Randy took out a subsidized student loan of $7,000 at a 3.6% APR, compounded monthly, to pay for his last semester of college. If he will begin paying off the loan in 10 months with monthly payments lasting for 20 years, what will be the total amount that he pays in interest on the loan?

A.) 10,128.00

B.) 9,830.40

C.) 2,830.40

D.) 3,128.00

Answer:

Resolved.

Step-by-step explanation:

Answer:

The Answer is B. I had this a few months ago. Good luck with Apex!

Your molarity would be 0.975 M HCl because it’s moles of solute divided by liters of solvent

The answer would be 0.975

Answer:

[tex]A=240\ m^{2}[/tex]

Step-by-step explanation:

we know that

A rhombus is a parallelogram with four congruent sides, the diagonals are perpendicular bisectors of each other

The area of a rhombus is equal to

[tex]A=\frac{1}{2}(D1*D2)[/tex]

where

D1 and D2 are the diagonals

In this problem we have

[tex]D1=16\ m[/tex]

Applying the Pythagoras Theorem find D2

[tex]17^{2} =(D2/2)^{2}+(16/2)^{2}[/tex]

[tex](D2/2)^{2}=17^{2}-(16/2)^{2}[/tex]

[tex](D2/2)^{2}=225[/tex]

[tex](D2/2)=15[/tex]

[tex]D2=30\ m[/tex]

Find the area of the rhombus

[tex]A=\frac{1}{2}(16*30)=240\ m^{2}[/tex]

Answer:  7

Step-by-step explanation:

The 1st spinner can land on 2, 3, 4, or 5

The 2nd spinner can land on 2 or 3

The 3rd spinner can land on 6, 7, or 8

1st spinner + 2nd spinner + 3rd spinner:

2 + 2 + 6 = 10,    2 + 2 + 7 = 11,     2 + 2 + 8 = 12    --> 3 different sums

2 + 3 + 6 = 11,     2 + 3 + 7 = 12,     2 + 3 + 8 = 13   --> 1 different sum

This pattern follows where the only new sums are as follows:

                                                       3 + 3 + 8 = 14

                                                       4 + 3 + 8 = 15

                                                       5 + 3 + 8 = 16

This makes a total of 7 different sums.

62 inchezzzzzzz so 60-4 = 56 --- 56 +6 = 62

This statement is false.

Step-by-step explanation:

Credit cards can only lead to debt that is difficult to eliminate and should be avoided at all costs. This is false.

This is not a standard statement that credit cards always lead to debt. A person should use his credit card with responsibility. He should pay the bills timely to avoid accumulation of debt and other fines. Only when a person uses his card irresponsibly and does not pay dues timely, can lead to debts.

So, this is a false statements.

Answer:

False

Step-by-step explanation:

Answer:

C. Each Sandwich has 1/4 pounds of ham

Step-by-step explanation:

Answer:

The perimeter would then be squared

Step-by-step explanation:

Since each length is being multiplied by 2 the you have 2 of the same perimeters. So you just add them together or square it.

Subtract the mean from Jake's score:

520 - 500 = 20

No divide that by the standard deviation:

20/60 = 0.33

This means Jake scored 0.33 standard deviations above the mean.

Now using the Z-table find 0.33:  0.33 = 0.6293 = 62.93% of students scored below Jake.

Rounded to nearest whole number = 63%

Answer:

63% of students

Step-by-step explanation:

Z = (X  -  μ) / σ

Z = 520 - 500 / 60

Z = 0.33

ON THE Z-TABLE

0.33 = 0.6293

62.93%  =  63% of students answer

Answer:

3 hours and 45 minutes

Step-by-step explanation:

The time to travel 180 miles at an average speed of 48 miles per hour is approximately 3.75 hours. This was calculated using the formula Time = Distance / Speed.

The question is based on time, speed, and distance, all correlating with each other, and to solve, we will use the following frequently used formula:

Time = Distance / Speed

We can substitute the given values into our formula. We know our distance is 180 miles and our speed is 48 miles per hour. So, our equation becomes:

Time = 180 miles / 48 miles per hour

After calculating this equation, we get approximately 3.75 hours.

