Veronica has two offers for a $65,000 student loan. The first loan has a 6.3% interest rate for 15 years, and the second loan has a 4.8% interest rate for 20 years. Both loans have interest compounded every month. Veronica is interested in finding the loan that minimizes the amount of interest that she will pay over the life of the loan. Which loan has a lower amount of interest paid?

Answers

Answer 1

The second option has a lower amount of interest paid.

In order to determine the loan option that minimizes loan payment, the future value of both loan options has to be determined.

FV = P (1 + r)^nm

FV = Future value  

P = Present value  

R = interest rate  

m = number of compounding

N = number of years  

First loan option

65000( 1 + 0.063/12)^300 = 312,707.21

Second loan option

65000( 1 + 0.048/12)^240 = 169,435.51

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Related Questions

I will give Brainliesttttt :D!

A car's gas mileage is the distance it can go using 1 gallon of gas (measured in miles per gallon).

Based on the graph, what is this car's gas mileage? Explain.​

Answers

Answer:

20 mpg

Step-by-step explanation:

Answer:

The car is traveling 20 miles per gallon.

Step-by-step explanation:

There are two ways you can solve this.

1) Since this is a graph of the car's gas mileage, all you have to do is look to find the miles for one gallon, which is plotted in this case. As you can see, for one, it is plotted halfway between 0 and 40, so that means the mile number would be 20. Looking at this, the car travels 20 miles per gallon.

2) You can also look at the point at the top that is clearly defined, and the point is (12, 240), 12 gallons used for 240 miles. To get the exact number of miles for one mile, you would divide 12 and 240 both by 12, which results in (1, 20). Since it is miles per gallon, the car gas mileage is 20 miles per gallon.

Hope this helped and have a great day!

f(x-1)=3x²-7x+8, find f(x)​

Answers

Answer:

  f(x) = 3x² -x +4

Step-by-step explanation:

Use (x+1) for x and simplify.

  f((x+1) -1) = 3(x +1)² -7(x +1) +8

  f(x) = 3(x² +2x +1) -7x -7 +8

  f(x) = 3x² -x +4

A recipe asks for 4 1/2 pounds of chicken.

How many pounds of chicken are needed to make 1/2 of a recipe?

Express the answer in simplest form.

Enter the answer in the box.

Answers

Answer:

2/1/2 you need 2and 1/2 of chicken

An object is launched directly in the air at a speed of 8 feet per second from a platform located 4 feet above the ground. The position of the object can be modeled using the function f(t)=−16t2+8t+4, where t is the time in seconds and f(t) is the height, in feet, of the object. What is the maximum height, in feet, that the object will reach?

Answers

The maximum height is 68 ft. The easiest way to find this answer is by using the online desmos graphing calculator. It is a lifesaver

Relatively Simple Math, pls lend a hand. 50 points and Brainliest

Answers

B is the correct answer ,,,

Answer: B

Step-by-step explanation:

A new hotel was built with r rooms. The first weekend it was open, 3/5 of them were reserved. Which of the following expressions represents the number of rooms which were reserved?
A r-3/5
B r x 3/5
C r+3/5
D ÷3/5

Answers

Answer:

D ÷3/5 that's the answer i think I worked it out myself

The problem 7,291 ÷ 19 is solved below using partial quotients. Identify what partial quotient was used in each step. Then, identify your final quotient.

Seven thousand two hundred ninety one minus five thousand seven hundred equals one thousand five hundred ninety one minus one thousand five hundred twenty equals seventy one minus fifty seven equals fourteen. Arrows pointing to step one, two, and three. You can not make anymore groups of nineteen. What is left becomes your remainder ill give brainliest

Answers

Using the partial quotient method, it is found that:

The partial quotients used in each step are as follows: 300, 80, The final quotient is of: 383.

Partial quotient method

When division is done applying the partial quotient method, consecutive subtractions are done with n groups of the divisor.

Each partial quotient is the number of groups, and the final quotient is the sum of the partial quotients.

In this problem, the divisor is as follows;

19.

The first subtraction is by 5700, which is 5700/19 = 300 groups of 19, hence the first partial quotient is of 300.

