Answer:
2,160.00
Step-by-step explanation:
okay so first we have to find 4.5% of 12,000
which is 540, then multiply 540 by the four years and
540 x 4 = 2,160.00
The total loan amount would be equal to $14,310 in four years when Jay graduates.
Given the following data:
Principal = $12,000Interest rate = 4.5%Time = 4 yearsTo determine how much (future value) the total loan amount would equal in four years when he graduates:
Mathematically, compound interest is given by the formula:
[tex]A = P(1 + r)^{t}[/tex]
Where;
A is the future value.P is the principal or amount borrowed.r is annual interest rate.t is the number of years for the compound interest.Substituting the given parameters into the formula, we have;
[tex]A = 12000(1 + 0.045)^{4}\\\\A=12000(1.045)^{4}\\\\A=12000(1.1925)[/tex]
Future value, A = $14,310
Read more: https://brainly.com/question/16992474
Here's the question.
Answer:
The value of T₂₀ - T₁₅ is -20.
Step-by-step explanation:
Given :
>> If for an A.P, d = -4To Find :
>> T₂₀ - T₁₅Using Formula :
General term of an A.P.
[tex]\star{\small{\underline{\boxed{\sf{\red{ T_n = a + (n - 1)d}}}}}}[/tex]
>> Tₙ = nᵗʰ term>> a = first term>> n = no. of terms>> d = common differenceSolution :
Firstly finding the A.P of T₂₀ by substituting the values in the formula :
[tex]{\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{20} = a + (20 - 1) d}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{20} = a + (19)d}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{20} = a + 19 \times d}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{20} = a + 19d}}}[/tex]
[tex]{\star \: {\underline{\boxed{\sf{\pink{ T_{20} = a + 19d}}}}}}[/tex]
Hence, the value of T₂₀ is a + 19d.
[tex] \rule{190}1[/tex]
Secondly, finding the A.P of T₁₅ by substituting the values in the formula :
[tex]{\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{15}= a + (15 - 1) d}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{15}= a + (14) d}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{15}= a + 14 \times d}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{15}= a + 14d}}}[/tex]
[tex]{\star{\underline{\boxed{\sf \pink{ T_{15}= a + 14d}}}}}[/tex]
Hence, the value of T₁₅ is a + 14d
[tex] \rule{190}1[/tex]
Now, finding the difference between T₂₀ - T₁₅ :
[tex]{\dashrightarrow{\pmb{\sf{T_{20} - T_{15}}}}}[/tex]
[tex]{\dashrightarrow{\sf{(a + 19d) - (a + 14d)}}}[/tex]
[tex]{\dashrightarrow{\sf{a + 19d - a - 14d}}}[/tex]
[tex]{\dashrightarrow{\sf{a - a + 19d - 14d}}}[/tex]
[tex]{\dashrightarrow{\sf{0+ 19d - 14d}}}[/tex]
[tex]{\dashrightarrow{\sf{19d - 14d}}}[/tex]
[tex]{\dashrightarrow{\sf{5 \times - 4}}}[/tex]
[tex]{\dashrightarrow{\sf{ - 20}}}[/tex]
[tex]{\star \: \underline{\boxed{\sf{\pink{T_{20} - T_{15} = - 20}}}}}[/tex]
Hence, the value of T₂₀ - T₁₅ is -20.
[tex]\underline{\rule{220pt}{3.5pt}}[/tex]
i need help on this assignment
Answer:
45 degrees
Step-by-step explanation:
0.3 of what number is 36
Answer:0.11
Step-by-step explanation:
piecewise functions. please help it’s for a test. please write the tables! i will give out brainliest!!
Answer:
Second Table:
1 | 0
3 | -2
Sorry I can’t do the rest I have to go study for my midterm! Hope this helps a bit
Step-by-step explanation:
Find the equation of the line passing through the points (0,7) and (5,-3).
Answer:
y = - 2x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (5, - 3 )
m = [tex]\frac{-3-7}{5-0}[/tex] = [tex]\frac{-10}{5}[/tex] = - 2
The line crosses the y- axis at (0, 7 ) ⇒ c = 7
y = - 2x + 7 ← equation of line
A line passes through the points (0, 2) and (2, 10). What is its equation in slope-intercept form?
