Answer:
Step-by-step explanation:
the answer is 20248.59
The amount of money in the account after 14 years would be $20257.
What is compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods. Mathematically -
[tex]$A = P(1 + \frac{r}{n})^{nt}[/tex]
where -
{A} = final amount
{P} = initial principal balance
{r} = interest rate
{n} = number of times interest applied per time period
{t} = number of time periods elapsed
Given is that a person places $8620 in an investment account earning an annual rate of 6.1% compounded continuously.
The given formula is -
V = P[tex]e^{rt}[/tex]
From the question, we can write -
V = 8620 x [tex]e^{(0.061)(14)}[/tex]
V = 8620 x [tex]e^{0.854}[/tex]
V = 8620 x 2.35
V = 20257
Therefore, the amount of money in the account after 14 years would be $20257.
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Given the incomplete proof below, what is the missing reason for the statement in step 4?
Answer:
ASA Congruence Theorem
Step-by-step explanation:
Already,it has been stated and proved that two angles (<ABC and <CAB) and an included side (AB) in ∆ABC are congruent to corresponding two angles (<ABD and <DAB) and an included side (AB) in ∆ABD.
Therefore, based on the ASA Congruence Theorem, ∆ABC is congruent to ∆ABD.
The missing reason is "ASA Congruence Theorem"
12 times the number of feet
Answer:
12 feet
Step-by-step explanation:
Gianna is going to an amusement park the price of admission into the park is $40, and once she is inside the park she will have to pay $4 for every ride she rides on .how much money with Gianna have to pay in total if you goes on 12 rides? how much would she have to pay if she goes on R rides ?
Answer:
48
Step-by-step explanation:
Answer:
48$
r=4r?
Step-by-step explanation:
for 1.
4 x 12 = 48
for 2.
not too sure, its 4$ per ride so 4 i think
Write two properties of a transversal to two parallel lines. *
1. Two lines cut by a transversal line are parallel when the corresponding angles are equal.
2. Two lines cut by a transversal line are parallel when the alternate interior angles are equal.
PLS HELP
Find the area of a rectangle with base 2 yd and height 5 ft. (3 feet = 1 yard)
Answer:
30 sq ft
Step-by-step explanation:
2 yd = 6ft
6 x 5=30
P = ½ * a * h
a = 2 yd = 2 * 3 ft = 6 ft
h = 5 ft
P = ½ * 6 * 5 = 30 sq ft
A candle maker is ordering wax. Each small candle uses 12 ounces of wax. Each large candle uses 18 ounces of wax. The candle maker wants to make 42 small candles and 38 large candles.
Which answer is the most reasonable estimate of the total amount of wax needed?
700 ounces because 10 × 40 + 10 × 30 = 700
800 ouces because 10 × 20 + 20 × 30 = 800
1,200 ounces because 10 × 40 + 20 × 40 = 1,200
1,800 ounces because 10 × 20 + 40 × 40 = 1,800
Answer:
1200 Oz because 10 * 40 + 20 * 40 = 1200
Step-by-step explanation:
round 12 to 10 round 18 to 20 round 42 to 40 and 38 to 40
Help me find x value please.
Answer: D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
If one of the angles of a right triangle is 45*, then the other one will be the same. Therefore, both legs of the triangle will be equal as well.
The hypotenuse of a 45* - 45* -90* triangle is equal to x[tex]\sqrt 2[/tex], therefore x = [tex]\frac{5}{\sqrt{2} }[/tex]
The answer, when plugged into a calculator, will be D. [tex]\frac{5\sqrt{2} }{2}[/tex]
Internet sites often ask for a secret phrase to recover lost passwrds. Jason encoded a secret phrase using matrix multiplication. He multiplied the clear text code for each letter by the matrix:
The matrix representing the encoded text is:
Jason’s secret phrase is:
Clear text encoding:
Decoding a Message by Finding An Inverse
Answer:
cats rule dogs drool is correct ty<3
Step-by-step explanation:
Answer:
cats rule dogs drool
Step-by-step explanation:
just did it edge23
HELP ASAP! I’m very confused and need help! Thanks!
Answer:
Step-by-step explanation:
Ok so basically 3 is 153 degrees and every line is 180 degrees, so 180-153=27. So 3 and 2 make a line, 2 is 27 degrees and 4 and 3 make a line so that makes 4 -27 degrees. 1 is vertical to 3 and if 2 and 4 are 27 degrees and makes the lines with the other angles that equal 27 degrees then 1 is also 153 degrees.
^^
Sorry if this is hard to understand. Good luck! :)
Find the area brainliest will award answer quick
Answer:
9 square units
Step-by-step explanation:
1.5+3+2+1+1.5=9
In the diagram below, OP is circumscribed about quadrilateral ABCD. What is
the value of x?
A. 52
B. 50
C.90
D. 92
The value of x is 50 because, in a quadrilateral, the sum of the opposite angles is equal to 180 degrees. option (B) is correct.
What is quadrilateral?
It is defined as the four-sided polygon in geometry having four edges and four corners and two pairs of congruent sides.
We have:
In the diagram below, OP is circumscribed about quadrilateral ABCD.
In a quadrilateral, the sum of the opposite angles is equal to 180 degree
x + 20 + 110 = 180
x + 130 = 180
x = 50
Thus, the value of x is 50 because, in a quadrilateral, the sum of the opposite angles is equal to 180 degrees. option (B) is correct.
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6. What is the equation in slope-intercept form of the line that passes
through the points (-3,-1) and (2, 9)?
