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oksian1 [2.3K]
3 years ago
14

Lilie is starting a savings account with $366. She earns $222 every month. How many months until Lilie has saved $898? Round you

r answer to the nearest month.
Mathematics
1 answer:
nignag [31]3 years ago
6 0

Answer:

3 months

Step-by-step explanation:

366+222+222+222=1032

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Evaluate -32 + (2-6)(10).
Sergio039 [100]

Answer:

-72

Step-by-step explanation:

-32 + (2-6)(10).

PEMDAS

parentheses first

-32 + -4*10

Then multiply

-32 -40

Then subtract

-72

7 0
2 years ago
Read 2 more answers
A salesperson makes a commission of 1% of all cars that he sells. If his goal is to make at least $4,285 worth of commission dur
shusha [124]

Answer: $428,500

Step-by-step explanation:

Since commission is 1% = 1/100

Let the missing amount be represented as p

From the question, 1/100 × p = 4285

1/100p = 4285

Divide both sides by 1/100 to get the value of p

p = $4285 ÷ 1/100

p= $4285 × 100/1

p = $428500; i hope this helps, please mark as brainliest answer.

6 0
3 years ago
The guttering hold up to 20 litre of rain water. Work out the length of guttering in meters if the diameter is 11.5cm.
bazaltina [42]

Answer:

1107.0213 cm

Step-by-step explanation:

Assuming this gutter is half a cylinder,

Volume of half a cylinder = 0.5(πr²l)²

where, Volume = 20l, π = 3.142, r = 0.5(11.5) and l = ?

But, the other units are in cm while the Volume is in liters, so let's convert the liters to cm³

It would be easier to convert the liters to m³ then to cm³ rather than converting directly. So,

1000 L = 1 m³

     1 L = ?

1 ÷ 1000 = 0.001 m³

      1 m³ = 1,000,000cm³

0.001 m³ = ?

0.001 x 1,000,000 = 1000 cm³

So, if 1 L = 1000 cm³

      20 L = ?

20 x 1000 = 20,000 cm³

Thus, 20,000 = 0.5(3.142 x 0.5(11.5) x l)

20,000 = 0.5(3.142 x 5.75 x l)

20,000 = 18.0665l

Make l the subject and divide both sides by 18.0665

length = 1107.0213 cm

6 0
2 years ago
I would appreciate it if you help me pls asap !!
masha68 [24]

Answer:

BC= 20 units

Step-by-step explanation:

Since ∆ ABC is an equilateral triangle, all the sides are equal in length.

AC= BC

=>-y+23= 6y+2

=>-y-6y= 2-23

=>-7y= -21

=>y= 21/7

=>y= 3

BC = 6y+2 = 6(3)+2 = 18+2 = 20 units

7 0
3 years ago
Read 2 more answers
The number of people arriving for treatment at an emergency room can be modeled by aPoisson process with a rate parameter of 5/h
saveliy_v [14]

Answer:

(a) The probability of having exactly four arrivals during a particular hour is 0.1754.

(b) The probability that at least 3 people arriving during a particular hour is 0.7350.

(c) The expected arrivals in a 45 minute period (0.75 hours) is 3.75 arrivals.

Step-by-step explanation:

(a) If the arrivals can be modeled by a Poisson process, with λ = 5/hr, the probability of having exactly four arrivals during a particular hour is:

P(X=4)=\frac{\lambda^{X}*e^{-\lambda}  }{X!} =\frac{5^{4}*e^{-5}  }{4!}=\frac{625*0.006737947}{24} =\frac{4.211}{24}=0.1754

The probability of having exactly four arrivals during a particular hour is 0.1754.

(b) The probability that at least 3 people arriving during a particular hour can be written as

P(X>3)=1-P(X\leq3)=1- (P(0)+P(1)+P(2)+P(3))

Using

P(X)=\frac{\lambda^{X}*e^{-\lambda}  }{X!}

We get

P(X>3)=1-P(X\leq3)=1- (P(0)+P(1)+P(2)+P(3))\\P(X>3)=1-(0.0067+ 0.0337+ 0.0842 + 0.1404 )\\P(X>3)=1-0.2650=0.7350\\

The probability that at least 3 people arriving during a particular hour is 0.7350.

(c) The expected arrivals in a 45 minute period (0.75 hours) is

EV=\lambda*t=5*0.75=3.75

8 0
2 years ago
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