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Kryger [21]
3 years ago
15

I WILL GIVE BRAINLIEST FOR ANSWER WITH EXPLANATION

Mathematics
1 answer:
pav-90 [236]3 years ago
8 0

The combined area of these three rooms is 189 ft².
Therefore we have the equation
4x + 3x + 2x = 189
9x = 189 |:9
x = 21 ft²
area of the kitchen = 4x = 4(21) = 84 ft²
area of the playroom = 3x = 3(21) = 63 ft²
area of the dinning room = 2x = 2(21) = 42 ft²
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A thermos in the shape of a cylinder is filled with coffee. The height of the cylinder is 12 inches and its radius is 2 inches.
dolphi86 [110]

Answer:

V =150.8 in ^3

Step-by-step explanation:

V=πr^2h

V = pi * (2^2) * 12

V =3.14159 * 4*12

V =150.7964474 in^3

to the nearest tenth

V =150.8 in ^3

4 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
PLEASE HELP ME ima dumb and really bad at math :(((( !!
Oksanka [162]

Answer:

-27,0

Step-by-step explanation:

I think, not entirely sure tho.

8 0
3 years ago
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Because of heavy traffic, a bus took 30 minutes to cover a distance of 20 city blocks. How many minutes per city block did the b
aev [14]

a bus took 30 minutes-------------------------- to cover a distance of 20 city blocks<span>

   X minutes------------------------------------------------one (1) city block</span>

 I apply a rule of three

<span> X=(1)*(30)/20=1.5  </span>

 Therefore

 the bus moved 1.5 minutes/block city

<span> </span>

7 0
3 years ago
What is 9/3 as a fraction?
koban [17]
9/3 is already made a fraction.

Why?

Because it is not a whole numer.

Well, this improper fraction can be simplified.

<u>9 </u>  ÷ 3<u>
</u>3    ÷ 3

= 1.
<u />
4 0
3 years ago
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