The second subtraction is by 1520, which is 1520/19 = 80 groups of 19, hence the second partial quotient is of 80.

The third subtraction is by 57, which is 57/19 = 3 groups of 19, hence the third partial quotient is of 3.

Then the final quotient is given as follows:

300 + 80 + 3 = 383.

Missing Information

The subtractions are given by the image at the end of the answer.

More can be learned about the partial quotient method at https://brainly.com/question/2059458

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1cm +4cm+2cm+1.5cm+2.5cm
find its perimeter

Answers

Answer:

11 cm

Step-by-step explanation:

add whole numbers

1 + 4 + 2 = 7

add decimal numbers

1.5 + 2.5 = 4

add the answers

7 + 4 = 11

have a splendid day <3

Answer:

11cm

Step-by-step explanation:

To find perimeter, you simply just add each of the side lengths.

To make this easier to read, lest group some of the terms

1cm + 4cm = 5cm

2cm + 1.5cm = 3.5cm

5cm + 3.5cm = 8.5cm

8.5cm + 2.5cm = 11cm

The five terms are bolded to make sure that we added each term in the sum.

Two decimal for 2597.58333

Answers

Answer:

2597. 58000 and this is the ans

please help meeeee c:

Answers

Answer:

x = - 2

Step-by-step explanation:

Don't let the points disturb you. They are actually meant to confuse you.

How many different 3 topping pizzas can be made if 10 different toppings are available?

Answers

Assuming you can’t use the same topping twice,
10 x 9 x 8 = 720

9514 1404 393

Answer:

  120

Step-by-step explanation:

We assume the order of the toppings does not matter. Then the number of interest is the number of combinations of 10 toppings taken 3 at a time. That is given by ...

  10C3 = C(10, 3) = 10!/(3!(10 -3)!) = 10·9·8/(3·2·1) = 120

120 different 3-topping pizzas can be made if 10 toppings are available.

_____

Additional comment

If order matters, then 10 choices can be made for the first topping, 9 for the second, and 8 for the third, for a total of 10×9×8 = 720 different pizzas.

The numbers and letters on a license plate are determined by the state that issues the license
plate. Suppose a state had a system that used 5 letters and 2 digits for a total of 7 characters on
a license plate. How many different license plates can this system produce?

297, 034, 400
594, 068, 800
1, 188, 137, 600
O 2, 376, 275, 200

Answers

2, 376, 275, 200 if do the right calculations then you will get the full answer of 2,376,275,200

Two hundred fifty tickets are sold at a fund raiser. If Sarah buys 15 tickets, the probability that she will win the prize quilt is
.

Answers

Answer:

6%

Step-by-step explanation:

15/250=3/50   or 6%

The probability that Sarah would win the prize quilt given the tickets she bought  is 6%.

What is the probability?

Probability is how likely it is that a stated event would happen. The probability of the event happening lie between 0 and 1.

The probability that Sarah would win the prize quilt = number of tickets bought / total number of tickets

(15 / 250) x 100 = 6%

To learn more about probability, please check: https://brainly.com/question/13234031

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Determine the total of each rectangle.Each number inside the rectangle represent the area of the smaller rectangle while each number along the side represents the length of the position on the side

Answers

Answer:

Hmmm, maybe this?

Step-by-step explanation:

thanks i'll mark brainliest ​

Answers

Answer:

1.

Step-by-step explanation:

Graph algebra problem! Can anybody help me out as graphs are definitely not my strong suit.​

Answers

Answer:

f(2) = 5

Step-by-step explanation:

Definitions:

Input values = x-coordinates.

The input values are also known as the domain, which is the set of all real numbers. With the domain of a function, you could substitute any real number into a given function for x and produce a valid output.

Output values = y-coordinates

The range is the set of all real numbers that depend on the input values plugged into the function. Thus, the range represents the output (y-values) that corresponds to the input values used into the function. Function Notation:In the function notation f(x), f  is the function name, and x is your input variable.  Output values are also called functional values.  You could use any letter to represent a function name, such as g(x), w(x), etc.,.Explanations:

This particular question asks for you to identify the corresponding output (y-value) of the given input value, x = 2.  If you look at the graph, the x-coordinate, x = 2, corresponds to the y-coordinate of 5.

Therefore, f(2) = 5.  

Attached is an edited screenshot of the graph that you posted, where it shows where f(2) = 5 is located on the graph.

Answer:

  f(2) = 5

Step-by-step explanation:

The 2 in f(2) means you're looking for the value of the function when x=2.

Find the vertical line that is the 2nd one to the right of the y-axis. Follow it up until you reach the function line (at the top edge of the graph). The y-value there is the value of f(2). That is 5 squares above the x-axis, so ...

  f(2) = 5

mega movies hotel a fil premiere on Friday night. they charged $7 for adults and $5 for children. One hundred twenty-three adults and children attended, and $829 was made in ticket sales. How many children and how many adults went to the film premiere?

Answers

Answer:

107 adults 16 children

Step-by-step explanation:

can i get brainlest

Javier is working in a lab testing bacteria populations. After starting out with a population of 378 bacteria, he observes the change in population and notices that the population doubles every 36 minutes. Find the equation for the population P in terms of time t in minutes. Round values to three decimal places.

Answers

This can be represented by the exponential function:

[tex]P=378(2)^\frac{t}{36}[/tex]

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the factor.

Let P represent the population of the bacteria after t minutes.

Since the bacteria starts with a population of 378, hence a = 378. The bacteria doubles every 36 minutes, This can be represented by:

[tex]P=378(2)^\frac{t}{36}[/tex]

Find out more at: https://brainly.com/question/12490064

4. Find the sum of all the numbers from 100 to 199 that are not divisible by 13.
What is the formula for
this?

Answers

There are 100 numbers in the range 100-199. Find the smallest and largest multiple of 13 in this range. We have

104 = 8•13

195 = 15•13

so there are 15 - 8 + 1 = 8 multiples of 13 between 100 and 199.

Then the sum we want is

[tex]\displaystyle \sum_{k=100}^{199} k - \sum_{\ell=8}^{15}13\ell[/tex]

or equivalently,

(100 + 101 + 102 + … + 199) - 13 (8 + 9 + … + 15)

To compute these sums, recall the following formula:

[tex]\displaystyle \sum_{i=1}^n i = 1 + 2 + 3 + \cdots + n = \frac{n(n+1)}2[/tex]

Then

[tex]\displaystyle \sum_{k=100}^{199} k = \sum_{k=1}^{199} k - \sum_{k=1}^{99} k = \frac{199\cdot200}2 - \frac{99\cdot100}2 = 14,950[/tex]

and

[tex]\displaystyle \sum_{\ell=8}^{15} 13\ell = 13 \left(\sum_{\ell=1}^{15} \ell - \sum_{\ell=1}^7 \ell\right) = 13 \left(\frac{15\cdot16}2 - \frac{7\cdot8}2\right) = 1,196[/tex]

which means the sum we want is 14,950 - 1,196 = 13,754.

i need help! i will be giving brainliest if you actually show the work and dont troll :)

Answers

Answer:

you do 215 times $0.25 you get $53.75 you take that away from $3272.30 you get $3218.55 then you divide that by 215 you get $14.97 so the answer is she makes $14.97 on one pair of earrings.

Step-by-step explanation:

Plz mark brainliest

A bookshelf contains 6 German books, 4 Spanish books and 7 French books. Each book is different from one another. How many different arrangements can be done of these books if

Answers

Answer:

17 different arrangements

Step-by-step explanation:

6+4+7=17

Serena has 24 apps on her tablet. Of these apps, 6 are games. What percent of Serena's apps are games?​

Answers

Answer:

25%

Step-by-step explanation:

Like and give 5 star rating

Mark brainllest please

pls help me I will try to give brainleist bc i don't know how

Answers

Answer:

2195

Step-by-step explanation:

filler filler filler lol

Answer: 2,195

Step-by-step explanation:

439x5

9x5=45

3x5+4=19

4x5+1=21

2195

The slope of the line whose equation is 2x + 5y + 1 = 0 is

Answers

Answer:

the slope is -2/5

Step-by-step explanation:

Solve for y.

