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earnstyle [38]
3 years ago
11

Compute the variances in dollar amount and in percentage. (Round to the nearest whole percent.) Indicate whether the variance is

favorable (F) or unfavorable (U). Budgeted Amount - Expense $255.00 Actual Amount $225.00
Mathematics
1 answer:
aev [14]3 years ago
3 0

Answer:

Variance is the difference between a Budgeted Amount and the Actual Amount. In terms of expenses, if the Budgeted amount is more than the Actual amount, the variance is Favorable because less was spent than was supposed to be spent.

The reverse is true.

Variance = Budgeted Amount - Actual amount

= 255 - 225

= $30

Percentage = Variance / Budgeted amount

= 30/255

= 11.76%

The variance is <u>FAVORABLE</u> because the actual amount was less than the budgeted amount.

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A population of flies grows according to the function p(x) = 3(2)x, where x is measured in weeks. A local spider has set up shop
kifflom [539]
The answer is 14 flies 

1. Calculate the population of flies after 3 weeks without the spider: p(3)
2. Calculate the number of eaten flies by the spider after 3 weeks: s(3)
3. Subtract p(3) and s(3) to get  the population of flies after three weeks with the introduced spider.

1. Calculate the population of flies after 3 weeks without the spider:
     p(x) = 3(2)ˣ
     x = 3 (because it is the period of three weeks)
⇒  p(3) = 3 · 2³ = 3 · 8
     p(3) = 24

2. Calculate the number of eaten flies by the spider after 3 weeks:
      s(x) = 2x + 4
      x = 3 (because it is the period of three weeks)
⇒   s(3) = 2 · 3 + 4 = 6 + 4
      s(3) = 10

3. Subtract p(3) and s(3) to get  the population of flies after three weeks with the introduced spider:
    p(3) - s(3) = 24 - 10 = 14
Therefore, there are 14 flies after three weeks with the introduced spider.
6 0
4 years ago
What is the weight of a ring tailed lemur that has a mass of 10 kg? Use w = mg (g = -9.8 m/s^2)
fiasKO [112]

Answer:

None of these

Step-by-step explanation:

Normally, we consider "weight" to be the force due to gravity that an object exerts in the downward direction. It has a positive value equal to the magnitude of "mg". In this instance, it would be ...

... |(10 kg)·(-9.8 N/kg)| = |-98 N| = 98 N

___

However, you're specifically told to use ...

... w = mg

... w = (10 kg)(-9.8 m/s²) = -98 N

This selection is not among those offered.

8 0
3 years ago
The expression 27 + 45 as a product using the GCF and distributive property.
Bogdan [553]

Answer:

(a) By Greatest Common Factor:   (27 + 45 ) = 3( 9 + 15)

(b) By distributive property:   (27 + 45 )  = 9(3) +  9(5)

Step-by-step explanation:

Here, the given expression is 27 + 45 .

Now, by Prime Factorization:

27 = 3 x 3 x 3

45 = 3 x 3 x 5

Here, the 3 is the ONLY prime common factor.

So, the Greatest Common Factor = 3

⇒ (27 + 45 ) = 3( 9 + 15)

Hence, by  Greatest Common Factor:   (27 + 45 ) = 3( 9 + 15)

Now, by distributive property:

A( B + C)  = AB + AC

Here, in the given expression:

(27 + 45 ) = 9 ( 3 + 5)  = 9(3) +  9(5)

or, (27 + 45 )  = 9(3) +  9(5)

Hence, by distributive property:   (27 + 45 )  = 9(3) +  9(5)

5 0
4 years ago
Amy is trying to read her grocery receipt, but it is blurry. The sales tax rate was 7.25%. She pays tax only on the items labele
kap26 [50]
.12 + .22 = $.34 is the total sales tax
8 0
3 years ago
Find the measure of angle RPQ help me please thank u​
xenn [34]

Answer:

\boxed {54^{o}}

Step-by-step explanation:

By Inscribed Angle Theorem, the value of an inscribed angle enclosed by an arc is the half the value of that arc.

⇒ ∠RPQ = 108°/2

⇒ ∠RPQ = 54°

3 0
2 years ago
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