So, it would take approximately 3.75 hours to travel 180 miles at an average speed of 48 miles per hour.

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Answer:

its C

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

m∠H = 50°

∠H is a inscribed angle, and so that the intercepted arc would be twice the amount of the angle.

Arc KI = 100°

Because ∠KGI & ∠HKI share the same arc, the measurement for ∠KGI will be the same as ∠HKI, or 50°

m∠KGI = 50°

Next, find m∠KJI. arcKJI = 2(∠H) = 2(50) = 100

m∠KJI = 100°

~

Answer:

Step-by-step explanation:

You wouldn’t put y over x Which is 15/3 you would divide which gives you five. So your tan theta would be 5

Answer:

it's definitely 3 on odyssey. tan theta= y/x =3.

Step-by-step explanation:

Answer:

10.4

Step-by-step explanation:

To get the property's gross income multiplier (GIM), you divide its appraised value by its gross annual rental income.

Rental income = 2 × $1400/1 month × (12 months/1 yr)

= $33 600/yr

GIM = $350 000/$33 600 = 10.4  

The property's GIM is 10.4.

Answer:

a)SSS b)AAS c)SAS d)SSS e)AAS dont worry i passed this lesson with a 100% if i am wrong then come and kill me :) i am sure it is right

Step-by-step explanation:

Final answer:

The rules for triangle congruence based on the given statements are SSS, ASA, SAS, SSS, and AAS, which are applied when certain combinations of angles and sides are congruent in two triangles.

Explanation:

To name the rule for each statement given for triangle congruence, we can apply the following:

a) SSS (Side-Side-Side) Congruence Postulate: Each pair of corresponding sides is congruent.

b) ASA (Angle-Side-Angle) Congruence Postulate: Two pairs of corresponding angles and one pair of corresponding sides are congruent.

c) SAS (Side-Angle-Side) Congruence Theorem: Two pairs of corresponding sides and the angles included between them are congruent.

d) SSS (Side-Side-Side) Congruence Postulate: Three sides of one triangle are congruent to three sides of a second triangle.

e) AAS (Angle-Angle-Side) Congruence Theorem: Two angles and a non-included side of each triangle are congruent.

These rules are foundational in establishing triangle congruence and are applied based on different combinations of sides and angles of triangles.

The interest rate required to increase an investment of $2700 to $6400 in 3 years, using the formula r=(a/p)^(1/t) - 1, is approximately 38.5% per year when compounded annually.

The subject at hand deals with the concept of finding the interest rate on an investment. The provided equation, which represents the interest rate formula, is: r=(a/p)^(1/t) - 1. Here, the variables represent the following: r is the interest rate, a is the amount of money accumulated after t years (the future value of the investment), p is the principle/original amount (the initial value of the investment), and t is the time in years. By inserting the given values (p = 2700, a = 6400, t = 3) into the formula, we get: r = (6400 / 2700)^(1 / 3) - 1.

The next step is to calculate the arithmetic for the values inside the parenthesis first, then raise it to the power of 1/3 (which is the cube root), and finally subtract 1 from the result. Doing these calculations you obtain approximately 0.385, or 38.5% when expressed as a percentage. So, the interest rate that is required to increase your investment of $2700 to $6400 in 3 years is approximately 38.5% per year when compounded annually.

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ANSWER

A. 73

EXPLANATION

The given expression is

[tex](2{x})^{2} - 3{y}^{2} [/tex]

We substitute x=5 and y=3 to obtain:

[tex](2 \times 5)^{2} - 3{(3)}^{2} = {10}^{2} - 3 \times 9[/tex]

This simplifies to,

[tex] = 100 - 27[/tex]

[tex] = 73[/tex]

The correct choice is A.

Final answer:

To determine if there is a significant difference between two polishing solutions, a two-proportion z-test can be used, comparing the proportions of polishing-induced defects. If the p-value is less than the significance level (0.01), the null hypothesis is rejected.

Explanation:

To determine if there is a significant difference between the two polishing solutions used in tumble-polishing intraocular lenses, we can perform a hypothesis test. The null hypothesis (H0) is that there is no difference between the proportions of polishing-induced defects for the two solutions, while the alternative hypothesis (Ha) is that there is a difference.

