Hal's total lifetime cost will be $13,615.20.
Data and Calculations
Table detailing the Loans
1: Year Junior Senior
2: Loan Amount ($) 4,048 5,295
3: Interest Rate (%) 5.9% 7.6%
4: Subsidized? No Yes
5: Future value 4,539.76 5,295
6: Total repayment $6,020.76 $7,575.51
Total lifetime cost = $ 13,596.27 ($6,020.76 + $7,575.51)
What is the future value of the loan?
The future value of the loan is determined based on no subsidy and interest rate compounded for two years for the Junior Loan.
Junior loan Amount after two years = $4,539.76
Loan Term = 10 years
Interest Rate = 5.9%
Compound Monthly (APR) Pay Back Every Month
Therefore, Payment Every Month $50.17
Total of 120 Payments $6,020.76
Total Interest $1,481.00
Loan Amount = $5,295
Loan Term = 10 years
Interest Rate = 7.6%
Compound Monthly (APR)
Pay Back Every Month
Therefore, a Payment Every Month of $63.13
Total of 120 Payments $7,575.51
Total Interest $2,280.51
Thus, Hal's total lifetime cost will be d. $13,615.20.
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3x^2+7x+14=-7x to the nearest tenth
Answer:
hope this helps
Step-by-step explanation:
3x^2+ 14 x+14= 0
-3.22 , -1.45
1. X=7 and y=3
A. X+Y=
B. X+X+Y=
C. 2X+5Y=
D. 8(X+Y)=
E. 15(2X+Y+Y)=
Answer:
A. 10
B. 17
C. 29
D. 80
E. 300
Step-by-step explanation:
A.
x + y
7 + 3
10
B.
x + x + y
7 + 7 + 3
14 + 3
17
C.
2x + 5y
2(7) + 5(3)
14 + 15
29
D.
8(x + y)
8(7 + 3)
8(10)
80
E.
15(2x + y + y)
15(2(7) + 3 + 3)
15(14 + 3 + 3)
15(17 + 3)
15(20)
300
Which function in vertex form is equivalent to f(x) = x2 8 – 16x? f(x) = (x – 8)2 – 56 f(x) = (x – 4)2 0 f(x) = (x 8)2 – 72 f(x) = (x 4)2 – 32
The function in vertex form that is equivalent to the equation f(x) = x^2 + 8 - 16x from the given options is given by: Option A: f(x) = (x-8)^2 -56
What is vertex form of a quadratic equation?If a quadratic equation is written in the form
[tex]y=a(x-h)^2 + k[/tex]
then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)
Since it is specified that the options are in vertex form, so let we convert the given equation to vertex form.
The specified equation is: [tex]f(x) = x^2 + 8 - 16x[/tex]
Converting to vertex form:
[tex]f(x) = x^2 + 8 - 16x\\\\f(x) = x^2 -16x + 8\\[/tex]
(let we make terms such that it becomes (a+b)^2 's formula).
[tex]f(x) = x^2 -16x + 8\\f(x) = x^2 -2\times8x + (-8)^2 -(-8)^2 + 8\\f(x) = (x-8)^2 -64 + 8\\f(x) = (x-8)^2 -56[/tex]
Thus, the function in vertex form that is equivalent to the equation f(x) = x^2 + 8 - 16x from the given options is given by: Option A: f(x) = (x-8)^2 -56
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Answer:
A
Step-by-step explanation:
Condos in Padre Island increase in value by 7% each year. If the Garza's family's condo is now worth
$150,000, what will it be worth in 8 years (Round to the nearest cent) ? TEKS A2.5(B)(D)
A rectangle has the sum of length and breadth 20 cm. find the perimeter.
40 cm.
Step-by-step explanation:[tex]Because=(long+width)\times 2=perimeter[/tex]
[tex]50:the\ perimeter=20\times 2=40\ cm[/tex]
I hope this helps you
:)
Calculator
What is the surface area of the square pyramid represented by
the net?
Answer:
Right square pyramid
Step-by-step explanation:
A=a2+2aa2
4+h2
A medium pizza cheese pizza a papa johns costs $6.80 plus $0.90 for each topping. The cost of a medium cheese pizza at pizza hut is $7.30 plus $o.65 for each topping. How many toppings need to be added to a large cheese pizza from papa johns and pizza hut in order for the pizzas to cost the same, not including tax?
Answer:
I hope I answered your question!
Step-by-step explanation:
6.80+0.90x=7.30+0.65x (multiply by 100 on both sides)
680+90x=730+65x
50=25x
x=2
Therefore you need to add 2 toppings to each pizza to make them cost the same.
How much will it cost the company to make 600 helmets? $
Answer:
15,600
Step-by-step explanation:
Answer:
15,600
Step-by-step explanation:
find the volume. please help i’m confused
Answer:
840in^3
Step-by-step explanation:
0.5 * b * h * length=voulme
Leonardo knows it is 42 days until summer break. how many weeks is it until Leonardos summer break?
