither Pia nor Quinn is guilty, then neither Raquel nor Stan is guilty.
e. If Pia is guilty, then if Raquel is guilty then Quinn is guilty.
Answer:
The associated PROPS are as follows:
a:[tex]P\rightarrow R[/tex]
b: [tex]R\rightarrow P[/tex]
c:[tex](Q \vee R)\rightarrow P[/tex]
d:[tex]\sim(P \lor Q)\rightarrow \sim(R \lor S)[/tex]
e:[tex]P\rightarrow (R\rightarrow Q)[/tex]
where
P is Pia is guilty
R is Raquel is guilty
Q is Quinn is guilty
S is Stan is guilty
Step-by-step explanation:
When only if is used the conditional antecedent and consequent are interchanged thus the first one is written as such.
In addition to this, the different symbols are used such that their logical meanings are clear.
Pls help if u cannnnnnnnnn
Answer:
V≈2144.66m³
Step-by-step explanation:
V=4 /3πr^3
d=2r
Solving for V
V=1/ 6πd^3=1/ 6·π·16^3≈2144.66058m³
Hope this helped!!!
Answer:
2143.57 m³
Step-by-step explanation:
Formula of volume of sphere
[tex] = \frac{4}{3} \times π \times {r}^{3} [/tex]
The volume of the sphere
[tex] = \frac{4}{3} \times 3.14 \times {(16 \div 2)}^{3} [/tex]
[tex] = \frac{4}{3} \times 3.14 \times {8}^{3} [/tex]
[tex] = \frac{6430.72}{3} [/tex]
[tex] = 2143.573333...[/tex]
= 2143.57 m³ (rounded to the nearest hundredth)
Find the value of y. It’s geometry hw! plz only answer if you know how to do this. thank you
Answer:
48
Step-by-step explanation:
Imagine that all of the other angles within the circle are gone except for the angle "y".
Now kindly look at the image.
We would be left with angle y as the inscribed angle and 96° for the measure of the intercepted arc.
The relationship between intercepted arcs and inscribed angles is that the inscribed angle is equal to half the measure of the intercepted arc.
So y is equal to half of the measure of its intercepted arc. ( Which in this case has a measure of 96° )
so y = [tex]\frac{96}{2}[/tex]
96/2=48
Hence the value of y is 48
numbers greater than 10 from 1 to 15
bro just count?????? 11, 12, 13, 14, 15??????
Answer:
11,12,13,14,15
Step-by-step explanation:
The number scale goes like this 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 so look at the numbers in between 10 and 15 except dont count in ten because they have to be greater the 10. so therefor 11,12,13,14,15 :)
Anybody know the answers?
Answer:
1 adult = 16 students
a = 16x
Step-by-step explanation:
Which expression says," 11 less than twice n?"
(1) 11 - 2n
(2) 11 + 2n
(3) 2n - 11
(4) 2n + 11
Answer:(1) 11-2n is the correct answer
Step-by-step explanation:
hope it helps youIn triangle ABC, m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘.
What is the value of x?
Answer:
x = 23
Step-by-step explanation:
A triangle contains 180°. So, simply create the equation m∠A + m∠B + m∠C = 180° and solve for x.
2x + 3x + 1 + 3x - 5 = 180
8x - 4 = 180
8x = 184
x = 23
The value of x in triangle ABC, where m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘ is 23.
What is triangle angle sum theorem?According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.
In triangle ABC,
m∠A=(2x)∘, m∠B=(3x+1)∘, m∠C=(3x−5)∘.As, the sum of all the angles of triangle is equal to the 180 degree. Thus,
[tex]m\angle A+m\angle B +m\angle C=180^o\\(2x)+(3x+1)+(3x-5)=180\\2x+3x+3x=180+5-1\\8x=184\\x=\dfrac{184}{8}\\x=23^o[/tex]
Thus, the value of x in triangle ABC, where m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘ is 23.
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The bar graph shows a company’s income and expenses over the last 5 years. Which statement is supported by the information in the graph?
A) The income in Year 5 was twice the income in Year 1
B) The combined expenses in Years 3 and 4 were more than the combined income in Years 3 and 4
C) Expenses have increased each year over the last 5 years
D) The combined income in Years 1, 2, and 3 was equal to the combined expenses in Years 1, 2, and 3
Answer:
B
Step-by-step explanation:
Kinda hard to explain but I'm pretty sure it's B
Write and solve a proportion to find the missing value. Then find the measure of \overline{LT}
LT
.
35
Step-by-step explanation:
4−(3−5)=.
does anyone know what this is ??
Help ASAP
What is the highest common factor of 180 and 168
Answer:
Its 12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
make a factor tree, find the product of the prime factors, it will be 12.
Select all that are equal to 3. log28 log416 log327 log101,000
Answers on edg. are:
log2 8
log3 27
log10 1,000
Step-by-step explanation:
Yo just trust me ight