We can use a two-proportion z-test to compare the proportions of defects. The z-test statistic is calculated as:

z = (p1 - p2) / [tex]\sqrt{(p1q1/n1)[/tex] + (p2q2/n2))

where p1 and p2 are the proportions of defects, q1 and q2 are 1-p1 and 1-p2 respectively, and n1 and n2 are the number of lenses polished with each solution. The p-value for this test can be calculated using a standard normal distribution table or a statistical software.

If the p-value is less than the significance level α (0.01 in this case), we reject the null hypothesis and conclude that there is a significant difference between the two polishing solutions.

The p-value for this test cannot be determined without the actual values of p1, p2, q1, q2, n1, and n2.

Answer: option a.

Step-by-step explanation:

By definition, we know that:

[tex]cos^2(\theta)=1-sen^2(\theta)\\\\tan(\theta)=\frac{sin(\theta)}{cos(\theta)}[/tex]

Substitute [tex]sin(\theta)=\frac{6}{11}[/tex] into the first equation, solve for the cosine and simplify. Then, you obtain:

[tex]cos(\theta)=\±\sqrt{1-(\frac{6}{11})^2}\\\\cos(\theta)=\±\sqrt{\frac{85}{121}}\\\\ cos(\theta)=\±\frac{\sqrt{85}}{11}[/tex]

As [tex]sec\theta<0[/tex] then [tex]cos\theta<0[/tex]:

[tex]cos(\theta)=-\frac{\sqrt{85}}{11}[/tex]

Now we can find [tex]tan\theta[/tex]:

[tex]tan\theta=\frac{\frac{6}{11}}{-\frac{\sqrt{85}}{11}}\\\\tan\theta=-\frac{6\sqrt{85}}{85}[/tex]

Answer:

a

Step-by-step explanation:

Answer:

D.m=15t

Step-by-step explanation:

If the number of tickets is t and the total amount of money collected is m then a product of the price per ticket with the cost of the ticket gives the amount of money collected from the sale of the tickets.

therefore m= t×15

              m=15t

Answer:

D. m = 15t

Step-by-step explanation:

We have to assume that m is supposed to stand for the money (in dollars) that results from the sale of t tickets. Then the sale of t=1 ticket will result in m=15 dollars. Only one of the offered formulas will give this result:

m = 15t

_____

Comment on the problem

Variables need to be defined. We'd prefer to see some discussion of how concert expenses are covered, so we can be assured that ticket sales directly relate to money raised.

The answer you are looking for is the first 1, or a. hope this helps. Please mark me as brainliest.

Answer:

The first line is the correct answer.  because of the ≤ sign it means that circle will be closed and the line will be to the left. A trick is if you picture the sign as an arrow then that will be which way the line will go. ;) Hope this helps!

Answer:

See below.

Step-by-step explanation:

1.  (1 / 2)[cos(a – b) – cos(a + b)]

= 1/2 ( cosa cosb + sina sinb - (cosa cosb - sina sinb)

= 1/2 ( cosa cosb - cosa cos b + sina sinb + sina sinb)

= 1/2 ( 2 sina sinb)

= sina sinb.

(I  used the 2 identities   cos(a - b) = cosa cosb + sina sinb) and

cos (a + b) = cosa cosb - sina sinb.)

2.  sin (π/2 - x)  = sin (π/2) cos x - cos(π/2) sin x

     =    1 * cos x - 0 * sinx  

     =   cosx - 0

     = cos x.

  (I used the identity sin(a - b) = sina cosb - cosa sinb

 and the fact that  sin(π/2) = 1 and cos (π/2) = 0. )

Answer:

1. sin a sin b = (1 / 2)[cos(a – b) – cos(a + b)]

Calculation:

Taking L.H.S. of above equation

                    (1 / 2)[cos(a – b) – cos(a + b)]

                 = (1 / 2) [ (cos a cos b + sin a sin b) - (cos a cos b - sin a sin b)]

                           {∵ cos(a – b) = cos a cos b + sin a sin b     &    cos(a + b) = cos a cos b - sin a sin b}

                 = (1 / 2) [ cos a cos b + sin a sin b - cos a cos b + sin a sin b]