2x + 5y + 1 = 0

5y = -2x - 1

y = -2/5 x - 1/5

Compare to

y = mx + b, where m is the slope.

m = -2/5

Answer: the slope is -2/5

what is the inverse of f(x) = x2 − 36

Answers

I think it’s x-2 + 36

Which equation represents a line that is parallel to the line 4x-3y=15
1) y = -4/3x - 4
2) y = -3/4x - 2
3) y = 4/3x + 2
4) y = 3/4x - 6

Answers

Answer:

1

Step-by-step explanation:

because... it is

the value of 3 1/5 - 1 2/3 is?

please write the answer with sums and explanations

anyone with the correct answer will be given 10-20 points and will be marked as Brainliest ​

note: it's not 31 or 12 it's seperated

Answers

QUESTION :-

The value of 3 1/5 - 1 2/3

ANSWER :-

[tex] = > \: \frac{16}{5} \times \frac{5}{3} \\ [/tex]

Take Lcm by the denominator ( check the pic )

[tex] = > \: ( \frac{16 \times3 }{5 \times 3} ) \: = \: \frac{48}{15} [/tex][tex] = > \: ( \frac{5 \times 5}{3 \times 5} ) \: = \: \frac{25}{15} [/tex]

Now subtract this

[tex] \frac{48}{15} - \frac{25}{15} = \: \frac{23}{15} [/tex]So , now ur ans is :-

[tex] \frac{23}{15} [/tex]

Question:[tex] \rightarrow[/tex] the value of 3 1/5 - 1 2/3 is?

=================================================

Answer:

[tex] \large\rightarrow \tt 1 \frac{8}{15}[/tex]

=================================================

Explanation/Solution:

To solve the problem, let's find the LCM or Latest Common Multiple.

[tex]\tt5 \underline{ | \tt5, \: 3} \\ \tt3 \underline{ \tt |1, \: 3} \\ \: \: \: \: \tt1, \: 1[/tex]

[tex] \rightarrow [/tex] LCM = 5 x 3 = 15

[tex] \\ [/tex]

Since the LCM is already finished let's solve for the both numerator and denominator.

[tex]\rightarrow \: \tt3 \frac{1 \times 3}{5 \times 3} = 3 \frac{3}{15} \\ \\ \rightarrow \: \tt1 \frac{2 \times 5}{3 \times 5} = 1 \frac{10}{15} [/tex]

Since both of the fractions cannot be subtracted from each other, then let's make it to a improper fraction.

[tex] \rightarrow \: \tt3 \frac{3}{15} = 3 \times 15 + 3 = \frac{48}{15} \\ \\ \rightarrow \: \tt1 \frac{10}{15} = 1 \times 15 + 10 = \frac{25}{15} [/tex]

Now its time to subtract.

[tex]\rightarrow \: \tt \frac{48}{15} - \frac{25}{15} = \frac{23}{15} \: \: or \: \: 1 \frac{8}{15} [/tex]

Therefore, the answer is 1 8/15.

=================================================

[tex] \underline{{\sf \: \: \#CarryOnLearning! \: \:}} [/tex]

Pls help I’ll brainlest ASAP


Make this sentence better the building is old and ugly

Answers

Answer:

the building is aged and unique.

How many lumps of wax 22 cm by 2 cm by 1 cm can be cut from a block 25 cm by 20 cm by 15 cm?

Answers

Answer:

To get least possible number of cubes, first find the HCF of 6, 12 and 15

HCF of 6, 12 and 15 = 3

Least possible number of cubes = (6/3)×(12/3)×(15/3)

=2 × 4 ×5

= 40

When I visit my brother it is a 532 mile round trip. If I visit my brother once a month how many miles would I travel in a year round the miles to the nearest thousands to estimate the answer

Answers

Answer:

6384 is the exact answer.

6000 is the answer rounded to the nearest thousand

Step-by-step explanation:

Answer:

6000

Step-by-step explanation:

532 X 12 = 6384 rounded would be 6000 miles a yr

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