answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mina [271]
2 years ago
11

Hailey is considering taking out an 8-year loan with monthly payments of $115 at an APR of 3.2%, compounded monthly, and this eq

uates to a loan of $9728.75. Assuming that Hailey's monthly payment and the APR of the loan remain fixed, which of these is a correct statement?
A. If it were a 6-year loan, the amount of the loan that Hailey is considering taking out would be more than $9728.75.
B. If it were a 14-year loan, the amount of the loan that Hailey is considering taking out would be less than $9728.75.
C. If it were a 12-year loan, the amount of the loan that Hailey is considering taking out would be less than $9728.75.
D. If it were a 10-year loan, the amount of the loan that Hailey is considering taking out would be more than $9728.75.
Mathematics
2 answers:
vova2212 [387]2 years ago
5 0
The answer is D -- Apex

anyanavicka [17]2 years ago
4 0

Solution:

Let initial amount of loan = $ x

Total amount that Hailey,is thinking about taking as loan= $ 9728.75

Number of months in 8 years = 12 × 8 =96 months

So, If  monthly payment= $ 115

Total money paid after 96 months = 115 × 96=$ 11040

Monthly amount if  APR= 3.2 % monthly of amount x= \frac{3.2 x}{100}

Total money paid after 6 years= 72 months = 115 × 72=$ 8280

Total money paid after 10 years= 120 months = 115 × 120=$ 13,800

Option (D) : →→ If it were a 10-year loan, the amount of the loan that Hailey is considering taking out would be more than $9728.75 is true.


You might be interested in
The earth has a mass of approximately 6\cdot 10^{24}6⋅10 24 6, dot, 10, start superscript, 24, end superscript kilograms (\text{
Alex_Xolod [135]

Answer:

0.02

Step-by-step explanation:

The volume of the earth's oceans is approximately 1.34\cdot 10^{9}1.34⋅10

9

1, point, 34, dot, 10, start superscript, 9, end superscript cubic kilometers (\text{km}^3)(km

3

)left parenthesis, start text, k, m, end text, cubed, right parenthesis, and ocean water has a mass of about 1.03 \cdot 10^{12}\,\dfrac{\text{kg}}{\text{km}^3}1.03⋅10

12

 

km

3

kg

​

1, point, 03, dot, 10, start superscript, 12, end superscript, start fraction, start text, k, g, end text, divided by, start text, k, m, end text, cubed, end fraction .

To simplify, we will use the product of powers property of exponents that says that x^a\cdot x^b = x^{a+b}x

a

⋅x

b

=x

a+b

x, start superscript, a, end superscript, dot, x, start superscript, b, end superscript, equals, x, start superscript, a, plus, b, end superscript.

\qquad 1.34\cdot 10^{9}\,\cancel{\text{km}^3} \cdot 1.03 \cdot 10^{12}\,\dfrac{\text{kg}}{\cancel{\text{km}^3}} = 1.3802 \cdot 10^{21}\,\text{kg}1.34⋅10

9

 

km

3

⋅1.03⋅10

12

 

km

3

kg

​

=1.3802⋅10

21

kg1, point, 34, dot, 10, start superscript, 9, end superscript, start cancel, start text, k, m, end text, cubed, end cancel, dot, 1, point, 03, dot, 10, start superscript, 12, end superscript, start fraction, start text, k, g, end text, divided by, start cancel, start text, k, m, end text, cubed, end cancel, end fraction, equals, 1, point, 3802, dot, 10, start superscript, 21, end superscript, start text, k, g, end text

Hint #2

Next we want to know what portion of the earth's mass this represents. We have:

\qquad \begin{aligned} \dfrac{\text{mass of the oceans}}{\text{total mass of the earth}} &= \dfrac{1.3802 \cdot 10^{21}\,\text{kg}}{6\cdot 10^{24}\,\text{kg}} \\\\ &= \dfrac{1.3802}{6\cdot 10^{3}} \\\\ &= \dfrac{1.3802}{6000} \\\\ &= 0.0002300\overline{3} \end{aligned}

total mass of the earth

mass of the oceans

​

​

 

=

6⋅10

24

kg

1.3802⋅10

21

kg

​

=

6⋅10

3

1.3802

​

=

6000

1.3802

​

=0.0002300

3

​

To convert this to a percent, we multiply by 100100100, so the oceans represent 0.02300\overline{3}\%0.02300

3

%0, point, 02300, start overline, 3, end overline, percent of the earth's total mass, according to these figures.

Hint #3

To the nearest hundredth of a percent, 0.020.020, point, 02 percent of the earth's mass is from oceans.

6 0
2 years ago
A sociologist studying the difference in ages between husbands and wives obtained a random sample of 55 married couples. The mea
zalisa [80]

Answer:

2.1/√55

Step-by-step explanation:

simga divided by sample size

8 0
2 years ago
which function increases at a faster rate on 0 to infinity, f(x) = x2 or g(x) = 2x? explain your reasoning
Tcecarenko [31]
F(x) = x²    increases at a faster rate than g(x) = 2x.

f(x)

Reason:

x =  0,   1,   2,   3,   4,   5,   6,   7

f(x) = 0,   1,  4,  9,   16,  25,   36,   49

g(x) = 0,  2,  4,   6,    8,  10,    12,    14.

Comparing the values of f(x) and g(x), we can see that that of f(x) are far higher than that of g(x) for the same values of x.

So f(x) increases at a faster rate. 
7 0
2 years ago
Read 2 more answers
A theatre has the capacity to seat people across two levels, the Circle and
andriy [413]

Answer: 76.19\%

Step-by-step explanation:

<h3> The complete exercise is: " A theatre has the capacity to seat people across two levels, the Circle, and the stalls. The ratio of the number of seats in the circle to a number of seats in the stalls is 2:5. Last Friday, the audience occupied all the 528 seats in the circle and \frac{2}{3} of the seats in the stalls. What is the percentage of occupancy of the theatre last Friday?"</h3>

Let be "s" the total number of seats in the Stalls.

The problem says that the ratio of the number of seats in the Circle to the number of seats in the Stalls is 2:5.

Since the number of seats that were occupied last Friday was 528 seats, we can set up the following proportion:

\frac{2}{5}=\frac{528}{s}

Solving for "s", we get:

s*\frac{2}{5}=528\\\\s=528*\frac{5}{2}\\\\s=1,320

So the sum of the number of seats in the Circle and the number of seats in the Stalls, is:

Total=1,320\ seats+528\ seats=1,848\ seats

 We know that \frac{2}{3} of the seats in the Stalls were occupied. Then, the number of seat in the Stalls that were occupied is:

(1,320)(\frac{2}{3})=880

Therefore, the total number of seats that were occupied las Friday is:

Total\ occupied=880\ seats+528\ seats=1,408\ seats

Knowing this, we can set up the following proportion, where "p" is the the percentage of occupancy of the theatre last Friday:

\frac{100}{1,848}=\frac{p}{1,408}

Solving for "p", we get:

(1,408)(\frac{100}{1,848})=p\\\\p=76.19\%

8 0
2 years ago
Ms. Walker's class set up an online fund with a goal to raise $1,280 to go on a field trip. Ms. Walker starts the fund by deposi
madreJ [45]
What you can use for this case is a function of the potential type.
 We have then
 y = a (b) ^ x
 Where we have:
 Walker starts the fund by depositing $ 5
 a = 5
 Each week the balance of the fund is twice the balance of the previous week:
 b = 2
 The function is:
 y = 5 (2) ^ x
 The number of weeks to reach $ 1280 is 8 weeks.
 Check:
 y = 5 (2) ^ 8
 y = 1280
 Answer:
 An equation can be used to find the number of weeks, x, after which the balance of the fund will reach $ 1,280 is:
 y = 5 (2) ^ x
 The number of weeks that it takes to reach the class goal is
 8 weeks
4 0
2 years ago
Read 2 more answers
Other questions:
  • A school district has 2 teaching positions to fill and there are 8 applicants to choose from. How many different possibilities a
    6·2 answers
  • Explain why the graphing calculator cannot be used to solve or approximate solutions to all polynomial equations.
    10·2 answers
  • The table below shows a baseball player’s batting average batting left and right versus left- and right-handed pitches Left-hand
    8·1 answer
  • Help please!!!<br> What is P(0.6 ≤ z ≤ 2.12)?<br> 16% <br> 26% <br> 73% <br> 98%
    15·2 answers
  • Antonio graphs these equations and finds that the lines intersect at a single point, (–5, 0.25). Equation A: Equation B: 4y – 3x
    5·2 answers
  • Ellie buys a mobile phone in spain for €352.50. Her brother jack buys an identical phone from japan for ¥39856. Using exchange r
    5·2 answers
  • Clint found the area of the parallelogram shown. Which statement explains the error Clint made?​
    16·2 answers
  • Rachel states that -5.5 is an integer because it is negative. Is she correct. Why or why not?
    8·2 answers
  • the cylindrical bucket contains 314 cubic inches of water. the height of the water is 4 inches. what is the radius of the bucket
    13·1 answer
  • I WILL GIVE YOU BRAINLIEST Jessica's friend tried to find the side length of a square garden, but made a mistake: 12 24*+ 13 12
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!