Damien deposited $250 in an account that earned 3.75% interest compounded annually.
He did not make additional deposits or withdrawals.
What will be the balance in this account at the end of 4 years?
Answers
250(1+3.75/100)^4
=289.66260375977
Nearest to =289.7
The balance in his account at the end of 4 years will be $289.67.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Principal amount (P) = $250
Rate (r) = 3.75%
Time (t) = 4 years
Now,
Since, We know that;
⇒ [tex]A = P (1 + \frac{r}{100} )^t[/tex]
Where, A is the future amount.
P is the principal amount.
t is the time.
r is the rate.
Thus, By substitute all the values, we get;
⇒ [tex]A = P (1 + \frac{r}{100} )^t[/tex]
⇒ A = 250 (1 + 3.75/100)⁴
⇒ A = 250 (103.75/100)⁴
⇒ A = $289.67
Thus, The balance in his account at the end of 4 years will be $289.67.
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Related Questions
If adam’s credit card has an apr of 14.63%, what is adam’s balance at the end of june? a. $629.42 b. $629.66 c. $627.27 d. $628.40
Answers
The balance in Adam's account at the end of June which has the credit card with an apr of 14.63% is $627.27.
What is monthly payment?Monthly payment is the payment which has to paid against the loan amount or the borrowed money calculated with interest rate.
The Adam’s credit card has an Apr of 14.63%,The table below shows his use of that credit card over three months.
Date Amount ($) Transaction Remaining Balance ($) 4/1 626.45 Beginning balance 626.454/10 37.41 Purchase 663.864/12 44.50 Purchase 708.365/3 65.50 Payment 642.865/16 24.89 Purchase 667.755/20 104.77 Payment 562.986/6 23.60 Payment 539.386/10 15.00 Purchase 554.386/14 51.85 Purchase 606.23For the purchase add the previous balance and for payment subtract the previous balance. I have mentioned another column for remaining balance in the above table.
The total of this transaction when multiplied with number of days, we get the total balance, 56498.48.
Now the monthly average balance is,
[tex]m=\dfrac{56498.48}{90}\\m=627.76[/tex]
Thus, the balance in Adam's account at the end of June which has the credit card with an Apr of 14.63% is near to $627.27.
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Adam’s balance at the end of June is $629.42.
What is the adjusted balance method?The adjusted balance method is an accounting method that bases finance charges on the amount(s) owed at the end of the current billing cycle after credits and payments post to the account.
Balance at the end of April = 626.45 + 37.41 + 44.50 = $708.36
Interest levied on $708.36= 708.36* (14.63/12) * 1/100
Interest levied on $708.36 = $8.64
So, balance on May 1st= 708.36+ 8.64 = $717
Balance at the end of May = 717-65.50+24.89-104.77 = $571.62
Interest levied on $571.62 = $571.62 * (14.63/12) * 1/100
Interest levied on $571.62=$6.97
So, balance on June 1st = $578.59
Balance at the end of June = 578.59-23.60 + 15+51.85 = $621.84
Interest levied on $621.84 = $621.84* (14.63/12) * 1/100
Interest levied on $621.84 =$ 7.58
So balance at the end of the june = 621.84 + 7.58 = $629.42
Therefore, Adam’s balance at the end of June is $629.42.
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In an effort to protect the environment, Steve is trying to get the citizens of his hometown, Yardley, to waste less water. A study indicated that they wasted 75,900 gallons of water last year and 44,022 gallons of water this year. What is the percent of decrease in the amount of water wasted yearly?
Answers
Answer:
42%
Step-by-step explanation:
Water wasted last year = 75,900 gallons
Water wasted this year = 44,022 gallons
Percentage decrease in the amount of water wasted yearly = (Water wasted last year - Water wasted this year) / Water wasted last year × 100
= (75,900 - 44,022) / 75,900 × 100
= 31,878 / 75,900 × 100
= 0.42 × 100
= 42%
Percentage decrease in the amount of water wasted yearly is 42%
2, 20, 4, 40, 8, 80, 16,
what’s the pattern
Answers
Answer:
each one digit number is becoming a ten digit number
Step-by-step explanation:
help please please help me
Answers
Answer:
It should be -1
Step-by-step explanation:
Since y=f(x) and f(x)=2, then you're y=2. So you just have to find (?,2).
Can someone help with this, please?
Answers
Answer:
no. will be 12 and 30--------------------------------------------
In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If
2
7
of the drink is apple juice and
1
2
is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form.
Answers
A 50 -foot ladder is leaning against a building. The base of the ladder is 30 feet from the side of the building. How high does the ladder reach along the side of the building?
Answers
Answer:
40 ft
Step-by-step explanation:
I attached a pic showing work !!
A patient has surgery for a knee replacement. Operating room charges $3,286.00, anaesthesia is $1,554.80, the charge for a hospital room for 3 days is $1,952.42 per day, medications total $1,297.59, and miscellaneous charges. THe insurance company pays $10,187.84. What is the balance the patient must pay.
