On your 16th birthday, you open a savings account with $1000. The account pays 4% compound interest. How much will be in the account on your 50th birthday (the beginning of the 35th year in the account)? i don't really understand compound interest that well
Answer:
Approximately $4946
Step-by-step explanation:
The compound interest can be determined by:
Compound interest = P [tex](1 + r)^{T}[/tex]
Where: P is the principal, r is the rate and T is the number of years.
Given that: P = $1000, r = 4% and T = 34 years, then;
Compound interest = 1000 [tex](1 + \frac{4}{100}) ^{34}[/tex]
= 1000 [tex](1 + 0.04)^{34}[/tex]
= 1000 [tex](1.04)^{34}[/tex]
= 1000 x 3.79431
= 3794.31
Compound interest ≅ $3794
The amount that would be in the account = Principal + interest
= $1000 + $3794
≅ $4794
A baseball player starts the season with 77 career home runs. Ten games into the
season, he has hit 2 home runs. Assume he continues at this pace. Write an
equation for the number of career home runs he has hit. How many career home
runs would you expect him to have at the end of the season (162 games)?
If there are a total of 162 games, and every then games the player hits 2 home runs, we can divide the total amount of games by 10 then multiply the quotient by 2.
162 / 10 is approximately 16.
16 × 2 = 32
32 + 77 = 109 career home runs
Using the slope intercept relation, the required equation and the number of home runs at season end would be ;
y = 0.2x + 77109Recall :
y = bx + cc = initial number of hime runs = 77b = slope y = total career home runs x = number of games playedSlope, b = 2 home runs per 10 games = 2/10 = 0.2
The expression can be represented thus:
y = 0.2x + 77Number of home runs at the end of the season :
x = 162
y = 0.2(162) + 77
y = 32.4 + 77
y = 109.4
y = 109
Hence, Total number of hime runs would be 109.
Learn more : https://brainly.com/question/3565320
I need some help with (−3f−5f+9)−(−6f+2)
Answer:
the correct answer would be -2f+7
Richard and Teo have a combined age of 41. Richard is 11 years older than twice Teo's age. How old are Richard and Teo?
Richard is years old, and Teo is years old.
(Type whole numbers.)
Richard = R & Teo = T
Richard & Teo are combined 41 it means R + T = 41
R = 8 + 2T
R + T = 41 #1
R = 8 + 2T #2
replace 2 in 1
8 + 2T + T = 41
8 + 3T = 41
3T = 41 -8 = 33
T = 11
R = 8 + 2*11 = 30
result = richard is 30 & teo is 11 years old.
2 times of Teo is 22
and 8 years older it means + 8
= 30
If f(x) = x3 – 1 and g(x) = 2x - 1, which choice is equivalent to g(f(x))?
A)
x3 - 3
B)
2x3 - 3
)
2x3 - 2
D)
223 - 1
The equivalent function of g(f(x)) for the given function is 2x³ - 3.
Function composition is an operation × that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g(f(x)). In this operation, the function g is applied to the result of applying the function f to x.
We have been given that
f(x) = x3 – 1
g(x) = 2x - 1
and find out g(f(x)) =?
The notation for function composition is h = f • g or h(x) = (f • g)(x) and is read as 'f of g of x'. The procedure is called composition because the new function is composed of the two given functions f and g, where one function is substituted into the other.
g(f(x)) = 2(f(x))- 1
Put the value of f(x) in the equation
g(f(x)) = 2( x³ - 1) -1
g(f(x)) = 2 x³ - 2 -1
g(f(x)) = 2 x³ - 3
Hence , For the given function, 2x3 - 3 serves as the corresponding function of g(f(x)).
To learn more about Composition function
https://brainly.com/question/10687170
#SPJ1
what is the point slope form of a line that has a slope of 3 and passes through point (1,4)?
While creating your résumé, what should you do before making a final copy to fix any typos or errors?
Answer:
you could ask a friend or someone you are close to, to proof read it. You could also but it through Grammarly to find all errors that someone could just overlook.
CAR TRAVEL One car travels about 28.5 miles on each gallon of gas. Suppose the average price of gas is $2 per gallon. About how much would the gas for a 978 mile trip cost? (p. 28)
170.04 in standard form is?
