mcgregor is growing alfalfa on 180 acres,which is 30% of his farmland. mcgregor has how many acres of farmland?

Logan's monthly bank statement showed the following deposits

Leno4ka [110]

Logan's monthly bank statement showed the following deposits

and withdrawals:

$31.34, $117.42, -$52.48, -$102.33, $64.90

If Logan's balance in the account was $82.63 at the

beginning of the month, what was the account balance at

the end of the month

3 0

2 years ago

A 6-kg bag of fertilizer covers a rectangular area of 2.5 m by 5.0 m.

Naily [24]

Answer

Given,

Mass of bag = 6 Kg

Area covered by the bag = 2.5 x 5 = 12.5 m²

a) Bags required to cover area = 7.5 x 10.2

= 76.5 m²

Number of bags, N = $\dfrac{76.5}{12.5}$

N = 6.12 = 7 (approx.)

7 Bags of 6 Kg fertilizers will be needed to cover the area.

b) Cost of 6 Kg fertilizers = $15.50

Cost of 7 bags of 6 Kg fertilizers = 7 x $15.50

= $108.50.

8 0

2 years ago

Sylvester and Lin go to the amusement park. Sylvester plays 5 rounds of mini golf and takes 4 turns in the batting cages for $60

leva [86]

Answer:

Step-by-step explanation

let's use g for golf and b for batting cages

So let's start with Sylvester

he plays 5 rounds of mini golf so 5g

and he takes 4 turns in the batting cages so 4b

and he pays 60 dollars for this

SO his equation is 5g+4b=60

Now onto Lin

3g for 3 rounds of golf

6b for 6 turns in the batting cages

He pays 45 dollars

SO his equation is 3g+6b=45

Both equations:

5g+4b=60

3g+6b=45

Now you need to cancel out one variable so you can multiply the first equation by 3 and the second one by -5

15g+12b=120

-15g-30b=-225

Now the g will cancel out when you add both equations

-18b=-105

b=105/18 which is about 5.83 dollars

Now plug in 105/18 into any of the original equations and solve for g

4 0

2 years ago

Modern Vehicles Company came up with two different plans for the next financial year. Plan Y: Increase vehicle production by 5%

ladessa [460]

Answer: plan Y will produce more vehicles after 4 years.

Step-by-step explanation:

1) Plan Y: Increase vehicle production by 5% every year. It means that the rate of production is in geometric progression. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as

Sn = (ar^n - 1)/(r - 1)

Where

n represents the number of term(years) in the sequence.

a represents the first term(number of vehicles in the present year) in the sequence.

r represents the common ratio.

From the information given,

a = 10000

r = 1 + 5/100 = 1.05

n = 4 years

Therefore, the sum of the vehicles produced in the first 4 years, S4 is

S4 = (10000 × 1.05^(4) - 1)/1.05 - 1

S4 = (10000 × 0.21550625)/0.05

S4 = 2155.0625/0.05

S4 = 43101 vehicles

2) Plan Z: Increase production by 300 vehicles every year. It means that the rate of production is in geometric progression. The formula for determining the sum of n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1)d]

Where

n represents the number of terms in the arithmetic sequence.

d represents the common difference of the terms in the arithmetic sequence.

a represents the first term of the arithmetic sequence.

From the information given,

n = 4 years

a = 10000

d = 300

Therefore, the sum of the first 4 terms, S4 would be

S4 = 4/2[10000 × 2 + (4 - 1)300]

S4 = 2[20000 + (3)300]