Answers
Answer:
510.82 dollars
Step-by-step explanation:
Answer:
1807.81
Step-by-step explanation:
multiply 1952.42 by 3=5857.26
add the rest of the numbers=11995.65
subtract 10187.84=1807.81
Help please, I promise to give brainliest!!!!!!!
Answers
Answer:
sure what do you need help with?
please help me
A. What is the formula for exponential growth?
B. What does each variable mean?
Answers
Answer:
a) f(x) = a(1 + r)x
Step-by-step explanation:
exponential growth or decay function is a function that grows or shrinks at a constant percent growth rate. The equation can be written in the form f(x) = a(1 + r)x or f(x) = abx where b = 1 + r.
Step-by-step explanation:
A. Exponential growth or decay function is a function that grows or shrinks at a constant percent growth rate. The equation can be written in the form f(x) = a(1 + r)x or f(x) = abx where b = 1 + r.
HELP!! ASAP PLEASE!! BRAINLIEST BEING GIVEN!
Answers
Answer:
b
Step-by-step explanation:
the exponent has to be 7 for the first 2. and then the bigger decimal will be 7.2 so yeah
what is the basic numbers of pi
Answers
Answer:
3.14
Step-by-step explanation:
Answer:
3.14
Step-by-step explanation:
Your welcome if I helped plz add me as brainiest!
please help quickly
Write a scenario to go with this equation. 5x - 2 = 28.
Answers
Answer:
Evelyn brought "x" apples for 5 dollars each. Then she has a discount for 2 dollars. The final total is 28. If "x" equals the number of apples, how many apples did she buy?
Ej bisects ZDEF, MZDEJ = 5x +7,
mZJEF = 8x – 8.
What is the measure of
Answers
Step-by-step explanation:
rx7cr7rctcc7ttc7tc7tv7g7tc7tf74fitc7rifrtxr8c74ci8yc8rdurxuec7rc3xurx4d63ufxufxits3663esufcitcitcitcitc8tct8
Dana is planning on taking a two-year leave of absence from her job to pursue a graduate degree. What
balance does she need to have in an annuity that pays 2.4% annual interest in order to receive a monthly
payment of €2100? Give your answer correctly rounded to three significant figures.
Answers
Answer:
THATS DUMB BRUH WORK TO MAKE $$$$$$
Step-by-step explanation:
she always adds 3 cups of fertilizer for every 8 cups of soil. She filled a large pot with 24 cups of soil for a ficus plant.
How many cups of fertilizer should Eliana add to the pot?
Answers
Answer:
9
Step-by-step explanation:
based on the info we have, calculate: 24 x 3 / 8
Answer: 9
The function h(x) shown is the result of adding two
functions, f(x) and g(x).
Which statement could be used to describe the
functions?
y
2
2
O Both original functions have a domain of (-00,00).
O Both original functions have a domain of [-co, 2).
O The domain of f(x) is [2,00), while the domain of g(x)
is (-0,2).
The domain of f(x) is (-0, 2], while the domain of g(x)
is [2,00)
-10 -8 -6
4
6
8
10
-2.
-6
-8
-10
-12
14
16
Answers
Answer:
The domains of both f(x) and g(x) must be (–∞, ∞).
Step-by-step explanation:
-Ash
:p
The both original functions have a domain of ( -∝ , ∝ )
What are domain and range?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) is a parabolic function where the domain of the function ranges from
And , domain of a parabolic function is all real numbers, which means that the function is defined for every possible input value
Hence , the domain is ( -∝ , ∝ )
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1 dollar + 4 quaters + 3 dimes x 3
Answers
Answer:
$6.90
Step-by-step explanation:
4 quaters = $1
$1 x 3= 3
3 dimes= 30 cents
3+3+.90= $6.90
77x10= what 10 x77 77x10
Answers
Answer: 770
Step-by-step explanation:
It would= 10 x 77 and 77 x 10 it=770 because you always add a zero like this.
7 x 10=70
70 x 10=700
700 x 10=7,000
7,000 x 10=70,000
Or another example take 8
8 x 10=80
8 x 100=800
8 x 1,000=8,000
8 x 10,000=80,000
Hope it helps have a great day:)
Please help if you know the answers!
Choose the equation and the slope of the line that passes through (4, -2) and
is perpendicular to the x-axis,
A. Equation; x = 4
B. Equation; x = -2
C. Slope undefined
D. Slope: 0
E. Equation: y = 4
F. Equation: y = -2
Answers
Answer:a,b,e,f
Step-by-step explanation:
Which of the following rational functions is graphed below?
Answers
Answer:
F(x) = 1/x^2
Step-by-step explanation:
F(x) = 1/x^2 is
y = 1/x^2
graph goes up to 10 each side
plug in 1,2,3,4,5,6,7,8,9,10 for x and see what y looks like
when x is 1,2,3,4,5,6,7,8,9,10
y is 1,1/4,1/9,etc
For solving a side in right triangles how do we know if it’s multiplying or dividing?