Answer: 0
Step-by-step explanation:
Helps me solve this problem please
Answer:
6Step-by-step explanation:
2x - 3x + 20 + 5x - 40 = 4 combine like terms
(2x - 3x + 5x) + (20 - 40) = 4
4x - 20 = 4 add 20 to both sides
4x = 24 divide both sides by 4
x = 6
0.75x+4x-5 step by step
Answer:
4.75x-5
Step-by-step explanation:
Answer:
4.75x - 5
Step-by-step explanation:
Step 1: Combine Variables
0.75x + 4x = 4.75x
Simplified - 4.75x - 5
Graph y > 2x - 3 , Is (3 , -1) a possible solution to the inequality graphed above?
Answer:
No it cant
Step-by-step explanation:
(3,-1) is not a possible solution for the equation y > 2x-3
The points that touch the x and y intercept are (1.5,0) and (0,-3)
In order to solve for the variable in the equation 1 minus (x + 2) + 2 x = 5 (2 x minus 5) minus x, Mikel first applies the distributive property. Which equation is a result of this step? 1 minus x + 2 + 2 x = 10 x minus 5 minus x 1 minus x minus 2 + 2 x = 10 x minus 25 minus x 1 minus x minus 1 + 2 x = 10 x minus 25 minus x 1 minus x minus 1 + 2 x = 10 x minus 5 minus x
Answer:
1-x-2+2x = 10x-25-x
Step-by-step explanation:
The given equation is as follows :
1-(x+2)+2x=5(2x-5)-x
We need to solve the above equation.
Firstly opening bracket off LHS and applying distributive property at RHS.
1-x-2+2x=5(2x)-5(5)-x (Distributive property :a(b+c) = ab+ac)
1-x-2+2x = 10x-25-x
So, the correct option is (B) i.e. 1 minus x minus 2 + 2 x = 10 x minus 25 minus x.
Answer:
It's b
Step-by-step explanation:
I got it right on edge
Javier asks his mother how old a tree in their yard is. His mother says, "The sum of 10 and two-thirds of that tree's age, in years, is equal to 50." Javier writes the equation (10 + two-thirds) a = 50, where a is the tree's age in years. His equation is not correct. What error did he make?
Answer:
His error is adding 10 and 2/3 before multiplying by a(age of the tree)
Step-by-step explanation:
The sum of 10 and two-thirds of that tree's age, in years, is equal to 50.
Correct equation
Sum = addition (+)
two-thirds = 2/3
The tree's age = a
10 + 2/3a = 50
2/3a = 50 - 10
2/3a = 40
a = 40 ÷ 2/3
= 40 × 3/2
= 60
a = 60 years
Javier writes the equation
(10 + two-thirds) a = 50
(10 + 2/3)a = 50
(30+2/3)a = 50
32/3a = 50
a = 50 ÷ 32/3
= 50 × 3/32
= 150/32
a = 150/32
His error is adding 10 and 2/3 before multiplying by a(age of the tree)
Answer:
His error is adding 10 and 2/3 before multiplying by A...
…So option A is your answer.Hope it helps!The lengths of the sides of a quadrilateral are 4 consecutive even integers.
The perimeter of the quadrilateral is 20 inches.
What is the length of the longest side?
Answer: 8 inches
Step-by-step explanation:
A quadrilateral is a shape with four sides. Since the lengths of the sides of the quadrilateral are 4 consecutive even integers, let them be represented by a, a+2, a+4 and a+6.
We then equate the side to the perimeter. This will be:
a + a+2 + a+4 + a+6 = 20
4a + 12 = 20
4a = 20 - 12
4a = 8
a = 8/4
a = 2 inches
The length of the longest side will be:
= a + 6
= 2 + 6
= 8 inches
Find the value of x and y
Answer:
(5x+4)=114(vertically opposite angle)
5x=114-4
x=110/5
x=22
(3x-24)+(2y)+144=180(sum of straight line angle)
(3X22-24)+(2y)=180-144
(66-24)+2y=36
42+2y=36
2y=36-42
y=(-6)/2
y=-3
PLS HELP WITH THIS QUESTION
Answer:
I think C
Step-by-step explanation:
What is the solution for the system of equation
Y=-2x+8 y=x-4
Answer:
(x , y) = (28/5 , 8/5)
Step-by-step explanation:
Answer:
Step-by-step explanation:
(x , y) = ( 28/5 , 8/5 )
Find the mistake made in the steps to solve the equation below
Answer:
C. Step 3 is incorrect and should be x=10/8
Answer:
c. step 3 is incorrect and should be x=10/8
If the area is 26.8 sq ft, what is the value of x?
Answer:
area of rectangle =length multiplyed by breath
4x multiplied by x=26.8
4x²=26.8
x²=26.8 divided by 4
x²=6.7
x=2.59
The area of a Rhombus is 60cm² and one of its diagonals is 15cm, then the length of other diagonal is
The area of a rhombus is give by 1/2 times the product of the diagonals. Therefore:
60cm2=12(d1⋅d2)
where d1 and d2 are the diagonals. Letting d1=15cm and solving for d2 gives d2=8cm.
The two diagonals bisect each other and are perpendicular to each other. Therefore the four triangles created by the diagonals in the rhombus are right triangles. Using the Pythagorean theorem on any of these triangles yields that the sides s of the rhombus are given by
(152 ) 2 + (82)2 = s 2
or s = 172cm.
The perimeter is therefore 4 X 172 = 34 cm.
Approximate the value of the positive square root of 110 to the nearest hundredth
i just need some help on a few math questions. i'm very bad at math sorry :(
Answer:
Q1) D
Q2) A
Q3) A
Q4) I'm sorry I can't figure this one out
Q5)2.7
Step-by-step explanation:
19. Suppose carpet costs $20 per square yard. How much will it cost to carpet
the floor shown below?
12 yards
8 yards
(a) $1,160
(b) $400
(c) $800
(d) $1,920 (e) none of these
Please show the work
Answer:
$400
Step-by-step explanation:
12*20=240
8*20=160
240+160= 400
angle 1 and angle 2 are supplementary. m angle1 = 3x - 4 and m angle2 = 8x - 14. Find the measure of each angle.
Answer:
50° and 130°
Step-by-step explanation:
Angle1 and angle2 are supplementary. So, sum of angle1 and angle2 is 180°
3x-4+8x-14=180°
11x-18=180°
11x=198°
x=18°
Angle1 = 3*18 -4 = 50°
Angle2 = 8*18 -14= 130°
What is the slope-intercept equation
for the following line?
y = -2x + [?]
What is the intercept?
Answer:
y = -1/2x - 3
Step-by-step explanation:
Look a the picture please
Answer:
a. 6 1/2
Step-by-step explanation:
If each of the teacher's students needs 1/4lbs of clay and she has 26 students, all we have to do is divide 26 by 4. 26/4=6.5
6.5 as a fraction is 6 1/2. So, the answer is a.
Have an amazing day!! Good luck on your test C:
help graphs are not my favorite
Answer:
d
Step-by-step explanation:
Which pairs of angles are always congruent? (select all that apply)
Corresponding Angles
Same Side Exterior Angles
Alternate Exterior Angles
Linear Pair Angles
Vertical Angles
Same Side Interior Angles
Alternate Interior Angles
Answer:
Corresponding angles
Alternate Exterior Angles
Alternate Interior Angles
I hope this helps I may be wrong I am sorry if i am
Answer:
numbers 1 and 5
Step-by-step explanation:
i toook the test
Valerie is going to purchase a new car. The car she wants has a list price of $32,495. Valerie is planning to make a
down payment of $1,877. Furthermore, she plans to trade in her current car, which is a 2006 Hyundai Sonata in good
condition. She will finance the rest of the cost by making monthly payments over five years. She can finance the cost
at a rate of 8.64%, compounded monthly. She will also have to pay 8.23% sales tax, a $2,243 vehicle registration fee,
and a $314 documentation fee. If the dealer gives Valerie 87.5% of the trade-in price on her car, listed below,
approximately how much will Valerie pay in total for her new car? (Round all dollar values to the nearest cent, and
consider the trade-in to be a reduction in the amount paid.)
OPEN TOP TO SEE ANSWER!!!!
Answer:
B). $38,821
Step-by-step explanation:
By using several of the known mathematical formulas, and what is given to us at the very bottom (and top) of the answer, we can see that the correct answer is
$38,821
on e2020
The total amount that Valerie will pay for her new car is $35,899.87.
Online Finance CalculatorWe can use an online finance calculator to compute the total amount that Valerie will pay for her new car as follows:
Data and Calculations:Auto Price = $32,495
Loan Term = 60 months (12 x 5)
Interest Rate = 8.64%
Down Payment = $1,877
Trade-in Value = $28,433 ($32,495 x 87.5%)
Sales Tax = 8.23%
Title, Registration and Other Fees = $2,557 ($2,243 + $314)
Calculate
Monthly Pay: = $44.98
Total Loan Amount = $2,185.00
Sale Tax = $334.30
Upfront Payment = $4,768.30
Total of 60 Loan Payments = $2,698.57
Total Loan Interest = $513.57
Total Cost (price, interest, tax, fees) = $35,899.87
Thus, the total amount that Valerie will pay for her new car is $35,899.87.
Learn more about financing a car purchase at https://brainly.com/question/20566521