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Savatey [412]
3 years ago
10

A group of tourists spends $156 to rent snorkels and fins. A total of 15 snorkels and 18 pairs of fins are rented. Renting a sno

rkel costs four times as much as renting a pair of fins. How much does it cost to rent a snorkel?
Mathematics
2 answers:
Bas_tet [7]3 years ago
5 0
You could use many methods to find the answer to this problem, but I am going to use the most efficient one I know.
18f+15(4f)=156
F is for fins. We should now solve the equation.
18f+60f=156
78f=156
156÷78=2
So fins cost 2 dollars. Now, we know snorkels cost four times the amount of fins. Four times 2 is eight. So the snorkels cost $8 to rent. Let's check our math.
15(8) + 18(2)
120+36=156
So it cost $8 to rent a snorkel.
eimsori [14]3 years ago
3 0

Answer:

<h2>A snorkel's rent costs $8</h2>

Step-by-step explanation:

Givens:

  • Total spend $156.
  • Snorkels rented: 15
  • Pair of find rented: 18

The problem specifies that a snorkel costs four times as much as a pair of fins, that is:

s: snorkels.

f: fins.

s=4f

The equation that represents the total cost is:

15s+18f=156

Now, we just have to substitute the expression for snorkels in the total cost equation:

15(4f)+18f=156

60f+18f=156

78f=156

f=\frac{156}{78}=2

Then, s=4f

s=4(2)=8

Therefore, a snorkel's rent costs $8.

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6 0
3 years ago
hat semiannual annuity payment is needed to have $500,000 in 15 years if the annuity pays 6.3% interest
KonstantinChe [14]

The required semiannual annuity payment is $10,256.72

What is future value of an annuity?

The future value of an annuity is the accumulated amount in the future that could be achieved by making a fixed periodic savings, it is a semiannual fixed payment that is required in this case.

The future value formula for an ordinary annuity provided below can be used to determine the semiannual payment needed:

FV=PMT*(1+r)^N-1/r

FV=future value=$500,000

PMT=semiannual payment required=unknown

r=semiannual interest rate=6.3%/2=3.15%=0.0315

N=number of semiannual payments in 15 years=15*2=30

$500,000=PMT*(1+0.0315)^30-1/0.0315

$500,000=PMT*(1.0315)^30-1/0.0315

$500,000=PMT*(2.53557796686568000-1)/0.0315

$500,000=PMT*1.53557796686568000/0.0315

PMT=$500,000/1.53557796686568000*0.0315

PMT=$10,256.72

Find out more about future value of an ordinary annuity on:brainly.com/question/14761171

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2 years ago
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