Answer:
y=2x+5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(9-(-1))/(2-(-3))
m=(9+1)/(2+3)
m=10/5
m=2
y-y1=m(x-x1)
y-(-1)=2(x-(-3))
y+1=2(x+3)
y=2x+6-1
y=2x+5
Solve For The Missing Variable In Each Figure. Give Exact Values.
Answer:
X= 10 I think
Step-by-step explanation:
A man owes $5000 on his credit card. The APR is 20%. If he doesn’t repay any of the debt, how much will he owe after 4 years.
Tyee answered 126 questions correctly on his multiple choice history final that had a total of 200 problems. What percentage of questions did Tyee answer correctly on the final exam?
Answer:
63%
Step-by-step explanation:
To convert fractions to decimals:
Divide the top of the fraction by the bottom
he got [tex]\frac{126}{200}[/tex] so
[tex]126[/tex]÷[tex]200=0.63[/tex]
To convert decimals to percentages:
multiply by 100 and add a "%" sign.
[tex]0.63[/tex]×[tex]100[/tex]=[tex]63[/tex]%
The percentage of questions Tyee answered correctly is P = 63 %
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the percentage of questions Tyee answered correctly be P
Now , the total number of questions = 200
The number of questions Tyee answered correctly = 126
So , P = number of questions Tyee answered correctly / total number of questions
On simplifying , we get
P = 126 / 200
P = 0.63
Therefore , the value of P is 0.63
Hence , the percentage is 63 %
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Solve the equation n + 75 = 155
Answer:
n = 80
Step-by-step explanation:
Just subtract 75 on both sides.
A cookie recipe calls for 3/4 cup of oatmeal . How much oatmeal is needed to make 3 batches of cookies ?
Answer:
2 1/4 cups of oatmeal. I think.
Step-by-step explanation:
2 and 1/4 i think im not positive
what is (x-8)(x+4) + (x-3)(x+9)
(x-8)(x+4)+(x-3)(x+9)
Remove parenthesis.
x-8+x+4+x-3+x+9
Then rearrange.
x+x+x+x+4+9-8-3
Now add/subtract.
4x+13-11
We still have combining to do...
4x+2
That's as far as it goes
---
hope it helps
an event that has probability 1
is said to be
Answer:
guaranteed to occur
Step-by-step explanation:
An event that has a probability of 1 or in other terms P(E) = 1 is said to be guaranteed to occur. This is basically stating that the event has a 100% chance of happening, meaning that no matter what the external factors turn out to be in the scenario, the event will occur regardless. 1 basically represents 100%, while lower values such as 0.5 represent 50% when dealing with these probabilities.
You spin a spinner with 8 equally likely spaces numbered 1 to 8. Event A is the
probability of lading on a prime number {2, 3, 5, 7). Event B is the probability of landing
on an odd number. What is An B?
O No Solution
O [1, 2, 3, 4, 5, 6, 7, 8}
O {3, 5, 7}
O {1, 2, 3, 5, 7}
10 pts
Answer:
A spinner has equal sections numbered 1-8. If you spin the spinner once, what is the probability that you will not get a 5? | Socratic A spinner has equal sections numbered 1-8. If you spin the spinner once, what is the probability that you will not get a 5?
Step-by-step explanation:
Pls help with this question I don't know the answer. Don't put wrong answers pls.
Answer:
-2 I believe. because the 1st exponent would make it 9, and then you'd remove 2
Step-by-step explanation:
I hope this is correct and helpful, I tried my best! <3
A merry-go-round can hold 36 people on each 5-minute ride. How many people would have received a ride on the merry-go-round in an hour?
Answer:
432
Step-by-step explanation:
The hour have 12 5 min (12*5=60)
So 36*12=432
I need help on the person 2 part of my assignment it’s due today please help
Answer:
Step-by-step explanation:
d is on a line with s so they are supplementary d+80 = 180 so d has to be 100
s and h are equal, therefore vertical angle x is also 80
Then 80 + 60 + y = 180 since they are on a straight line so y=40
Check the spelling on now - change to know
What do I need to know
The perimeter of a rectangle is represented by 4x^2+5x-2. The perimeter of a smaller rectangle is represented by x^2+3x+5. Which polynomial expression represents how much larger the first rectangle is than the smaller rectangle ?
PLease help !!!!
a is correct
Step-by-step explanation:
Area of Bigger rectangle = 4x2 + 5x - 2
Area of Smaller rectangle = x2 + 3× + 5
diff. = ( 4x2 + 5x - 2) - (x2 + 3x - 5)
= 4x2 + 5x -2-x2 - 3x - 5
= 3x2 + 2x - 7
There are 64 pets in Prodigy.
If Chris has caught 50% of them, how many has he caught?
please help me I have zero clue what I'm doing!
Answer:
6
Step-by-step explanation:
10-4 is 6 and they are on the same x axis
write an expression for the operation below. s subtract 8.
Answer:
S - 8
Step-by-step explanation:
S - 8.
hope this helps! Have a great day!
Kira was traveling at 55 miles per hour. How many hours would it take her to travel 275 miles?
Answer:
5 hours
Step-by-step explanation:
275/55=5
Susan's pizzeria made 7 pepperoni and 20 pizzas without pepperoni. What is the ratio of numbers of pizzas with pepperoni to the number of pizzas without pepperoni?
Answer:
7/27 pizza's were pepperoni and 20/27 pizzas did not have pepperoni
Step-by-step explanation: