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
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:
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 )
Raza works at a flea market selling sunglasses. He is paid $7.50/h plus a 75¢ commission for every pair of sunglasses he sells.
Write an equation to model Raza’s earnings. (1 mark)
Find Raza’s earnings if he sells 25 pairs of sunglasses during a 6-h shift. (2 marks)
How many pairs of sunglasses must he sell to earn $90 in 8 h? (2 marks)
Answer:
7.50h+0.75s 63.75 30
Step-by-step explanation:
7.50 x how many hours + 0.75 x how many sunglasses he sold
7.50 x 6 + 0.75 x 25= 63.75
7.50x8= 60 0.75x40=30 60+30=90
Can someone help me on questions 10-15
Answer:
10. Supplementary
11. Congruent
12. Congruent.
13 . congruent
14 supplement
15 supplementary
Hope this helps you Do mark as brainliest!what is the point slope form of a line that has a slope of 3 and passes through point (1,4)?
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
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
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
write an equation of a line passing through point p(-2, 6) that is parallel to the line x= -5
Answer:
x= -2
Step-by-step explanation:
x = -5 is a vertical line, so a line parallel would also have to be a vertical line
It goes through the point ( -2,6)
The x coordinate -2
So a line parallel would be x= -2
Answer:
x= -2
Step-by-step explanation:
Approximate the value of the positive square root of 110 to the nearest hundredth
In a Petri dish a certain type of bacterium doubles in number every 40 minutes,there were originally 64,or 2^6,bacteria in the dish after 20 minutes,the number of bacteria has doubled 3 times,multiplying by 2^3.Now the population of bacteria is 2^6•2^3. Expressed as a power,how many bacteria are in the Petri dish after 120
Answer:
[tex]Population = 2^{24}[/tex]
Step-by-step explanation:
Given
[tex]Initial = 2^{6}[/tex]
Increment = doubles every 40 minutes
Required
Determine the population after 120 minutes
First, we need to determine the fraction of 120 to 40
[tex]Fraction = \frac{120}{40}[/tex]
[tex]Fraction = \frac{3}{1}[/tex]
[tex]Fraction = 3[/tex]
If for every 40 minutes, we have:
[tex]Population = 2^6*2^6[/tex]
We'll have:
[tex]Population = 2^6 * 2^{6 * 3}[/tex] at the 120the minute
[tex]Population = 2^6 * 2^{18}[/tex]
Apply law of indices
[tex]Population = 2^{6+18}[/tex]
[tex]Population = 2^{24}[/tex]
Answer:
its 2-9
Step-by-step explanation:
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!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
Lauren's vet commented that her puppy gained 10% in weight since the first visit. Write an expression that could be evaluated to show the puppy's current weight. Use a variable to represent the weight of the puppy at the first visit. Write the expression in simplified form. If the puppy gains another 10% in weight from the current visit to a future visit, how much will the puppy weigh? Write an expression that could be evaluated to show the puppy's future weight. Write the expression in simplified form.
Answer: expression to show puppy's current weight = x+ 0.1x, simplified form = 1.1x
Expression that for puppy's future weight= 1.1x + 0.1(1.1x), simplified form = 1.21 x
Step-by-step explanation:
Let x= Puppy's weight in the first visit.
If it gained 10% in weight from the first visit, then his current weight = (weight in first visit)+10% of (weight in first visit)
= x+ 0.1x
i.e. expression to show puppy's current weight = x+ 0.1x
In simplified form it will be
x+ 0.1x = x(1+0.1)
=x(1.1)
=1.1 x (simplified form )
If puppy gains another 10% in weight, then its future weight = (current weight)+10% of (current weight)
= 1.1x+10% of 1.1x
= 1.1x + 0.1(1.1x)
Expression that for puppy's future weight= 1.1x + 0.1(1.1x)
= 1.1x(1+0.1)
= 1.1x(1.1)
=(1.1)²x
= 1.21x (simplified form)
If 72 is 9 times larger than 8, which statement below is true?
A) 8 is 72 times larger than 9
B) 72 is 8 times larger than 9
C) 9 is 8 times larger than 72
D) 8 is 9 times larger than 72
PLEASE HELPPP!!!
The graph of y = ax2 + C contains the point (2, 14). Which point lies on the graph of
y= a(x - 2)2 + c?
A. (4, 14)
B. (2, 16)
C. (0, 14)
D. (2, 12)
Answer: A
Step-by-step explanation: pretty sure lol
Answer:
The graph of [tex]y = ax^2+c[/tex] contains the point (2, 14).
Step-by-step explanation:
3*a*2*b what is the answer
Answer
3*a*2*b equals 6ab
Helpppppppppp Meeeeeeeeeee Plssssssssss Problemmm 3
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)
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:
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.
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
simplify into one fraction (thanks in advance)
[tex] \frac{2}{p + 3} - \frac{5p}{2p - 2} [/tex]
Answer:
2-5p
1-p
Step-by-step explanation:
put the whole equation into one one fraction. then you simplify. first do the bottom
1. first do 3-2=1
2. then the variable numbers i forget the fancy term
p-2p = -p
3. add together 1 - p
then do the top
its the same thing so then you put the new fraction together
4. 2-5p
1-p
I forget if there's anymore steps but I hope this helps
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
An artery of radius 3 mm sends blood to three smaller arteries that are all the same size. Each of the smaller arter
much blood to flow as the larger artery does. What is the radius, in mm, of one of the smaller arteries?
A)
3
B)
3T1
C)
V3
D)
2/3
9514 1404 393
Answer:
C) √3
Step-by-step explanation:
Treating this as a geometry problem, not a fluid dynamics problem, we assume the area of the smaller vessels must total that of the larger one. Then the ratio of areas of the smaller vessels to the larger one is 1/3. The ratio of radii is the square root of that: 1/√3.
Then the radius of the smaller arteries must be ...
(3 mm)(1/√3) = √3 mm
I need some help with (−3f−5f+9)−(−6f+2)
Answer:
the correct answer would be -2f+7
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.
What is -2x-4y=36 written in slope-intercept form?
Question 3 options:
y=12x+9
y=−12x+9
y=−2x−9
y=−12x−9
I will give a brainliest
look at image..........................
Answer:
8p+25b
Step-by-step explanation:
Answer:
8p+25b
Step-by-step explanation:
You dont know how many of each he bought so you use the variables. so, p-packets b-boxes. You put them in w the numbers, 8p(packets) 25b(boxes)