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Ludmilka [50]
3 years ago
10

1. A number that is a factor of two or more numbers is a ________________.

Mathematics
1 answer:
BARSIC [14]3 years ago
6 0
Hi! Here are my answers for this:

1. common factor
2. common multiple
3. divisible
4. pattern
5. term

I hope that helps!
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Given the equation y-4=3/4(x+8)in point -slope form identity the equation of the same line standard form
Lorico [155]
Hello : 
<span> y-4=3/4(x+8)
</span><span> y-4=(3/4)x+6
</span>(3/4)x -y = -10
3x-4y = - 40 .....(<span>standard form)</span>
6 0
3 years ago
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
Use a calculator to find the approximate value of sin-1 (0.549)
tatyana61 [14]
This is the concept of algebra, we are required to approximate the arcsin of the value given using a calculator;
sin theta=[opposite]/[hypotenuse]
arcsin is the inverse of sin, thus;
arcsin(0.549)=33.2984
the answer is 33.3984°
6 0
3 years ago
Read 2 more answers
Can someone please solve this??
Gre4nikov [31]
V=pi*r^2*h/3
=> h=3V/(pi*r^2)
V=6pi^2 cm^3
r=3 cm

h=3V/(pi*r^2)=6*pi^2 / (pi*3^2) = 2pi  cm

Height = 2 pi cm

5 0
3 years ago
Factor completely: 3x2 + 2x - 1
Alex777 [14]
3x^{2}+2x-1=3x^{2}+3x-x-1= \\  \\ 3x(x+1)-(x+1)=(3x-1)(x+1)

==================================
<em />
<em>"Associate with people who are likely to improve you."</em>
4 0
3 years ago
Read 2 more answers
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