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aivan3 [116]
3 years ago
11

Which is an equation of the line that passes through the points (-1,9) and (4, 24)?

Mathematics
1 answer:
choli [55]3 years ago
4 0

Answer:

y = 3x + 12

Step-by-step explanation:

Slope (m) = 24-9/4-(-1)

= 25/5

= 3

Using point (-1 , 9)

y - y1 = m (x - x1)

y - 9 = 3 (x - -1)

y - 9 = 3 (x + 1)

y - 9 = 3x + 3

y = 3x + 3 + 9

y = 3x + 12

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On the 40th birthday, Mr. Ramos decided to buy a pension plan for himself. This plan will allow him to claim
Mama L [17]

Answer:

The amount of one-time payment should he make on his 40th birthday to pay off his pension plan is P32,880.77.

Step-by-step explanation:

Step 1: Calculation of present value on 3 months after his 60th birthday

The present value on 3 months after his 60th birthday can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV60 = Q * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV60 = present value on 3 months after his 60th birthday = ?

Q = quarterly claim = P10,000

r = quarterly interest rate = annual interest rate / 4 = 8% / 4 = 0.08 / 4 = 0.02

n = number of quarters = number of years * Number of quarters in a year = 5 * 4 = 20

Substitute the values into equation (1), we have:

PV60 =  P10,000 * ((1 - (1 / (1 + 0.02))^20) / 0.02)

PV60 = P10,000 * 16.3514333445971

PV60 = P163,514.33  

Step 2: Calculation of one-time payment on his 40th birthday

The one-time payment can be calculated using the formula the following formula:

PV = PV60 / (1 + r)^n ........................ (2)

Where;

PV = Present value or One-time payment = ?

PV60 = present value on 3 months after his 60th birthday = P163,514.33

r = quarterly interest rate = annual interest rate / 4 = 8% / 4 = 0.08 / 4 = 0.02

n = number of quarters from 40th to 3 months after his 60th birthday = (number of years * Number of quarters in a year) + One quarter = (20 * 4) + 1 = 81

Substitute the values into equation (2), we have:

PV = P163,514.33 / (1 + 0.02)^81 = P32,880.77

Therefore, the amount of one-time payment should he make on his 40th birthday to pay off his pension plan is P32,880.77.

7 0
3 years ago
-4.53+(-5.34) compute
Alexus [3.1K]

Answer:

-9.87

Step-by-step explanation:

-4.53 -5.43

= -9.87

3 0
2 years ago
Read 2 more answers
Lolita deposited 500 in her savings account that earns 5% intrest compounded anually. She forgot about it until now, 15 years la
Sonja [21]

Answer:

P = 1039.5

Step-by-step explanation:

Given:-

- The initial amount deposited, Po = 500

- The interest rate applied, I = 5% compounded annually

Find:-

- The amount on her bank statement after 15 years?

Solution:-

- We see that the principal amount increases every year and no transactions have been made in the course of 15 years.

The total amount left in her savings account would be given by the following formula:

                         P = Po * ( 1 + I/100 )^n

- Where, n = number of years passed since deposit. (15 years)

                        P = 500 * ( 1 + 5/100 )^15

                        P = 500 * (1.05)^15

                        P = 1039.5  

6 0
2 years ago
9+15÷3(2)-6<br> Please help me
Firlakuza [10]

Answer:

13

Step-by-step explanation:

4 0
2 years ago
I WILL GIVE BRAINLIEST!!!
Basile [38]
I have returned!

36 can technically be either A or B, although A works better. The workers are trying to see which type of vegetables sell better, and it’s easier to see which bar is taller rather than which slice is bigger.

37 would be the median, or the middle of all the values. The median is 30 (two smaller and two bigger values), while the range is 27 (32-5, range of values), the mode is 5 (the value that occurs the most), and the mean is 20.6 (average of all values). The median is the only value larger than 30, so this would be the best one to tell his parents.
5 0
3 years ago
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