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jeka94
4 years ago
9

In a small town, the stray cat population is rapidly increasing. There are currently 20 stray cats, and it is estimated

Mathematics
1 answer:
BigorU [14]4 years ago
7 0
2 years will be 80 cats (20 x 2 = 40 (year 1) and 40 x 2 = 80 (year 2))

3 years will be 160 (80 x 2 = 160)

5 years will be (160 x 2 = 320 (year 4) and 320 x 2 = 640 (year 5)) So 5 years will be 640
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In the diagram below, ∆PRQ ∼ ∆DEF. Find each of the following. m∠P DE FE m∠D m∠R the scale factor of ∆PRQ ∼ ∆DEF
Aloiza [94]

Answer:

see below

Step-by-step explanation:

Corresponding angles of similar triangles are equal and corresponding sides are proportional so:

m ∠P = m ∠D = 180° - (35° + 89°) = 56°

m ∠Q = m ∠F = 89°

m ∠ R = m ∠E = 35°

PR/DE =PQ/DF

40/DE = 20/24 cross multiply and solve for DE

DE = 40*24/20

DE = 48

scale factor is DF/PQ = 24/20 = 6/5 so  FE = 6/5 *RQ =6/5 *36 = 43.2

8 0
3 years ago
Consider that point A is reflected across the y-axis. What is the distance between point A and the point of its reflection?
Arisa [49]

Answer:

C

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ), thus

A(3, 4 ) → A'(- 3, 4 )

Since the point A and it's reflection lie on a horizontal line then

distance between = | 3 + 3 | = | 6 | = 6

7 0
3 years ago
Determine the total annual fica tax for an annual salary of $38,480.
egoroff_w [7]
The annual FICA (Federal Insurance Contributions Act) tax is composed of two parts: Social Security and Medicare Taxes. On the employee's side, he/she has to shoulder 6.2% of the annual salary for the Social Security Tax, and 1.45% of the annual salary for the Medicare Tax. So in total, FICA takes 7.65% of your annual salary as tax. To calculate the FICA tax to be paid, this is shown below:

$38,480 x 7.65% = $2943.72

Therefore, for an annual salary of $38,480, $2943.72 goes into FICA tax payment.
6 0
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Answer:

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Step-by-step explanation:

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a man earns rs4300 per month. He spends 80percent from his income . How much amount does he save in a year.​
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