Answers
Explanation:
It can be misleading to try to think in terms of "multiplying" or "dividing". There is a tendency to try to remember a procedure for solving problems. It can be more useful to remember the relationships involved in a problem.
Once you have an equation based on the relationships, you make use of the rules of algebra to solve it. Sometimes multiplication is involved; sometimes division.
__
The trig relations are summarized in the mnemonic SOH CAH TOA. This is intended to remind you ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
__
The rules of algebra tell you that these equations can be multiplied by the denominator to eliminate the fractions:
Hypotenuse × Sin = Opposite
Hypotenuse × Cos = Adjacent
Adjacent × Tan = Opposite
Solving any of these equations may involve multiplication, or it may involve division, depending on what you have and what you're solving for.
__
In short, remember SOH CAH TOA and the general rules of solving equations. That will tell you whether you need to multiply or divide.
A box sits on a table. A short arrow labeled F subscript N = 100 N points up. A short arrow labeled F subscript g = 100 N points down. A long arrow labeled F subscript P = 75 N points right. A short arrow labeled F subscript f = 10 N points left. What is the net force acting on the box? 285 N 185 N 85 N 65 N.
Answers
A box sits on a table. A short arrow labeled F subscript N = 100 N points up. A short arrow labeled F subscript g = 100 N points down. A long arrow labeled F subscript P = 75 N points right. A short arrow labeled F subscript f = 10 N points left. Then net force acting on the box IS 65N
What is net force?Net force is final force acting on any object .
Here given that
A box sits on a table. A short arrow labeled F subscript N = 100 N points up. A short arrow labeled F subscript g = 100 N points down. A long arrow labeled F subscript P = 75 N points right. A short arrow labeled F subscript f = 10 N points left
So we can see it in diagram that force in upper direction and lower direction is same 100N so this force will be cancelled out
Now force in right side is 75N and in left side force is 10N
So net force = (75-10)=65N in right side
A box sits on a table. A short arrow labeled F subscript N = 100 N points up. A short arrow labeled F subscript g = 100 N points down. A long arrow labeled F subscript P = 75 N points right. A short arrow labeled F subscript f = 10 N points left. Then net force acting on the box IS 65N
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Mariah needs to buy soda for a backyard barbecue. She invited 50 people and expects each person to drink two cans of soda. If each case of soda contains 12 cans, how many cases should Mariah buy?
a).10
b).9
c).7
Answers
Answer: 9
Step-by-step explanation:
50 x 2= 100 (this tells you how much soda is going to be drank it total)
100/12 = 8.3 (this tells you how many cases you should buy, its 8.3 so you would need to round up to 9.)
QUADRATICS - 20 Points// Reported if blank answer
The equation 3x + bx + 3 = 0 has one real solution. What must be true about b?
Answers
Answer:
No solutionStep by Step Solution
STEP1:
Solving a Single Variable Equation:
1.1 Solve -xb+3x+3 = 0In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.
In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.
No solutions found
Can someone help me please
Answers
E is the middle of [AC]
so AE = 1/2 x AC
then
4x = 1/2 * (6x + 5)
4x = 3x + 5/2
x = 5/2
x = 2,5
Answer:
[tex]x=\dfrac52[/tex]
Step-by-step explanation:
In a parallelogram, the diagonals bisect each other. This means that the diagonals are divided into 2 equal parts by the other diagonal.
Therefore,
[tex]\implies AE =\dfrac12 AC[/tex]
[tex]\implies 4x=\dfrac12(6x+5)[/tex]
To solve:
multiply both sides by 2:
[tex]\implies 8x=6x+5[/tex]
subtract 6x from both sides:
[tex]\implies 2x=5[/tex]
divide both sides by 2:
[tex]\implies x=\dfrac52[/tex]
6 friends go to the movies. Tickets cost $12 and each person buys popcorn. They spend $156 altogether. Write and solve an equation to find the cost of one p, popcorn. Be sure to include the equation as part of your answer.
Answers
Answer:
p = 14
Equation:
[tex]156=12x+6p[/tex]
Step-by-step explanation:
Set up the equation:
Let x = # of friends that went to the movies
Let p = cost of 1 popcorn
[tex]156=12(6)+6p[/tex]
[tex]156=72+6p\\84=6p[/tex]
Divide both sides by 6
[tex]p=14[/tex]
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Solve for h:
h-(-2.22)=-7.851
Answers
Answer:
h= -10.071
Step-by-step explanation:
- times a - equals positive: h+2.22= -7.851
move the 2.22 to the right side and change the sign to a negative: h= -7.851 -2.22
subtract -7.851-2.22= -10.071
h= -10.071
How many numbers are 3 units away from 0?
Answers
Answer:
2
-3 and 3
these are the only numbers that are 3 numbers away from zero
Hope This Helps!!!
Write an equation for the situation:
A number x decreased by 8 is the same as 20.
Answers
Answer:
x - 8 = 20
Step-by-step explanation: