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olya-2409 [2.1K]
3 years ago
11

Grace manufactures and sells miniature digital cameras for $250 each. 1,000 units were sold in May, and management forecasts 4%

growth in unit sales each month. (a) Determine the number of units of camera sales for the month of June. (b) Determine the dollar amount of camera sales for the month of June.
Business
1 answer:
qaws [65]3 years ago
4 0

Answer:

a) 1040 units

b) $260,000

Explanation:

The unit price of a digital camera is $250

The number of units sold in May=1000

Growth forecast is 4%  for June

a)

Number of units in June will be that of May increased by 4%

Increase 1000 by 4 % as;

=104/100 *1000 where 104% = 100%+4%

=1040 units

b)The dollar amount of camera sales for the month of June will be

=multiply number of units in June by the units price of a digital camera

=1040*$250

=$260,000

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Answer:

1287 spade flushes possible in a 52-card deck.

1287 flushes in any suit.

Explanation:

We have been given that a flush in a five-card poker hand is five cards of the same suit. The suits are spades, clubs, diamonds and hearts.

To find the number of possible spade flushes in a 52-card deck, we need to find choosing 5 cards from 13 cards as a standard deck has 13 spades altogether.

^{13}C_5=\frac{13!}{5!(13-5)!}

^{13}C_5=\frac{13!}{5!(8)!}\\\\^{13}C_5=\frac{13*12*11*10*9*8!}{5*4*3*2*1(8)!}

^{13}C_5=13*11*9\\\\^{13}C_5=1287

Therefore, there are 1287 spade flushes possible in a 52-card deck.

Since there 1287 possible suits in spade flushes and flushes of different suits are mutually exclusive events, therefore, there will be 1287 flushes in any suit.

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Bethany needs to borrow $8,000. She can borrow money at 6.9% simple interest for 3 yr or she can borrow at 6.5% with interest co
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The loan options which would result in less total interest is borrowing money at 6.9% simple interest.

<u>Given the following data:</u>

  • Principal, P = $8,000.
  • Interest rate, R = 6.9%
  • Time, T = 3 years
  • Interest rate 2 = 6.5%

To determine which of the loan options would result in less total interest:

<u>For </u><u>simple interest</u><u>:</u>

Mathematically, simple interest is given by the formula:

S.I = \frac{PRT}{100}\\\\S.I = \frac{8000 \times 6.9 \times 3}{100}\\\\S.I = 80 \times 6.9 \times 3

S.I = $1,656.

<u>For </u><u>compound interest</u><u>:</u>

Mathematically, an interest that is compounded continuously given by the formula:

A = Pe^{rt}\\\\A = 8000 \times e^{0.065 \times 3}\\\\A = 8000 \times e^{0.195}\\\\A = 8000 \times 1.2153

A = $9,722.49

Interest = A -P\\\\Interest = 9722.49-8000

Interest = $1,722.49

Read more on simple interest here: brainly.com/question/16992474

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