Answer:
y = 4x + 2Step-by-step explanation:
The slope-intercept form:
y = mx + b, where m is the slope, b is the y-interceptFind the slope using given points:
m = (10 - 2)/(2 - 0) = 8 / 2 = 4The y-intercept is given with point (0, 2):
b = 2The line is:
y = 4x + 2[tex]\\ \sf{:}\Rrightarrow m=\dfrac{10-2}{2-0}=\dfrac{8}{2}=4[/tex]
Put in slope intercept form
[tex]\\ \sf{:}\Rrightarrow y=mx+b[/tex]
[tex]\\ \sf{:}\Rrightarrow 2=4(0)+b[/tex]
[tex]\\ \sf{:}\Rrightarrow 2=b[/tex]
Equation of the line
[tex]\\ \sf{:}\Rrightarrow y=4x+2[/tex]
Find each percent increase round to the nearest percent from 86 books to 140 books
Answer: 61%
Step-by-step explanation:
help me with this question plzzzzzzz
Answer:
The base is 9.4 milliliters
Step-by-step explanation:
First, you would notice that they give you the perimeter of it. Meaning 51.4 was a sum of adding the height and base length twice. So you would take 51.4 and subtract 16*2 from it. Which would be 19.4. Next, since 19.4 would be both bases added, and they are both the same, you would do 19.4/2=9.4
The base is 9.4 milliliters.
Answer:
9.7
Step-by-step explanation:
P=2B+2H=51.4
B+H=25.7
H=16
B=25.7-16
B=9.7
socks cost $2 per pair. the cost of n pairs $2n. john says that the cost of 6 pairs is $26 and the cost of 7 pairs is $27. is this correct? what did john do wrong?
Answer:
John is incorrect. He did not multiply.
Step-by-step explanation:
If a pair of socks cost $2, then the total cost of the socks if you buy n pairs is $2n. In the expression 2n, the 2 is the dollar amount and the n is the number of pairs.
1 pair is $2.
2 pair are $4.
3 pair are $6.
4 pair are $8.
5 pair are $10.
6 pair are $12.
7 pair are $14.
13 pair are $26.
There is no way to spend $27 on these socks.
25 pair are $50.
Hopefully, you can use logic, your prior knowledge of making purchases of multiple items and also algebra to see you must multiply the number of items you're buying times the cost per item.
6 pair are $12 and 7 pair are $14. John is wrong. He did not multiply.
which is the better deal $2.98 for 2 liters of soda or $7.40 for 5 liters? find the unit price of the better deal on the coloring sheet.
Answer:
7.40 for 5 liters
Step-by-step explanation:
2.98/2= 1.49
7.40/5= 1.48
Hope this Helps :)
Can u mark me the brainliest
need help with algerba 2
F(4)4 is the x value 4. Find where the line is on th y axis at x = 4
The dot is between 60 and 70 so the answer would be 64
Answer: D. 64
Answer:
the answer is d
Step-by-step explanation:
if you look on the graph where the x-value equals 4, the y-value of that point is your answer and d is the only value in that range
The equation 750(1.03)4t=1,000 can be used to find the amount of time, t, in years, it takes for a savings account compounded quarterly to reach $1,000. In order to solve the equation 750(1.03)4t=1,000, a student graphs the equations y=750(1.03)4t and y=1,000. What is the approximate solution to the equation 750(1.03)4t=1,000?
Answer:
Step-by-step explanation:
T=29.16
Ryan has a collection of 1,200 pennies.
25% are dated before 1980
35% are dated from 1980-2000
the rest are dated after 2000
How many pennies in Ryan's collection are dated after 2000?
Answer:
480 Pennies.
Step-by-step explanation:
25% (1980) + 35% (1980-2000) = 60%
40% (2000+) Percent of 1200 is 480 Pennies.
3x^3-4x^2-28x-16 divided by 3x+2
What is the sum of the following
(k – 4) and (k + 3)
Please fast needed
Answer:
2k-1
Step-by-step explanation:
(k-4)+(k+3)
k+k=2k
-4+3=-1
Answer:
2k-1
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
2. The wholesale price of the skirt is $12 and the retail price is $24.
How much is the markup?
nah
So ein
What percent of the wholesale price is the markup?
With the sale price being $12 and the retail price being 24, it is a 12 dollar markup or 50% considerably.
please please i beg for help omg
Answer:
x = 12
Step-by-step explanation:
First:
[tex]27=9*3=3*3*3=3^3[/tex]
If you rewrite the 27 into base 3 like that:
[tex]3^{5x}=3^{(3)\times(2x-4)[/tex]
Now that both sides have the same base, you can cancel them out. This is the simplest example of that I can think of:
[tex]2^x=2^x[/tex]
Here, the exponent obviously has to be equal for this to be true, right? The exponents do have to be equal, so you can drop the bases completely:
[tex]x=x[/tex]
Same for the problem we have above. It's a base 3 on both sides, and for them to be equal, the exponents also have to be equal.
[tex]3^{5x}=3^{(3)\times(2x-4)}\\5x=(3)\times(2x-4)\\5x=3(2x-4)[/tex]
Now, you can simply solve for x.
[tex]5x=6x-12\\-1x=-12\\x=12[/tex]
Lary works in a automobile company. They just shipped out 5 brand new cars. The total cost of these cars was $1,067,800. If they all cost the same amount,what was the price of each car ?
She your work.
use the slope formula to show work
Answer:
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{10 - 4}{ - 6 - 3} = \frac{6}{ - 9} = - \frac{2}{3} [/tex]
1
7+4(r+3)=9r-6
show work pls AND HELP ASAP
[tex] \: \: \: \: \: \: [/tex]
[tex] = \: \: \: \: r = 5[/tex]
Step-by-step explanation:
[tex]7 + 4(r + 3) = 9r - 6[/tex]
distribute 4 through the parentheses[tex]7 + 4r + 12 = 9r - 6[/tex]
add numbers[tex]19 + 4r = 9r - 6[/tex]
move the variable to the left hand side and change its sign[tex]19 + 9r = - 6[/tex]
move the constant to the right hand side and change its sign[tex]4r - 9 = - 6 - 19[/tex]
collect like terms[tex] - 5r = - 6 - 19[/tex]
calculate the difference[tex] - 5r = - 25[/tex]
divide both sides of the equation by -5[tex] = \: \: \: \: r = 5[/tex]
hope it helpsUse the vertical line test to determine whether the graph is the graph of a function.
AY
Is this the graph of a function?
No
Yes
Answer:
No is the answer:)
Step-by-step explanation:
Draw a straight line down the middle and if it touches the purple line twice its not a function
Need help ASAP!!! Use the function below to find the stuff in the picture!!!
Answer: B. 1/9
Step-by-step explanation:
Plug in -2 to the ^x
f(x) = 3^-2
3^-2 = 0.111111111111
0.1111111111 = 1/9
Correct me if I am incorrect.
Express 0.16 bar as a rational number
Solve for x.
3 + 9x = 11x - 7
Answer:
3 + 9x = 11x - 7
simplify
9x + 3 = 11x - 7
subtract 11x from both sides
-11x -11x
-2x + 3 = -7
get rid of constants first by subtracting by 3 from both sides
-3 -3
-2x = -10
divide both sides by -2 since that is the inverse operation of multiplication
/-2 /-2
X = 5
Answer:
x=5
Step-by-step explanation:
Hi, first the thing to do here is simple,
step 1, collecting like terms
3+9x=11x-7
11x-9x=3+7
2x=10
then divide both by 2.
x= 5
A furniture store donated a percentage of every sale to hospitals. The total sales were $7,125 so the store donated $570. What percent of 7,125 was donated to hospitals
Answer:
8%
Step-by-step explanation:
570 / 7125 = x / 100
Cross multiply
570 * 100 = 7125x
57000 = 7125x
Divide each side by 7125
8 = x
Can someone pleaseee answer this
Answer:
Answer is in the attached file.
Answer:
x = 80
Step-by-step explanation:
The exterior angle is equal to the sum of the remote interior angles.
2x -48 = x +32
x = 80 . . . . . . . . . . add 48 -x to both sides
The 17th term of an arithmetic sequence is 30, and the common difference is 4. Find the 16th term
30
34
26
24
The 17th term of the arithmetic series would exceed the 16th term by the common difference
17th term = 16th term + 4
Hence the 16th term is 30 - 4 = 26
Rebah and her twin brother are planning a birthday party at Pizza Pete's. There is a S64.75 charge to reserve a party room plus $4.95 per person charge for lunch
Explain how to find the greatest number of people that can attend the party for $175.00. Show your work, and state the number of people.
QUICKKK PLZZ
Answer:
22 people
Step-by-step explanation:
Step 1: I first subtracted $64.75 from $175.00 so that I knew how much would be leftover after the charge of the room, because you can't count that cost. When I did this, I got $110.25. So then I knew how much was paid other then for the room.
Step 2: I then divided $110.25 by $4.95, so I would get the amount of people who went to the party, since each person costs $4.95. When I divided, I got 22.
So that would be my answer. I hope that helps. :)
Shawnte bought a rug for the hall of her apartment. The rug is 3 feet wide by 18 feet long. What is the area of the rug?
Andrea is making potato salad for a buffet luncheon. The recipe says the number of servings of potato salad will be twice the number of pounds of potatoes. If she buys 30 pounds of potatoes, how many servings of potato salad will there be?
According to NCAA regulations, the dimensions of a rectangular basketball court must be 94 feet by 50 feet. What is the area of the basketball court?
Break up the problem, It will still come out as the same answer.
18x3=(10+8)3
10x3 + 8x3
30 + 24
54 Feet²
Hope This Helps
Answer:
1. 54 feet squared
2. 60 servings
3. 4700 feet squared
Step-by-step explanation:
1. 3x18
2. 30x2
3. 94x50
Find the median and mode of the following data:
a) 5, 9, 3, 4, 9, 2, 1, 3, 6.
b) 60, 67, 62, 61, 63, 65, 64, 68, 60.