                 = (1 / 2) [2 sin a sin b]

                 = sin a sin b

2. sin((π / 2) – x) = cos x

Calculation:

sin((π / 2) – x) = sin (π / 2) cos x - cos (π / 2) sin x

                                                      {∵sin(a - b) = sin a cos b - cos b sin a                                                    

                                                       &  sin (π / 2)  =  1   &  cos (π / 2) = 0}

                       = 1 × cos x - 0 × sin x

                       = cos x

Answer:

28 >= 0.25x > 25

Step-by-step explanation:

25% of x

1) Greater than 25: 25%x > 25

2) Less than and equal to 28: 25%x <= 28

25%x = 25/100 * x = 0.25x

1 and 2:

28 >= 0.25x > 25

//I hope this is what you are looking for. Not sure it's right

Answer:

Step-by-step explanation:

cos(a-b)-cos(a+b)=2(sina x sinb)

using formulae of cos (a-b) & cos(a+b)

cos a cos b + sina sinb - cosa cosb + sina sinb=2 sina sinb

2 sina sinb = 2 sina sinb

proved!

Answer:

4.50 yr

Step-by-step explanation:

I assume that this is compound interest.

The compound interest equation is

[tex]A = P(1+ \frac{r }{ n})^{nt}[/tex]

You don't give the frequency of compounding, so I assume that it is once per year.

Data:

A = ₹117 000

P = ₹90 000

r = 6 % = 0.06

n = 1

Calculations:

[tex]117 000 = 90 000(1+ \frac{0.06 }{ 1})^{1 \times t}[/tex]

[tex]117 000 = 90 000(1+ 0.06)^{t}[/tex]

Divide each side by 90 0000

[tex]1.3 = 1.06^{t}[/tex]

Take the logarithm of each side

log1.3 = tlog1.06

0.1139 = 0.025 31t

Divide each side by 0.025 31

t = 4.50 yr

You can buy your magic carpet in 4.50 yr.

Answer: is 5

all you have to do is                          \(^o^)/

(1,17,000−90,000)=27,000

1 year =6%of 90,000

1%of 90,000=900

6% of 90,000=(6*900)

1 year =5400

27,000 u divide that by 5400=5 soooooooooo......

Answer: $85

Step-by-step explanation: The formula for interest is I = PRT, where I equals interest, P equals principal, R equals rate and T equals time.

I = 1,700 x .05 x 1 = $85

You can expect to earn $85 interest for one year on the security deposit.

Answer:

Option C

no, because the remainder is 126

Step-by-step explanation:

Given the polynomial equation in the question

-3x^{3}+6x^{2}+6x+9

factor =  x + 3 (divisor)

          -3x² + 15x - 39             Quotient

          --------------------------------

x + 3|  -3x³ + 6x² + 6x + 9     Dividend

        |  -3x³ - 9x²

                   ----------------------

                      15x² + 6x + 9

                      15x² + 45x

                      --------------------

                               -39x + 9

                               -39x - 117

                                 -------------

                                           126   Reminder

Since reminder is not zero so (x + 3) is not factor of -3x³ + 6x² + 6x + 9.

(x-3) is the factor of  -3x³ + 6x² + 6x + 9.

Answer:

chese is th awnser

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

z=(180-124-16)/2

Here is your answer

[tex]<b>z= 20 degrees</b>[/tex]

REASON:

[tex]<font color="blue" size=5>Concept used</font>[/tex]: The sum of adjacent angles of a parallelogram is 180 degrees.

So, in above given figure

[tex] 2z+16+124=180 [/tex] (measures of adjacent angles)

[tex]2z+140=180 [/tex]

[tex] 2z=180-140 [/tex]

[tex]2z=40 [/tex]

[tex]z= 40/2 [/tex]

[tex]z= 20 [/tex]

HOPE IT IS USEFUL

Answer:

52.07

Step-by-step explanation:

We know that the sin of an angle is equal to the opposite side divided by the hypotenuse

sin  51 = opposite side/ hypotenuse

sin 51 = x/67

Multiply each side by 67

67 sin 51 = x

52.06877942=x

To the nearest hundredth

52.07 =x