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Novay_Z [31]
3 years ago
13

What is the solution to the system of linear equations?

Mathematics
1 answer:
tresset_1 [31]3 years ago
4 0
The solution is point ( 0, 2)
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The mass of the boulder is 48,567 kilograms. what is the mass of the boulder in metric tons
butalik [34]
1 KG = .001 metric tons. Move the decimal point over three to make it 48.567 metric tons.
7 0
3 years ago
Read 2 more answers
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
Question 3solve the problem.a moving firm charges a flat fee of $45 plus $40 per hour. Let y be the cost in dollars of using the
MaRussiya [10]

slope (m) = rate.    $40 per hour is the rate, so m = 45

y-intercept (b) = one time fee.   $45 is the flat rate which is the one time fee, so b = 45

y = mx + b

y = 40x + 45

Answer: A


5 0
3 years ago
What is the unit price for a piece of cheese if 1.24 pounds costs $11.25?
Luba_88 [7]

Answer:

$9.07 per pound

Step-by-step explanation:

Take the total cost and divide by the number of pounds

$11.25/ 1.24

$9.072580645 per pound

Rounding to the nearest cent

$9.07 per pound

7 0
3 years ago
Add: (3x^2 - 2x^2 - 6x) + (3x^2 - 5x + 3)
Elina [12.6K]

Answer:

Answer is -6

Hence -6....

4 0
2 years ago
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