Answer: 6 weeks
Step-by-step explanation: 42 days in weeks would be 6 weeks
HELP!! I NEED HELP WITH MY MATH
Answer:
partA option B is the correct answer
partB option A is the correct answer
What interval includes all possible values of x, where –3(6 – 2x) ≥ 4x 12? (–[infinity], –3] [–3, [infinity]) (–[infinity], 15] [15, [infinity])
The minimum of x is 15, and the most is infinity, which is the same thing as [15, ∞).
We have given inequality is
–3(6 – 2x) ≥ 4x + 12
What is the meaning of inequality?
The statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
[tex]-3(6 - 2x) \geq 4x + 12\\-18 + 6x \geq 4x + 12\\6x - 4x \geq 12 + 18\\2x \geq 30\\x \geq 15[/tex]
This means that the minimum of x is 15, and the most is infinity, which is the same thing as [15, ∞).
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what will happen to the mean and mad of this distribution if i move the clinics graph to the right
Step-by-step explanation:
Graph to move right
As we can see mad is same (10)
Hence it doesn't affect the mad what we do with base axisSo if we turn mean to right it gets bigger.
Option A is correct
Does anyone get this?! ISTG IF ONE OF U BOTS DROP A LINK IM GONNA-
Only answer if you know :)
Answer:
Diagonal : 10.2
Longer side: 6
Shorter side: 4
Step-by-step explanation:
Answer:
The Answers are 10.6 for the first one 6 for the second one and 4 for the third one
Step-by-step explanation:
Hope this helps sry if I'm wrong
I also needed the points :)
help!!! 25 points !!
Answer:
plan c. is the answer byebye
Using only an addition, how do you add eight 8’s and get the number 1000?
888 + 88 + 8 + 8 + 8 = 1000
have a nice day!
888 + 88 + 8 + 8 + 8 = 1000
hope this helps....
Which situation below has the highest constant of
proportionality?
A) 16 ounces of jasmine rice costs $4.80.
B) 32 ounces of white rice costs $6.40
C) 12 ounces of white rice costs $1.20.
D) 9 ounces of brown rice costs $1.80
Answer:
A) k = 0.3Step-by-step explanation:
Find the constant of proportionality k in each case and compare
y = kxA)
16k = 4.80 ⇒ k = 4.80/16 ⇒ k = 0.3B)
32k = 6.40 ⇒ k = 6.40/32 ⇒ k = 0.2C)
12k = 1.20 ⇒ k = 1.20/12 ⇒ k = 0.1D)
9k = 1.80 ⇒ k = 1.80/9 ⇒ k = 0.2As we see k = 0.3 is the highest one
We need unit rates for all
#A
4.80/160.3#B
6.4/320.2#C
1.2/120.1#D
1.8/90.2A has highest
WILL MARK BRAINLIST!!!
Answer:
7 hrs 42 mins
SAnswer: 7 hrs 42 mins
Step-by-step explanation:
San Antonio to Houston 3 1/3
Houston to Dallas 4 1/12
3 1/3 + 4 1/12=10/3+48/12=89/12=75/12
7 5/12= 7.4166667
= 7hrs and 42 minstep-by-step explanation:
Which graph represents the function
Step-by-step explanation:
Your graph will have a vertical asymptote at x = 1, as the denominator x - 1 cannot equal zero. Therefore, f(1) is not posssible. Then, plugging in test values for the function on the left side of the asymptote...
[tex]f(-1) = \frac{2(-1)-1}{-1-1} = \frac{3}{2}\\f(0) = \frac{2(0)-1}{0-1} = 1\\f(2) = \frac{2(2)-1}{2-1} = 3\\f(3) = \frac{2(3)-1}{3-1} = \frac{5}{2}[/tex]
... you will find that your graph needs to include the following points:
[tex](-1, \frac{3}{2})\\(0, 1)\\(2, 3)\\(3, \frac{5}{2})[/tex]
So therefore, your graph must cross through the above points, and may never cross the vertical line x = 1.
Can someone help me with this problem?
Answer:
3 (4+13)
Step-by-step explanation:
The GCF of 12 and 39 in 3 so then you divide 12 and 39 by 3.
When looking for the range of a graph, what values are you looking for?
Answer: So Remember that the range is how far the graph goes from down to up. Look at the furthest point down on the graph or the bottom of the graph. The y-value at this point is y = 1 y=1 y=1.
Susan took out a personal loan for $3,500 at an interest rate of 13% compounded monthly. she made arrangements to pay the loan off in 3 years. what will her monthly payment be? a. $99.34 b. $105.32 c. $117.93 d. $156.60
Susan's monthly payment will be $117.93.
We have Susan take out a personal loan for $3,500 at an interest rate of 13% compounded monthly.
P=3500
r=30%
t=3
What is the amortization formula?[tex]A = \frac{P(\frac{r}{12} )}{(1 -(1 +r/12)^{(-12t)}}[/tex]
Where A is the payment,
P= principal,
r =the annual interest rate
t is the number of years.
use the given value in the formula we get
[tex]A = \frac{3500(0.13/12)}{(1 -(1 +0.13/12)^{-36} }[/tex]
A=117.9288
A= 117.93
Susan's monthly payment will be $117.93.
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Answer: C $117.93
Step-by-step explanation:
The numbers of runs scored by a baseball team over nine games is shown below.
Answer:
C
Step-by-step explanation:
The avg is about 3.6
5, one fifth, negative one fifth or 5, How do i solve this?
Answer:
[tex]k = \frac{4}{5} [/tex]
Step-by-step explanation:
We know from the graph
[tex]g(x) = - \frac{1}{5} [/tex]
and
[tex]f(x) = 1[/tex]
using the given equation we can solve
[tex] - \frac{1}{5} = k - 1 \\ [/tex]
subtract 1 from both sides so that k is isolated
[tex] \frac{4}{5} = k[/tex]
Mrs Davis invests 15,000 into a savings account that pays 7%interest for 3 years how much interest does mrs Davis earn
Answer:
3,150
Step-by-step explanation:
The amount of interest earned by the account is found using the interest formula:
I = Prt . . . . where P is the principal invested at rate r for t years
__
Using the given values, we find the interest to be ...
I = 15,000×0.07×3 = 3,150
Mrs Davis earns 3,150 on her investment.
what is the equation to represent these words the product of a number and 5 is 8
Answer:
let's say the Missing number is called 'y'.
product means multiplication so
y x 5 = 8.
Hope this at least helps.
Step-by-step explanation:
y x 5 =8
5y = 8
y = 8/5
Question
Find the missing dimension of the cylinder. Round your answer to the nearest whole number.
Volume = 250 ft³
h is unknown
8 ft is the diameter
Answer:
H = 5.0
Step-by-step explanation:
Using the formula
[tex]V=\pi r^{2} h[/tex]
Solving for h
[tex]h =\frac{V}{\pi r^{2} } =\frac{250}{\pi *4^{2} }\neq 4.97359[/tex]
Round to the nearest tenth
[tex]5.0[/tex]
100 points and brainliest please help i only got 10 minutes!
Answer:
Step-by-step explanation:
(a)
Data Set 1
Mean : 70 + 65 + 72 + 80 + 73 / 5Mean = 357/5 = 71.4Deviation from Mean : 1.4 + 6.4 + 0.6 + 8.6 + 1.6 / 5M.A.D = 18.6/5 = 3.72Data Set 2
Mean : 61 + 47 + 70 + 63 + 54 / 5Mean : 295/5 = 59Deviation from Mean : 2 + 12 + 11 + 4 + 5 / 5M.A.D. = 34/5 = 6.8Comparison
On comparing the Mean Aboslute Deviation values of the two games, it is seen that that the Leaping Lizards game has a higher MAD than the Jumping Jackrabbits game, which means the scores deviate more in the Leaping Lizards game, whereas in the other game it is consistent(4) Each shelf in Brandon's library is 60 cm wide and has 15 books. There are 8 shelves of fiction books and 7 more shelves with non-fiction books. How many books are there in all?
Answer:
225 books
Step-by-step explanation:
you do 15 x 8 and you get 120 then you do 15 x 7 and you get 105 then you add 120 and 105 together and your final answer is 225 books
Answer:
ANswer: 225
Step-by-step explanation:
multiply: 15 x 7 = 105 & 15 x 8 = 120
now add " 105 + 120" together
Total: (See answer above)
In the figure, AD is perpendicular to BD, AC is perpendicular to BC, and AD ≅ BC.
Which of the following congruences is NOT necessarily true?
∠DAB ≅ ∠CBA
AE ≅ BE
AC ≅ BD
AD ≅ AE
∠EAB ≅ ∠EBA
Answer:
D) AD ≅ AEStep-by-step explanation:
According to given details the triangles ADB and BCE are congruent as per HL congruence
Lets verify the choices
∠DAB ≅ ∠CBA,
this is true as corresponding angles of congruent trianglesAE ≅ BE,
this is true as AEB is isoscelesAC ≅ BD,
this is true as corresponding sides of congruent trianglesAD ≅ AE,
this is NOT true as AE > AD as hypotenuse of right triangle is greater than legs∠EAB ≅ ∠EBA,
this is true as AEB is isoscelesAnswer:
D) AD ≅ AE
Step-by-step explanation:
Hook me up with a 5 star and a Thanks :)