MATHEMATICS HIGH SCHOOL

What is the slope of the line passing through the points (-3, 4) and (2, - 1)? A -1B 1
C 3/5
D - 5/3​

Answers

Answer 1
Answer:

Answer:

A

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y_(2)-y_(1) )/(x_(2)-x_(1) )

with (x₁, y₁ ) = (- 3, 4 ) and (x₂, y₂ ) = (2, - 1 )

m = (-1-4)/(2-(-3)) = (-5)/(2+3) = (-5)/(5) = - 1 → A

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Answers

Solutions 

To solve the problem the first step is to multiply the whole number by the fraction's denominator (4 x 3).Add the numerator (2) to the product. 

4 * 3 = 12 

12 + 2 = 14 

= 14/3 
First multiply the denominator by the whole number.
3*4=12
Now add the numerator.
12+2=14
14 is the numerator,  denominator stays the same.
You answer is 14/3!

Dahlia is trying to decide which bank she should use for a loan she wants to take out. In either case, the principal of the loan will be $19,450, and Dahlia will make monthly payments. Bank P offers a nine-year loan with an interest rate of 5.8%, compounded monthly, and assesses a service charge of $925.00. Bank Q offers a ten-year loan with an interest rate of 5.5%, compounded monthly, and assesses a service charge of $690.85. Which loan will have the greater total finance charge, and how much greater will it be? Round all dollar values to the nearest cent.a.
Loan Q’s finance charge will be $83.73 greater than Loan P’s.
b.
Loan Q’s finance charge will be $317.88 greater than Loan P’s.
c.
Loan P’s finance charge will be $20.51 greater than Loan Q’s.
d.
Loan P’s finance charge will be $234.15 greater than Loan Q’s.

Answers

To solve this, we are going to use the loan payment formula: P= ( (r)/(n)(PV))/(1-(1+ (r)/(n))^(-nt) )

where

P is the payment

PV is the present debt

r is the interest rate in decimal form

n is the number of payments per year

t is the time in years

For Bank P

We know from our problem that the the principal of the loan will be $19,450, so PV=19450. We also know that Bank P offers a nine-year loan with an interest rate of 5.8%, compounded monthly , so t=9 and r=(5.8)/(100) =0.058. Since Dahlia will make monthly payments, and a there are 12 months in a year, n=12. Lets replace the values in our formula:

P= ( (r)/(n)(PV))/(1-(1+ (r)/(n))^(-nt) )

P= ( (0.058)/(12)(19450))/(1-(1+ (0.058)/(12))^(-(12)(9)) )

P=231.59

Now we know that the monthly payment of Dahlia is $231.59. Since we know that she is going to make 12 monthly payments for 9 years, we can calculate the future value of the loan multiplying the amount of the monthly payments ($231.59) by the number of monthly payments (12) by the number of years (9):

FV=(231.59)(12)(9)

FV=25011.72

Now we know that she is is going to pay $25,011.72 for her loan. Finally, to calculate the total finance charge, we are going to subtract the original loan ( $19,450) from the future value of the loan ($25,011.72), and then, we are going to add the service charge ($925.00):

FinanceCharge=(25011.72-19450)+925

FinanceCharge=6486.72

The total finance charge of bank P is $6,486.72

For Bank Q

We are going to repeat the same procedure as before.

P=19450, r=(5.5)/(100) =0.055, n=12, and t=12. Lets replace the values in our formula:

P= ( (0.055)/(12)(19450))/(1-(1+ (0.055)/(12))^(-(12)(10)) )

P=211.08

Now that we have our monthly payment, we can calculate the future value of the loan multiplying the amount of the monthly payments ($211.08) by the number of monthly payments (12) by the number of years (10):

FV=(211.08)(12)(10)

FV=25329.6

Just like before, to calculate the total finance charge, we are going to subtract the original loan ( $19,450) from the future value of the loan ($25,329.6), and then we are going to add the service charge ($690.85):

FinanceCharge=(25329.6-19450)+690.85

FinanceCharge=6570.45

The total finance charge of bank Q is $6570.45

Notice that the finance charge of ban Q is greater than the finance charge of bank P, so we are going to subtract the finance charge of bank Q from the finance charge of bank P:

6570.45-6486.72=83.73

We can conclude that Loan Q’s finance charge will be $83.73 greater than Loan P’s. Therefore, the correct answer is a.

Answer:

a. Loan Q’s finance charge will be $83.73 greater than Loan P’s.

Step-by-step explanation:

Help first gets brainly

Answers

Answer:

1. 100        1. 150           1. 1

2.45          2. 800

Step-by-step explanation:

1. 25% * 400 = 0.25 * 400 = (1)/(4) * 400 = 100

2. 50% * 90 = 45

1. 75% * 200 = 0.75 * 200 = 3/4 * 200 = 150

2. 10% * 8000 = 0.1 * 8000 = 800

1. 5% * 20 = 0.05 * 20 = 1

How much compound interest is earned on $4300 at 2.9% interest for 10 years, compounded quarterly?

Answers

The final sum of money will be $13492, and earnings will therefore be $9192.

Which table of values could be generated by the equation 4y-2x=16?

Answers

The table of values by the equation 4y - 2x = 16 is (d)

How to determine the table of values?

The table of values that complete the question is added as an attachment

The equation is given as:

4y - 2x = 16

Add 2x to both sides

4y = 2x + 16

Divide through by 4

y = 0.5x + 4

Set x = 0, 2 and 4

y = 0.5(0) + 4 = 4

y = 0.5(2) + 4 = 5

y = 0.5(4) + 4 = 6

So, we have:

x    y

0    4

2    5

4    6

Hence, the table of values by the equation is (d)

Read more about linear equations at:

brainly.com/question/14323743

#SPJ6

If f(x) varies directly with x and f(x) = 2 when x = 10, then what is the value of f(x) when x = 40?a.8
b.45
c.200
d.320

Answers

Answer: a.8

Step-by-step explanation:

Given : If f(x) varies directly with x and f(x) = 2 when x = 10

We know  if two quantities (x and f(x)) are directly proportional then

(x_1)/(f(x_1))=(x_2)/(f(x_2))

Now, for the given problem we have ,

(10)/(2)=(40)/(f(40))\n\n\Rightarrow\ f(40)=(40*2)/(10)\n\n\Rightarrow\ f(40)=8

Hence, if  x = 40, then f(x)=8.
this is simple multiplication
do 2*4 and 10*4
so you get f(x)=8 and x=40

if you wanna do it by doing division do
2=10
f(x)=40
cross multiply then divide
so do 2*40 to get 80
then do 80/10 to get 8
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